From c7fc8e91d00bc9ea1139f33b192783dedeb38b54 Mon Sep 17 00:00:00 2001 From: "Sergey Semyonov (Serge)" Date: Thu, 8 Sep 2016 17:51:39 +0000 Subject: [PATCH] libgcc-5.4.0 initial commit git-svn-id: svn://kolibrios.org@6515 a494cfbc-eb01-0410-851d-a64ba20cac60 --- contrib/toolchain/gcc/5x/gcc/auto-host.h | 2262 + contrib/toolchain/gcc/5x/gcc/config/dbxcoff.h | 62 + .../toolchain/gcc/5x/gcc/config/i386/bsd.h | 99 + .../gcc/5x/gcc/config/i386/cygming.h | 481 + .../toolchain/gcc/5x/gcc/config/i386/gas.h | 124 + .../gcc/5x/gcc/config/i386/i386-opts.h | 102 + .../toolchain/gcc/5x/gcc/config/i386/i386.h | 2580 + .../gcc/5x/gcc/config/i386/mingw-stdint.h | 50 + .../gcc/5x/gcc/config/i386/mingw32.h | 257 + .../gcc/5x/gcc/config/i386/stringop.def | 37 + .../toolchain/gcc/5x/gcc/config/i386/unix.h | 80 + .../gcc/5x/gcc/config/i386/x86-tune.def | 544 + .../gcc/5x/gcc/config/i386/xm-mingw32.h | 31 + .../gcc/5x/gcc/config/initfini-array.h | 45 + .../toolchain/gcc/5x/gcc/config/tm-dwarf2.h | 4 + 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Generated from config.in by configure. */ +/* config.in. Generated from configure.ac by autoheader. */ + +/* Define if this compiler should be built as the offload target compiler. */ +#ifndef USED_FOR_TARGET +/* #undef ACCEL_COMPILER */ +#endif + + +/* Define if building universal (internal helper macro) */ +#ifndef USED_FOR_TARGET +/* #undef AC_APPLE_UNIVERSAL_BUILD */ +#endif + + +/* Define to the assembler option to enable compressed debug sections. */ +#ifndef USED_FOR_TARGET +#define AS_COMPRESS_DEBUG_OPTION "--compress-debug-sections" +#endif + + +/* Define to the assembler option to disable compressed debug sections. */ +#ifndef USED_FOR_TARGET +#define AS_NO_COMPRESS_DEBUG_OPTION "--nocompress-debug-sections" +#endif + + +/* Define as the number of bits in a byte, if `limits.h' doesn't. */ +#ifndef USED_FOR_TARGET +/* #undef CHAR_BIT */ +#endif + + +/* Define 0/1 to force the choice for exception handling model. */ +#ifndef USED_FOR_TARGET +#define CONFIG_SJLJ_EXCEPTIONS 0 +#endif + + +/* Define to enable the use of a default assembler. */ +#ifndef USED_FOR_TARGET +/* #undef DEFAULT_ASSEMBLER */ +#endif + + +/* Define to enable the use of a default linker. */ +#ifndef USED_FOR_TARGET +/* #undef DEFAULT_LINKER */ +#endif + + +/* Define if you want to use __cxa_atexit, rather than atexit, to register C++ + destructors for local statics and global objects. This is essential for + fully standards-compliant handling of destructors, but requires + __cxa_atexit in libc. */ +#ifndef USED_FOR_TARGET +#define DEFAULT_USE_CXA_ATEXIT 2 +#endif + + +/* The default for -fdiagnostics-color option */ +#ifndef USED_FOR_TARGET +#define DIAGNOSTICS_COLOR_DEFAULT DIAGNOSTICS_COLOR_AUTO +#endif + + +/* Define if you want assertions enabled. This is a cheap check. */ +#ifndef USED_FOR_TARGET +#define ENABLE_ASSERT_CHECKING 1 +#endif + + +/* Define if you want more run-time sanity checks. This one gets a grab bag of + miscellaneous but relatively cheap checks. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_CHECKING */ +#endif + + +/* Define to 1 to specify that we are using the BID decimal floating point + format instead of DPD */ +#ifndef USED_FOR_TARGET +#define ENABLE_DECIMAL_BID_FORMAT 1 +#endif + + +/* Define to 1 to enable decimal float extension to C. */ +#ifndef USED_FOR_TARGET +#define ENABLE_DECIMAL_FLOAT 1 +#endif + + +/* Define if you want more run-time sanity checks for dataflow. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_DF_CHECKING */ +#endif + + +/* Define to 1 to enable fixed-point arithmetic extension to C. */ +#ifndef USED_FOR_TARGET +#define ENABLE_FIXED_POINT 0 +#endif + + +/* Define if you want fold checked that it never destructs its argument. This + is quite expensive. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_FOLD_CHECKING */ +#endif + + +/* Define if you want the garbage collector to operate in maximally paranoid + mode, validating the entire heap and collecting garbage at every + opportunity. This is extremely expensive. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_GC_ALWAYS_COLLECT */ +#endif + + +/* Define if you want the garbage collector to do object poisoning and other + memory allocation checks. This is quite expensive. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_GC_CHECKING */ +#endif + + +/* Define if you want operations on GIMPLE (the basic data structure of the + high-level optimizers) to be checked for dynamic type safety at runtime. + This is moderately expensive. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_GIMPLE_CHECKING */ +#endif + + +/* Define if gcc should always pass --build-id to linker. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_LD_BUILDID */ +#endif + + +/* Define to 1 to enable libquadmath support */ +#ifndef USED_FOR_TARGET +#define ENABLE_LIBQUADMATH_SUPPORT 1 +#endif + + +/* Define to enable LTO support. */ +#ifndef USED_FOR_TARGET +#define ENABLE_LTO 1 +#endif + + +/* Define to 1 if translation of program messages to the user's native + language is requested. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_NLS */ +#endif + + +/* Define this to enable support for offloading. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_OFFLOADING */ +#endif + + +/* Define to enable plugin support. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_PLUGIN */ +#endif + + +/* Define if you want all operations on RTL (the basic data structure of the + optimizer and back end) to be checked for dynamic type safety at runtime. + This is quite expensive. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_RTL_CHECKING */ +#endif + + +/* Define if you want RTL flag accesses to be checked against the RTL codes + that are supported for each access macro. This is relatively cheap. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_RTL_FLAG_CHECKING */ +#endif + + +/* Define if you want runtime assertions enabled. This is a cheap check. */ +#define ENABLE_RUNTIME_CHECKING 1 + +/* Define if you want all operations on trees (the basic data structure of the + front ends) to be checked for dynamic type safety at runtime. This is + moderately expensive. The tree browser debugging routines will also be + enabled by this option. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_TREE_CHECKING */ +#endif + + +/* Define if you want all gimple types to be verified after gimplifiation. + This is cheap. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_TYPES_CHECKING */ +#endif + + +/* Define to get calls to the valgrind runtime enabled. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_VALGRIND_ANNOTATIONS */ +#endif + + +/* Define if you want to run subprograms and generated programs through + valgrind (a memory checker). This is extremely expensive. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_VALGRIND_CHECKING */ +#endif + + +/* Define to 1 if installation paths should be looked up in the Windows + Registry. Ignored on non-Windows hosts. */ +#ifndef USED_FOR_TARGET +/* #undef ENABLE_WIN32_REGISTRY */ +#endif + + +/* Define to the name of a file containing a list of extra machine modes for + this architecture. */ +#ifndef USED_FOR_TARGET +#define EXTRA_MODES_FILE "config/i386/i386-modes.def" +#endif + + +/* Define to enable detailed memory allocation stats gathering. */ +#ifndef USED_FOR_TARGET +#define GATHER_STATISTICS 0 +#endif + + +/* Define to 1 if `TIOCGWINSZ' requires . */ +#ifndef USED_FOR_TARGET +/* #undef GWINSZ_IN_SYS_IOCTL */ +#endif + + +/* mcontext_t fields start with __ */ +#ifndef USED_FOR_TARGET +/* #undef HAS_MCONTEXT_T_UNDERSCORES */ +#endif + + +/* Define if your avr assembler supports --mlink-relax option. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_AVR_MLINK_RELAX_OPTION */ +#endif + + +/* Define if your avr assembler supports -mrmw option. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_AVR_MRMW_OPTION */ +#endif + + +/* Define if your assembler supports cmpb. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_CMPB */ +#endif + + +/* Define to the level of your assembler's compressed debug section support. + */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_COMPRESS_DEBUG 1 +#endif + + +/* Define if your assembler supports the DCI/ICI instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_DCI */ +#endif + + +/* Define if your assembler supports the --debug-prefix-map option. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_DEBUG_PREFIX_MAP 1 +#endif + + +/* Define if your assembler supports DFP instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_DFP */ +#endif + + +/* Define if your assembler supports .module. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_DOT_MODULE */ +#endif + + +/* Define if your assembler supports DSPR1 mult. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_DSPR1_MULT */ +#endif + + +/* Define if your assembler supports .dtprelword. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_DTPRELWORD */ +#endif + + +/* Define if your assembler supports dwarf2 .file/.loc directives, and + preserves file table indices exactly as given. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_DWARF2_DEBUG_LINE 1 +#endif + + +/* Define if your assembler supports explicit relocations. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_EXPLICIT_RELOCS */ +#endif + + +/* Define if your assembler supports FMAF, HPC, and VIS 3.0 instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_FMAF_HPC_VIS3 */ +#endif + + +/* Define if your assembler supports fprnd. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_FPRND */ +#endif + + +/* Define if your assembler supports the --gdwarf2 option. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_GDWARF2_DEBUG_FLAG 1 +#endif + + +/* Define if your assembler supports .gnu_attribute. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_GNU_ATTRIBUTE */ +#endif + + +/* Define true if the assembler supports '.long foo@GOTOFF'. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_GOTOFF_IN_DATA 1 +#endif + + +/* Define if your assembler supports the --gstabs option. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_GSTABS_DEBUG_FLAG 1 +#endif + + +/* Define if your assembler supports the Sun syntax for cmov. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_IX86_CMOV_SUN_SYNTAX */ +#endif + + +/* Define if your assembler supports the subtraction of symbols in different + sections. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_DIFF_SECT_DELTA 1 +#endif + + +/* Define if your assembler supports the ffreep mnemonic. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_FFREEP 1 +#endif + + +/* Define if your assembler uses fildq and fistq mnemonics. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_FILDQ 1 +#endif + + +/* Define if your assembler uses filds and fists mnemonics. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_FILDS 1 +#endif + + +/* Define if your assembler supports HLE prefixes. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_HLE 1 +#endif + + +/* Define if your assembler supports interunit movq mnemonic. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_INTERUNIT_MOVQ 1 +#endif + + +/* Define if your assembler supports the .quad directive. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_QUAD 1 +#endif + + +/* Define if the assembler supports 'rep , lock '. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_REP_LOCK_PREFIX 1 +#endif + + +/* Define if your assembler supports the sahf mnemonic in 64bit mode. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_SAHF 1 +#endif + + +/* Define if your assembler supports the swap suffix. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_SWAP 1 +#endif + + +/* Define if your assembler and linker support @tlsgdplt. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_IX86_TLSGDPLT */ +#endif + + +/* Define to 1 if your assembler and linker support @tlsldm. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_TLSLDM 0 +#endif + + +/* Define to 1 if your assembler and linker support @tlsldmplt. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_TLSLDMPLT 0 +#endif + + +/* Define if your assembler supports the 'ud2' mnemonic. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_IX86_UD2 1 +#endif + + +/* Define if your assembler supports the lituse_jsrdirect relocation. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_JSRDIRECT_RELOCS */ +#endif + + +/* Define if your assembler supports .sleb128 and .uleb128. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_LEB128 1 +#endif + + +/* Define if your assembler supports LEON instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_LEON */ +#endif + + +/* Define if the assembler won't complain about a line such as # 0 "" 2. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_LINE_ZERO 1 +#endif + + +/* Define if your assembler supports ltoffx and ldxmov relocations. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_LTOFFX_LDXMOV_RELOCS */ +#endif + + +/* Define if your assembler supports LWSYNC instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_LWSYNC */ +#endif + + +/* Define if your assembler supports the -mabi option. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_MABI_OPTION */ +#endif + + +/* Define if your assembler supports mfcr field. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_MFCRF */ +#endif + + +/* Define if your assembler supports mffgpr and mftgpr. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_MFPGPR */ +#endif + + +/* Define if the assembler understands -mnan=. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_NAN */ +#endif + + +/* Define if your assembler supports the -no-mul-bug-abort option. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_NO_MUL_BUG_ABORT_OPTION */ +#endif + + +/* Define if the assembler understands -mno-shared. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_NO_SHARED */ +#endif + + +/* Define if your assembler supports offsetable %lo(). */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_OFFSETABLE_LO10 */ +#endif + + +/* Define if your assembler supports popcntb field. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_POPCNTB */ +#endif + + +/* Define if your assembler supports POPCNTD instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_POPCNTD */ +#endif + + +/* Define if your assembler supports POWER8 instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_POWER8 */ +#endif + + +/* Define if your assembler supports .ref */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_REF */ +#endif + + +/* Define if your assembler supports .register. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_REGISTER_PSEUDO_OP */ +#endif + + +/* Define if your assembler supports R_PPC_REL16 relocs. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_REL16 */ +#endif + + +/* Define if your assembler supports -relax option. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_RELAX_OPTION */ +#endif + + +/* Define if your assembler supports SPARC4 instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_SPARC4 */ +#endif + + +/* Define if your assembler and linker support GOTDATA_OP relocs. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_SPARC_GOTDATA_OP */ +#endif + + +/* Define to 1 if your assembler supports #nobits, 0 otherwise. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_SPARC_NOBITS */ +#endif + + +/* Define if your assembler and linker support unaligned PC relative relocs. + */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_SPARC_UA_PCREL */ +#endif + + +/* Define if your assembler and linker support unaligned PC relative relocs + against hidden symbols. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_SPARC_UA_PCREL_HIDDEN */ +#endif + + +/* Define if your assembler supports .stabs. */ +#ifndef USED_FOR_TARGET +#define HAVE_AS_STABS_DIRECTIVE 1 +#endif + + +/* Define if your assembler and linker support thread-local storage. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_TLS */ +#endif + + +/* Define if your assembler supports arg info for __tls_get_addr. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_TLS_MARKERS */ +#endif + + +/* Define if your assembler supports VSX instructions. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_AS_VSX */ +#endif + + +/* Define to 1 if you have the `atoll' function. */ +#ifndef USED_FOR_TARGET +#define HAVE_ATOLL 1 +#endif + + +/* Define to 1 if you have the `atoq' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_ATOQ */ +#endif + + +/* Define to 1 if you have the `clearerr_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_CLEARERR_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `clock' function. */ +#ifndef USED_FOR_TARGET +#define HAVE_CLOCK 1 +#endif + + +/* Define if defines clock_t. */ +#ifndef USED_FOR_TARGET +#define HAVE_CLOCK_T 1 +#endif + + +/* Define 0/1 if your assembler and linker support COMDAT groups. */ +#ifndef USED_FOR_TARGET +#define HAVE_COMDAT_GROUP 0 +#endif + + +/* Define to 1 if we found a declaration for 'abort', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_ABORT 1 +#endif + + +/* Define to 1 if we found a declaration for 'asprintf', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_ASPRINTF 0 +#endif + + +/* Define to 1 if we found a declaration for 'atof', otherwise define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_ATOF 1 +#endif + + +/* Define to 1 if we found a declaration for 'atol', otherwise define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_ATOL 1 +#endif + + +/* Define to 1 if we found a declaration for 'basename', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_BASENAME 0 +#endif + + +/* Define to 1 if we found a declaration for 'calloc', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_CALLOC 1 +#endif + + +/* Define to 1 if we found a declaration for 'clearerr_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_CLEARERR_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'clock', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_CLOCK 1 +#endif + + +/* Define to 1 if we found a declaration for 'errno', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_ERRNO 1 +#endif + + +/* Define to 1 if we found a declaration for 'feof_unlocked', otherwise define + to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FEOF_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'ferror_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FERROR_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fflush_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FFLUSH_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'ffs', otherwise define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FFS 0 +#endif + + +/* Define to 1 if we found a declaration for 'fgetc_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FGETC_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fgets_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FGETS_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fileno_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FILENO_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fprintf_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FPRINTF_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fputc_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FPUTC_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fputs_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FPUTS_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'fread_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FREAD_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'free', otherwise define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FREE 1 +#endif + + +/* Define to 1 if we found a declaration for 'fwrite_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_FWRITE_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'getchar_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETCHAR_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'getcwd', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETCWD 1 +#endif + + +/* Define to 1 if we found a declaration for 'getc_unlocked', otherwise define + to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETC_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'getenv', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETENV 1 +#endif + + +/* Define to 1 if we found a declaration for 'getopt', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETOPT 0 +#endif + + +/* Define to 1 if we found a declaration for 'getpagesize', otherwise define + to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETPAGESIZE 0 +#endif + + +/* Define to 1 if we found a declaration for 'getrlimit', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETRLIMIT 0 +#endif + + +/* Define to 1 if we found a declaration for 'getrusage', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETRUSAGE 0 +#endif + + +/* Define to 1 if we found a declaration for 'getwd', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_GETWD 0 +#endif + + +/* Define to 1 if we found a declaration for 'ldgetname', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_LDGETNAME 0 +#endif + + +/* Define to 1 if we found a declaration for 'madvise', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_MADVISE 0 +#endif + + +/* Define to 1 if we found a declaration for 'malloc', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_MALLOC 1 +#endif + + +/* Define to 1 if we found a declaration for 'putchar_unlocked', otherwise + define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_PUTCHAR_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'putc_unlocked', otherwise define + to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_PUTC_UNLOCKED 0 +#endif + + +/* Define to 1 if we found a declaration for 'realloc', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_REALLOC 1 +#endif + + +/* Define to 1 if we found a declaration for 'sbrk', otherwise define to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_SBRK 0 +#endif + + +/* Define to 1 if we found a declaration for 'setrlimit', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_SETRLIMIT 0 +#endif + + +/* Define to 1 if we found a declaration for 'sigaltstack', otherwise define + to 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_SIGALTSTACK 0 +#endif + + +/* Define to 1 if we found a declaration for 'snprintf', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_SNPRINTF 1 +#endif + + +/* Define to 1 if we found a declaration for 'stpcpy', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STPCPY 0 +#endif + + +/* Define to 1 if we found a declaration for 'strnlen', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRNLEN 0 +#endif + + +/* Define to 1 if we found a declaration for 'strsignal', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRSIGNAL 1 +#endif + + +/* Define to 1 if we found a declaration for 'strstr', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRSTR 1 +#endif + + +/* Define to 1 if we found a declaration for 'strtol', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRTOL 1 +#endif + + +/* Define to 1 if we found a declaration for 'strtoll', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRTOLL 1 +#endif + + +/* Define to 1 if we found a declaration for 'strtoul', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRTOUL 1 +#endif + + +/* Define to 1 if we found a declaration for 'strtoull', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRTOULL 1 +#endif + + +/* Define to 1 if we found a declaration for 'strverscmp', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_STRVERSCMP 0 +#endif + + +/* Define to 1 if we found a declaration for 'times', otherwise define to 0. + */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_TIMES 0 +#endif + + +/* Define to 1 if we found a declaration for 'vasprintf', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_VASPRINTF 0 +#endif + + +/* Define to 1 if we found a declaration for 'vsnprintf', otherwise define to + 0. */ +#ifndef USED_FOR_TARGET +#define HAVE_DECL_VSNPRINTF 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_DIRECT_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_DLFCN_H */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_EXT_HASH_MAP 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_FCNTL_H 1 +#endif + + +/* Define to 1 if you have the `feof_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FEOF_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `ferror_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FERROR_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fflush_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FFLUSH_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fgetc_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FGETC_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fgets_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FGETS_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fileno_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FILENO_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fork' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FORK */ +#endif + + +/* Define to 1 if you have the `fprintf_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FPRINTF_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fputc_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FPUTC_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fputs_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FPUTS_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `fread_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FREAD_UNLOCKED */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FTW_H */ +#endif + + +/* Define to 1 if you have the `fwrite_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_FWRITE_UNLOCKED */ +#endif + + +/* Define if your assembler supports specifying the alignment of objects + allocated using the GAS .comm command. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_ALIGNED_COMM 1 +#endif + + +/* Define if your assembler supports .balign and .p2align. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_BALIGN_AND_P2ALIGN 1 +#endif + + +/* Define 0/1 if your assembler supports CFI directives. */ +#define HAVE_GAS_CFI_DIRECTIVE 1 + +/* Define 0/1 if your assembler supports .cfi_personality. */ +#define HAVE_GAS_CFI_PERSONALITY_DIRECTIVE 1 + +/* Define 0/1 if your assembler supports .cfi_sections. */ +#define HAVE_GAS_CFI_SECTIONS_DIRECTIVE 1 + +/* Define if your assembler supports the .loc discriminator sub-directive. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_DISCRIMINATOR 1 +#endif + + +/* Define if your assembler supports @gnu_unique_object. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GAS_GNU_UNIQUE_OBJECT */ +#endif + + +/* Define if your assembler and linker support .hidden. */ +/* #undef HAVE_GAS_HIDDEN */ + +/* Define if your assembler supports .lcomm with an alignment field. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_LCOMM_WITH_ALIGNMENT 1 +#endif + + +/* Define if your assembler supports .literal16. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GAS_LITERAL16 */ +#endif + + +/* Define if your assembler supports specifying the maximum number of bytes to + skip when using the GAS .p2align command. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_MAX_SKIP_P2ALIGN 1 +#endif + + +/* Define if your assembler supports the .set micromips directive */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GAS_MICROMIPS */ +#endif + + +/* Define if your assembler supports .nsubspa comdat option. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GAS_NSUBSPA_COMDAT */ +#endif + + +/* Define if your assembler and linker support 32-bit section relative relocs + via '.secrel32 label'. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_PE_SECREL32_RELOC 1 +#endif + + +/* Define if your assembler supports specifying the section flag e. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_SECTION_EXCLUDE 1 +#endif + + +/* Define 0/1 if your assembler supports marking sections with SHF_MERGE flag. + */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_SHF_MERGE 0 +#endif + + +/* Define if your assembler supports .subsection and .subsection -1 starts + emitting at the beginning of your section. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GAS_SUBSECTION_ORDERING */ +#endif + + +/* Define if your assembler supports .weak. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_WEAK 1 +#endif + + +/* Define if your assembler supports .weakref. */ +#ifndef USED_FOR_TARGET +#define HAVE_GAS_WEAKREF 1 +#endif + + +/* Define to 1 if you have the `getchar_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GETCHAR_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `getc_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GETC_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `getrlimit' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GETRLIMIT */ +#endif + + +/* Define to 1 if you have the `getrusage' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_GETRUSAGE */ +#endif + + +/* Define to 1 if you have the `gettimeofday' function. */ +#ifndef USED_FOR_TARGET +#define HAVE_GETTIMEOFDAY 1 +#endif + + +/* Define to 1 if using GNU as. */ +#ifndef USED_FOR_TARGET +#define HAVE_GNU_AS 1 +#endif + + +/* Define if your system supports gnu indirect functions. */ +#ifndef USED_FOR_TARGET +#define HAVE_GNU_INDIRECT_FUNCTION 0 +#endif + + +/* Define to 1 if using GNU ld. */ +#ifndef USED_FOR_TARGET +#define HAVE_GNU_LD 1 +#endif + + +/* Define if you have the iconv() function. */ +#ifndef USED_FOR_TARGET +#define HAVE_ICONV 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_ICONV_H 1 +#endif + + +/* Define .init_array/.fini_array sections are available and working. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_INITFINI_ARRAY_SUPPORT */ +#endif + + +/* Define to 1 if the system has the type `intmax_t'. */ +#ifndef USED_FOR_TARGET +#define HAVE_INTMAX_T 1 +#endif + + +/* Define to 1 if the system has the type `intptr_t'. */ +#ifndef USED_FOR_TARGET +#define HAVE_INTPTR_T 1 +#endif + + +/* Define if you have a working header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_INTTYPES_H 1 +#endif + + +/* Define if isl_options_set_schedule_serialize_sccs exists. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_ISL_OPTIONS_SET_SCHEDULE_SERIALIZE_SCCS */ +#endif + + +/* Define if isl_schedule_constraints_compute_schedule exists. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_ISL_SCHED_CONSTRAINTS_COMPUTE_SCHEDULE */ +#endif + + +/* Define to 1 if you have the `kill' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_KILL */ +#endif + + +/* Define if you have and nl_langinfo(CODESET). */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LANGINFO_CODESET */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LANGINFO_H */ +#endif + + +/* Define if your file defines LC_MESSAGES. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LC_MESSAGES */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LDFCN_H */ +#endif + + +/* Define if your linker supports --as-needed/--no-as-needed or equivalent + options. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_AS_NEEDED 1 +#endif + + +/* Define if your linker supports --build-id. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_BUILDID 1 +#endif + + +/* Define if the linker supports clearing hardware capabilities via mapfile. + */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_CLEARCAP */ +#endif + + +/* Define to the level of your linker's compressed debug section support. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_COMPRESS_DEBUG 1 +#endif + + +/* Define if your linker supports --demangle option. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_DEMANGLE 1 +#endif + + +/* Define 0/1 if your linker supports CIE v3 in .eh_frame. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_EH_FRAME_CIEV3 1 +#endif + + +/* Define if your linker supports .eh_frame_hdr. */ +/* #undef HAVE_LD_EH_FRAME_HDR */ + +/* Define if your linker supports garbage collection of sections in presence + of EH frames. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_EH_GC_SECTIONS */ +#endif + + +/* Define if your linker has buggy garbage collection of sections support when + .text.startup.foo like sections are used. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_EH_GC_SECTIONS_BUG */ +#endif + + +/* Define if your PowerPC64 linker supports a large TOC. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_LARGE_TOC */ +#endif + + +/* Define if your PowerPC64 linker only needs function descriptor syms. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_NO_DOT_SYMS */ +#endif + + +/* Define if your linker can relax absolute .eh_frame personality pointers + into PC-relative form. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_PERSONALITY_RELAXATION */ +#endif + + +/* Define if your linker supports PIE option. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_PIE 1 +#endif + + +/* Define 0/1 if your linker supports -pie option with copy reloc. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_PIE_COPYRELOC 0 +#endif + + +/* Define if your linker links a mix of read-only and read-write sections into + a read-write section. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_RO_RW_SECTION_MIXING */ +#endif + + +/* Define if your linker supports the *_sol2 emulations. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_LD_SOL2_EMULATION */ +#endif + + +/* Define if your linker supports -Bstatic/-Bdynamic or equivalent options. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_STATIC_DYNAMIC 1 +#endif + + +/* Define if your linker supports --sysroot. */ +#ifndef USED_FOR_TARGET +#define HAVE_LD_SYSROOT 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_LIMITS_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_LOCALE_H 1 +#endif + + +/* Define to 1 if the system has the type `long long'. */ +#ifndef USED_FOR_TARGET +#define HAVE_LONG_LONG 1 +#endif + + +/* Define to 1 if the system has the type `long long int'. */ +#ifndef USED_FOR_TARGET +#define HAVE_LONG_LONG_INT 1 +#endif + + +/* Define to the level of your linker's plugin support. */ +#ifndef USED_FOR_TARGET +#define HAVE_LTO_PLUGIN 2 +#endif + + +/* Define to 1 if you have the `madvise' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_MADVISE */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_MALLOC_H 1 +#endif + + +/* Define to 1 if you have the `mbstowcs' function. */ +#ifndef USED_FOR_TARGET +#define HAVE_MBSTOWCS 1 +#endif + + +/* Define if valgrind's memcheck.h header is installed. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_MEMCHECK_H */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_MEMORY_H 1 +#endif + + +/* Define to 1 if you have the `mmap' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_MMAP */ +#endif + + +/* Define if mmap with MAP_ANON(YMOUS) works. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_MMAP_ANON */ +#endif + + +/* Define if mmap of /dev/zero works. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_MMAP_DEV_ZERO */ +#endif + + +/* Define if read-only mmap of a plain file works. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_MMAP_FILE */ +#endif + + +/* Define to 1 if you have the `nl_langinfo' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_NL_LANGINFO */ +#endif + + +/* Define to 1 if you have the `popen' function. */ +#ifndef USED_FOR_TARGET +#define HAVE_POPEN 1 +#endif + + +/* Define to 1 if you have the `putchar_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_PUTCHAR_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `putc_unlocked' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_PUTC_UNLOCKED */ +#endif + + +/* Define to 1 if you have the `setlocale' function. */ +#ifndef USED_FOR_TARGET +#define HAVE_SETLOCALE 1 +#endif + + +/* Define to 1 if you have the `setrlimit' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SETRLIMIT */ +#endif + + +/* Define if the system-provided CRTs are present on Solaris. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SOLARIS_CRTS */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_STDDEF_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_STDINT_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_STDLIB_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_STRINGS_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_STRING_H 1 +#endif + + +/* Define to 1 if you have the `strsignal' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_STRSIGNAL */ +#endif + + +/* Define if defines struct tms. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_STRUCT_TMS */ +#endif + + +/* Define to 1 if you have the `sysconf' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SYSCONF */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_SYS_FILE_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SYS_MMAN_H */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_SYS_PARAM_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SYS_RESOURCE_H */ +#endif + + +/* Define if your target C library provides sys/sdt.h */ +/* #undef HAVE_SYS_SDT_H */ + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_SYS_STAT_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SYS_TIMES_H */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_SYS_TIME_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_SYS_TYPES_H 1 +#endif + + +/* Define to 1 if you have that is POSIX.1 compatible. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_SYS_WAIT_H */ +#endif + + +/* Define to 1 if you have the `times' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_TIMES */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_TIME_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_TR1_UNORDERED_MAP 1 +#endif + + +/* Define to 1 if the system has the type `uintmax_t'. */ +#ifndef USED_FOR_TARGET +#define HAVE_UINTMAX_T 1 +#endif + + +/* Define to 1 if the system has the type `uintptr_t'. */ +#ifndef USED_FOR_TARGET +#define HAVE_UINTPTR_T 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_UNISTD_H 1 +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_UNORDERED_MAP */ +#endif + + +/* Define to 1 if the system has the type `unsigned long long int'. */ +#ifndef USED_FOR_TARGET +#define HAVE_UNSIGNED_LONG_LONG_INT 1 +#endif + + +/* Define if valgrind's valgrind/memcheck.h header is installed. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_VALGRIND_MEMCHECK_H */ +#endif + + +/* Define to 1 if you have the `vfork' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_VFORK */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_VFORK_H */ +#endif + + +/* Define to 1 if you have the header file. */ +#ifndef USED_FOR_TARGET +#define HAVE_WCHAR_H 1 +#endif + + +/* Define to 1 if you have the `wcswidth' function. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_WCSWIDTH */ +#endif + + +/* Define to 1 if `fork' works. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_WORKING_FORK */ +#endif + + +/* Define this macro if mbstowcs does not crash when its first argument is + NULL. */ +#ifndef USED_FOR_TARGET +#define HAVE_WORKING_MBSTOWCS 1 +#endif + + +/* Define to 1 if `vfork' works. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_WORKING_VFORK */ +#endif + + +/* Define if isl is in use. */ +#ifndef USED_FOR_TARGET +/* #undef HAVE_isl */ +#endif + + +/* Define if F_SETLKW supported by fcntl. */ +#ifndef USED_FOR_TARGET +/* #undef HOST_HAS_F_SETLKW */ +#endif + + +/* Define as const if the declaration of iconv() needs const. */ +#ifndef USED_FOR_TARGET +#define ICONV_CONST +#endif + + +/* Define if int64_t uses long as underlying type. */ +#ifndef USED_FOR_TARGET +/* #undef INT64_T_IS_LONG */ +#endif + + +/* Define to the linker option to ignore unused dependencies. */ +#ifndef USED_FOR_TARGET +#define LD_AS_NEEDED_OPTION "--as-needed" +#endif + + +/* Define to the linker option to enable compressed debug sections. */ +#ifndef USED_FOR_TARGET +#define LD_COMPRESS_DEBUG_OPTION "" +#endif + + +/* Define to the linker option to enable use of shared objects. */ +#ifndef USED_FOR_TARGET +#define LD_DYNAMIC_OPTION "-Bdynamic" +#endif + + +/* Define to the linker option to keep unused dependencies. */ +#ifndef USED_FOR_TARGET +#define LD_NO_AS_NEEDED_OPTION "--no-as-needed" +#endif + + +/* Define to the linker option to disable use of shared objects. */ +#ifndef USED_FOR_TARGET +#define LD_STATIC_OPTION "-Bstatic" +#endif + + +/* The linker hash style */ +#ifndef USED_FOR_TARGET +/* #undef LINKER_HASH_STYLE */ +#endif + + +/* Define to the name of the LTO plugin DSO that must be passed to the + linker's -plugin=LIB option. */ +#ifndef USED_FOR_TARGET +#define LTOPLUGINSONAME "liblto_plugin-0.dll" +#endif + + +/* Define to the sub-directory in which libtool stores uninstalled libraries. + */ +#ifndef USED_FOR_TARGET +#define LT_OBJDIR ".libs/" +#endif + + +/* Define if host mkdir takes a single argument. */ +#ifndef USED_FOR_TARGET +#define MKDIR_TAKES_ONE_ARG 1 +#endif + + +/* Define to hold the list of target names suitable for offloading. */ +#ifndef USED_FOR_TARGET +#define OFFLOAD_TARGETS "" +#endif + + +/* Define to the address where bug reports for this package should be sent. */ +#ifndef USED_FOR_TARGET +#define PACKAGE_BUGREPORT "" +#endif + + +/* Define to the full name of this package. */ +#ifndef USED_FOR_TARGET +#define PACKAGE_NAME "" +#endif + + +/* Define to the full name and version of this package. */ +#ifndef USED_FOR_TARGET +#define PACKAGE_STRING "" +#endif + + +/* Define to the one symbol short name of this package. */ +#ifndef USED_FOR_TARGET +#define PACKAGE_TARNAME "" +#endif + + +/* Define to the home page for this package. */ +#ifndef USED_FOR_TARGET +#define PACKAGE_URL "" +#endif + + +/* Define to the version of this package. */ +#ifndef USED_FOR_TARGET +#define PACKAGE_VERSION "" +#endif + + +/* Specify plugin linker */ +#ifndef USED_FOR_TARGET +#define PLUGIN_LD_SUFFIX "ld" +#endif + + +/* Define to PREFIX/include if cpp should also search that directory. */ +#ifndef USED_FOR_TARGET +#define PREFIX_INCLUDE_DIR "/home/autobuild/tools/win32/include" +#endif + + +/* The size of `int', as computed by sizeof. */ +#ifndef USED_FOR_TARGET +#define SIZEOF_INT 4 +#endif + + +/* The size of `long', as computed by sizeof. */ +#ifndef USED_FOR_TARGET +#define SIZEOF_LONG 4 +#endif + + +/* The size of `long long', as computed by sizeof. */ +#ifndef USED_FOR_TARGET +#define SIZEOF_LONG_LONG 8 +#endif + + +/* The size of `short', as computed by sizeof. */ +#ifndef USED_FOR_TARGET +#define SIZEOF_SHORT 2 +#endif + + +/* The size of `void *', as computed by sizeof. */ +#ifndef USED_FOR_TARGET +#define SIZEOF_VOID_P 4 +#endif + + +/* Define to 1 if you have the ANSI C header files. */ +#ifndef USED_FOR_TARGET +#define STDC_HEADERS 1 +#endif + + +/* Define if you can safely include both and . */ +#ifndef USED_FOR_TARGET +#define STRING_WITH_STRINGS 1 +#endif + + +/* Define if TFmode long double should be the default */ +#ifndef USED_FOR_TARGET +/* #undef TARGET_DEFAULT_LONG_DOUBLE_128 */ +#endif + + +/* Define if your target C library provides the `dl_iterate_phdr' function. */ +/* #undef TARGET_DL_ITERATE_PHDR */ + +/* GNU C Library major version number used on the target, or 0. */ +#ifndef USED_FOR_TARGET +#define TARGET_GLIBC_MAJOR 0 +#endif + + +/* GNU C Library minor version number used on the target, or 0. */ +#ifndef USED_FOR_TARGET +#define TARGET_GLIBC_MINOR 0 +#endif + + +/* Define if your target C library provides stack protector support */ +#ifndef USED_FOR_TARGET +/* #undef TARGET_LIBC_PROVIDES_SSP */ +#endif + + +/* Define to 1 if you can safely include both and . */ +#ifndef USED_FOR_TARGET +#define TIME_WITH_SYS_TIME 1 +#endif + + +/* Define to the flag used to mark TLS sections if the default (`T') doesn't + work. */ +#ifndef USED_FOR_TARGET +/* #undef TLS_SECTION_ASM_FLAG */ +#endif + + +/* Define if your assembler mis-optimizes .eh_frame data. */ +#ifndef USED_FOR_TARGET +/* #undef USE_AS_TRADITIONAL_FORMAT */ +#endif + + +/* Define if you want to generate code by default that assumes that the Cygwin + DLL exports wrappers to support libstdc++ function replacement. */ +#ifndef USED_FOR_TARGET +/* #undef USE_CYGWIN_LIBSTDCXX_WRAPPERS */ +#endif + + +/* Define to 1 if the 'long long' type is wider than 'long' but still + efficiently supported by the host hardware. */ +#ifndef USED_FOR_TARGET +/* #undef USE_LONG_LONG_FOR_WIDEST_FAST_INT */ +#endif + + +/* Define if we should use leading underscore on 64 bit mingw targets */ +#ifndef USED_FOR_TARGET +/* #undef USE_MINGW64_LEADING_UNDERSCORES */ +#endif + + +/* Enable extensions on AIX 3, Interix. */ +#ifndef _ALL_SOURCE +# define _ALL_SOURCE 1 +#endif +/* Enable GNU extensions on systems that have them. */ +#ifndef _GNU_SOURCE +# define _GNU_SOURCE 1 +#endif +/* Enable threading extensions on Solaris. */ +#ifndef _POSIX_PTHREAD_SEMANTICS +# define _POSIX_PTHREAD_SEMANTICS 1 +#endif +/* Enable extensions on HP NonStop. */ +#ifndef _TANDEM_SOURCE +# define _TANDEM_SOURCE 1 +#endif +/* Enable general extensions on Solaris. */ +#ifndef __EXTENSIONS__ +# define __EXTENSIONS__ 1 +#endif + + +/* Define to be the last component of the Windows registry key under which to + look for installation paths. The full key used will be + HKEY_LOCAL_MACHINE/SOFTWARE/Free Software Foundation/{WIN32_REGISTRY_KEY}. + The default is the GCC version number. */ +#ifndef USED_FOR_TARGET +/* #undef WIN32_REGISTRY_KEY */ +#endif + + +/* Define WORDS_BIGENDIAN to 1 if your processor stores words with the most + significant byte first (like Motorola and SPARC, unlike Intel). */ +#if defined AC_APPLE_UNIVERSAL_BUILD +# if defined __BIG_ENDIAN__ +# define WORDS_BIGENDIAN 1 +# endif +#else +# ifndef WORDS_BIGENDIAN +/* # undef WORDS_BIGENDIAN */ +# endif +#endif + +/* Number of bits in a file offset, on hosts where this is settable. */ +#ifndef USED_FOR_TARGET +/* #undef _FILE_OFFSET_BITS */ +#endif + + +/* Define for large files, on AIX-style hosts. */ +#ifndef USED_FOR_TARGET +/* #undef _LARGE_FILES */ +#endif + + +/* Define to 1 if on MINIX. */ +#ifndef USED_FOR_TARGET +/* #undef _MINIX */ +#endif + + +/* Define to 2 if the system does not provide POSIX.1 features except with + this defined. */ +#ifndef USED_FOR_TARGET +/* #undef _POSIX_1_SOURCE */ +#endif + + +/* Define to 1 if you need to in order for `stat' and other things to work. */ +#ifndef USED_FOR_TARGET +/* #undef _POSIX_SOURCE */ +#endif + + +/* Define for Solaris 2.5.1 so the uint32_t typedef from , + , or is not used. If the typedef were allowed, the + #define below would cause a syntax error. */ +#ifndef USED_FOR_TARGET +/* #undef _UINT32_T */ +#endif + + +/* Define for Solaris 2.5.1 so the uint64_t typedef from , + , or is not used. If the typedef were allowed, the + #define below would cause a syntax error. */ +#ifndef USED_FOR_TARGET +/* #undef _UINT64_T */ +#endif + + +/* Define for Solaris 2.5.1 so the uint8_t typedef from , + , or is not used. If the typedef were allowed, the + #define below would cause a syntax error. */ +#ifndef USED_FOR_TARGET +/* #undef _UINT8_T */ +#endif + + +/* Define to `char *' if does not define. */ +#ifndef USED_FOR_TARGET +#define caddr_t char * +#endif + + +/* Define to `__inline__' or `__inline' if that's what the C compiler + calls it, or to nothing if 'inline' is not supported under any name. */ +#ifndef __cplusplus +/* #undef inline */ +#endif + +/* Define to the type of a signed integer type of width exactly 16 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef int16_t */ +#endif + + +/* Define to the type of a signed integer type of width exactly 32 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef int32_t */ +#endif + + +/* Define to the type of a signed integer type of width exactly 64 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef int64_t */ +#endif + + +/* Define to the type of a signed integer type of width exactly 8 bits if such + a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef int8_t */ +#endif + + +/* Define to the widest signed integer type if and do + not define. */ +#ifndef USED_FOR_TARGET +/* #undef intmax_t */ +#endif + + +/* Define to the type of a signed integer type wide enough to hold a pointer, + if such a type exists, and if the system does not define it. */ +#ifndef USED_FOR_TARGET +/* #undef intptr_t */ +#endif + + +/* Define to `int' if does not define. */ +#ifndef USED_FOR_TARGET +/* #undef pid_t */ +#endif + + +/* Define to `long' if doesn't define. */ +#ifndef USED_FOR_TARGET +#define rlim_t long +#endif + + +/* Define to `int' if does not define. */ +#ifndef USED_FOR_TARGET +/* #undef ssize_t */ +#endif + + +/* Define to the type of an unsigned integer type of width exactly 16 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef uint16_t */ +#endif + + +/* Define to the type of an unsigned integer type of width exactly 32 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef uint32_t */ +#endif + + +/* Define to the type of an unsigned integer type of width exactly 64 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef uint64_t */ +#endif + + +/* Define to the type of an unsigned integer type of width exactly 8 bits if + such a type exists and the standard includes do not define it. */ +#ifndef USED_FOR_TARGET +/* #undef uint8_t */ +#endif + + +/* Define to the widest unsigned integer type if and + do not define. */ +#ifndef USED_FOR_TARGET +/* #undef uintmax_t */ +#endif + + +/* Define to the type of an unsigned integer type wide enough to hold a + pointer, if such a type exists, and if the system does not define it. */ +#ifndef USED_FOR_TARGET +/* #undef uintptr_t */ +#endif + + +/* Define as `fork' if `vfork' does not work. */ +#ifndef USED_FOR_TARGET +#define vfork fork +#endif + diff --git a/contrib/toolchain/gcc/5x/gcc/config/dbxcoff.h b/contrib/toolchain/gcc/5x/gcc/config/dbxcoff.h new file mode 100644 index 0000000000..5074be03b0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/dbxcoff.h @@ -0,0 +1,62 @@ +/* Definitions needed when using stabs embedded in COFF sections. + Copyright (C) 1996-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +/* This file may be included by any COFF target which wishes to + support -gstabs generating stabs in sections, as produced by gas + and understood by gdb. */ + +/* Output DBX (stabs) debugging information if doing -gstabs. */ + +#define DBX_DEBUGGING_INFO 1 + +/* Generate SDB debugging information by default. */ + +#ifndef PREFERRED_DEBUGGING_TYPE +#define PREFERRED_DEBUGGING_TYPE SDB_DEBUG +#endif + +/* Be function-relative for block and source line stab directives. */ + +#define DBX_BLOCKS_FUNCTION_RELATIVE 1 + +/* but, to make this work, functions must appear prior to line info. */ + +#define DBX_FUNCTION_FIRST + +/* Generate a blank trailing N_SO to mark the end of the .o file, since + we can't depend upon the linker to mark .o file boundaries with + embedded stabs. */ + +#define DBX_OUTPUT_NULL_N_SO_AT_MAIN_SOURCE_FILE_END + +/* Like block addresses, stabs line numbers are relative to the + current function. */ + +#define DBX_LINES_FUNCTION_RELATIVE 1 + +/* When generating stabs debugging, use N_BINCL entries. */ + +#undef DBX_USE_BINCL +#define DBX_USE_BINCL + +/* There is no limit to the length of stabs strings. */ + +#ifndef DBX_CONTIN_LENGTH +#define DBX_CONTIN_LENGTH 0 +#endif diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/bsd.h b/contrib/toolchain/gcc/5x/gcc/config/i386/bsd.h new file mode 100644 index 0000000000..8733f6ab11 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/bsd.h @@ -0,0 +1,99 @@ +/* Definitions for BSD assembler syntax for Intel 386 + (actually AT&T syntax for insns and operands, + adapted to BSD conventions for symbol names and debugging.) + Copyright (C) 1988-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +/* Use the Sequent Symmetry assembler syntax. */ + +/* Define the syntax of pseudo-ops, labels and comments. */ + +/* Prefix for internally generated assembler labels. If we aren't using + underscores, we are using prefix `.'s to identify labels that should + be ignored, as in `i386/gas.h' --karl@cs.umb.edu */ + +#define LPREFIX "L" + +/* Assembler pseudos to introduce constants of various size. */ + +#define ASM_BYTE "\t.byte\t" +#define ASM_SHORT "\t.word\t" +#define ASM_LONG "\t.long\t" +#define ASM_QUAD "\t.quad\t" /* Should not be used for 32bit compilation. */ + +/* This was suggested, but it shouldn't be right for DBX output. -- RMS + #define ASM_OUTPUT_SOURCE_FILENAME(FILE, NAME) */ + + +/* Define the syntax of labels and symbol definitions/declarations. */ + +/* This is how to output an assembler line + that says to advance the location counter by SIZE bytes. */ + +#define ASM_OUTPUT_SKIP(FILE,SIZE) \ + fprintf (FILE, "\t.space "HOST_WIDE_INT_PRINT_UNSIGNED"\n", (SIZE)) + +/* Define the syntax of labels and symbol definitions/declarations. */ + +/* This says how to output an assembler line + to define a global common symbol. */ + +#define ASM_OUTPUT_COMMON(FILE, NAME, SIZE, ROUNDED) \ +( fputs (".comm ", (FILE)), \ + assemble_name ((FILE), (NAME)), \ + fprintf ((FILE), ",%u\n", (int)(ROUNDED))) + +/* This says how to output an assembler line + to define a local common symbol. */ + +#define ASM_OUTPUT_LOCAL(FILE, NAME, SIZE, ROUNDED) \ +( fputs (".lcomm ", (FILE)), \ + assemble_name ((FILE), (NAME)), \ + fprintf ((FILE), ",%u\n", (int)(ROUNDED))) + +#ifdef HAVE_GAS_LCOMM_WITH_ALIGNMENT +#define ASM_OUTPUT_ALIGNED_LOCAL(FILE, NAME, SIZE, ALIGNMENT) \ +( fputs (".lcomm ", (FILE)), \ + assemble_name ((FILE), (NAME)), \ + fprintf ((FILE), ",%u,%u\n", (int)(SIZE), (int)(ALIGNMENT) / BITS_PER_UNIT)) +#endif + +/* This is how to output an assembler line + that says to advance the location counter + to a multiple of 2**LOG bytes. */ + +#define ASM_OUTPUT_ALIGN(FILE,LOG) \ + if ((LOG)!=0) fprintf ((FILE), "\t.align %d\n", (LOG)) + +/* This is how to store into the string BUF + the symbol_ref name of an internal numbered label where + PREFIX is the class of label and NUM is the number within the class. + This is suitable for output with `assemble_name'. */ + +#define ASM_GENERATE_INTERNAL_LABEL(BUF,PREFIX,NUMBER) \ + sprintf ((BUF), "*%s%ld", (PREFIX), (long)(NUMBER)) + +/* The prefix to add to user-visible assembler symbols. */ + +#define USER_LABEL_PREFIX "_" + +/* Sequent has some changes in the format of DBX symbols. */ +#define DBX_NO_XREFS 1 + +/* Don't split DBX symbols into continuations. */ +#define DBX_CONTIN_LENGTH 0 diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/cygming.h b/contrib/toolchain/gcc/5x/gcc/config/i386/cygming.h new file mode 100644 index 0000000000..fda59fb3c0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/cygming.h @@ -0,0 +1,481 @@ +/* Operating system specific defines to be used when targeting GCC for + hosting on Windows32, using a Unix style C library and tools. + Copyright (C) 1995-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +#define DBX_DEBUGGING_INFO 1 +#define SDB_DEBUGGING_INFO 1 +#if TARGET_64BIT_DEFAULT || defined (HAVE_GAS_PE_SECREL32_RELOC) +#define DWARF2_DEBUGGING_INFO 1 +#endif + +#undef PREFERRED_DEBUGGING_TYPE +#if (DWARF2_DEBUGGING_INFO) +#define PREFERRED_DEBUGGING_TYPE DWARF2_DEBUG +#else +#define PREFERRED_DEBUGGING_TYPE DBX_DEBUG +#endif + +#undef TARGET_SEH +#define TARGET_SEH (TARGET_64BIT_MS_ABI && flag_unwind_tables) + +/* Win64 with SEH cannot represent DRAP stack frames. Disable its use. + Force the use of different mechanisms to allocate aligned local data. */ +#undef MAX_STACK_ALIGNMENT +#define MAX_STACK_ALIGNMENT (TARGET_SEH ? 128 : MAX_OFILE_ALIGNMENT) + +/* Support hooks for SEH. */ +#undef TARGET_ASM_UNWIND_EMIT +#define TARGET_ASM_UNWIND_EMIT i386_pe_seh_unwind_emit +#undef TARGET_ASM_UNWIND_EMIT_BEFORE_INSN +#define TARGET_ASM_UNWIND_EMIT_BEFORE_INSN false +#undef TARGET_ASM_FUNCTION_END_PROLOGUE +#define TARGET_ASM_FUNCTION_END_PROLOGUE i386_pe_seh_end_prologue +#undef TARGET_ASM_EMIT_EXCEPT_PERSONALITY +#define TARGET_ASM_EMIT_EXCEPT_PERSONALITY i386_pe_seh_emit_except_personality +#undef TARGET_ASM_INIT_SECTIONS +#define TARGET_ASM_INIT_SECTIONS i386_pe_seh_init_sections +#define SUBTARGET_ASM_UNWIND_INIT i386_pe_seh_init + +#undef DEFAULT_ABI +#define DEFAULT_ABI (TARGET_64BIT ? MS_ABI : SYSV_ABI) + +#undef TARGET_PECOFF +#define TARGET_PECOFF 1 + +#if ! defined (USE_MINGW64_LEADING_UNDERSCORES) +#undef USER_LABEL_PREFIX +#define USER_LABEL_PREFIX (TARGET_64BIT ? "" : "_") + +#undef LOCAL_LABEL_PREFIX +#define LOCAL_LABEL_PREFIX (TARGET_64BIT ? "." : "") + +#undef ASM_GENERATE_INTERNAL_LABEL +#define ASM_GENERATE_INTERNAL_LABEL(BUF,PREFIX,NUMBER) \ + sprintf ((BUF), "*%s%s%ld", LOCAL_LABEL_PREFIX, \ + (PREFIX), (long)(NUMBER)) + +#undef LPREFIX +#define LPREFIX (TARGET_64BIT ? ".L" : "L") + +#endif + +#undef DBX_REGISTER_NUMBER +#define DBX_REGISTER_NUMBER(n) \ + (TARGET_64BIT ? dbx64_register_map[n] \ + : (write_symbols == DWARF2_DEBUG \ + ? svr4_dbx_register_map[n] : dbx_register_map[n])) + +/* Map gcc register number to DWARF 2 CFA column number. For 32 bit + target, always use the svr4_dbx_register_map for DWARF .eh_frame + even if we don't use DWARF .debug_frame. */ +#undef DWARF_FRAME_REGNUM +#define DWARF_FRAME_REGNUM(n) \ + (TARGET_64BIT ? dbx64_register_map[(n)] \ + : svr4_dbx_register_map[(n)]) + +/* The 64-bit MS_ABI changes the set of call-used registers. */ +#undef DWARF_FRAME_REGISTERS +#define DWARF_FRAME_REGISTERS (TARGET_64BIT ? 33 : 17) + +#ifdef HAVE_GAS_PE_SECREL32_RELOC +/* Use section relative relocations for debugging offsets. Unlike + other targets that fake this by putting the section VMA at 0, PE + won't allow it. */ +#define ASM_OUTPUT_DWARF_OFFSET(FILE, SIZE, LABEL, SECTION) \ + do { \ + switch (SIZE) \ + { \ + case 4: \ + fputs ("\t.secrel32\t", FILE); \ + assemble_name (FILE, LABEL); \ + break; \ + case 8: \ + /* This is a hack. There is no 64-bit section relative \ + relocation. However, the COFF format also does not \ + support 64-bit file offsets; 64-bit applications are \ + limited to 32-bits of code+data in any one module. \ + Fake the 64-bit offset by zero-extending it. */ \ + fputs ("\t.secrel32\t", FILE); \ + assemble_name (FILE, LABEL); \ + fputs ("\n\t.long\t0", FILE); \ + break; \ + default: \ + gcc_unreachable (); \ + } \ + } while (0) +#endif + +#define TARGET_EXECUTABLE_SUFFIX ".exe" + +#define TARGET_OS_CPP_BUILTINS() \ + do \ + { \ + if (!TARGET_64BIT) \ + builtin_define ("_X86_=1"); \ + if (TARGET_SEH) \ + builtin_define ("__SEH__"); \ + builtin_assert ("system=winnt"); \ + builtin_define ("__stdcall=__attribute__((__stdcall__))"); \ + builtin_define ("__fastcall=__attribute__((__fastcall__))"); \ + builtin_define ("__thiscall=__attribute__((__thiscall__))"); \ + builtin_define ("__cdecl=__attribute__((__cdecl__))"); \ + if (!flag_iso) \ + { \ + builtin_define ("_stdcall=__attribute__((__stdcall__))"); \ + builtin_define ("_fastcall=__attribute__((__fastcall__))"); \ + builtin_define ("_thiscall=__attribute__((__thiscall__))"); \ + builtin_define ("_cdecl=__attribute__((__cdecl__))"); \ + } \ + /* Even though linkonce works with static libs, this is needed \ + to compare typeinfo symbols across dll boundaries. */ \ + builtin_define ("__GXX_MERGED_TYPEINFO_NAMES=0"); \ + builtin_define ("__GXX_TYPEINFO_EQUALITY_INLINE=0"); \ + EXTRA_OS_CPP_BUILTINS (); \ + } \ + while (0) + +/* Get tree.c to declare a target-specific specialization of + merge_decl_attributes. */ +#define TARGET_DLLIMPORT_DECL_ATTRIBUTES 1 + +/* This macro defines names of additional specifications to put in the specs + that can be used in various specifications like CC1_SPEC. Its definition + is an initializer with a subgrouping for each command option. + + Each subgrouping contains a string constant, that defines the + specification name, and a string constant that used by the GCC driver + program. + + Do not define this macro if it does not need to do anything. */ + +#undef SUBTARGET_EXTRA_SPECS +#define SUBTARGET_EXTRA_SPECS \ + { "mingw_include_path", DEFAULT_TARGET_MACHINE } + +#undef MATH_LIBRARY +#define MATH_LIBRARY "" + +#undef TARGET_LIBC_HAS_FUNCTION +#define TARGET_LIBC_HAS_FUNCTION no_c99_libc_has_function + +#define SIZE_TYPE (TARGET_64BIT ? "long long unsigned int" : "unsigned int") +#define PTRDIFF_TYPE (TARGET_64BIT ? "long long int" : "int") + +#define WCHAR_TYPE_SIZE 16 +#define WCHAR_TYPE "short unsigned int" + +/* Windows64 continues to use a 32-bit long type. */ +#undef LONG_TYPE_SIZE +#define LONG_TYPE_SIZE 32 + +#define drectve_section() \ + (fprintf (asm_out_file, "\t.section .drectve\n"), \ + in_section = NULL) + +/* Older versions of gas don't handle 'r' as data. + Explicitly set data flag with 'd'. */ +#define READONLY_DATA_SECTION_ASM_OP "\t.section .rdata,\"dr\"" + +/* Don't allow flag_pic to propagate since gas may produce invalid code + otherwise. */ + +#undef SUBTARGET_OVERRIDE_OPTIONS +#define SUBTARGET_OVERRIDE_OPTIONS \ +do { \ + if (TARGET_64BIT && flag_pic != 1) \ + { \ + if (flag_pic > 1) \ + warning (0, \ + "-fPIC ignored for target (all code is position independent)"\ + ); \ + flag_pic = 1; \ + } \ + else if (!TARGET_64BIT && flag_pic) \ + { \ + warning (0, "-f%s ignored for target (all code is position independent)",\ + (flag_pic > 1) ? "PIC" : "pic"); \ + flag_pic = 0; \ + } \ +} while (0) + +/* Define this macro if references to a symbol must be treated + differently depending on something about the variable or + function named by the symbol (such as what section it is in). + + On i386 running Windows NT, modify the assembler name with a suffix + consisting of an atsign (@) followed by string of digits that represents + the number of bytes of arguments passed to the function, if it has the + attribute STDCALL. + + In addition, we must mark dll symbols specially. Definitions of + dllexport'd objects install some info in the .drectve section. + References to dllimport'd objects are fetched indirectly via + _imp__. If both are declared, dllexport overrides. This is also + needed to implement one-only vtables: they go into their own + section and we need to set DECL_SECTION_NAME so we do that here. + Note that we can be called twice on the same decl. */ + +#define SUBTARGET_ENCODE_SECTION_INFO i386_pe_encode_section_info + +/* Local and global relocs can be placed always into readonly memory + for PE-COFF targets. */ +#undef TARGET_ASM_RELOC_RW_MASK +#define TARGET_ASM_RELOC_RW_MASK i386_pe_reloc_rw_mask + +/* Output a common block. */ +#undef ASM_OUTPUT_ALIGNED_DECL_COMMON +#define ASM_OUTPUT_ALIGNED_DECL_COMMON \ + i386_pe_asm_output_aligned_decl_common + +/* Output the label for an initialized variable. */ +#undef ASM_DECLARE_OBJECT_NAME +#define ASM_DECLARE_OBJECT_NAME(STREAM, NAME, DECL) \ +do { \ + i386_pe_maybe_record_exported_symbol (DECL, NAME, 1); \ + ASM_OUTPUT_LABEL ((STREAM), (NAME)); \ +} while (0) + +/* Output a reference to a label. Fastcall function symbols + keep their '@' prefix, while other symbols are prefixed + with user_label_prefix. */ +#undef ASM_OUTPUT_LABELREF +#define ASM_OUTPUT_LABELREF(STREAM, NAME) \ +do { \ + if ((NAME)[0] != FASTCALL_PREFIX) \ + fputs (user_label_prefix, (STREAM)); \ + fputs ((NAME), (STREAM)); \ +} while (0) + +/* This does much the same in memory rather than to a stream. */ +#undef TARGET_MANGLE_ASSEMBLER_NAME +#define TARGET_MANGLE_ASSEMBLER_NAME i386_pe_mangle_assembler_name + + +/* Emit code to check the stack when allocating more than 4000 + bytes in one go. */ +#define CHECK_STACK_LIMIT 4000 + +#undef STACK_BOUNDARY +#define STACK_BOUNDARY (TARGET_64BIT && ix86_abi == MS_ABI ? 128 : BITS_PER_WORD) + +/* By default, target has a 80387, uses IEEE compatible arithmetic, + returns float values in the 387 and needs stack probes. + We also align doubles to 64-bits for MSVC default compatibility. */ + +#undef TARGET_SUBTARGET_DEFAULT +#define TARGET_SUBTARGET_DEFAULT \ + (MASK_80387 | MASK_IEEE_FP | MASK_FLOAT_RETURNS \ + | MASK_STACK_PROBE | MASK_ALIGN_DOUBLE) + +#undef TARGET_SUBTARGET64_DEFAULT +#define TARGET_SUBTARGET64_DEFAULT \ + MASK_128BIT_LONG_DOUBLE + +/* This is how to output an assembler line + that says to advance the location counter + to a multiple of 2**LOG bytes. */ + +#undef ASM_OUTPUT_ALIGN +#define ASM_OUTPUT_ALIGN(FILE,LOG) \ + if ((LOG)!=0) fprintf ((FILE), "\t.align %d\n", 1<<(LOG)) + +/* Windows uses explicit import from shared libraries. */ +#define MULTIPLE_SYMBOL_SPACES 1 + +#define TARGET_ASM_UNIQUE_SECTION i386_pe_unique_section +#define TARGET_ASM_FUNCTION_RODATA_SECTION default_no_function_rodata_section + +#define SUPPORTS_ONE_ONLY 1 + +/* Switch into a generic section. */ +#define TARGET_ASM_NAMED_SECTION i386_pe_asm_named_section + +/* Select attributes for named sections. */ +#define TARGET_SECTION_TYPE_FLAGS i386_pe_section_type_flags + +/* Write the extra assembler code needed to declare a function + properly. If we are generating SDB debugging information, this + will happen automatically, so we only need to handle other cases. */ +#undef ASM_DECLARE_FUNCTION_NAME +#define ASM_DECLARE_FUNCTION_NAME(FILE, NAME, DECL) \ + i386_pe_start_function (FILE, NAME, DECL) + +#undef ASM_DECLARE_FUNCTION_SIZE +#define ASM_DECLARE_FUNCTION_SIZE(FILE,NAME,DECL) \ + i386_pe_end_function (FILE, NAME, DECL) + +/* Add an external function to the list of functions to be declared at + the end of the file. */ +#define ASM_OUTPUT_EXTERNAL(FILE, DECL, NAME) \ + do \ + { \ + if (TREE_CODE (DECL) == FUNCTION_DECL) \ + i386_pe_record_external_function ((DECL), (NAME)); \ + } \ + while (0) + +/* Declare the type properly for any external libcall. */ +#define ASM_OUTPUT_EXTERNAL_LIBCALL(FILE, FUN) \ + i386_pe_declare_function_type (FILE, XSTR (FUN, 0), 1) + +/* This says out to put a global symbol in the BSS section. */ +#undef ASM_OUTPUT_ALIGNED_BSS +#define ASM_OUTPUT_ALIGNED_BSS(FILE, DECL, NAME, SIZE, ALIGN) \ + asm_output_aligned_bss ((FILE), (DECL), (NAME), (SIZE), (ALIGN)) + +/* Output function declarations at the end of the file. */ +#undef TARGET_ASM_FILE_END +#define TARGET_ASM_FILE_END i386_pe_file_end + +#undef ASM_COMMENT_START +#define ASM_COMMENT_START " #" + +#ifndef DWARF2_UNWIND_INFO +/* If configured with --disable-sjlj-exceptions, use DWARF2, else + default to SJLJ. */ +#if (defined (CONFIG_SJLJ_EXCEPTIONS) && !CONFIG_SJLJ_EXCEPTIONS) +/* The logic of this #if must be kept synchronised with the logic + for selecting the tmake_eh_file fragment in config.gcc. */ +#define DWARF2_UNWIND_INFO 1 +/* If multilib is selected break build as sjlj is required. */ +#if defined (TARGET_BI_ARCH) +#error For 64-bit windows and 32-bit based multilib version of gcc just SJLJ exceptions are supported. +#endif +#else +#define DWARF2_UNWIND_INFO 0 +#endif +#endif + +/* Don't assume anything about the header files. */ +#define NO_IMPLICIT_EXTERN_C + +#undef PROFILE_HOOK +#define PROFILE_HOOK(LABEL) \ + if (MAIN_NAME_P (DECL_NAME (current_function_decl))) \ + { \ + emit_call_insn (gen_rtx_CALL (VOIDmode, \ + gen_rtx_MEM (FUNCTION_MODE, \ + gen_rtx_SYMBOL_REF (Pmode, "_monstartup")), \ + const0_rtx)); \ + } + +/* Java Native Interface (JNI) methods on Win32 are invoked using the + stdcall calling convention. */ +#undef MODIFY_JNI_METHOD_CALL +#define MODIFY_JNI_METHOD_CALL(MDECL) \ + build_type_attribute_variant ((MDECL), \ + build_tree_list (get_identifier ("stdcall"), \ + NULL)) + +/* For Win32 ABI compatibility */ +#undef DEFAULT_PCC_STRUCT_RETURN +#define DEFAULT_PCC_STRUCT_RETURN 0 + +/* MSVC returns aggregate types of up to 8 bytes via registers. + See i386.c:ix86_return_in_memory. */ +#undef MS_AGGREGATE_RETURN +#define MS_AGGREGATE_RETURN 1 + +/* Biggest alignment supported by the object file format of this + machine. Use this macro to limit the alignment which can be + specified using the `__attribute__ ((aligned (N)))' construct. If + not defined, the default value is `BIGGEST_ALIGNMENT'. */ +/* IMAGE_SCN_ALIGN_8192BYTES is the largest section alignment flag + specified in the PECOFF60 spec. Native MS compiler also limits + user-specified alignment to 8192 bytes. */ +#undef MAX_OFILE_ALIGNMENT +#define MAX_OFILE_ALIGNMENT (8192 * 8) + +/* BIGGEST_FIELD_ALIGNMENT macro is used directly by libobjc, There, we + align internal doubles in structures on dword boundaries. Otherwise, + support vector modes using ADJUST_FIELD_ALIGN, defined in i386.h. */ +#ifdef IN_TARGET_LIBS +#undef BIGGEST_FIELD_ALIGNMENT +#define BIGGEST_FIELD_ALIGNMENT 64 +#endif + +/* A bit-field declared as `int' forces `int' alignment for the struct. */ +#undef PCC_BITFIELD_TYPE_MATTERS +#define PCC_BITFIELD_TYPE_MATTERS 1 +#define GROUP_BITFIELDS_BY_ALIGN TYPE_NATIVE(rec) + +/* Enable alias attribute support. */ +#ifndef SET_ASM_OP +#define SET_ASM_OP "\t.set\t" +#endif + +/* This implements the `alias' attribute, keeping any stdcall or + fastcall decoration. */ +#undef ASM_OUTPUT_DEF_FROM_DECLS +#define ASM_OUTPUT_DEF_FROM_DECLS(STREAM, DECL, TARGET) \ + do \ + { \ + const char *alias \ + = IDENTIFIER_POINTER (DECL_ASSEMBLER_NAME (DECL)); \ + i386_pe_maybe_record_exported_symbol (DECL, alias, 0); \ + if (TREE_CODE (DECL) == FUNCTION_DECL) \ + i386_pe_declare_function_type (STREAM, alias, \ + TREE_PUBLIC (DECL)); \ + ASM_OUTPUT_DEF (STREAM, alias, IDENTIFIER_POINTER (TARGET)); \ + } while (0) + +/* GNU as supports weak symbols on PECOFF. */ +#ifdef HAVE_GAS_WEAK +#define ASM_WEAKEN_LABEL(FILE, NAME) \ + do \ + { \ + fputs ("\t.weak\t", (FILE)); \ + assemble_name ((FILE), (NAME)); \ + fputc ('\n', (FILE)); \ + } \ + while (0) +#endif /* HAVE_GAS_WEAK */ + +/* FIXME: SUPPORTS_WEAK && TARGET_HAVE_NAMED_SECTIONS is true, + but for .jcr section to work we also need crtbegin and crtend + objects. */ +#define TARGET_USE_JCR_SECTION 1 + +/* Decide whether it is safe to use a local alias for a virtual function + when constructing thunks. */ +#undef TARGET_USE_LOCAL_THUNK_ALIAS_P +#define TARGET_USE_LOCAL_THUNK_ALIAS_P(DECL) (!DECL_ONE_ONLY (DECL)) + +#define SUBTARGET_ATTRIBUTE_TABLE \ + { "selectany", 0, 0, true, false, false, ix86_handle_selectany_attribute, \ + false } + /* { name, min_len, max_len, decl_req, type_req, fn_type_req, handler, + affects_type_identity } */ + +/* mcount() does not need a counter variable. */ +#undef NO_PROFILE_COUNTERS +#define NO_PROFILE_COUNTERS 1 + +#define TARGET_VALID_DLLIMPORT_ATTRIBUTE_P i386_pe_valid_dllimport_attribute_p +#define TARGET_CXX_ADJUST_CLASS_AT_DEFINITION i386_pe_adjust_class_at_definition +#define SUBTARGET_MANGLE_DECL_ASSEMBLER_NAME i386_pe_mangle_decl_assembler_name + +#undef TARGET_ASM_ASSEMBLE_VISIBILITY +#define TARGET_ASM_ASSEMBLE_VISIBILITY i386_pe_assemble_visibility + +#undef SUB_TARGET_RECORD_STUB +#define SUB_TARGET_RECORD_STUB i386_pe_record_stub + +/* Static stack checking is supported by means of probes. */ +#define STACK_CHECK_STATIC_BUILTIN 1 diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/gas.h b/contrib/toolchain/gcc/5x/gcc/config/i386/gas.h new file mode 100644 index 0000000000..086ce5344f --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/gas.h @@ -0,0 +1,124 @@ +/* Definitions for Intel 386 using GAS. + Copyright (C) 1988-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +/* Note that i386/seq-gas.h is a GAS configuration that does not use this + file. */ + +/* Use the bsd assembler syntax. */ +/* we need to do this because gas is really a bsd style assembler, + * and so doesn't work well this these att-isms: + * + * ASM_OUTPUT_SKIP is .set .,.+N, which isn't implemented in gas + * ASM_OUTPUT_LOCAL is done with .set .,.+N, but that can't be + * used to define bss static space + * + * Next is the question of whether to uses underscores. RMS didn't + * like this idea at first, but since it is now obvious that we + * need this separate tm file for use with gas, at least to get + * dbx debugging info, I think we should also switch to underscores. + * We can keep i386v for real att style output, and the few + * people who want both form will have to compile twice. + */ + +/* these come from i386/bsd.h, but are specific to sequent */ +#undef DBX_NO_XREFS +#undef DBX_CONTIN_LENGTH + +/* Ask for COFF symbols. */ + +#define SDB_DEBUGGING_INFO 1 + +/* Output #ident as a .ident. */ + +#undef TARGET_ASM_OUTPUT_IDENT +#define TARGET_ASM_OUTPUT_IDENT default_asm_output_ident_directive + +/* In the past there was confusion as to what the argument to .align was + in GAS. For the last several years the rule has been this: for a.out + file formats that argument is LOG, and for all other file formats the + argument is 1<. */ + +#ifndef I386_OPTS_H +#define I386_OPTS_H + +/* Algorithm to expand string function with. */ +enum stringop_alg +{ +#undef DEF_ENUM +#define DEF_ENUM + +#undef DEF_ALG +#define DEF_ALG(alg, name) alg, + +#include "stringop.def" +last_alg + +#undef DEF_ENUM +#undef DEF_ALG +}; + +/* Available call abi. */ +enum calling_abi +{ + SYSV_ABI = 0, + MS_ABI = 1 +}; + +enum fpmath_unit +{ + FPMATH_387 = 1, + FPMATH_SSE = 2 +}; + +enum tls_dialect +{ + TLS_DIALECT_GNU, + TLS_DIALECT_GNU2, + TLS_DIALECT_SUN +}; + +enum cmodel { + CM_32, /* The traditional 32-bit ABI. */ + CM_SMALL, /* Assumes all code and data fits in the low 31 bits. */ + CM_KERNEL, /* Assumes all code and data fits in the high 31 bits. */ + CM_MEDIUM, /* Assumes code fits in the low 31 bits; data unlimited. */ + CM_LARGE, /* No assumptions. */ + CM_SMALL_PIC, /* Assumes code+data+got/plt fits in a 31 bit region. */ + CM_MEDIUM_PIC,/* Assumes code+got/plt fits in a 31 bit region. */ + CM_LARGE_PIC /* No assumptions. */ +}; + +enum pmode { + PMODE_SI, /* Pmode == SImode. */ + PMODE_DI /* Pmode == DImode. */ +}; + +enum ix86_align_data { + ix86_align_data_type_compat, + ix86_align_data_type_abi, + ix86_align_data_type_cacheline +}; + +enum asm_dialect { + ASM_ATT, + ASM_INTEL +}; + +enum ix86_veclibabi { + ix86_veclibabi_type_none, + ix86_veclibabi_type_svml, + ix86_veclibabi_type_acml +}; + +enum stack_protector_guard { + SSP_TLS, /* per-thread canary in TLS block */ + SSP_GLOBAL /* global canary */ +}; + +#endif diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/i386.h b/contrib/toolchain/gcc/5x/gcc/config/i386/i386.h new file mode 100644 index 0000000000..884cda3377 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/i386.h @@ -0,0 +1,2580 @@ +/* Definitions of target machine for GCC for IA-32. + Copyright (C) 1988-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* The purpose of this file is to define the characteristics of the i386, + independent of assembler syntax or operating system. + + Three other files build on this one to describe a specific assembler syntax: + bsd386.h, att386.h, and sun386.h. + + The actual tm.h file for a particular system should include + this file, and then the file for the appropriate assembler syntax. + + Many macros that specify assembler syntax are omitted entirely from + this file because they really belong in the files for particular + assemblers. These include RP, IP, LPREFIX, PUT_OP_SIZE, USE_STAR, + ADDR_BEG, ADDR_END, PRINT_IREG, PRINT_SCALE, PRINT_B_I_S, and many + that start with ASM_ or end in ASM_OP. */ + +/* Redefines for option macros. */ + +#define TARGET_64BIT TARGET_ISA_64BIT +#define TARGET_64BIT_P(x) TARGET_ISA_64BIT_P(x) +#define TARGET_MMX TARGET_ISA_MMX +#define TARGET_MMX_P(x) TARGET_ISA_MMX_P(x) +#define TARGET_3DNOW TARGET_ISA_3DNOW +#define TARGET_3DNOW_P(x) TARGET_ISA_3DNOW_P(x) +#define TARGET_3DNOW_A TARGET_ISA_3DNOW_A +#define TARGET_3DNOW_A_P(x) TARGET_ISA_3DNOW_A_P(x) +#define TARGET_SSE TARGET_ISA_SSE +#define TARGET_SSE_P(x) TARGET_ISA_SSE_P(x) +#define TARGET_SSE2 TARGET_ISA_SSE2 +#define TARGET_SSE2_P(x) TARGET_ISA_SSE2_P(x) +#define TARGET_SSE3 TARGET_ISA_SSE3 +#define TARGET_SSE3_P(x) TARGET_ISA_SSE3_P(x) +#define TARGET_SSSE3 TARGET_ISA_SSSE3 +#define TARGET_SSSE3_P(x) TARGET_ISA_SSSE3_P(x) +#define TARGET_SSE4_1 TARGET_ISA_SSE4_1 +#define TARGET_SSE4_1_P(x) TARGET_ISA_SSE4_1_P(x) +#define TARGET_SSE4_2 TARGET_ISA_SSE4_2 +#define TARGET_SSE4_2_P(x) TARGET_ISA_SSE4_2_P(x) +#define TARGET_AVX TARGET_ISA_AVX +#define TARGET_AVX_P(x) TARGET_ISA_AVX_P(x) +#define TARGET_AVX2 TARGET_ISA_AVX2 +#define TARGET_AVX2_P(x) TARGET_ISA_AVX2_P(x) +#define TARGET_AVX512F TARGET_ISA_AVX512F +#define TARGET_AVX512F_P(x) TARGET_ISA_AVX512F_P(x) +#define TARGET_AVX512PF TARGET_ISA_AVX512PF +#define TARGET_AVX512PF_P(x) TARGET_ISA_AVX512PF_P(x) +#define TARGET_AVX512ER TARGET_ISA_AVX512ER +#define TARGET_AVX512ER_P(x) TARGET_ISA_AVX512ER_P(x) +#define TARGET_AVX512CD TARGET_ISA_AVX512CD +#define TARGET_AVX512CD_P(x) TARGET_ISA_AVX512CD_P(x) +#define TARGET_AVX512DQ TARGET_ISA_AVX512DQ +#define TARGET_AVX512DQ_P(x) TARGET_ISA_AVX512DQ_P(x) +#define TARGET_AVX512BW TARGET_ISA_AVX512BW +#define TARGET_AVX512BW_P(x) TARGET_ISA_AVX512BW_P(x) +#define TARGET_AVX512VL TARGET_ISA_AVX512VL +#define TARGET_AVX512VL_P(x) TARGET_ISA_AVX512VL_P(x) +#define TARGET_AVX512VBMI TARGET_ISA_AVX512VBMI +#define TARGET_AVX512VBMI_P(x) TARGET_ISA_AVX512VBMI_P(x) +#define TARGET_AVX512IFMA TARGET_ISA_AVX512IFMA +#define TARGET_AVX512IFMA_P(x) TARGET_ISA_AVX512IFMA_P(x) +#define TARGET_FMA TARGET_ISA_FMA +#define TARGET_FMA_P(x) TARGET_ISA_FMA_P(x) +#define TARGET_SSE4A TARGET_ISA_SSE4A +#define TARGET_SSE4A_P(x) TARGET_ISA_SSE4A_P(x) +#define TARGET_FMA4 TARGET_ISA_FMA4 +#define TARGET_FMA4_P(x) TARGET_ISA_FMA4_P(x) +#define TARGET_XOP TARGET_ISA_XOP +#define TARGET_XOP_P(x) TARGET_ISA_XOP_P(x) +#define TARGET_LWP TARGET_ISA_LWP +#define TARGET_LWP_P(x) TARGET_ISA_LWP_P(x) +#define TARGET_ROUND TARGET_ISA_ROUND +#define TARGET_ABM TARGET_ISA_ABM +#define TARGET_ABM_P(x) TARGET_ISA_ABM_P(x) +#define TARGET_BMI TARGET_ISA_BMI +#define TARGET_BMI_P(x) TARGET_ISA_BMI_P(x) +#define TARGET_BMI2 TARGET_ISA_BMI2 +#define TARGET_BMI2_P(x) TARGET_ISA_BMI2_P(x) +#define TARGET_LZCNT TARGET_ISA_LZCNT +#define TARGET_LZCNT_P(x) TARGET_ISA_LZCNT_P(x) +#define TARGET_TBM TARGET_ISA_TBM +#define TARGET_TBM_P(x) TARGET_ISA_TBM_P(x) +#define TARGET_POPCNT TARGET_ISA_POPCNT +#define TARGET_POPCNT_P(x) TARGET_ISA_POPCNT_P(x) +#define TARGET_SAHF TARGET_ISA_SAHF +#define TARGET_SAHF_P(x) TARGET_ISA_SAHF_P(x) +#define TARGET_MOVBE TARGET_ISA_MOVBE +#define TARGET_MOVBE_P(x) TARGET_ISA_MOVBE_P(x) +#define TARGET_CRC32 TARGET_ISA_CRC32 +#define TARGET_CRC32_P(x) TARGET_ISA_CRC32_P(x) +#define TARGET_AES TARGET_ISA_AES +#define TARGET_AES_P(x) TARGET_ISA_AES_P(x) +#define TARGET_SHA TARGET_ISA_SHA +#define TARGET_SHA_P(x) TARGET_ISA_SHA_P(x) +#define TARGET_CLFLUSHOPT TARGET_ISA_CLFLUSHOPT +#define TARGET_CLFLUSHOPT_P(x) TARGET_ISA_CLFLUSHOPT_P(x) +#define TARGET_XSAVEC TARGET_ISA_XSAVEC +#define TARGET_XSAVEC_P(x) TARGET_ISA_XSAVEC_P(x) +#define TARGET_XSAVES TARGET_ISA_XSAVES +#define TARGET_XSAVES_P(x) TARGET_ISA_XSAVES_P(x) +#define TARGET_PCLMUL TARGET_ISA_PCLMUL +#define TARGET_PCLMUL_P(x) TARGET_ISA_PCLMUL_P(x) +#define TARGET_CMPXCHG16B TARGET_ISA_CX16 +#define TARGET_CMPXCHG16B_P(x) TARGET_ISA_CX16_P(x) +#define TARGET_FSGSBASE TARGET_ISA_FSGSBASE +#define TARGET_FSGSBASE_P(x) TARGET_ISA_FSGSBASE_P(x) +#define TARGET_RDRND TARGET_ISA_RDRND +#define TARGET_RDRND_P(x) TARGET_ISA_RDRND_P(x) +#define TARGET_F16C TARGET_ISA_F16C +#define TARGET_F16C_P(x) TARGET_ISA_F16C_P(x) +#define TARGET_RTM TARGET_ISA_RTM +#define TARGET_RTM_P(x) TARGET_ISA_RTM_P(x) +#define TARGET_HLE TARGET_ISA_HLE +#define TARGET_HLE_P(x) TARGET_ISA_HLE_P(x) +#define TARGET_RDSEED TARGET_ISA_RDSEED +#define TARGET_RDSEED_P(x) TARGET_ISA_RDSEED_P(x) +#define TARGET_PRFCHW TARGET_ISA_PRFCHW +#define TARGET_PRFCHW_P(x) TARGET_ISA_PRFCHW_P(x) +#define TARGET_ADX TARGET_ISA_ADX +#define TARGET_ADX_P(x) TARGET_ISA_ADX_P(x) +#define TARGET_FXSR TARGET_ISA_FXSR +#define TARGET_FXSR_P(x) TARGET_ISA_FXSR_P(x) +#define TARGET_XSAVE TARGET_ISA_XSAVE +#define TARGET_XSAVE_P(x) TARGET_ISA_XSAVE_P(x) +#define TARGET_XSAVEOPT TARGET_ISA_XSAVEOPT +#define TARGET_XSAVEOPT_P(x) TARGET_ISA_XSAVEOPT_P(x) +#define TARGET_PREFETCHWT1 TARGET_ISA_PREFETCHWT1 +#define TARGET_PREFETCHWT1_P(x) TARGET_ISA_PREFETCHWT1_P(x) +#define TARGET_MPX TARGET_ISA_MPX +#define TARGET_MPX_P(x) TARGET_ISA_MPX_P(x) +#define TARGET_PCOMMIT TARGET_ISA_PCOMMIT +#define TARGET_PCOMMIT_P(x) TARGET_ISA_PCOMMIT_P(x) +#define TARGET_CLWB TARGET_ISA_CLWB +#define TARGET_CLWB_P(x) TARGET_ISA_CLWB_P(x) +#define TARGET_MWAITX TARGET_ISA_MWAITX +#define TARGET_MWAITX_P(x) TARGET_ISA_MWAITX_P(x) + +#define TARGET_LP64 TARGET_ABI_64 +#define TARGET_LP64_P(x) TARGET_ABI_64_P(x) +#define TARGET_X32 TARGET_ABI_X32 +#define TARGET_X32_P(x) TARGET_ABI_X32_P(x) +#define TARGET_16BIT TARGET_CODE16 +#define TARGET_16BIT_P(x) TARGET_CODE16_P(x) + +/* SSE4.1 defines round instructions */ +#define OPTION_MASK_ISA_ROUND OPTION_MASK_ISA_SSE4_1 +#define TARGET_ISA_ROUND ((ix86_isa_flags & OPTION_MASK_ISA_ROUND) != 0) + +#include "config/vxworks-dummy.h" + +#include "config/i386/i386-opts.h" + +#define MAX_STRINGOP_ALGS 4 + +/* Specify what algorithm to use for stringops on known size. + When size is unknown, the UNKNOWN_SIZE alg is used. When size is + known at compile time or estimated via feedback, the SIZE array + is walked in order until MAX is greater then the estimate (or -1 + means infinity). Corresponding ALG is used then. + When NOALIGN is true the code guaranting the alignment of the memory + block is skipped. + + For example initializer: + {{256, loop}, {-1, rep_prefix_4_byte}} + will use loop for blocks smaller or equal to 256 bytes, rep prefix will + be used otherwise. */ +struct stringop_algs +{ + const enum stringop_alg unknown_size; + const struct stringop_strategy { + const int max; + const enum stringop_alg alg; + int noalign; + } size [MAX_STRINGOP_ALGS]; +}; + +/* Define the specific costs for a given cpu */ + +struct processor_costs { + const int add; /* cost of an add instruction */ + const int lea; /* cost of a lea instruction */ + const int shift_var; /* variable shift costs */ + const int shift_const; /* constant shift costs */ + const int mult_init[5]; /* cost of starting a multiply + in QImode, HImode, SImode, DImode, TImode*/ + const int mult_bit; /* cost of multiply per each bit set */ + const int divide[5]; /* cost of a divide/mod + in QImode, HImode, SImode, DImode, TImode*/ + int movsx; /* The cost of movsx operation. */ + int movzx; /* The cost of movzx operation. */ + const int large_insn; /* insns larger than this cost more */ + const int move_ratio; /* The threshold of number of scalar + memory-to-memory move insns. */ + const int movzbl_load; /* cost of loading using movzbl */ + const int int_load[3]; /* cost of loading integer registers + in QImode, HImode and SImode relative + to reg-reg move (2). */ + const int int_store[3]; /* cost of storing integer register + in QImode, HImode and SImode */ + const int fp_move; /* cost of reg,reg fld/fst */ + const int fp_load[3]; /* cost of loading FP register + in SFmode, DFmode and XFmode */ + const int fp_store[3]; /* cost of storing FP register + in SFmode, DFmode and XFmode */ + const int mmx_move; /* cost of moving MMX register. */ + const int mmx_load[2]; /* cost of loading MMX register + in SImode and DImode */ + const int mmx_store[2]; /* cost of storing MMX register + in SImode and DImode */ + const int sse_move; /* cost of moving SSE register. */ + const int sse_load[3]; /* cost of loading SSE register + in SImode, DImode and TImode*/ + const int sse_store[3]; /* cost of storing SSE register + in SImode, DImode and TImode*/ + const int mmxsse_to_integer; /* cost of moving mmxsse register to + integer and vice versa. */ + const int l1_cache_size; /* size of l1 cache, in kilobytes. */ + const int l2_cache_size; /* size of l2 cache, in kilobytes. */ + const int prefetch_block; /* bytes moved to cache for prefetch. */ + const int simultaneous_prefetches; /* number of parallel prefetch + operations. */ + const int branch_cost; /* Default value for BRANCH_COST. */ + const int fadd; /* cost of FADD and FSUB instructions. */ + const int fmul; /* cost of FMUL instruction. */ + const int fdiv; /* cost of FDIV instruction. */ + const int fabs; /* cost of FABS instruction. */ + const int fchs; /* cost of FCHS instruction. */ + const int fsqrt; /* cost of FSQRT instruction. */ + /* Specify what algorithm + to use for stringops on unknown size. */ + struct stringop_algs *memcpy, *memset; + const int scalar_stmt_cost; /* Cost of any scalar operation, excluding + load and store. */ + const int scalar_load_cost; /* Cost of scalar load. */ + const int scalar_store_cost; /* Cost of scalar store. */ + const int vec_stmt_cost; /* Cost of any vector operation, excluding + load, store, vector-to-scalar and + scalar-to-vector operation. */ + const int vec_to_scalar_cost; /* Cost of vect-to-scalar operation. */ + const int scalar_to_vec_cost; /* Cost of scalar-to-vector operation. */ + const int vec_align_load_cost; /* Cost of aligned vector load. */ + const int vec_unalign_load_cost; /* Cost of unaligned vector load. */ + const int vec_store_cost; /* Cost of vector store. */ + const int cond_taken_branch_cost; /* Cost of taken branch for vectorizer + cost model. */ + const int cond_not_taken_branch_cost;/* Cost of not taken branch for + vectorizer cost model. */ +}; + +extern const struct processor_costs *ix86_cost; +extern const struct processor_costs ix86_size_cost; + +#define ix86_cur_cost() \ + (optimize_insn_for_size_p () ? &ix86_size_cost: ix86_cost) + +/* Macros used in the machine description to test the flags. */ + +/* configure can arrange to change it. */ + +#ifndef TARGET_CPU_DEFAULT +#define TARGET_CPU_DEFAULT PROCESSOR_GENERIC +#endif + +#ifndef TARGET_FPMATH_DEFAULT +#define TARGET_FPMATH_DEFAULT \ + (TARGET_64BIT && TARGET_SSE ? FPMATH_SSE : FPMATH_387) +#endif + +#ifndef TARGET_FPMATH_DEFAULT_P +#define TARGET_FPMATH_DEFAULT_P(x) \ + (TARGET_64BIT_P(x) && TARGET_SSE_P(x) ? FPMATH_SSE : FPMATH_387) +#endif + +#define TARGET_FLOAT_RETURNS_IN_80387 TARGET_FLOAT_RETURNS +#define TARGET_FLOAT_RETURNS_IN_80387_P(x) TARGET_FLOAT_RETURNS_P(x) + +/* 64bit Sledgehammer mode. For libgcc2 we make sure this is a + compile-time constant. */ +#ifdef IN_LIBGCC2 +#undef TARGET_64BIT +#ifdef __x86_64__ +#define TARGET_64BIT 1 +#else +#define TARGET_64BIT 0 +#endif +#else +#ifndef TARGET_BI_ARCH +#undef TARGET_64BIT +#undef TARGET_64BIT_P +#if TARGET_64BIT_DEFAULT +#define TARGET_64BIT 1 +#define TARGET_64BIT_P(x) 1 +#else +#define TARGET_64BIT 0 +#define TARGET_64BIT_P(x) 0 +#endif +#endif +#endif + +#define HAS_LONG_COND_BRANCH 1 +#define HAS_LONG_UNCOND_BRANCH 1 + +#define TARGET_386 (ix86_tune == PROCESSOR_I386) +#define TARGET_486 (ix86_tune == PROCESSOR_I486) +#define TARGET_PENTIUM (ix86_tune == PROCESSOR_PENTIUM) +#define TARGET_PENTIUMPRO (ix86_tune == PROCESSOR_PENTIUMPRO) +#define TARGET_GEODE (ix86_tune == PROCESSOR_GEODE) +#define TARGET_K6 (ix86_tune == PROCESSOR_K6) +#define TARGET_ATHLON (ix86_tune == PROCESSOR_ATHLON) +#define TARGET_PENTIUM4 (ix86_tune == PROCESSOR_PENTIUM4) +#define TARGET_K8 (ix86_tune == PROCESSOR_K8) +#define TARGET_ATHLON_K8 (TARGET_K8 || TARGET_ATHLON) +#define TARGET_NOCONA (ix86_tune == PROCESSOR_NOCONA) +#define TARGET_CORE2 (ix86_tune == PROCESSOR_CORE2) +#define TARGET_NEHALEM (ix86_tune == PROCESSOR_NEHALEM) +#define TARGET_SANDYBRIDGE (ix86_tune == PROCESSOR_SANDYBRIDGE) +#define TARGET_HASWELL (ix86_tune == PROCESSOR_HASWELL) +#define TARGET_BONNELL (ix86_tune == PROCESSOR_BONNELL) +#define TARGET_SILVERMONT (ix86_tune == PROCESSOR_SILVERMONT) +#define TARGET_KNL (ix86_tune == PROCESSOR_KNL) +#define TARGET_INTEL (ix86_tune == PROCESSOR_INTEL) +#define TARGET_GENERIC (ix86_tune == PROCESSOR_GENERIC) +#define TARGET_AMDFAM10 (ix86_tune == PROCESSOR_AMDFAM10) +#define TARGET_BDVER1 (ix86_tune == PROCESSOR_BDVER1) +#define TARGET_BDVER2 (ix86_tune == PROCESSOR_BDVER2) +#define TARGET_BDVER3 (ix86_tune == PROCESSOR_BDVER3) +#define TARGET_BDVER4 (ix86_tune == PROCESSOR_BDVER4) +#define TARGET_BTVER1 (ix86_tune == PROCESSOR_BTVER1) +#define TARGET_BTVER2 (ix86_tune == PROCESSOR_BTVER2) + +/* Feature tests against the various tunings. */ +enum ix86_tune_indices { +#undef DEF_TUNE +#define DEF_TUNE(tune, name, selector) tune, +#include "x86-tune.def" +#undef DEF_TUNE +X86_TUNE_LAST +}; + +extern unsigned char ix86_tune_features[X86_TUNE_LAST]; + +#define TARGET_USE_LEAVE ix86_tune_features[X86_TUNE_USE_LEAVE] +#define TARGET_PUSH_MEMORY ix86_tune_features[X86_TUNE_PUSH_MEMORY] +#define TARGET_ZERO_EXTEND_WITH_AND \ + ix86_tune_features[X86_TUNE_ZERO_EXTEND_WITH_AND] +#define TARGET_UNROLL_STRLEN ix86_tune_features[X86_TUNE_UNROLL_STRLEN] +#define TARGET_BRANCH_PREDICTION_HINTS \ + ix86_tune_features[X86_TUNE_BRANCH_PREDICTION_HINTS] +#define TARGET_DOUBLE_WITH_ADD ix86_tune_features[X86_TUNE_DOUBLE_WITH_ADD] +#define TARGET_USE_SAHF ix86_tune_features[X86_TUNE_USE_SAHF] +#define TARGET_MOVX ix86_tune_features[X86_TUNE_MOVX] +#define TARGET_PARTIAL_REG_STALL ix86_tune_features[X86_TUNE_PARTIAL_REG_STALL] +#define TARGET_PARTIAL_FLAG_REG_STALL \ + ix86_tune_features[X86_TUNE_PARTIAL_FLAG_REG_STALL] +#define TARGET_LCP_STALL \ + ix86_tune_features[X86_TUNE_LCP_STALL] +#define TARGET_USE_HIMODE_FIOP ix86_tune_features[X86_TUNE_USE_HIMODE_FIOP] +#define TARGET_USE_SIMODE_FIOP ix86_tune_features[X86_TUNE_USE_SIMODE_FIOP] +#define TARGET_USE_MOV0 ix86_tune_features[X86_TUNE_USE_MOV0] +#define TARGET_USE_CLTD ix86_tune_features[X86_TUNE_USE_CLTD] +#define TARGET_USE_XCHGB ix86_tune_features[X86_TUNE_USE_XCHGB] +#define TARGET_SPLIT_LONG_MOVES ix86_tune_features[X86_TUNE_SPLIT_LONG_MOVES] +#define TARGET_READ_MODIFY_WRITE ix86_tune_features[X86_TUNE_READ_MODIFY_WRITE] +#define TARGET_READ_MODIFY ix86_tune_features[X86_TUNE_READ_MODIFY] +#define TARGET_PROMOTE_QImode ix86_tune_features[X86_TUNE_PROMOTE_QIMODE] +#define TARGET_FAST_PREFIX ix86_tune_features[X86_TUNE_FAST_PREFIX] +#define TARGET_SINGLE_STRINGOP ix86_tune_features[X86_TUNE_SINGLE_STRINGOP] +#define TARGET_MISALIGNED_MOVE_STRING_PRO_EPILOGUES \ + ix86_tune_features[X86_TUNE_MISALIGNED_MOVE_STRING_PRO_EPILOGUES] +#define TARGET_QIMODE_MATH ix86_tune_features[X86_TUNE_QIMODE_MATH] +#define TARGET_HIMODE_MATH ix86_tune_features[X86_TUNE_HIMODE_MATH] +#define TARGET_PROMOTE_QI_REGS ix86_tune_features[X86_TUNE_PROMOTE_QI_REGS] +#define TARGET_PROMOTE_HI_REGS ix86_tune_features[X86_TUNE_PROMOTE_HI_REGS] +#define TARGET_SINGLE_POP ix86_tune_features[X86_TUNE_SINGLE_POP] +#define TARGET_DOUBLE_POP ix86_tune_features[X86_TUNE_DOUBLE_POP] +#define TARGET_SINGLE_PUSH ix86_tune_features[X86_TUNE_SINGLE_PUSH] +#define TARGET_DOUBLE_PUSH ix86_tune_features[X86_TUNE_DOUBLE_PUSH] +#define TARGET_INTEGER_DFMODE_MOVES \ + ix86_tune_features[X86_TUNE_INTEGER_DFMODE_MOVES] +#define TARGET_PARTIAL_REG_DEPENDENCY \ + ix86_tune_features[X86_TUNE_PARTIAL_REG_DEPENDENCY] +#define TARGET_SSE_PARTIAL_REG_DEPENDENCY \ + ix86_tune_features[X86_TUNE_SSE_PARTIAL_REG_DEPENDENCY] +#define TARGET_SSE_UNALIGNED_LOAD_OPTIMAL \ + ix86_tune_features[X86_TUNE_SSE_UNALIGNED_LOAD_OPTIMAL] +#define TARGET_SSE_UNALIGNED_STORE_OPTIMAL \ + ix86_tune_features[X86_TUNE_SSE_UNALIGNED_STORE_OPTIMAL] +#define TARGET_SSE_PACKED_SINGLE_INSN_OPTIMAL \ + ix86_tune_features[X86_TUNE_SSE_PACKED_SINGLE_INSN_OPTIMAL] +#define TARGET_SSE_SPLIT_REGS ix86_tune_features[X86_TUNE_SSE_SPLIT_REGS] +#define TARGET_SSE_TYPELESS_STORES \ + ix86_tune_features[X86_TUNE_SSE_TYPELESS_STORES] +#define TARGET_SSE_LOAD0_BY_PXOR ix86_tune_features[X86_TUNE_SSE_LOAD0_BY_PXOR] +#define TARGET_MEMORY_MISMATCH_STALL \ + ix86_tune_features[X86_TUNE_MEMORY_MISMATCH_STALL] +#define TARGET_PROLOGUE_USING_MOVE \ + ix86_tune_features[X86_TUNE_PROLOGUE_USING_MOVE] +#define TARGET_EPILOGUE_USING_MOVE \ + ix86_tune_features[X86_TUNE_EPILOGUE_USING_MOVE] +#define TARGET_SHIFT1 ix86_tune_features[X86_TUNE_SHIFT1] +#define TARGET_USE_FFREEP ix86_tune_features[X86_TUNE_USE_FFREEP] +#define TARGET_INTER_UNIT_MOVES_TO_VEC \ + ix86_tune_features[X86_TUNE_INTER_UNIT_MOVES_TO_VEC] +#define TARGET_INTER_UNIT_MOVES_FROM_VEC \ + ix86_tune_features[X86_TUNE_INTER_UNIT_MOVES_FROM_VEC] +#define TARGET_INTER_UNIT_CONVERSIONS \ + ix86_tune_features[X86_TUNE_INTER_UNIT_CONVERSIONS] +#define TARGET_FOUR_JUMP_LIMIT ix86_tune_features[X86_TUNE_FOUR_JUMP_LIMIT] +#define TARGET_SCHEDULE ix86_tune_features[X86_TUNE_SCHEDULE] +#define TARGET_USE_BT ix86_tune_features[X86_TUNE_USE_BT] +#define TARGET_USE_INCDEC ix86_tune_features[X86_TUNE_USE_INCDEC] +#define TARGET_PAD_RETURNS ix86_tune_features[X86_TUNE_PAD_RETURNS] +#define TARGET_PAD_SHORT_FUNCTION \ + ix86_tune_features[X86_TUNE_PAD_SHORT_FUNCTION] +#define TARGET_EXT_80387_CONSTANTS \ + ix86_tune_features[X86_TUNE_EXT_80387_CONSTANTS] +#define TARGET_AVOID_VECTOR_DECODE \ + ix86_tune_features[X86_TUNE_AVOID_VECTOR_DECODE] +#define TARGET_TUNE_PROMOTE_HIMODE_IMUL \ + ix86_tune_features[X86_TUNE_PROMOTE_HIMODE_IMUL] +#define TARGET_SLOW_IMUL_IMM32_MEM \ + ix86_tune_features[X86_TUNE_SLOW_IMUL_IMM32_MEM] +#define TARGET_SLOW_IMUL_IMM8 ix86_tune_features[X86_TUNE_SLOW_IMUL_IMM8] +#define TARGET_MOVE_M1_VIA_OR ix86_tune_features[X86_TUNE_MOVE_M1_VIA_OR] +#define TARGET_NOT_UNPAIRABLE ix86_tune_features[X86_TUNE_NOT_UNPAIRABLE] +#define TARGET_NOT_VECTORMODE ix86_tune_features[X86_TUNE_NOT_VECTORMODE] +#define TARGET_USE_VECTOR_FP_CONVERTS \ + ix86_tune_features[X86_TUNE_USE_VECTOR_FP_CONVERTS] +#define TARGET_USE_VECTOR_CONVERTS \ + ix86_tune_features[X86_TUNE_USE_VECTOR_CONVERTS] +#define TARGET_SLOW_PSHUFB \ + ix86_tune_features[X86_TUNE_SLOW_PSHUFB] +#define TARGET_VECTOR_PARALLEL_EXECUTION \ + ix86_tune_features[X86_TUNE_VECTOR_PARALLEL_EXECUTION] +#define TARGET_AVOID_4BYTE_PREFIXES \ + ix86_tune_features[X86_TUNE_AVOID_4BYTE_PREFIXES] +#define TARGET_FUSE_CMP_AND_BRANCH_32 \ + ix86_tune_features[X86_TUNE_FUSE_CMP_AND_BRANCH_32] +#define TARGET_FUSE_CMP_AND_BRANCH_64 \ + ix86_tune_features[X86_TUNE_FUSE_CMP_AND_BRANCH_64] +#define TARGET_FUSE_CMP_AND_BRANCH \ + (TARGET_64BIT ? TARGET_FUSE_CMP_AND_BRANCH_64 \ + : TARGET_FUSE_CMP_AND_BRANCH_32) +#define TARGET_FUSE_CMP_AND_BRANCH_SOFLAGS \ + ix86_tune_features[X86_TUNE_FUSE_CMP_AND_BRANCH_SOFLAGS] +#define TARGET_FUSE_ALU_AND_BRANCH \ + ix86_tune_features[X86_TUNE_FUSE_ALU_AND_BRANCH] +#define TARGET_OPT_AGU ix86_tune_features[X86_TUNE_OPT_AGU] +#define TARGET_AVOID_LEA_FOR_ADDR \ + ix86_tune_features[X86_TUNE_AVOID_LEA_FOR_ADDR] +#define TARGET_VECTORIZE_DOUBLE \ + ix86_tune_features[X86_TUNE_VECTORIZE_DOUBLE] +#define TARGET_SOFTWARE_PREFETCHING_BENEFICIAL \ + ix86_tune_features[X86_TUNE_SOFTWARE_PREFETCHING_BENEFICIAL] +#define TARGET_AVX128_OPTIMAL \ + ix86_tune_features[X86_TUNE_AVX128_OPTIMAL] +#define TARGET_REASSOC_INT_TO_PARALLEL \ + ix86_tune_features[X86_TUNE_REASSOC_INT_TO_PARALLEL] +#define TARGET_REASSOC_FP_TO_PARALLEL \ + ix86_tune_features[X86_TUNE_REASSOC_FP_TO_PARALLEL] +#define TARGET_GENERAL_REGS_SSE_SPILL \ + ix86_tune_features[X86_TUNE_GENERAL_REGS_SSE_SPILL] +#define TARGET_AVOID_MEM_OPND_FOR_CMOVE \ + ix86_tune_features[X86_TUNE_AVOID_MEM_OPND_FOR_CMOVE] +#define TARGET_SPLIT_MEM_OPND_FOR_FP_CONVERTS \ + ix86_tune_features[X86_TUNE_SPLIT_MEM_OPND_FOR_FP_CONVERTS] +#define TARGET_ADJUST_UNROLL \ + ix86_tune_features[X86_TUNE_ADJUST_UNROLL] +#define TARGET_AVOID_FALSE_DEP_FOR_BMI \ + ix86_tune_features[X86_TUNE_AVOID_FALSE_DEP_FOR_BMI] + +/* Feature tests against the various architecture variations. */ +enum ix86_arch_indices { + X86_ARCH_CMOV, + X86_ARCH_CMPXCHG, + X86_ARCH_CMPXCHG8B, + X86_ARCH_XADD, + X86_ARCH_BSWAP, + + X86_ARCH_LAST +}; + +extern unsigned char ix86_arch_features[X86_ARCH_LAST]; + +#define TARGET_CMOV ix86_arch_features[X86_ARCH_CMOV] +#define TARGET_CMPXCHG ix86_arch_features[X86_ARCH_CMPXCHG] +#define TARGET_CMPXCHG8B ix86_arch_features[X86_ARCH_CMPXCHG8B] +#define TARGET_XADD ix86_arch_features[X86_ARCH_XADD] +#define TARGET_BSWAP ix86_arch_features[X86_ARCH_BSWAP] + +/* For sane SSE instruction set generation we need fcomi instruction. + It is safe to enable all CMOVE instructions. Also, RDRAND intrinsic + expands to a sequence that includes conditional move. */ +#define TARGET_CMOVE (TARGET_CMOV || TARGET_SSE || TARGET_RDRND) + +#define TARGET_FISTTP (TARGET_SSE3 && TARGET_80387) + +extern unsigned char x86_prefetch_sse; +#define TARGET_PREFETCH_SSE x86_prefetch_sse + +#define ASSEMBLER_DIALECT (ix86_asm_dialect) + +#define TARGET_SSE_MATH ((ix86_fpmath & FPMATH_SSE) != 0) +#define TARGET_MIX_SSE_I387 \ + ((ix86_fpmath & (FPMATH_SSE | FPMATH_387)) == (FPMATH_SSE | FPMATH_387)) + +#define TARGET_GNU_TLS (ix86_tls_dialect == TLS_DIALECT_GNU) +#define TARGET_GNU2_TLS (ix86_tls_dialect == TLS_DIALECT_GNU2) +#define TARGET_ANY_GNU_TLS (TARGET_GNU_TLS || TARGET_GNU2_TLS) +#define TARGET_SUN_TLS 0 + +#ifndef TARGET_64BIT_DEFAULT +#define TARGET_64BIT_DEFAULT 0 +#endif +#ifndef TARGET_TLS_DIRECT_SEG_REFS_DEFAULT +#define TARGET_TLS_DIRECT_SEG_REFS_DEFAULT 0 +#endif + +#define TARGET_SSP_GLOBAL_GUARD (ix86_stack_protector_guard == SSP_GLOBAL) +#define TARGET_SSP_TLS_GUARD (ix86_stack_protector_guard == SSP_TLS) + +/* Fence to use after loop using storent. */ + +extern tree x86_mfence; +#define FENCE_FOLLOWING_MOVNT x86_mfence + +/* Once GDB has been enhanced to deal with functions without frame + pointers, we can change this to allow for elimination of + the frame pointer in leaf functions. */ +#define TARGET_DEFAULT 0 + +/* Extra bits to force. */ +#define TARGET_SUBTARGET_DEFAULT 0 +#define TARGET_SUBTARGET_ISA_DEFAULT 0 + +/* Extra bits to force on w/ 32-bit mode. */ +#define TARGET_SUBTARGET32_DEFAULT 0 +#define TARGET_SUBTARGET32_ISA_DEFAULT 0 + +/* Extra bits to force on w/ 64-bit mode. */ +#define TARGET_SUBTARGET64_DEFAULT 0 +#define TARGET_SUBTARGET64_ISA_DEFAULT 0 + +/* Replace MACH-O, ifdefs by in-line tests, where possible. + (a) Macros defined in config/i386/darwin.h */ +#define TARGET_MACHO 0 +#define TARGET_MACHO_BRANCH_ISLANDS 0 +#define MACHOPIC_ATT_STUB 0 +/* (b) Macros defined in config/darwin.h */ +#define MACHO_DYNAMIC_NO_PIC_P 0 +#define MACHOPIC_INDIRECT 0 +#define MACHOPIC_PURE 0 + +/* For the RDOS */ +#define TARGET_RDOS 0 + +/* For the Windows 64-bit ABI. */ +#define TARGET_64BIT_MS_ABI (TARGET_64BIT && ix86_cfun_abi () == MS_ABI) + +/* For the Windows 32-bit ABI. */ +#define TARGET_32BIT_MS_ABI (!TARGET_64BIT && ix86_cfun_abi () == MS_ABI) + +/* This is re-defined by cygming.h. */ +#define TARGET_SEH 0 + +/* This is re-defined by cygming.h. */ +#define TARGET_PECOFF 0 + +/* The default abi used by target. */ +#define DEFAULT_ABI SYSV_ABI + +/* The default TLS segment register used by target. */ +#define DEFAULT_TLS_SEG_REG (TARGET_64BIT ? SEG_FS : SEG_GS) + +/* Subtargets may reset this to 1 in order to enable 96-bit long double + with the rounding mode forced to 53 bits. */ +#define TARGET_96_ROUND_53_LONG_DOUBLE 0 + +/* -march=native handling only makes sense with compiler running on + an x86 or x86_64 chip. If changing this condition, also change + the condition in driver-i386.c. */ +#if defined(__i386__) || defined(__x86_64__) +/* In driver-i386.c. */ +extern const char *host_detect_local_cpu (int argc, const char **argv); +#define EXTRA_SPEC_FUNCTIONS \ + { "local_cpu_detect", host_detect_local_cpu }, +#define HAVE_LOCAL_CPU_DETECT +#endif + +#if TARGET_64BIT_DEFAULT +#define OPT_ARCH64 "!m32" +#define OPT_ARCH32 "m32" +#else +#define OPT_ARCH64 "m64|mx32" +#define OPT_ARCH32 "m64|mx32:;" +#endif + +/* Support for configure-time defaults of some command line options. + The order here is important so that -march doesn't squash the + tune or cpu values. */ +#define OPTION_DEFAULT_SPECS \ + {"tune", "%{!mtune=*:%{!mcpu=*:%{!march=*:-mtune=%(VALUE)}}}" }, \ + {"tune_32", "%{" OPT_ARCH32 ":%{!mtune=*:%{!mcpu=*:%{!march=*:-mtune=%(VALUE)}}}}" }, \ + {"tune_64", "%{" OPT_ARCH64 ":%{!mtune=*:%{!mcpu=*:%{!march=*:-mtune=%(VALUE)}}}}" }, \ + {"cpu", "%{!mtune=*:%{!mcpu=*:%{!march=*:-mtune=%(VALUE)}}}" }, \ + {"cpu_32", "%{" OPT_ARCH32 ":%{!mtune=*:%{!mcpu=*:%{!march=*:-mtune=%(VALUE)}}}}" }, \ + {"cpu_64", "%{" OPT_ARCH64 ":%{!mtune=*:%{!mcpu=*:%{!march=*:-mtune=%(VALUE)}}}}" }, \ + {"arch", "%{!march=*:-march=%(VALUE)}"}, \ + {"arch_32", "%{" OPT_ARCH32 ":%{!march=*:-march=%(VALUE)}}"}, \ + {"arch_64", "%{" OPT_ARCH64 ":%{!march=*:-march=%(VALUE)}}"}, + +/* Specs for the compiler proper */ + +#ifndef CC1_CPU_SPEC +#define CC1_CPU_SPEC_1 "" + +#ifndef HAVE_LOCAL_CPU_DETECT +#define CC1_CPU_SPEC CC1_CPU_SPEC_1 +#else +#define CC1_CPU_SPEC CC1_CPU_SPEC_1 \ +"%{march=native:%>march=native %:local_cpu_detect(arch) \ + %{!mtune=*:%>mtune=native %:local_cpu_detect(tune)}} \ +%{mtune=native:%>mtune=native %:local_cpu_detect(tune)}" +#endif +#endif + +/* Target CPU builtins. */ +#define TARGET_CPU_CPP_BUILTINS() ix86_target_macros () + +/* Target Pragmas. */ +#define REGISTER_TARGET_PRAGMAS() ix86_register_pragmas () + +#ifndef CC1_SPEC +#define CC1_SPEC "%(cc1_cpu) " +#endif + +/* This macro defines names of additional specifications to put in the + specs that can be used in various specifications like CC1_SPEC. Its + definition is an initializer with a subgrouping for each command option. + + Each subgrouping contains a string constant, that defines the + specification name, and a string constant that used by the GCC driver + program. + + Do not define this macro if it does not need to do anything. */ + +#ifndef SUBTARGET_EXTRA_SPECS +#define SUBTARGET_EXTRA_SPECS +#endif + +#define EXTRA_SPECS \ + { "cc1_cpu", CC1_CPU_SPEC }, \ + SUBTARGET_EXTRA_SPECS + + +/* Set the value of FLT_EVAL_METHOD in float.h. When using only the + FPU, assume that the fpcw is set to extended precision; when using + only SSE, rounding is correct; when using both SSE and the FPU, + the rounding precision is indeterminate, since either may be chosen + apparently at random. */ +#define TARGET_FLT_EVAL_METHOD \ + (TARGET_MIX_SSE_I387 ? -1 : TARGET_SSE_MATH ? 0 : 2) + +/* Whether to allow x87 floating-point arithmetic on MODE (one of + SFmode, DFmode and XFmode) in the current excess precision + configuration. */ +#define X87_ENABLE_ARITH(MODE) \ + (flag_excess_precision == EXCESS_PRECISION_FAST || (MODE) == XFmode) + +/* Likewise, whether to allow direct conversions from integer mode + IMODE (HImode, SImode or DImode) to MODE. */ +#define X87_ENABLE_FLOAT(MODE, IMODE) \ + (flag_excess_precision == EXCESS_PRECISION_FAST \ + || (MODE) == XFmode \ + || ((MODE) == DFmode && (IMODE) == SImode) \ + || (IMODE) == HImode) + +/* target machine storage layout */ + +#define SHORT_TYPE_SIZE 16 +#define INT_TYPE_SIZE 32 +#define LONG_TYPE_SIZE (TARGET_X32 ? 32 : BITS_PER_WORD) +#define POINTER_SIZE (TARGET_X32 ? 32 : BITS_PER_WORD) +#define LONG_LONG_TYPE_SIZE 64 +#define FLOAT_TYPE_SIZE 32 +#define DOUBLE_TYPE_SIZE 64 +#define LONG_DOUBLE_TYPE_SIZE \ + (TARGET_LONG_DOUBLE_64 ? 64 : (TARGET_LONG_DOUBLE_128 ? 128 : 80)) + +#define WIDEST_HARDWARE_FP_SIZE 80 + +#if defined (TARGET_BI_ARCH) || TARGET_64BIT_DEFAULT +#define MAX_BITS_PER_WORD 64 +#else +#define MAX_BITS_PER_WORD 32 +#endif + +/* Define this if most significant byte of a word is the lowest numbered. */ +/* That is true on the 80386. */ + +#define BITS_BIG_ENDIAN 0 + +/* Define this if most significant byte of a word is the lowest numbered. */ +/* That is not true on the 80386. */ +#define BYTES_BIG_ENDIAN 0 + +/* Define this if most significant word of a multiword number is the lowest + numbered. */ +/* Not true for 80386 */ +#define WORDS_BIG_ENDIAN 0 + +/* Width of a word, in units (bytes). */ +#define UNITS_PER_WORD (TARGET_64BIT ? 8 : 4) + +#ifndef IN_LIBGCC2 +#define MIN_UNITS_PER_WORD 4 +#endif + +/* Allocation boundary (in *bits*) for storing arguments in argument list. */ +#define PARM_BOUNDARY BITS_PER_WORD + +/* Boundary (in *bits*) on which stack pointer should be aligned. */ +#define STACK_BOUNDARY \ + (TARGET_64BIT && ix86_abi == MS_ABI ? 128 : BITS_PER_WORD) + +/* Stack boundary of the main function guaranteed by OS. */ +#define MAIN_STACK_BOUNDARY (TARGET_64BIT ? 128 : 32) + +/* Minimum stack boundary. */ +#define MIN_STACK_BOUNDARY BITS_PER_WORD + +/* Boundary (in *bits*) on which the stack pointer prefers to be + aligned; the compiler cannot rely on having this alignment. */ +#define PREFERRED_STACK_BOUNDARY ix86_preferred_stack_boundary + +/* It should be MIN_STACK_BOUNDARY. But we set it to 128 bits for + both 32bit and 64bit, to support codes that need 128 bit stack + alignment for SSE instructions, but can't realign the stack. */ +#define PREFERRED_STACK_BOUNDARY_DEFAULT 128 + +/* 1 if -mstackrealign should be turned on by default. It will + generate an alternate prologue and epilogue that realigns the + runtime stack if nessary. This supports mixing codes that keep a + 4-byte aligned stack, as specified by i386 psABI, with codes that + need a 16-byte aligned stack, as required by SSE instructions. */ +#define STACK_REALIGN_DEFAULT 0 + +/* Boundary (in *bits*) on which the incoming stack is aligned. */ +#define INCOMING_STACK_BOUNDARY ix86_incoming_stack_boundary + +/* According to Windows x64 software convention, the maximum stack allocatable + in the prologue is 4G - 8 bytes. Furthermore, there is a limited set of + instructions allowed to adjust the stack pointer in the epilog, forcing the + use of frame pointer for frames larger than 2 GB. This theorical limit + is reduced by 256, an over-estimated upper bound for the stack use by the + prologue. + We define only one threshold for both the prolog and the epilog. When the + frame size is larger than this threshold, we allocate the area to save SSE + regs, then save them, and then allocate the remaining. There is no SEH + unwind info for this later allocation. */ +#define SEH_MAX_FRAME_SIZE ((2U << 30) - 256) + +/* Target OS keeps a vector-aligned (128-bit, 16-byte) stack. This is + mandatory for the 64-bit ABI, and may or may not be true for other + operating systems. */ +#define TARGET_KEEPS_VECTOR_ALIGNED_STACK TARGET_64BIT + +/* Minimum allocation boundary for the code of a function. */ +#define FUNCTION_BOUNDARY 8 + +/* C++ stores the virtual bit in the lowest bit of function pointers. */ +#define TARGET_PTRMEMFUNC_VBIT_LOCATION ptrmemfunc_vbit_in_pfn + +/* Minimum size in bits of the largest boundary to which any + and all fundamental data types supported by the hardware + might need to be aligned. No data type wants to be aligned + rounder than this. + + Pentium+ prefers DFmode values to be aligned to 64 bit boundary + and Pentium Pro XFmode values at 128 bit boundaries. + + When increasing the maximum, also update + TARGET_ABSOLUTE_BIGGEST_ALIGNMENT. */ + +#define BIGGEST_ALIGNMENT \ + (TARGET_AVX512F ? 512 : (TARGET_AVX ? 256 : 128)) + +/* Maximum stack alignment. */ +#define MAX_STACK_ALIGNMENT MAX_OFILE_ALIGNMENT + +/* Alignment value for attribute ((aligned)). It is a constant since + it is the part of the ABI. We shouldn't change it with -mavx. */ +#define ATTRIBUTE_ALIGNED_VALUE 128 + +/* Decide whether a variable of mode MODE should be 128 bit aligned. */ +#define ALIGN_MODE_128(MODE) \ + ((MODE) == XFmode || SSE_REG_MODE_P (MODE)) + +/* The published ABIs say that doubles should be aligned on word + boundaries, so lower the alignment for structure fields unless + -malign-double is set. */ + +/* ??? Blah -- this macro is used directly by libobjc. Since it + supports no vector modes, cut out the complexity and fall back + on BIGGEST_FIELD_ALIGNMENT. */ +#ifdef IN_TARGET_LIBS +#ifdef __x86_64__ +#define BIGGEST_FIELD_ALIGNMENT 128 +#else +#define BIGGEST_FIELD_ALIGNMENT 32 +#endif +#else +#define ADJUST_FIELD_ALIGN(FIELD, COMPUTED) \ + x86_field_alignment (FIELD, COMPUTED) +#endif + +/* If defined, a C expression to compute the alignment given to a + constant that is being placed in memory. EXP is the constant + and ALIGN is the alignment that the object would ordinarily have. + The value of this macro is used instead of that alignment to align + the object. + + If this macro is not defined, then ALIGN is used. + + The typical use of this macro is to increase alignment for string + constants to be word aligned so that `strcpy' calls that copy + constants can be done inline. */ + +#define CONSTANT_ALIGNMENT(EXP, ALIGN) ix86_constant_alignment ((EXP), (ALIGN)) + +/* If defined, a C expression to compute the alignment for a static + variable. TYPE is the data type, and ALIGN is the alignment that + the object would ordinarily have. The value of this macro is used + instead of that alignment to align the object. + + If this macro is not defined, then ALIGN is used. + + One use of this macro is to increase alignment of medium-size + data to make it all fit in fewer cache lines. Another is to + cause character arrays to be word-aligned so that `strcpy' calls + that copy constants to character arrays can be done inline. */ + +#define DATA_ALIGNMENT(TYPE, ALIGN) \ + ix86_data_alignment ((TYPE), (ALIGN), true) + +/* Similar to DATA_ALIGNMENT, but for the cases where the ABI mandates + some alignment increase, instead of optimization only purposes. E.g. + AMD x86-64 psABI says that variables with array type larger than 15 bytes + must be aligned to 16 byte boundaries. + + If this macro is not defined, then ALIGN is used. */ + +#define DATA_ABI_ALIGNMENT(TYPE, ALIGN) \ + ix86_data_alignment ((TYPE), (ALIGN), false) + +/* If defined, a C expression to compute the alignment for a local + variable. TYPE is the data type, and ALIGN is the alignment that + the object would ordinarily have. The value of this macro is used + instead of that alignment to align the object. + + If this macro is not defined, then ALIGN is used. + + One use of this macro is to increase alignment of medium-size + data to make it all fit in fewer cache lines. */ + +#define LOCAL_ALIGNMENT(TYPE, ALIGN) \ + ix86_local_alignment ((TYPE), VOIDmode, (ALIGN)) + +/* If defined, a C expression to compute the alignment for stack slot. + TYPE is the data type, MODE is the widest mode available, and ALIGN + is the alignment that the slot would ordinarily have. The value of + this macro is used instead of that alignment to align the slot. + + If this macro is not defined, then ALIGN is used when TYPE is NULL, + Otherwise, LOCAL_ALIGNMENT will be used. + + One use of this macro is to set alignment of stack slot to the + maximum alignment of all possible modes which the slot may have. */ + +#define STACK_SLOT_ALIGNMENT(TYPE, MODE, ALIGN) \ + ix86_local_alignment ((TYPE), (MODE), (ALIGN)) + +/* If defined, a C expression to compute the alignment for a local + variable DECL. + + If this macro is not defined, then + LOCAL_ALIGNMENT (TREE_TYPE (DECL), DECL_ALIGN (DECL)) will be used. + + One use of this macro is to increase alignment of medium-size + data to make it all fit in fewer cache lines. */ + +#define LOCAL_DECL_ALIGNMENT(DECL) \ + ix86_local_alignment ((DECL), VOIDmode, DECL_ALIGN (DECL)) + +/* If defined, a C expression to compute the minimum required alignment + for dynamic stack realignment purposes for EXP (a TYPE or DECL), + MODE, assuming normal alignment ALIGN. + + If this macro is not defined, then (ALIGN) will be used. */ + +#define MINIMUM_ALIGNMENT(EXP, MODE, ALIGN) \ + ix86_minimum_alignment (EXP, MODE, ALIGN) + + +/* Set this nonzero if move instructions will actually fail to work + when given unaligned data. */ +#define STRICT_ALIGNMENT 0 + +/* If bit field type is int, don't let it cross an int, + and give entire struct the alignment of an int. */ +/* Required on the 386 since it doesn't have bit-field insns. */ +#define PCC_BITFIELD_TYPE_MATTERS 1 + +/* Standard register usage. */ + +/* This processor has special stack-like registers. See reg-stack.c + for details. */ + +#define STACK_REGS + +#define IS_STACK_MODE(MODE) \ + (((MODE) == SFmode && !(TARGET_SSE && TARGET_SSE_MATH)) \ + || ((MODE) == DFmode && !(TARGET_SSE2 && TARGET_SSE_MATH)) \ + || (MODE) == XFmode) + +/* Number of actual hardware registers. + The hardware registers are assigned numbers for the compiler + from 0 to just below FIRST_PSEUDO_REGISTER. + All registers that the compiler knows about must be given numbers, + even those that are not normally considered general registers. + + In the 80386 we give the 8 general purpose registers the numbers 0-7. + We number the floating point registers 8-15. + Note that registers 0-7 can be accessed as a short or int, + while only 0-3 may be used with byte `mov' instructions. + + Reg 16 does not correspond to any hardware register, but instead + appears in the RTL as an argument pointer prior to reload, and is + eliminated during reloading in favor of either the stack or frame + pointer. */ + +#define FIRST_PSEUDO_REGISTER 81 + +/* Number of hardware registers that go into the DWARF-2 unwind info. + If not defined, equals FIRST_PSEUDO_REGISTER. */ + +#define DWARF_FRAME_REGISTERS 17 + +/* 1 for registers that have pervasive standard uses + and are not available for the register allocator. + On the 80386, the stack pointer is such, as is the arg pointer. + + REX registers are disabled for 32bit targets in + TARGET_CONDITIONAL_REGISTER_USAGE. */ + +#define FIXED_REGISTERS \ +/*ax,dx,cx,bx,si,di,bp,sp,st,st1,st2,st3,st4,st5,st6,st7*/ \ +{ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, \ +/*arg,flags,fpsr,fpcr,frame*/ \ + 1, 1, 1, 1, 1, \ +/*xmm0,xmm1,xmm2,xmm3,xmm4,xmm5,xmm6,xmm7*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/* mm0, mm1, mm2, mm3, mm4, mm5, mm6, mm7*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/* r8, r9, r10, r11, r12, r13, r14, r15*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/*xmm8,xmm9,xmm10,xmm11,xmm12,xmm13,xmm14,xmm15*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/*xmm16,xmm17,xmm18,xmm19,xmm20,xmm21,xmm22,xmm23*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/*xmm24,xmm25,xmm26,xmm27,xmm28,xmm29,xmm30,xmm31*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/* k0, k1, k2, k3, k4, k5, k6, k7*/ \ + 0, 0, 0, 0, 0, 0, 0, 0, \ +/* b0, b1, b2, b3*/ \ + 0, 0, 0, 0 } + +/* 1 for registers not available across function calls. + These must include the FIXED_REGISTERS and also any + registers that can be used without being saved. + The latter must include the registers where values are returned + and the register where structure-value addresses are passed. + Aside from that, you can include as many other registers as you like. + + Value is set to 1 if the register is call used unconditionally. + Bit one is set if the register is call used on TARGET_32BIT ABI. + Bit two is set if the register is call used on TARGET_64BIT ABI. + Bit three is set if the register is call used on TARGET_64BIT_MS_ABI. + + Proper values are computed in TARGET_CONDITIONAL_REGISTER_USAGE. */ + +#define CALL_USED_REGISTERS \ +/*ax,dx,cx,bx,si,di,bp,sp,st,st1,st2,st3,st4,st5,st6,st7*/ \ +{ 1, 1, 1, 0, 4, 4, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, \ +/*arg,flags,fpsr,fpcr,frame*/ \ + 1, 1, 1, 1, 1, \ +/*xmm0,xmm1,xmm2,xmm3,xmm4,xmm5,xmm6,xmm7*/ \ + 1, 1, 1, 1, 1, 1, 6, 6, \ +/* mm0, mm1, mm2, mm3, mm4, mm5, mm6, mm7*/ \ + 1, 1, 1, 1, 1, 1, 1, 1, \ +/* r8, r9, r10, r11, r12, r13, r14, r15*/ \ + 1, 1, 1, 1, 2, 2, 2, 2, \ +/*xmm8,xmm9,xmm10,xmm11,xmm12,xmm13,xmm14,xmm15*/ \ + 6, 6, 6, 6, 6, 6, 6, 6, \ +/*xmm16,xmm17,xmm18,xmm19,xmm20,xmm21,xmm22,xmm23*/ \ + 6, 6, 6, 6, 6, 6, 6, 6, \ +/*xmm24,xmm25,xmm26,xmm27,xmm28,xmm29,xmm30,xmm31*/ \ + 6, 6, 6, 6, 6, 6, 6, 6, \ + /* k0, k1, k2, k3, k4, k5, k6, k7*/ \ + 1, 1, 1, 1, 1, 1, 1, 1, \ +/* b0, b1, b2, b3*/ \ + 1, 1, 1, 1 } + +/* Order in which to allocate registers. Each register must be + listed once, even those in FIXED_REGISTERS. List frame pointer + late and fixed registers last. Note that, in general, we prefer + registers listed in CALL_USED_REGISTERS, keeping the others + available for storage of persistent values. + + The ADJUST_REG_ALLOC_ORDER actually overwrite the order, + so this is just empty initializer for array. */ + +#define REG_ALLOC_ORDER \ +{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,\ + 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, \ + 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, \ + 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, \ + 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, \ + 78, 79, 80 } + +/* ADJUST_REG_ALLOC_ORDER is a macro which permits reg_alloc_order + to be rearranged based on a particular function. When using sse math, + we want to allocate SSE before x87 registers and vice versa. */ + +#define ADJUST_REG_ALLOC_ORDER x86_order_regs_for_local_alloc () + + +#define OVERRIDE_ABI_FORMAT(FNDECL) ix86_call_abi_override (FNDECL) + +/* Return number of consecutive hard regs needed starting at reg REGNO + to hold something of mode MODE. + This is ordinarily the length in words of a value of mode MODE + but can be less for certain modes in special long registers. + + Actually there are no two word move instructions for consecutive + registers. And only registers 0-3 may have mov byte instructions + applied to them. */ + +#define HARD_REGNO_NREGS(REGNO, MODE) \ + (STACK_REGNO_P (REGNO) || SSE_REGNO_P (REGNO) || MMX_REGNO_P (REGNO) \ + || MASK_REGNO_P (REGNO) || BND_REGNO_P (REGNO) \ + ? (COMPLEX_MODE_P (MODE) ? 2 : 1) \ + : ((MODE) == XFmode \ + ? (TARGET_64BIT ? 2 : 3) \ + : (MODE) == XCmode \ + ? (TARGET_64BIT ? 4 : 6) \ + : ((GET_MODE_SIZE (MODE) + UNITS_PER_WORD - 1) / UNITS_PER_WORD))) + +#define HARD_REGNO_NREGS_HAS_PADDING(REGNO, MODE) \ + ((TARGET_128BIT_LONG_DOUBLE && !TARGET_64BIT) \ + ? (STACK_REGNO_P (REGNO) || SSE_REGNO_P (REGNO) || MMX_REGNO_P (REGNO) \ + ? 0 \ + : ((MODE) == XFmode || (MODE) == XCmode)) \ + : 0) + +#define HARD_REGNO_NREGS_WITH_PADDING(REGNO, MODE) ((MODE) == XFmode ? 4 : 8) + +#define VALID_AVX256_REG_MODE(MODE) \ + ((MODE) == V32QImode || (MODE) == V16HImode || (MODE) == V8SImode \ + || (MODE) == V4DImode || (MODE) == V2TImode || (MODE) == V8SFmode \ + || (MODE) == V4DFmode) + +#define VALID_AVX256_REG_OR_OI_MODE(MODE) \ + (VALID_AVX256_REG_MODE (MODE) || (MODE) == OImode) + +#define VALID_AVX512F_SCALAR_MODE(MODE) \ + ((MODE) == DImode || (MODE) == DFmode || (MODE) == SImode \ + || (MODE) == SFmode) + +#define VALID_AVX512F_REG_MODE(MODE) \ + ((MODE) == V8DImode || (MODE) == V8DFmode || (MODE) == V64QImode \ + || (MODE) == V16SImode || (MODE) == V16SFmode || (MODE) == V32HImode \ + || (MODE) == V4TImode) + +#define VALID_AVX512VL_128_REG_MODE(MODE) \ + ((MODE) == V2DImode || (MODE) == V2DFmode || (MODE) == V16QImode \ + || (MODE) == V4SImode || (MODE) == V4SFmode || (MODE) == V8HImode) + +#define VALID_SSE2_REG_MODE(MODE) \ + ((MODE) == V16QImode || (MODE) == V8HImode || (MODE) == V2DFmode \ + || (MODE) == V2DImode || (MODE) == DFmode) + +#define VALID_SSE_REG_MODE(MODE) \ + ((MODE) == V1TImode || (MODE) == TImode \ + || (MODE) == V4SFmode || (MODE) == V4SImode \ + || (MODE) == SFmode || (MODE) == TFmode) + +#define VALID_MMX_REG_MODE_3DNOW(MODE) \ + ((MODE) == V2SFmode || (MODE) == SFmode) + +#define VALID_MMX_REG_MODE(MODE) \ + ((MODE == V1DImode) || (MODE) == DImode \ + || (MODE) == V2SImode || (MODE) == SImode \ + || (MODE) == V4HImode || (MODE) == V8QImode) + +#define VALID_BND_REG_MODE(MODE) \ + (TARGET_64BIT ? (MODE) == BND64mode : (MODE) == BND32mode) + +#define VALID_DFP_MODE_P(MODE) \ + ((MODE) == SDmode || (MODE) == DDmode || (MODE) == TDmode) + +#define VALID_FP_MODE_P(MODE) \ + ((MODE) == SFmode || (MODE) == DFmode || (MODE) == XFmode \ + || (MODE) == SCmode || (MODE) == DCmode || (MODE) == XCmode) \ + +#define VALID_INT_MODE_P(MODE) \ + ((MODE) == QImode || (MODE) == HImode || (MODE) == SImode \ + || (MODE) == DImode \ + || (MODE) == CQImode || (MODE) == CHImode || (MODE) == CSImode \ + || (MODE) == CDImode \ + || (TARGET_64BIT && ((MODE) == TImode || (MODE) == CTImode \ + || (MODE) == TFmode || (MODE) == TCmode))) + +/* Return true for modes passed in SSE registers. */ +#define SSE_REG_MODE_P(MODE) \ + ((MODE) == V1TImode || (MODE) == TImode || (MODE) == V16QImode \ + || (MODE) == TFmode || (MODE) == V8HImode || (MODE) == V2DFmode \ + || (MODE) == V2DImode || (MODE) == V4SFmode || (MODE) == V4SImode \ + || (MODE) == V32QImode || (MODE) == V16HImode || (MODE) == V8SImode \ + || (MODE) == V4DImode || (MODE) == V8SFmode || (MODE) == V4DFmode \ + || (MODE) == V2TImode || (MODE) == V8DImode || (MODE) == V64QImode \ + || (MODE) == V16SImode || (MODE) == V32HImode || (MODE) == V8DFmode \ + || (MODE) == V16SFmode) + +#define VALID_MASK_REG_MODE(MODE) ((MODE) == HImode || (MODE) == QImode) + +#define VALID_MASK_AVX512BW_MODE(MODE) ((MODE) == SImode || (MODE) == DImode) + +/* Value is 1 if hard register REGNO can hold a value of machine-mode MODE. */ + +#define HARD_REGNO_MODE_OK(REGNO, MODE) \ + ix86_hard_regno_mode_ok ((REGNO), (MODE)) + +/* Value is 1 if it is a good idea to tie two pseudo registers + when one has mode MODE1 and one has mode MODE2. + If HARD_REGNO_MODE_OK could produce different values for MODE1 and MODE2, + for any hard reg, then this must be 0 for correct output. */ + +#define MODES_TIEABLE_P(MODE1, MODE2) ix86_modes_tieable_p (MODE1, MODE2) + +/* It is possible to write patterns to move flags; but until someone + does it, */ +#define AVOID_CCMODE_COPIES + +/* Specify the modes required to caller save a given hard regno. + We do this on i386 to prevent flags from being saved at all. + + Kill any attempts to combine saving of modes. */ + +#define HARD_REGNO_CALLER_SAVE_MODE(REGNO, NREGS, MODE) \ + (CC_REGNO_P (REGNO) ? VOIDmode \ + : (MODE) == VOIDmode && (NREGS) != 1 ? VOIDmode \ + : (MODE) == VOIDmode ? choose_hard_reg_mode ((REGNO), (NREGS), false) \ + : (MODE) == HImode && !(TARGET_PARTIAL_REG_STALL \ + || MASK_REGNO_P (REGNO)) ? SImode \ + : (MODE) == QImode && !(TARGET_64BIT || QI_REGNO_P (REGNO) \ + || MASK_REGNO_P (REGNO)) ? SImode \ + : (MODE)) + +/* The only ABI that saves SSE registers across calls is Win64 (thus no + need to check the current ABI here), and with AVX enabled Win64 only + guarantees that the low 16 bytes are saved. */ +#define HARD_REGNO_CALL_PART_CLOBBERED(REGNO, MODE) \ + (SSE_REGNO_P (REGNO) && GET_MODE_SIZE (MODE) > 16) + +/* Specify the registers used for certain standard purposes. + The values of these macros are register numbers. */ + +/* on the 386 the pc register is %eip, and is not usable as a general + register. The ordinary mov instructions won't work */ +/* #define PC_REGNUM */ + +/* Register to use for pushing function arguments. */ +#define STACK_POINTER_REGNUM 7 + +/* Base register for access to local variables of the function. */ +#define HARD_FRAME_POINTER_REGNUM 6 + +/* Base register for access to local variables of the function. */ +#define FRAME_POINTER_REGNUM 20 + +/* First floating point reg */ +#define FIRST_FLOAT_REG 8 + +/* First & last stack-like regs */ +#define FIRST_STACK_REG FIRST_FLOAT_REG +#define LAST_STACK_REG (FIRST_FLOAT_REG + 7) + +#define FIRST_SSE_REG (FRAME_POINTER_REGNUM + 1) +#define LAST_SSE_REG (FIRST_SSE_REG + 7) + +#define FIRST_MMX_REG (LAST_SSE_REG + 1) /*29*/ +#define LAST_MMX_REG (FIRST_MMX_REG + 7) + +#define FIRST_REX_INT_REG (LAST_MMX_REG + 1) /*37*/ +#define LAST_REX_INT_REG (FIRST_REX_INT_REG + 7) + +#define FIRST_REX_SSE_REG (LAST_REX_INT_REG + 1) /*45*/ +#define LAST_REX_SSE_REG (FIRST_REX_SSE_REG + 7) + +#define FIRST_EXT_REX_SSE_REG (LAST_REX_SSE_REG + 1) /*53*/ +#define LAST_EXT_REX_SSE_REG (FIRST_EXT_REX_SSE_REG + 15) /*68*/ + +#define FIRST_MASK_REG (LAST_EXT_REX_SSE_REG + 1) /*69*/ +#define LAST_MASK_REG (FIRST_MASK_REG + 7) /*76*/ + +#define FIRST_BND_REG (LAST_MASK_REG + 1) /*77*/ +#define LAST_BND_REG (FIRST_BND_REG + 3) /*80*/ + +/* Override this in other tm.h files to cope with various OS lossage + requiring a frame pointer. */ +#ifndef SUBTARGET_FRAME_POINTER_REQUIRED +#define SUBTARGET_FRAME_POINTER_REQUIRED 0 +#endif + +/* Make sure we can access arbitrary call frames. */ +#define SETUP_FRAME_ADDRESSES() ix86_setup_frame_addresses () + +/* Base register for access to arguments of the function. */ +#define ARG_POINTER_REGNUM 16 + +/* Register to hold the addressing base for position independent + code access to data items. We don't use PIC pointer for 64bit + mode. Define the regnum to dummy value to prevent gcc from + pessimizing code dealing with EBX. + + To avoid clobbering a call-saved register unnecessarily, we renumber + the pic register when possible. The change is visible after the + prologue has been emitted. */ + +#define REAL_PIC_OFFSET_TABLE_REGNUM (TARGET_64BIT ? R15_REG : BX_REG) + +#define PIC_OFFSET_TABLE_REGNUM \ + (ix86_use_pseudo_pic_reg () \ + ? (pic_offset_table_rtx \ + ? INVALID_REGNUM \ + : REAL_PIC_OFFSET_TABLE_REGNUM) \ + : INVALID_REGNUM) + +#define GOT_SYMBOL_NAME "_GLOBAL_OFFSET_TABLE_" + +/* This is overridden by . */ +#define MS_AGGREGATE_RETURN 0 + +#define KEEP_AGGREGATE_RETURN_POINTER 0 + +/* Define the classes of registers for register constraints in the + machine description. Also define ranges of constants. + + One of the classes must always be named ALL_REGS and include all hard regs. + If there is more than one class, another class must be named NO_REGS + and contain no registers. + + The name GENERAL_REGS must be the name of a class (or an alias for + another name such as ALL_REGS). This is the class of registers + that is allowed by "g" or "r" in a register constraint. + Also, registers outside this class are allocated only when + instructions express preferences for them. + + The classes must be numbered in nondecreasing order; that is, + a larger-numbered class must never be contained completely + in a smaller-numbered class. + + For any two classes, it is very desirable that there be another + class that represents their union. + + It might seem that class BREG is unnecessary, since no useful 386 + opcode needs reg %ebx. But some systems pass args to the OS in ebx, + and the "b" register constraint is useful in asms for syscalls. + + The flags, fpsr and fpcr registers are in no class. */ + +enum reg_class +{ + NO_REGS, + AREG, DREG, CREG, BREG, SIREG, DIREG, + AD_REGS, /* %eax/%edx for DImode */ + Q_REGS, /* %eax %ebx %ecx %edx */ + NON_Q_REGS, /* %esi %edi %ebp %esp */ + INDEX_REGS, /* %eax %ebx %ecx %edx %esi %edi %ebp */ + LEGACY_REGS, /* %eax %ebx %ecx %edx %esi %edi %ebp %esp */ + CLOBBERED_REGS, /* call-clobbered integer registers */ + GENERAL_REGS, /* %eax %ebx %ecx %edx %esi %edi %ebp %esp + %r8 %r9 %r10 %r11 %r12 %r13 %r14 %r15 */ + FP_TOP_REG, FP_SECOND_REG, /* %st(0) %st(1) */ + FLOAT_REGS, + SSE_FIRST_REG, + NO_REX_SSE_REGS, + SSE_REGS, + EVEX_SSE_REGS, + BND_REGS, + ALL_SSE_REGS, + MMX_REGS, + FP_TOP_SSE_REGS, + FP_SECOND_SSE_REGS, + FLOAT_SSE_REGS, + FLOAT_INT_REGS, + INT_SSE_REGS, + FLOAT_INT_SSE_REGS, + MASK_EVEX_REGS, + MASK_REGS, + ALL_REGS, LIM_REG_CLASSES +}; + +#define N_REG_CLASSES ((int) LIM_REG_CLASSES) + +#define INTEGER_CLASS_P(CLASS) \ + reg_class_subset_p ((CLASS), GENERAL_REGS) +#define FLOAT_CLASS_P(CLASS) \ + reg_class_subset_p ((CLASS), FLOAT_REGS) +#define SSE_CLASS_P(CLASS) \ + reg_class_subset_p ((CLASS), ALL_SSE_REGS) +#define MMX_CLASS_P(CLASS) \ + ((CLASS) == MMX_REGS) +#define MAYBE_INTEGER_CLASS_P(CLASS) \ + reg_classes_intersect_p ((CLASS), GENERAL_REGS) +#define MAYBE_FLOAT_CLASS_P(CLASS) \ + reg_classes_intersect_p ((CLASS), FLOAT_REGS) +#define MAYBE_SSE_CLASS_P(CLASS) \ + reg_classes_intersect_p ((CLASS), ALL_SSE_REGS) +#define MAYBE_MMX_CLASS_P(CLASS) \ + reg_classes_intersect_p ((CLASS), MMX_REGS) +#define MAYBE_MASK_CLASS_P(CLASS) \ + reg_classes_intersect_p ((CLASS), MASK_REGS) + +#define Q_CLASS_P(CLASS) \ + reg_class_subset_p ((CLASS), Q_REGS) + +#define MAYBE_NON_Q_CLASS_P(CLASS) \ + reg_classes_intersect_p ((CLASS), NON_Q_REGS) + +/* Give names of register classes as strings for dump file. */ + +#define REG_CLASS_NAMES \ +{ "NO_REGS", \ + "AREG", "DREG", "CREG", "BREG", \ + "SIREG", "DIREG", \ + "AD_REGS", \ + "Q_REGS", "NON_Q_REGS", \ + "INDEX_REGS", \ + "LEGACY_REGS", \ + "CLOBBERED_REGS", \ + "GENERAL_REGS", \ + "FP_TOP_REG", "FP_SECOND_REG", \ + "FLOAT_REGS", \ + "SSE_FIRST_REG", \ + "NO_REX_SSE_REGS", \ + "SSE_REGS", \ + "EVEX_SSE_REGS", \ + "BND_REGS", \ + "ALL_SSE_REGS", \ + "MMX_REGS", \ + "FP_TOP_SSE_REGS", \ + "FP_SECOND_SSE_REGS", \ + "FLOAT_SSE_REGS", \ + "FLOAT_INT_REGS", \ + "INT_SSE_REGS", \ + "FLOAT_INT_SSE_REGS", \ + "MASK_EVEX_REGS", \ + "MASK_REGS", \ + "ALL_REGS" } + +/* Define which registers fit in which classes. This is an initializer + for a vector of HARD_REG_SET of length N_REG_CLASSES. + + Note that CLOBBERED_REGS are calculated by + TARGET_CONDITIONAL_REGISTER_USAGE. */ + +#define REG_CLASS_CONTENTS \ +{ { 0x00, 0x0, 0x0 }, \ + { 0x01, 0x0, 0x0 }, /* AREG */ \ + { 0x02, 0x0, 0x0 }, /* DREG */ \ + { 0x04, 0x0, 0x0 }, /* CREG */ \ + { 0x08, 0x0, 0x0 }, /* BREG */ \ + { 0x10, 0x0, 0x0 }, /* SIREG */ \ + { 0x20, 0x0, 0x0 }, /* DIREG */ \ + { 0x03, 0x0, 0x0 }, /* AD_REGS */ \ + { 0x0f, 0x0, 0x0 }, /* Q_REGS */ \ + { 0x1100f0, 0x1fe0, 0x0 }, /* NON_Q_REGS */ \ + { 0x7f, 0x1fe0, 0x0 }, /* INDEX_REGS */ \ + { 0x1100ff, 0x0, 0x0 }, /* LEGACY_REGS */ \ + { 0x07, 0x0, 0x0 }, /* CLOBBERED_REGS */ \ + { 0x1100ff, 0x1fe0, 0x0 }, /* GENERAL_REGS */ \ + { 0x100, 0x0, 0x0 }, /* FP_TOP_REG */ \ + { 0x0200, 0x0, 0x0 }, /* FP_SECOND_REG */ \ + { 0xff00, 0x0, 0x0 }, /* FLOAT_REGS */ \ + { 0x200000, 0x0, 0x0 }, /* SSE_FIRST_REG */ \ +{ 0x1fe00000, 0x000000, 0x0 }, /* NO_REX_SSE_REGS */ \ +{ 0x1fe00000, 0x1fe000, 0x0 }, /* SSE_REGS */ \ + { 0x0,0xffe00000, 0x1f }, /* EVEX_SSE_REGS */ \ + { 0x0, 0x0,0x1e000 }, /* BND_REGS */ \ +{ 0x1fe00000,0xffffe000, 0x1f }, /* ALL_SSE_REGS */ \ +{ 0xe0000000, 0x1f, 0x0 }, /* MMX_REGS */ \ +{ 0x1fe00100,0xffffe000, 0x1f }, /* FP_TOP_SSE_REG */ \ +{ 0x1fe00200,0xffffe000, 0x1f }, /* FP_SECOND_SSE_REG */ \ +{ 0x1fe0ff00,0xffffe000, 0x1f }, /* FLOAT_SSE_REGS */ \ +{ 0x11ffff, 0x1fe0, 0x0 }, /* FLOAT_INT_REGS */ \ +{ 0x1ff100ff,0xffffffe0, 0x1f }, /* INT_SSE_REGS */ \ +{ 0x1ff1ffff,0xffffffe0, 0x1f }, /* FLOAT_INT_SSE_REGS */ \ + { 0x0, 0x0, 0x1fc0 }, /* MASK_EVEX_REGS */ \ + { 0x0, 0x0, 0x1fe0 }, /* MASK_REGS */ \ +{ 0xffffffff,0xffffffff,0x1ffff } \ +} + +/* The same information, inverted: + Return the class number of the smallest class containing + reg number REGNO. This could be a conditional expression + or could index an array. */ + +#define REGNO_REG_CLASS(REGNO) (regclass_map[REGNO]) + +/* When this hook returns true for MODE, the compiler allows + registers explicitly used in the rtl to be used as spill registers + but prevents the compiler from extending the lifetime of these + registers. */ +#define TARGET_SMALL_REGISTER_CLASSES_FOR_MODE_P hook_bool_mode_true + +#define QI_REG_P(X) (REG_P (X) && QI_REGNO_P (REGNO (X))) +#define QI_REGNO_P(N) IN_RANGE ((N), AX_REG, BX_REG) + +#define GENERAL_REG_P(X) \ + (REG_P (X) && GENERAL_REGNO_P (REGNO (X))) +#define GENERAL_REGNO_P(N) \ + (IN_RANGE ((N), AX_REG, SP_REG) || REX_INT_REGNO_P (N)) + +#define ANY_QI_REG_P(X) (REG_P (X) && ANY_QI_REGNO_P (REGNO (X))) +#define ANY_QI_REGNO_P(N) \ + (TARGET_64BIT ? GENERAL_REGNO_P (N) : QI_REGNO_P (N)) + +#define REX_INT_REG_P(X) (REG_P (X) && REX_INT_REGNO_P (REGNO (X))) +#define REX_INT_REGNO_P(N) \ + IN_RANGE ((N), FIRST_REX_INT_REG, LAST_REX_INT_REG) + +#define STACK_REG_P(X) (REG_P (X) && STACK_REGNO_P (REGNO (X))) +#define STACK_REGNO_P(N) IN_RANGE ((N), FIRST_STACK_REG, LAST_STACK_REG) + +#define ANY_FP_REG_P(X) (REG_P (X) && ANY_FP_REGNO_P (REGNO (X))) +#define ANY_FP_REGNO_P(N) (STACK_REGNO_P (N) || SSE_REGNO_P (N)) + +#define X87_FLOAT_MODE_P(MODE) \ + (TARGET_80387 && ((MODE) == SFmode || (MODE) == DFmode || (MODE) == XFmode)) + +#define SSE_REG_P(X) (REG_P (X) && SSE_REGNO_P (REGNO (X))) +#define SSE_REGNO_P(N) \ + (IN_RANGE ((N), FIRST_SSE_REG, LAST_SSE_REG) \ + || REX_SSE_REGNO_P (N) \ + || EXT_REX_SSE_REGNO_P (N)) + +#define REX_SSE_REGNO_P(N) \ + IN_RANGE ((N), FIRST_REX_SSE_REG, LAST_REX_SSE_REG) + +#define EXT_REX_SSE_REGNO_P(N) \ + IN_RANGE ((N), FIRST_EXT_REX_SSE_REG, LAST_EXT_REX_SSE_REG) + +#define SSE_REGNO(N) \ + ((N) < 8 ? FIRST_SSE_REG + (N) \ + : (N) <= LAST_REX_SSE_REG ? (FIRST_REX_SSE_REG + (N) - 8) \ + : (FIRST_EXT_REX_SSE_REG + (N) - 16)) + +#define MASK_REG_P(X) (REG_P (X) && MASK_REGNO_P (REGNO (X))) +#define MASK_REGNO_P(N) IN_RANGE ((N), FIRST_MASK_REG, LAST_MASK_REG) +#define ANY_MASK_REG_P(X) (REG_P (X) && MASK_REGNO_P (REGNO (X))) + +#define SSE_FLOAT_MODE_P(MODE) \ + ((TARGET_SSE && (MODE) == SFmode) || (TARGET_SSE2 && (MODE) == DFmode)) + +#define FMA4_VEC_FLOAT_MODE_P(MODE) \ + (TARGET_FMA4 && ((MODE) == V4SFmode || (MODE) == V2DFmode \ + || (MODE) == V8SFmode || (MODE) == V4DFmode)) + +#define MMX_REG_P(X) (REG_P (X) && MMX_REGNO_P (REGNO (X))) +#define MMX_REGNO_P(N) IN_RANGE ((N), FIRST_MMX_REG, LAST_MMX_REG) + +#define STACK_TOP_P(X) (REG_P (X) && REGNO (X) == FIRST_STACK_REG) + +#define CC_REG_P(X) (REG_P (X) && CC_REGNO_P (REGNO (X))) +#define CC_REGNO_P(X) ((X) == FLAGS_REG || (X) == FPSR_REG) + +#define BND_REGNO_P(N) IN_RANGE ((N), FIRST_BND_REG, LAST_BND_REG) +#define ANY_BND_REG_P(X) (REG_P (X) && BND_REGNO_P (REGNO (X))) + +/* The class value for index registers, and the one for base regs. */ + +#define INDEX_REG_CLASS INDEX_REGS +#define BASE_REG_CLASS GENERAL_REGS + +/* Place additional restrictions on the register class to use when it + is necessary to be able to hold a value of mode MODE in a reload + register for which class CLASS would ordinarily be used. + + We avoid classes containing registers from multiple units due to + the limitation in ix86_secondary_memory_needed. We limit these + classes to their "natural mode" single unit register class, depending + on the unit availability. + + Please note that reg_class_subset_p is not commutative, so these + conditions mean "... if (CLASS) includes ALL registers from the + register set." */ + +#define LIMIT_RELOAD_CLASS(MODE, CLASS) \ + (((MODE) == QImode && !TARGET_64BIT \ + && reg_class_subset_p (Q_REGS, (CLASS))) ? Q_REGS \ + : (((MODE) == SImode || (MODE) == DImode) \ + && reg_class_subset_p (GENERAL_REGS, (CLASS))) ? GENERAL_REGS \ + : (SSE_FLOAT_MODE_P (MODE) && TARGET_SSE_MATH \ + && reg_class_subset_p (SSE_REGS, (CLASS))) ? SSE_REGS \ + : (X87_FLOAT_MODE_P (MODE) \ + && reg_class_subset_p (FLOAT_REGS, (CLASS))) ? FLOAT_REGS \ + : (CLASS)) + +/* If we are copying between general and FP registers, we need a memory + location. The same is true for SSE and MMX registers. */ +#define SECONDARY_MEMORY_NEEDED(CLASS1, CLASS2, MODE) \ + ix86_secondary_memory_needed ((CLASS1), (CLASS2), (MODE), 1) + +/* Get_secondary_mem widens integral modes to BITS_PER_WORD. + There is no need to emit full 64 bit move on 64 bit targets + for integral modes that can be moved using 32 bit move. */ +#define SECONDARY_MEMORY_NEEDED_MODE(MODE) \ + (GET_MODE_BITSIZE (MODE) < 32 && INTEGRAL_MODE_P (MODE) \ + ? mode_for_size (32, GET_MODE_CLASS (MODE), 0) \ + : MODE) + +/* Return a class of registers that cannot change FROM mode to TO mode. */ + +#define CANNOT_CHANGE_MODE_CLASS(FROM, TO, CLASS) \ + ix86_cannot_change_mode_class (FROM, TO, CLASS) + +/* Stack layout; function entry, exit and calling. */ + +/* Define this if pushing a word on the stack + makes the stack pointer a smaller address. */ +#define STACK_GROWS_DOWNWARD + +/* Define this to nonzero if the nominal address of the stack frame + is at the high-address end of the local variables; + that is, each additional local variable allocated + goes at a more negative offset in the frame. */ +#define FRAME_GROWS_DOWNWARD 1 + +/* Offset within stack frame to start allocating local variables at. + If FRAME_GROWS_DOWNWARD, this is the offset to the END of the + first local allocated. Otherwise, it is the offset to the BEGINNING + of the first local allocated. */ +#define STARTING_FRAME_OFFSET 0 + +/* If we generate an insn to push BYTES bytes, this says how many the stack + pointer really advances by. On 386, we have pushw instruction that + decrements by exactly 2 no matter what the position was, there is no pushb. + + But as CIE data alignment factor on this arch is -4 for 32bit targets + and -8 for 64bit targets, we need to make sure all stack pointer adjustments + are in multiple of 4 for 32bit targets and 8 for 64bit targets. */ + +#define PUSH_ROUNDING(BYTES) \ + (((BYTES) + UNITS_PER_WORD - 1) & -UNITS_PER_WORD) + +/* If defined, the maximum amount of space required for outgoing arguments + will be computed and placed into the variable `crtl->outgoing_args_size'. + No space will be pushed onto the stack for each call; instead, the + function prologue should increase the stack frame size by this amount. + + In 32bit mode enabling argument accumulation results in about 5% code size + growth becuase move instructions are less compact than push. In 64bit + mode the difference is less drastic but visible. + + FIXME: Unlike earlier implementations, the size of unwind info seems to + actually grow with accumulation. Is that because accumulated args + unwind info became unnecesarily bloated? + + With the 64-bit MS ABI, we can generate correct code with or without + accumulated args, but because of OUTGOING_REG_PARM_STACK_SPACE the code + generated without accumulated args is terrible. + + If stack probes are required, the space used for large function + arguments on the stack must also be probed, so enable + -maccumulate-outgoing-args so this happens in the prologue. */ + +#define ACCUMULATE_OUTGOING_ARGS \ + ((TARGET_ACCUMULATE_OUTGOING_ARGS && optimize_function_for_speed_p (cfun)) \ + || TARGET_STACK_PROBE || TARGET_64BIT_MS_ABI) + +/* If defined, a C expression whose value is nonzero when we want to use PUSH + instructions to pass outgoing arguments. */ + +#define PUSH_ARGS (TARGET_PUSH_ARGS && !ACCUMULATE_OUTGOING_ARGS) + +/* We want the stack and args grow in opposite directions, even if + PUSH_ARGS is 0. */ +#define PUSH_ARGS_REVERSED 1 + +/* Offset of first parameter from the argument pointer register value. */ +#define FIRST_PARM_OFFSET(FNDECL) 0 + +/* Define this macro if functions should assume that stack space has been + allocated for arguments even when their values are passed in registers. + + The value of this macro is the size, in bytes, of the area reserved for + arguments passed in registers for the function represented by FNDECL. + + This space can be allocated by the caller, or be a part of the + machine-dependent stack frame: `OUTGOING_REG_PARM_STACK_SPACE' says + which. */ +#define REG_PARM_STACK_SPACE(FNDECL) ix86_reg_parm_stack_space (FNDECL) + +#define OUTGOING_REG_PARM_STACK_SPACE(FNTYPE) \ + (TARGET_64BIT && ix86_function_type_abi (FNTYPE) == MS_ABI) + +/* Define how to find the value returned by a library function + assuming the value has mode MODE. */ + +#define LIBCALL_VALUE(MODE) ix86_libcall_value (MODE) + +/* Define the size of the result block used for communication between + untyped_call and untyped_return. The block contains a DImode value + followed by the block used by fnsave and frstor. */ + +#define APPLY_RESULT_SIZE (8+108) + +/* 1 if N is a possible register number for function argument passing. */ +#define FUNCTION_ARG_REGNO_P(N) ix86_function_arg_regno_p (N) + +/* Define a data type for recording info about an argument list + during the scan of that argument list. This data type should + hold all necessary information about the function itself + and about the args processed so far, enough to enable macros + such as FUNCTION_ARG to determine where the next arg should go. */ + +typedef struct ix86_args { + int words; /* # words passed so far */ + int nregs; /* # registers available for passing */ + int regno; /* next available register number */ + int fastcall; /* fastcall or thiscall calling convention + is used */ + int sse_words; /* # sse words passed so far */ + int sse_nregs; /* # sse registers available for passing */ + int warn_avx512f; /* True when we want to warn + about AVX512F ABI. */ + int warn_avx; /* True when we want to warn about AVX ABI. */ + int warn_sse; /* True when we want to warn about SSE ABI. */ + int warn_mmx; /* True when we want to warn about MMX ABI. */ + int sse_regno; /* next available sse register number */ + int mmx_words; /* # mmx words passed so far */ + int mmx_nregs; /* # mmx registers available for passing */ + int mmx_regno; /* next available mmx register number */ + int maybe_vaarg; /* true for calls to possibly vardic fncts. */ + int caller; /* true if it is caller. */ + int float_in_sse; /* Set to 1 or 2 for 32bit targets if + SFmode/DFmode arguments should be passed + in SSE registers. Otherwise 0. */ + int bnd_regno; /* next available bnd register number */ + int bnds_in_bt; /* number of bounds expected in BT. */ + int force_bnd_pass; /* number of bounds expected for stdarg arg. */ + int stdarg; /* Set to 1 if function is stdarg. */ + enum calling_abi call_abi; /* Set to SYSV_ABI for sysv abi. Otherwise + MS_ABI for ms abi. */ + tree decl; /* Callee decl. */ +} CUMULATIVE_ARGS; + +/* Initialize a variable CUM of type CUMULATIVE_ARGS + for a call to a function whose data type is FNTYPE. + For a library call, FNTYPE is 0. */ + +#define INIT_CUMULATIVE_ARGS(CUM, FNTYPE, LIBNAME, FNDECL, N_NAMED_ARGS) \ + init_cumulative_args (&(CUM), (FNTYPE), (LIBNAME), (FNDECL), \ + (N_NAMED_ARGS) != -1) + +/* Output assembler code to FILE to increment profiler label # LABELNO + for profiling a function entry. */ + +#define FUNCTION_PROFILER(FILE, LABELNO) x86_function_profiler (FILE, LABELNO) + +#define MCOUNT_NAME "_mcount" + +#define MCOUNT_NAME_BEFORE_PROLOGUE "__fentry__" + +#define PROFILE_COUNT_REGISTER "edx" + +/* EXIT_IGNORE_STACK should be nonzero if, when returning from a function, + the stack pointer does not matter. The value is tested only in + functions that have frame pointers. + No definition is equivalent to always zero. */ +/* Note on the 386 it might be more efficient not to define this since + we have to restore it ourselves from the frame pointer, in order to + use pop */ + +#define EXIT_IGNORE_STACK 1 + +/* Output assembler code for a block containing the constant parts + of a trampoline, leaving space for the variable parts. */ + +/* On the 386, the trampoline contains two instructions: + mov #STATIC,ecx + jmp FUNCTION + The trampoline is generated entirely at runtime. The operand of JMP + is the address of FUNCTION relative to the instruction following the + JMP (which is 5 bytes long). */ + +/* Length in units of the trampoline for entering a nested function. */ + +#define TRAMPOLINE_SIZE (TARGET_64BIT ? 24 : 10) + +/* Definitions for register eliminations. + + This is an array of structures. Each structure initializes one pair + of eliminable registers. The "from" register number is given first, + followed by "to". Eliminations of the same "from" register are listed + in order of preference. + + There are two registers that can always be eliminated on the i386. + The frame pointer and the arg pointer can be replaced by either the + hard frame pointer or to the stack pointer, depending upon the + circumstances. The hard frame pointer is not used before reload and + so it is not eligible for elimination. */ + +#define ELIMINABLE_REGS \ +{{ ARG_POINTER_REGNUM, STACK_POINTER_REGNUM}, \ + { ARG_POINTER_REGNUM, HARD_FRAME_POINTER_REGNUM}, \ + { FRAME_POINTER_REGNUM, STACK_POINTER_REGNUM}, \ + { FRAME_POINTER_REGNUM, HARD_FRAME_POINTER_REGNUM}} \ + +/* Define the offset between two registers, one to be eliminated, and the other + its replacement, at the start of a routine. */ + +#define INITIAL_ELIMINATION_OFFSET(FROM, TO, OFFSET) \ + ((OFFSET) = ix86_initial_elimination_offset ((FROM), (TO))) + +/* Addressing modes, and classification of registers for them. */ + +/* Macros to check register numbers against specific register classes. */ + +/* These assume that REGNO is a hard or pseudo reg number. + They give nonzero only if REGNO is a hard reg of the suitable class + or a pseudo reg currently allocated to a suitable hard reg. + Since they use reg_renumber, they are safe only once reg_renumber + has been allocated, which happens in reginfo.c during register + allocation. */ + +#define REGNO_OK_FOR_INDEX_P(REGNO) \ + ((REGNO) < STACK_POINTER_REGNUM \ + || REX_INT_REGNO_P (REGNO) \ + || (unsigned) reg_renumber[(REGNO)] < STACK_POINTER_REGNUM \ + || REX_INT_REGNO_P ((unsigned) reg_renumber[(REGNO)])) + +#define REGNO_OK_FOR_BASE_P(REGNO) \ + (GENERAL_REGNO_P (REGNO) \ + || (REGNO) == ARG_POINTER_REGNUM \ + || (REGNO) == FRAME_POINTER_REGNUM \ + || GENERAL_REGNO_P ((unsigned) reg_renumber[(REGNO)])) + +/* The macros REG_OK_FOR..._P assume that the arg is a REG rtx + and check its validity for a certain class. + We have two alternate definitions for each of them. + The usual definition accepts all pseudo regs; the other rejects + them unless they have been allocated suitable hard regs. + The symbol REG_OK_STRICT causes the latter definition to be used. + + Most source files want to accept pseudo regs in the hope that + they will get allocated to the class that the insn wants them to be in. + Source files for reload pass need to be strict. + After reload, it makes no difference, since pseudo regs have + been eliminated by then. */ + + +/* Non strict versions, pseudos are ok. */ +#define REG_OK_FOR_INDEX_NONSTRICT_P(X) \ + (REGNO (X) < STACK_POINTER_REGNUM \ + || REX_INT_REGNO_P (REGNO (X)) \ + || REGNO (X) >= FIRST_PSEUDO_REGISTER) + +#define REG_OK_FOR_BASE_NONSTRICT_P(X) \ + (GENERAL_REGNO_P (REGNO (X)) \ + || REGNO (X) == ARG_POINTER_REGNUM \ + || REGNO (X) == FRAME_POINTER_REGNUM \ + || REGNO (X) >= FIRST_PSEUDO_REGISTER) + +/* Strict versions, hard registers only */ +#define REG_OK_FOR_INDEX_STRICT_P(X) REGNO_OK_FOR_INDEX_P (REGNO (X)) +#define REG_OK_FOR_BASE_STRICT_P(X) REGNO_OK_FOR_BASE_P (REGNO (X)) + +#ifndef REG_OK_STRICT +#define REG_OK_FOR_INDEX_P(X) REG_OK_FOR_INDEX_NONSTRICT_P (X) +#define REG_OK_FOR_BASE_P(X) REG_OK_FOR_BASE_NONSTRICT_P (X) + +#else +#define REG_OK_FOR_INDEX_P(X) REG_OK_FOR_INDEX_STRICT_P (X) +#define REG_OK_FOR_BASE_P(X) REG_OK_FOR_BASE_STRICT_P (X) +#endif + +/* TARGET_LEGITIMATE_ADDRESS_P recognizes an RTL expression + that is a valid memory address for an instruction. + The MODE argument is the machine mode for the MEM expression + that wants to use this address. + + The other macros defined here are used only in TARGET_LEGITIMATE_ADDRESS_P, + except for CONSTANT_ADDRESS_P which is usually machine-independent. + + See legitimize_pic_address in i386.c for details as to what + constitutes a legitimate address when -fpic is used. */ + +#define MAX_REGS_PER_ADDRESS 2 + +#define CONSTANT_ADDRESS_P(X) constant_address_p (X) + +/* Try a machine-dependent way of reloading an illegitimate address + operand. If we find one, push the reload and jump to WIN. This + macro is used in only one place: `find_reloads_address' in reload.c. */ + +#define LEGITIMIZE_RELOAD_ADDRESS(X, MODE, OPNUM, TYPE, INDL, WIN) \ +do { \ + if (ix86_legitimize_reload_address ((X), (MODE), (OPNUM), \ + (int)(TYPE), (INDL))) \ + goto WIN; \ +} while (0) + +/* If defined, a C expression to determine the base term of address X. + This macro is used in only one place: `find_base_term' in alias.c. + + It is always safe for this macro to not be defined. It exists so + that alias analysis can understand machine-dependent addresses. + + The typical use of this macro is to handle addresses containing + a label_ref or symbol_ref within an UNSPEC. */ + +#define FIND_BASE_TERM(X) ix86_find_base_term (X) + +/* Nonzero if the constant value X is a legitimate general operand + when generating PIC code. It is given that flag_pic is on and + that X satisfies CONSTANT_P or is a CONST_DOUBLE. */ + +#define LEGITIMATE_PIC_OPERAND_P(X) legitimate_pic_operand_p (X) + +#define SYMBOLIC_CONST(X) \ + (GET_CODE (X) == SYMBOL_REF \ + || GET_CODE (X) == LABEL_REF \ + || (GET_CODE (X) == CONST && symbolic_reference_mentioned_p (X))) + +/* Max number of args passed in registers. If this is more than 3, we will + have problems with ebx (register #4), since it is a caller save register and + is also used as the pic register in ELF. So for now, don't allow more than + 3 registers to be passed in registers. */ + +/* Abi specific values for REGPARM_MAX and SSE_REGPARM_MAX */ +#define X86_64_REGPARM_MAX 6 +#define X86_64_MS_REGPARM_MAX 4 + +#define X86_32_REGPARM_MAX 3 + +#define REGPARM_MAX \ + (TARGET_64BIT \ + ? (TARGET_64BIT_MS_ABI \ + ? X86_64_MS_REGPARM_MAX \ + : X86_64_REGPARM_MAX) \ + : X86_32_REGPARM_MAX) + +#define X86_64_SSE_REGPARM_MAX 8 +#define X86_64_MS_SSE_REGPARM_MAX 4 + +#define X86_32_SSE_REGPARM_MAX (TARGET_SSE ? (TARGET_MACHO ? 4 : 3) : 0) + +#define SSE_REGPARM_MAX \ + (TARGET_64BIT \ + ? (TARGET_64BIT_MS_ABI \ + ? X86_64_MS_SSE_REGPARM_MAX \ + : X86_64_SSE_REGPARM_MAX) \ + : X86_32_SSE_REGPARM_MAX) + +#define MMX_REGPARM_MAX (TARGET_64BIT ? 0 : (TARGET_MMX ? 3 : 0)) + +/* Specify the machine mode that this machine uses + for the index in the tablejump instruction. */ +#define CASE_VECTOR_MODE \ + (!TARGET_LP64 || (flag_pic && ix86_cmodel != CM_LARGE_PIC) ? SImode : DImode) + +/* Define this as 1 if `char' should by default be signed; else as 0. */ +#define DEFAULT_SIGNED_CHAR 1 + +/* Max number of bytes we can move from memory to memory + in one reasonably fast instruction. */ +#define MOVE_MAX 16 + +/* MOVE_MAX_PIECES is the number of bytes at a time which we can + move efficiently, as opposed to MOVE_MAX which is the maximum + number of bytes we can move with a single instruction. */ +#define MOVE_MAX_PIECES UNITS_PER_WORD + +/* If a memory-to-memory move would take MOVE_RATIO or more simple + move-instruction pairs, we will do a movmem or libcall instead. + Increasing the value will always make code faster, but eventually + incurs high cost in increased code size. + + If you don't define this, a reasonable default is used. */ + +#define MOVE_RATIO(speed) ((speed) ? ix86_cost->move_ratio : 3) + +/* If a clear memory operation would take CLEAR_RATIO or more simple + move-instruction sequences, we will do a clrmem or libcall instead. */ + +#define CLEAR_RATIO(speed) ((speed) ? MIN (6, ix86_cost->move_ratio) : 2) + +/* Define if shifts truncate the shift count which implies one can + omit a sign-extension or zero-extension of a shift count. + + On i386, shifts do truncate the count. But bit test instructions + take the modulo of the bit offset operand. */ + +/* #define SHIFT_COUNT_TRUNCATED */ + +/* Value is 1 if truncating an integer of INPREC bits to OUTPREC bits + is done just by pretending it is already truncated. */ +#define TRULY_NOOP_TRUNCATION(OUTPREC, INPREC) 1 + +/* A macro to update M and UNSIGNEDP when an object whose type is + TYPE and which has the specified mode and signedness is to be + stored in a register. This macro is only called when TYPE is a + scalar type. + + On i386 it is sometimes useful to promote HImode and QImode + quantities to SImode. The choice depends on target type. */ + +#define PROMOTE_MODE(MODE, UNSIGNEDP, TYPE) \ +do { \ + if (((MODE) == HImode && TARGET_PROMOTE_HI_REGS) \ + || ((MODE) == QImode && TARGET_PROMOTE_QI_REGS)) \ + (MODE) = SImode; \ +} while (0) + +/* Specify the machine mode that pointers have. + After generation of rtl, the compiler makes no further distinction + between pointers and any other objects of this machine mode. */ +#define Pmode (ix86_pmode == PMODE_DI ? DImode : SImode) + +/* Specify the machine mode that bounds have. */ +#define BNDmode (ix86_pmode == PMODE_DI ? BND64mode : BND32mode) + +/* A C expression whose value is zero if pointers that need to be extended + from being `POINTER_SIZE' bits wide to `Pmode' are sign-extended and + greater then zero if they are zero-extended and less then zero if the + ptr_extend instruction should be used. */ + +#define POINTERS_EXTEND_UNSIGNED 1 + +/* A function address in a call instruction + is a byte address (for indexing purposes) + so give the MEM rtx a byte's mode. */ +#define FUNCTION_MODE QImode + + +/* A C expression for the cost of a branch instruction. A value of 1 + is the default; other values are interpreted relative to that. */ + +#define BRANCH_COST(speed_p, predictable_p) \ + (!(speed_p) ? 2 : (predictable_p) ? 0 : ix86_branch_cost) + +/* An integer expression for the size in bits of the largest integer machine + mode that should actually be used. We allow pairs of registers. */ +#define MAX_FIXED_MODE_SIZE GET_MODE_BITSIZE (TARGET_64BIT ? TImode : DImode) + +/* Define this macro as a C expression which is nonzero if accessing + less than a word of memory (i.e. a `char' or a `short') is no + faster than accessing a word of memory, i.e., if such access + require more than one instruction or if there is no difference in + cost between byte and (aligned) word loads. + + When this macro is not defined, the compiler will access a field by + finding the smallest containing object; when it is defined, a + fullword load will be used if alignment permits. Unless bytes + accesses are faster than word accesses, using word accesses is + preferable since it may eliminate subsequent memory access if + subsequent accesses occur to other fields in the same word of the + structure, but to different bytes. */ + +#define SLOW_BYTE_ACCESS 0 + +/* Nonzero if access to memory by shorts is slow and undesirable. */ +#define SLOW_SHORT_ACCESS 0 + +/* Define this macro to be the value 1 if unaligned accesses have a + cost many times greater than aligned accesses, for example if they + are emulated in a trap handler. + + When this macro is nonzero, the compiler will act as if + `STRICT_ALIGNMENT' were nonzero when generating code for block + moves. This can cause significantly more instructions to be + produced. Therefore, do not set this macro nonzero if unaligned + accesses only add a cycle or two to the time for a memory access. + + If the value of this macro is always zero, it need not be defined. */ + +/* #define SLOW_UNALIGNED_ACCESS(MODE, ALIGN) 0 */ + +/* Define this macro if it is as good or better to call a constant + function address than to call an address kept in a register. + + Desirable on the 386 because a CALL with a constant address is + faster than one with a register address. */ + +#define NO_FUNCTION_CSE + +/* Given a comparison code (EQ, NE, etc.) and the first operand of a COMPARE, + return the mode to be used for the comparison. + + For floating-point equality comparisons, CCFPEQmode should be used. + VOIDmode should be used in all other cases. + + For integer comparisons against zero, reduce to CCNOmode or CCZmode if + possible, to allow for more combinations. */ + +#define SELECT_CC_MODE(OP, X, Y) ix86_cc_mode ((OP), (X), (Y)) + +/* Return nonzero if MODE implies a floating point inequality can be + reversed. */ + +#define REVERSIBLE_CC_MODE(MODE) 1 + +/* A C expression whose value is reversed condition code of the CODE for + comparison done in CC_MODE mode. */ +#define REVERSE_CONDITION(CODE, MODE) ix86_reverse_condition ((CODE), (MODE)) + + +/* Control the assembler format that we output, to the extent + this does not vary between assemblers. */ + +/* How to refer to registers in assembler output. + This sequence is indexed by compiler's hard-register-number (see above). */ + +/* In order to refer to the first 8 regs as 32-bit regs, prefix an "e". + For non floating point regs, the following are the HImode names. + + For float regs, the stack top is sometimes referred to as "%st(0)" + instead of just "%st". TARGET_PRINT_OPERAND handles this with the + "y" code. */ + +#define HI_REGISTER_NAMES \ +{"ax","dx","cx","bx","si","di","bp","sp", \ + "st","st(1)","st(2)","st(3)","st(4)","st(5)","st(6)","st(7)", \ + "argp", "flags", "fpsr", "fpcr", "frame", \ + "xmm0","xmm1","xmm2","xmm3","xmm4","xmm5","xmm6","xmm7", \ + "mm0", "mm1", "mm2", "mm3", "mm4", "mm5", "mm6", "mm7", \ + "r8", "r9", "r10", "r11", "r12", "r13", "r14", "r15", \ + "xmm8", "xmm9", "xmm10", "xmm11", "xmm12", "xmm13", "xmm14", "xmm15", \ + "xmm16", "xmm17", "xmm18", "xmm19", \ + "xmm20", "xmm21", "xmm22", "xmm23", \ + "xmm24", "xmm25", "xmm26", "xmm27", \ + "xmm28", "xmm29", "xmm30", "xmm31", \ + "k0", "k1", "k2", "k3", "k4", "k5", "k6", "k7", \ + "bnd0", "bnd1", "bnd2", "bnd3" } + +#define REGISTER_NAMES HI_REGISTER_NAMES + +/* Table of additional register names to use in user input. */ + +#define ADDITIONAL_REGISTER_NAMES \ +{ { "eax", 0 }, { "edx", 1 }, { "ecx", 2 }, { "ebx", 3 }, \ + { "esi", 4 }, { "edi", 5 }, { "ebp", 6 }, { "esp", 7 }, \ + { "rax", 0 }, { "rdx", 1 }, { "rcx", 2 }, { "rbx", 3 }, \ + { "rsi", 4 }, { "rdi", 5 }, { "rbp", 6 }, { "rsp", 7 }, \ + { "al", 0 }, { "dl", 1 }, { "cl", 2 }, { "bl", 3 }, \ + { "ah", 0 }, { "dh", 1 }, { "ch", 2 }, { "bh", 3 }, \ + { "ymm0", 21}, { "ymm1", 22}, { "ymm2", 23}, { "ymm3", 24}, \ + { "ymm4", 25}, { "ymm5", 26}, { "ymm6", 27}, { "ymm7", 28}, \ + { "ymm8", 45}, { "ymm9", 46}, { "ymm10", 47}, { "ymm11", 48}, \ + { "ymm12", 49}, { "ymm13", 50}, { "ymm14", 51}, { "ymm15", 52}, \ + { "ymm16", 53}, { "ymm17", 54}, { "ymm18", 55}, { "ymm19", 56}, \ + { "ymm20", 57}, { "ymm21", 58}, { "ymm22", 59}, { "ymm23", 60}, \ + { "ymm24", 61}, { "ymm25", 62}, { "ymm26", 63}, { "ymm27", 64}, \ + { "ymm28", 65}, { "ymm29", 66}, { "ymm30", 67}, { "ymm31", 68}, \ + { "zmm0", 21}, { "zmm1", 22}, { "zmm2", 23}, { "zmm3", 24}, \ + { "zmm4", 25}, { "zmm5", 26}, { "zmm6", 27}, { "zmm7", 28}, \ + { "zmm8", 45}, { "zmm9", 46}, { "zmm10", 47}, { "zmm11", 48}, \ + { "zmm12", 49}, { "zmm13", 50}, { "zmm14", 51}, { "zmm15", 52}, \ + { "zmm16", 53}, { "zmm17", 54}, { "zmm18", 55}, { "zmm19", 56}, \ + { "zmm20", 57}, { "zmm21", 58}, { "zmm22", 59}, { "zmm23", 60}, \ + { "zmm24", 61}, { "zmm25", 62}, { "zmm26", 63}, { "zmm27", 64}, \ + { "zmm28", 65}, { "zmm29", 66}, { "zmm30", 67}, { "zmm31", 68} } + +/* Note we are omitting these since currently I don't know how +to get gcc to use these, since they want the same but different +number as al, and ax. +*/ + +#define QI_REGISTER_NAMES \ +{"al", "dl", "cl", "bl", "sil", "dil", "bpl", "spl",} + +/* These parallel the array above, and can be used to access bits 8:15 + of regs 0 through 3. */ + +#define QI_HIGH_REGISTER_NAMES \ +{"ah", "dh", "ch", "bh", } + +/* How to renumber registers for dbx and gdb. */ + +#define DBX_REGISTER_NUMBER(N) \ + (TARGET_64BIT ? dbx64_register_map[(N)] : dbx_register_map[(N)]) + +extern int const dbx_register_map[FIRST_PSEUDO_REGISTER]; +extern int const dbx64_register_map[FIRST_PSEUDO_REGISTER]; +extern int const svr4_dbx_register_map[FIRST_PSEUDO_REGISTER]; + +extern int const x86_64_ms_sysv_extra_clobbered_registers[12]; + +/* Before the prologue, RA is at 0(%esp). */ +#define INCOMING_RETURN_ADDR_RTX \ + gen_rtx_MEM (VOIDmode, gen_rtx_REG (VOIDmode, STACK_POINTER_REGNUM)) + +/* After the prologue, RA is at -4(AP) in the current frame. */ +#define RETURN_ADDR_RTX(COUNT, FRAME) \ + ((COUNT) == 0 \ + ? gen_rtx_MEM (Pmode, plus_constant (Pmode, arg_pointer_rtx, \ + -UNITS_PER_WORD)) \ + : gen_rtx_MEM (Pmode, plus_constant (Pmode, FRAME, UNITS_PER_WORD))) + +/* PC is dbx register 8; let's use that column for RA. */ +#define DWARF_FRAME_RETURN_COLUMN (TARGET_64BIT ? 16 : 8) + +/* Before the prologue, the top of the frame is at 4(%esp). */ +#define INCOMING_FRAME_SP_OFFSET UNITS_PER_WORD + +/* Describe how we implement __builtin_eh_return. */ +#define EH_RETURN_DATA_REGNO(N) ((N) <= DX_REG ? (N) : INVALID_REGNUM) +#define EH_RETURN_STACKADJ_RTX gen_rtx_REG (Pmode, CX_REG) + + +/* Select a format to encode pointers in exception handling data. CODE + is 0 for data, 1 for code labels, 2 for function pointers. GLOBAL is + true if the symbol may be affected by dynamic relocations. + + ??? All x86 object file formats are capable of representing this. + After all, the relocation needed is the same as for the call insn. + Whether or not a particular assembler allows us to enter such, I + guess we'll have to see. */ +#define ASM_PREFERRED_EH_DATA_FORMAT(CODE, GLOBAL) \ + asm_preferred_eh_data_format ((CODE), (GLOBAL)) + +/* This is how to output an insn to push a register on the stack. + It need not be very fast code. */ + +#define ASM_OUTPUT_REG_PUSH(FILE, REGNO) \ +do { \ + if (TARGET_64BIT) \ + asm_fprintf ((FILE), "\tpush{q}\t%%r%s\n", \ + reg_names[(REGNO)] + (REX_INT_REGNO_P (REGNO) != 0)); \ + else \ + asm_fprintf ((FILE), "\tpush{l}\t%%e%s\n", reg_names[(REGNO)]); \ +} while (0) + +/* This is how to output an insn to pop a register from the stack. + It need not be very fast code. */ + +#define ASM_OUTPUT_REG_POP(FILE, REGNO) \ +do { \ + if (TARGET_64BIT) \ + asm_fprintf ((FILE), "\tpop{q}\t%%r%s\n", \ + reg_names[(REGNO)] + (REX_INT_REGNO_P (REGNO) != 0)); \ + else \ + asm_fprintf ((FILE), "\tpop{l}\t%%e%s\n", reg_names[(REGNO)]); \ +} while (0) + +/* This is how to output an element of a case-vector that is absolute. */ + +#define ASM_OUTPUT_ADDR_VEC_ELT(FILE, VALUE) \ + ix86_output_addr_vec_elt ((FILE), (VALUE)) + +/* This is how to output an element of a case-vector that is relative. */ + +#define ASM_OUTPUT_ADDR_DIFF_ELT(FILE, BODY, VALUE, REL) \ + ix86_output_addr_diff_elt ((FILE), (VALUE), (REL)) + +/* When we see %v, we will print the 'v' prefix if TARGET_AVX is true. */ + +#define ASM_OUTPUT_AVX_PREFIX(STREAM, PTR) \ +{ \ + if ((PTR)[0] == '%' && (PTR)[1] == 'v') \ + (PTR) += TARGET_AVX ? 1 : 2; \ +} + +/* A C statement or statements which output an assembler instruction + opcode to the stdio stream STREAM. The macro-operand PTR is a + variable of type `char *' which points to the opcode name in + its "internal" form--the form that is written in the machine + description. */ + +#define ASM_OUTPUT_OPCODE(STREAM, PTR) \ + ASM_OUTPUT_AVX_PREFIX ((STREAM), (PTR)) + +/* A C statement to output to the stdio stream FILE an assembler + command to pad the location counter to a multiple of 1<machine->stack_locals) +#define ix86_varargs_gpr_size (cfun->machine->varargs_gpr_size) +#define ix86_varargs_fpr_size (cfun->machine->varargs_fpr_size) +#define ix86_optimize_mode_switching (cfun->machine->optimize_mode_switching) +#define ix86_current_function_needs_cld (cfun->machine->needs_cld) +#define ix86_tls_descriptor_calls_expanded_in_cfun \ + (cfun->machine->tls_descriptor_call_expanded_p) +/* Since tls_descriptor_call_expanded is not cleared, even if all TLS + calls are optimized away, we try to detect cases in which it was + optimized away. Since such instructions (use (reg REG_SP)), we can + verify whether there's any such instruction live by testing that + REG_SP is live. */ +#define ix86_current_function_calls_tls_descriptor \ + (ix86_tls_descriptor_calls_expanded_in_cfun && df_regs_ever_live_p (SP_REG)) +#define ix86_static_chain_on_stack (cfun->machine->static_chain_on_stack) + +/* Control behavior of x86_file_start. */ +#define X86_FILE_START_VERSION_DIRECTIVE false +#define X86_FILE_START_FLTUSED false + +/* Flag to mark data that is in the large address area. */ +#define SYMBOL_FLAG_FAR_ADDR (SYMBOL_FLAG_MACH_DEP << 0) +#define SYMBOL_REF_FAR_ADDR_P(X) \ + ((SYMBOL_REF_FLAGS (X) & SYMBOL_FLAG_FAR_ADDR) != 0) + +/* Flags to mark dllimport/dllexport. Used by PE ports, but handy to + have defined always, to avoid ifdefing. */ +#define SYMBOL_FLAG_DLLIMPORT (SYMBOL_FLAG_MACH_DEP << 1) +#define SYMBOL_REF_DLLIMPORT_P(X) \ + ((SYMBOL_REF_FLAGS (X) & SYMBOL_FLAG_DLLIMPORT) != 0) + +#define SYMBOL_FLAG_DLLEXPORT (SYMBOL_FLAG_MACH_DEP << 2) +#define SYMBOL_REF_DLLEXPORT_P(X) \ + ((SYMBOL_REF_FLAGS (X) & SYMBOL_FLAG_DLLEXPORT) != 0) + +#define SYMBOL_FLAG_STUBVAR (SYMBOL_FLAG_MACH_DEP << 4) +#define SYMBOL_REF_STUBVAR_P(X) \ + ((SYMBOL_REF_FLAGS (X) & SYMBOL_FLAG_STUBVAR) != 0) + +extern void debug_ready_dispatch (void); +extern void debug_dispatch_window (int); + +/* The value at zero is only defined for the BMI instructions + LZCNT and TZCNT, not the BSR/BSF insns in the original isa. */ +#define CTZ_DEFINED_VALUE_AT_ZERO(MODE, VALUE) \ + ((VALUE) = GET_MODE_BITSIZE (MODE), TARGET_BMI ? 1 : 0) +#define CLZ_DEFINED_VALUE_AT_ZERO(MODE, VALUE) \ + ((VALUE) = GET_MODE_BITSIZE (MODE), TARGET_LZCNT ? 1 : 0) + + +/* Flags returned by ix86_get_callcvt (). */ +#define IX86_CALLCVT_CDECL 0x1 +#define IX86_CALLCVT_STDCALL 0x2 +#define IX86_CALLCVT_FASTCALL 0x4 +#define IX86_CALLCVT_THISCALL 0x8 +#define IX86_CALLCVT_REGPARM 0x10 +#define IX86_CALLCVT_SSEREGPARM 0x20 + +#define IX86_BASE_CALLCVT(FLAGS) \ + ((FLAGS) & (IX86_CALLCVT_CDECL | IX86_CALLCVT_STDCALL \ + | IX86_CALLCVT_FASTCALL | IX86_CALLCVT_THISCALL)) + +#define RECIP_MASK_NONE 0x00 +#define RECIP_MASK_DIV 0x01 +#define RECIP_MASK_SQRT 0x02 +#define RECIP_MASK_VEC_DIV 0x04 +#define RECIP_MASK_VEC_SQRT 0x08 +#define RECIP_MASK_ALL (RECIP_MASK_DIV | RECIP_MASK_SQRT \ + | RECIP_MASK_VEC_DIV | RECIP_MASK_VEC_SQRT) +#define RECIP_MASK_DEFAULT (RECIP_MASK_VEC_DIV | RECIP_MASK_VEC_SQRT) + +#define TARGET_RECIP_DIV ((recip_mask & RECIP_MASK_DIV) != 0) +#define TARGET_RECIP_SQRT ((recip_mask & RECIP_MASK_SQRT) != 0) +#define TARGET_RECIP_VEC_DIV ((recip_mask & RECIP_MASK_VEC_DIV) != 0) +#define TARGET_RECIP_VEC_SQRT ((recip_mask & RECIP_MASK_VEC_SQRT) != 0) + +#define IX86_HLE_ACQUIRE (1 << 16) +#define IX86_HLE_RELEASE (1 << 17) + +/* For switching between functions with different target attributes. */ +#define SWITCHABLE_TARGET 1 + +/* +Local variables: +version-control: t +End: +*/ diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/mingw-stdint.h b/contrib/toolchain/gcc/5x/gcc/config/i386/mingw-stdint.h new file mode 100644 index 0000000000..5fee1b62c2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/mingw-stdint.h @@ -0,0 +1,50 @@ +/* Definitions for types on systems using mingw. + Copyright (C) 2009-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +#define SIG_ATOMIC_TYPE "int" + +#define INT8_TYPE "signed char" +#define INT16_TYPE "short int" +#define INT32_TYPE "int" +#define INT64_TYPE "long long int" +#define UINT8_TYPE "unsigned char" +#define UINT16_TYPE "short unsigned int" +#define UINT32_TYPE "unsigned int" +#define UINT64_TYPE "long long unsigned int" + +#define INT_LEAST8_TYPE "signed char" +#define INT_LEAST16_TYPE "short int" +#define INT_LEAST32_TYPE "int" +#define INT_LEAST64_TYPE "long long int" +#define UINT_LEAST8_TYPE "unsigned char" +#define UINT_LEAST16_TYPE "short unsigned int" +#define UINT_LEAST32_TYPE "unsigned int" +#define UINT_LEAST64_TYPE "long long unsigned int" + +#define INT_FAST8_TYPE "signed char" +#define INT_FAST16_TYPE "short int" +#define INT_FAST32_TYPE "int" +#define INT_FAST64_TYPE "long long int" +#define UINT_FAST8_TYPE "unsigned char" +#define UINT_FAST16_TYPE "short unsigned int" +#define UINT_FAST32_TYPE "unsigned int" +#define UINT_FAST64_TYPE "long long unsigned int" + +#define INTPTR_TYPE (TARGET_64BIT ? "long long int" : "int") +#define UINTPTR_TYPE (TARGET_64BIT ? "long long unsigned int" : "unsigned int") diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/mingw32.h b/contrib/toolchain/gcc/5x/gcc/config/i386/mingw32.h new file mode 100644 index 0000000000..f1397614ed --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/mingw32.h @@ -0,0 +1,257 @@ +/* Operating system specific defines to be used when targeting GCC for + hosting on Windows32, using GNU tools and the Windows32 API Library. + Copyright (C) 1997-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +#undef DEFAULT_ABI +#define DEFAULT_ABI MS_ABI + +/* By default, target has a 80387, uses IEEE compatible arithmetic, + returns float values in the 387 and needs stack probes. + We also align doubles to 64-bits for MSVC default compatibility. + Additionally we enable MS_BITFIELD_LAYOUT by default. */ + +#undef TARGET_SUBTARGET_DEFAULT +#define TARGET_SUBTARGET_DEFAULT \ + (MASK_80387 | MASK_IEEE_FP | MASK_FLOAT_RETURNS \ + | MASK_STACK_PROBE | MASK_ALIGN_DOUBLE \ + | MASK_MS_BITFIELD_LAYOUT) + +/* See i386/crtdll.h for an alternative definition. _INTEGRAL_MAX_BITS + is for compatibility with native compiler. */ +#define EXTRA_OS_CPP_BUILTINS() \ + do \ + { \ + builtin_define ("__MSVCRT__"); \ + builtin_define ("__MINGW32__"); \ + builtin_define ("_WIN32"); \ + builtin_define_std ("WIN32"); \ + builtin_define_std ("WINNT"); \ + builtin_define_with_int_value ("_INTEGRAL_MAX_BITS", \ + TYPE_PRECISION (intmax_type_node));\ + if (TARGET_64BIT && ix86_abi == MS_ABI) \ + { \ + builtin_define ("__MINGW64__"); \ + builtin_define_std ("WIN64"); \ + builtin_define ("_WIN64"); \ + } \ + } \ + while (0) + +#ifndef TARGET_USE_PTHREAD_BY_DEFAULT +#define SPEC_PTHREAD1 "pthread" +#define SPEC_PTHREAD2 "!no-pthread" +#else +#define SPEC_PTHREAD1 "!no-pthread" +#define SPEC_PTHREAD2 "pthread" +#endif + +#undef SUB_LINK_ENTRY32 +#undef SUB_LINK_ENTRY64 +#define SUB_LINK_ENTRY32 "-e _DllMainCRTStartup@12" +#if defined(USE_MINGW64_LEADING_UNDERSCORES) +#define SUB_LINK_ENTRY64 "-e _DllMainCRTStartup" +#else +#define SUB_LINK_ENTRY64 "-e DllMainCRTStartup" +#endif + +#undef SUB_LINK_ENTRY +#if TARGET_64BIT_DEFAULT +#define SUB_LINK_ENTRY SUB_LINK_ENTRY64 +#else +#define SUB_LINK_ENTRY SUB_LINK_ENTRY32 +#endif + +#undef NATIVE_SYSTEM_HEADER_COMPONENT +#define NATIVE_SYSTEM_HEADER_COMPONENT "MINGW" + +#undef CPP_SPEC +#define CPP_SPEC "%{posix:-D_POSIX_SOURCE} %{mthreads:-D_MT} " \ + "%{" SPEC_PTHREAD1 ":-D_REENTRANT} " \ + "%{" SPEC_PTHREAD2 ": } " + +/* For Windows applications, include more libraries, but always include + kernel32. */ +#undef LIB_SPEC +#define LIB_SPEC "%{pg:-lgmon} %{" SPEC_PTHREAD1 ":-lpthread} " \ + "%{" SPEC_PTHREAD2 ": } " \ + "%{mwindows:-lgdi32 -lcomdlg32} " \ + "%{fvtable-verify=preinit:-lvtv -lpsapi; \ + fvtable-verify=std:-lvtv -lpsapi} " \ + "-ladvapi32 -lshell32 -luser32 -lkernel32" + +/* Weak symbols do not get resolved if using a Windows dll import lib. + Make the unwind registration references strong undefs. */ +#if DWARF2_UNWIND_INFO +/* DW2-unwind is just available for 32-bit mode. */ +#if TARGET_64BIT_DEFAULT +#error DW2 unwind is not available for 64-bit. +#endif +#define SHARED_LIBGCC_UNDEFS_SPEC \ + "%{shared-libgcc: -u ___register_frame_info -u ___deregister_frame_info}" +#else +#define SHARED_LIBGCC_UNDEFS_SPEC "" +#endif + +#undef SUBTARGET_EXTRA_SPECS +#define SUBTARGET_EXTRA_SPECS \ + { "shared_libgcc_undefs", SHARED_LIBGCC_UNDEFS_SPEC } + +#define LINK_SPEC "%{mwindows:--subsystem windows} \ + %{mconsole:--subsystem console} \ + %{shared: %{mdll: %eshared and mdll are not compatible}} \ + %{shared: --shared} %{mdll:--dll} \ + %{static:-Bstatic} %{!static:-Bdynamic} \ + %{shared|mdll: " SUB_LINK_ENTRY " --enable-auto-image-base} \ + %(shared_libgcc_undefs)" + +/* Include in the mingw32 libraries with libgcc */ +#ifdef ENABLE_SHARED_LIBGCC +#define SHARED_LIBGCC_SPEC " \ + %{static|static-libgcc:-lgcc -lgcc_eh} \ + %{!static: \ + %{!static-libgcc: \ + %{!shared: \ + %{!shared-libgcc:-lgcc -lgcc_eh} \ + %{shared-libgcc:-lgcc_s -lgcc} \ + } \ + %{shared:-lgcc_s -lgcc} \ + } \ + } " +#else +#define SHARED_LIBGCC_SPEC " -lgcc " +#endif +#undef REAL_LIBGCC_SPEC +#define REAL_LIBGCC_SPEC \ + "%{mthreads:-lmingwthrd} -lmingw32 \ + "SHARED_LIBGCC_SPEC" \ + -lmoldname -lmingwex -lmsvcrt" + +#undef STARTFILE_SPEC +#define STARTFILE_SPEC "%{shared|mdll:dllcrt2%O%s} \ + %{!shared:%{!mdll:crt2%O%s}} %{pg:gcrt2%O%s} \ + crtbegin.o%s \ + %{fvtable-verify=none:%s; \ + fvtable-verify=preinit:vtv_start.o%s; \ + fvtable-verify=std:vtv_start.o%s}" + +#undef ENDFILE_SPEC +#define ENDFILE_SPEC \ + "%{Ofast|ffast-math|funsafe-math-optimizations:crtfastmath.o%s} \ + %{!shared:%:if-exists(default-manifest.o%s)}\ + %{fvtable-verify=none:%s; \ + fvtable-verify=preinit:vtv_end.o%s; \ + fvtable-verify=std:vtv_end.o%s} \ + crtend.o%s" + +/* Override startfile prefix defaults. */ +#ifndef STANDARD_STARTFILE_PREFIX_1 +#define STANDARD_STARTFILE_PREFIX_1 "/mingw/lib/" +#endif +#ifndef STANDARD_STARTFILE_PREFIX_2 +#define STANDARD_STARTFILE_PREFIX_2 "" +#endif + +/* For native mingw-version we need to take care that NATIVE_SYSTEM_HEADER_DIR + macro contains POSIX-style path. See bug 52947. */ +#undef NATIVE_SYSTEM_HEADER_DIR +#define NATIVE_SYSTEM_HEADER_DIR "/mingw/include" + +/* Output STRING, a string representing a filename, to FILE. + We canonicalize it to be in Unix format (backslashes are replaced + forward slashes. */ +#undef OUTPUT_QUOTED_STRING +#define OUTPUT_QUOTED_STRING(FILE, STRING) \ +do { \ + const char *_string = (const char *) (STRING); \ + char c; \ + \ + putc ('\"', (FILE)); \ + \ + while ((c = *_string++) != 0) \ + { \ + if (c == '\\') \ + c = '/'; \ + \ + if (ISPRINT (c)) \ + { \ + if (c == '\"') \ + putc ('\\', (FILE)); \ + putc (c, (FILE)); \ + } \ + else \ + fprintf ((FILE), "\\%03o", (unsigned char) c); \ + } \ + \ + putc ('\"', (FILE)); \ +} while (0) + +/* Define as short unsigned for compatibility with MS runtime. */ +#undef WINT_TYPE +#define WINT_TYPE "short unsigned int" + +/* mingw32 uses the -mthreads option to enable thread support. */ +#undef GOMP_SELF_SPECS +#define GOMP_SELF_SPECS "%{fopenacc|fopenmp|ftree-parallelize-loops=*: " \ + "-mthreads -pthread}" +#undef GTM_SELF_SPECS +#define GTM_SELF_SPECS "%{fgnu-tm:-mthreads -pthread}" + +/* mingw32 atexit function is safe to use in shared libraries. Use it + to register C++ static destructors. */ +#define TARGET_CXX_USE_ATEXIT_FOR_CXA_ATEXIT hook_bool_void_true + +/* Contains a pointer to type target_ovr_attr defining the target specific + overrides of format attributes. See c-format.h for structure + definition. */ +#undef TARGET_OVERRIDES_FORMAT_ATTRIBUTES +#define TARGET_OVERRIDES_FORMAT_ATTRIBUTES mingw_format_attribute_overrides + +/* Specify the count of elements in TARGET_OVERRIDES_ATTRIBUTE. */ +#undef TARGET_OVERRIDES_FORMAT_ATTRIBUTES_COUNT +#define TARGET_OVERRIDES_FORMAT_ATTRIBUTES_COUNT 3 + +/* Custom initialization for warning -Wpedantic-ms-format for c-format. */ +#undef TARGET_OVERRIDES_FORMAT_INIT +#define TARGET_OVERRIDES_FORMAT_INIT msformat_init + +/* MS specific format attributes for ms_printf, ms_scanf, ms_strftime. */ +#undef TARGET_FORMAT_TYPES +#define TARGET_FORMAT_TYPES mingw_format_attributes + +#undef TARGET_N_FORMAT_TYPES +#define TARGET_N_FORMAT_TYPES 3 + +/* Let defaults.h definition of TARGET_USE_JCR_SECTION apply. */ +#undef TARGET_USE_JCR_SECTION + +#define HAVE_ENABLE_EXECUTE_STACK +#undef CHECK_EXECUTE_STACK_ENABLED +#define CHECK_EXECUTE_STACK_ENABLED flag_setstackexecutable + +/* This matches SHLIB_SONAME and SHLIB_SOVERSION in t-cygming. */ +/* This matches SHLIB_SONAME and SHLIB_SOVERSION in t-cygwin. */ +#if DWARF2_UNWIND_INFO +#define LIBGCC_EH_EXTN "_dw2" +#else +#define LIBGCC_EH_EXTN "_sjlj" +#endif +#define LIBGCC_SONAME "libgcc_s" LIBGCC_EH_EXTN "-1.dll" + +/* We should find a way to not have to update this manually. */ +#define LIBGCJ_SONAME "libgcj" /*LIBGCC_EH_EXTN*/ "-16.dll" diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/stringop.def b/contrib/toolchain/gcc/5x/gcc/config/i386/stringop.def new file mode 100644 index 0000000000..0d6a5fab67 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/stringop.def @@ -0,0 +1,37 @@ +/* Definitions for stringop strategy for IA-32. + Copyright (C) 2013-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the files COPYING3. If not, +see . */ + +DEF_ENUM +DEF_ALG (no_stringop, no_stringop) +DEF_ENUM +DEF_ALG (libcall, libcall) +DEF_ENUM +DEF_ALG (rep_prefix_1_byte, rep_byte) +DEF_ENUM +DEF_ALG (rep_prefix_4_byte, rep_4byte) +DEF_ENUM +DEF_ALG (rep_prefix_8_byte, rep_8byte) +DEF_ENUM +DEF_ALG (loop_1_byte, byte_loop) +DEF_ENUM +DEF_ALG (loop, loop) +DEF_ENUM +DEF_ALG (unrolled_loop, unrolled_loop) +DEF_ENUM +DEF_ALG (vector_loop, vector_loop) diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/unix.h b/contrib/toolchain/gcc/5x/gcc/config/i386/unix.h new file mode 100644 index 0000000000..3ccd031882 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/unix.h @@ -0,0 +1,80 @@ +/* Definitions for Unix assembler syntax for the Intel 80386. + Copyright (C) 1988-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file defines the aspects of assembler syntax + that are the same for all the i386 Unix systems + (though they may differ in non-Unix systems). */ + +/* Define macro used to output shift-double opcodes when the shift + count is in %cl. Some assemblers require %cl as an argument; + some don't. This macro controls what to do: by default, don't + print %cl. */ +#define SHIFT_DOUBLE_OMITS_COUNT 1 + +/* Define the syntax of pseudo-ops, labels and comments. */ + +/* String containing the assembler's comment-starter. + Note the trailing space is necessary in case the character + that immediately follows the comment is '*'. If this happens + and the space is not there the assembler will interpret this + as the start of a C-like slash-star comment and complain when + there is no terminator. */ + +#define ASM_COMMENT_START "/ " + +/* Output to assembler file text saying following lines + may contain character constants, extra white space, comments, etc. */ + +#define ASM_APP_ON "/APP\n" + +/* Output to assembler file text saying following lines + no longer contain unusual constructs. */ + +#define ASM_APP_OFF "/NO_APP\n" + +/* Output before read-only data. */ + +#define TEXT_SECTION_ASM_OP "\t.text" + +/* Output before writable (initialized) data. */ + +#define DATA_SECTION_ASM_OP "\t.data" + +/* Output before writable (uninitialized) data. */ + +#define BSS_SECTION_ASM_OP "\t.bss" + +/* Globalizing directive for a label. */ +#define GLOBAL_ASM_OP "\t.globl\t" + +/* By default, target has a 80387, uses IEEE compatible arithmetic, + and returns float values in the 387. */ +#undef TARGET_SUBTARGET_DEFAULT +#define TARGET_SUBTARGET_DEFAULT \ + (MASK_80387 | MASK_IEEE_FP | MASK_FLOAT_RETURNS) + +/* By default, 64-bit mode uses 128-bit long double. */ +#undef TARGET_SUBTARGET64_DEFAULT +#define TARGET_SUBTARGET64_DEFAULT \ + MASK_128BIT_LONG_DOUBLE diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/x86-tune.def b/contrib/toolchain/gcc/5x/gcc/config/i386/x86-tune.def new file mode 100644 index 0000000000..bb3209d6fc --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/x86-tune.def @@ -0,0 +1,544 @@ +/* Definitions of x86 tunable features. + Copyright (C) 2013-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Tuning for a given CPU XXXX consists of: + - adding new CPU into: + - adding PROCESSOR_XXX to processor_type (in i386.h) + - possibly adding XXX into CPU attribute in i386.md + - adding XXX to processor_alias_table (in i386.c) + - introducing ix86_XXX_cost in i386.c + - Stringop generation table can be build based on test_stringop + - script (once rest of tuning is complete) + - designing a scheduler model in + - XXXX.md file + - Updating ix86_issue_rate and ix86_adjust_cost in i386.md + - possibly updating ia32_multipass_dfa_lookahead, ix86_sched_reorder + and ix86_sched_init_global if those tricks are needed. + - Tunning the flags bellow. Those are split into sections and each + section is very roughly ordered by importance. */ + +/*****************************************************************************/ +/* Scheduling flags. */ +/*****************************************************************************/ + +/* X86_TUNE_SCHEDULE: Enable scheduling. */ +DEF_TUNE (X86_TUNE_SCHEDULE, "schedule", + m_PENT | m_PPRO | m_CORE_ALL | m_BONNELL | m_SILVERMONT | m_INTEL + | m_KNL | m_K6_GEODE | m_AMD_MULTIPLE | m_GENERIC) + +/* X86_TUNE_PARTIAL_REG_DEPENDENCY: Enable more register renaming + on modern chips. Preffer stores affecting whole integer register + over partial stores. For example preffer MOVZBL or MOVQ to load 8bit + value over movb. */ +DEF_TUNE (X86_TUNE_PARTIAL_REG_DEPENDENCY, "partial_reg_dependency", + m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT | m_INTEL + | m_KNL | m_AMD_MULTIPLE | m_GENERIC) + +/* X86_TUNE_SSE_PARTIAL_REG_DEPENDENCY: This knob promotes all store + destinations to be 128bit to allow register renaming on 128bit SSE units, + but usually results in one extra microop on 64bit SSE units. + Experimental results shows that disabling this option on P4 brings over 20% + SPECfp regression, while enabling it on K8 brings roughly 2.4% regression + that can be partly masked by careful scheduling of moves. */ +DEF_TUNE (X86_TUNE_SSE_PARTIAL_REG_DEPENDENCY, "sse_partial_reg_dependency", + m_PPRO | m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_AMDFAM10 + | m_BDVER | m_GENERIC) + +/* X86_TUNE_SSE_SPLIT_REGS: Set for machines where the type and dependencies + are resolved on SSE register parts instead of whole registers, so we may + maintain just lower part of scalar values in proper format leaving the + upper part undefined. */ +DEF_TUNE (X86_TUNE_SSE_SPLIT_REGS, "sse_split_regs", m_ATHLON_K8) + +/* X86_TUNE_PARTIAL_FLAG_REG_STALL: this flag disables use of of flags + set by instructions affecting just some flags (in particular shifts). + This is because Core2 resolves dependencies on whole flags register + and such sequences introduce false dependency on previous instruction + setting full flags. + + The flags does not affect generation of INC and DEC that is controlled + by X86_TUNE_USE_INCDEC. + + This flag may be dropped from generic once core2-corei5 machines are + rare enough. */ +DEF_TUNE (X86_TUNE_PARTIAL_FLAG_REG_STALL, "partial_flag_reg_stall", + m_CORE2 | m_GENERIC) + +/* X86_TUNE_MOVX: Enable to zero extend integer registers to avoid + partial dependencies. */ +DEF_TUNE (X86_TUNE_MOVX, "movx", + m_PPRO | m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT + | m_KNL | m_INTEL | m_GEODE | m_AMD_MULTIPLE | m_GENERIC) + +/* X86_TUNE_MEMORY_MISMATCH_STALL: Avoid partial stores that are followed by + full sized loads. */ +DEF_TUNE (X86_TUNE_MEMORY_MISMATCH_STALL, "memory_mismatch_stall", + m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT | m_INTEL + | m_KNL | m_AMD_MULTIPLE | m_GENERIC) + +/* X86_TUNE_FUSE_CMP_AND_BRANCH_32: Fuse compare with a subsequent + conditional jump instruction for 32 bit TARGET. + FIXME: revisit for generic. */ +DEF_TUNE (X86_TUNE_FUSE_CMP_AND_BRANCH_32, "fuse_cmp_and_branch_32", + m_CORE_ALL | m_BDVER) + +/* X86_TUNE_FUSE_CMP_AND_BRANCH_64: Fuse compare with a subsequent + conditional jump instruction for TARGET_64BIT. + FIXME: revisit for generic. */ +DEF_TUNE (X86_TUNE_FUSE_CMP_AND_BRANCH_64, "fuse_cmp_and_branch_64", + m_NEHALEM | m_SANDYBRIDGE | m_HASWELL | m_BDVER) + +/* X86_TUNE_FUSE_CMP_AND_BRANCH_SOFLAGS: Fuse compare with a + subsequent conditional jump instruction when the condition jump + check sign flag (SF) or overflow flag (OF). */ +DEF_TUNE (X86_TUNE_FUSE_CMP_AND_BRANCH_SOFLAGS, "fuse_cmp_and_branch_soflags", + m_NEHALEM | m_SANDYBRIDGE | m_HASWELL | m_BDVER) + +/* X86_TUNE_FUSE_ALU_AND_BRANCH: Fuse alu with a subsequent conditional + jump instruction when the alu instruction produces the CCFLAG consumed by + the conditional jump instruction. */ +DEF_TUNE (X86_TUNE_FUSE_ALU_AND_BRANCH, "fuse_alu_and_branch", + m_SANDYBRIDGE | m_HASWELL) + +/* X86_TUNE_REASSOC_INT_TO_PARALLEL: Try to produce parallel computations + during reassociation of integer computation. */ +DEF_TUNE (X86_TUNE_REASSOC_INT_TO_PARALLEL, "reassoc_int_to_parallel", + m_BONNELL) + +/* X86_TUNE_REASSOC_FP_TO_PARALLEL: Try to produce parallel computations + during reassociation of fp computation. */ +DEF_TUNE (X86_TUNE_REASSOC_FP_TO_PARALLEL, "reassoc_fp_to_parallel", + m_BONNELL | m_SILVERMONT | m_HASWELL | m_KNL |m_INTEL | m_BDVER1 + | m_BDVER2 | m_GENERIC) + +/*****************************************************************************/ +/* Function prologue, epilogue and function calling sequences. */ +/*****************************************************************************/ + +/* X86_TUNE_ACCUMULATE_OUTGOING_ARGS: Allocate stack space for outgoing + arguments in prologue/epilogue instead of separately for each call + by push/pop instructions. + This increase code size by about 5% in 32bit mode, less so in 64bit mode + because parameters are passed in registers. It is considerable + win for targets without stack engine that prevents multple push operations + to happen in parallel. + + FIXME: the flags is incorrectly enabled for amdfam10, Bulldozer, + Bobcat and Generic. This is because disabling it causes large + regression on mgrid due to IRA limitation leading to unecessary + use of the frame pointer in 32bit mode. */ +DEF_TUNE (X86_TUNE_ACCUMULATE_OUTGOING_ARGS, "accumulate_outgoing_args", + m_PPRO | m_P4_NOCONA | m_BONNELL | m_SILVERMONT | m_KNL | m_INTEL + | m_ATHLON_K8) + +/* X86_TUNE_PROLOGUE_USING_MOVE: Do not use push/pop in prologues that are + considered on critical path. */ +DEF_TUNE (X86_TUNE_PROLOGUE_USING_MOVE, "prologue_using_move", + m_PPRO | m_ATHLON_K8) + +/* X86_TUNE_PROLOGUE_USING_MOVE: Do not use push/pop in epilogues that are + considered on critical path. */ +DEF_TUNE (X86_TUNE_EPILOGUE_USING_MOVE, "epilogue_using_move", + m_PPRO | m_ATHLON_K8) + +/* X86_TUNE_USE_LEAVE: Use "leave" instruction in epilogues where it fits. */ +DEF_TUNE (X86_TUNE_USE_LEAVE, "use_leave", + m_386 | m_CORE_ALL | m_K6_GEODE | m_AMD_MULTIPLE | m_GENERIC) + +/* X86_TUNE_PUSH_MEMORY: Enable generation of "push mem" instructions. + Some chips, like 486 and Pentium works faster with separate load + and push instructions. */ +DEF_TUNE (X86_TUNE_PUSH_MEMORY, "push_memory", + m_386 | m_P4_NOCONA | m_CORE_ALL | m_K6_GEODE | m_AMD_MULTIPLE + | m_GENERIC) + +/* X86_TUNE_SINGLE_PUSH: Enable if single push insn is preferred + over esp subtraction. */ +DEF_TUNE (X86_TUNE_SINGLE_PUSH, "single_push", m_386 | m_486 | m_PENT + | m_K6_GEODE) + +/* X86_TUNE_DOUBLE_PUSH. Enable if double push insn is preferred + over esp subtraction. */ +DEF_TUNE (X86_TUNE_DOUBLE_PUSH, "double_push", m_PENT | m_K6_GEODE) + +/* X86_TUNE_SINGLE_POP: Enable if single pop insn is preferred + over esp addition. */ +DEF_TUNE (X86_TUNE_SINGLE_POP, "single_pop", m_386 | m_486 | m_PENT | m_PPRO) + +/* X86_TUNE_DOUBLE_POP: Enable if double pop insn is preferred + over esp addition. */ +DEF_TUNE (X86_TUNE_DOUBLE_POP, "double_pop", m_PENT) + +/*****************************************************************************/ +/* Branch predictor tuning */ +/*****************************************************************************/ + +/* X86_TUNE_PAD_SHORT_FUNCTION: Make every function to be at least 4 + instructions long. */ +DEF_TUNE (X86_TUNE_PAD_SHORT_FUNCTION, "pad_short_function", m_BONNELL) + +/* X86_TUNE_PAD_RETURNS: Place NOP before every RET that is a destination + of conditional jump or directly preceded by other jump instruction. + This is important for AND K8-AMDFAM10 because the branch prediction + architecture expect at most one jump per 2 byte window. Failing to + pad returns leads to misaligned return stack. */ +DEF_TUNE (X86_TUNE_PAD_RETURNS, "pad_returns", + m_ATHLON_K8 | m_AMDFAM10 | m_GENERIC) + +/* X86_TUNE_FOUR_JUMP_LIMIT: Some CPU cores are not able to predict more + than 4 branch instructions in the 16 byte window. */ +DEF_TUNE (X86_TUNE_FOUR_JUMP_LIMIT, "four_jump_limit", + m_PPRO | m_P4_NOCONA | m_BONNELL | m_SILVERMONT | m_KNL |m_INTEL | + m_ATHLON_K8 | m_AMDFAM10) + +/*****************************************************************************/ +/* Integer instruction selection tuning */ +/*****************************************************************************/ + +/* X86_TUNE_SOFTWARE_PREFETCHING_BENEFICIAL: Enable software prefetching + at -O3. For the moment, the prefetching seems badly tuned for Intel + chips. */ +DEF_TUNE (X86_TUNE_SOFTWARE_PREFETCHING_BENEFICIAL, "software_prefetching_beneficial", + m_K6_GEODE | m_AMD_MULTIPLE) + +/* X86_TUNE_LCP_STALL: Avoid an expensive length-changing prefix stall + on 16-bit immediate moves into memory on Core2 and Corei7. */ +DEF_TUNE (X86_TUNE_LCP_STALL, "lcp_stall", m_CORE_ALL | m_GENERIC) + +/* X86_TUNE_READ_MODIFY: Enable use of read-modify instructions such + as "add mem, reg". */ +DEF_TUNE (X86_TUNE_READ_MODIFY, "read_modify", ~(m_PENT | m_PPRO)) + +/* X86_TUNE_USE_INCDEC: Enable use of inc/dec instructions. */ +DEF_TUNE (X86_TUNE_USE_INCDEC, "use_incdec", + ~(m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT | m_INTEL + | m_KNL | m_GENERIC)) + +/* X86_TUNE_INTEGER_DFMODE_MOVES: Enable if integer moves are preferred + for DFmode copies */ +DEF_TUNE (X86_TUNE_INTEGER_DFMODE_MOVES, "integer_dfmode_moves", + ~(m_PPRO | m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT + | m_KNL | m_INTEL | m_GEODE | m_AMD_MULTIPLE | m_GENERIC)) + +/* X86_TUNE_OPT_AGU: Optimize for Address Generation Unit. This flag + will impact LEA instruction selection. */ +DEF_TUNE (X86_TUNE_OPT_AGU, "opt_agu", m_BONNELL | m_SILVERMONT | m_KNL + | m_INTEL) + +/* X86_TUNE_AVOID_LEA_FOR_ADDR: Avoid lea for address computation. */ +DEF_TUNE (X86_TUNE_AVOID_LEA_FOR_ADDR, "avoid_lea_for_addr", + m_BONNELL | m_SILVERMONT | m_KNL) + +/* X86_TUNE_SLOW_IMUL_IMM32_MEM: Imul of 32-bit constant and memory is + vector path on AMD machines. + FIXME: Do we need to enable this for core? */ +DEF_TUNE (X86_TUNE_SLOW_IMUL_IMM32_MEM, "slow_imul_imm32_mem", + m_K8 | m_AMDFAM10) + +/* X86_TUNE_SLOW_IMUL_IMM8: Imul of 8-bit constant is vector path on AMD + machines. + FIXME: Do we need to enable this for core? */ +DEF_TUNE (X86_TUNE_SLOW_IMUL_IMM8, "slow_imul_imm8", + m_K8 | m_AMDFAM10) + +/* X86_TUNE_AVOID_MEM_OPND_FOR_CMOVE: Try to avoid memory operands for + a conditional move. */ +DEF_TUNE (X86_TUNE_AVOID_MEM_OPND_FOR_CMOVE, "avoid_mem_opnd_for_cmove", + m_BONNELL | m_SILVERMONT | m_KNL | m_INTEL) + +/* X86_TUNE_SINGLE_STRINGOP: Enable use of single string operations, such + as MOVS and STOS (without a REP prefix) to move/set sequences of bytes. */ +DEF_TUNE (X86_TUNE_SINGLE_STRINGOP, "single_stringop", m_386 | m_P4_NOCONA) + +/* X86_TUNE_MISALIGNED_MOVE_STRING_PRO_EPILOGUES: Enable generation of + compact prologues and epilogues by issuing a misaligned moves. This + requires target to handle misaligned moves and partial memory stalls + reasonably well. + FIXME: This may actualy be a win on more targets than listed here. */ +DEF_TUNE (X86_TUNE_MISALIGNED_MOVE_STRING_PRO_EPILOGUES, + "misaligned_move_string_pro_epilogues", + m_386 | m_486 | m_CORE_ALL | m_AMD_MULTIPLE | m_GENERIC) + +/* X86_TUNE_USE_SAHF: Controls use of SAHF. */ +DEF_TUNE (X86_TUNE_USE_SAHF, "use_sahf", + m_PPRO | m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT + | m_KNL | m_INTEL | m_K6_GEODE | m_K8 | m_AMDFAM10 | m_BDVER + | m_BTVER | m_GENERIC) + +/* X86_TUNE_USE_CLTD: Controls use of CLTD and CTQO instructions. */ +DEF_TUNE (X86_TUNE_USE_CLTD, "use_cltd", + ~(m_PENT | m_BONNELL | m_SILVERMONT | m_KNL | m_INTEL | m_K6)) + +/* X86_TUNE_USE_BT: Enable use of BT (bit test) instructions. */ +DEF_TUNE (X86_TUNE_USE_BT, "use_bt", + m_CORE_ALL | m_BONNELL | m_SILVERMONT | m_KNL | m_INTEL + | m_AMD_MULTIPLE | m_GENERIC) + +/*****************************************************************************/ +/* 387 instruction selection tuning */ +/*****************************************************************************/ + +/* X86_TUNE_USE_HIMODE_FIOP: Enables use of x87 instructions with 16bit + integer operand. + FIXME: Why this is disabled for modern chips? */ +DEF_TUNE (X86_TUNE_USE_HIMODE_FIOP, "use_himode_fiop", + m_386 | m_486 | m_K6_GEODE) + +/* X86_TUNE_USE_SIMODE_FIOP: Enables use of x87 instructions with 32bit + integer operand. */ +DEF_TUNE (X86_TUNE_USE_SIMODE_FIOP, "use_simode_fiop", + ~(m_PENT | m_PPRO | m_CORE_ALL | m_BONNELL | m_SILVERMONT + | m_KNL | m_INTEL | m_AMD_MULTIPLE | m_GENERIC)) + +/* X86_TUNE_USE_FFREEP: Use freep instruction instead of fstp. */ +DEF_TUNE (X86_TUNE_USE_FFREEP, "use_ffreep", m_AMD_MULTIPLE) + +/* X86_TUNE_EXT_80387_CONSTANTS: Use fancy 80387 constants, such as PI. */ +DEF_TUNE (X86_TUNE_EXT_80387_CONSTANTS, "ext_80387_constants", + m_PPRO | m_P4_NOCONA | m_CORE_ALL | m_BONNELL | m_SILVERMONT + | m_KNL | m_INTEL | m_K6_GEODE | m_ATHLON_K8 | m_GENERIC) + +/*****************************************************************************/ +/* SSE instruction selection tuning */ +/*****************************************************************************/ + +/* X86_TUNE_VECTORIZE_DOUBLE: Enable double precision vector + instructions. */ +DEF_TUNE (X86_TUNE_VECTORIZE_DOUBLE, "vectorize_double", ~m_BONNELL) + +/* X86_TUNE_GENERAL_REGS_SSE_SPILL: Try to spill general regs to SSE + regs instead of memory. */ +DEF_TUNE (X86_TUNE_GENERAL_REGS_SSE_SPILL, "general_regs_sse_spill", + m_CORE_ALL) + +/* X86_TUNE_SSE_UNALIGNED_LOAD_OPTIMAL: Use movups for misaligned loads instead + of a sequence loading registers by parts. */ +DEF_TUNE (X86_TUNE_SSE_UNALIGNED_LOAD_OPTIMAL, "sse_unaligned_load_optimal", + m_NEHALEM | m_SANDYBRIDGE | m_HASWELL | m_AMDFAM10 | m_BDVER + | m_BTVER | m_SILVERMONT | m_KNL | m_INTEL | m_GENERIC) + +/* X86_TUNE_SSE_UNALIGNED_STORE_OPTIMAL: Use movups for misaligned stores instead + of a sequence loading registers by parts. */ +DEF_TUNE (X86_TUNE_SSE_UNALIGNED_STORE_OPTIMAL, "sse_unaligned_store_optimal", + m_NEHALEM | m_SANDYBRIDGE | m_HASWELL | m_BDVER | m_SILVERMONT + | m_KNL | m_INTEL | m_GENERIC) + +/* Use packed single precision instructions where posisble. I.e. movups instead + of movupd. */ +DEF_TUNE (X86_TUNE_SSE_PACKED_SINGLE_INSN_OPTIMAL, "sse_packed_single_insn_optimal", + m_BDVER) + +/* X86_TUNE_SSE_TYPELESS_STORES: Always movaps/movups for 128bit stores. */ +DEF_TUNE (X86_TUNE_SSE_TYPELESS_STORES, "sse_typeless_stores", + m_AMD_MULTIPLE | m_CORE_ALL | m_GENERIC) + +/* X86_TUNE_SSE_LOAD0_BY_PXOR: Always use pxor to load0 as opposed to + xorps/xorpd and other variants. */ +DEF_TUNE (X86_TUNE_SSE_LOAD0_BY_PXOR, "sse_load0_by_pxor", + m_PPRO | m_P4_NOCONA | m_CORE_ALL | m_BDVER | m_BTVER | m_GENERIC) + +/* X86_TUNE_INTER_UNIT_MOVES_TO_VEC: Enable moves in from integer + to SSE registers. If disabled, the moves will be done by storing + the value to memory and reloading. */ +DEF_TUNE (X86_TUNE_INTER_UNIT_MOVES_TO_VEC, "inter_unit_moves_to_vec", + ~(m_AMD_MULTIPLE | m_GENERIC)) + +/* X86_TUNE_INTER_UNIT_MOVES_TO_VEC: Enable moves in from SSE + to integer registers. If disabled, the moves will be done by storing + the value to memory and reloading. */ +DEF_TUNE (X86_TUNE_INTER_UNIT_MOVES_FROM_VEC, "inter_unit_moves_from_vec", + ~m_ATHLON_K8) + +/* X86_TUNE_INTER_UNIT_CONVERSIONS: Enable float<->integer conversions + to use both SSE and integer registers at a same time. + FIXME: revisit importance of this for generic. */ +DEF_TUNE (X86_TUNE_INTER_UNIT_CONVERSIONS, "inter_unit_conversions", + ~(m_AMDFAM10 | m_BDVER)) + +/* X86_TUNE_SPLIT_MEM_OPND_FOR_FP_CONVERTS: Try to split memory operand for + fp converts to destination register. */ +DEF_TUNE (X86_TUNE_SPLIT_MEM_OPND_FOR_FP_CONVERTS, "split_mem_opnd_for_fp_converts", + m_SILVERMONT | m_KNL | m_INTEL) + +/* X86_TUNE_USE_VECTOR_FP_CONVERTS: Prefer vector packed SSE conversion + from FP to FP. This form of instructions avoids partial write to the + destination. */ +DEF_TUNE (X86_TUNE_USE_VECTOR_FP_CONVERTS, "use_vector_fp_converts", + m_AMDFAM10) + +/* X86_TUNE_USE_VECTOR_CONVERTS: Prefer vector packed SSE conversion + from integer to FP. */ +DEF_TUNE (X86_TUNE_USE_VECTOR_CONVERTS, "use_vector_converts", m_AMDFAM10) + +/* X86_TUNE_SLOW_SHUFB: Indicates tunings with slow pshufb instruction. */ +DEF_TUNE (X86_TUNE_SLOW_PSHUFB, "slow_pshufb", + m_BONNELL | m_SILVERMONT | m_KNL | m_INTEL) + +/* X86_TUNE_VECTOR_PARALLEL_EXECUTION: Indicates tunings with ability to + execute 2 or more vector instructions in parallel. */ +DEF_TUNE (X86_TUNE_VECTOR_PARALLEL_EXECUTION, "vec_parallel", + m_NEHALEM | m_SANDYBRIDGE | m_HASWELL) + +/* X86_TUNE_AVOID_4BYTE_PREFIXES: Avoid instructions requiring 4+ bytes of prefixes. */ +DEF_TUNE (X86_TUNE_AVOID_4BYTE_PREFIXES, "avoid_4byte_prefixes", + m_SILVERMONT | m_INTEL) + +/*****************************************************************************/ +/* AVX instruction selection tuning (some of SSE flags affects AVX, too) */ +/*****************************************************************************/ + +/* X86_TUNE_AVX256_UNALIGNED_LOAD_OPTIMAL: if false, unaligned loads are + split. */ +DEF_TUNE (X86_TUNE_AVX256_UNALIGNED_LOAD_OPTIMAL, "256_unaligned_load_optimal", + ~(m_NEHALEM | m_SANDYBRIDGE | m_GENERIC)) + +/* X86_TUNE_AVX256_UNALIGNED_STORE_OPTIMAL: if false, unaligned stores are + split. */ +DEF_TUNE (X86_TUNE_AVX256_UNALIGNED_STORE_OPTIMAL, "256_unaligned_store_optimal", + ~(m_NEHALEM | m_SANDYBRIDGE | m_BDVER | m_GENERIC)) + +/* X86_TUNE_AVX128_OPTIMAL: Enable 128-bit AVX instruction generation for + the auto-vectorizer. */ +DEF_TUNE (X86_TUNE_AVX128_OPTIMAL, "avx128_optimal", m_BDVER | m_BTVER2) + +/*****************************************************************************/ +/* Historical relics: tuning flags that helps a specific old CPU designs */ +/*****************************************************************************/ + +/* X86_TUNE_DOUBLE_WITH_ADD: Use add instead of sal to double value in + an integer register. */ +DEF_TUNE (X86_TUNE_DOUBLE_WITH_ADD, "double_with_add", ~m_386) + +/* X86_TUNE_ALWAYS_FANCY_MATH_387: controls use of fancy 387 operations, + such as fsqrt, fprem, fsin, fcos, fsincos etc. + Should be enabled for all targets that always has coprocesor. */ +DEF_TUNE (X86_TUNE_ALWAYS_FANCY_MATH_387, "always_fancy_math_387", + ~(m_386 | m_486)) + +/* X86_TUNE_UNROLL_STRLEN: Produce (quite lame) unrolled sequence for + inline strlen. This affects only -minline-all-stringops mode. By + default we always dispatch to a library since our internal strlen + is bad. */ +DEF_TUNE (X86_TUNE_UNROLL_STRLEN, "unroll_strlen", ~m_386) + +/* X86_TUNE_SHIFT1: Enables use of short encoding of "sal reg" instead of + longer "sal $1, reg". */ +DEF_TUNE (X86_TUNE_SHIFT1, "shift1", ~m_486) + +/* X86_TUNE_ZERO_EXTEND_WITH_AND: Use AND instruction instead + of mozbl/movwl. */ +DEF_TUNE (X86_TUNE_ZERO_EXTEND_WITH_AND, "zero_extend_with_and", m_486 | m_PENT) + +/* X86_TUNE_PROMOTE_HIMODE_IMUL: Modern CPUs have same latency for HImode + and SImode multiply, but 386 and 486 do HImode multiply faster. */ +DEF_TUNE (X86_TUNE_PROMOTE_HIMODE_IMUL, "promote_himode_imul", + ~(m_386 | m_486)) + +/* X86_TUNE_FAST_PREFIX: Enable demoting some 32bit or 64bit arithmetic + into 16bit/8bit when resulting sequence is shorter. For example + for "and $-65536, reg" to 16bit store of 0. */ +DEF_TUNE (X86_TUNE_FAST_PREFIX, "fast_prefix", ~(m_386 | m_486 | m_PENT)) + +/* X86_TUNE_READ_MODIFY_WRITE: Enable use of read modify write instructions + such as "add $1, mem". */ +DEF_TUNE (X86_TUNE_READ_MODIFY_WRITE, "read_modify_write", ~m_PENT) + +/* X86_TUNE_MOVE_M1_VIA_OR: On pentiums, it is faster to load -1 via OR + than a MOV. */ +DEF_TUNE (X86_TUNE_MOVE_M1_VIA_OR, "move_m1_via_or", m_PENT) + +/* X86_TUNE_NOT_UNPAIRABLE: NOT is not pairable on Pentium, while XOR is, + but one byte longer. */ +DEF_TUNE (X86_TUNE_NOT_UNPAIRABLE, "not_unpairable", m_PENT) + +/* X86_TUNE_PARTIAL_REG_STALL: Pentium pro, unlike later chips, handled + use of partial registers by renaming. This improved performance of 16bit + code where upper halves of registers are not used. It also leads to + an penalty whenever a 16bit store is followed by 32bit use. This flag + disables production of such sequences in common cases. + See also X86_TUNE_HIMODE_MATH. + + In current implementation the partial register stalls are not eliminated + very well - they can be introduced via subregs synthesized by combine + and can happen in caller/callee saving sequences. */ +DEF_TUNE (X86_TUNE_PARTIAL_REG_STALL, "partial_reg_stall", m_PPRO) + +/* X86_TUNE_PROMOTE_QIMODE: When it is cheap, turn 8bit arithmetic to + corresponding 32bit arithmetic. */ +DEF_TUNE (X86_TUNE_PROMOTE_QIMODE, "promote_qimode", + ~m_PPRO) + +/* X86_TUNE_PROMOTE_HI_REGS: Same, but for 16bit artihmetic. Again we avoid + partial register stalls on PentiumPro targets. */ +DEF_TUNE (X86_TUNE_PROMOTE_HI_REGS, "promote_hi_regs", m_PPRO) + +/* X86_TUNE_HIMODE_MATH: Enable use of 16bit arithmetic. + On PPro this flag is meant to avoid partial register stalls. */ +DEF_TUNE (X86_TUNE_HIMODE_MATH, "himode_math", ~m_PPRO) + +/* X86_TUNE_SPLIT_LONG_MOVES: Avoid instructions moving immediates + directly to memory. */ +DEF_TUNE (X86_TUNE_SPLIT_LONG_MOVES, "split_long_moves", m_PPRO) + +/* X86_TUNE_USE_XCHGB: Use xchgb %rh,%rl instead of rolw/rorw $8,rx. */ +DEF_TUNE (X86_TUNE_USE_XCHGB, "use_xchgb", m_PENT4) + +/* X86_TUNE_USE_MOV0: Use "mov $0, reg" instead of "xor reg, reg" to clear + integer register. */ +DEF_TUNE (X86_TUNE_USE_MOV0, "use_mov0", m_K6) + +/* X86_TUNE_NOT_VECTORMODE: On AMD K6, NOT is vector decoded with memory + operand that cannot be represented using a modRM byte. The XOR + replacement is long decoded, so this split helps here as well. */ +DEF_TUNE (X86_TUNE_NOT_VECTORMODE, "not_vectormode", m_K6) + +/* X86_TUNE_AVOID_VECTOR_DECODE: Enable splitters that avoid vector decoded + forms of instructions on K8 targets. */ +DEF_TUNE (X86_TUNE_AVOID_VECTOR_DECODE, "avoid_vector_decode", + m_K8) + +/* X86_TUNE_AVOID_FALSE_DEP_FOR_BMI: Avoid false dependency + for bit-manipulation instructions. */ +DEF_TUNE (X86_TUNE_AVOID_FALSE_DEP_FOR_BMI, "avoid_false_dep_for_bmi", + m_SANDYBRIDGE | m_HASWELL | m_GENERIC) + +/*****************************************************************************/ +/* This never worked well before. */ +/*****************************************************************************/ + +/* X86_TUNE_BRANCH_PREDICTION_HINTS: Branch hints were put in P4 based + on simulation result. But after P4 was made, no performance benefit + was observed with branch hints. It also increases the code size. + As a result, icc never generates branch hints. */ +DEF_TUNE (X86_TUNE_BRANCH_PREDICTION_HINTS, "branch_prediction_hints", 0) + +/* X86_TUNE_QIMODE_MATH: Enable use of 8bit arithmetic. */ +DEF_TUNE (X86_TUNE_QIMODE_MATH, "qimode_math", ~0) + +/* X86_TUNE_PROMOTE_QI_REGS: This enables generic code that promotes all 8bit + arithmetic to 32bit via PROMOTE_MODE macro. This code generation scheme + is usually used for RISC targets. */ +DEF_TUNE (X86_TUNE_PROMOTE_QI_REGS, "promote_qi_regs", 0) + +/* X86_TUNE_ADJUST_UNROLL: This enables adjusting the unroll factor based + on hardware capabilities. Bdver3 hardware has a loop buffer which makes + unrolling small loop less important. For, such architectures we adjust + the unroll factor so that the unrolled loop fits the loop buffer. */ +DEF_TUNE (X86_TUNE_ADJUST_UNROLL, "adjust_unroll_factor", m_BDVER3 | m_BDVER4) diff --git a/contrib/toolchain/gcc/5x/gcc/config/i386/xm-mingw32.h b/contrib/toolchain/gcc/5x/gcc/config/i386/xm-mingw32.h new file mode 100644 index 0000000000..1247ac5ea8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/i386/xm-mingw32.h @@ -0,0 +1,31 @@ +/* Configuration for GCC for hosting on Windows32. + using GNU tools and the Windows32 API Library. + Copyright (C) 1997-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +#define HOST_EXECUTABLE_SUFFIX "" + +#undef PATH_SEPARATOR +#define PATH_SEPARATOR ';' + +/* This is the name of the null device on windows. */ +#define HOST_BIT_BUCKET "nul" + +/* The st_ino field of struct stat is always 0. */ +#define HOST_LACKS_INODE_NUMBERS + diff --git a/contrib/toolchain/gcc/5x/gcc/config/initfini-array.h b/contrib/toolchain/gcc/5x/gcc/config/initfini-array.h new file mode 100644 index 0000000000..06da397404 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/initfini-array.h @@ -0,0 +1,45 @@ +/* Definitions for ELF systems with .init_array/.fini_array section + support. + Copyright (C) 2011-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published + by the Free Software Foundation; either version 3, or (at your + option) any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#ifdef HAVE_INITFINI_ARRAY_SUPPORT + +#define USE_INITFINI_ARRAY + +#undef INIT_SECTION_ASM_OP +#undef FINI_SECTION_ASM_OP + +#undef INIT_ARRAY_SECTION_ASM_OP +#define INIT_ARRAY_SECTION_ASM_OP + +#undef FINI_ARRAY_SECTION_ASM_OP +#define FINI_ARRAY_SECTION_ASM_OP + +/* Use .init_array/.fini_array section for constructors and destructors. */ +#undef TARGET_ASM_CONSTRUCTOR +#define TARGET_ASM_CONSTRUCTOR default_elf_init_array_asm_out_constructor +#undef TARGET_ASM_DESTRUCTOR +#define TARGET_ASM_DESTRUCTOR default_elf_fini_array_asm_out_destructor + +#endif diff --git a/contrib/toolchain/gcc/5x/gcc/config/tm-dwarf2.h b/contrib/toolchain/gcc/5x/gcc/config/tm-dwarf2.h new file mode 100644 index 0000000000..d08646eccf --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/tm-dwarf2.h @@ -0,0 +1,4 @@ +/* Enable Dwarf2 debugging and make it the default */ +#define DWARF2_DEBUGGING_INFO 1 +#undef PREFERRED_DEBUGGING_TYPE +#define PREFERRED_DEBUGGING_TYPE DWARF2_DEBUG diff --git a/contrib/toolchain/gcc/5x/gcc/config/vxworks-dummy.h b/contrib/toolchain/gcc/5x/gcc/config/vxworks-dummy.h new file mode 100644 index 0000000000..2b5ddcccc7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/config/vxworks-dummy.h @@ -0,0 +1,40 @@ +/* Dummy definitions of VxWorks-related macros + Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* True if we're targeting VxWorks. */ +#ifndef TARGET_VXWORKS +#define TARGET_VXWORKS 0 +#endif + +/* True if generating code for a VxWorks RTP. */ +#ifndef TARGET_VXWORKS_RTP +#define TARGET_VXWORKS_RTP false +#endif + +/* The symbol that points to an RTP's table of GOTs. */ +#define VXWORKS_GOTT_BASE (gcc_unreachable (), "") + +/* The symbol that holds the index of the current module's GOT in + VXWORKS_GOTT_BASE. */ +#define VXWORKS_GOTT_INDEX (gcc_unreachable (), "") diff --git a/contrib/toolchain/gcc/5x/gcc/coretypes.h b/contrib/toolchain/gcc/5x/gcc/coretypes.h new file mode 100644 index 0000000000..0ee8633c72 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/coretypes.h @@ -0,0 +1,302 @@ +/* GCC core type declarations. + Copyright (C) 2002-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Provide forward declarations of core types which are referred to by + most of the compiler. This allows header files to use these types + (e.g. in function prototypes) without concern for whether the full + definitions are visible. Some other declarations that need to be + universally visible are here, too. + + In the context of tconfig.h, most of these have special definitions + which prevent them from being used except in further type + declarations. This is a kludge; the right thing is to avoid + including the "tm.h" header set in the context of tconfig.h, but + we're not there yet. */ + +#ifndef GCC_CORETYPES_H +#define GCC_CORETYPES_H + +#ifndef GTY +#define GTY(x) /* nothing - marker for gengtype */ +#endif + +#ifndef USED_FOR_TARGET + +typedef int64_t gcov_type; +typedef uint64_t gcov_type_unsigned; + +struct bitmap_head; +typedef struct bitmap_head *bitmap; +typedef const struct bitmap_head *const_bitmap; +struct simple_bitmap_def; +typedef struct simple_bitmap_def *sbitmap; +typedef const struct simple_bitmap_def *const_sbitmap; +struct rtx_def; +typedef struct rtx_def *rtx; +typedef const struct rtx_def *const_rtx; + +/* Subclasses of rtx_def, using indentation to show the class + hierarchy, along with the relevant invariant. + Where possible, keep this list in the same order as in rtl.def. */ +class rtx_def; + class rtx_expr_list; /* GET_CODE (X) == EXPR_LIST */ + class rtx_insn_list; /* GET_CODE (X) == INSN_LIST */ + class rtx_sequence; /* GET_CODE (X) == SEQUENCE */ + class rtx_insn; + class rtx_debug_insn; /* DEBUG_INSN_P (X) */ + class rtx_nonjump_insn; /* NONJUMP_INSN_P (X) */ + class rtx_jump_insn; /* JUMP_P (X) */ + class rtx_call_insn; /* CALL_P (X) */ + class rtx_jump_table_data; /* JUMP_TABLE_DATA_P (X) */ + class rtx_barrier; /* BARRIER_P (X) */ + class rtx_code_label; /* LABEL_P (X) */ + class rtx_note; /* NOTE_P (X) */ + +struct rtvec_def; +typedef struct rtvec_def *rtvec; +typedef const struct rtvec_def *const_rtvec; +struct hwivec_def; +typedef struct hwivec_def *hwivec; +typedef const struct hwivec_def *const_hwivec; +union tree_node; +typedef union tree_node *tree; +typedef const union tree_node *const_tree; +typedef struct gimple_statement_base *gimple; +typedef const struct gimple_statement_base *const_gimple; +typedef gimple gimple_seq; +struct gimple_stmt_iterator; + +/* Forward decls for leaf gimple subclasses (for individual gimple codes). + Keep this in the same order as the corresponding codes in gimple.def. */ + +struct gcond; +struct gdebug; +struct ggoto; +struct glabel; +struct gswitch; +struct gassign; +struct gasm; +struct gcall; +struct gtransaction; +struct greturn; +struct gbind; +struct gcatch; +struct geh_filter; +struct geh_mnt; +struct geh_else; +struct gresx; +struct geh_dispatch; +struct gphi; +struct gtry; +struct gomp_atomic_load; +struct gomp_atomic_store; +struct gomp_continue; +struct gomp_critical; +struct gomp_for; +struct gomp_parallel; +struct gomp_task; +struct gomp_sections; +struct gomp_single; +struct gomp_target; +struct gomp_teams; + +union section; +typedef union section section; +struct gcc_options; +struct cl_target_option; +struct cl_optimization; +struct cl_option; +struct cl_decoded_option; +struct cl_option_handlers; +struct diagnostic_context; +struct pretty_printer; + +/* Address space number for named address space support. */ +typedef unsigned char addr_space_t; + +/* The value of addr_space_t that represents the generic address space. */ +#define ADDR_SPACE_GENERIC 0 +#define ADDR_SPACE_GENERIC_P(AS) ((AS) == ADDR_SPACE_GENERIC) + +/* The major intermediate representations of GCC. */ +enum ir_type { + IR_GIMPLE, + IR_RTL_CFGRTL, + IR_RTL_CFGLAYOUT +}; + +/* Provide forward struct declaration so that we don't have to include + all of cpplib.h whenever a random prototype includes a pointer. + Note that the cpp_reader and cpp_token typedefs remain part of + cpplib.h. */ + +struct cpp_reader; +struct cpp_token; + +/* The thread-local storage model associated with a given VAR_DECL + or SYMBOL_REF. This isn't used much, but both trees and RTL refer + to it, so it's here. */ +enum tls_model { + TLS_MODEL_NONE, + TLS_MODEL_EMULATED, + TLS_MODEL_REAL, + TLS_MODEL_GLOBAL_DYNAMIC = TLS_MODEL_REAL, + TLS_MODEL_LOCAL_DYNAMIC, + TLS_MODEL_INITIAL_EXEC, + TLS_MODEL_LOCAL_EXEC +}; + +/* Types of ABI for an offload compiler. */ +enum offload_abi { + OFFLOAD_ABI_UNSET, + OFFLOAD_ABI_LP64, + OFFLOAD_ABI_ILP32 +}; + +/* Types of unwind/exception handling info that can be generated. */ + +enum unwind_info_type +{ + UI_NONE, + UI_SJLJ, + UI_DWARF2, + UI_TARGET, + UI_SEH +}; + +/* Callgraph node profile representation. */ +enum node_frequency { + /* This function most likely won't be executed at all. + (set only when profile feedback is available or via function attribute). */ + NODE_FREQUENCY_UNLIKELY_EXECUTED, + /* For functions that are known to be executed once (i.e. constructors, destructors + and main function. */ + NODE_FREQUENCY_EXECUTED_ONCE, + /* The default value. */ + NODE_FREQUENCY_NORMAL, + /* Optimize this function hard + (set only when profile feedback is available or via function attribute). */ + NODE_FREQUENCY_HOT +}; + +/* Possible initialization status of a variable. When requested + by the user, this information is tracked and recorded in the DWARF + debug information, along with the variable's location. */ +enum var_init_status +{ + VAR_INIT_STATUS_UNKNOWN, + VAR_INIT_STATUS_UNINITIALIZED, + VAR_INIT_STATUS_INITIALIZED +}; + + +struct edge_def; +typedef struct edge_def *edge; +typedef const struct edge_def *const_edge; +struct basic_block_def; +typedef struct basic_block_def *basic_block; +typedef const struct basic_block_def *const_basic_block; + +#define obstack_chunk_alloc xmalloc +#define obstack_chunk_free free +#define OBSTACK_CHUNK_SIZE 0 +#define gcc_obstack_init(OBSTACK) \ + obstack_specify_allocation ((OBSTACK), OBSTACK_CHUNK_SIZE, 0, \ + obstack_chunk_alloc, \ + obstack_chunk_free) + +/* enum reg_class is target specific, so it should not appear in + target-independent code or interfaces, like the target hook declarations + in target.h. */ +typedef int reg_class_t; + +class rtl_opt_pass; + +namespace gcc { + class context; +} + +#else + +struct _dont_use_rtx_here_; +struct _dont_use_rtvec_here_; +struct _dont_use_rtx_insn_here_; +union _dont_use_tree_here_; +#define rtx struct _dont_use_rtx_here_ * +#define const_rtx struct _dont_use_rtx_here_ * +#define rtvec struct _dont_use_rtvec_here * +#define const_rtvec struct _dont_use_rtvec_here * +#define rtx_insn struct _dont_use_rtx_insn_here_ +#define tree union _dont_use_tree_here_ * +#define const_tree union _dont_use_tree_here_ * + +#endif + +/* Classes of functions that compiler needs to check + whether they are present at the runtime or not. */ +enum function_class { + function_c94, + function_c99_misc, + function_c99_math_complex, + function_sincos, + function_c11_misc +}; + +/* Suppose that higher bits are target dependent. */ +#define MEMMODEL_MASK ((1<<16)-1) + +/* Legacy sync operations set this upper flag in the memory model. This allows + targets that need to do something stronger for sync operations to + differentiate with their target patterns and issue a more appropriate insn + sequence. See bugzilla 65697 for background. */ +#define MEMMODEL_SYNC (1<<15) + +/* Memory model without SYNC bit for targets/operations that do not care. */ +#define MEMMODEL_BASE_MASK (MEMMODEL_SYNC-1) + +/* Memory model types for the __atomic* builtins. + This must match the order in libstdc++-v3/include/bits/atomic_base.h. */ +enum memmodel +{ + MEMMODEL_RELAXED = 0, + MEMMODEL_CONSUME = 1, + MEMMODEL_ACQUIRE = 2, + MEMMODEL_RELEASE = 3, + MEMMODEL_ACQ_REL = 4, + MEMMODEL_SEQ_CST = 5, + MEMMODEL_LAST = 6, + MEMMODEL_SYNC_ACQUIRE = MEMMODEL_ACQUIRE | MEMMODEL_SYNC, + MEMMODEL_SYNC_RELEASE = MEMMODEL_RELEASE | MEMMODEL_SYNC, + MEMMODEL_SYNC_SEQ_CST = MEMMODEL_SEQ_CST | MEMMODEL_SYNC +}; + +/* Support for user-provided GGC and PCH markers. The first parameter + is a pointer to a pointer, the second a cookie. */ +typedef void (*gt_pointer_operator) (void *, void *); + +#if !defined (HAVE_UCHAR) +typedef unsigned char uchar; +#endif + +#endif /* coretypes.h */ diff --git a/contrib/toolchain/gcc/5x/gcc/defaults.h b/contrib/toolchain/gcc/5x/gcc/defaults.h new file mode 100644 index 0000000000..1d5479895e --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/defaults.h @@ -0,0 +1,1364 @@ +/* Definitions of various defaults for tm.h macros. + Copyright (C) 1992-2015 Free Software Foundation, Inc. + Contributed by Ron Guilmette (rfg@monkeys.com) + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_DEFAULTS_H +#define GCC_DEFAULTS_H + +/* How to start an assembler comment. */ +#ifndef ASM_COMMENT_START +#define ASM_COMMENT_START ";#" +#endif + +/* Store in OUTPUT a string (made with alloca) containing an + assembler-name for a local static variable or function named NAME. + LABELNO is an integer which is different for each call. */ + +#ifndef ASM_PN_FORMAT +# ifndef NO_DOT_IN_LABEL +# define ASM_PN_FORMAT "%s.%lu" +# else +# ifndef NO_DOLLAR_IN_LABEL +# define ASM_PN_FORMAT "%s$%lu" +# else +# define ASM_PN_FORMAT "__%s_%lu" +# endif +# endif +#endif /* ! ASM_PN_FORMAT */ + +#ifndef ASM_FORMAT_PRIVATE_NAME +# define ASM_FORMAT_PRIVATE_NAME(OUTPUT, NAME, LABELNO) \ + do { const char *const name_ = (NAME); \ + char *const output_ = (OUTPUT) = \ + (char *) alloca (strlen (name_) + 32); \ + sprintf (output_, ASM_PN_FORMAT, name_, (unsigned long)(LABELNO)); \ + } while (0) +#endif + +/* Choose a reasonable default for ASM_OUTPUT_ASCII. */ + +#ifndef ASM_OUTPUT_ASCII +#define ASM_OUTPUT_ASCII(MYFILE, MYSTRING, MYLENGTH) \ + do { \ + FILE *_hide_asm_out_file = (MYFILE); \ + const unsigned char *_hide_p = (const unsigned char *) (MYSTRING); \ + int _hide_thissize = (MYLENGTH); \ + { \ + FILE *asm_out_file = _hide_asm_out_file; \ + const unsigned char *p = _hide_p; \ + int thissize = _hide_thissize; \ + int i; \ + fprintf (asm_out_file, "\t.ascii \""); \ + \ + for (i = 0; i < thissize; i++) \ + { \ + int c = p[i]; \ + if (c == '\"' || c == '\\') \ + putc ('\\', asm_out_file); \ + if (ISPRINT (c)) \ + putc (c, asm_out_file); \ + else \ + { \ + fprintf (asm_out_file, "\\%o", c); \ + /* After an octal-escape, if a digit follows, \ + terminate one string constant and start another. \ + The VAX assembler fails to stop reading the escape \ + after three digits, so this is the only way we \ + can get it to parse the data properly. */ \ + if (i < thissize - 1 && ISDIGIT (p[i + 1])) \ + fprintf (asm_out_file, "\"\n\t.ascii \""); \ + } \ + } \ + fprintf (asm_out_file, "\"\n"); \ + } \ + } \ + while (0) +#endif + +/* This is how we tell the assembler to equate two values. */ +#ifdef SET_ASM_OP +#ifndef ASM_OUTPUT_DEF +#define ASM_OUTPUT_DEF(FILE,LABEL1,LABEL2) \ + do { fprintf ((FILE), "%s", SET_ASM_OP); \ + assemble_name (FILE, LABEL1); \ + fprintf (FILE, ","); \ + assemble_name (FILE, LABEL2); \ + fprintf (FILE, "\n"); \ + } while (0) +#endif +#endif + +#ifndef IFUNC_ASM_TYPE +#define IFUNC_ASM_TYPE "gnu_indirect_function" +#endif + +#ifndef TLS_COMMON_ASM_OP +#define TLS_COMMON_ASM_OP ".tls_common" +#endif + +#if defined (HAVE_AS_TLS) && !defined (ASM_OUTPUT_TLS_COMMON) +#define ASM_OUTPUT_TLS_COMMON(FILE, DECL, NAME, SIZE) \ + do \ + { \ + fprintf ((FILE), "\t%s\t", TLS_COMMON_ASM_OP); \ + assemble_name ((FILE), (NAME)); \ + fprintf ((FILE), ","HOST_WIDE_INT_PRINT_UNSIGNED",%u\n", \ + (SIZE), DECL_ALIGN (DECL) / BITS_PER_UNIT); \ + } \ + while (0) +#endif + +/* Decide whether to defer emitting the assembler output for an equate + of two values. The default is to not defer output. */ +#ifndef TARGET_DEFERRED_OUTPUT_DEFS +#define TARGET_DEFERRED_OUTPUT_DEFS(DECL,TARGET) false +#endif + +/* This is how to output the definition of a user-level label named + NAME, such as the label on variable NAME. */ + +#ifndef ASM_OUTPUT_LABEL +#define ASM_OUTPUT_LABEL(FILE,NAME) \ + do { \ + assemble_name ((FILE), (NAME)); \ + fputs (":\n", (FILE)); \ + } while (0) +#endif + +/* This is how to output the definition of a user-level label named + NAME, such as the label on a function. */ + +#ifndef ASM_OUTPUT_FUNCTION_LABEL +#define ASM_OUTPUT_FUNCTION_LABEL(FILE, NAME, DECL) \ + ASM_OUTPUT_LABEL ((FILE), (NAME)) +#endif + +/* Output the definition of a compiler-generated label named NAME. */ +#ifndef ASM_OUTPUT_INTERNAL_LABEL +#define ASM_OUTPUT_INTERNAL_LABEL(FILE,NAME) \ + do { \ + assemble_name_raw ((FILE), (NAME)); \ + fputs (":\n", (FILE)); \ + } while (0) +#endif + +/* This is how to output a reference to a user-level label named NAME. */ + +#ifndef ASM_OUTPUT_LABELREF +#define ASM_OUTPUT_LABELREF(FILE,NAME) \ + do { \ + fputs (user_label_prefix, (FILE)); \ + fputs ((NAME), (FILE)); \ + } while (0); +#endif + +/* Allow target to print debug info labels specially. This is useful for + VLIW targets, since debug info labels should go into the middle of + instruction bundles instead of breaking them. */ + +#ifndef ASM_OUTPUT_DEBUG_LABEL +#define ASM_OUTPUT_DEBUG_LABEL(FILE, PREFIX, NUM) \ + (*targetm.asm_out.internal_label) (FILE, PREFIX, NUM) +#endif + +/* This is how we tell the assembler that a symbol is weak. */ +#ifndef ASM_OUTPUT_WEAK_ALIAS +#if defined (ASM_WEAKEN_LABEL) && defined (ASM_OUTPUT_DEF) +#define ASM_OUTPUT_WEAK_ALIAS(STREAM, NAME, VALUE) \ + do \ + { \ + ASM_WEAKEN_LABEL (STREAM, NAME); \ + if (VALUE) \ + ASM_OUTPUT_DEF (STREAM, NAME, VALUE); \ + } \ + while (0) +#endif +#endif + +/* This is how we tell the assembler that a symbol is a weak alias to + another symbol that doesn't require the other symbol to be defined. + Uses of the former will turn into weak uses of the latter, i.e., + uses that, in case the latter is undefined, will not cause errors, + and will add it to the symbol table as weak undefined. However, if + the latter is referenced directly, a strong reference prevails. */ +#ifndef ASM_OUTPUT_WEAKREF +#if defined HAVE_GAS_WEAKREF +#define ASM_OUTPUT_WEAKREF(FILE, DECL, NAME, VALUE) \ + do \ + { \ + fprintf ((FILE), "\t.weakref\t"); \ + assemble_name ((FILE), (NAME)); \ + fprintf ((FILE), ","); \ + assemble_name ((FILE), (VALUE)); \ + fprintf ((FILE), "\n"); \ + } \ + while (0) +#endif +#endif + +/* How to emit a .type directive. */ +#ifndef ASM_OUTPUT_TYPE_DIRECTIVE +#if defined TYPE_ASM_OP && defined TYPE_OPERAND_FMT +#define ASM_OUTPUT_TYPE_DIRECTIVE(STREAM, NAME, TYPE) \ + do \ + { \ + fputs (TYPE_ASM_OP, STREAM); \ + assemble_name (STREAM, NAME); \ + fputs (", ", STREAM); \ + fprintf (STREAM, TYPE_OPERAND_FMT, TYPE); \ + putc ('\n', STREAM); \ + } \ + while (0) +#endif +#endif + +/* How to emit a .size directive. */ +#ifndef ASM_OUTPUT_SIZE_DIRECTIVE +#ifdef SIZE_ASM_OP +#define ASM_OUTPUT_SIZE_DIRECTIVE(STREAM, NAME, SIZE) \ + do \ + { \ + HOST_WIDE_INT size_ = (SIZE); \ + fputs (SIZE_ASM_OP, STREAM); \ + assemble_name (STREAM, NAME); \ + fprintf (STREAM, ", " HOST_WIDE_INT_PRINT_DEC "\n", size_); \ + } \ + while (0) + +#define ASM_OUTPUT_MEASURED_SIZE(STREAM, NAME) \ + do \ + { \ + fputs (SIZE_ASM_OP, STREAM); \ + assemble_name (STREAM, NAME); \ + fputs (", .-", STREAM); \ + assemble_name (STREAM, NAME); \ + putc ('\n', STREAM); \ + } \ + while (0) + +#endif +#endif + +/* This determines whether or not we support weak symbols. SUPPORTS_WEAK + must be a preprocessor constant. */ +#ifndef SUPPORTS_WEAK +#if defined (ASM_WEAKEN_LABEL) || defined (ASM_WEAKEN_DECL) +#define SUPPORTS_WEAK 1 +#else +#define SUPPORTS_WEAK 0 +#endif +#endif + +/* This determines whether or not we support weak symbols during target + code generation. TARGET_SUPPORTS_WEAK can be any valid C expression. */ +#ifndef TARGET_SUPPORTS_WEAK +#define TARGET_SUPPORTS_WEAK (SUPPORTS_WEAK) +#endif + +/* This determines whether or not we support the discriminator + attribute in the .loc directive. */ +#ifndef SUPPORTS_DISCRIMINATOR +#ifdef HAVE_GAS_DISCRIMINATOR +#define SUPPORTS_DISCRIMINATOR 1 +#else +#define SUPPORTS_DISCRIMINATOR 0 +#endif +#endif + +/* This determines whether or not we support link-once semantics. */ +#ifndef SUPPORTS_ONE_ONLY +#ifdef MAKE_DECL_ONE_ONLY +#define SUPPORTS_ONE_ONLY 1 +#else +#define SUPPORTS_ONE_ONLY 0 +#endif +#endif + +/* This determines whether weak symbols must be left out of a static + archive's table of contents. Defining this macro to be nonzero has + the consequence that certain symbols will not be made weak that + otherwise would be. The C++ ABI requires this macro to be zero; + see the documentation. */ +#ifndef TARGET_WEAK_NOT_IN_ARCHIVE_TOC +#define TARGET_WEAK_NOT_IN_ARCHIVE_TOC 0 +#endif + +/* This determines whether or not we need linkonce unwind information. */ +#ifndef TARGET_USES_WEAK_UNWIND_INFO +#define TARGET_USES_WEAK_UNWIND_INFO 0 +#endif + +/* By default, there is no prefix on user-defined symbols. */ +#ifndef USER_LABEL_PREFIX +#define USER_LABEL_PREFIX "" +#endif + +/* If the target supports weak symbols, define TARGET_ATTRIBUTE_WEAK to + provide a weak attribute. Else define it to nothing. + + This would normally belong in ansidecl.h, but SUPPORTS_WEAK is + not available at that time. + + Note, this is only for use by target files which we know are to be + compiled by GCC. */ +#ifndef TARGET_ATTRIBUTE_WEAK +# if SUPPORTS_WEAK +# define TARGET_ATTRIBUTE_WEAK __attribute__ ((weak)) +# else +# define TARGET_ATTRIBUTE_WEAK +# endif +#endif + +/* By default we can assume that all global symbols are in one namespace, + across all shared libraries. */ +#ifndef MULTIPLE_SYMBOL_SPACES +# define MULTIPLE_SYMBOL_SPACES 0 +#endif + +/* If the target supports init_priority C++ attribute, give + SUPPORTS_INIT_PRIORITY a nonzero value. */ +#ifndef SUPPORTS_INIT_PRIORITY +#define SUPPORTS_INIT_PRIORITY 1 +#endif /* SUPPORTS_INIT_PRIORITY */ + +/* If we have a definition of INCOMING_RETURN_ADDR_RTX, assume that + the rest of the DWARF 2 frame unwind support is also provided. */ +#if !defined (DWARF2_UNWIND_INFO) && defined (INCOMING_RETURN_ADDR_RTX) +#define DWARF2_UNWIND_INFO 1 +#endif + +/* If we have named sections, and we're using crtstuff to run ctors, + use them for registering eh frame information. */ +#if defined (TARGET_ASM_NAMED_SECTION) && DWARF2_UNWIND_INFO \ + && !defined (EH_FRAME_IN_DATA_SECTION) +#ifndef EH_FRAME_SECTION_NAME +#define EH_FRAME_SECTION_NAME ".eh_frame" +#endif +#endif + +/* On many systems, different EH table encodings are used under + difference circumstances. Some will require runtime relocations; + some will not. For those that do not require runtime relocations, + we would like to make the table read-only. However, since the + read-only tables may need to be combined with read-write tables + that do require runtime relocation, it is not safe to make the + tables read-only unless the linker will merge read-only and + read-write sections into a single read-write section. If your + linker does not have this ability, but your system is such that no + encoding used with non-PIC code will ever require a runtime + relocation, then you can define EH_TABLES_CAN_BE_READ_ONLY to 1 in + your target configuration file. */ +#ifndef EH_TABLES_CAN_BE_READ_ONLY +#ifdef HAVE_LD_RO_RW_SECTION_MIXING +#define EH_TABLES_CAN_BE_READ_ONLY 1 +#else +#define EH_TABLES_CAN_BE_READ_ONLY 0 +#endif +#endif + +/* If we have named section and we support weak symbols, then use the + .jcr section for recording java classes which need to be registered + at program start-up time. */ +#if defined (TARGET_ASM_NAMED_SECTION) && SUPPORTS_WEAK +#ifndef JCR_SECTION_NAME +#define JCR_SECTION_NAME ".jcr" +#endif +#endif + +/* This decision to use a .jcr section can be overridden by defining + USE_JCR_SECTION to 0 in target file. This is necessary if target + can define JCR_SECTION_NAME but does not have crtstuff or + linker support for .jcr section. */ +#ifndef TARGET_USE_JCR_SECTION +#ifdef JCR_SECTION_NAME +#define TARGET_USE_JCR_SECTION 1 +#else +#define TARGET_USE_JCR_SECTION 0 +#endif +#endif + +/* Number of hardware registers that go into the DWARF-2 unwind info. + If not defined, equals FIRST_PSEUDO_REGISTER */ + +#ifndef DWARF_FRAME_REGISTERS +#define DWARF_FRAME_REGISTERS FIRST_PSEUDO_REGISTER +#endif + +/* Offsets recorded in opcodes are a multiple of this alignment factor. */ +#ifndef DWARF_CIE_DATA_ALIGNMENT +#ifdef STACK_GROWS_DOWNWARD +#define DWARF_CIE_DATA_ALIGNMENT (-((int) UNITS_PER_WORD)) +#else +#define DWARF_CIE_DATA_ALIGNMENT ((int) UNITS_PER_WORD) +#endif +#endif + +/* The DWARF 2 CFA column which tracks the return address. Normally this + is the column for PC, or the first column after all of the hard + registers. */ +#ifndef DWARF_FRAME_RETURN_COLUMN +#ifdef PC_REGNUM +#define DWARF_FRAME_RETURN_COLUMN DWARF_FRAME_REGNUM (PC_REGNUM) +#else +#define DWARF_FRAME_RETURN_COLUMN DWARF_FRAME_REGISTERS +#endif +#endif + +/* How to renumber registers for dbx and gdb. If not defined, assume + no renumbering is necessary. */ + +#ifndef DBX_REGISTER_NUMBER +#define DBX_REGISTER_NUMBER(REGNO) (REGNO) +#endif + +/* The mapping from gcc register number to DWARF 2 CFA column number. + By default, we just provide columns for all registers. */ +#ifndef DWARF_FRAME_REGNUM +#define DWARF_FRAME_REGNUM(REG) DBX_REGISTER_NUMBER (REG) +#endif + +/* The mapping from dwarf CFA reg number to internal dwarf reg numbers. */ +#ifndef DWARF_REG_TO_UNWIND_COLUMN +#define DWARF_REG_TO_UNWIND_COLUMN(REGNO) (REGNO) +#endif + +/* Map register numbers held in the call frame info that gcc has + collected using DWARF_FRAME_REGNUM to those that should be output in + .debug_frame and .eh_frame. */ +#ifndef DWARF2_FRAME_REG_OUT +#define DWARF2_FRAME_REG_OUT(REGNO, FOR_EH) (REGNO) +#endif + +/* The size of addresses as they appear in the Dwarf 2 data. + Some architectures use word addresses to refer to code locations, + but Dwarf 2 info always uses byte addresses. On such machines, + Dwarf 2 addresses need to be larger than the architecture's + pointers. */ +#ifndef DWARF2_ADDR_SIZE +#define DWARF2_ADDR_SIZE ((POINTER_SIZE + BITS_PER_UNIT - 1) / BITS_PER_UNIT) +#endif + +/* The size in bytes of a DWARF field indicating an offset or length + relative to a debug info section, specified to be 4 bytes in the + DWARF-2 specification. The SGI/MIPS ABI defines it to be the same + as PTR_SIZE. */ +#ifndef DWARF_OFFSET_SIZE +#define DWARF_OFFSET_SIZE 4 +#endif + +/* The size in bytes of a DWARF 4 type signature. */ +#ifndef DWARF_TYPE_SIGNATURE_SIZE +#define DWARF_TYPE_SIGNATURE_SIZE 8 +#endif + +/* Default sizes for base C types. If the sizes are different for + your target, you should override these values by defining the + appropriate symbols in your tm.h file. */ + +#if BITS_PER_UNIT == 8 +#define LOG2_BITS_PER_UNIT 3 +#elif BITS_PER_UNIT == 16 +#define LOG2_BITS_PER_UNIT 4 +#else +#error Unknown BITS_PER_UNIT +#endif + +#ifndef BITS_PER_WORD +#define BITS_PER_WORD (BITS_PER_UNIT * UNITS_PER_WORD) +#endif + +#ifndef CHAR_TYPE_SIZE +#define CHAR_TYPE_SIZE BITS_PER_UNIT +#endif + +#ifndef BOOL_TYPE_SIZE +/* `bool' has size and alignment `1', on almost all platforms. */ +#define BOOL_TYPE_SIZE CHAR_TYPE_SIZE +#endif + +#ifndef SHORT_TYPE_SIZE +#define SHORT_TYPE_SIZE (BITS_PER_UNIT * MIN ((UNITS_PER_WORD + 1) / 2, 2)) +#endif + +#ifndef INT_TYPE_SIZE +#define INT_TYPE_SIZE BITS_PER_WORD +#endif + +#ifndef LONG_TYPE_SIZE +#define LONG_TYPE_SIZE BITS_PER_WORD +#endif + +#ifndef LONG_LONG_TYPE_SIZE +#define LONG_LONG_TYPE_SIZE (BITS_PER_WORD * 2) +#endif + +#ifndef WCHAR_TYPE_SIZE +#define WCHAR_TYPE_SIZE INT_TYPE_SIZE +#endif + +#ifndef FLOAT_TYPE_SIZE +#define FLOAT_TYPE_SIZE BITS_PER_WORD +#endif + +#ifndef DOUBLE_TYPE_SIZE +#define DOUBLE_TYPE_SIZE (BITS_PER_WORD * 2) +#endif + +#ifndef LONG_DOUBLE_TYPE_SIZE +#define LONG_DOUBLE_TYPE_SIZE (BITS_PER_WORD * 2) +#endif + +#ifndef DECIMAL32_TYPE_SIZE +#define DECIMAL32_TYPE_SIZE 32 +#endif + +#ifndef DECIMAL64_TYPE_SIZE +#define DECIMAL64_TYPE_SIZE 64 +#endif + +#ifndef DECIMAL128_TYPE_SIZE +#define DECIMAL128_TYPE_SIZE 128 +#endif + +#ifndef SHORT_FRACT_TYPE_SIZE +#define SHORT_FRACT_TYPE_SIZE BITS_PER_UNIT +#endif + +#ifndef FRACT_TYPE_SIZE +#define FRACT_TYPE_SIZE (BITS_PER_UNIT * 2) +#endif + +#ifndef LONG_FRACT_TYPE_SIZE +#define LONG_FRACT_TYPE_SIZE (BITS_PER_UNIT * 4) +#endif + +#ifndef LONG_LONG_FRACT_TYPE_SIZE +#define LONG_LONG_FRACT_TYPE_SIZE (BITS_PER_UNIT * 8) +#endif + +#ifndef SHORT_ACCUM_TYPE_SIZE +#define SHORT_ACCUM_TYPE_SIZE (SHORT_FRACT_TYPE_SIZE * 2) +#endif + +#ifndef ACCUM_TYPE_SIZE +#define ACCUM_TYPE_SIZE (FRACT_TYPE_SIZE * 2) +#endif + +#ifndef LONG_ACCUM_TYPE_SIZE +#define LONG_ACCUM_TYPE_SIZE (LONG_FRACT_TYPE_SIZE * 2) +#endif + +#ifndef LONG_LONG_ACCUM_TYPE_SIZE +#define LONG_LONG_ACCUM_TYPE_SIZE (LONG_LONG_FRACT_TYPE_SIZE * 2) +#endif + +/* We let tm.h override the types used here, to handle trivial differences + such as the choice of unsigned int or long unsigned int for size_t. + When machines start needing nontrivial differences in the size type, + it would be best to do something here to figure out automatically + from other information what type to use. */ + +#ifndef SIZE_TYPE +#define SIZE_TYPE "long unsigned int" +#endif + +#ifndef SIZETYPE +#define SIZETYPE SIZE_TYPE +#endif + +#ifndef PID_TYPE +#define PID_TYPE "int" +#endif + +/* If GCC knows the exact uint_least16_t and uint_least32_t types from + , use them for char16_t and char32_t. Otherwise, use + these guesses; getting the wrong type of a given width will not + affect C++ name mangling because in C++ these are distinct types + not typedefs. */ + +#ifdef UINT_LEAST16_TYPE +#define CHAR16_TYPE UINT_LEAST16_TYPE +#else +#define CHAR16_TYPE "short unsigned int" +#endif + +#ifdef UINT_LEAST32_TYPE +#define CHAR32_TYPE UINT_LEAST32_TYPE +#else +#define CHAR32_TYPE "unsigned int" +#endif + +#ifndef WCHAR_TYPE +#define WCHAR_TYPE "int" +#endif + +/* WCHAR_TYPE gets overridden by -fshort-wchar. */ +#define MODIFIED_WCHAR_TYPE \ + (flag_short_wchar ? "short unsigned int" : WCHAR_TYPE) + +#ifndef PTRDIFF_TYPE +#define PTRDIFF_TYPE "long int" +#endif + +#ifndef WINT_TYPE +#define WINT_TYPE "unsigned int" +#endif + +#ifndef INTMAX_TYPE +#define INTMAX_TYPE ((INT_TYPE_SIZE == LONG_LONG_TYPE_SIZE) \ + ? "int" \ + : ((LONG_TYPE_SIZE == LONG_LONG_TYPE_SIZE) \ + ? "long int" \ + : "long long int")) +#endif + +#ifndef UINTMAX_TYPE +#define UINTMAX_TYPE ((INT_TYPE_SIZE == LONG_LONG_TYPE_SIZE) \ + ? "unsigned int" \ + : ((LONG_TYPE_SIZE == LONG_LONG_TYPE_SIZE) \ + ? "long unsigned int" \ + : "long long unsigned int")) +#endif + + +/* There are no default definitions of these types. */ + +#ifndef SIG_ATOMIC_TYPE +#define SIG_ATOMIC_TYPE ((const char *) NULL) +#endif + +#ifndef INT8_TYPE +#define INT8_TYPE ((const char *) NULL) +#endif + +#ifndef INT16_TYPE +#define INT16_TYPE ((const char *) NULL) +#endif + +#ifndef INT32_TYPE +#define INT32_TYPE ((const char *) NULL) +#endif + +#ifndef INT64_TYPE +#define INT64_TYPE ((const char *) NULL) +#endif + +#ifndef UINT8_TYPE +#define UINT8_TYPE ((const char *) NULL) +#endif + +#ifndef UINT16_TYPE +#define UINT16_TYPE ((const char *) NULL) +#endif + +#ifndef UINT32_TYPE +#define UINT32_TYPE ((const char *) NULL) +#endif + +#ifndef UINT64_TYPE +#define UINT64_TYPE ((const char *) NULL) +#endif + +#ifndef INT_LEAST8_TYPE +#define INT_LEAST8_TYPE ((const char *) NULL) +#endif + +#ifndef INT_LEAST16_TYPE +#define INT_LEAST16_TYPE ((const char *) NULL) +#endif + +#ifndef INT_LEAST32_TYPE +#define INT_LEAST32_TYPE ((const char *) NULL) +#endif + +#ifndef INT_LEAST64_TYPE +#define INT_LEAST64_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_LEAST8_TYPE +#define UINT_LEAST8_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_LEAST16_TYPE +#define UINT_LEAST16_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_LEAST32_TYPE +#define UINT_LEAST32_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_LEAST64_TYPE +#define UINT_LEAST64_TYPE ((const char *) NULL) +#endif + +#ifndef INT_FAST8_TYPE +#define INT_FAST8_TYPE ((const char *) NULL) +#endif + +#ifndef INT_FAST16_TYPE +#define INT_FAST16_TYPE ((const char *) NULL) +#endif + +#ifndef INT_FAST32_TYPE +#define INT_FAST32_TYPE ((const char *) NULL) +#endif + +#ifndef INT_FAST64_TYPE +#define INT_FAST64_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_FAST8_TYPE +#define UINT_FAST8_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_FAST16_TYPE +#define UINT_FAST16_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_FAST32_TYPE +#define UINT_FAST32_TYPE ((const char *) NULL) +#endif + +#ifndef UINT_FAST64_TYPE +#define UINT_FAST64_TYPE ((const char *) NULL) +#endif + +#ifndef INTPTR_TYPE +#define INTPTR_TYPE ((const char *) NULL) +#endif + +#ifndef UINTPTR_TYPE +#define UINTPTR_TYPE ((const char *) NULL) +#endif + +/* Width in bits of a pointer. Mind the value of the macro `Pmode'. */ +#ifndef POINTER_SIZE +#define POINTER_SIZE BITS_PER_WORD +#endif +#ifndef POINTER_SIZE_UNITS +#define POINTER_SIZE_UNITS ((POINTER_SIZE + BITS_PER_UNIT - 1) / BITS_PER_UNIT) +#endif + + +#ifndef PIC_OFFSET_TABLE_REGNUM +#define PIC_OFFSET_TABLE_REGNUM INVALID_REGNUM +#endif + +#ifndef PIC_OFFSET_TABLE_REG_CALL_CLOBBERED +#define PIC_OFFSET_TABLE_REG_CALL_CLOBBERED 0 +#endif + +#ifndef TARGET_DLLIMPORT_DECL_ATTRIBUTES +#define TARGET_DLLIMPORT_DECL_ATTRIBUTES 0 +#endif + +#ifndef TARGET_DECLSPEC +#if TARGET_DLLIMPORT_DECL_ATTRIBUTES +/* If the target supports the "dllimport" attribute, users are + probably used to the "__declspec" syntax. */ +#define TARGET_DECLSPEC 1 +#else +#define TARGET_DECLSPEC 0 +#endif +#endif + +/* By default, the preprocessor should be invoked the same way in C++ + as in C. */ +#ifndef CPLUSPLUS_CPP_SPEC +#ifdef CPP_SPEC +#define CPLUSPLUS_CPP_SPEC CPP_SPEC +#endif +#endif + +#ifndef ACCUMULATE_OUTGOING_ARGS +#define ACCUMULATE_OUTGOING_ARGS 0 +#endif + +/* By default, use the GNU runtime for Objective C. */ +#ifndef NEXT_OBJC_RUNTIME +#define NEXT_OBJC_RUNTIME 0 +#endif + +/* Supply a default definition for PUSH_ARGS. */ +#ifndef PUSH_ARGS +#ifdef PUSH_ROUNDING +#define PUSH_ARGS !ACCUMULATE_OUTGOING_ARGS +#else +#define PUSH_ARGS 0 +#endif +#endif + +/* Decide whether a function's arguments should be processed + from first to last or from last to first. + + They should if the stack and args grow in opposite directions, but + only if we have push insns. */ + +#ifdef PUSH_ROUNDING + +#ifndef PUSH_ARGS_REVERSED +#if defined (STACK_GROWS_DOWNWARD) != defined (ARGS_GROW_DOWNWARD) +#define PUSH_ARGS_REVERSED PUSH_ARGS +#endif +#endif + +#endif + +#ifndef PUSH_ARGS_REVERSED +#define PUSH_ARGS_REVERSED 0 +#endif + +/* Default value for the alignment (in bits) a C conformant malloc has to + provide. This default is intended to be safe and always correct. */ +#ifndef MALLOC_ABI_ALIGNMENT +#define MALLOC_ABI_ALIGNMENT BITS_PER_WORD +#endif + +/* If PREFERRED_STACK_BOUNDARY is not defined, set it to STACK_BOUNDARY. + STACK_BOUNDARY is required. */ +#ifndef PREFERRED_STACK_BOUNDARY +#define PREFERRED_STACK_BOUNDARY STACK_BOUNDARY +#endif + +/* Set INCOMING_STACK_BOUNDARY to PREFERRED_STACK_BOUNDARY if it is not + defined. */ +#ifndef INCOMING_STACK_BOUNDARY +#define INCOMING_STACK_BOUNDARY PREFERRED_STACK_BOUNDARY +#endif + +#ifndef TARGET_DEFAULT_PACK_STRUCT +#define TARGET_DEFAULT_PACK_STRUCT 0 +#endif + +/* By default, the vtable entries are void pointers, the so the alignment + is the same as pointer alignment. The value of this macro specifies + the alignment of the vtable entry in bits. It should be defined only + when special alignment is necessary. */ +#ifndef TARGET_VTABLE_ENTRY_ALIGN +#define TARGET_VTABLE_ENTRY_ALIGN POINTER_SIZE +#endif + +/* There are a few non-descriptor entries in the vtable at offsets below + zero. If these entries must be padded (say, to preserve the alignment + specified by TARGET_VTABLE_ENTRY_ALIGN), set this to the number of + words in each data entry. */ +#ifndef TARGET_VTABLE_DATA_ENTRY_DISTANCE +#define TARGET_VTABLE_DATA_ENTRY_DISTANCE 1 +#endif + +/* Decide whether it is safe to use a local alias for a virtual function + when constructing thunks. */ +#ifndef TARGET_USE_LOCAL_THUNK_ALIAS_P +#ifdef ASM_OUTPUT_DEF +#define TARGET_USE_LOCAL_THUNK_ALIAS_P(DECL) 1 +#else +#define TARGET_USE_LOCAL_THUNK_ALIAS_P(DECL) 0 +#endif +#endif + +/* Select a format to encode pointers in exception handling data. We + prefer those that result in fewer dynamic relocations. Assume no + special support here and encode direct references. */ +#ifndef ASM_PREFERRED_EH_DATA_FORMAT +#define ASM_PREFERRED_EH_DATA_FORMAT(CODE,GLOBAL) DW_EH_PE_absptr +#endif + +/* By default, the C++ compiler will use the lowest bit of the pointer + to function to indicate a pointer-to-member-function points to a + virtual member function. However, if FUNCTION_BOUNDARY indicates + function addresses aren't always even, the lowest bit of the delta + field will be used. */ +#ifndef TARGET_PTRMEMFUNC_VBIT_LOCATION +#define TARGET_PTRMEMFUNC_VBIT_LOCATION \ + (FUNCTION_BOUNDARY >= 2 * BITS_PER_UNIT \ + ? ptrmemfunc_vbit_in_pfn : ptrmemfunc_vbit_in_delta) +#endif + +#ifndef DEFAULT_GDB_EXTENSIONS +#define DEFAULT_GDB_EXTENSIONS 1 +#endif + +/* If more than one debugging type is supported, you must define + PREFERRED_DEBUGGING_TYPE to choose the default. */ + +#if 1 < (defined (DBX_DEBUGGING_INFO) + defined (SDB_DEBUGGING_INFO) \ + + defined (DWARF2_DEBUGGING_INFO) + defined (XCOFF_DEBUGGING_INFO) \ + + defined (VMS_DEBUGGING_INFO)) +#ifndef PREFERRED_DEBUGGING_TYPE +#error You must define PREFERRED_DEBUGGING_TYPE +#endif /* no PREFERRED_DEBUGGING_TYPE */ + +/* If only one debugging format is supported, define PREFERRED_DEBUGGING_TYPE + here so other code needn't care. */ +#elif defined DBX_DEBUGGING_INFO +#define PREFERRED_DEBUGGING_TYPE DBX_DEBUG + +#elif defined SDB_DEBUGGING_INFO +#define PREFERRED_DEBUGGING_TYPE SDB_DEBUG + +#elif defined DWARF2_DEBUGGING_INFO +#define PREFERRED_DEBUGGING_TYPE DWARF2_DEBUG + +#elif defined VMS_DEBUGGING_INFO +#define PREFERRED_DEBUGGING_TYPE VMS_AND_DWARF2_DEBUG + +#elif defined XCOFF_DEBUGGING_INFO +#define PREFERRED_DEBUGGING_TYPE XCOFF_DEBUG + +#else +/* No debugging format is supported by this target. */ +#define PREFERRED_DEBUGGING_TYPE NO_DEBUG +#endif + +#ifndef FLOAT_LIB_COMPARE_RETURNS_BOOL +#define FLOAT_LIB_COMPARE_RETURNS_BOOL(MODE, COMPARISON) false +#endif + +/* True if the targets integer-comparison functions return { 0, 1, 2 + } to indicate { <, ==, > }. False if { -1, 0, 1 } is used + instead. The libgcc routines are biased. */ +#ifndef TARGET_LIB_INT_CMP_BIASED +#define TARGET_LIB_INT_CMP_BIASED (true) +#endif + +/* If FLOAT_WORDS_BIG_ENDIAN is not defined in the header files, + then the word-endianness is the same as for integers. */ +#ifndef FLOAT_WORDS_BIG_ENDIAN +#define FLOAT_WORDS_BIG_ENDIAN WORDS_BIG_ENDIAN +#endif + +#ifndef REG_WORDS_BIG_ENDIAN +#define REG_WORDS_BIG_ENDIAN WORDS_BIG_ENDIAN +#endif + +#ifdef TARGET_FLT_EVAL_METHOD +#define TARGET_FLT_EVAL_METHOD_NON_DEFAULT 1 +#else +#define TARGET_FLT_EVAL_METHOD 0 +#define TARGET_FLT_EVAL_METHOD_NON_DEFAULT 0 +#endif + +#ifndef TARGET_DEC_EVAL_METHOD +#define TARGET_DEC_EVAL_METHOD 2 +#endif + +#ifndef HAS_LONG_COND_BRANCH +#define HAS_LONG_COND_BRANCH 0 +#endif + +#ifndef HAS_LONG_UNCOND_BRANCH +#define HAS_LONG_UNCOND_BRANCH 0 +#endif + +/* Determine whether __cxa_atexit, rather than atexit, is used to + register C++ destructors for local statics and global objects. */ +#ifndef DEFAULT_USE_CXA_ATEXIT +#define DEFAULT_USE_CXA_ATEXIT 0 +#endif + +#if GCC_VERSION >= 3000 && defined IN_GCC +/* These old constraint macros shouldn't appear anywhere in a + configuration using MD constraint definitions. */ +#endif + +/* Determin whether the target runtime library is Bionic */ +#ifndef TARGET_HAS_BIONIC +#define TARGET_HAS_BIONIC 0 +#endif + +/* Indicate that CLZ and CTZ are undefined at zero. */ +#ifndef CLZ_DEFINED_VALUE_AT_ZERO +#define CLZ_DEFINED_VALUE_AT_ZERO(MODE, VALUE) 0 +#endif +#ifndef CTZ_DEFINED_VALUE_AT_ZERO +#define CTZ_DEFINED_VALUE_AT_ZERO(MODE, VALUE) 0 +#endif + +/* Provide a default value for STORE_FLAG_VALUE. */ +#ifndef STORE_FLAG_VALUE +#define STORE_FLAG_VALUE 1 +#endif + +/* This macro is used to determine what the largest unit size that + move_by_pieces can use is. */ + +/* MOVE_MAX_PIECES is the number of bytes at a time which we can + move efficiently, as opposed to MOVE_MAX which is the maximum + number of bytes we can move with a single instruction. */ + +#ifndef MOVE_MAX_PIECES +#define MOVE_MAX_PIECES MOVE_MAX +#endif + +/* STORE_MAX_PIECES is the number of bytes at a time that we can + store efficiently. Due to internal GCC limitations, this is + MOVE_MAX_PIECES limited by the number of bytes GCC can represent + for an immediate constant. */ + +#ifndef STORE_MAX_PIECES +#define STORE_MAX_PIECES MIN (MOVE_MAX_PIECES, 2 * sizeof (HOST_WIDE_INT)) +#endif + +#ifndef MAX_MOVE_MAX +#define MAX_MOVE_MAX MOVE_MAX +#endif + +#ifndef MIN_UNITS_PER_WORD +#define MIN_UNITS_PER_WORD UNITS_PER_WORD +#endif + +#ifndef MAX_BITS_PER_WORD +#define MAX_BITS_PER_WORD BITS_PER_WORD +#endif + +#ifndef STACK_POINTER_OFFSET +#define STACK_POINTER_OFFSET 0 +#endif + +#ifndef LOCAL_REGNO +#define LOCAL_REGNO(REGNO) 0 +#endif + +#ifndef HONOR_REG_ALLOC_ORDER +#define HONOR_REG_ALLOC_ORDER 0 +#endif + +/* EXIT_IGNORE_STACK should be nonzero if, when returning from a function, + the stack pointer does not matter. The value is tested only in + functions that have frame pointers. */ +#ifndef EXIT_IGNORE_STACK +#define EXIT_IGNORE_STACK 0 +#endif + +/* Assume that case vectors are not pc-relative. */ +#ifndef CASE_VECTOR_PC_RELATIVE +#define CASE_VECTOR_PC_RELATIVE 0 +#endif + +/* Assume that trampolines need function alignment. */ +#ifndef TRAMPOLINE_ALIGNMENT +#define TRAMPOLINE_ALIGNMENT FUNCTION_BOUNDARY +#endif + +/* Register mappings for target machines without register windows. */ +#ifndef INCOMING_REGNO +#define INCOMING_REGNO(N) (N) +#endif + +#ifndef OUTGOING_REGNO +#define OUTGOING_REGNO(N) (N) +#endif + +#ifndef SHIFT_COUNT_TRUNCATED +#define SHIFT_COUNT_TRUNCATED 0 +#endif + +#ifndef LEGITIMATE_PIC_OPERAND_P +#define LEGITIMATE_PIC_OPERAND_P(X) 1 +#endif + +#ifndef TARGET_MEM_CONSTRAINT +#define TARGET_MEM_CONSTRAINT 'm' +#endif + +#ifndef REVERSIBLE_CC_MODE +#define REVERSIBLE_CC_MODE(MODE) 0 +#endif + +/* Biggest alignment supported by the object file format of this machine. */ +#ifndef MAX_OFILE_ALIGNMENT +#define MAX_OFILE_ALIGNMENT BIGGEST_ALIGNMENT +#endif + +#ifndef FRAME_GROWS_DOWNWARD +#define FRAME_GROWS_DOWNWARD 0 +#endif + +#ifndef RETURN_ADDR_IN_PREVIOUS_FRAME +#define RETURN_ADDR_IN_PREVIOUS_FRAME 0 +#endif + +/* On most machines, the CFA coincides with the first incoming parm. */ +#ifndef ARG_POINTER_CFA_OFFSET +#define ARG_POINTER_CFA_OFFSET(FNDECL) \ + (FIRST_PARM_OFFSET (FNDECL) + crtl->args.pretend_args_size) +#endif + +/* On most machines, we use the CFA as DW_AT_frame_base. */ +#ifndef CFA_FRAME_BASE_OFFSET +#define CFA_FRAME_BASE_OFFSET(FNDECL) 0 +#endif + +/* The offset from the incoming value of %sp to the top of the stack frame + for the current function. */ +#ifndef INCOMING_FRAME_SP_OFFSET +#define INCOMING_FRAME_SP_OFFSET 0 +#endif + +#ifndef HARD_REGNO_NREGS_HAS_PADDING +#define HARD_REGNO_NREGS_HAS_PADDING(REGNO, MODE) 0 +#define HARD_REGNO_NREGS_WITH_PADDING(REGNO, MODE) -1 +#endif + +#ifndef OUTGOING_REG_PARM_STACK_SPACE +#define OUTGOING_REG_PARM_STACK_SPACE(FNTYPE) 0 +#endif + +/* MAX_STACK_ALIGNMENT is the maximum stack alignment guaranteed by + the backend. MAX_SUPPORTED_STACK_ALIGNMENT is the maximum best + effort stack alignment supported by the backend. If the backend + supports stack alignment, MAX_SUPPORTED_STACK_ALIGNMENT and + MAX_STACK_ALIGNMENT are the same. Otherwise, the incoming stack + boundary will limit the maximum guaranteed stack alignment. */ +#ifdef MAX_STACK_ALIGNMENT +#define MAX_SUPPORTED_STACK_ALIGNMENT MAX_STACK_ALIGNMENT +#else +#define MAX_STACK_ALIGNMENT STACK_BOUNDARY +#define MAX_SUPPORTED_STACK_ALIGNMENT PREFERRED_STACK_BOUNDARY +#endif + +#define SUPPORTS_STACK_ALIGNMENT (MAX_STACK_ALIGNMENT > STACK_BOUNDARY) + +#ifndef LOCAL_ALIGNMENT +#define LOCAL_ALIGNMENT(TYPE, ALIGNMENT) ALIGNMENT +#endif + +#ifndef STACK_SLOT_ALIGNMENT +#define STACK_SLOT_ALIGNMENT(TYPE,MODE,ALIGN) \ + ((TYPE) ? LOCAL_ALIGNMENT ((TYPE), (ALIGN)) : (ALIGN)) +#endif + +#ifndef LOCAL_DECL_ALIGNMENT +#define LOCAL_DECL_ALIGNMENT(DECL) \ + LOCAL_ALIGNMENT (TREE_TYPE (DECL), DECL_ALIGN (DECL)) +#endif + +#ifndef MINIMUM_ALIGNMENT +#define MINIMUM_ALIGNMENT(EXP,MODE,ALIGN) (ALIGN) +#endif + +/* Alignment value for attribute ((aligned)). */ +#ifndef ATTRIBUTE_ALIGNED_VALUE +#define ATTRIBUTE_ALIGNED_VALUE BIGGEST_ALIGNMENT +#endif + +#ifndef SLOW_UNALIGNED_ACCESS +#define SLOW_UNALIGNED_ACCESS(MODE, ALIGN) STRICT_ALIGNMENT +#endif + +/* For most ports anything that evaluates to a constant symbolic + or integer value is acceptable as a constant address. */ +#ifndef CONSTANT_ADDRESS_P +#define CONSTANT_ADDRESS_P(X) (CONSTANT_P (X) && GET_CODE (X) != CONST_DOUBLE) +#endif + +#ifndef MAX_FIXED_MODE_SIZE +#define MAX_FIXED_MODE_SIZE GET_MODE_BITSIZE (DImode) +#endif + +/* Nonzero if structures and unions should be returned in memory. + + This should only be defined if compatibility with another compiler or + with an ABI is needed, because it results in slower code. */ + +#ifndef DEFAULT_PCC_STRUCT_RETURN +#define DEFAULT_PCC_STRUCT_RETURN 1 +#endif + +#ifdef GCC_INSN_FLAGS_H +/* Dependent default target macro definitions + + This section of defaults.h defines target macros that depend on generated + headers. This is a bit awkward: We want to put all default definitions + for target macros in defaults.h, but some of the defaults depend on the + HAVE_* flags defines of insn-flags.h. But insn-flags.h is not always + included by files that do include defaults.h. + + Fortunately, the default macro definitions that depend on the HAVE_* + macros are also the ones that will only be used inside GCC itself, i.e. + not in the gen* programs or in target objects like libgcc. + + Obviously, it would be best to keep this section of defaults.h as small + as possible, by converting the macros defined below to target hooks or + functions. +*/ + +/* The default branch cost is 1. */ +#ifndef BRANCH_COST +#define BRANCH_COST(speed_p, predictable_p) 1 +#endif + +/* If a memory-to-memory move would take MOVE_RATIO or more simple + move-instruction sequences, we will do a movmem or libcall instead. */ + +#ifndef MOVE_RATIO +#if defined (HAVE_movmemqi) || defined (HAVE_movmemhi) || defined (HAVE_movmemsi) || defined (HAVE_movmemdi) || defined (HAVE_movmemti) +#define MOVE_RATIO(speed) 2 +#else +/* If we are optimizing for space (-Os), cut down the default move ratio. */ +#define MOVE_RATIO(speed) ((speed) ? 15 : 3) +#endif +#endif + +/* If a clear memory operation would take CLEAR_RATIO or more simple + move-instruction sequences, we will do a setmem or libcall instead. */ + +#ifndef CLEAR_RATIO +#if defined (HAVE_setmemqi) || defined (HAVE_setmemhi) || defined (HAVE_setmemsi) || defined (HAVE_setmemdi) || defined (HAVE_setmemti) +#define CLEAR_RATIO(speed) 2 +#else +/* If we are optimizing for space, cut down the default clear ratio. */ +#define CLEAR_RATIO(speed) ((speed) ? 15 :3) +#endif +#endif + +/* If a memory set (to value other than zero) operation would take + SET_RATIO or more simple move-instruction sequences, we will do a movmem + or libcall instead. */ +#ifndef SET_RATIO +#define SET_RATIO(speed) MOVE_RATIO (speed) +#endif + +/* Supply a default definition for FUNCTION_ARG_PADDING: + usually pad upward, but pad short args downward on + big-endian machines. */ + +#define DEFAULT_FUNCTION_ARG_PADDING(MODE, TYPE) \ + (! BYTES_BIG_ENDIAN \ + ? upward \ + : (((MODE) == BLKmode \ + ? ((TYPE) && TREE_CODE (TYPE_SIZE (TYPE)) == INTEGER_CST \ + && int_size_in_bytes (TYPE) < (PARM_BOUNDARY / BITS_PER_UNIT)) \ + : GET_MODE_BITSIZE (MODE) < PARM_BOUNDARY) \ + ? downward : upward)) + +#ifndef FUNCTION_ARG_PADDING +#define FUNCTION_ARG_PADDING(MODE, TYPE) \ + DEFAULT_FUNCTION_ARG_PADDING ((MODE), (TYPE)) +#endif + +/* Supply a default definition of STACK_SAVEAREA_MODE for emit_stack_save. + Normally move_insn, so Pmode stack pointer. */ + +#ifndef STACK_SAVEAREA_MODE +#define STACK_SAVEAREA_MODE(LEVEL) Pmode +#endif + +/* Supply a default definition of STACK_SIZE_MODE for + allocate_dynamic_stack_space. Normally PLUS/MINUS, so word_mode. */ + +#ifndef STACK_SIZE_MODE +#define STACK_SIZE_MODE word_mode +#endif + +/* Provide default values for the macros controlling stack checking. */ + +/* The default is neither full builtin stack checking... */ +#ifndef STACK_CHECK_BUILTIN +#define STACK_CHECK_BUILTIN 0 +#endif + +/* ...nor static builtin stack checking. */ +#ifndef STACK_CHECK_STATIC_BUILTIN +#define STACK_CHECK_STATIC_BUILTIN 0 +#endif + +/* The default interval is one page (4096 bytes). */ +#ifndef STACK_CHECK_PROBE_INTERVAL_EXP +#define STACK_CHECK_PROBE_INTERVAL_EXP 12 +#endif + +/* The default is not to move the stack pointer. */ +#ifndef STACK_CHECK_MOVING_SP +#define STACK_CHECK_MOVING_SP 0 +#endif + +/* This is a kludge to try to capture the discrepancy between the old + mechanism (generic stack checking) and the new mechanism (static + builtin stack checking). STACK_CHECK_PROTECT needs to be bumped + for the latter because part of the protection area is effectively + included in STACK_CHECK_MAX_FRAME_SIZE for the former. */ +#ifdef STACK_CHECK_PROTECT +#define STACK_OLD_CHECK_PROTECT STACK_CHECK_PROTECT +#else +#define STACK_OLD_CHECK_PROTECT \ + (targetm_common.except_unwind_info (&global_options) == UI_SJLJ \ + ? 75 * UNITS_PER_WORD \ + : 8 * 1024) +#endif + +/* Minimum amount of stack required to recover from an anticipated stack + overflow detection. The default value conveys an estimate of the amount + of stack required to propagate an exception. */ +#ifndef STACK_CHECK_PROTECT +#define STACK_CHECK_PROTECT \ + (targetm_common.except_unwind_info (&global_options) == UI_SJLJ \ + ? 75 * UNITS_PER_WORD \ + : 12 * 1024) +#endif + +/* Make the maximum frame size be the largest we can and still only need + one probe per function. */ +#ifndef STACK_CHECK_MAX_FRAME_SIZE +#define STACK_CHECK_MAX_FRAME_SIZE \ + ((1 << STACK_CHECK_PROBE_INTERVAL_EXP) - UNITS_PER_WORD) +#endif + +/* This is arbitrary, but should be large enough everywhere. */ +#ifndef STACK_CHECK_FIXED_FRAME_SIZE +#define STACK_CHECK_FIXED_FRAME_SIZE (4 * UNITS_PER_WORD) +#endif + +/* Provide a reasonable default for the maximum size of an object to + allocate in the fixed frame. We may need to be able to make this + controllable by the user at some point. */ +#ifndef STACK_CHECK_MAX_VAR_SIZE +#define STACK_CHECK_MAX_VAR_SIZE (STACK_CHECK_MAX_FRAME_SIZE / 100) +#endif + +/* By default, the C++ compiler will use function addresses in the + vtable entries. Setting this nonzero tells the compiler to use + function descriptors instead. The value of this macro says how + many words wide the descriptor is (normally 2). It is assumed + that the address of a function descriptor may be treated as a + pointer to a function. */ +#ifndef TARGET_VTABLE_USES_DESCRIPTORS +#define TARGET_VTABLE_USES_DESCRIPTORS 0 +#endif + +#ifndef SWITCHABLE_TARGET +#define SWITCHABLE_TARGET 0 +#endif + +/* If the target supports integers that are wider than two + HOST_WIDE_INTs on the host compiler, then the target should define + TARGET_SUPPORTS_WIDE_INT and make the appropriate fixups. + Otherwise the compiler really is not robust. */ +#ifndef TARGET_SUPPORTS_WIDE_INT +#define TARGET_SUPPORTS_WIDE_INT 0 +#endif + +#endif /* GCC_INSN_FLAGS_H */ + +#endif /* ! GCC_DEFAULTS_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/flag-types.h b/contrib/toolchain/gcc/5x/gcc/flag-types.h new file mode 100644 index 0000000000..bfdce442a6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/flag-types.h @@ -0,0 +1,301 @@ +/* Compilation switch flag type definitions for GCC. + Copyright (C) 1987-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +You should have received a copy of the GNU General Public License +along with GCC; see the file COPYING3. If not see +. */ + +#ifndef GCC_FLAG_TYPES_H +#define GCC_FLAG_TYPES_H + +enum debug_info_type +{ + NO_DEBUG, /* Write no debug info. */ + DBX_DEBUG, /* Write BSD .stabs for DBX (using dbxout.c). */ + SDB_DEBUG, /* Write COFF for (old) SDB (using sdbout.c). */ + DWARF2_DEBUG, /* Write Dwarf v2 debug info (using dwarf2out.c). */ + XCOFF_DEBUG, /* Write IBM/Xcoff debug info (using dbxout.c). */ + VMS_DEBUG, /* Write VMS debug info (using vmsdbgout.c). */ + VMS_AND_DWARF2_DEBUG /* Write VMS debug info (using vmsdbgout.c). + and DWARF v2 debug info (using dwarf2out.c). */ +}; + +enum debug_info_levels +{ + DINFO_LEVEL_NONE, /* Write no debugging info. */ + DINFO_LEVEL_TERSE, /* Write minimal info to support tracebacks only. */ + DINFO_LEVEL_NORMAL, /* Write info for all declarations (and line table). */ + DINFO_LEVEL_VERBOSE /* Write normal info plus #define/#undef info. */ +}; + +/* A major contribution to object and executable size is debug + information size. A major contribution to debug information + size is struct descriptions replicated in several object files. + The following function determines whether or not debug information + should be generated for a given struct. The indirect parameter + indicates that the struct is being handled indirectly, via + a pointer. See opts.c for the implementation. */ + +enum debug_info_usage +{ + DINFO_USAGE_DFN, /* A struct definition. */ + DINFO_USAGE_DIR_USE, /* A direct use, such as the type of a variable. */ + DINFO_USAGE_IND_USE, /* An indirect use, such as through a pointer. */ + DINFO_USAGE_NUM_ENUMS /* The number of enumerators. */ +}; + +/* A major contribution to object and executable size is debug + information size. A major contribution to debug information size + is struct descriptions replicated in several object files. The + following flags attempt to reduce this information. The basic + idea is to not emit struct debugging information in the current + compilation unit when that information will be generated by + another compilation unit. + + Debug information for a struct defined in the current source + file should be generated in the object file. Likewise the + debug information for a struct defined in a header should be + generated in the object file of the corresponding source file. + Both of these case are handled when the base name of the file of + the struct definition matches the base name of the source file + of the current compilation unit. This matching emits minimal + struct debugging information. + + The base file name matching rule above will fail to emit debug + information for structs defined in system headers. So a second + category of files includes system headers in addition to files + with matching bases. + + The remaining types of files are library headers and application + headers. We cannot currently distinguish these two types. */ + +enum debug_struct_file +{ + DINFO_STRUCT_FILE_NONE, /* Debug no structs. */ + DINFO_STRUCT_FILE_BASE, /* Debug structs defined in files with the + same base name as the compilation unit. */ + DINFO_STRUCT_FILE_SYS, /* Also debug structs defined in system + header files. */ + DINFO_STRUCT_FILE_ANY /* Debug structs defined in all files. */ +}; + +/* Enumerate visibility settings. This is deliberately ordered from most + to least visibility. */ +#ifndef SYMBOL_VISIBILITY_DEFINED +#define SYMBOL_VISIBILITY_DEFINED +enum symbol_visibility +{ + VISIBILITY_DEFAULT, + VISIBILITY_PROTECTED, + VISIBILITY_HIDDEN, + VISIBILITY_INTERNAL +}; +#endif + +/* Enumerate Objective-c instance variable visibility settings. */ + +enum ivar_visibility +{ + IVAR_VISIBILITY_PRIVATE, + IVAR_VISIBILITY_PROTECTED, + IVAR_VISIBILITY_PUBLIC, + IVAR_VISIBILITY_PACKAGE +}; + +/* The stack reuse level. */ +enum stack_reuse_level +{ + SR_NONE, + SR_NAMED_VARS, + SR_ALL +}; + +/* The algorithm used for the integrated register allocator (IRA). */ +enum ira_algorithm +{ + IRA_ALGORITHM_CB, + IRA_ALGORITHM_PRIORITY +}; + +/* The regions used for the integrated register allocator (IRA). */ +enum ira_region +{ + IRA_REGION_ONE, + IRA_REGION_ALL, + IRA_REGION_MIXED, + /* This value means that there were no options -fira-region on the + command line and that we should choose a value depending on the + used -O option. */ + IRA_REGION_AUTODETECT +}; + +/* The options for excess precision. */ +enum excess_precision +{ + EXCESS_PRECISION_DEFAULT, + EXCESS_PRECISION_FAST, + EXCESS_PRECISION_STANDARD +}; + +/* Type of stack check. */ +enum stack_check_type +{ + /* Do not check the stack. */ + NO_STACK_CHECK = 0, + + /* Check the stack generically, i.e. assume no specific support + from the target configuration files. */ + GENERIC_STACK_CHECK, + + /* Check the stack and rely on the target configuration files to + check the static frame of functions, i.e. use the generic + mechanism only for dynamic stack allocations. */ + STATIC_BUILTIN_STACK_CHECK, + + /* Check the stack and entirely rely on the target configuration + files, i.e. do not use the generic mechanism at all. */ + FULL_BUILTIN_STACK_CHECK +}; + +/* Names for the different levels of -Wstrict-overflow=N. The numeric + values here correspond to N. */ + +enum warn_strict_overflow_code +{ + /* Overflow warning that should be issued with -Wall: a questionable + construct that is easy to avoid even when using macros. Example: + folding (x + CONSTANT > x) to 1. */ + WARN_STRICT_OVERFLOW_ALL = 1, + /* Overflow warning about folding a comparison to a constant because + of undefined signed overflow, other than cases covered by + WARN_STRICT_OVERFLOW_ALL. Example: folding (abs (x) >= 0) to 1 + (this is false when x == INT_MIN). */ + WARN_STRICT_OVERFLOW_CONDITIONAL = 2, + /* Overflow warning about changes to comparisons other than folding + them to a constant. Example: folding (x + 1 > 1) to (x > 0). */ + WARN_STRICT_OVERFLOW_COMPARISON = 3, + /* Overflow warnings not covered by the above cases. Example: + folding ((x * 10) / 5) to (x * 2). */ + WARN_STRICT_OVERFLOW_MISC = 4, + /* Overflow warnings about reducing magnitude of constants in + comparison. Example: folding (x + 2 > y) to (x + 1 >= y). */ + WARN_STRICT_OVERFLOW_MAGNITUDE = 5 +}; + +/* Floating-point contraction mode. */ +enum fp_contract_mode { + FP_CONTRACT_OFF = 0, + FP_CONTRACT_ON = 1, + FP_CONTRACT_FAST = 2 +}; + +/* Vectorizer cost-model. */ +enum vect_cost_model { + VECT_COST_MODEL_UNLIMITED = 0, + VECT_COST_MODEL_CHEAP = 1, + VECT_COST_MODEL_DYNAMIC = 2, + VECT_COST_MODEL_DEFAULT = 3 +}; + + +/* Different instrumentation modes. */ +enum sanitize_code { + /* AddressSanitizer. */ + SANITIZE_ADDRESS = 1 << 0, + SANITIZE_USER_ADDRESS = 1 << 1, + SANITIZE_KERNEL_ADDRESS = 1 << 2, + /* ThreadSanitizer. */ + SANITIZE_THREAD = 1 << 3, + /* LeakSanitizer. */ + SANITIZE_LEAK = 1 << 4, + /* UndefinedBehaviorSanitizer. */ + SANITIZE_SHIFT = 1 << 5, + SANITIZE_DIVIDE = 1 << 6, + SANITIZE_UNREACHABLE = 1 << 7, + SANITIZE_VLA = 1 << 8, + SANITIZE_NULL = 1 << 9, + SANITIZE_RETURN = 1 << 10, + SANITIZE_SI_OVERFLOW = 1 << 11, + SANITIZE_BOOL = 1 << 12, + SANITIZE_ENUM = 1 << 13, + SANITIZE_FLOAT_DIVIDE = 1 << 14, + SANITIZE_FLOAT_CAST = 1 << 15, + SANITIZE_BOUNDS = 1UL << 16, + SANITIZE_ALIGNMENT = 1UL << 17, + SANITIZE_NONNULL_ATTRIBUTE = 1UL << 18, + SANITIZE_RETURNS_NONNULL_ATTRIBUTE = 1UL << 19, + SANITIZE_OBJECT_SIZE = 1UL << 20, + SANITIZE_VPTR = 1UL << 21, + SANITIZE_UNDEFINED = SANITIZE_SHIFT | SANITIZE_DIVIDE | SANITIZE_UNREACHABLE + | SANITIZE_VLA | SANITIZE_NULL | SANITIZE_RETURN + | SANITIZE_SI_OVERFLOW | SANITIZE_BOOL | SANITIZE_ENUM + | SANITIZE_BOUNDS | SANITIZE_ALIGNMENT + | SANITIZE_NONNULL_ATTRIBUTE + | SANITIZE_RETURNS_NONNULL_ATTRIBUTE + | SANITIZE_OBJECT_SIZE | SANITIZE_VPTR, + SANITIZE_NONDEFAULT = SANITIZE_FLOAT_DIVIDE | SANITIZE_FLOAT_CAST +}; + +/* flag_vtable_verify initialization levels. */ +enum vtv_priority { + VTV_NO_PRIORITY = 0, /* i.E. Do NOT do vtable verification. */ + VTV_STANDARD_PRIORITY = 1, + VTV_PREINIT_PRIORITY = 2 +}; + +/* flag_lto_partition initialization values. */ +enum lto_partition_model { + LTO_PARTITION_NONE = 0, + LTO_PARTITION_ONE = 1, + LTO_PARTITION_BALANCED = 2, + LTO_PARTITION_1TO1 = 3, + LTO_PARTITION_MAX = 4 +}; + + +/* gfortran -finit-real= values. */ + +enum gfc_init_local_real +{ + GFC_INIT_REAL_OFF = 0, + GFC_INIT_REAL_ZERO, + GFC_INIT_REAL_NAN, + GFC_INIT_REAL_SNAN, + GFC_INIT_REAL_INF, + GFC_INIT_REAL_NEG_INF +}; + +/* gfortran -fcoarray= values. */ + +enum gfc_fcoarray +{ + GFC_FCOARRAY_NONE = 0, + GFC_FCOARRAY_SINGLE, + GFC_FCOARRAY_LIB +}; + + +/* gfortran -fconvert= values; used for unformatted I/O. + Keep in sync with GFC_CONVERT_* in gcc/fortran/libgfortran.h. */ +enum gfc_convert +{ + GFC_FLAG_CONVERT_NATIVE = 0, + GFC_FLAG_CONVERT_SWAP, + GFC_FLAG_CONVERT_BIG, + GFC_FLAG_CONVERT_LITTLE +}; + + +#endif /* ! GCC_FLAG_TYPES_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/insn-constants.h b/contrib/toolchain/gcc/5x/gcc/insn-constants.h new file mode 100644 index 0000000000..9780d34968 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/insn-constants.h @@ -0,0 +1,385 @@ +/* Generated automatically by the program `genconstants' + from the machine description file `md'. */ + +#ifndef GCC_INSN_CONSTANTS_H +#define GCC_INSN_CONSTANTS_H + +#define XMM27_REG 64 +#define XMM9_REG 46 +#define ST6_REG 14 +#define MASK5_REG 74 +#define R13_REG 42 +#define XMM14_REG 51 +#define ROUND_CEIL 0x2 +#define PCOM_TRUE 1 +#define XMM7_REG 28 +#define PPERM_SRC 0x00 +#define PPERM_ZERO 0x80 +#define MM7_REG 36 +#define XMM6_REG 27 +#define ST3_REG 11 +#define MASK2_REG 71 +#define R10_REG 39 +#define XMM11_REG 48 +#define XMM19_REG 56 +#define ST1_REG 9 +#define MASK3_REG 72 +#define MM4_REG 33 +#define ST7_REG 15 +#define COM_FALSE_P 3 +#define XMM3_REG 24 +#define XMM24_REG 61 +#define ST0_REG 8 +#define MASK7_REG 76 +#define BND1_REG 78 +#define COM_FALSE_S 2 +#define SP_REG 7 +#define AX_REG 0 +#define BND0_REG 77 +#define ROUND_NO_EXC 0x8 +#define MM1_REG 30 +#define MM3_REG 32 +#define XMM1_REG 22 +#define ROUND_ZERO 3 +#define XMM16_REG 53 +#define FPCR_REG 19 +#define XMM8_REG 45 +#define XMM4_REG 25 +#define ST5_REG 13 +#define XMM23_REG 60 +#define R12_REG 41 +#define R9_REG 38 +#define XMM26_REG 63 +#define ROUND_MXCSR 0x4 +#define PCOM_FALSE 0 +#define MASK4_REG 73 +#define XMM12_REG 49 +#define FLAGS_REG 17 +#define PPERM_INVERT 0x20 +#define MM6_REG 35 +#define PPERM_SRC1 0x00 +#define PPERM_SRC2 0x10 +#define ST2_REG 10 +#define MASK1_REG 70 +#define XMM10_REG 47 +#define XMM20_REG 57 +#define ROUND_TRUNC 0x3 +#define XMM18_REG 55 +#define DI_REG 5 +#define ROUND_SAE 8 +#define XMM25_REG 62 +#define DX_REG 1 +#define XMM29_REG 66 +#define NO_ROUND 4 +#define BP_REG 6 +#define XMM5_REG 26 +#define COM_TRUE_P 5 +#define COM_TRUE_S 4 +#define ROUND_FLOOR 0x1 +#define FPSR_REG 18 +#define MASK6_REG 75 +#define R14_REG 43 +#define XMM28_REG 65 +#define R15_REG 44 +#define XMM13_REG 50 +#define ROUND_NEAREST_INT 0 +#define PPERM_SIGN 0xc0 +#define MM0_REG 29 +#define XMM31_REG 68 +#define BX_REG 3 +#define XMM30_REG 67 +#define ST4_REG 12 +#define PPERM_INV_SIGN 0xe0 +#define R11_REG 40 +#define MM5_REG 34 +#define PPERM_REVERSE 0x40 +#define CX_REG 2 +#define MASK0_REG 69 +#define R8_REG 37 +#define SI_REG 4 +#define XMM22_REG 59 +#define XMM15_REG 52 +#define XMM0_REG 21 +#define XMM17_REG 54 +#define ROUND_NEG_INF 1 +#define ROUND_POS_INF 2 +#define XMM2_REG 23 +#define PPERM_ONES 0xa0 +#define XMM21_REG 58 +#define MM2_REG 31 +#define PPERM_REV_INV 0x60 + +enum unspec { + UNSPEC_GOT = 0, + UNSPEC_GOTOFF = 1, + UNSPEC_GOTPCREL = 2, + UNSPEC_GOTTPOFF = 3, + UNSPEC_TPOFF = 4, + UNSPEC_NTPOFF = 5, + UNSPEC_DTPOFF = 6, + UNSPEC_GOTNTPOFF = 7, + UNSPEC_INDNTPOFF = 8, + UNSPEC_PLTOFF = 9, + UNSPEC_MACHOPIC_OFFSET = 10, + UNSPEC_PCREL = 11, + UNSPEC_SIZEOF = 12, + UNSPEC_STACK_ALLOC = 13, + UNSPEC_SET_GOT = 14, + UNSPEC_SET_RIP = 15, + UNSPEC_SET_GOT_OFFSET = 16, + UNSPEC_MEMORY_BLOCKAGE = 17, + UNSPEC_STACK_CHECK = 18, + UNSPEC_TP = 19, + UNSPEC_TLS_GD = 20, + UNSPEC_TLS_LD_BASE = 21, + UNSPEC_TLSDESC = 22, + UNSPEC_TLS_IE_SUN = 23, + UNSPEC_SCAS = 24, + UNSPEC_FNSTSW = 25, + UNSPEC_SAHF = 26, + UNSPEC_PARITY = 27, + UNSPEC_FSTCW = 28, + UNSPEC_FLDCW = 29, + UNSPEC_REP = 30, + UNSPEC_LD_MPIC = 31, + UNSPEC_TRUNC_NOOP = 32, + UNSPEC_DIV_ALREADY_SPLIT = 33, + UNSPEC_PAUSE = 34, + UNSPEC_LEA_ADDR = 35, + UNSPEC_XBEGIN_ABORT = 36, + UNSPEC_STOS = 37, + UNSPEC_PEEPSIB = 38, + UNSPEC_INSN_FALSE_DEP = 39, + UNSPEC_FIX_NOTRUNC = 40, + UNSPEC_MASKMOV = 41, + UNSPEC_MOVMSK = 42, + UNSPEC_RCP = 43, + UNSPEC_RSQRT = 44, + UNSPEC_PSADBW = 45, + UNSPEC_COPYSIGN = 46, + UNSPEC_IEEE_MIN = 47, + UNSPEC_IEEE_MAX = 48, + UNSPEC_SIN = 49, + UNSPEC_COS = 50, + UNSPEC_FPATAN = 51, + UNSPEC_FYL2X = 52, + UNSPEC_FYL2XP1 = 53, + UNSPEC_FRNDINT = 54, + UNSPEC_FIST = 55, + UNSPEC_F2XM1 = 56, + UNSPEC_TAN = 57, + UNSPEC_FXAM = 58, + UNSPEC_FRNDINT_FLOOR = 59, + UNSPEC_FRNDINT_CEIL = 60, + UNSPEC_FRNDINT_TRUNC = 61, + UNSPEC_FRNDINT_MASK_PM = 62, + UNSPEC_FIST_FLOOR = 63, + UNSPEC_FIST_CEIL = 64, + UNSPEC_SINCOS_COS = 65, + UNSPEC_SINCOS_SIN = 66, + UNSPEC_XTRACT_FRACT = 67, + UNSPEC_XTRACT_EXP = 68, + UNSPEC_FSCALE_FRACT = 69, + UNSPEC_FSCALE_EXP = 70, + UNSPEC_FPREM_F = 71, + UNSPEC_FPREM_U = 72, + UNSPEC_FPREM1_F = 73, + UNSPEC_FPREM1_U = 74, + UNSPEC_C2_FLAG = 75, + UNSPEC_FXAM_MEM = 76, + UNSPEC_SP_SET = 77, + UNSPEC_SP_TEST = 78, + UNSPEC_SP_TLS_SET = 79, + UNSPEC_SP_TLS_TEST = 80, + UNSPEC_ROUND = 81, + UNSPEC_CRC32 = 82, + UNSPEC_BEXTR = 83, + UNSPEC_PDEP = 84, + UNSPEC_PEXT = 85, + UNSPEC_KMOV = 86, + UNSPEC_BNDMK = 87, + UNSPEC_BNDMK_ADDR = 88, + UNSPEC_BNDSTX = 89, + UNSPEC_BNDLDX = 90, + UNSPEC_BNDLDX_ADDR = 91, + UNSPEC_BNDCL = 92, + UNSPEC_BNDCU = 93, + UNSPEC_BNDCN = 94, + UNSPEC_MPX_FENCE = 95, + UNSPEC_MOVNTQ = 96, + UNSPEC_PFRCP = 97, + UNSPEC_PFRCPIT1 = 98, + UNSPEC_PFRCPIT2 = 99, + UNSPEC_PFRSQRT = 100, + UNSPEC_PFRSQIT1 = 101, + UNSPEC_MOVNT = 102, + UNSPEC_LOADU = 103, + UNSPEC_STOREU = 104, + UNSPEC_LDDQU = 105, + UNSPEC_PSHUFB = 106, + UNSPEC_PSIGN = 107, + UNSPEC_PALIGNR = 108, + UNSPEC_EXTRQI = 109, + UNSPEC_EXTRQ = 110, + UNSPEC_INSERTQI = 111, + UNSPEC_INSERTQ = 112, + UNSPEC_BLENDV = 113, + UNSPEC_INSERTPS = 114, + UNSPEC_DP = 115, + UNSPEC_MOVNTDQA = 116, + UNSPEC_MPSADBW = 117, + UNSPEC_PHMINPOSUW = 118, + UNSPEC_PTEST = 119, + UNSPEC_PCMPESTR = 120, + UNSPEC_PCMPISTR = 121, + UNSPEC_FMADDSUB = 122, + UNSPEC_XOP_UNSIGNED_CMP = 123, + UNSPEC_XOP_TRUEFALSE = 124, + UNSPEC_XOP_PERMUTE = 125, + UNSPEC_FRCZ = 126, + UNSPEC_AESENC = 127, + UNSPEC_AESENCLAST = 128, + UNSPEC_AESDEC = 129, + UNSPEC_AESDECLAST = 130, + UNSPEC_AESIMC = 131, + UNSPEC_AESKEYGENASSIST = 132, + UNSPEC_PCLMUL = 133, + UNSPEC_PCMP = 134, + UNSPEC_VPERMIL = 135, + UNSPEC_VPERMIL2 = 136, + UNSPEC_VPERMIL2F128 = 137, + UNSPEC_CAST = 138, + UNSPEC_VTESTP = 139, + UNSPEC_VCVTPH2PS = 140, + UNSPEC_VCVTPS2PH = 141, + UNSPEC_VPERMVAR = 142, + UNSPEC_VPERMTI = 143, + UNSPEC_GATHER = 144, + UNSPEC_VSIBADDR = 145, + UNSPEC_VPERMI2 = 146, + UNSPEC_VPERMT2 = 147, + UNSPEC_VPERMI2_MASK = 148, + UNSPEC_UNSIGNED_FIX_NOTRUNC = 149, + UNSPEC_UNSIGNED_PCMP = 150, + UNSPEC_TESTM = 151, + UNSPEC_TESTNM = 152, + UNSPEC_SCATTER = 153, + UNSPEC_RCP14 = 154, + UNSPEC_RSQRT14 = 155, + UNSPEC_FIXUPIMM = 156, + UNSPEC_SCALEF = 157, + UNSPEC_VTERNLOG = 158, + UNSPEC_GETEXP = 159, + UNSPEC_GETMANT = 160, + UNSPEC_ALIGN = 161, + UNSPEC_CONFLICT = 162, + UNSPEC_COMPRESS = 163, + UNSPEC_COMPRESS_STORE = 164, + UNSPEC_EXPAND = 165, + UNSPEC_MASKED_EQ = 166, + UNSPEC_MASKED_GT = 167, + UNSPEC_EMBEDDED_ROUNDING = 168, + UNSPEC_GATHER_PREFETCH = 169, + UNSPEC_SCATTER_PREFETCH = 170, + UNSPEC_EXP2 = 171, + UNSPEC_RCP28 = 172, + UNSPEC_RSQRT28 = 173, + UNSPEC_SHA1MSG1 = 174, + UNSPEC_SHA1MSG2 = 175, + UNSPEC_SHA1NEXTE = 176, + UNSPEC_SHA1RNDS4 = 177, + UNSPEC_SHA256MSG1 = 178, + UNSPEC_SHA256MSG2 = 179, + UNSPEC_SHA256RNDS2 = 180, + UNSPEC_DBPSADBW = 181, + UNSPEC_PMADDUBSW512 = 182, + UNSPEC_PMADDWD512 = 183, + UNSPEC_PSHUFHW = 184, + UNSPEC_PSHUFLW = 185, + UNSPEC_CVTINT2MASK = 186, + UNSPEC_REDUCE = 187, + UNSPEC_FPCLASS = 188, + UNSPEC_RANGE = 189, + UNSPEC_VPMADD52LUQ = 190, + UNSPEC_VPMADD52HUQ = 191, + UNSPEC_VPMULTISHIFT = 192, + UNSPEC_LFENCE = 193, + UNSPEC_SFENCE = 194, + UNSPEC_MFENCE = 195, + UNSPEC_FILD_ATOMIC = 196, + UNSPEC_FIST_ATOMIC = 197, + UNSPEC_LDA = 198, + UNSPEC_STA = 199 +}; +#define NUM_UNSPEC_VALUES 200 +extern const char *const unspec_strings[]; + +enum unspecv { + UNSPECV_BLOCKAGE = 0, + UNSPECV_STACK_PROBE = 1, + UNSPECV_PROBE_STACK_RANGE = 2, + UNSPECV_ALIGN = 3, + UNSPECV_PROLOGUE_USE = 4, + UNSPECV_SPLIT_STACK_RETURN = 5, + UNSPECV_CLD = 6, + UNSPECV_NOPS = 7, + UNSPECV_RDTSC = 8, + UNSPECV_RDTSCP = 9, + UNSPECV_RDPMC = 10, + UNSPECV_LLWP_INTRINSIC = 11, + UNSPECV_SLWP_INTRINSIC = 12, + UNSPECV_LWPVAL_INTRINSIC = 13, + UNSPECV_LWPINS_INTRINSIC = 14, + UNSPECV_RDFSBASE = 15, + UNSPECV_RDGSBASE = 16, + UNSPECV_WRFSBASE = 17, + UNSPECV_WRGSBASE = 18, + UNSPECV_FXSAVE = 19, + UNSPECV_FXRSTOR = 20, + UNSPECV_FXSAVE64 = 21, + UNSPECV_FXRSTOR64 = 22, + UNSPECV_XSAVE = 23, + UNSPECV_XRSTOR = 24, + UNSPECV_XSAVE64 = 25, + UNSPECV_XRSTOR64 = 26, + UNSPECV_XSAVEOPT = 27, + UNSPECV_XSAVEOPT64 = 28, + UNSPECV_XSAVES = 29, + UNSPECV_XRSTORS = 30, + UNSPECV_XSAVES64 = 31, + UNSPECV_XRSTORS64 = 32, + UNSPECV_XSAVEC = 33, + UNSPECV_XSAVEC64 = 34, + UNSPECV_FNSTENV = 35, + UNSPECV_FLDENV = 36, + UNSPECV_FNSTSW = 37, + UNSPECV_FNCLEX = 38, + UNSPECV_RDRAND = 39, + UNSPECV_RDSEED = 40, + UNSPECV_XBEGIN = 41, + UNSPECV_XEND = 42, + UNSPECV_XABORT = 43, + UNSPECV_XTEST = 44, + UNSPECV_NLGR = 45, + UNSPECV_CLWB = 46, + UNSPECV_PCOMMIT = 47, + UNSPECV_CLFLUSHOPT = 48, + UNSPECV_MONITORX = 49, + UNSPECV_MWAITX = 50, + UNSPECV_EMMS = 51, + UNSPECV_FEMMS = 52, + UNSPECV_LDMXCSR = 53, + UNSPECV_STMXCSR = 54, + UNSPECV_CLFLUSH = 55, + UNSPECV_MONITOR = 56, + UNSPECV_MWAIT = 57, + UNSPECV_VZEROALL = 58, + UNSPECV_VZEROUPPER = 59, + UNSPECV_CMPXCHG = 60, + UNSPECV_XCHG = 61, + UNSPECV_LOCK = 62 +}; +#define NUM_UNSPECV_VALUES 63 +extern const char *const unspecv_strings[]; + +#endif /* GCC_INSN_CONSTANTS_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/insn-modes.h b/contrib/toolchain/gcc/5x/gcc/insn-modes.h new file mode 100644 index 0000000000..f26ec0bc96 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/insn-modes.h @@ -0,0 +1,638 @@ +/* Generated automatically from machmode.def and config/i386/i386-modes.def + by genmodes. */ + +#ifndef GCC_INSN_MODES_H +#define GCC_INSN_MODES_H + +enum machine_mode +{ + VOIDmode, /* machmode.def:172 */ +#define HAVE_VOIDmode + BLKmode, /* machmode.def:176 */ +#define HAVE_BLKmode + CCmode, /* machmode.def:214 */ +#define HAVE_CCmode + CCGCmode, /* config/i386/i386-modes.def:61 */ +#define HAVE_CCGCmode + CCGOCmode, /* config/i386/i386-modes.def:62 */ +#define HAVE_CCGOCmode + CCNOmode, /* config/i386/i386-modes.def:63 */ +#define HAVE_CCNOmode + CCAmode, /* config/i386/i386-modes.def:64 */ +#define HAVE_CCAmode + CCCmode, /* config/i386/i386-modes.def:65 */ +#define HAVE_CCCmode + CCOmode, /* config/i386/i386-modes.def:66 */ +#define HAVE_CCOmode + CCSmode, /* config/i386/i386-modes.def:67 */ +#define HAVE_CCSmode + CCZmode, /* config/i386/i386-modes.def:68 */ +#define HAVE_CCZmode + CCFPmode, /* config/i386/i386-modes.def:69 */ +#define HAVE_CCFPmode + CCFPUmode, /* config/i386/i386-modes.def:70 */ +#define HAVE_CCFPUmode + BImode, /* machmode.def:179 */ +#define HAVE_BImode + QImode, /* machmode.def:187 */ +#define HAVE_QImode + HImode, /* machmode.def:188 */ +#define HAVE_HImode + SImode, /* machmode.def:189 */ +#define HAVE_SImode + DImode, /* machmode.def:190 */ +#define HAVE_DImode + TImode, /* machmode.def:191 */ +#define HAVE_TImode + OImode, /* config/i386/i386-modes.def:96 */ +#define HAVE_OImode + XImode, /* config/i386/i386-modes.def:97 */ +#define HAVE_XImode + BND32mode, /* config/i386/i386-modes.def:93 */ +#define HAVE_BND32mode + BND64mode, /* config/i386/i386-modes.def:94 */ +#define HAVE_BND64mode + QQmode, /* machmode.def:217 */ +#define HAVE_QQmode + HQmode, /* machmode.def:218 */ +#define HAVE_HQmode + SQmode, /* machmode.def:219 */ +#define HAVE_SQmode + DQmode, /* machmode.def:220 */ +#define HAVE_DQmode + TQmode, /* machmode.def:221 */ +#define HAVE_TQmode + UQQmode, /* machmode.def:223 */ +#define HAVE_UQQmode + UHQmode, /* machmode.def:224 */ +#define HAVE_UHQmode + USQmode, /* machmode.def:225 */ +#define HAVE_USQmode + UDQmode, /* machmode.def:226 */ +#define HAVE_UDQmode + UTQmode, /* machmode.def:227 */ +#define HAVE_UTQmode + HAmode, /* machmode.def:229 */ +#define HAVE_HAmode + SAmode, /* machmode.def:230 */ +#define HAVE_SAmode + DAmode, /* machmode.def:231 */ +#define HAVE_DAmode + TAmode, /* machmode.def:232 */ +#define HAVE_TAmode + UHAmode, /* machmode.def:234 */ +#define HAVE_UHAmode + USAmode, /* machmode.def:235 */ +#define HAVE_USAmode + UDAmode, /* machmode.def:236 */ +#define HAVE_UDAmode + UTAmode, /* machmode.def:237 */ +#define HAVE_UTAmode + SFmode, /* machmode.def:209 */ +#define HAVE_SFmode + DFmode, /* machmode.def:210 */ +#define HAVE_DFmode + XFmode, /* config/i386/i386-modes.def:24 */ +#define HAVE_XFmode + TFmode, /* config/i386/i386-modes.def:25 */ +#define HAVE_TFmode + SDmode, /* machmode.def:249 */ +#define HAVE_SDmode + DDmode, /* machmode.def:250 */ +#define HAVE_DDmode + TDmode, /* machmode.def:251 */ +#define HAVE_TDmode + CQImode, /* machmode.def:245 */ +#define HAVE_CQImode + CHImode, /* machmode.def:245 */ +#define HAVE_CHImode + CSImode, /* machmode.def:245 */ +#define HAVE_CSImode + CDImode, /* machmode.def:245 */ +#define HAVE_CDImode + CTImode, /* machmode.def:245 */ +#define HAVE_CTImode + COImode, /* machmode.def:245 */ +#define HAVE_COImode + CXImode, /* machmode.def:245 */ +#define HAVE_CXImode + SCmode, /* machmode.def:246 */ +#define HAVE_SCmode + DCmode, /* machmode.def:246 */ +#define HAVE_DCmode + XCmode, /* machmode.def:246 */ +#define HAVE_XCmode + TCmode, /* machmode.def:246 */ +#define HAVE_TCmode + V2QImode, /* config/i386/i386-modes.def:88 */ +#define HAVE_V2QImode + V4QImode, /* config/i386/i386-modes.def:74 */ +#define HAVE_V4QImode + V2HImode, /* config/i386/i386-modes.def:74 */ +#define HAVE_V2HImode + V1SImode, /* config/i386/i386-modes.def:87 */ +#define HAVE_V1SImode + V8QImode, /* config/i386/i386-modes.def:75 */ +#define HAVE_V8QImode + V4HImode, /* config/i386/i386-modes.def:75 */ +#define HAVE_V4HImode + V2SImode, /* config/i386/i386-modes.def:75 */ +#define HAVE_V2SImode + V1DImode, /* config/i386/i386-modes.def:86 */ +#define HAVE_V1DImode + V12QImode, /* config/i386/i386-modes.def:89 */ +#define HAVE_V12QImode + V6HImode, /* config/i386/i386-modes.def:91 */ +#define HAVE_V6HImode + V14QImode, /* config/i386/i386-modes.def:90 */ +#define HAVE_V14QImode + V16QImode, /* config/i386/i386-modes.def:76 */ +#define HAVE_V16QImode + V8HImode, /* config/i386/i386-modes.def:76 */ +#define HAVE_V8HImode + V4SImode, /* config/i386/i386-modes.def:76 */ +#define HAVE_V4SImode + V2DImode, /* config/i386/i386-modes.def:76 */ +#define HAVE_V2DImode + V1TImode, /* config/i386/i386-modes.def:85 */ +#define HAVE_V1TImode + V32QImode, /* config/i386/i386-modes.def:77 */ +#define HAVE_V32QImode + V16HImode, /* config/i386/i386-modes.def:77 */ +#define HAVE_V16HImode + V8SImode, /* config/i386/i386-modes.def:77 */ +#define HAVE_V8SImode + V4DImode, /* config/i386/i386-modes.def:77 */ +#define HAVE_V4DImode + V2TImode, /* config/i386/i386-modes.def:77 */ +#define HAVE_V2TImode + V64QImode, /* config/i386/i386-modes.def:78 */ +#define HAVE_V64QImode + V32HImode, /* config/i386/i386-modes.def:78 */ +#define HAVE_V32HImode + V16SImode, /* config/i386/i386-modes.def:78 */ +#define HAVE_V16SImode + V8DImode, /* config/i386/i386-modes.def:78 */ +#define HAVE_V8DImode + V4TImode, /* config/i386/i386-modes.def:78 */ +#define HAVE_V4TImode + V128QImode, /* config/i386/i386-modes.def:79 */ +#define HAVE_V128QImode + V64HImode, /* config/i386/i386-modes.def:79 */ +#define HAVE_V64HImode + V32SImode, /* config/i386/i386-modes.def:79 */ +#define HAVE_V32SImode + V16DImode, /* config/i386/i386-modes.def:79 */ +#define HAVE_V16DImode + V8TImode, /* config/i386/i386-modes.def:79 */ +#define HAVE_V8TImode + V2SFmode, /* config/i386/i386-modes.def:80 */ +#define HAVE_V2SFmode + V4SFmode, /* config/i386/i386-modes.def:81 */ +#define HAVE_V4SFmode + V2DFmode, /* config/i386/i386-modes.def:81 */ +#define HAVE_V2DFmode + V8SFmode, /* config/i386/i386-modes.def:82 */ +#define HAVE_V8SFmode + V4DFmode, /* config/i386/i386-modes.def:82 */ +#define HAVE_V4DFmode + V2TFmode, /* config/i386/i386-modes.def:82 */ +#define HAVE_V2TFmode + V16SFmode, /* config/i386/i386-modes.def:83 */ +#define HAVE_V16SFmode + V8DFmode, /* config/i386/i386-modes.def:83 */ +#define HAVE_V8DFmode + V4TFmode, /* config/i386/i386-modes.def:83 */ +#define HAVE_V4TFmode + V32SFmode, /* config/i386/i386-modes.def:84 */ +#define HAVE_V32SFmode + V16DFmode, /* config/i386/i386-modes.def:84 */ +#define HAVE_V16DFmode + V8TFmode, /* config/i386/i386-modes.def:84 */ +#define HAVE_V8TFmode + MAX_MACHINE_MODE, + + MIN_MODE_RANDOM = VOIDmode, + MAX_MODE_RANDOM = BLKmode, + + MIN_MODE_CC = CCmode, + MAX_MODE_CC = CCFPUmode, + + MIN_MODE_INT = QImode, + MAX_MODE_INT = XImode, + + MIN_MODE_PARTIAL_INT = VOIDmode, + MAX_MODE_PARTIAL_INT = VOIDmode, + + MIN_MODE_POINTER_BOUNDS = BND32mode, + MAX_MODE_POINTER_BOUNDS = BND64mode, + + MIN_MODE_FRACT = QQmode, + MAX_MODE_FRACT = TQmode, + + MIN_MODE_UFRACT = UQQmode, + MAX_MODE_UFRACT = UTQmode, + + MIN_MODE_ACCUM = HAmode, + MAX_MODE_ACCUM = TAmode, + + MIN_MODE_UACCUM = UHAmode, + MAX_MODE_UACCUM = UTAmode, + + MIN_MODE_FLOAT = SFmode, + MAX_MODE_FLOAT = TFmode, + + MIN_MODE_DECIMAL_FLOAT = SDmode, + MAX_MODE_DECIMAL_FLOAT = TDmode, + + MIN_MODE_COMPLEX_INT = CQImode, + MAX_MODE_COMPLEX_INT = CXImode, + + MIN_MODE_COMPLEX_FLOAT = SCmode, + MAX_MODE_COMPLEX_FLOAT = TCmode, + + MIN_MODE_VECTOR_INT = V2QImode, + MAX_MODE_VECTOR_INT = V8TImode, + + MIN_MODE_VECTOR_FRACT = VOIDmode, + MAX_MODE_VECTOR_FRACT = VOIDmode, + + MIN_MODE_VECTOR_UFRACT = VOIDmode, + MAX_MODE_VECTOR_UFRACT = VOIDmode, + + MIN_MODE_VECTOR_ACCUM = VOIDmode, + MAX_MODE_VECTOR_ACCUM = VOIDmode, + + MIN_MODE_VECTOR_UACCUM = VOIDmode, + MAX_MODE_VECTOR_UACCUM = VOIDmode, + + MIN_MODE_VECTOR_FLOAT = V2SFmode, + MAX_MODE_VECTOR_FLOAT = V8TFmode, + + NUM_MACHINE_MODES = MAX_MACHINE_MODE +}; + +#define CONST_MODE_SIZE +#define CONST_MODE_BASE_ALIGN +#define CONST_MODE_IBIT const +#define CONST_MODE_FBIT const + +#define BITS_PER_UNIT (8) +#define MAX_BITSIZE_MODE_ANY_INT 128 +#define MAX_BITSIZE_MODE_ANY_MODE (128*BITS_PER_UNIT) +#define NUM_INT_N_ENTS 1 + +#if !defined (USED_FOR_TARGET) && GCC_VERSION >= 4001 + +#ifdef __cplusplus +inline __attribute__((__always_inline__)) +#else +extern __inline__ __attribute__((__always_inline__, __gnu_inline__)) +#endif +unsigned char +mode_size_inline (machine_mode mode) +{ + extern unsigned char mode_size[NUM_MACHINE_MODES]; + switch (mode) + { + case VOIDmode: return 0; + case BLKmode: return 0; + case CCmode: return 4; + case CCGCmode: return 4; + case CCGOCmode: return 4; + case CCNOmode: return 4; + case CCAmode: return 4; + case CCCmode: return 4; + case CCOmode: return 4; + case CCSmode: return 4; + case CCZmode: return 4; + case CCFPmode: return 4; + case CCFPUmode: return 4; + case BImode: return 1; + case QImode: return 1; + case HImode: return 2; + case SImode: return 4; + case DImode: return 8; + case TImode: return 16; + case OImode: return 32; + case XImode: return 64; + case BND32mode: return 8; + case BND64mode: return 16; + case QQmode: return 1; + case HQmode: return 2; + case SQmode: return 4; + case DQmode: return 8; + case TQmode: return 16; + case UQQmode: return 1; + case UHQmode: return 2; + case USQmode: return 4; + case UDQmode: return 8; + case UTQmode: return 16; + case HAmode: return 2; + case SAmode: return 4; + case DAmode: return 8; + case TAmode: return 16; + case UHAmode: return 2; + case USAmode: return 4; + case UDAmode: return 8; + case UTAmode: return 16; + case SFmode: return 4; + case DFmode: return 8; + case TFmode: return 16; + case SDmode: return 4; + case DDmode: return 8; + case TDmode: return 16; + case CQImode: return 2; + case CHImode: return 4; + case CSImode: return 8; + case CDImode: return 16; + case CTImode: return 32; + case COImode: return 64; + case CXImode: return 128; + case SCmode: return 8; + case DCmode: return 16; + case TCmode: return 32; + case V2QImode: return 2; + case V4QImode: return 4; + case V2HImode: return 4; + case V1SImode: return 4; + case V8QImode: return 8; + case V4HImode: return 8; + case V2SImode: return 8; + case V1DImode: return 8; + case V12QImode: return 12; + case V6HImode: return 12; + case V14QImode: return 14; + case V16QImode: return 16; + case V8HImode: return 16; + case V4SImode: return 16; + case V2DImode: return 16; + case V1TImode: return 16; + case V32QImode: return 32; + case V16HImode: return 32; + case V8SImode: return 32; + case V4DImode: return 32; + case V2TImode: return 32; + case V64QImode: return 64; + case V32HImode: return 64; + case V16SImode: return 64; + case V8DImode: return 64; + case V4TImode: return 64; + case V128QImode: return 128; + case V64HImode: return 128; + case V32SImode: return 128; + case V16DImode: return 128; + case V8TImode: return 128; + case V2SFmode: return 8; + case V4SFmode: return 16; + case V2DFmode: return 16; + case V8SFmode: return 32; + case V4DFmode: return 32; + case V2TFmode: return 32; + case V16SFmode: return 64; + case V8DFmode: return 64; + case V4TFmode: return 64; + case V32SFmode: return 128; + case V16DFmode: return 128; + case V8TFmode: return 128; + default: return mode_size[mode]; + } +} + +#ifdef __cplusplus +inline __attribute__((__always_inline__)) +#else +extern __inline__ __attribute__((__always_inline__, __gnu_inline__)) +#endif +unsigned char +mode_nunits_inline (machine_mode mode) +{ + extern const unsigned char mode_nunits[NUM_MACHINE_MODES]; + switch (mode) + { + case VOIDmode: return 0; + case BLKmode: return 0; + case CCmode: return 1; + case CCGCmode: return 1; + case CCGOCmode: return 1; + case CCNOmode: return 1; + case CCAmode: return 1; + case CCCmode: return 1; + case CCOmode: return 1; + case CCSmode: return 1; + case CCZmode: return 1; + case CCFPmode: return 1; + case CCFPUmode: return 1; + case BImode: return 1; + case QImode: return 1; + case HImode: return 1; + case SImode: return 1; + case DImode: return 1; + case TImode: return 1; + case OImode: return 1; + case XImode: return 1; + case BND32mode: return 1; + case BND64mode: return 1; + case QQmode: return 1; + case HQmode: return 1; + case SQmode: return 1; + case DQmode: return 1; + case TQmode: return 1; + case UQQmode: return 1; + case UHQmode: return 1; + case USQmode: return 1; + case UDQmode: return 1; + case UTQmode: return 1; + case HAmode: return 1; + case SAmode: return 1; + case DAmode: return 1; + case TAmode: return 1; + case UHAmode: return 1; + case USAmode: return 1; + case UDAmode: return 1; + case UTAmode: return 1; + case SFmode: return 1; + case DFmode: return 1; + case XFmode: return 1; + case TFmode: return 1; + case SDmode: return 1; + case DDmode: return 1; + case TDmode: return 1; + case CQImode: return 2; + case CHImode: return 2; + case CSImode: return 2; + case CDImode: return 2; + case CTImode: return 2; + case COImode: return 2; + case CXImode: return 2; + case SCmode: return 2; + case DCmode: return 2; + case XCmode: return 2; + case TCmode: return 2; + case V2QImode: return 2; + case V4QImode: return 4; + case V2HImode: return 2; + case V1SImode: return 1; + case V8QImode: return 8; + case V4HImode: return 4; + case V2SImode: return 2; + case V1DImode: return 1; + case V12QImode: return 12; + case V6HImode: return 6; + case V14QImode: return 14; + case V16QImode: return 16; + case V8HImode: return 8; + case V4SImode: return 4; + case V2DImode: return 2; + case V1TImode: return 1; + case V32QImode: return 32; + case V16HImode: return 16; + case V8SImode: return 8; + case V4DImode: return 4; + case V2TImode: return 2; + case V64QImode: return 64; + case V32HImode: return 32; + case V16SImode: return 16; + case V8DImode: return 8; + case V4TImode: return 4; + case V128QImode: return 128; + case V64HImode: return 64; + case V32SImode: return 32; + case V16DImode: return 16; + case V8TImode: return 8; + case V2SFmode: return 2; + case V4SFmode: return 4; + case V2DFmode: return 2; + case V8SFmode: return 8; + case V4DFmode: return 4; + case V2TFmode: return 2; + case V16SFmode: return 16; + case V8DFmode: return 8; + case V4TFmode: return 4; + case V32SFmode: return 32; + case V16DFmode: return 16; + case V8TFmode: return 8; + default: return mode_nunits[mode]; + } +} + +#ifdef __cplusplus +inline __attribute__((__always_inline__)) +#else +extern __inline__ __attribute__((__always_inline__, __gnu_inline__)) +#endif +unsigned char +mode_inner_inline (machine_mode mode) +{ + extern const unsigned char mode_inner[NUM_MACHINE_MODES]; + switch (mode) + { + case VOIDmode: return VOIDmode; + case BLKmode: return VOIDmode; + case CCmode: return VOIDmode; + case CCGCmode: return VOIDmode; + case CCGOCmode: return VOIDmode; + case CCNOmode: return VOIDmode; + case CCAmode: return VOIDmode; + case CCCmode: return VOIDmode; + case CCOmode: return VOIDmode; + case CCSmode: return VOIDmode; + case CCZmode: return VOIDmode; + case CCFPmode: return VOIDmode; + case CCFPUmode: return VOIDmode; + case BImode: return VOIDmode; + case QImode: return VOIDmode; + case HImode: return VOIDmode; + case SImode: return VOIDmode; + case DImode: return VOIDmode; + case TImode: return VOIDmode; + case OImode: return VOIDmode; + case XImode: return VOIDmode; + case BND32mode: return VOIDmode; + case BND64mode: return VOIDmode; + case QQmode: return VOIDmode; + case HQmode: return VOIDmode; + case SQmode: return VOIDmode; + case DQmode: return VOIDmode; + case TQmode: return VOIDmode; + case UQQmode: return VOIDmode; + case UHQmode: return VOIDmode; + case USQmode: return VOIDmode; + case UDQmode: return VOIDmode; + case UTQmode: return VOIDmode; + case HAmode: return VOIDmode; + case SAmode: return VOIDmode; + case DAmode: return VOIDmode; + case TAmode: return VOIDmode; + case UHAmode: return VOIDmode; + case USAmode: return VOIDmode; + case UDAmode: return VOIDmode; + case UTAmode: return VOIDmode; + case SFmode: return VOIDmode; + case DFmode: return VOIDmode; + case XFmode: return VOIDmode; + case TFmode: return VOIDmode; + case SDmode: return VOIDmode; + case DDmode: return VOIDmode; + case TDmode: return VOIDmode; + case CQImode: return QImode; + case CHImode: return HImode; + case CSImode: return SImode; + case CDImode: return DImode; + case CTImode: return TImode; + case COImode: return OImode; + case CXImode: return XImode; + case SCmode: return SFmode; + case DCmode: return DFmode; + case XCmode: return XFmode; + case TCmode: return TFmode; + case V2QImode: return QImode; + case V4QImode: return QImode; + case V2HImode: return HImode; + case V1SImode: return SImode; + case V8QImode: return QImode; + case V4HImode: return HImode; + case V2SImode: return SImode; + case V1DImode: return DImode; + case V12QImode: return QImode; + case V6HImode: return HImode; + case V14QImode: return QImode; + case V16QImode: return QImode; + case V8HImode: return HImode; + case V4SImode: return SImode; + case V2DImode: return DImode; + case V1TImode: return TImode; + case V32QImode: return QImode; + case V16HImode: return HImode; + case V8SImode: return SImode; + case V4DImode: return DImode; + case V2TImode: return TImode; + case V64QImode: return QImode; + case V32HImode: return HImode; + case V16SImode: return SImode; + case V8DImode: return DImode; + case V4TImode: return TImode; + case V128QImode: return QImode; + case V64HImode: return HImode; + case V32SImode: return SImode; + case V16DImode: return DImode; + case V8TImode: return TImode; + case V2SFmode: return SFmode; + case V4SFmode: return SFmode; + case V2DFmode: return DFmode; + case V8SFmode: return SFmode; + case V4DFmode: return DFmode; + case V2TFmode: return TFmode; + case V16SFmode: return SFmode; + case V8DFmode: return DFmode; + case V4TFmode: return TFmode; + case V32SFmode: return SFmode; + case V16DFmode: return DFmode; + case V8TFmode: return TFmode; + default: return mode_inner[mode]; + } +} + +#endif /* GCC_VERSION >= 4001 */ + +#endif /* insn-modes.h */ diff --git a/contrib/toolchain/gcc/5x/gcc/options.h b/contrib/toolchain/gcc/5x/gcc/options.h new file mode 100644 index 0000000000..f73e72c0c9 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/options.h @@ -0,0 +1,6858 @@ +/* This file is auto-generated by opth-gen.awk. */ + +#ifndef OPTIONS_H +#define OPTIONS_H + +#include "flag-types.h" + +#include "config/i386/i386-opts.h" + +#if !defined(IN_LIBGCC2) && !defined(IN_TARGET_LIBS) && !defined(IN_RTS) +#ifndef GENERATOR_FILE +#if !defined(IN_LIBGCC2) && !defined(IN_TARGET_LIBS) +struct GTY(()) gcc_options +#else +struct gcc_options +#endif +{ +#endif +#ifdef GENERATOR_FILE +extern int recip_mask; +#else + int x_recip_mask; +#define recip_mask global_options.x_recip_mask +#endif +#ifdef GENERATOR_FILE +extern HOST_WIDE_INT frame_larger_than_size; +#else + HOST_WIDE_INT x_frame_larger_than_size; +#define frame_larger_than_size global_options.x_frame_larger_than_size +#endif +#ifdef GENERATOR_FILE +extern HOST_WIDE_INT ix86_isa_flags; +#else + HOST_WIDE_INT x_ix86_isa_flags; +#define ix86_isa_flags global_options.x_ix86_isa_flags +#endif +#ifdef GENERATOR_FILE +extern HOST_WIDE_INT ix86_isa_flags_explicit; +#else + HOST_WIDE_INT x_ix86_isa_flags_explicit; +#define ix86_isa_flags_explicit global_options.x_ix86_isa_flags_explicit +#endif +#ifdef GENERATOR_FILE +extern HOST_WIDE_INT larger_than_size; +#else + HOST_WIDE_INT x_larger_than_size; +#define larger_than_size global_options.x_larger_than_size +#endif +#ifdef GENERATOR_FILE +extern bool dump_base_name_prefixed; +#else + bool x_dump_base_name_prefixed; +#define dump_base_name_prefixed global_options.x_dump_base_name_prefixed +#endif +#ifdef GENERATOR_FILE +extern bool exit_after_options; +#else + bool x_exit_after_options; +#define exit_after_options global_options.x_exit_after_options +#endif +#ifdef GENERATOR_FILE +extern bool flag_dump_all_passed; +#else + bool x_flag_dump_all_passed; +#define flag_dump_all_passed global_options.x_flag_dump_all_passed +#endif +#ifdef GENERATOR_FILE +extern bool flag_opts_finished; +#else + bool x_flag_opts_finished; +#define flag_opts_finished global_options.x_flag_opts_finished +#endif +#ifdef GENERATOR_FILE +extern bool flag_stack_usage_info; +#else + bool x_flag_stack_usage_info; +#define flag_stack_usage_info global_options.x_flag_stack_usage_info +#endif +#ifdef GENERATOR_FILE +extern bool flag_warn_unused_result; +#else + bool x_flag_warn_unused_result; +#define flag_warn_unused_result global_options.x_flag_warn_unused_result +#endif +#ifdef GENERATOR_FILE +extern bool in_lto_p; +#else + bool x_in_lto_p; +#define in_lto_p global_options.x_in_lto_p +#endif +#ifdef GENERATOR_FILE +extern bool use_gnu_debug_info_extensions; +#else + bool x_use_gnu_debug_info_extensions; +#define use_gnu_debug_info_extensions global_options.x_use_gnu_debug_info_extensions +#endif +#ifdef GENERATOR_FILE +extern bool warn_frame_larger_than; +#else + bool x_warn_frame_larger_than; +#define warn_frame_larger_than global_options.x_warn_frame_larger_than +#endif +#ifdef GENERATOR_FILE +extern bool warn_larger_than; +#else + bool x_warn_larger_than; +#define warn_larger_than global_options.x_warn_larger_than +#endif +#ifdef GENERATOR_FILE +extern char *help_enum_printed; +#else + char * x_help_enum_printed; +#define help_enum_printed global_options.x_help_enum_printed +#endif +#ifdef GENERATOR_FILE +extern char *help_printed; +#else + char * x_help_printed; +#define help_printed global_options.x_help_printed +#endif +#ifdef GENERATOR_FILE +extern const char *main_input_basename; +#else + const char * x_main_input_basename; +#define main_input_basename global_options.x_main_input_basename +#endif +#ifdef GENERATOR_FILE +extern const char *main_input_filename; +#else + const char * x_main_input_filename; +#define main_input_filename global_options.x_main_input_filename +#endif +#ifdef GENERATOR_FILE +extern enum debug_info_levels debug_info_level; +#else + enum debug_info_levels x_debug_info_level; +#define debug_info_level global_options.x_debug_info_level +#endif +#ifdef GENERATOR_FILE +extern enum debug_info_type write_symbols; +#else + enum debug_info_type x_write_symbols; +#define write_symbols global_options.x_write_symbols +#endif +#ifdef GENERATOR_FILE +extern enum debug_struct_file debug_struct_generic[DINFO_USAGE_NUM_ENUMS]; +#else + enum debug_struct_file x_debug_struct_generic[DINFO_USAGE_NUM_ENUMS]; +#define debug_struct_generic global_options.x_debug_struct_generic +#endif +#ifdef GENERATOR_FILE +extern enum debug_struct_file debug_struct_ordinary[DINFO_USAGE_NUM_ENUMS]; +#else + enum debug_struct_file x_debug_struct_ordinary[DINFO_USAGE_NUM_ENUMS]; +#define debug_struct_ordinary global_options.x_debug_struct_ordinary +#endif +#ifdef GENERATOR_FILE +extern enum stack_check_type flag_stack_check; +#else + enum stack_check_type x_flag_stack_check; +#define flag_stack_check global_options.x_flag_stack_check +#endif +#ifdef GENERATOR_FILE +extern int *param_values; +#else + int * x_param_values; +#define param_values global_options.x_param_values +#endif +#ifdef GENERATOR_FILE +extern int flag_complex_method; +#else + int x_flag_complex_method; +#define flag_complex_method global_options.x_flag_complex_method +#endif +#ifdef GENERATOR_FILE +extern int flag_debug_asm; +#else + int x_flag_debug_asm; +#define flag_debug_asm global_options.x_flag_debug_asm +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_rtl_in_asm; +#else + int x_flag_dump_rtl_in_asm; +#define flag_dump_rtl_in_asm global_options.x_flag_dump_rtl_in_asm +#endif +#ifdef GENERATOR_FILE +extern int flag_evaluation_order; +#else + int x_flag_evaluation_order; +#define flag_evaluation_order global_options.x_flag_evaluation_order +#endif +#ifdef GENERATOR_FILE +extern int flag_gen_aux_info; +#else + int x_flag_gen_aux_info; +#define flag_gen_aux_info global_options.x_flag_gen_aux_info +#endif +#ifdef GENERATOR_FILE +extern int flag_generate_lto; +#else + int x_flag_generate_lto; +#define flag_generate_lto global_options.x_flag_generate_lto +#endif +#ifdef GENERATOR_FILE +extern int flag_generate_offload; +#else + int x_flag_generate_offload; +#define flag_generate_offload global_options.x_flag_generate_offload +#endif +#ifdef GENERATOR_FILE +extern int flag_print_asm_name; +#else + int x_flag_print_asm_name; +#define flag_print_asm_name global_options.x_flag_print_asm_name +#endif +#ifdef GENERATOR_FILE +extern int flag_shlib; +#else + int x_flag_shlib; +#define flag_shlib global_options.x_flag_shlib +#endif +#ifdef GENERATOR_FILE +extern int ix86_target_flags_explicit; +#else + int x_ix86_target_flags_explicit; +#define ix86_target_flags_explicit global_options.x_ix86_target_flags_explicit +#endif +#ifdef GENERATOR_FILE +extern int main_input_baselength; +#else + int x_main_input_baselength; +#define main_input_baselength global_options.x_main_input_baselength +#endif +#ifdef GENERATOR_FILE +extern int optimize; +#else + int x_optimize; +#define optimize global_options.x_optimize +#endif +#ifdef GENERATOR_FILE +extern int optimize_debug; +#else + int x_optimize_debug; +#define optimize_debug global_options.x_optimize_debug +#endif +#ifdef GENERATOR_FILE +extern int optimize_fast; +#else + int x_optimize_fast; +#define optimize_fast global_options.x_optimize_fast +#endif +#ifdef GENERATOR_FILE +extern int optimize_size; +#else + int x_optimize_size; +#define optimize_size global_options.x_optimize_size +#endif +#ifdef GENERATOR_FILE +extern int recip_mask_explicit; +#else + int x_recip_mask_explicit; +#define recip_mask_explicit global_options.x_recip_mask_explicit +#endif +#ifdef GENERATOR_FILE +extern int rtl_dump_and_exit; +#else + int x_rtl_dump_and_exit; +#define rtl_dump_and_exit global_options.x_rtl_dump_and_exit +#endif +#ifdef GENERATOR_FILE +extern int target_flags; +#else + int x_target_flags; +#define target_flags global_options.x_target_flags +#endif +#ifdef GENERATOR_FILE +extern unsigned int flag_sanitize; +#else + unsigned int x_flag_sanitize; +#define flag_sanitize global_options.x_flag_sanitize +#endif +#ifdef GENERATOR_FILE +extern unsigned int flag_sanitize_recover; +#else + unsigned int x_flag_sanitize_recover; +#define flag_sanitize_recover global_options.x_flag_sanitize_recover +#endif +#ifdef GENERATOR_FILE +extern unsigned int help_columns; +#else + unsigned int x_help_columns; +#define help_columns global_options.x_help_columns +#endif +#ifdef GENERATOR_FILE +extern unsigned int initial_max_fld_align; +#else + unsigned int x_initial_max_fld_align; +#define initial_max_fld_align global_options.x_initial_max_fld_align +#endif +#ifdef GENERATOR_FILE +extern void *flag_instrument_functions_exclude_files; +#else + void * x_flag_instrument_functions_exclude_files; +#define flag_instrument_functions_exclude_files global_options.x_flag_instrument_functions_exclude_files +#endif +#ifdef GENERATOR_FILE +extern void *flag_instrument_functions_exclude_functions; +#else + void * x_flag_instrument_functions_exclude_functions; +#define flag_instrument_functions_exclude_functions global_options.x_flag_instrument_functions_exclude_functions +#endif +#ifdef GENERATOR_FILE +extern int help_flag; +#else + int x_help_flag; +#define help_flag global_options.x_help_flag +#endif +#ifdef GENERATOR_FILE +extern int no_sysroot_suffix; +#else + int x_no_sysroot_suffix; +#define no_sysroot_suffix global_options.x_no_sysroot_suffix +#endif +#ifdef GENERATOR_FILE +extern int flag_preprocess_only; +#else + int x_flag_preprocess_only; +#define flag_preprocess_only global_options.x_flag_preprocess_only +#endif +#ifdef GENERATOR_FILE +extern int warn_abi; +#else + int x_warn_abi; +#define warn_abi global_options.x_warn_abi +#endif +#ifdef GENERATOR_FILE +extern int warn_abi_tag; +#else + int x_warn_abi_tag; +#define warn_abi_tag global_options.x_warn_abi_tag +#endif +#ifdef GENERATOR_FILE +extern int warn_address; +#else + int x_warn_address; +#define warn_address global_options.x_warn_address +#endif +#ifdef GENERATOR_FILE +extern int warn_aggregate_return; +#else + int x_warn_aggregate_return; +#define warn_aggregate_return global_options.x_warn_aggregate_return +#endif +#ifdef GENERATOR_FILE +extern int warn_aggressive_loop_optimizations; +#else + int x_warn_aggressive_loop_optimizations; +#define warn_aggressive_loop_optimizations global_options.x_warn_aggressive_loop_optimizations +#endif +#ifdef GENERATOR_FILE +extern int warn_aliasing; +#else + int x_warn_aliasing; +#define warn_aliasing global_options.x_warn_aliasing +#endif +#ifdef GENERATOR_FILE +extern int warn_align_commons; +#else + int x_warn_align_commons; +#define warn_align_commons global_options.x_warn_align_commons +#endif +#ifdef GENERATOR_FILE +extern int warn_ampersand; +#else + int x_warn_ampersand; +#define warn_ampersand global_options.x_warn_ampersand +#endif +#ifdef GENERATOR_FILE +extern int warn_array_bounds; +#else + int x_warn_array_bounds; +#define warn_array_bounds global_options.x_warn_array_bounds +#endif +#ifdef GENERATOR_FILE +extern int warn_array_temporaries; +#else + int x_warn_array_temporaries; +#define warn_array_temporaries global_options.x_warn_array_temporaries +#endif +#ifdef GENERATOR_FILE +extern int warn_assign_intercept; +#else + int x_warn_assign_intercept; +#define warn_assign_intercept global_options.x_warn_assign_intercept +#endif +#ifdef GENERATOR_FILE +extern int warn_attributes; +#else + int x_warn_attributes; +#define warn_attributes global_options.x_warn_attributes +#endif +#ifdef GENERATOR_FILE +extern int warn_bad_function_cast; +#else + int x_warn_bad_function_cast; +#define warn_bad_function_cast global_options.x_warn_bad_function_cast +#endif +#ifdef GENERATOR_FILE +extern int warn_bool_compare; +#else + int x_warn_bool_compare; +#define warn_bool_compare global_options.x_warn_bool_compare +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_builtin_macro_redefined; +#else + int x_cpp_warn_builtin_macro_redefined; +#define cpp_warn_builtin_macro_redefined global_options.x_cpp_warn_builtin_macro_redefined +#endif +#ifdef GENERATOR_FILE +extern int warn_cxx_compat; +#else + int x_warn_cxx_compat; +#define warn_cxx_compat global_options.x_warn_cxx_compat +#endif +#ifdef GENERATOR_FILE +extern int warn_cxx0x_compat; +#else + int x_warn_cxx0x_compat; +#define warn_cxx0x_compat global_options.x_warn_cxx0x_compat +#endif +#ifdef GENERATOR_FILE +extern int warn_cxx14_compat; +#else + int x_warn_cxx14_compat; +#define warn_cxx14_compat global_options.x_warn_cxx14_compat +#endif +#ifdef GENERATOR_FILE +extern int warn_c_binding_type; +#else + int x_warn_c_binding_type; +#define warn_c_binding_type global_options.x_warn_c_binding_type +#endif +#ifdef GENERATOR_FILE +extern int warn_c90_c99_compat; +#else + int x_warn_c90_c99_compat; +#define warn_c90_c99_compat global_options.x_warn_c90_c99_compat +#endif +#ifdef GENERATOR_FILE +extern int warn_c99_c11_compat; +#else + int x_warn_c99_c11_compat; +#define warn_c99_c11_compat global_options.x_warn_c99_c11_compat +#endif +#ifdef GENERATOR_FILE +extern int warn_cast_align; +#else + int x_warn_cast_align; +#define warn_cast_align global_options.x_warn_cast_align +#endif +#ifdef GENERATOR_FILE +extern int warn_cast_qual; +#else + int x_warn_cast_qual; +#define warn_cast_qual global_options.x_warn_cast_qual +#endif +#ifdef GENERATOR_FILE +extern int warn_char_subscripts; +#else + int x_warn_char_subscripts; +#define warn_char_subscripts global_options.x_warn_char_subscripts +#endif +#ifdef GENERATOR_FILE +extern int warn_character_truncation; +#else + int x_warn_character_truncation; +#define warn_character_truncation global_options.x_warn_character_truncation +#endif +#ifdef GENERATOR_FILE +extern int warn_chkp; +#else + int x_warn_chkp; +#define warn_chkp global_options.x_warn_chkp +#endif +#ifdef GENERATOR_FILE +extern int warn_clobbered; +#else + int x_warn_clobbered; +#define warn_clobbered global_options.x_warn_clobbered +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_comment; +#else + int x_cpp_warn_comment; +#define cpp_warn_comment global_options.x_cpp_warn_comment +#endif +#ifdef GENERATOR_FILE +extern int warn_compare_reals; +#else + int x_warn_compare_reals; +#define warn_compare_reals global_options.x_warn_compare_reals +#endif +#ifdef GENERATOR_FILE +extern int warn_conditionally_supported; +#else + int x_warn_conditionally_supported; +#define warn_conditionally_supported global_options.x_warn_conditionally_supported +#endif +#ifdef GENERATOR_FILE +extern int warn_conversion; +#else + int x_warn_conversion; +#define warn_conversion global_options.x_warn_conversion +#endif +#ifdef GENERATOR_FILE +extern int warn_conversion_extra; +#else + int x_warn_conversion_extra; +#define warn_conversion_extra global_options.x_warn_conversion_extra +#endif +#ifdef GENERATOR_FILE +extern int warn_conversion_null; +#else + int x_warn_conversion_null; +#define warn_conversion_null global_options.x_warn_conversion_null +#endif +#ifdef GENERATOR_FILE +extern int warn_coverage_mismatch; +#else + int x_warn_coverage_mismatch; +#define warn_coverage_mismatch global_options.x_warn_coverage_mismatch +#endif +#ifdef GENERATOR_FILE +extern int warn_cpp; +#else + int x_warn_cpp; +#define warn_cpp global_options.x_warn_cpp +#endif +#ifdef GENERATOR_FILE +extern int warn_ctor_dtor_privacy; +#else + int x_warn_ctor_dtor_privacy; +#define warn_ctor_dtor_privacy global_options.x_warn_ctor_dtor_privacy +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_date_time; +#else + int x_cpp_warn_date_time; +#define cpp_warn_date_time global_options.x_cpp_warn_date_time +#endif +#ifdef GENERATOR_FILE +extern int warn_declaration_after_statement; +#else + int x_warn_declaration_after_statement; +#define warn_declaration_after_statement global_options.x_warn_declaration_after_statement +#endif +#ifdef GENERATOR_FILE +extern int warn_delete_incomplete; +#else + int x_warn_delete_incomplete; +#define warn_delete_incomplete global_options.x_warn_delete_incomplete +#endif +#ifdef GENERATOR_FILE +extern int warn_delnonvdtor; +#else + int x_warn_delnonvdtor; +#define warn_delnonvdtor global_options.x_warn_delnonvdtor +#endif +#ifdef GENERATOR_FILE +extern int warn_deprecated; +#else + int x_warn_deprecated; +#define warn_deprecated global_options.x_warn_deprecated +#endif +#ifdef GENERATOR_FILE +extern int warn_deprecated_decl; +#else + int x_warn_deprecated_decl; +#define warn_deprecated_decl global_options.x_warn_deprecated_decl +#endif +#ifdef GENERATOR_FILE +extern int warn_designated_init; +#else + int x_warn_designated_init; +#define warn_designated_init global_options.x_warn_designated_init +#endif +#ifdef GENERATOR_FILE +extern int warn_disabled_optimization; +#else + int x_warn_disabled_optimization; +#define warn_disabled_optimization global_options.x_warn_disabled_optimization +#endif +#ifdef GENERATOR_FILE +extern int warn_discarded_array_qualifiers; +#else + int x_warn_discarded_array_qualifiers; +#define warn_discarded_array_qualifiers global_options.x_warn_discarded_array_qualifiers +#endif +#ifdef GENERATOR_FILE +extern int warn_discarded_qualifiers; +#else + int x_warn_discarded_qualifiers; +#define warn_discarded_qualifiers global_options.x_warn_discarded_qualifiers +#endif +#ifdef GENERATOR_FILE +extern int warn_div_by_zero; +#else + int x_warn_div_by_zero; +#define warn_div_by_zero global_options.x_warn_div_by_zero +#endif +#ifdef GENERATOR_FILE +extern int warn_double_promotion; +#else + int x_warn_double_promotion; +#define warn_double_promotion global_options.x_warn_double_promotion +#endif +#ifdef GENERATOR_FILE +extern int warn_ecpp; +#else + int x_warn_ecpp; +#define warn_ecpp global_options.x_warn_ecpp +#endif +#ifdef GENERATOR_FILE +extern int warn_empty_body; +#else + int x_warn_empty_body; +#define warn_empty_body global_options.x_warn_empty_body +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_endif_labels; +#else + int x_cpp_warn_endif_labels; +#define cpp_warn_endif_labels global_options.x_cpp_warn_endif_labels +#endif +#ifdef GENERATOR_FILE +extern int warn_enum_compare; +#else + int x_warn_enum_compare; +#define warn_enum_compare global_options.x_warn_enum_compare +#endif +#ifdef GENERATOR_FILE +extern int warnings_are_errors; +#else + int x_warnings_are_errors; +#define warnings_are_errors global_options.x_warnings_are_errors +#endif +#ifdef GENERATOR_FILE +extern int extra_warnings; +#else + int x_extra_warnings; +#define extra_warnings global_options.x_extra_warnings +#endif +#ifdef GENERATOR_FILE +extern int flag_extraneous_semicolon; +#else + int x_flag_extraneous_semicolon; +#define flag_extraneous_semicolon global_options.x_flag_extraneous_semicolon +#endif +#ifdef GENERATOR_FILE +extern int flag_fatal_errors; +#else + int x_flag_fatal_errors; +#define flag_fatal_errors global_options.x_flag_fatal_errors +#endif +#ifdef GENERATOR_FILE +extern int warn_float_conversion; +#else + int x_warn_float_conversion; +#define warn_float_conversion global_options.x_warn_float_conversion +#endif +#ifdef GENERATOR_FILE +extern int warn_float_equal; +#else + int x_warn_float_equal; +#define warn_float_equal global_options.x_warn_float_equal +#endif +#ifdef GENERATOR_FILE +extern int warn_format_contains_nul; +#else + int x_warn_format_contains_nul; +#define warn_format_contains_nul global_options.x_warn_format_contains_nul +#endif +#ifdef GENERATOR_FILE +extern int warn_format_extra_args; +#else + int x_warn_format_extra_args; +#define warn_format_extra_args global_options.x_warn_format_extra_args +#endif +#ifdef GENERATOR_FILE +extern int warn_format_nonliteral; +#else + int x_warn_format_nonliteral; +#define warn_format_nonliteral global_options.x_warn_format_nonliteral +#endif +#ifdef GENERATOR_FILE +extern int warn_format_security; +#else + int x_warn_format_security; +#define warn_format_security global_options.x_warn_format_security +#endif +#ifdef GENERATOR_FILE +extern int warn_format_signedness; +#else + int x_warn_format_signedness; +#define warn_format_signedness global_options.x_warn_format_signedness +#endif +#ifdef GENERATOR_FILE +extern int warn_format_y2k; +#else + int x_warn_format_y2k; +#define warn_format_y2k global_options.x_warn_format_y2k +#endif +#ifdef GENERATOR_FILE +extern int warn_format_zero_length; +#else + int x_warn_format_zero_length; +#define warn_format_zero_length global_options.x_warn_format_zero_length +#endif +#ifdef GENERATOR_FILE +extern int warn_format; +#else + int x_warn_format; +#define warn_format global_options.x_warn_format +#endif +#ifdef GENERATOR_FILE +extern int warn_free_nonheap_object; +#else + int x_warn_free_nonheap_object; +#define warn_free_nonheap_object global_options.x_warn_free_nonheap_object +#endif +#ifdef GENERATOR_FILE +extern int warn_function_elimination; +#else + int x_warn_function_elimination; +#define warn_function_elimination global_options.x_warn_function_elimination +#endif +#ifdef GENERATOR_FILE +extern int warn_ignored_qualifiers; +#else + int x_warn_ignored_qualifiers; +#define warn_ignored_qualifiers global_options.x_warn_ignored_qualifiers +#endif +#ifdef GENERATOR_FILE +extern int warn_implicit; +#else + int x_warn_implicit; +#define warn_implicit global_options.x_warn_implicit +#endif +#ifdef GENERATOR_FILE +extern int warn_implicit_function_declaration; +#else + int x_warn_implicit_function_declaration; +#define warn_implicit_function_declaration global_options.x_warn_implicit_function_declaration +#endif +#ifdef GENERATOR_FILE +extern int warn_implicit_int; +#else + int x_warn_implicit_int; +#define warn_implicit_int global_options.x_warn_implicit_int +#endif +#ifdef GENERATOR_FILE +extern int warn_implicit_interface; +#else + int x_warn_implicit_interface; +#define warn_implicit_interface global_options.x_warn_implicit_interface +#endif +#ifdef GENERATOR_FILE +extern int warn_implicit_procedure; +#else + int x_warn_implicit_procedure; +#define warn_implicit_procedure global_options.x_warn_implicit_procedure +#endif +#ifdef GENERATOR_FILE +extern int warn_incompatible_pointer_types; +#else + int x_warn_incompatible_pointer_types; +#define warn_incompatible_pointer_types global_options.x_warn_incompatible_pointer_types +#endif +#ifdef GENERATOR_FILE +extern int warn_inh_var_ctor; +#else + int x_warn_inh_var_ctor; +#define warn_inh_var_ctor global_options.x_warn_inh_var_ctor +#endif +#ifdef GENERATOR_FILE +extern int warn_init_self; +#else + int x_warn_init_self; +#define warn_init_self global_options.x_warn_init_self +#endif +#ifdef GENERATOR_FILE +extern int warn_inline; +#else + int x_warn_inline; +#define warn_inline global_options.x_warn_inline +#endif +#ifdef GENERATOR_FILE +extern int warn_int_conversion; +#else + int x_warn_int_conversion; +#define warn_int_conversion global_options.x_warn_int_conversion +#endif +#ifdef GENERATOR_FILE +extern int warn_int_to_pointer_cast; +#else + int x_warn_int_to_pointer_cast; +#define warn_int_to_pointer_cast global_options.x_warn_int_to_pointer_cast +#endif +#ifdef GENERATOR_FILE +extern int warn_intrinsic_shadow; +#else + int x_warn_intrinsic_shadow; +#define warn_intrinsic_shadow global_options.x_warn_intrinsic_shadow +#endif +#ifdef GENERATOR_FILE +extern int warn_intrinsics_std; +#else + int x_warn_intrinsics_std; +#define warn_intrinsics_std global_options.x_warn_intrinsics_std +#endif +#ifdef GENERATOR_FILE +extern int warn_invalid_memory_model; +#else + int x_warn_invalid_memory_model; +#define warn_invalid_memory_model global_options.x_warn_invalid_memory_model +#endif +#ifdef GENERATOR_FILE +extern int warn_invalid_offsetof; +#else + int x_warn_invalid_offsetof; +#define warn_invalid_offsetof global_options.x_warn_invalid_offsetof +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_invalid_pch; +#else + int x_cpp_warn_invalid_pch; +#define cpp_warn_invalid_pch global_options.x_cpp_warn_invalid_pch +#endif +#ifdef GENERATOR_FILE +extern int warn_jump_misses_init; +#else + int x_warn_jump_misses_init; +#define warn_jump_misses_init global_options.x_warn_jump_misses_init +#endif +#ifdef GENERATOR_FILE +extern int warn_line_truncation; +#else + int x_warn_line_truncation; +#define warn_line_truncation global_options.x_warn_line_truncation +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_literal_suffix; +#else + int x_cpp_warn_literal_suffix; +#define cpp_warn_literal_suffix global_options.x_cpp_warn_literal_suffix +#endif +#ifdef GENERATOR_FILE +extern int warn_logical_not_paren; +#else + int x_warn_logical_not_paren; +#define warn_logical_not_paren global_options.x_warn_logical_not_paren +#endif +#ifdef GENERATOR_FILE +extern int warn_logical_op; +#else + int x_warn_logical_op; +#define warn_logical_op global_options.x_warn_logical_op +#endif +#ifdef GENERATOR_FILE +extern int warn_long_long; +#else + int x_warn_long_long; +#define warn_long_long global_options.x_warn_long_long +#endif +#ifdef GENERATOR_FILE +extern int warn_main; +#else + int x_warn_main; +#define warn_main global_options.x_warn_main +#endif +#ifdef GENERATOR_FILE +extern int warn_maybe_uninitialized; +#else + int x_warn_maybe_uninitialized; +#define warn_maybe_uninitialized global_options.x_warn_maybe_uninitialized +#endif +#ifdef GENERATOR_FILE +extern int warn_memset_transposed_args; +#else + int x_warn_memset_transposed_args; +#define warn_memset_transposed_args global_options.x_warn_memset_transposed_args +#endif +#ifdef GENERATOR_FILE +extern int warn_missing_braces; +#else + int x_warn_missing_braces; +#define warn_missing_braces global_options.x_warn_missing_braces +#endif +#ifdef GENERATOR_FILE +extern int warn_missing_declarations; +#else + int x_warn_missing_declarations; +#define warn_missing_declarations global_options.x_warn_missing_declarations +#endif +#ifdef GENERATOR_FILE +extern int warn_missing_field_initializers; +#else + int x_warn_missing_field_initializers; +#define warn_missing_field_initializers global_options.x_warn_missing_field_initializers +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_missing_include_dirs; +#else + int x_cpp_warn_missing_include_dirs; +#define cpp_warn_missing_include_dirs global_options.x_cpp_warn_missing_include_dirs +#endif +#ifdef GENERATOR_FILE +extern int warn_missing_parameter_type; +#else + int x_warn_missing_parameter_type; +#define warn_missing_parameter_type global_options.x_warn_missing_parameter_type +#endif +#ifdef GENERATOR_FILE +extern int warn_missing_prototypes; +#else + int x_warn_missing_prototypes; +#define warn_missing_prototypes global_options.x_warn_missing_prototypes +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_multichar; +#else + int x_cpp_warn_multichar; +#define cpp_warn_multichar global_options.x_cpp_warn_multichar +#endif +#ifdef GENERATOR_FILE +extern int warn_narrowing; +#else + int x_warn_narrowing; +#define warn_narrowing global_options.x_warn_narrowing +#endif +#ifdef GENERATOR_FILE +extern int warn_nested_externs; +#else + int x_warn_nested_externs; +#define warn_nested_externs global_options.x_warn_nested_externs +#endif +#ifdef GENERATOR_FILE +extern int warn_noexcept; +#else + int x_warn_noexcept; +#define warn_noexcept global_options.x_warn_noexcept +#endif +#ifdef GENERATOR_FILE +extern int warn_nontemplate_friend; +#else + int x_warn_nontemplate_friend; +#define warn_nontemplate_friend global_options.x_warn_nontemplate_friend +#endif +#ifdef GENERATOR_FILE +extern int warn_nonvdtor; +#else + int x_warn_nonvdtor; +#define warn_nonvdtor global_options.x_warn_nonvdtor +#endif +#ifdef GENERATOR_FILE +extern int warn_nonnull; +#else + int x_warn_nonnull; +#define warn_nonnull global_options.x_warn_nonnull +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_normalize; +#else + int x_cpp_warn_normalize; +#define cpp_warn_normalize global_options.x_cpp_warn_normalize +#endif +#ifdef GENERATOR_FILE +extern int warn_odr_violations; +#else + int x_warn_odr_violations; +#define warn_odr_violations global_options.x_warn_odr_violations +#endif +#ifdef GENERATOR_FILE +extern int warn_old_style_cast; +#else + int x_warn_old_style_cast; +#define warn_old_style_cast global_options.x_warn_old_style_cast +#endif +#ifdef GENERATOR_FILE +extern int warn_old_style_declaration; +#else + int x_warn_old_style_declaration; +#define warn_old_style_declaration global_options.x_warn_old_style_declaration +#endif +#ifdef GENERATOR_FILE +extern int warn_old_style_definition; +#else + int x_warn_old_style_definition; +#define warn_old_style_definition global_options.x_warn_old_style_definition +#endif +#ifdef GENERATOR_FILE +extern int warn_openmp_simd; +#else + int x_warn_openmp_simd; +#define warn_openmp_simd global_options.x_warn_openmp_simd +#endif +#ifdef GENERATOR_FILE +extern int flag_newer; +#else + int x_flag_newer; +#define flag_newer global_options.x_flag_newer +#endif +#ifdef GENERATOR_FILE +extern int warn_overflow; +#else + int x_warn_overflow; +#define warn_overflow global_options.x_warn_overflow +#endif +#ifdef GENERATOR_FILE +extern int warn_overlength_strings; +#else + int x_warn_overlength_strings; +#define warn_overlength_strings global_options.x_warn_overlength_strings +#endif +#ifdef GENERATOR_FILE +extern int warn_overloaded_virtual; +#else + int x_warn_overloaded_virtual; +#define warn_overloaded_virtual global_options.x_warn_overloaded_virtual +#endif +#ifdef GENERATOR_FILE +extern int warn_override_init; +#else + int x_warn_override_init; +#define warn_override_init global_options.x_warn_override_init +#endif +#ifdef GENERATOR_FILE +extern int warn_packed; +#else + int x_warn_packed; +#define warn_packed global_options.x_warn_packed +#endif +#ifdef GENERATOR_FILE +extern int warn_packed_bitfield_compat; +#else + int x_warn_packed_bitfield_compat; +#define warn_packed_bitfield_compat global_options.x_warn_packed_bitfield_compat +#endif +#ifdef GENERATOR_FILE +extern int warn_padded; +#else + int x_warn_padded; +#define warn_padded global_options.x_warn_padded +#endif +#ifdef GENERATOR_FILE +extern int warn_parentheses; +#else + int x_warn_parentheses; +#define warn_parentheses global_options.x_warn_parentheses +#endif +#ifdef GENERATOR_FILE +extern int pedantic; +#else + int x_pedantic; +#define pedantic global_options.x_pedantic +#endif +#ifdef GENERATOR_FILE +extern int warn_pedantic_ms_format; +#else + int x_warn_pedantic_ms_format; +#define warn_pedantic_ms_format global_options.x_warn_pedantic_ms_format +#endif +#ifdef GENERATOR_FILE +extern int warn_pmf2ptr; +#else + int x_warn_pmf2ptr; +#define warn_pmf2ptr global_options.x_warn_pmf2ptr +#endif +#ifdef GENERATOR_FILE +extern int warn_pointer_arith; +#else + int x_warn_pointer_arith; +#define warn_pointer_arith global_options.x_warn_pointer_arith +#endif +#ifdef GENERATOR_FILE +extern int warn_pointer_sign; +#else + int x_warn_pointer_sign; +#define warn_pointer_sign global_options.x_warn_pointer_sign +#endif +#ifdef GENERATOR_FILE +extern int warn_pointer_to_int_cast; +#else + int x_warn_pointer_to_int_cast; +#define warn_pointer_to_int_cast global_options.x_warn_pointer_to_int_cast +#endif +#ifdef GENERATOR_FILE +extern int warn_pragmas; +#else + int x_warn_pragmas; +#define warn_pragmas global_options.x_warn_pragmas +#endif +#ifdef GENERATOR_FILE +extern int warn_property_assign_default; +#else + int x_warn_property_assign_default; +#define warn_property_assign_default global_options.x_warn_property_assign_default +#endif +#ifdef GENERATOR_FILE +extern int warn_protocol; +#else + int x_warn_protocol; +#define warn_protocol global_options.x_warn_protocol +#endif +#ifdef GENERATOR_FILE +extern int warn_psabi; +#else + int x_warn_psabi; +#define warn_psabi global_options.x_warn_psabi +#endif +#ifdef GENERATOR_FILE +extern int warn_real_q_constant; +#else + int x_warn_real_q_constant; +#define warn_real_q_constant global_options.x_warn_real_q_constant +#endif +#ifdef GENERATOR_FILE +extern int warn_realloc_lhs; +#else + int x_warn_realloc_lhs; +#define warn_realloc_lhs global_options.x_warn_realloc_lhs +#endif +#ifdef GENERATOR_FILE +extern int warn_realloc_lhs_all; +#else + int x_warn_realloc_lhs_all; +#define warn_realloc_lhs_all global_options.x_warn_realloc_lhs_all +#endif +#ifdef GENERATOR_FILE +extern int warn_redundant_decls; +#else + int x_warn_redundant_decls; +#define warn_redundant_decls global_options.x_warn_redundant_decls +#endif +#ifdef GENERATOR_FILE +extern int flag_redundant; +#else + int x_flag_redundant; +#define flag_redundant global_options.x_flag_redundant +#endif +#ifdef GENERATOR_FILE +extern int warn_reorder; +#else + int x_warn_reorder; +#define warn_reorder global_options.x_warn_reorder +#endif +#ifdef GENERATOR_FILE +extern int warn_return_local_addr; +#else + int x_warn_return_local_addr; +#define warn_return_local_addr global_options.x_warn_return_local_addr +#endif +#ifdef GENERATOR_FILE +extern int warn_return_type; +#else + int x_warn_return_type; +#define warn_return_type global_options.x_warn_return_type +#endif +#ifdef GENERATOR_FILE +extern int warn_selector; +#else + int x_warn_selector; +#define warn_selector global_options.x_warn_selector +#endif +#ifdef GENERATOR_FILE +extern int warn_sequence_point; +#else + int x_warn_sequence_point; +#define warn_sequence_point global_options.x_warn_sequence_point +#endif +#ifdef GENERATOR_FILE +extern int warn_shadow; +#else + int x_warn_shadow; +#define warn_shadow global_options.x_warn_shadow +#endif +#ifdef GENERATOR_FILE +extern int warn_shadow_ivar; +#else + int x_warn_shadow_ivar; +#define warn_shadow_ivar global_options.x_warn_shadow_ivar +#endif +#ifdef GENERATOR_FILE +extern int warn_shift_count_negative; +#else + int x_warn_shift_count_negative; +#define warn_shift_count_negative global_options.x_warn_shift_count_negative +#endif +#ifdef GENERATOR_FILE +extern int warn_shift_count_overflow; +#else + int x_warn_shift_count_overflow; +#define warn_shift_count_overflow global_options.x_warn_shift_count_overflow +#endif +#ifdef GENERATOR_FILE +extern int warn_sign_compare; +#else + int x_warn_sign_compare; +#define warn_sign_compare global_options.x_warn_sign_compare +#endif +#ifdef GENERATOR_FILE +extern int warn_sign_conversion; +#else + int x_warn_sign_conversion; +#define warn_sign_conversion global_options.x_warn_sign_conversion +#endif +#ifdef GENERATOR_FILE +extern int warn_sign_promo; +#else + int x_warn_sign_promo; +#define warn_sign_promo global_options.x_warn_sign_promo +#endif +#ifdef GENERATOR_FILE +extern int warn_sized_deallocation; +#else + int x_warn_sized_deallocation; +#define warn_sized_deallocation global_options.x_warn_sized_deallocation +#endif +#ifdef GENERATOR_FILE +extern int warn_sizeof_array_argument; +#else + int x_warn_sizeof_array_argument; +#define warn_sizeof_array_argument global_options.x_warn_sizeof_array_argument +#endif +#ifdef GENERATOR_FILE +extern int warn_sizeof_pointer_memaccess; +#else + int x_warn_sizeof_pointer_memaccess; +#define warn_sizeof_pointer_memaccess global_options.x_warn_sizeof_pointer_memaccess +#endif +#ifdef GENERATOR_FILE +extern int warn_stack_protect; +#else + int x_warn_stack_protect; +#define warn_stack_protect global_options.x_warn_stack_protect +#endif +#ifdef GENERATOR_FILE +extern int warn_stack_usage; +#else + int x_warn_stack_usage; +#define warn_stack_usage global_options.x_warn_stack_usage +#endif +#ifdef GENERATOR_FILE +extern int warn_strict_aliasing; +#else + int x_warn_strict_aliasing; +#define warn_strict_aliasing global_options.x_warn_strict_aliasing +#endif +#ifdef GENERATOR_FILE +extern int warn_strict_null_sentinel; +#else + int x_warn_strict_null_sentinel; +#define warn_strict_null_sentinel global_options.x_warn_strict_null_sentinel +#endif +#ifdef GENERATOR_FILE +extern int warn_strict_overflow; +#else + int x_warn_strict_overflow; +#define warn_strict_overflow global_options.x_warn_strict_overflow +#endif +#ifdef GENERATOR_FILE +extern int warn_strict_prototypes; +#else + int x_warn_strict_prototypes; +#define warn_strict_prototypes global_options.x_warn_strict_prototypes +#endif +#ifdef GENERATOR_FILE +extern int warn_strict_selector_match; +#else + int x_warn_strict_selector_match; +#define warn_strict_selector_match global_options.x_warn_strict_selector_match +#endif +#ifdef GENERATOR_FILE +extern int warn_suggest_attribute_const; +#else + int x_warn_suggest_attribute_const; +#define warn_suggest_attribute_const global_options.x_warn_suggest_attribute_const +#endif +#ifdef GENERATOR_FILE +extern int warn_suggest_attribute_format; +#else + int x_warn_suggest_attribute_format; +#define warn_suggest_attribute_format global_options.x_warn_suggest_attribute_format +#endif +#ifdef GENERATOR_FILE +extern int warn_suggest_attribute_noreturn; +#else + int x_warn_suggest_attribute_noreturn; +#define warn_suggest_attribute_noreturn global_options.x_warn_suggest_attribute_noreturn +#endif +#ifdef GENERATOR_FILE +extern int warn_suggest_attribute_pure; +#else + int x_warn_suggest_attribute_pure; +#define warn_suggest_attribute_pure global_options.x_warn_suggest_attribute_pure +#endif +#ifdef GENERATOR_FILE +extern int warn_suggest_final_methods; +#else + int x_warn_suggest_final_methods; +#define warn_suggest_final_methods global_options.x_warn_suggest_final_methods +#endif +#ifdef GENERATOR_FILE +extern int warn_suggest_final_types; +#else + int x_warn_suggest_final_types; +#define warn_suggest_final_types global_options.x_warn_suggest_final_types +#endif +#ifdef GENERATOR_FILE +extern int warn_override; +#else + int x_warn_override; +#define warn_override global_options.x_warn_override +#endif +#ifdef GENERATOR_FILE +extern int warn_surprising; +#else + int x_warn_surprising; +#define warn_surprising global_options.x_warn_surprising +#endif +#ifdef GENERATOR_FILE +extern int warn_switch; +#else + int x_warn_switch; +#define warn_switch global_options.x_warn_switch +#endif +#ifdef GENERATOR_FILE +extern int warn_switch_bool; +#else + int x_warn_switch_bool; +#define warn_switch_bool global_options.x_warn_switch_bool +#endif +#ifdef GENERATOR_FILE +extern int warn_switch_default; +#else + int x_warn_switch_default; +#define warn_switch_default global_options.x_warn_switch_default +#endif +#ifdef GENERATOR_FILE +extern int warn_switch_enum; +#else + int x_warn_switch_enum; +#define warn_switch_enum global_options.x_warn_switch_enum +#endif +#ifdef GENERATOR_FILE +extern int warn_sync_nand; +#else + int x_warn_sync_nand; +#define warn_sync_nand global_options.x_warn_sync_nand +#endif +#ifdef GENERATOR_FILE +extern int warn_synth; +#else + int x_warn_synth; +#define warn_synth global_options.x_warn_synth +#endif +#ifdef GENERATOR_FILE +extern int warn_system_headers; +#else + int x_warn_system_headers; +#define warn_system_headers global_options.x_warn_system_headers +#endif +#ifdef GENERATOR_FILE +extern int warn_tabs; +#else + int x_warn_tabs; +#define warn_tabs global_options.x_warn_tabs +#endif +#ifdef GENERATOR_FILE +extern int warn_target_lifetime; +#else + int x_warn_target_lifetime; +#define warn_target_lifetime global_options.x_warn_target_lifetime +#endif +#ifdef GENERATOR_FILE +extern int warn_traditional; +#else + int x_warn_traditional; +#define warn_traditional global_options.x_warn_traditional +#endif +#ifdef GENERATOR_FILE +extern int warn_traditional_conversion; +#else + int x_warn_traditional_conversion; +#define warn_traditional_conversion global_options.x_warn_traditional_conversion +#endif +#ifdef GENERATOR_FILE +extern int warn_trampolines; +#else + int x_warn_trampolines; +#define warn_trampolines global_options.x_warn_trampolines +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_trigraphs; +#else + int x_cpp_warn_trigraphs; +#define cpp_warn_trigraphs global_options.x_cpp_warn_trigraphs +#endif +#ifdef GENERATOR_FILE +extern int warn_type_limits; +#else + int x_warn_type_limits; +#define warn_type_limits global_options.x_warn_type_limits +#endif +#ifdef GENERATOR_FILE +extern int warn_undeclared_selector; +#else + int x_warn_undeclared_selector; +#define warn_undeclared_selector global_options.x_warn_undeclared_selector +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_undef; +#else + int x_cpp_warn_undef; +#define cpp_warn_undef global_options.x_cpp_warn_undef +#endif +#ifdef GENERATOR_FILE +extern int warn_underflow; +#else + int x_warn_underflow; +#define warn_underflow global_options.x_warn_underflow +#endif +#ifdef GENERATOR_FILE +extern int warn_uninitialized; +#else + int x_warn_uninitialized; +#define warn_uninitialized global_options.x_warn_uninitialized +#endif +#ifdef GENERATOR_FILE +extern int warn_unknown_pragmas; +#else + int x_warn_unknown_pragmas; +#define warn_unknown_pragmas global_options.x_warn_unknown_pragmas +#endif +#ifdef GENERATOR_FILE +extern int warn_unsafe_loop_optimizations; +#else + int x_warn_unsafe_loop_optimizations; +#define warn_unsafe_loop_optimizations global_options.x_warn_unsafe_loop_optimizations +#endif +#ifdef GENERATOR_FILE +extern int warn_unsuffixed_float_constants; +#else + int x_warn_unsuffixed_float_constants; +#define warn_unsuffixed_float_constants global_options.x_warn_unsuffixed_float_constants +#endif +#ifdef GENERATOR_FILE +extern int warn_unused; +#else + int x_warn_unused; +#define warn_unused global_options.x_warn_unused +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_but_set_parameter; +#else + int x_warn_unused_but_set_parameter; +#define warn_unused_but_set_parameter global_options.x_warn_unused_but_set_parameter +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_but_set_variable; +#else + int x_warn_unused_but_set_variable; +#define warn_unused_but_set_variable global_options.x_warn_unused_but_set_variable +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_dummy_argument; +#else + int x_warn_unused_dummy_argument; +#define warn_unused_dummy_argument global_options.x_warn_unused_dummy_argument +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_function; +#else + int x_warn_unused_function; +#define warn_unused_function global_options.x_warn_unused_function +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_label; +#else + int x_warn_unused_label; +#define warn_unused_label global_options.x_warn_unused_label +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_local_typedefs; +#else + int x_warn_unused_local_typedefs; +#define warn_unused_local_typedefs global_options.x_warn_unused_local_typedefs +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_unused_macros; +#else + int x_cpp_warn_unused_macros; +#define cpp_warn_unused_macros global_options.x_cpp_warn_unused_macros +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_parameter; +#else + int x_warn_unused_parameter; +#define warn_unused_parameter global_options.x_warn_unused_parameter +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_result; +#else + int x_warn_unused_result; +#define warn_unused_result global_options.x_warn_unused_result +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_value; +#else + int x_warn_unused_value; +#define warn_unused_value global_options.x_warn_unused_value +#endif +#ifdef GENERATOR_FILE +extern int warn_unused_variable; +#else + int x_warn_unused_variable; +#define warn_unused_variable global_options.x_warn_unused_variable +#endif +#ifdef GENERATOR_FILE +extern int warn_use_without_only; +#else + int x_warn_use_without_only; +#define warn_use_without_only global_options.x_warn_use_without_only +#endif +#ifdef GENERATOR_FILE +extern int warn_useless_cast; +#else + int x_warn_useless_cast; +#define warn_useless_cast global_options.x_warn_useless_cast +#endif +#ifdef GENERATOR_FILE +extern int warn_varargs; +#else + int x_warn_varargs; +#define warn_varargs global_options.x_warn_varargs +#endif +#ifdef GENERATOR_FILE +extern int cpp_warn_variadic_macros; +#else + int x_cpp_warn_variadic_macros; +#define cpp_warn_variadic_macros global_options.x_cpp_warn_variadic_macros +#endif +#ifdef GENERATOR_FILE +extern int warn_vector_operation_performance; +#else + int x_warn_vector_operation_performance; +#define warn_vector_operation_performance global_options.x_warn_vector_operation_performance +#endif +#ifdef GENERATOR_FILE +extern int warn_virtual_move_assign; +#else + int x_warn_virtual_move_assign; +#define warn_virtual_move_assign global_options.x_warn_virtual_move_assign +#endif +#ifdef GENERATOR_FILE +extern int warn_vla; +#else + int x_warn_vla; +#define warn_vla global_options.x_warn_vla +#endif +#ifdef GENERATOR_FILE +extern int warn_volatile_register_var; +#else + int x_warn_volatile_register_var; +#define warn_volatile_register_var global_options.x_warn_volatile_register_var +#endif +#ifdef GENERATOR_FILE +extern int warn_write_strings; +#else + int x_warn_write_strings; +#define warn_write_strings global_options.x_warn_write_strings +#endif +#ifdef GENERATOR_FILE +extern int warn_zero_as_null_pointer_constant; +#else + int x_warn_zero_as_null_pointer_constant; +#define warn_zero_as_null_pointer_constant global_options.x_warn_zero_as_null_pointer_constant +#endif +#ifdef GENERATOR_FILE +extern int warn_zerotrip; +#else + int x_warn_zerotrip; +#define warn_zerotrip global_options.x_warn_zerotrip +#endif +#ifdef GENERATOR_FILE +extern const char *aux_info_file_name; +#else + const char *x_aux_info_file_name; +#define aux_info_file_name global_options.x_aux_info_file_name +#endif +#ifdef GENERATOR_FILE +extern const char *aux_base_name; +#else + const char *x_aux_base_name; +#define aux_base_name global_options.x_aux_base_name +#endif +#ifdef GENERATOR_FILE +extern const char *dump_base_name; +#else + const char *x_dump_base_name; +#define dump_base_name global_options.x_dump_base_name +#endif +#ifdef GENERATOR_FILE +extern const char *dump_dir_name; +#else + const char *x_dump_dir_name; +#define dump_dir_name global_options.x_dump_dir_name +#endif +#ifdef GENERATOR_FILE +extern int flag_pic; +#else + int x_flag_pic; +#define flag_pic global_options.x_flag_pic +#endif +#ifdef GENERATOR_FILE +extern int flag_pie; +#else + int x_flag_pie; +#define flag_pie global_options.x_flag_pie +#endif +#ifdef GENERATOR_FILE +extern int flag_abi_compat_version; +#else + int x_flag_abi_compat_version; +#define flag_abi_compat_version global_options.x_flag_abi_compat_version +#endif +#ifdef GENERATOR_FILE +extern int flag_abi_version; +#else + int x_flag_abi_version; +#define flag_abi_version global_options.x_flag_abi_version +#endif +#ifdef GENERATOR_FILE +extern int flag_access_control; +#else + int x_flag_access_control; +#define flag_access_control global_options.x_flag_access_control +#endif +#ifdef GENERATOR_FILE +extern const char *ada_specs_parent; +#else + const char *x_ada_specs_parent; +#define ada_specs_parent global_options.x_ada_specs_parent +#endif +#ifdef GENERATOR_FILE +extern int flag_aggressive_function_elimination; +#else + int x_flag_aggressive_function_elimination; +#define flag_aggressive_function_elimination global_options.x_flag_aggressive_function_elimination +#endif +#ifdef GENERATOR_FILE +extern int flag_aggressive_loop_optimizations; +#else + int x_flag_aggressive_loop_optimizations; +#define flag_aggressive_loop_optimizations global_options.x_flag_aggressive_loop_optimizations +#endif +#ifdef GENERATOR_FILE +extern int flag_align_commons; +#else + int x_flag_align_commons; +#define flag_align_commons global_options.x_flag_align_commons +#endif +#ifdef GENERATOR_FILE +extern int align_functions; +#else + int x_align_functions; +#define align_functions global_options.x_align_functions +#endif +#ifdef GENERATOR_FILE +extern int align_jumps; +#else + int x_align_jumps; +#define align_jumps global_options.x_align_jumps +#endif +#ifdef GENERATOR_FILE +extern int align_labels; +#else + int x_align_labels; +#define align_labels global_options.x_align_labels +#endif +#ifdef GENERATOR_FILE +extern int align_loops; +#else + int x_align_loops; +#define align_loops global_options.x_align_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_all_intrinsics; +#else + int x_flag_all_intrinsics; +#define flag_all_intrinsics global_options.x_flag_all_intrinsics +#endif +#ifdef GENERATOR_FILE +extern int flag_allow_leading_underscore; +#else + int x_flag_allow_leading_underscore; +#define flag_allow_leading_underscore global_options.x_flag_allow_leading_underscore +#endif +#ifdef GENERATOR_FILE +extern int flag_allow_parameterless_variadic_functions; +#else + int x_flag_allow_parameterless_variadic_functions; +#define flag_allow_parameterless_variadic_functions global_options.x_flag_allow_parameterless_variadic_functions +#endif +#ifdef GENERATOR_FILE +extern void *common_deferred_options; +#else + void *x_common_deferred_options; +#define common_deferred_options global_options.x_common_deferred_options +#endif +#ifdef GENERATOR_FILE +extern int flag_no_asm; +#else + int x_flag_no_asm; +#define flag_no_asm global_options.x_flag_no_asm +#endif +#ifdef GENERATOR_FILE +extern int flag_assert; +#else + int x_flag_assert; +#define flag_assert global_options.x_flag_assert +#endif +#ifdef GENERATOR_FILE +extern int flag_associative_math; +#else + int x_flag_associative_math; +#define flag_associative_math global_options.x_flag_associative_math +#endif +#ifdef GENERATOR_FILE +extern int flag_asynchronous_unwind_tables; +#else + int x_flag_asynchronous_unwind_tables; +#define flag_asynchronous_unwind_tables global_options.x_flag_asynchronous_unwind_tables +#endif +#ifdef GENERATOR_FILE +extern int flag_auto_inc_dec; +#else + int x_flag_auto_inc_dec; +#define flag_auto_inc_dec global_options.x_flag_auto_inc_dec +#endif +#ifdef GENERATOR_FILE +extern int flag_auto_profile; +#else + int x_flag_auto_profile; +#define flag_auto_profile global_options.x_flag_auto_profile +#endif +#ifdef GENERATOR_FILE +extern const char *auto_profile_file; +#else + const char *x_auto_profile_file; +#define auto_profile_file global_options.x_auto_profile_file +#endif +#ifdef GENERATOR_FILE +extern int flag_automatic; +#else + int x_flag_automatic; +#define flag_automatic global_options.x_flag_automatic +#endif +#ifdef GENERATOR_FILE +extern int flag_backslash; +#else + int x_flag_backslash; +#define flag_backslash global_options.x_flag_backslash +#endif +#ifdef GENERATOR_FILE +extern int flag_backtrace; +#else + int x_flag_backtrace; +#define flag_backtrace global_options.x_flag_backtrace +#endif +#ifdef GENERATOR_FILE +extern int flag_blas_matmul_limit; +#else + int x_flag_blas_matmul_limit; +#define flag_blas_matmul_limit global_options.x_flag_blas_matmul_limit +#endif +#ifdef GENERATOR_FILE +extern int flag_bootstrap_classes; +#else + int x_flag_bootstrap_classes; +#define flag_bootstrap_classes global_options.x_flag_bootstrap_classes +#endif +#ifdef GENERATOR_FILE +extern int flag_bounds_check; +#else + int x_flag_bounds_check; +#define flag_bounds_check global_options.x_flag_bounds_check +#endif +#ifdef GENERATOR_FILE +extern int flag_branch_on_count_reg; +#else + int x_flag_branch_on_count_reg; +#define flag_branch_on_count_reg global_options.x_flag_branch_on_count_reg +#endif +#ifdef GENERATOR_FILE +extern int flag_branch_probabilities; +#else + int x_flag_branch_probabilities; +#define flag_branch_probabilities global_options.x_flag_branch_probabilities +#endif +#ifdef GENERATOR_FILE +extern int flag_branch_target_load_optimize; +#else + int x_flag_branch_target_load_optimize; +#define flag_branch_target_load_optimize global_options.x_flag_branch_target_load_optimize +#endif +#ifdef GENERATOR_FILE +extern int flag_branch_target_load_optimize2; +#else + int x_flag_branch_target_load_optimize2; +#define flag_branch_target_load_optimize2 global_options.x_flag_branch_target_load_optimize2 +#endif +#ifdef GENERATOR_FILE +extern int flag_btr_bb_exclusive; +#else + int x_flag_btr_bb_exclusive; +#define flag_btr_bb_exclusive global_options.x_flag_btr_bb_exclusive +#endif +#ifdef GENERATOR_FILE +extern int flag_building_libgcc; +#else + int x_flag_building_libgcc; +#define flag_building_libgcc global_options.x_flag_building_libgcc +#endif +#ifdef GENERATOR_FILE +extern int flag_no_builtin; +#else + int x_flag_no_builtin; +#define flag_no_builtin global_options.x_flag_no_builtin +#endif +#ifdef GENERATOR_FILE +extern int flag_caller_saves; +#else + int x_flag_caller_saves; +#define flag_caller_saves global_options.x_flag_caller_saves +#endif +#ifdef GENERATOR_FILE +extern int flag_check_data_deps; +#else + int x_flag_check_data_deps; +#define flag_check_data_deps global_options.x_flag_check_data_deps +#endif +#ifdef GENERATOR_FILE +extern int flag_check_new; +#else + int x_flag_check_new; +#define flag_check_new global_options.x_flag_check_new +#endif +#ifdef GENERATOR_FILE +extern int flag_check_pointer_bounds; +#else + int x_flag_check_pointer_bounds; +#define flag_check_pointer_bounds global_options.x_flag_check_pointer_bounds +#endif +#ifdef GENERATOR_FILE +extern int flag_check_references; +#else + int x_flag_check_references; +#define flag_check_references global_options.x_flag_check_references +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_incomplete_type; +#else + int x_flag_chkp_incomplete_type; +#define flag_chkp_incomplete_type global_options.x_flag_chkp_incomplete_type +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_check_read; +#else + int x_flag_chkp_check_read; +#define flag_chkp_check_read global_options.x_flag_chkp_check_read +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_check_write; +#else + int x_flag_chkp_check_write; +#define flag_chkp_check_write global_options.x_flag_chkp_check_write +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_first_field_has_own_bounds; +#else + int x_flag_chkp_first_field_has_own_bounds; +#define flag_chkp_first_field_has_own_bounds global_options.x_flag_chkp_first_field_has_own_bounds +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_instrument_calls; +#else + int x_flag_chkp_instrument_calls; +#define flag_chkp_instrument_calls global_options.x_flag_chkp_instrument_calls +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_instrument_marked_only; +#else + int x_flag_chkp_instrument_marked_only; +#define flag_chkp_instrument_marked_only global_options.x_flag_chkp_instrument_marked_only +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_narrow_bounds; +#else + int x_flag_chkp_narrow_bounds; +#define flag_chkp_narrow_bounds global_options.x_flag_chkp_narrow_bounds +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_narrow_to_innermost_arrray; +#else + int x_flag_chkp_narrow_to_innermost_arrray; +#define flag_chkp_narrow_to_innermost_arrray global_options.x_flag_chkp_narrow_to_innermost_arrray +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_optimize; +#else + int x_flag_chkp_optimize; +#define flag_chkp_optimize global_options.x_flag_chkp_optimize +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_store_bounds; +#else + int x_flag_chkp_store_bounds; +#define flag_chkp_store_bounds global_options.x_flag_chkp_store_bounds +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_zero_dynamic_size_as_infinite; +#else + int x_flag_chkp_zero_dynamic_size_as_infinite; +#define flag_chkp_zero_dynamic_size_as_infinite global_options.x_flag_chkp_zero_dynamic_size_as_infinite +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_use_fast_string_functions; +#else + int x_flag_chkp_use_fast_string_functions; +#define flag_chkp_use_fast_string_functions global_options.x_flag_chkp_use_fast_string_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_use_nochk_string_functions; +#else + int x_flag_chkp_use_nochk_string_functions; +#define flag_chkp_use_nochk_string_functions global_options.x_flag_chkp_use_nochk_string_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_use_static_bounds; +#else + int x_flag_chkp_use_static_bounds; +#define flag_chkp_use_static_bounds global_options.x_flag_chkp_use_static_bounds +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_use_static_const_bounds; +#else + int x_flag_chkp_use_static_const_bounds; +#define flag_chkp_use_static_const_bounds global_options.x_flag_chkp_use_static_const_bounds +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_use_wrappers; +#else + int x_flag_chkp_use_wrappers; +#define flag_chkp_use_wrappers global_options.x_flag_chkp_use_wrappers +#endif +#ifdef GENERATOR_FILE +extern int flag_chkp_zero_input_bounds_for_main; +#else + int x_flag_chkp_zero_input_bounds_for_main; +#define flag_chkp_zero_input_bounds_for_main global_options.x_flag_chkp_zero_input_bounds_for_main +#endif +#ifdef GENERATOR_FILE +extern int flag_cilkplus; +#else + int x_flag_cilkplus; +#define flag_cilkplus global_options.x_flag_cilkplus +#endif +#ifdef GENERATOR_FILE +extern enum gfc_fcoarray flag_coarray; +#else + enum gfc_fcoarray x_flag_coarray; +#define flag_coarray global_options.x_flag_coarray +#endif +#ifdef GENERATOR_FILE +extern int flag_combine_stack_adjustments; +#else + int x_flag_combine_stack_adjustments; +#define flag_combine_stack_adjustments global_options.x_flag_combine_stack_adjustments +#endif +#ifdef GENERATOR_FILE +extern int flag_no_common; +#else + int x_flag_no_common; +#define flag_no_common global_options.x_flag_no_common +#endif +#ifdef GENERATOR_FILE +extern int flag_compare_debug; +#else + int x_flag_compare_debug; +#define flag_compare_debug global_options.x_flag_compare_debug +#endif +#ifdef GENERATOR_FILE +extern const char *flag_compare_debug_opt; +#else + const char *x_flag_compare_debug_opt; +#define flag_compare_debug_opt global_options.x_flag_compare_debug_opt +#endif +#ifdef GENERATOR_FILE +extern int flag_compare_elim_after_reload; +#else + int x_flag_compare_elim_after_reload; +#define flag_compare_elim_after_reload global_options.x_flag_compare_elim_after_reload +#endif +#ifdef GENERATOR_FILE +extern int flag_conserve_space; +#else + int x_flag_conserve_space; +#define flag_conserve_space global_options.x_flag_conserve_space +#endif +#ifdef GENERATOR_FILE +extern int flag_conserve_stack; +#else + int x_flag_conserve_stack; +#define flag_conserve_stack global_options.x_flag_conserve_stack +#endif +#ifdef GENERATOR_FILE +extern int max_constexpr_depth; +#else + int x_max_constexpr_depth; +#define max_constexpr_depth global_options.x_max_constexpr_depth +#endif +#ifdef GENERATOR_FILE +extern enum gfc_convert flag_convert; +#else + enum gfc_convert x_flag_convert; +#define flag_convert global_options.x_flag_convert +#endif +#ifdef GENERATOR_FILE +extern int flag_cprop_registers; +#else + int x_flag_cprop_registers; +#define flag_cprop_registers global_options.x_flag_cprop_registers +#endif +#ifdef GENERATOR_FILE +extern int flag_cray_pointer; +#else + int x_flag_cray_pointer; +#define flag_cray_pointer global_options.x_flag_cray_pointer +#endif +#ifdef GENERATOR_FILE +extern int flag_crossjumping; +#else + int x_flag_crossjumping; +#define flag_crossjumping global_options.x_flag_crossjumping +#endif +#ifdef GENERATOR_FILE +extern int flag_cse_follow_jumps; +#else + int x_flag_cse_follow_jumps; +#define flag_cse_follow_jumps global_options.x_flag_cse_follow_jumps +#endif +#ifdef GENERATOR_FILE +extern int flag_cx_fortran_rules; +#else + int x_flag_cx_fortran_rules; +#define flag_cx_fortran_rules global_options.x_flag_cx_fortran_rules +#endif +#ifdef GENERATOR_FILE +extern int flag_cx_limited_range; +#else + int x_flag_cx_limited_range; +#define flag_cx_limited_range global_options.x_flag_cx_limited_range +#endif +#ifdef GENERATOR_FILE +extern int flag_data_sections; +#else + int x_flag_data_sections; +#define flag_data_sections global_options.x_flag_data_sections +#endif +#ifdef GENERATOR_FILE +extern int flag_dce; +#else + int x_flag_dce; +#define flag_dce global_options.x_flag_dce +#endif +#ifdef GENERATOR_FILE +extern int flag_debug_types_section; +#else + int x_flag_debug_types_section; +#define flag_debug_types_section global_options.x_flag_debug_types_section +#endif +#ifdef GENERATOR_FILE +extern int flag_declone_ctor_dtor; +#else + int x_flag_declone_ctor_dtor; +#define flag_declone_ctor_dtor global_options.x_flag_declone_ctor_dtor +#endif +#ifdef GENERATOR_FILE +extern int flag_deduce_init_list; +#else + int x_flag_deduce_init_list; +#define flag_deduce_init_list global_options.x_flag_deduce_init_list +#endif +#ifdef GENERATOR_FILE +extern int flag_default_double; +#else + int x_flag_default_double; +#define flag_default_double global_options.x_flag_default_double +#endif +#ifdef GENERATOR_FILE +extern int flag_default_integer; +#else + int x_flag_default_integer; +#define flag_default_integer global_options.x_flag_default_integer +#endif +#ifdef GENERATOR_FILE +extern int flag_default_real; +#else + int x_flag_default_real; +#define flag_default_real global_options.x_flag_default_real +#endif +#ifdef GENERATOR_FILE +extern int flag_defer_pop; +#else + int x_flag_defer_pop; +#define flag_defer_pop global_options.x_flag_defer_pop +#endif +#ifdef GENERATOR_FILE +extern int flag_delayed_branch; +#else + int x_flag_delayed_branch; +#define flag_delayed_branch global_options.x_flag_delayed_branch +#endif +#ifdef GENERATOR_FILE +extern int flag_delete_dead_exceptions; +#else + int x_flag_delete_dead_exceptions; +#define flag_delete_dead_exceptions global_options.x_flag_delete_dead_exceptions +#endif +#ifdef GENERATOR_FILE +extern int flag_delete_null_pointer_checks; +#else + int x_flag_delete_null_pointer_checks; +#define flag_delete_null_pointer_checks global_options.x_flag_delete_null_pointer_checks +#endif +#ifdef GENERATOR_FILE +extern int flag_devirtualize; +#else + int x_flag_devirtualize; +#define flag_devirtualize global_options.x_flag_devirtualize +#endif +#ifdef GENERATOR_FILE +extern int flag_ltrans_devirtualize; +#else + int x_flag_ltrans_devirtualize; +#define flag_ltrans_devirtualize global_options.x_flag_ltrans_devirtualize +#endif +#ifdef GENERATOR_FILE +extern int flag_devirtualize_speculatively; +#else + int x_flag_devirtualize_speculatively; +#define flag_devirtualize_speculatively global_options.x_flag_devirtualize_speculatively +#endif +#ifdef GENERATOR_FILE +extern int flag_diagnostics_show_color; +#else + int x_flag_diagnostics_show_color; +#define flag_diagnostics_show_color global_options.x_flag_diagnostics_show_color +#endif +#ifdef GENERATOR_FILE +extern int flag_diagnostics_show_caret; +#else + int x_flag_diagnostics_show_caret; +#define flag_diagnostics_show_caret global_options.x_flag_diagnostics_show_caret +#endif +#ifdef GENERATOR_FILE +extern int flag_diagnostics_show_option; +#else + int x_flag_diagnostics_show_option; +#define flag_diagnostics_show_option global_options.x_flag_diagnostics_show_option +#endif +#ifdef GENERATOR_FILE +extern int flag_dollar_ok; +#else + int x_flag_dollar_ok; +#define flag_dollar_ok global_options.x_flag_dollar_ok +#endif +#ifdef GENERATOR_FILE +extern int flag_dse; +#else + int x_flag_dse; +#define flag_dse global_options.x_flag_dse +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_ada_spec; +#else + int x_flag_dump_ada_spec; +#define flag_dump_ada_spec global_options.x_flag_dump_ada_spec +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_ada_spec_slim; +#else + int x_flag_dump_ada_spec_slim; +#define flag_dump_ada_spec_slim global_options.x_flag_dump_ada_spec_slim +#endif +#ifdef GENERATOR_FILE +extern const char *flag_dump_final_insns; +#else + const char *x_flag_dump_final_insns; +#define flag_dump_final_insns global_options.x_flag_dump_final_insns +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_fortran_optimized; +#else + int x_flag_dump_fortran_optimized; +#define flag_dump_fortran_optimized global_options.x_flag_dump_fortran_optimized +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_fortran_original; +#else + int x_flag_dump_fortran_original; +#define flag_dump_fortran_original global_options.x_flag_dump_fortran_original +#endif +#ifdef GENERATOR_FILE +extern const char *flag_dump_go_spec; +#else + const char *x_flag_dump_go_spec; +#define flag_dump_go_spec global_options.x_flag_dump_go_spec +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_noaddr; +#else + int x_flag_dump_noaddr; +#define flag_dump_noaddr global_options.x_flag_dump_noaddr +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_passes; +#else + int x_flag_dump_passes; +#define flag_dump_passes global_options.x_flag_dump_passes +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_unnumbered; +#else + int x_flag_dump_unnumbered; +#define flag_dump_unnumbered global_options.x_flag_dump_unnumbered +#endif +#ifdef GENERATOR_FILE +extern int flag_dump_unnumbered_links; +#else + int x_flag_dump_unnumbered_links; +#define flag_dump_unnumbered_links global_options.x_flag_dump_unnumbered_links +#endif +#ifdef GENERATOR_FILE +extern int flag_dwarf2_cfi_asm; +#else + int x_flag_dwarf2_cfi_asm; +#define flag_dwarf2_cfi_asm global_options.x_flag_dwarf2_cfi_asm +#endif +#ifdef GENERATOR_FILE +extern int flag_early_inlining; +#else + int x_flag_early_inlining; +#define flag_early_inlining global_options.x_flag_early_inlining +#endif +#ifdef GENERATOR_FILE +extern int flag_elide_constructors; +#else + int x_flag_elide_constructors; +#define flag_elide_constructors global_options.x_flag_elide_constructors +#endif +#ifdef GENERATOR_FILE +extern int flag_eliminate_dwarf2_dups; +#else + int x_flag_eliminate_dwarf2_dups; +#define flag_eliminate_dwarf2_dups global_options.x_flag_eliminate_dwarf2_dups +#endif +#ifdef GENERATOR_FILE +extern int flag_debug_only_used_symbols; +#else + int x_flag_debug_only_used_symbols; +#define flag_debug_only_used_symbols global_options.x_flag_debug_only_used_symbols +#endif +#ifdef GENERATOR_FILE +extern int flag_eliminate_unused_debug_types; +#else + int x_flag_eliminate_unused_debug_types; +#define flag_eliminate_unused_debug_types global_options.x_flag_eliminate_unused_debug_types +#endif +#ifdef GENERATOR_FILE +extern int flag_emit_class_debug_always; +#else + int x_flag_emit_class_debug_always; +#define flag_emit_class_debug_always global_options.x_flag_emit_class_debug_always +#endif +#ifdef GENERATOR_FILE +extern int flag_emit_class_files; +#else + int x_flag_emit_class_files; +#define flag_emit_class_files global_options.x_flag_emit_class_files +#endif +#ifdef GENERATOR_FILE +extern int flag_enforce_eh_specs; +#else + int x_flag_enforce_eh_specs; +#define flag_enforce_eh_specs global_options.x_flag_enforce_eh_specs +#endif +#ifdef GENERATOR_FILE +extern int flag_exceptions; +#else + int x_flag_exceptions; +#define flag_exceptions global_options.x_flag_exceptions +#endif +#ifdef GENERATOR_FILE +extern enum excess_precision flag_excess_precision_cmdline; +#else + enum excess_precision x_flag_excess_precision_cmdline; +#define flag_excess_precision_cmdline global_options.x_flag_excess_precision_cmdline +#endif +#ifdef GENERATOR_FILE +extern int flag_expensive_optimizations; +#else + int x_flag_expensive_optimizations; +#define flag_expensive_optimizations global_options.x_flag_expensive_optimizations +#endif +#ifdef GENERATOR_FILE +extern int flag_extern_tls_init; +#else + int x_flag_extern_tls_init; +#define flag_extern_tls_init global_options.x_flag_extern_tls_init +#endif +#ifdef GENERATOR_FILE +extern int flag_external_blas; +#else + int x_flag_external_blas; +#define flag_external_blas global_options.x_flag_external_blas +#endif +#ifdef GENERATOR_FILE +extern int flag_f2c; +#else + int x_flag_f2c; +#define flag_f2c global_options.x_flag_f2c +#endif +#ifdef GENERATOR_FILE +extern int flag_fat_lto_objects; +#else + int x_flag_fat_lto_objects; +#define flag_fat_lto_objects global_options.x_flag_fat_lto_objects +#endif +#ifdef GENERATOR_FILE +extern int flag_filelist_file; +#else + int x_flag_filelist_file; +#define flag_filelist_file global_options.x_flag_filelist_file +#endif +#ifdef GENERATOR_FILE +extern int flag_finite_math_only; +#else + int x_flag_finite_math_only; +#define flag_finite_math_only global_options.x_flag_finite_math_only +#endif +#ifdef GENERATOR_FILE +extern int flag_fixed_line_length; +#else + int x_flag_fixed_line_length; +#define flag_fixed_line_length global_options.x_flag_fixed_line_length +#endif +#ifdef GENERATOR_FILE +extern int flag_float_store; +#else + int x_flag_float_store; +#define flag_float_store global_options.x_flag_float_store +#endif +#ifdef GENERATOR_FILE +extern int flag_new_for_scope; +#else + int x_flag_new_for_scope; +#define flag_new_for_scope global_options.x_flag_new_for_scope +#endif +#ifdef GENERATOR_FILE +extern int flag_force_classes_archive_check; +#else + int x_flag_force_classes_archive_check; +#define flag_force_classes_archive_check global_options.x_flag_force_classes_archive_check +#endif +#ifdef GENERATOR_FILE +extern int flag_forward_propagate; +#else + int x_flag_forward_propagate; +#define flag_forward_propagate global_options.x_flag_forward_propagate +#endif +#ifdef GENERATOR_FILE +extern enum fp_contract_mode flag_fp_contract_mode; +#else + enum fp_contract_mode x_flag_fp_contract_mode; +#define flag_fp_contract_mode global_options.x_flag_fp_contract_mode +#endif +#ifdef GENERATOR_FILE +extern int flag_free_line_length; +#else + int x_flag_free_line_length; +#define flag_free_line_length global_options.x_flag_free_line_length +#endif +#ifdef GENERATOR_FILE +extern int flag_friend_injection; +#else + int x_flag_friend_injection; +#define flag_friend_injection global_options.x_flag_friend_injection +#endif +#ifdef GENERATOR_FILE +extern int flag_frontend_optimize; +#else + int x_flag_frontend_optimize; +#define flag_frontend_optimize global_options.x_flag_frontend_optimize +#endif +#ifdef GENERATOR_FILE +extern int flag_no_function_cse; +#else + int x_flag_no_function_cse; +#define flag_no_function_cse global_options.x_flag_no_function_cse +#endif +#ifdef GENERATOR_FILE +extern int flag_function_sections; +#else + int x_flag_function_sections; +#define flag_function_sections global_options.x_flag_function_sections +#endif +#ifdef GENERATOR_FILE +extern int flag_gcse; +#else + int x_flag_gcse; +#define flag_gcse global_options.x_flag_gcse +#endif +#ifdef GENERATOR_FILE +extern int flag_gcse_after_reload; +#else + int x_flag_gcse_after_reload; +#define flag_gcse_after_reload global_options.x_flag_gcse_after_reload +#endif +#ifdef GENERATOR_FILE +extern int flag_gcse_las; +#else + int x_flag_gcse_las; +#define flag_gcse_las global_options.x_flag_gcse_las +#endif +#ifdef GENERATOR_FILE +extern int flag_gcse_lm; +#else + int x_flag_gcse_lm; +#define flag_gcse_lm global_options.x_flag_gcse_lm +#endif +#ifdef GENERATOR_FILE +extern int flag_gcse_sm; +#else + int x_flag_gcse_sm; +#define flag_gcse_sm global_options.x_flag_gcse_sm +#endif +#ifdef GENERATOR_FILE +extern int flag_no_gnu_keywords; +#else + int x_flag_no_gnu_keywords; +#define flag_no_gnu_keywords global_options.x_flag_no_gnu_keywords +#endif +#ifdef GENERATOR_FILE +extern int flag_next_runtime; +#else + int x_flag_next_runtime; +#define flag_next_runtime global_options.x_flag_next_runtime +#endif +#ifdef GENERATOR_FILE +extern int flag_tm; +#else + int x_flag_tm; +#define flag_tm global_options.x_flag_tm +#endif +#ifdef GENERATOR_FILE +extern int flag_gnu_unique; +#else + int x_flag_gnu_unique; +#define flag_gnu_unique global_options.x_flag_gnu_unique +#endif +#ifdef GENERATOR_FILE +extern int flag_gnu89_inline; +#else + int x_flag_gnu89_inline; +#define flag_gnu89_inline global_options.x_flag_gnu89_inline +#endif +#ifdef GENERATOR_FILE +extern int go_check_divide_overflow; +#else + int x_go_check_divide_overflow; +#define go_check_divide_overflow global_options.x_go_check_divide_overflow +#endif +#ifdef GENERATOR_FILE +extern int go_check_divide_zero; +#else + int x_go_check_divide_zero; +#define go_check_divide_zero global_options.x_go_check_divide_zero +#endif +#ifdef GENERATOR_FILE +extern int flag_graphite; +#else + int x_flag_graphite; +#define flag_graphite global_options.x_flag_graphite +#endif +#ifdef GENERATOR_FILE +extern int flag_graphite_identity; +#else + int x_flag_graphite_identity; +#define flag_graphite_identity global_options.x_flag_graphite_identity +#endif +#ifdef GENERATOR_FILE +extern int flag_guess_branch_prob; +#else + int x_flag_guess_branch_prob; +#define flag_guess_branch_prob global_options.x_flag_guess_branch_prob +#endif +#ifdef GENERATOR_FILE +extern int flag_hash_synchronization; +#else + int x_flag_hash_synchronization; +#define flag_hash_synchronization global_options.x_flag_hash_synchronization +#endif +#ifdef GENERATOR_FILE +extern int flag_hoist_adjacent_loads; +#else + int x_flag_hoist_adjacent_loads; +#define flag_hoist_adjacent_loads global_options.x_flag_hoist_adjacent_loads +#endif +#ifdef GENERATOR_FILE +extern int flag_no_ident; +#else + int x_flag_no_ident; +#define flag_no_ident global_options.x_flag_no_ident +#endif +#ifdef GENERATOR_FILE +extern int flag_if_conversion; +#else + int x_flag_if_conversion; +#define flag_if_conversion global_options.x_flag_if_conversion +#endif +#ifdef GENERATOR_FILE +extern int flag_if_conversion2; +#else + int x_flag_if_conversion2; +#define flag_if_conversion2 global_options.x_flag_if_conversion2 +#endif +#ifdef GENERATOR_FILE +extern int flag_implement_inlines; +#else + int x_flag_implement_inlines; +#define flag_implement_inlines global_options.x_flag_implement_inlines +#endif +#ifdef GENERATOR_FILE +extern int flag_implicit_inline_templates; +#else + int x_flag_implicit_inline_templates; +#define flag_implicit_inline_templates global_options.x_flag_implicit_inline_templates +#endif +#ifdef GENERATOR_FILE +extern int flag_implicit_none; +#else + int x_flag_implicit_none; +#define flag_implicit_none global_options.x_flag_implicit_none +#endif +#ifdef GENERATOR_FILE +extern int flag_implicit_templates; +#else + int x_flag_implicit_templates; +#define flag_implicit_templates global_options.x_flag_implicit_templates +#endif +#ifdef GENERATOR_FILE +extern int flag_indirect_classes; +#else + int x_flag_indirect_classes; +#define flag_indirect_classes global_options.x_flag_indirect_classes +#endif +#ifdef GENERATOR_FILE +extern int flag_indirect_dispatch; +#else + int x_flag_indirect_dispatch; +#define flag_indirect_dispatch global_options.x_flag_indirect_dispatch +#endif +#ifdef GENERATOR_FILE +extern int flag_indirect_inlining; +#else + int x_flag_indirect_inlining; +#define flag_indirect_inlining global_options.x_flag_indirect_inlining +#endif +#ifdef GENERATOR_FILE +extern int flag_inhibit_size_directive; +#else + int x_flag_inhibit_size_directive; +#define flag_inhibit_size_directive global_options.x_flag_inhibit_size_directive +#endif +#ifdef GENERATOR_FILE +extern enum gfc_init_local_real flag_init_real; +#else + enum gfc_init_local_real x_flag_init_real; +#define flag_init_real global_options.x_flag_init_real +#endif +#ifdef GENERATOR_FILE +extern int flag_no_inline; +#else + int x_flag_no_inline; +#define flag_no_inline global_options.x_flag_no_inline +#endif +#ifdef GENERATOR_FILE +extern int flag_inline_atomics; +#else + int x_flag_inline_atomics; +#define flag_inline_atomics global_options.x_flag_inline_atomics +#endif +#ifdef GENERATOR_FILE +extern int flag_inline_functions; +#else + int x_flag_inline_functions; +#define flag_inline_functions global_options.x_flag_inline_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_inline_functions_called_once; +#else + int x_flag_inline_functions_called_once; +#define flag_inline_functions_called_once global_options.x_flag_inline_functions_called_once +#endif +#ifdef GENERATOR_FILE +extern int flag_inline_small_functions; +#else + int x_flag_inline_small_functions; +#define flag_inline_small_functions global_options.x_flag_inline_small_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_instrument_function_entry_exit; +#else + int x_flag_instrument_function_entry_exit; +#define flag_instrument_function_entry_exit global_options.x_flag_instrument_function_entry_exit +#endif +#ifdef GENERATOR_FILE +extern int flag_integer4_kind; +#else + int x_flag_integer4_kind; +#define flag_integer4_kind global_options.x_flag_integer4_kind +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_cp; +#else + int x_flag_ipa_cp; +#define flag_ipa_cp global_options.x_flag_ipa_cp +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_cp_alignment; +#else + int x_flag_ipa_cp_alignment; +#define flag_ipa_cp_alignment global_options.x_flag_ipa_cp_alignment +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_cp_clone; +#else + int x_flag_ipa_cp_clone; +#define flag_ipa_cp_clone global_options.x_flag_ipa_cp_clone +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_icf; +#else + int x_flag_ipa_icf; +#define flag_ipa_icf global_options.x_flag_ipa_icf +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_icf_functions; +#else + int x_flag_ipa_icf_functions; +#define flag_ipa_icf_functions global_options.x_flag_ipa_icf_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_icf_variables; +#else + int x_flag_ipa_icf_variables; +#define flag_ipa_icf_variables global_options.x_flag_ipa_icf_variables +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_profile; +#else + int x_flag_ipa_profile; +#define flag_ipa_profile global_options.x_flag_ipa_profile +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_pta; +#else + int x_flag_ipa_pta; +#define flag_ipa_pta global_options.x_flag_ipa_pta +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_pure_const; +#else + int x_flag_ipa_pure_const; +#define flag_ipa_pure_const global_options.x_flag_ipa_pure_const +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_ra; +#else + int x_flag_ipa_ra; +#define flag_ipa_ra global_options.x_flag_ipa_ra +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_reference; +#else + int x_flag_ipa_reference; +#define flag_ipa_reference global_options.x_flag_ipa_reference +#endif +#ifdef GENERATOR_FILE +extern int flag_ipa_sra; +#else + int x_flag_ipa_sra; +#define flag_ipa_sra global_options.x_flag_ipa_sra +#endif +#ifdef GENERATOR_FILE +extern enum ira_algorithm flag_ira_algorithm; +#else + enum ira_algorithm x_flag_ira_algorithm; +#define flag_ira_algorithm global_options.x_flag_ira_algorithm +#endif +#ifdef GENERATOR_FILE +extern int flag_ira_hoist_pressure; +#else + int x_flag_ira_hoist_pressure; +#define flag_ira_hoist_pressure global_options.x_flag_ira_hoist_pressure +#endif +#ifdef GENERATOR_FILE +extern int flag_ira_loop_pressure; +#else + int x_flag_ira_loop_pressure; +#define flag_ira_loop_pressure global_options.x_flag_ira_loop_pressure +#endif +#ifdef GENERATOR_FILE +extern enum ira_region flag_ira_region; +#else + enum ira_region x_flag_ira_region; +#define flag_ira_region global_options.x_flag_ira_region +#endif +#ifdef GENERATOR_FILE +extern int flag_ira_share_save_slots; +#else + int x_flag_ira_share_save_slots; +#define flag_ira_share_save_slots global_options.x_flag_ira_share_save_slots +#endif +#ifdef GENERATOR_FILE +extern int flag_ira_share_spill_slots; +#else + int x_flag_ira_share_spill_slots; +#define flag_ira_share_spill_slots global_options.x_flag_ira_share_spill_slots +#endif +#ifdef GENERATOR_FILE +extern int flag_ira_verbose; +#else + int x_flag_ira_verbose; +#define flag_ira_verbose global_options.x_flag_ira_verbose +#endif +#ifdef GENERATOR_FILE +extern int flag_isolate_erroneous_paths_attribute; +#else + int x_flag_isolate_erroneous_paths_attribute; +#define flag_isolate_erroneous_paths_attribute global_options.x_flag_isolate_erroneous_paths_attribute +#endif +#ifdef GENERATOR_FILE +extern int flag_isolate_erroneous_paths_dereference; +#else + int x_flag_isolate_erroneous_paths_dereference; +#define flag_isolate_erroneous_paths_dereference global_options.x_flag_isolate_erroneous_paths_dereference +#endif +#ifdef GENERATOR_FILE +extern enum ivar_visibility default_ivar_visibility; +#else + enum ivar_visibility x_default_ivar_visibility; +#define default_ivar_visibility global_options.x_default_ivar_visibility +#endif +#ifdef GENERATOR_FILE +extern int flag_ivopts; +#else + int x_flag_ivopts; +#define flag_ivopts global_options.x_flag_ivopts +#endif +#ifdef GENERATOR_FILE +extern int flag_jni; +#else + int x_flag_jni; +#define flag_jni global_options.x_flag_jni +#endif +#ifdef GENERATOR_FILE +extern int flag_jump_tables; +#else + int x_flag_jump_tables; +#define flag_jump_tables global_options.x_flag_jump_tables +#endif +#ifdef GENERATOR_FILE +extern int flag_keep_inline_dllexport; +#else + int x_flag_keep_inline_dllexport; +#define flag_keep_inline_dllexport global_options.x_flag_keep_inline_dllexport +#endif +#ifdef GENERATOR_FILE +extern int flag_keep_inline_functions; +#else + int x_flag_keep_inline_functions; +#define flag_keep_inline_functions global_options.x_flag_keep_inline_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_keep_static_consts; +#else + int x_flag_keep_static_consts; +#define flag_keep_static_consts global_options.x_flag_keep_static_consts +#endif +#ifdef GENERATOR_FILE +extern int flag_lax_vector_conversions; +#else + int x_flag_lax_vector_conversions; +#define flag_lax_vector_conversions global_options.x_flag_lax_vector_conversions +#endif +#ifdef GENERATOR_FILE +extern int flag_leading_underscore; +#else + int x_flag_leading_underscore; +#define flag_leading_underscore global_options.x_flag_leading_underscore +#endif +#ifdef GENERATOR_FILE +extern int flag_lifetime_dse; +#else + int x_flag_lifetime_dse; +#define flag_lifetime_dse global_options.x_flag_lifetime_dse +#endif +#ifdef GENERATOR_FILE +extern int flag_live_range_shrinkage; +#else + int x_flag_live_range_shrinkage; +#define flag_live_range_shrinkage global_options.x_flag_live_range_shrinkage +#endif +#ifdef GENERATOR_FILE +extern int flag_local_ivars; +#else + int x_flag_local_ivars; +#define flag_local_ivars global_options.x_flag_local_ivars +#endif +#ifdef GENERATOR_FILE +extern int flag_loop_block; +#else + int x_flag_loop_block; +#define flag_loop_block global_options.x_flag_loop_block +#endif +#ifdef GENERATOR_FILE +extern int flag_loop_interchange; +#else + int x_flag_loop_interchange; +#define flag_loop_interchange global_options.x_flag_loop_interchange +#endif +#ifdef GENERATOR_FILE +extern int flag_loop_optimize_isl; +#else + int x_flag_loop_optimize_isl; +#define flag_loop_optimize_isl global_options.x_flag_loop_optimize_isl +#endif +#ifdef GENERATOR_FILE +extern int flag_loop_parallelize_all; +#else + int x_flag_loop_parallelize_all; +#define flag_loop_parallelize_all global_options.x_flag_loop_parallelize_all +#endif +#ifdef GENERATOR_FILE +extern int flag_loop_strip_mine; +#else + int x_flag_loop_strip_mine; +#define flag_loop_strip_mine global_options.x_flag_loop_strip_mine +#endif +#ifdef GENERATOR_FILE +extern int flag_loop_unroll_jam; +#else + int x_flag_loop_unroll_jam; +#define flag_loop_unroll_jam global_options.x_flag_loop_unroll_jam +#endif +#ifdef GENERATOR_FILE +extern int flag_lra_remat; +#else + int x_flag_lra_remat; +#define flag_lra_remat global_options.x_flag_lra_remat +#endif +#ifdef GENERATOR_FILE +extern int flag_lto_compression_level; +#else + int x_flag_lto_compression_level; +#define flag_lto_compression_level global_options.x_flag_lto_compression_level +#endif +#ifdef GENERATOR_FILE +extern int flag_lto_odr_type_mering; +#else + int x_flag_lto_odr_type_mering; +#define flag_lto_odr_type_mering global_options.x_flag_lto_odr_type_mering +#endif +#ifdef GENERATOR_FILE +extern enum lto_partition_model flag_lto_partition; +#else + enum lto_partition_model x_flag_lto_partition; +#define flag_lto_partition global_options.x_flag_lto_partition +#endif +#ifdef GENERATOR_FILE +extern int flag_lto_report; +#else + int x_flag_lto_report; +#define flag_lto_report global_options.x_flag_lto_report +#endif +#ifdef GENERATOR_FILE +extern int flag_lto_report_wpa; +#else + int x_flag_lto_report_wpa; +#define flag_lto_report_wpa global_options.x_flag_lto_report_wpa +#endif +#ifdef GENERATOR_FILE +extern const char *flag_lto; +#else + const char *x_flag_lto; +#define flag_lto global_options.x_flag_lto +#endif +#ifdef GENERATOR_FILE +extern int flag_ltrans; +#else + int x_flag_ltrans; +#define flag_ltrans global_options.x_flag_ltrans +#endif +#ifdef GENERATOR_FILE +extern const char *ltrans_output_list; +#else + const char *x_ltrans_output_list; +#define ltrans_output_list global_options.x_ltrans_output_list +#endif +#ifdef GENERATOR_FILE +extern int flag_errno_math; +#else + int x_flag_errno_math; +#define flag_errno_math global_options.x_flag_errno_math +#endif +#ifdef GENERATOR_FILE +extern int flag_max_array_constructor; +#else + int x_flag_max_array_constructor; +#define flag_max_array_constructor global_options.x_flag_max_array_constructor +#endif +#ifdef GENERATOR_FILE +extern int flag_max_errors; +#else + int x_flag_max_errors; +#define flag_max_errors global_options.x_flag_max_errors +#endif +#ifdef GENERATOR_FILE +extern int flag_max_stack_var_size; +#else + int x_flag_max_stack_var_size; +#define flag_max_stack_var_size global_options.x_flag_max_stack_var_size +#endif +#ifdef GENERATOR_FILE +extern int flag_max_subrecord_length; +#else + int x_flag_max_subrecord_length; +#define flag_max_subrecord_length global_options.x_flag_max_subrecord_length +#endif +#ifdef GENERATOR_FILE +extern int mem_report; +#else + int x_mem_report; +#define mem_report global_options.x_mem_report +#endif +#ifdef GENERATOR_FILE +extern int mem_report_wpa; +#else + int x_mem_report_wpa; +#define mem_report_wpa global_options.x_mem_report_wpa +#endif +#ifdef GENERATOR_FILE +extern int flag_merge_constants; +#else + int x_flag_merge_constants; +#define flag_merge_constants global_options.x_flag_merge_constants +#endif +#ifdef GENERATOR_FILE +extern int flag_merge_debug_strings; +#else + int x_flag_merge_debug_strings; +#define flag_merge_debug_strings global_options.x_flag_merge_debug_strings +#endif +#ifdef GENERATOR_FILE +extern int flag_module_private; +#else + int x_flag_module_private; +#define flag_module_private global_options.x_flag_module_private +#endif +#ifdef GENERATOR_FILE +extern int flag_modulo_sched; +#else + int x_flag_modulo_sched; +#define flag_modulo_sched global_options.x_flag_modulo_sched +#endif +#ifdef GENERATOR_FILE +extern int flag_modulo_sched_allow_regmoves; +#else + int x_flag_modulo_sched_allow_regmoves; +#define flag_modulo_sched_allow_regmoves global_options.x_flag_modulo_sched_allow_regmoves +#endif +#ifdef GENERATOR_FILE +extern int flag_move_loop_invariants; +#else + int x_flag_move_loop_invariants; +#define flag_move_loop_invariants global_options.x_flag_move_loop_invariants +#endif +#ifdef GENERATOR_FILE +extern int flag_ms_extensions; +#else + int x_flag_ms_extensions; +#define flag_ms_extensions global_options.x_flag_ms_extensions +#endif +#ifdef GENERATOR_FILE +extern int flag_nil_receivers; +#else + int x_flag_nil_receivers; +#define flag_nil_receivers global_options.x_flag_nil_receivers +#endif +#ifdef GENERATOR_FILE +extern int flag_non_call_exceptions; +#else + int x_flag_non_call_exceptions; +#define flag_non_call_exceptions global_options.x_flag_non_call_exceptions +#endif +#ifdef GENERATOR_FILE +extern int flag_no_nonansi_builtin; +#else + int x_flag_no_nonansi_builtin; +#define flag_no_nonansi_builtin global_options.x_flag_no_nonansi_builtin +#endif +#ifdef GENERATOR_FILE +extern int flag_nothrow_opt; +#else + int x_flag_nothrow_opt; +#define flag_nothrow_opt global_options.x_flag_nothrow_opt +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_abi; +#else + int x_flag_objc_abi; +#define flag_objc_abi global_options.x_flag_objc_abi +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_call_cxx_cdtors; +#else + int x_flag_objc_call_cxx_cdtors; +#define flag_objc_call_cxx_cdtors global_options.x_flag_objc_call_cxx_cdtors +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_direct_dispatch; +#else + int x_flag_objc_direct_dispatch; +#define flag_objc_direct_dispatch global_options.x_flag_objc_direct_dispatch +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_exceptions; +#else + int x_flag_objc_exceptions; +#define flag_objc_exceptions global_options.x_flag_objc_exceptions +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_gc; +#else + int x_flag_objc_gc; +#define flag_objc_gc global_options.x_flag_objc_gc +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_nilcheck; +#else + int x_flag_objc_nilcheck; +#define flag_objc_nilcheck global_options.x_flag_objc_nilcheck +#endif +#ifdef GENERATOR_FILE +extern int flag_objc_sjlj_exceptions; +#else + int x_flag_objc_sjlj_exceptions; +#define flag_objc_sjlj_exceptions global_options.x_flag_objc_sjlj_exceptions +#endif +#ifdef GENERATOR_FILE +extern int flag_objc1_only; +#else + int x_flag_objc1_only; +#define flag_objc1_only global_options.x_flag_objc1_only +#endif +#ifdef GENERATOR_FILE +extern enum offload_abi flag_offload_abi; +#else + enum offload_abi x_flag_offload_abi; +#define flag_offload_abi global_options.x_flag_offload_abi +#endif +#ifdef GENERATOR_FILE +extern int flag_omit_frame_pointer; +#else + int x_flag_omit_frame_pointer; +#define flag_omit_frame_pointer global_options.x_flag_omit_frame_pointer +#endif +#ifdef GENERATOR_FILE +extern int flag_openacc; +#else + int x_flag_openacc; +#define flag_openacc global_options.x_flag_openacc +#endif +#ifdef GENERATOR_FILE +extern int flag_openmp; +#else + int x_flag_openmp; +#define flag_openmp global_options.x_flag_openmp +#endif +#ifdef GENERATOR_FILE +extern int flag_openmp_simd; +#else + int x_flag_openmp_simd; +#define flag_openmp_simd global_options.x_flag_openmp_simd +#endif +#ifdef GENERATOR_FILE +extern int flag_opt_info; +#else + int x_flag_opt_info; +#define flag_opt_info global_options.x_flag_opt_info +#endif +#ifdef GENERATOR_FILE +extern int flag_optimize_sibling_calls; +#else + int x_flag_optimize_sibling_calls; +#define flag_optimize_sibling_calls global_options.x_flag_optimize_sibling_calls +#endif +#ifdef GENERATOR_FILE +extern int flag_optimize_sci; +#else + int x_flag_optimize_sci; +#define flag_optimize_sci global_options.x_flag_optimize_sci +#endif +#ifdef GENERATOR_FILE +extern int flag_optimize_strlen; +#else + int x_flag_optimize_strlen; +#define flag_optimize_strlen global_options.x_flag_optimize_strlen +#endif +#ifdef GENERATOR_FILE +extern int flag_pack_derived; +#else + int x_flag_pack_derived; +#define flag_pack_derived global_options.x_flag_pack_derived +#endif +#ifdef GENERATOR_FILE +extern int flag_pack_struct; +#else + int x_flag_pack_struct; +#define flag_pack_struct global_options.x_flag_pack_struct +#endif +#ifdef GENERATOR_FILE +extern int flag_partial_inlining; +#else + int x_flag_partial_inlining; +#define flag_partial_inlining global_options.x_flag_partial_inlining +#endif +#ifdef GENERATOR_FILE +extern int flag_pcc_struct_return; +#else + int x_flag_pcc_struct_return; +#define flag_pcc_struct_return global_options.x_flag_pcc_struct_return +#endif +#ifdef GENERATOR_FILE +extern int flag_peel_loops; +#else + int x_flag_peel_loops; +#define flag_peel_loops global_options.x_flag_peel_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_no_peephole; +#else + int x_flag_no_peephole; +#define flag_no_peephole global_options.x_flag_no_peephole +#endif +#ifdef GENERATOR_FILE +extern int flag_peephole2; +#else + int x_flag_peephole2; +#define flag_peephole2 global_options.x_flag_peephole2 +#endif +#ifdef GENERATOR_FILE +extern int flag_permissive; +#else + int x_flag_permissive; +#define flag_permissive global_options.x_flag_permissive +#endif +#ifdef GENERATOR_FILE +extern int flag_plan9_extensions; +#else + int x_flag_plan9_extensions; +#define flag_plan9_extensions global_options.x_flag_plan9_extensions +#endif +#ifdef GENERATOR_FILE +extern int post_ipa_mem_report; +#else + int x_post_ipa_mem_report; +#define post_ipa_mem_report global_options.x_post_ipa_mem_report +#endif +#ifdef GENERATOR_FILE +extern int pre_ipa_mem_report; +#else + int x_pre_ipa_mem_report; +#define pre_ipa_mem_report global_options.x_pre_ipa_mem_report +#endif +#ifdef GENERATOR_FILE +extern int flag_predictive_commoning; +#else + int x_flag_predictive_commoning; +#define flag_predictive_commoning global_options.x_flag_predictive_commoning +#endif +#ifdef GENERATOR_FILE +extern int flag_prefetch_loop_arrays; +#else + int x_flag_prefetch_loop_arrays; +#define flag_prefetch_loop_arrays global_options.x_flag_prefetch_loop_arrays +#endif +#ifdef GENERATOR_FILE +extern int flag_pretty_templates; +#else + int x_flag_pretty_templates; +#define flag_pretty_templates global_options.x_flag_pretty_templates +#endif +#ifdef GENERATOR_FILE +extern int profile_flag; +#else + int x_profile_flag; +#define profile_flag global_options.x_profile_flag +#endif +#ifdef GENERATOR_FILE +extern int profile_arc_flag; +#else + int x_profile_arc_flag; +#define profile_arc_flag global_options.x_profile_arc_flag +#endif +#ifdef GENERATOR_FILE +extern int flag_profile_correction; +#else + int x_flag_profile_correction; +#define flag_profile_correction global_options.x_flag_profile_correction +#endif +#ifdef GENERATOR_FILE +extern const char *profile_data_prefix; +#else + const char *x_profile_data_prefix; +#define profile_data_prefix global_options.x_profile_data_prefix +#endif +#ifdef GENERATOR_FILE +extern int flag_profile_reorder_functions; +#else + int x_flag_profile_reorder_functions; +#define flag_profile_reorder_functions global_options.x_flag_profile_reorder_functions +#endif +#ifdef GENERATOR_FILE +extern int profile_report; +#else + int x_profile_report; +#define profile_report global_options.x_profile_report +#endif +#ifdef GENERATOR_FILE +extern int flag_profile_use; +#else + int x_flag_profile_use; +#define flag_profile_use global_options.x_flag_profile_use +#endif +#ifdef GENERATOR_FILE +extern int flag_profile_values; +#else + int x_flag_profile_values; +#define flag_profile_values global_options.x_flag_profile_values +#endif +#ifdef GENERATOR_FILE +extern int flag_protect_parens; +#else + int x_flag_protect_parens; +#define flag_protect_parens global_options.x_flag_protect_parens +#endif +#ifdef GENERATOR_FILE +extern int flag_range_check; +#else + int x_flag_range_check; +#define flag_range_check global_options.x_flag_range_check +#endif +#ifdef GENERATOR_FILE +extern int flag_real4_kind; +#else + int x_flag_real4_kind; +#define flag_real4_kind global_options.x_flag_real4_kind +#endif +#ifdef GENERATOR_FILE +extern int flag_real8_kind; +#else + int x_flag_real8_kind; +#define flag_real8_kind global_options.x_flag_real8_kind +#endif +#ifdef GENERATOR_FILE +extern int flag_realloc_lhs; +#else + int x_flag_realloc_lhs; +#define flag_realloc_lhs global_options.x_flag_realloc_lhs +#endif +#ifdef GENERATOR_FILE +extern int flag_reciprocal_math; +#else + int x_flag_reciprocal_math; +#define flag_reciprocal_math global_options.x_flag_reciprocal_math +#endif +#ifdef GENERATOR_FILE +extern int flag_record_gcc_switches; +#else + int x_flag_record_gcc_switches; +#define flag_record_gcc_switches global_options.x_flag_record_gcc_switches +#endif +#ifdef GENERATOR_FILE +extern int flag_record_marker; +#else + int x_flag_record_marker; +#define flag_record_marker global_options.x_flag_record_marker +#endif +#ifdef GENERATOR_FILE +extern int flag_recursive; +#else + int x_flag_recursive; +#define flag_recursive global_options.x_flag_recursive +#endif +#ifdef GENERATOR_FILE +extern int flag_reduced_reflection; +#else + int x_flag_reduced_reflection; +#define flag_reduced_reflection global_options.x_flag_reduced_reflection +#endif +#ifdef GENERATOR_FILE +extern int flag_ree; +#else + int x_flag_ree; +#define flag_ree global_options.x_flag_ree +#endif +#ifdef GENERATOR_FILE +extern int flag_rename_registers; +#else + int x_flag_rename_registers; +#define flag_rename_registers global_options.x_flag_rename_registers +#endif +#ifdef GENERATOR_FILE +extern int flag_reorder_blocks; +#else + int x_flag_reorder_blocks; +#define flag_reorder_blocks global_options.x_flag_reorder_blocks +#endif +#ifdef GENERATOR_FILE +extern int flag_reorder_blocks_and_partition; +#else + int x_flag_reorder_blocks_and_partition; +#define flag_reorder_blocks_and_partition global_options.x_flag_reorder_blocks_and_partition +#endif +#ifdef GENERATOR_FILE +extern int flag_reorder_functions; +#else + int x_flag_reorder_functions; +#define flag_reorder_functions global_options.x_flag_reorder_functions +#endif +#ifdef GENERATOR_FILE +extern int flag_repack_arrays; +#else + int x_flag_repack_arrays; +#define flag_repack_arrays global_options.x_flag_repack_arrays +#endif +#ifdef GENERATOR_FILE +extern int flag_replace_objc_classes; +#else + int x_flag_replace_objc_classes; +#define flag_replace_objc_classes global_options.x_flag_replace_objc_classes +#endif +#ifdef GENERATOR_FILE +extern int flag_report_bug; +#else + int x_flag_report_bug; +#define flag_report_bug global_options.x_flag_report_bug +#endif +#ifdef GENERATOR_FILE +extern int go_require_return_statement; +#else + int x_go_require_return_statement; +#define go_require_return_statement global_options.x_go_require_return_statement +#endif +#ifdef GENERATOR_FILE +extern int flag_rerun_cse_after_loop; +#else + int x_flag_rerun_cse_after_loop; +#define flag_rerun_cse_after_loop global_options.x_flag_rerun_cse_after_loop +#endif +#ifdef GENERATOR_FILE +extern int flag_resched_modulo_sched; +#else + int x_flag_resched_modulo_sched; +#define flag_resched_modulo_sched global_options.x_flag_resched_modulo_sched +#endif +#ifdef GENERATOR_FILE +extern int flag_rounding_math; +#else + int x_flag_rounding_math; +#define flag_rounding_math global_options.x_flag_rounding_math +#endif +#ifdef GENERATOR_FILE +extern int flag_rtti; +#else + int x_flag_rtti; +#define flag_rtti global_options.x_flag_rtti +#endif +#ifdef GENERATOR_FILE +extern int flag_sanitize_undefined_trap_on_error; +#else + int x_flag_sanitize_undefined_trap_on_error; +#define flag_sanitize_undefined_trap_on_error global_options.x_flag_sanitize_undefined_trap_on_error +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_critical_path_heuristic; +#else + int x_flag_sched_critical_path_heuristic; +#define flag_sched_critical_path_heuristic global_options.x_flag_sched_critical_path_heuristic +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_dep_count_heuristic; +#else + int x_flag_sched_dep_count_heuristic; +#define flag_sched_dep_count_heuristic global_options.x_flag_sched_dep_count_heuristic +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_group_heuristic; +#else + int x_flag_sched_group_heuristic; +#define flag_sched_group_heuristic global_options.x_flag_sched_group_heuristic +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_interblock; +#else + int x_flag_schedule_interblock; +#define flag_schedule_interblock global_options.x_flag_schedule_interblock +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_last_insn_heuristic; +#else + int x_flag_sched_last_insn_heuristic; +#define flag_sched_last_insn_heuristic global_options.x_flag_sched_last_insn_heuristic +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_pressure; +#else + int x_flag_sched_pressure; +#define flag_sched_pressure global_options.x_flag_sched_pressure +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_rank_heuristic; +#else + int x_flag_sched_rank_heuristic; +#define flag_sched_rank_heuristic global_options.x_flag_sched_rank_heuristic +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_speculative; +#else + int x_flag_schedule_speculative; +#define flag_schedule_speculative global_options.x_flag_schedule_speculative +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_spec_insn_heuristic; +#else + int x_flag_sched_spec_insn_heuristic; +#define flag_sched_spec_insn_heuristic global_options.x_flag_sched_spec_insn_heuristic +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_speculative_load; +#else + int x_flag_schedule_speculative_load; +#define flag_schedule_speculative_load global_options.x_flag_schedule_speculative_load +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_speculative_load_dangerous; +#else + int x_flag_schedule_speculative_load_dangerous; +#define flag_schedule_speculative_load_dangerous global_options.x_flag_schedule_speculative_load_dangerous +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_stalled_insns; +#else + int x_flag_sched_stalled_insns; +#define flag_sched_stalled_insns global_options.x_flag_sched_stalled_insns +#endif +#ifdef GENERATOR_FILE +extern int flag_sched_stalled_insns_dep; +#else + int x_flag_sched_stalled_insns_dep; +#define flag_sched_stalled_insns_dep global_options.x_flag_sched_stalled_insns_dep +#endif +#ifdef GENERATOR_FILE +extern int sched_verbose_param; +#else + int x_sched_verbose_param; +#define sched_verbose_param global_options.x_sched_verbose_param +#endif +#ifdef GENERATOR_FILE +extern int flag_sched2_use_superblocks; +#else + int x_flag_sched2_use_superblocks; +#define flag_sched2_use_superblocks global_options.x_flag_sched2_use_superblocks +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_fusion; +#else + int x_flag_schedule_fusion; +#define flag_schedule_fusion global_options.x_flag_schedule_fusion +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_insns; +#else + int x_flag_schedule_insns; +#define flag_schedule_insns global_options.x_flag_schedule_insns +#endif +#ifdef GENERATOR_FILE +extern int flag_schedule_insns_after_reload; +#else + int x_flag_schedule_insns_after_reload; +#define flag_schedule_insns_after_reload global_options.x_flag_schedule_insns_after_reload +#endif +#ifdef GENERATOR_FILE +extern int flag_second_underscore; +#else + int x_flag_second_underscore; +#define flag_second_underscore global_options.x_flag_second_underscore +#endif +#ifdef GENERATOR_FILE +extern int flag_section_anchors; +#else + int x_flag_section_anchors; +#define flag_section_anchors global_options.x_flag_section_anchors +#endif +#ifdef GENERATOR_FILE +extern int flag_sel_sched_pipelining; +#else + int x_flag_sel_sched_pipelining; +#define flag_sel_sched_pipelining global_options.x_flag_sel_sched_pipelining +#endif +#ifdef GENERATOR_FILE +extern int flag_sel_sched_pipelining_outer_loops; +#else + int x_flag_sel_sched_pipelining_outer_loops; +#define flag_sel_sched_pipelining_outer_loops global_options.x_flag_sel_sched_pipelining_outer_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_sel_sched_reschedule_pipelined; +#else + int x_flag_sel_sched_reschedule_pipelined; +#define flag_sel_sched_reschedule_pipelined global_options.x_flag_sel_sched_reschedule_pipelined +#endif +#ifdef GENERATOR_FILE +extern int flag_selective_scheduling; +#else + int x_flag_selective_scheduling; +#define flag_selective_scheduling global_options.x_flag_selective_scheduling +#endif +#ifdef GENERATOR_FILE +extern int flag_selective_scheduling2; +#else + int x_flag_selective_scheduling2; +#define flag_selective_scheduling2 global_options.x_flag_selective_scheduling2 +#endif +#ifdef GENERATOR_FILE +extern int flag_semantic_interposition; +#else + int x_flag_semantic_interposition; +#define flag_semantic_interposition global_options.x_flag_semantic_interposition +#endif +#ifdef GENERATOR_FILE +extern int flag_setstackexecutable; +#else + int x_flag_setstackexecutable; +#define flag_setstackexecutable global_options.x_flag_setstackexecutable +#endif +#ifdef GENERATOR_FILE +extern int flag_short_double; +#else + int x_flag_short_double; +#define flag_short_double global_options.x_flag_short_double +#endif +#ifdef GENERATOR_FILE +extern int flag_short_enums; +#else + int x_flag_short_enums; +#define flag_short_enums global_options.x_flag_short_enums +#endif +#ifdef GENERATOR_FILE +extern int flag_short_wchar; +#else + int x_flag_short_wchar; +#define flag_short_wchar global_options.x_flag_short_wchar +#endif +#ifdef GENERATOR_FILE +extern int flag_show_column; +#else + int x_flag_show_column; +#define flag_show_column global_options.x_flag_show_column +#endif +#ifdef GENERATOR_FILE +extern int flag_shrink_wrap; +#else + int x_flag_shrink_wrap; +#define flag_shrink_wrap global_options.x_flag_shrink_wrap +#endif +#ifdef GENERATOR_FILE +extern int flag_sign_zero; +#else + int x_flag_sign_zero; +#define flag_sign_zero global_options.x_flag_sign_zero +#endif +#ifdef GENERATOR_FILE +extern int flag_signaling_nans; +#else + int x_flag_signaling_nans; +#define flag_signaling_nans global_options.x_flag_signaling_nans +#endif +#ifdef GENERATOR_FILE +extern int flag_signed_bitfields; +#else + int x_flag_signed_bitfields; +#define flag_signed_bitfields global_options.x_flag_signed_bitfields +#endif +#ifdef GENERATOR_FILE +extern int flag_signed_char; +#else + int x_flag_signed_char; +#define flag_signed_char global_options.x_flag_signed_char +#endif +#ifdef GENERATOR_FILE +extern int flag_signed_zeros; +#else + int x_flag_signed_zeros; +#define flag_signed_zeros global_options.x_flag_signed_zeros +#endif +#ifdef GENERATOR_FILE +extern enum vect_cost_model flag_simd_cost_model; +#else + enum vect_cost_model x_flag_simd_cost_model; +#define flag_simd_cost_model global_options.x_flag_simd_cost_model +#endif +#ifdef GENERATOR_FILE +extern int flag_single_precision_constant; +#else + int x_flag_single_precision_constant; +#define flag_single_precision_constant global_options.x_flag_single_precision_constant +#endif +#ifdef GENERATOR_FILE +extern int flag_sized_deallocation; +#else + int x_flag_sized_deallocation; +#define flag_sized_deallocation global_options.x_flag_sized_deallocation +#endif +#ifdef GENERATOR_FILE +extern int flag_split_ivs_in_unroller; +#else + int x_flag_split_ivs_in_unroller; +#define flag_split_ivs_in_unroller global_options.x_flag_split_ivs_in_unroller +#endif +#ifdef GENERATOR_FILE +extern int flag_split_stack; +#else + int x_flag_split_stack; +#define flag_split_stack global_options.x_flag_split_stack +#endif +#ifdef GENERATOR_FILE +extern int flag_split_wide_types; +#else + int x_flag_split_wide_types; +#define flag_split_wide_types global_options.x_flag_split_wide_types +#endif +#ifdef GENERATOR_FILE +extern int flag_ssa_phiopt; +#else + int x_flag_ssa_phiopt; +#define flag_ssa_phiopt global_options.x_flag_ssa_phiopt +#endif +#ifdef GENERATOR_FILE +extern int flag_stack_arrays; +#else + int x_flag_stack_arrays; +#define flag_stack_arrays global_options.x_flag_stack_arrays +#endif +#ifdef GENERATOR_FILE +extern int flag_stack_protect; +#else + int x_flag_stack_protect; +#define flag_stack_protect global_options.x_flag_stack_protect +#endif +#ifdef GENERATOR_FILE +extern enum stack_reuse_level flag_stack_reuse; +#else + enum stack_reuse_level x_flag_stack_reuse; +#define flag_stack_reuse global_options.x_flag_stack_reuse +#endif +#ifdef GENERATOR_FILE +extern int flag_stack_usage; +#else + int x_flag_stack_usage; +#define flag_stack_usage global_options.x_flag_stack_usage +#endif +#ifdef GENERATOR_FILE +extern int flag_detailed_statistics; +#else + int x_flag_detailed_statistics; +#define flag_detailed_statistics global_options.x_flag_detailed_statistics +#endif +#ifdef GENERATOR_FILE +extern int flag_stdarg_opt; +#else + int x_flag_stdarg_opt; +#define flag_stdarg_opt global_options.x_flag_stdarg_opt +#endif +#ifdef GENERATOR_FILE +extern int flag_store_check; +#else + int x_flag_store_check; +#define flag_store_check global_options.x_flag_store_check +#endif +#ifdef GENERATOR_FILE +extern int flag_strict_aliasing; +#else + int x_flag_strict_aliasing; +#define flag_strict_aliasing global_options.x_flag_strict_aliasing +#endif +#ifdef GENERATOR_FILE +extern int flag_strict_enums; +#else + int x_flag_strict_enums; +#define flag_strict_enums global_options.x_flag_strict_enums +#endif +#ifdef GENERATOR_FILE +extern int flag_strict_overflow; +#else + int x_flag_strict_overflow; +#define flag_strict_overflow global_options.x_flag_strict_overflow +#endif +#ifdef GENERATOR_FILE +extern int flag_strict_volatile_bitfields; +#else + int x_flag_strict_volatile_bitfields; +#define flag_strict_volatile_bitfields global_options.x_flag_strict_volatile_bitfields +#endif +#ifdef GENERATOR_FILE +extern int flag_sync_libcalls; +#else + int x_flag_sync_libcalls; +#define flag_sync_libcalls global_options.x_flag_sync_libcalls +#endif +#ifdef GENERATOR_FILE +extern int flag_syntax_only; +#else + int x_flag_syntax_only; +#define flag_syntax_only global_options.x_flag_syntax_only +#endif +#ifdef GENERATOR_FILE +extern int template_backtrace_limit; +#else + int x_template_backtrace_limit; +#define template_backtrace_limit global_options.x_template_backtrace_limit +#endif +#ifdef GENERATOR_FILE +extern int flag_test_coverage; +#else + int x_flag_test_coverage; +#define flag_test_coverage global_options.x_flag_test_coverage +#endif +#ifdef GENERATOR_FILE +extern int flag_thread_jumps; +#else + int x_flag_thread_jumps; +#define flag_thread_jumps global_options.x_flag_thread_jumps +#endif +#ifdef GENERATOR_FILE +extern int flag_threadsafe_statics; +#else + int x_flag_threadsafe_statics; +#define flag_threadsafe_statics global_options.x_flag_threadsafe_statics +#endif +#ifdef GENERATOR_FILE +extern int time_report; +#else + int x_time_report; +#define time_report global_options.x_time_report +#endif +#ifdef GENERATOR_FILE +extern enum tls_model flag_tls_default; +#else + enum tls_model x_flag_tls_default; +#define flag_tls_default global_options.x_flag_tls_default +#endif +#ifdef GENERATOR_FILE +extern int flag_toplevel_reorder; +#else + int x_flag_toplevel_reorder; +#define flag_toplevel_reorder global_options.x_flag_toplevel_reorder +#endif +#ifdef GENERATOR_FILE +extern int flag_tracer; +#else + int x_flag_tracer; +#define flag_tracer global_options.x_flag_tracer +#endif +#ifdef GENERATOR_FILE +extern int flag_trapping_math; +#else + int x_flag_trapping_math; +#define flag_trapping_math global_options.x_flag_trapping_math +#endif +#ifdef GENERATOR_FILE +extern int flag_trapv; +#else + int x_flag_trapv; +#define flag_trapv global_options.x_flag_trapv +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_bit_ccp; +#else + int x_flag_tree_bit_ccp; +#define flag_tree_bit_ccp global_options.x_flag_tree_bit_ccp +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_builtin_call_dce; +#else + int x_flag_tree_builtin_call_dce; +#define flag_tree_builtin_call_dce global_options.x_flag_tree_builtin_call_dce +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_ccp; +#else + int x_flag_tree_ccp; +#define flag_tree_ccp global_options.x_flag_tree_ccp +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_ch; +#else + int x_flag_tree_ch; +#define flag_tree_ch global_options.x_flag_tree_ch +#endif +#ifdef GENERATOR_FILE +extern int flag_ssa_coalesce_vars; +#else + int x_flag_ssa_coalesce_vars; +#define flag_ssa_coalesce_vars global_options.x_flag_ssa_coalesce_vars +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_copy_prop; +#else + int x_flag_tree_copy_prop; +#define flag_tree_copy_prop global_options.x_flag_tree_copy_prop +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_copyrename; +#else + int x_flag_tree_copyrename; +#define flag_tree_copyrename global_options.x_flag_tree_copyrename +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_cselim; +#else + int x_flag_tree_cselim; +#define flag_tree_cselim global_options.x_flag_tree_cselim +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_dce; +#else + int x_flag_tree_dce; +#define flag_tree_dce global_options.x_flag_tree_dce +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_dom; +#else + int x_flag_tree_dom; +#define flag_tree_dom global_options.x_flag_tree_dom +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_dse; +#else + int x_flag_tree_dse; +#define flag_tree_dse global_options.x_flag_tree_dse +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_forwprop; +#else + int x_flag_tree_forwprop; +#define flag_tree_forwprop global_options.x_flag_tree_forwprop +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_fre; +#else + int x_flag_tree_fre; +#define flag_tree_fre global_options.x_flag_tree_fre +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_distribute_patterns; +#else + int x_flag_tree_loop_distribute_patterns; +#define flag_tree_loop_distribute_patterns global_options.x_flag_tree_loop_distribute_patterns +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_distribution; +#else + int x_flag_tree_loop_distribution; +#define flag_tree_loop_distribution global_options.x_flag_tree_loop_distribution +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_if_convert; +#else + int x_flag_tree_loop_if_convert; +#define flag_tree_loop_if_convert global_options.x_flag_tree_loop_if_convert +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_if_convert_stores; +#else + int x_flag_tree_loop_if_convert_stores; +#define flag_tree_loop_if_convert_stores global_options.x_flag_tree_loop_if_convert_stores +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_im; +#else + int x_flag_tree_loop_im; +#define flag_tree_loop_im global_options.x_flag_tree_loop_im +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_ivcanon; +#else + int x_flag_tree_loop_ivcanon; +#define flag_tree_loop_ivcanon global_options.x_flag_tree_loop_ivcanon +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_optimize; +#else + int x_flag_tree_loop_optimize; +#define flag_tree_loop_optimize global_options.x_flag_tree_loop_optimize +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_loop_vectorize; +#else + int x_flag_tree_loop_vectorize; +#define flag_tree_loop_vectorize global_options.x_flag_tree_loop_vectorize +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_live_range_split; +#else + int x_flag_tree_live_range_split; +#define flag_tree_live_range_split global_options.x_flag_tree_live_range_split +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_parallelize_loops; +#else + int x_flag_tree_parallelize_loops; +#define flag_tree_parallelize_loops global_options.x_flag_tree_parallelize_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_partial_pre; +#else + int x_flag_tree_partial_pre; +#define flag_tree_partial_pre global_options.x_flag_tree_partial_pre +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_phiprop; +#else + int x_flag_tree_phiprop; +#define flag_tree_phiprop global_options.x_flag_tree_phiprop +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_pre; +#else + int x_flag_tree_pre; +#define flag_tree_pre global_options.x_flag_tree_pre +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_pta; +#else + int x_flag_tree_pta; +#define flag_tree_pta global_options.x_flag_tree_pta +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_reassoc; +#else + int x_flag_tree_reassoc; +#define flag_tree_reassoc global_options.x_flag_tree_reassoc +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_scev_cprop; +#else + int x_flag_tree_scev_cprop; +#define flag_tree_scev_cprop global_options.x_flag_tree_scev_cprop +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_sink; +#else + int x_flag_tree_sink; +#define flag_tree_sink global_options.x_flag_tree_sink +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_slp_vectorize; +#else + int x_flag_tree_slp_vectorize; +#define flag_tree_slp_vectorize global_options.x_flag_tree_slp_vectorize +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_slsr; +#else + int x_flag_tree_slsr; +#define flag_tree_slsr global_options.x_flag_tree_slsr +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_sra; +#else + int x_flag_tree_sra; +#define flag_tree_sra global_options.x_flag_tree_sra +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_switch_conversion; +#else + int x_flag_tree_switch_conversion; +#define flag_tree_switch_conversion global_options.x_flag_tree_switch_conversion +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_tail_merge; +#else + int x_flag_tree_tail_merge; +#define flag_tree_tail_merge global_options.x_flag_tree_tail_merge +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_ter; +#else + int x_flag_tree_ter; +#define flag_tree_ter global_options.x_flag_tree_ter +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_vectorize; +#else + int x_flag_tree_vectorize; +#define flag_tree_vectorize global_options.x_flag_tree_vectorize +#endif +#ifdef GENERATOR_FILE +extern int flag_tree_vrp; +#else + int x_flag_tree_vrp; +#define flag_tree_vrp global_options.x_flag_tree_vrp +#endif +#ifdef GENERATOR_FILE +extern int flag_underscoring; +#else + int x_flag_underscoring; +#define flag_underscoring global_options.x_flag_underscoring +#endif +#ifdef GENERATOR_FILE +extern int flag_unit_at_a_time; +#else + int x_flag_unit_at_a_time; +#define flag_unit_at_a_time global_options.x_flag_unit_at_a_time +#endif +#ifdef GENERATOR_FILE +extern int flag_unroll_all_loops; +#else + int x_flag_unroll_all_loops; +#define flag_unroll_all_loops global_options.x_flag_unroll_all_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_unroll_loops; +#else + int x_flag_unroll_loops; +#define flag_unroll_loops global_options.x_flag_unroll_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_unsafe_loop_optimizations; +#else + int x_flag_unsafe_loop_optimizations; +#define flag_unsafe_loop_optimizations global_options.x_flag_unsafe_loop_optimizations +#endif +#ifdef GENERATOR_FILE +extern int flag_unsafe_math_optimizations; +#else + int x_flag_unsafe_math_optimizations; +#define flag_unsafe_math_optimizations global_options.x_flag_unsafe_math_optimizations +#endif +#ifdef GENERATOR_FILE +extern int flag_unswitch_loops; +#else + int x_flag_unswitch_loops; +#define flag_unswitch_loops global_options.x_flag_unswitch_loops +#endif +#ifdef GENERATOR_FILE +extern int flag_unwind_tables; +#else + int x_flag_unwind_tables; +#define flag_unwind_tables global_options.x_flag_unwind_tables +#endif +#ifdef GENERATOR_FILE +extern int flag_use_atomic_builtins; +#else + int x_flag_use_atomic_builtins; +#define flag_use_atomic_builtins global_options.x_flag_use_atomic_builtins +#endif +#ifdef GENERATOR_FILE +extern int flag_use_boehm_gc; +#else + int x_flag_use_boehm_gc; +#define flag_use_boehm_gc global_options.x_flag_use_boehm_gc +#endif +#ifdef GENERATOR_FILE +extern int flag_use_cxa_atexit; +#else + int x_flag_use_cxa_atexit; +#define flag_use_cxa_atexit global_options.x_flag_use_cxa_atexit +#endif +#ifdef GENERATOR_FILE +extern int flag_use_cxa_get_exception_ptr; +#else + int x_flag_use_cxa_get_exception_ptr; +#define flag_use_cxa_get_exception_ptr global_options.x_flag_use_cxa_get_exception_ptr +#endif +#ifdef GENERATOR_FILE +extern int flag_use_divide_subroutine; +#else + int x_flag_use_divide_subroutine; +#define flag_use_divide_subroutine global_options.x_flag_use_divide_subroutine +#endif +#ifdef GENERATOR_FILE +extern int flag_use_linker_plugin; +#else + int x_flag_use_linker_plugin; +#define flag_use_linker_plugin global_options.x_flag_use_linker_plugin +#endif +#ifdef GENERATOR_FILE +extern int flag_var_tracking; +#else + int x_flag_var_tracking; +#define flag_var_tracking global_options.x_flag_var_tracking +#endif +#ifdef GENERATOR_FILE +extern int flag_var_tracking_assignments; +#else + int x_flag_var_tracking_assignments; +#define flag_var_tracking_assignments global_options.x_flag_var_tracking_assignments +#endif +#ifdef GENERATOR_FILE +extern int flag_var_tracking_assignments_toggle; +#else + int x_flag_var_tracking_assignments_toggle; +#define flag_var_tracking_assignments_toggle global_options.x_flag_var_tracking_assignments_toggle +#endif +#ifdef GENERATOR_FILE +extern int flag_var_tracking_uninit; +#else + int x_flag_var_tracking_uninit; +#define flag_var_tracking_uninit global_options.x_flag_var_tracking_uninit +#endif +#ifdef GENERATOR_FILE +extern int flag_variable_expansion_in_unroller; +#else + int x_flag_variable_expansion_in_unroller; +#define flag_variable_expansion_in_unroller global_options.x_flag_variable_expansion_in_unroller +#endif +#ifdef GENERATOR_FILE +extern enum vect_cost_model flag_vect_cost_model; +#else + enum vect_cost_model x_flag_vect_cost_model; +#define flag_vect_cost_model global_options.x_flag_vect_cost_model +#endif +#ifdef GENERATOR_FILE +extern int flag_verbose_asm; +#else + int x_flag_verbose_asm; +#define flag_verbose_asm global_options.x_flag_verbose_asm +#endif +#ifdef GENERATOR_FILE +extern int flag_visibility_ms_compat; +#else + int x_flag_visibility_ms_compat; +#define flag_visibility_ms_compat global_options.x_flag_visibility_ms_compat +#endif +#ifdef GENERATOR_FILE +extern enum symbol_visibility default_visibility; +#else + enum symbol_visibility x_default_visibility; +#define default_visibility global_options.x_default_visibility +#endif +#ifdef GENERATOR_FILE +extern int flag_value_profile_transformations; +#else + int x_flag_value_profile_transformations; +#define flag_value_profile_transformations global_options.x_flag_value_profile_transformations +#endif +#ifdef GENERATOR_FILE +extern enum vtv_priority flag_vtable_verify; +#else + enum vtv_priority x_flag_vtable_verify; +#define flag_vtable_verify global_options.x_flag_vtable_verify +#endif +#ifdef GENERATOR_FILE +extern int flag_vtv_counts; +#else + int x_flag_vtv_counts; +#define flag_vtv_counts global_options.x_flag_vtv_counts +#endif +#ifdef GENERATOR_FILE +extern int flag_vtv_debug; +#else + int x_flag_vtv_debug; +#define flag_vtv_debug global_options.x_flag_vtv_debug +#endif +#ifdef GENERATOR_FILE +extern int flag_weak; +#else + int x_flag_weak; +#define flag_weak global_options.x_flag_weak +#endif +#ifdef GENERATOR_FILE +extern int flag_web; +#else + int x_flag_web; +#define flag_web global_options.x_flag_web +#endif +#ifdef GENERATOR_FILE +extern int flag_whole_program; +#else + int x_flag_whole_program; +#define flag_whole_program global_options.x_flag_whole_program +#endif +#ifdef GENERATOR_FILE +extern int flag_working_directory; +#else + int x_flag_working_directory; +#define flag_working_directory global_options.x_flag_working_directory +#endif +#ifdef GENERATOR_FILE +extern const char *flag_wpa; +#else + const char *x_flag_wpa; +#define flag_wpa global_options.x_flag_wpa +#endif +#ifdef GENERATOR_FILE +extern int flag_wrapv; +#else + int x_flag_wrapv; +#define flag_wrapv global_options.x_flag_wrapv +#endif +#ifdef GENERATOR_FILE +extern int flag_writable_rel_rdata; +#else + int x_flag_writable_rel_rdata; +#define flag_writable_rel_rdata global_options.x_flag_writable_rel_rdata +#endif +#ifdef GENERATOR_FILE +extern int flag_zero_initialized_in_bss; +#else + int x_flag_zero_initialized_in_bss; +#define flag_zero_initialized_in_bss global_options.x_flag_zero_initialized_in_bss +#endif +#ifdef GENERATOR_FILE +extern int flag_zero_link; +#else + int x_flag_zero_link; +#define flag_zero_link global_options.x_flag_zero_link +#endif +#ifdef GENERATOR_FILE +extern int dwarf_version; +#else + int x_dwarf_version; +#define dwarf_version global_options.x_dwarf_version +#endif +#ifdef GENERATOR_FILE +extern int flag_gen_declaration; +#else + int x_flag_gen_declaration; +#define flag_gen_declaration global_options.x_flag_gen_declaration +#endif +#ifdef GENERATOR_FILE +extern int debug_generate_pub_sections; +#else + int x_debug_generate_pub_sections; +#define debug_generate_pub_sections global_options.x_debug_generate_pub_sections +#endif +#ifdef GENERATOR_FILE +extern int dwarf_record_gcc_switches; +#else + int x_dwarf_record_gcc_switches; +#define dwarf_record_gcc_switches global_options.x_dwarf_record_gcc_switches +#endif +#ifdef GENERATOR_FILE +extern int dwarf_split_debug_info; +#else + int x_dwarf_split_debug_info; +#define dwarf_split_debug_info global_options.x_dwarf_split_debug_info +#endif +#ifdef GENERATOR_FILE +extern int dwarf_strict; +#else + int x_dwarf_strict; +#define dwarf_strict global_options.x_dwarf_strict +#endif +#ifdef GENERATOR_FILE +extern int flag_gtoggle; +#else + int x_flag_gtoggle; +#define flag_gtoggle global_options.x_flag_gtoggle +#endif +#ifdef GENERATOR_FILE +extern const char *imultiarch; +#else + const char *x_imultiarch; +#define imultiarch global_options.x_imultiarch +#endif +#ifdef GENERATOR_FILE +extern const char *plugindir_string; +#else + const char *x_plugindir_string; +#define plugindir_string global_options.x_plugindir_string +#endif +#ifdef GENERATOR_FILE +extern enum calling_abi ix86_abi; +#else + enum calling_abi x_ix86_abi; +#define ix86_abi global_options.x_ix86_abi +#endif +#ifdef GENERATOR_FILE +extern enum pmode ix86_pmode; +#else + enum pmode x_ix86_pmode; +#define ix86_pmode global_options.x_ix86_pmode +#endif +#ifdef GENERATOR_FILE +extern enum ix86_align_data ix86_align_data_type; +#else + enum ix86_align_data x_ix86_align_data_type; +#define ix86_align_data_type global_options.x_ix86_align_data_type +#endif +#ifdef GENERATOR_FILE +extern const char *ix86_arch_string; +#else + const char *x_ix86_arch_string; +#define ix86_arch_string global_options.x_ix86_arch_string +#endif +#ifdef GENERATOR_FILE +extern enum asm_dialect ix86_asm_dialect; +#else + enum asm_dialect x_ix86_asm_dialect; +#define ix86_asm_dialect global_options.x_ix86_asm_dialect +#endif +#ifdef GENERATOR_FILE +extern int ix86_branch_cost; +#else + int x_ix86_branch_cost; +#define ix86_branch_cost global_options.x_ix86_branch_cost +#endif +#ifdef GENERATOR_FILE +extern enum cmodel ix86_cmodel; +#else + enum cmodel x_ix86_cmodel; +#define ix86_cmodel global_options.x_ix86_cmodel +#endif +#ifdef GENERATOR_FILE +extern int flag_dispatch_scheduler; +#else + int x_flag_dispatch_scheduler; +#define flag_dispatch_scheduler global_options.x_flag_dispatch_scheduler +#endif +#ifdef GENERATOR_FILE +extern int ix86_dump_tunes; +#else + int x_ix86_dump_tunes; +#define ix86_dump_tunes global_options.x_ix86_dump_tunes +#endif +#ifdef GENERATOR_FILE +extern int flag_fentry; +#else + int x_flag_fentry; +#define flag_fentry global_options.x_flag_fentry +#endif +#ifdef GENERATOR_FILE +extern int ix86_force_drap; +#else + int x_ix86_force_drap; +#define ix86_force_drap global_options.x_ix86_force_drap +#endif +#ifdef GENERATOR_FILE +extern enum fpmath_unit ix86_fpmath; +#else + enum fpmath_unit x_ix86_fpmath; +#define ix86_fpmath global_options.x_ix86_fpmath +#endif +#ifdef GENERATOR_FILE +extern int ix86_incoming_stack_boundary_arg; +#else + int x_ix86_incoming_stack_boundary_arg; +#define ix86_incoming_stack_boundary_arg global_options.x_ix86_incoming_stack_boundary_arg +#endif +#ifdef GENERATOR_FILE +extern int ix86_section_threshold; +#else + int x_ix86_section_threshold; +#define ix86_section_threshold global_options.x_ix86_section_threshold +#endif +#ifdef GENERATOR_FILE +extern const char *ix86_tune_memcpy_strategy; +#else + const char *x_ix86_tune_memcpy_strategy; +#define ix86_tune_memcpy_strategy global_options.x_ix86_tune_memcpy_strategy +#endif +#ifdef GENERATOR_FILE +extern const char *ix86_tune_memset_strategy; +#else + const char *x_ix86_tune_memset_strategy; +#define ix86_tune_memset_strategy global_options.x_ix86_tune_memset_strategy +#endif +#ifdef GENERATOR_FILE +extern int ix86_tune_no_default; +#else + int x_ix86_tune_no_default; +#define ix86_tune_no_default global_options.x_ix86_tune_no_default +#endif +#ifdef GENERATOR_FILE +extern int TARGET_NOP_FUN_DLLIMPORT; +#else + int x_TARGET_NOP_FUN_DLLIMPORT; +#define TARGET_NOP_FUN_DLLIMPORT global_options.x_TARGET_NOP_FUN_DLLIMPORT +#endif +#ifdef GENERATOR_FILE +extern int flag_nop_mcount; +#else + int x_flag_nop_mcount; +#define flag_nop_mcount global_options.x_flag_nop_mcount +#endif +#ifdef GENERATOR_FILE +extern int use_pe_aligned_common; +#else + int x_use_pe_aligned_common; +#define use_pe_aligned_common global_options.x_use_pe_aligned_common +#endif +#ifdef GENERATOR_FILE +extern int ix86_preferred_stack_boundary_arg; +#else + int x_ix86_preferred_stack_boundary_arg; +#define ix86_preferred_stack_boundary_arg global_options.x_ix86_preferred_stack_boundary_arg +#endif +#ifdef GENERATOR_FILE +extern const char *ix86_recip_name; +#else + const char *x_ix86_recip_name; +#define ix86_recip_name global_options.x_ix86_recip_name +#endif +#ifdef GENERATOR_FILE +extern int flag_record_mcount; +#else + int x_flag_record_mcount; +#define flag_record_mcount global_options.x_flag_record_mcount +#endif +#ifdef GENERATOR_FILE +extern int ix86_regparm; +#else + int x_ix86_regparm; +#define ix86_regparm global_options.x_ix86_regparm +#endif +#ifdef GENERATOR_FILE +extern int flag_skip_rax_setup; +#else + int x_flag_skip_rax_setup; +#define flag_skip_rax_setup global_options.x_flag_skip_rax_setup +#endif +#ifdef GENERATOR_FILE +extern int ix86_sse2avx; +#else + int x_ix86_sse2avx; +#define ix86_sse2avx global_options.x_ix86_sse2avx +#endif +#ifdef GENERATOR_FILE +extern enum stack_protector_guard ix86_stack_protector_guard; +#else + enum stack_protector_guard x_ix86_stack_protector_guard; +#define ix86_stack_protector_guard global_options.x_ix86_stack_protector_guard +#endif +#ifdef GENERATOR_FILE +extern int ix86_force_align_arg_pointer; +#else + int x_ix86_force_align_arg_pointer; +#define ix86_force_align_arg_pointer global_options.x_ix86_force_align_arg_pointer +#endif +#ifdef GENERATOR_FILE +extern enum stringop_alg ix86_stringop_alg; +#else + enum stringop_alg x_ix86_stringop_alg; +#define ix86_stringop_alg global_options.x_ix86_stringop_alg +#endif +#ifdef GENERATOR_FILE +extern enum tls_dialect ix86_tls_dialect; +#else + enum tls_dialect x_ix86_tls_dialect; +#define ix86_tls_dialect global_options.x_ix86_tls_dialect +#endif +#ifdef GENERATOR_FILE +extern const char *ix86_tune_ctrl_string; +#else + const char *x_ix86_tune_ctrl_string; +#define ix86_tune_ctrl_string global_options.x_ix86_tune_ctrl_string +#endif +#ifdef GENERATOR_FILE +extern const char *ix86_tune_string; +#else + const char *x_ix86_tune_string; +#define ix86_tune_string global_options.x_ix86_tune_string +#endif +#ifdef GENERATOR_FILE +extern enum ix86_veclibabi ix86_veclibabi_type; +#else + enum ix86_veclibabi x_ix86_veclibabi_type; +#define ix86_veclibabi_type global_options.x_ix86_veclibabi_type +#endif +#ifdef GENERATOR_FILE +extern const char *asm_file_name; +#else + const char *x_asm_file_name; +#define asm_file_name global_options.x_asm_file_name +#endif +#ifdef GENERATOR_FILE +extern int pass_exit_codes; +#else + int x_pass_exit_codes; +#define pass_exit_codes global_options.x_pass_exit_codes +#endif +#ifdef GENERATOR_FILE +extern int flag_pedantic_errors; +#else + int x_flag_pedantic_errors; +#define flag_pedantic_errors global_options.x_flag_pedantic_errors +#endif +#ifdef GENERATOR_FILE +extern int use_pipes; +#else + int x_use_pipes; +#define use_pipes global_options.x_use_pipes +#endif +#ifdef GENERATOR_FILE +extern const char *print_file_name; +#else + const char *x_print_file_name; +#define print_file_name global_options.x_print_file_name +#endif +#ifdef GENERATOR_FILE +extern int print_multi_directory; +#else + int x_print_multi_directory; +#define print_multi_directory global_options.x_print_multi_directory +#endif +#ifdef GENERATOR_FILE +extern int print_multi_lib; +#else + int x_print_multi_lib; +#define print_multi_lib global_options.x_print_multi_lib +#endif +#ifdef GENERATOR_FILE +extern int print_multi_os_directory; +#else + int x_print_multi_os_directory; +#define print_multi_os_directory global_options.x_print_multi_os_directory +#endif +#ifdef GENERATOR_FILE +extern int print_multiarch; +#else + int x_print_multiarch; +#define print_multiarch global_options.x_print_multiarch +#endif +#ifdef GENERATOR_FILE +extern const char *print_prog_name; +#else + const char *x_print_prog_name; +#define print_prog_name global_options.x_print_prog_name +#endif +#ifdef GENERATOR_FILE +extern int print_search_dirs; +#else + int x_print_search_dirs; +#define print_search_dirs global_options.x_print_search_dirs +#endif +#ifdef GENERATOR_FILE +extern int print_sysroot; +#else + int x_print_sysroot; +#define print_sysroot global_options.x_print_sysroot +#endif +#ifdef GENERATOR_FILE +extern int print_sysroot_headers_suffix; +#else + int x_print_sysroot_headers_suffix; +#define print_sysroot_headers_suffix global_options.x_print_sysroot_headers_suffix +#endif +#ifdef GENERATOR_FILE +extern int quiet_flag; +#else + int x_quiet_flag; +#define quiet_flag global_options.x_quiet_flag +#endif +#ifdef GENERATOR_FILE +extern int report_times; +#else + int x_report_times; +#define report_times global_options.x_report_times +#endif +#ifdef GENERATOR_FILE +extern int flag_undef; +#else + int x_flag_undef; +#define flag_undef global_options.x_flag_undef +#endif +#ifdef GENERATOR_FILE +extern int verbose_flag; +#else + int x_verbose_flag; +#define verbose_flag global_options.x_verbose_flag +#endif +#ifdef GENERATOR_FILE +extern int version_flag; +#else + int x_version_flag; +#define version_flag global_options.x_version_flag +#endif +#ifdef GENERATOR_FILE +extern int inhibit_warnings; +#else + int x_inhibit_warnings; +#define inhibit_warnings global_options.x_inhibit_warnings +#endif +#ifdef GENERATOR_FILE +extern const char *wrapper_string; +#else + const char *x_wrapper_string; +#define wrapper_string global_options.x_wrapper_string +#endif +#ifndef GENERATOR_FILE + int x_VAR_malign_functions_; +#define x_VAR_malign_functions_ do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_malign_jumps_; +#define x_VAR_malign_jumps_ do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_malign_loops_; +#define x_VAR_malign_loops_ do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mconsole; +#define x_VAR_mconsole do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mdll; +#define x_VAR_mdll do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mpc32; +#define x_VAR_mpc32 do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mpc64; +#define x_VAR_mpc64 do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mpc80; +#define x_VAR_mpc80 do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mthreads; +#define x_VAR_mthreads do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_muse_libstdc_wrappers; +#define x_VAR_muse_libstdc_wrappers do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mwin32; +#define x_VAR_mwin32 do_not_use +#endif +#ifndef GENERATOR_FILE + int x_VAR_mwindows; +#define x_VAR_mwindows do_not_use +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_associative_math; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_cx_limited_range; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_finite_math_only; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_errno_math; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_reciprocal_math; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_rounding_math; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_signaling_nans; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_signed_zeros; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_trapping_math; +#endif +#ifndef GENERATOR_FILE + bool frontend_set_flag_unsafe_math_optimizations; +#endif +#ifndef GENERATOR_FILE +}; +extern struct gcc_options global_options; +extern const struct gcc_options global_options_init; +extern struct gcc_options global_options_set; +#define target_flags_explicit global_options_set.x_target_flags +#endif +#endif + +#if !defined(IN_LIBGCC2) && !defined(IN_TARGET_LIBS) && !defined(IN_RTS) + +/* Structure to save/restore optimization and target specific options. */ +struct GTY(()) cl_optimization +{ + int x_align_functions; + int x_align_jumps; + int x_align_labels; + int x_align_loops; + int x_flag_sched_stalled_insns; + int x_flag_sched_stalled_insns_dep; + int x_flag_tree_parallelize_loops; + enum fp_contract_mode x_flag_fp_contract_mode; + enum ira_algorithm x_flag_ira_algorithm; + enum ira_region x_flag_ira_region; + enum vect_cost_model x_flag_simd_cost_model; + enum stack_reuse_level x_flag_stack_reuse; + enum vect_cost_model x_flag_vect_cost_model; + unsigned char x_optimize; + unsigned char x_optimize_size; + unsigned char x_optimize_debug; + signed char x_flag_aggressive_loop_optimizations; + signed char x_flag_associative_math; + signed char x_flag_asynchronous_unwind_tables; + signed char x_flag_auto_inc_dec; + signed char x_flag_branch_on_count_reg; + signed char x_flag_branch_probabilities; + signed char x_flag_branch_target_load_optimize; + signed char x_flag_branch_target_load_optimize2; + signed char x_flag_btr_bb_exclusive; + signed char x_flag_caller_saves; + signed char x_flag_combine_stack_adjustments; + signed char x_flag_compare_elim_after_reload; + signed char x_flag_conserve_stack; + signed char x_flag_cprop_registers; + signed char x_flag_crossjumping; + signed char x_flag_cse_follow_jumps; + signed char x_flag_cx_fortran_rules; + signed char x_flag_cx_limited_range; + signed char x_flag_dce; + signed char x_flag_defer_pop; + signed char x_flag_delayed_branch; + signed char x_flag_delete_dead_exceptions; + signed char x_flag_delete_null_pointer_checks; + signed char x_flag_devirtualize; + signed char x_flag_devirtualize_speculatively; + signed char x_flag_dse; + signed char x_flag_early_inlining; + signed char x_flag_exceptions; + signed char x_flag_expensive_optimizations; + signed char x_flag_finite_math_only; + signed char x_flag_float_store; + signed char x_flag_forward_propagate; + signed char x_flag_no_function_cse; + signed char x_flag_gcse; + signed char x_flag_gcse_after_reload; + signed char x_flag_gcse_las; + signed char x_flag_gcse_lm; + signed char x_flag_gcse_sm; + signed char x_flag_graphite; + signed char x_flag_graphite_identity; + signed char x_flag_guess_branch_prob; + signed char x_flag_hoist_adjacent_loads; + signed char x_flag_if_conversion; + signed char x_flag_if_conversion2; + signed char x_flag_indirect_inlining; + signed char x_flag_no_inline; + signed char x_flag_inline_atomics; + signed char x_flag_inline_functions; + signed char x_flag_inline_functions_called_once; + signed char x_flag_inline_small_functions; + signed char x_flag_ipa_cp; + signed char x_flag_ipa_cp_alignment; + signed char x_flag_ipa_cp_clone; + signed char x_flag_ipa_icf; + signed char x_flag_ipa_icf_functions; + signed char x_flag_ipa_profile; + signed char x_flag_ipa_pta; + signed char x_flag_ipa_pure_const; + signed char x_flag_ipa_ra; + signed char x_flag_ipa_reference; + signed char x_flag_ipa_sra; + signed char x_flag_ira_hoist_pressure; + signed char x_flag_ira_loop_pressure; + signed char x_flag_ira_share_save_slots; + signed char x_flag_ira_share_spill_slots; + signed char x_flag_isolate_erroneous_paths_attribute; + signed char x_flag_isolate_erroneous_paths_dereference; + signed char x_flag_ivopts; + signed char x_flag_jump_tables; + signed char x_flag_lifetime_dse; + signed char x_flag_live_range_shrinkage; + signed char x_flag_loop_block; + signed char x_flag_loop_interchange; + signed char x_flag_loop_optimize_isl; + signed char x_flag_loop_parallelize_all; + signed char x_flag_loop_strip_mine; + signed char x_flag_loop_unroll_jam; + signed char x_flag_lra_remat; + signed char x_flag_errno_math; + signed char x_flag_modulo_sched; + signed char x_flag_modulo_sched_allow_regmoves; + signed char x_flag_move_loop_invariants; + signed char x_flag_non_call_exceptions; + signed char x_flag_nothrow_opt; + signed char x_flag_omit_frame_pointer; + signed char x_flag_opt_info; + signed char x_flag_optimize_sibling_calls; + signed char x_flag_optimize_strlen; + signed char x_flag_pack_struct; + signed char x_flag_partial_inlining; + signed char x_flag_peel_loops; + signed char x_flag_no_peephole; + signed char x_flag_peephole2; + signed char x_flag_predictive_commoning; + signed char x_flag_prefetch_loop_arrays; + signed char x_flag_reciprocal_math; + signed char x_flag_pcc_struct_return; + signed char x_flag_rename_registers; + signed char x_flag_reorder_blocks; + signed char x_flag_reorder_blocks_and_partition; + signed char x_flag_reorder_functions; + signed char x_flag_rerun_cse_after_loop; + signed char x_flag_resched_modulo_sched; + signed char x_flag_rounding_math; + signed char x_flag_rtti; + signed char x_flag_sched_critical_path_heuristic; + signed char x_flag_sched_dep_count_heuristic; + signed char x_flag_sched_group_heuristic; + signed char x_flag_schedule_interblock; + signed char x_flag_sched_last_insn_heuristic; + signed char x_flag_sched_pressure; + signed char x_flag_sched_rank_heuristic; + signed char x_flag_schedule_speculative; + signed char x_flag_sched_spec_insn_heuristic; + signed char x_flag_schedule_speculative_load; + signed char x_flag_schedule_speculative_load_dangerous; + signed char x_flag_sched2_use_superblocks; + signed char x_flag_schedule_fusion; + signed char x_flag_schedule_insns; + signed char x_flag_schedule_insns_after_reload; + signed char x_flag_section_anchors; + signed char x_flag_sel_sched_pipelining; + signed char x_flag_sel_sched_pipelining_outer_loops; + signed char x_flag_sel_sched_reschedule_pipelined; + signed char x_flag_selective_scheduling; + signed char x_flag_selective_scheduling2; + signed char x_flag_setstackexecutable; + signed char x_flag_short_double; + signed char x_flag_short_enums; + signed char x_flag_short_wchar; + signed char x_flag_shrink_wrap; + signed char x_flag_signaling_nans; + signed char x_flag_signed_zeros; + signed char x_flag_single_precision_constant; + signed char x_flag_split_ivs_in_unroller; + signed char x_flag_split_wide_types; + signed char x_flag_ssa_phiopt; + signed char x_flag_stdarg_opt; + signed char x_flag_strict_aliasing; + signed char x_flag_strict_enums; + signed char x_flag_strict_overflow; + signed char x_flag_strict_volatile_bitfields; + signed char x_flag_thread_jumps; + signed char x_flag_threadsafe_statics; + signed char x_flag_tracer; + signed char x_flag_trapping_math; + signed char x_flag_trapv; + signed char x_flag_tree_bit_ccp; + signed char x_flag_tree_builtin_call_dce; + signed char x_flag_tree_ccp; + signed char x_flag_tree_ch; + signed char x_flag_ssa_coalesce_vars; + signed char x_flag_tree_copy_prop; + signed char x_flag_tree_copyrename; + signed char x_flag_tree_cselim; + signed char x_flag_tree_dce; + signed char x_flag_tree_dom; + signed char x_flag_tree_dse; + signed char x_flag_tree_forwprop; + signed char x_flag_tree_fre; + signed char x_flag_tree_loop_distribute_patterns; + signed char x_flag_tree_loop_distribution; + signed char x_flag_tree_loop_if_convert; + signed char x_flag_tree_loop_if_convert_stores; + signed char x_flag_tree_loop_im; + signed char x_flag_tree_loop_ivcanon; + signed char x_flag_tree_loop_optimize; + signed char x_flag_tree_loop_vectorize; + signed char x_flag_tree_live_range_split; + signed char x_flag_tree_partial_pre; + signed char x_flag_tree_phiprop; + signed char x_flag_tree_pre; + signed char x_flag_tree_pta; + signed char x_flag_tree_reassoc; + signed char x_flag_tree_scev_cprop; + signed char x_flag_tree_sink; + signed char x_flag_tree_slp_vectorize; + signed char x_flag_tree_slsr; + signed char x_flag_tree_sra; + signed char x_flag_tree_switch_conversion; + signed char x_flag_tree_tail_merge; + signed char x_flag_tree_ter; + signed char x_flag_tree_vectorize; + signed char x_flag_tree_vrp; + signed char x_flag_unroll_all_loops; + signed char x_flag_unroll_loops; + signed char x_flag_unsafe_loop_optimizations; + signed char x_flag_unsafe_math_optimizations; + signed char x_flag_unswitch_loops; + signed char x_flag_unwind_tables; + signed char x_flag_var_tracking; + signed char x_flag_var_tracking_assignments; + signed char x_flag_var_tracking_assignments_toggle; + signed char x_flag_var_tracking_uninit; + signed char x_flag_variable_expansion_in_unroller; + signed char x_flag_value_profile_transformations; + signed char x_flag_web; + signed char x_flag_wrapv; +}; + +/* Structure to save/restore selected target specific options. */ +struct GTY(()) cl_target_option +{ + HOST_WIDE_INT x_ix86_isa_flags_explicit; + HOST_WIDE_INT x_ix86_target_flags_explicit; + const char *x_ix86_arch_string; + const char *x_ix86_recip_name; + const char *x_ix86_tune_ctrl_string; + const char *x_ix86_tune_memcpy_strategy; + const char *x_ix86_tune_memset_strategy; + const char *x_ix86_tune_string; + HOST_WIDE_INT x_ix86_isa_flags; + enum fpmath_unit x_ix86_fpmath; + enum asm_dialect x_ix86_asm_dialect; + enum calling_abi x_ix86_abi; + enum cmodel x_ix86_cmodel; + enum ix86_veclibabi x_ix86_veclibabi_type; + enum pmode x_ix86_pmode; + enum stack_protector_guard x_ix86_stack_protector_guard; + enum stringop_alg x_ix86_stringop_alg; + enum tls_dialect x_ix86_tls_dialect; + int x_ix86_branch_cost; + int x_ix86_dump_tunes; + int x_ix86_force_align_arg_pointer; + int x_ix86_force_drap; + int x_ix86_incoming_stack_boundary_arg; + int x_ix86_preferred_stack_boundary_arg; + int x_ix86_regparm; + int x_ix86_section_threshold; + int x_ix86_sse2avx; + int x_ix86_tune_no_default; + int x_recip_mask_explicit; + int x_recip_mask; + int x_target_flags; + unsigned char arch; + unsigned char arch_specified; + unsigned char branch_cost; + unsigned char prefetch_sse; + unsigned char schedule; + unsigned char tune; + unsigned char tune_defaulted; +}; + + +/* Save optimization variables into a structure. */ +extern void cl_optimization_save (struct cl_optimization *, struct gcc_options *); + +/* Restore optimization variables from a structure. */ +extern void cl_optimization_restore (struct gcc_options *, struct cl_optimization *); + +/* Print optimization variables from a structure. */ +extern void cl_optimization_print (FILE *, int, struct cl_optimization *); + +/* Print different optimization variables from structures provided as arguments. */ +extern void cl_optimization_print_diff (FILE *, int, cl_optimization *ptr1, cl_optimization *ptr2); + +/* Save selected option variables into a structure. */ +extern void cl_target_option_save (struct cl_target_option *, struct gcc_options *); + +/* Restore selected option variables from a structure. */ +extern void cl_target_option_restore (struct gcc_options *, struct cl_target_option *); + +/* Print target option variables from a structure. */ +extern void cl_target_option_print (FILE *, int, struct cl_target_option *); + +/* Print different target option variables from structures provided as arguments. */ +extern void cl_target_option_print_diff (FILE *, int, cl_target_option *ptr1, cl_target_option *ptr2); + +/* Compare two target option variables from a structure. */ +extern bool cl_target_option_eq (const struct cl_target_option *, const struct cl_target_option *); + +/* Hash option variables from a structure. */ +extern hashval_t cl_target_option_hash (const struct cl_target_option *); + +/* Hash optimization from a structure. */ +extern hashval_t cl_optimization_hash (const struct cl_optimization *); + +/* Anything that includes tm.h, does not necessarily need this. */ +#if !defined(GCC_TM_H) +#include "input.h" /* for location_t */ +bool +common_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + const struct cl_decoded_option *decoded, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +Ada_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +AdaSCIL_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +AdaWhy_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +C_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +CXX_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +Fortran_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +Go_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +Java_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +LTO_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +ObjC_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +bool +ObjCXX_handle_option_auto (struct gcc_options *opts, + struct gcc_options *opts_set, + size_t scode, const char *arg, int value, + unsigned int lang_mask, int kind, + location_t loc, + const struct cl_option_handlers *handlers, + diagnostic_context *dc); +void cpp_handle_option_auto (const struct gcc_options * opts, size_t scode, + struct cpp_options * cpp_opts); +void init_global_opts_from_cpp(struct gcc_options * opts, + const struct cpp_options * cpp_opts); +#endif +#endif + +#define MASK_128BIT_LONG_DOUBLE (1 << 0) +#define OPTION_MASK_CODE16 (HOST_WIDE_INT_1 << 0) +#define OPTION_MASK_ISA_64BIT (HOST_WIDE_INT_1 << 1) +#define OPTION_MASK_ISA_3DNOW (HOST_WIDE_INT_1 << 2) +#define OPTION_MASK_ISA_3DNOW_A (HOST_WIDE_INT_1 << 3) +#define OPTION_MASK_ABI_64 (HOST_WIDE_INT_1 << 4) +#define MASK_80387 (1 << 1) +#define MASK_USE_8BIT_IDIV (1 << 2) +#define OPTION_MASK_ISA_ABM (HOST_WIDE_INT_1 << 5) +#define MASK_ACCUMULATE_OUTGOING_ARGS (1 << 3) +#define OPTION_MASK_ISA_ADX (HOST_WIDE_INT_1 << 6) +#define OPTION_MASK_ISA_AES (HOST_WIDE_INT_1 << 7) +#define MASK_ALIGN_DOUBLE (1 << 4) +#define MASK_NO_ALIGN_STRINGOPS (1 << 5) +#define OPTION_MASK_ISA_AVX (HOST_WIDE_INT_1 << 8) +#define OPTION_MASK_ISA_AVX2 (HOST_WIDE_INT_1 << 9) +#define MASK_AVX256_SPLIT_UNALIGNED_LOAD (1 << 6) +#define MASK_AVX256_SPLIT_UNALIGNED_STORE (1 << 7) +#define OPTION_MASK_ISA_AVX512BW (HOST_WIDE_INT_1 << 10) +#define OPTION_MASK_ISA_AVX512CD (HOST_WIDE_INT_1 << 11) +#define OPTION_MASK_ISA_AVX512DQ (HOST_WIDE_INT_1 << 12) +#define OPTION_MASK_ISA_AVX512ER (HOST_WIDE_INT_1 << 13) +#define OPTION_MASK_ISA_AVX512F (HOST_WIDE_INT_1 << 14) +#define OPTION_MASK_ISA_AVX512IFMA (HOST_WIDE_INT_1 << 15) +#define OPTION_MASK_ISA_AVX512PF (HOST_WIDE_INT_1 << 16) +#define OPTION_MASK_ISA_AVX512VBMI (HOST_WIDE_INT_1 << 17) +#define OPTION_MASK_ISA_AVX512VL (HOST_WIDE_INT_1 << 18) +#define OPTION_MASK_ISA_BMI (HOST_WIDE_INT_1 << 19) +#define OPTION_MASK_ISA_BMI2 (HOST_WIDE_INT_1 << 20) +#define MASK_CLD (1 << 8) +#define OPTION_MASK_ISA_CLFLUSHOPT (HOST_WIDE_INT_1 << 21) +#define OPTION_MASK_ISA_CLWB (HOST_WIDE_INT_1 << 22) +#define OPTION_MASK_ISA_CRC32 (HOST_WIDE_INT_1 << 23) +#define OPTION_MASK_ISA_CX16 (HOST_WIDE_INT_1 << 24) +#define OPTION_MASK_ISA_F16C (HOST_WIDE_INT_1 << 25) +#define MASK_NO_FANCY_MATH_387 (1 << 9) +#define OPTION_MASK_ISA_FMA (HOST_WIDE_INT_1 << 26) +#define OPTION_MASK_ISA_FMA4 (HOST_WIDE_INT_1 << 27) +#define MASK_FLOAT_RETURNS (1 << 10) +#define OPTION_MASK_ISA_FSGSBASE (HOST_WIDE_INT_1 << 28) +#define OPTION_MASK_ISA_FXSR (HOST_WIDE_INT_1 << 29) +#define OPTION_MASK_ISA_HLE (HOST_WIDE_INT_1 << 30) +#define MASK_IEEE_FP (1 << 11) +#define MASK_INLINE_ALL_STRINGOPS (1 << 12) +#define MASK_INLINE_STRINGOPS_DYNAMICALLY (1 << 13) +#define MASK_LONG_DOUBLE_128 (1 << 14) +#define MASK_LONG_DOUBLE_64 (1 << 15) +#define OPTION_MASK_ISA_LWP (HOST_WIDE_INT_1 << 31) +#define OPTION_MASK_ISA_LZCNT (HOST_WIDE_INT_1 << 32) +#define OPTION_MASK_ISA_MMX (HOST_WIDE_INT_1 << 33) +#define OPTION_MASK_ISA_MOVBE (HOST_WIDE_INT_1 << 34) +#define OPTION_MASK_ISA_MPX (HOST_WIDE_INT_1 << 35) +#define MASK_MS_BITFIELD_LAYOUT (1 << 16) +#define OPTION_MASK_ISA_MWAITX (HOST_WIDE_INT_1 << 36) +#define MASK_NO_PUSH_ARGS (1 << 17) +#define MASK_NO_RED_ZONE (1 << 18) +#define OPTION_MASK_ISA_SSE4_1 (HOST_WIDE_INT_1 << 37) +#define MASK_OMIT_LEAF_FRAME_POINTER (1 << 19) +#define OPTION_MASK_ISA_PCLMUL (HOST_WIDE_INT_1 << 38) +#define OPTION_MASK_ISA_PCOMMIT (HOST_WIDE_INT_1 << 39) +#define OPTION_MASK_ISA_POPCNT (HOST_WIDE_INT_1 << 40) +#define MASK_PREFER_AVX128 (1 << 20) +#define OPTION_MASK_ISA_PREFETCHWT1 (HOST_WIDE_INT_1 << 41) +#define OPTION_MASK_ISA_PRFCHW (HOST_WIDE_INT_1 << 42) +#define OPTION_MASK_ISA_RDRND (HOST_WIDE_INT_1 << 43) +#define OPTION_MASK_ISA_RDSEED (HOST_WIDE_INT_1 << 44) +#define MASK_RECIP (1 << 21) +#define MASK_RTD (1 << 22) +#define OPTION_MASK_ISA_RTM (HOST_WIDE_INT_1 << 45) +#define OPTION_MASK_ISA_SAHF (HOST_WIDE_INT_1 << 46) +#define OPTION_MASK_ISA_SHA (HOST_WIDE_INT_1 << 47) +#define OPTION_MASK_ISA_SSE (HOST_WIDE_INT_1 << 48) +#define OPTION_MASK_ISA_SSE2 (HOST_WIDE_INT_1 << 49) +#define OPTION_MASK_ISA_SSE3 (HOST_WIDE_INT_1 << 50) +#define OPTION_MASK_ISA_SSE4_2 (HOST_WIDE_INT_1 << 51) +#define OPTION_MASK_ISA_SSE4A (HOST_WIDE_INT_1 << 52) +#define MASK_SSEREGPARM (1 << 23) +#define OPTION_MASK_ISA_SSSE3 (HOST_WIDE_INT_1 << 53) +#define MASK_STACK_PROBE (1 << 24) +#define OPTION_MASK_ISA_TBM (HOST_WIDE_INT_1 << 54) +#define MASK_TLS_DIRECT_SEG_REFS (1 << 25) +#define MASK_VECT8_RETURNS (1 << 26) +#define MASK_VZEROUPPER (1 << 27) +#define OPTION_MASK_ABI_X32 (HOST_WIDE_INT_1 << 55) +#define OPTION_MASK_ISA_XOP (HOST_WIDE_INT_1 << 56) +#define OPTION_MASK_ISA_XSAVE (HOST_WIDE_INT_1 << 57) +#define OPTION_MASK_ISA_XSAVEC (HOST_WIDE_INT_1 << 58) +#define OPTION_MASK_ISA_XSAVEOPT (HOST_WIDE_INT_1 << 59) +#define OPTION_MASK_ISA_XSAVES (HOST_WIDE_INT_1 << 60) + #if defined(HOST_BITS_PER_WIDE_INT) && 61 >= HOST_BITS_PER_WIDE_INT +#error too many masks for ix86_isa_flags +#endif + +#define TARGET_128BIT_LONG_DOUBLE ((target_flags & MASK_128BIT_LONG_DOUBLE) != 0) +#define TARGET_128BIT_LONG_DOUBLE_P(target_flags) ((target_flags & MASK_128BIT_LONG_DOUBLE) != 0) +#define TARGET_CODE16 ((ix86_isa_flags & OPTION_MASK_CODE16) != 0) +#define TARGET_CODE16_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_CODE16) != 0) +#define TARGET_ISA_64BIT ((ix86_isa_flags & OPTION_MASK_ISA_64BIT) != 0) +#define TARGET_ISA_64BIT_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_64BIT) != 0) +#define TARGET_ISA_3DNOW ((ix86_isa_flags & OPTION_MASK_ISA_3DNOW) != 0) +#define TARGET_ISA_3DNOW_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_3DNOW) != 0) +#define TARGET_ISA_3DNOW_A ((ix86_isa_flags & OPTION_MASK_ISA_3DNOW_A) != 0) +#define TARGET_ISA_3DNOW_A_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_3DNOW_A) != 0) +#define TARGET_ABI_64 ((ix86_isa_flags & OPTION_MASK_ABI_64) != 0) +#define TARGET_ABI_64_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ABI_64) != 0) +#define TARGET_80387 ((target_flags & MASK_80387) != 0) +#define TARGET_80387_P(target_flags) ((target_flags & MASK_80387) != 0) +#define TARGET_USE_8BIT_IDIV ((target_flags & MASK_USE_8BIT_IDIV) != 0) +#define TARGET_USE_8BIT_IDIV_P(target_flags) ((target_flags & MASK_USE_8BIT_IDIV) != 0) +#define TARGET_ISA_ABM ((ix86_isa_flags & OPTION_MASK_ISA_ABM) != 0) +#define TARGET_ISA_ABM_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_ABM) != 0) +#define TARGET_ACCUMULATE_OUTGOING_ARGS ((target_flags & MASK_ACCUMULATE_OUTGOING_ARGS) != 0) +#define TARGET_ACCUMULATE_OUTGOING_ARGS_P(target_flags) ((target_flags & MASK_ACCUMULATE_OUTGOING_ARGS) != 0) +#define TARGET_ISA_ADX ((ix86_isa_flags & OPTION_MASK_ISA_ADX) != 0) +#define TARGET_ISA_ADX_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_ADX) != 0) +#define TARGET_ISA_AES ((ix86_isa_flags & OPTION_MASK_ISA_AES) != 0) +#define TARGET_ISA_AES_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AES) != 0) +#define TARGET_ALIGN_DOUBLE ((target_flags & MASK_ALIGN_DOUBLE) != 0) +#define TARGET_ALIGN_DOUBLE_P(target_flags) ((target_flags & MASK_ALIGN_DOUBLE) != 0) +#define TARGET_NO_ALIGN_STRINGOPS ((target_flags & MASK_NO_ALIGN_STRINGOPS) != 0) +#define TARGET_NO_ALIGN_STRINGOPS_P(target_flags) ((target_flags & MASK_NO_ALIGN_STRINGOPS) != 0) +#define TARGET_ISA_AVX ((ix86_isa_flags & OPTION_MASK_ISA_AVX) != 0) +#define TARGET_ISA_AVX_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX) != 0) +#define TARGET_ISA_AVX2 ((ix86_isa_flags & OPTION_MASK_ISA_AVX2) != 0) +#define TARGET_ISA_AVX2_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX2) != 0) +#define TARGET_AVX256_SPLIT_UNALIGNED_LOAD ((target_flags & MASK_AVX256_SPLIT_UNALIGNED_LOAD) != 0) +#define TARGET_AVX256_SPLIT_UNALIGNED_LOAD_P(target_flags) ((target_flags & MASK_AVX256_SPLIT_UNALIGNED_LOAD) != 0) +#define TARGET_AVX256_SPLIT_UNALIGNED_STORE ((target_flags & MASK_AVX256_SPLIT_UNALIGNED_STORE) != 0) +#define TARGET_AVX256_SPLIT_UNALIGNED_STORE_P(target_flags) ((target_flags & MASK_AVX256_SPLIT_UNALIGNED_STORE) != 0) +#define TARGET_ISA_AVX512BW ((ix86_isa_flags & OPTION_MASK_ISA_AVX512BW) != 0) +#define TARGET_ISA_AVX512BW_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512BW) != 0) +#define TARGET_ISA_AVX512CD ((ix86_isa_flags & OPTION_MASK_ISA_AVX512CD) != 0) +#define TARGET_ISA_AVX512CD_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512CD) != 0) +#define TARGET_ISA_AVX512DQ ((ix86_isa_flags & OPTION_MASK_ISA_AVX512DQ) != 0) +#define TARGET_ISA_AVX512DQ_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512DQ) != 0) +#define TARGET_ISA_AVX512ER ((ix86_isa_flags & OPTION_MASK_ISA_AVX512ER) != 0) +#define TARGET_ISA_AVX512ER_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512ER) != 0) +#define TARGET_ISA_AVX512F ((ix86_isa_flags & OPTION_MASK_ISA_AVX512F) != 0) +#define TARGET_ISA_AVX512F_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512F) != 0) +#define TARGET_ISA_AVX512IFMA ((ix86_isa_flags & OPTION_MASK_ISA_AVX512IFMA) != 0) +#define TARGET_ISA_AVX512IFMA_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512IFMA) != 0) +#define TARGET_ISA_AVX512PF ((ix86_isa_flags & OPTION_MASK_ISA_AVX512PF) != 0) +#define TARGET_ISA_AVX512PF_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512PF) != 0) +#define TARGET_ISA_AVX512VBMI ((ix86_isa_flags & OPTION_MASK_ISA_AVX512VBMI) != 0) +#define TARGET_ISA_AVX512VBMI_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512VBMI) != 0) +#define TARGET_ISA_AVX512VL ((ix86_isa_flags & OPTION_MASK_ISA_AVX512VL) != 0) +#define TARGET_ISA_AVX512VL_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_AVX512VL) != 0) +#define TARGET_ISA_BMI ((ix86_isa_flags & OPTION_MASK_ISA_BMI) != 0) +#define TARGET_ISA_BMI_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_BMI) != 0) +#define TARGET_ISA_BMI2 ((ix86_isa_flags & OPTION_MASK_ISA_BMI2) != 0) +#define TARGET_ISA_BMI2_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_BMI2) != 0) +#define TARGET_CLD ((target_flags & MASK_CLD) != 0) +#define TARGET_CLD_P(target_flags) ((target_flags & MASK_CLD) != 0) +#define TARGET_ISA_CLFLUSHOPT ((ix86_isa_flags & OPTION_MASK_ISA_CLFLUSHOPT) != 0) +#define TARGET_ISA_CLFLUSHOPT_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_CLFLUSHOPT) != 0) +#define TARGET_ISA_CLWB ((ix86_isa_flags & OPTION_MASK_ISA_CLWB) != 0) +#define TARGET_ISA_CLWB_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_CLWB) != 0) +#define TARGET_ISA_CRC32 ((ix86_isa_flags & OPTION_MASK_ISA_CRC32) != 0) +#define TARGET_ISA_CRC32_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_CRC32) != 0) +#define TARGET_ISA_CX16 ((ix86_isa_flags & OPTION_MASK_ISA_CX16) != 0) +#define TARGET_ISA_CX16_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_CX16) != 0) +#define TARGET_ISA_F16C ((ix86_isa_flags & OPTION_MASK_ISA_F16C) != 0) +#define TARGET_ISA_F16C_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_F16C) != 0) +#define TARGET_NO_FANCY_MATH_387 ((target_flags & MASK_NO_FANCY_MATH_387) != 0) +#define TARGET_NO_FANCY_MATH_387_P(target_flags) ((target_flags & MASK_NO_FANCY_MATH_387) != 0) +#define TARGET_ISA_FMA ((ix86_isa_flags & OPTION_MASK_ISA_FMA) != 0) +#define TARGET_ISA_FMA_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_FMA) != 0) +#define TARGET_ISA_FMA4 ((ix86_isa_flags & OPTION_MASK_ISA_FMA4) != 0) +#define TARGET_ISA_FMA4_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_FMA4) != 0) +#define TARGET_FLOAT_RETURNS ((target_flags & MASK_FLOAT_RETURNS) != 0) +#define TARGET_FLOAT_RETURNS_P(target_flags) ((target_flags & MASK_FLOAT_RETURNS) != 0) +#define TARGET_ISA_FSGSBASE ((ix86_isa_flags & OPTION_MASK_ISA_FSGSBASE) != 0) +#define TARGET_ISA_FSGSBASE_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_FSGSBASE) != 0) +#define TARGET_ISA_FXSR ((ix86_isa_flags & OPTION_MASK_ISA_FXSR) != 0) +#define TARGET_ISA_FXSR_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_FXSR) != 0) +#define TARGET_ISA_HLE ((ix86_isa_flags & OPTION_MASK_ISA_HLE) != 0) +#define TARGET_ISA_HLE_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_HLE) != 0) +#define TARGET_IEEE_FP ((target_flags & MASK_IEEE_FP) != 0) +#define TARGET_IEEE_FP_P(target_flags) ((target_flags & MASK_IEEE_FP) != 0) +#define TARGET_INLINE_ALL_STRINGOPS ((target_flags & MASK_INLINE_ALL_STRINGOPS) != 0) +#define TARGET_INLINE_ALL_STRINGOPS_P(target_flags) ((target_flags & MASK_INLINE_ALL_STRINGOPS) != 0) +#define TARGET_INLINE_STRINGOPS_DYNAMICALLY ((target_flags & MASK_INLINE_STRINGOPS_DYNAMICALLY) != 0) +#define TARGET_INLINE_STRINGOPS_DYNAMICALLY_P(target_flags) ((target_flags & MASK_INLINE_STRINGOPS_DYNAMICALLY) != 0) +#define TARGET_LONG_DOUBLE_128 ((target_flags & MASK_LONG_DOUBLE_128) != 0) +#define TARGET_LONG_DOUBLE_128_P(target_flags) ((target_flags & MASK_LONG_DOUBLE_128) != 0) +#define TARGET_LONG_DOUBLE_64 ((target_flags & MASK_LONG_DOUBLE_64) != 0) +#define TARGET_LONG_DOUBLE_64_P(target_flags) ((target_flags & MASK_LONG_DOUBLE_64) != 0) +#define TARGET_ISA_LWP ((ix86_isa_flags & OPTION_MASK_ISA_LWP) != 0) +#define TARGET_ISA_LWP_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_LWP) != 0) +#define TARGET_ISA_LZCNT ((ix86_isa_flags & OPTION_MASK_ISA_LZCNT) != 0) +#define TARGET_ISA_LZCNT_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_LZCNT) != 0) +#define TARGET_ISA_MMX ((ix86_isa_flags & OPTION_MASK_ISA_MMX) != 0) +#define TARGET_ISA_MMX_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_MMX) != 0) +#define TARGET_ISA_MOVBE ((ix86_isa_flags & OPTION_MASK_ISA_MOVBE) != 0) +#define TARGET_ISA_MOVBE_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_MOVBE) != 0) +#define TARGET_ISA_MPX ((ix86_isa_flags & OPTION_MASK_ISA_MPX) != 0) +#define TARGET_ISA_MPX_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_MPX) != 0) +#define TARGET_MS_BITFIELD_LAYOUT ((target_flags & MASK_MS_BITFIELD_LAYOUT) != 0) +#define TARGET_MS_BITFIELD_LAYOUT_P(target_flags) ((target_flags & MASK_MS_BITFIELD_LAYOUT) != 0) +#define TARGET_ISA_MWAITX ((ix86_isa_flags & OPTION_MASK_ISA_MWAITX) != 0) +#define TARGET_ISA_MWAITX_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_MWAITX) != 0) +#define TARGET_NO_PUSH_ARGS ((target_flags & MASK_NO_PUSH_ARGS) != 0) +#define TARGET_NO_PUSH_ARGS_P(target_flags) ((target_flags & MASK_NO_PUSH_ARGS) != 0) +#define TARGET_NO_RED_ZONE ((target_flags & MASK_NO_RED_ZONE) != 0) +#define TARGET_NO_RED_ZONE_P(target_flags) ((target_flags & MASK_NO_RED_ZONE) != 0) +#define TARGET_ISA_SSE4_1 ((ix86_isa_flags & OPTION_MASK_ISA_SSE4_1) != 0) +#define TARGET_ISA_SSE4_1_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSE4_1) != 0) +#define TARGET_OMIT_LEAF_FRAME_POINTER ((target_flags & MASK_OMIT_LEAF_FRAME_POINTER) != 0) +#define TARGET_OMIT_LEAF_FRAME_POINTER_P(target_flags) ((target_flags & MASK_OMIT_LEAF_FRAME_POINTER) != 0) +#define TARGET_ISA_PCLMUL ((ix86_isa_flags & OPTION_MASK_ISA_PCLMUL) != 0) +#define TARGET_ISA_PCLMUL_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_PCLMUL) != 0) +#define TARGET_ISA_PCOMMIT ((ix86_isa_flags & OPTION_MASK_ISA_PCOMMIT) != 0) +#define TARGET_ISA_PCOMMIT_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_PCOMMIT) != 0) +#define TARGET_ISA_POPCNT ((ix86_isa_flags & OPTION_MASK_ISA_POPCNT) != 0) +#define TARGET_ISA_POPCNT_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_POPCNT) != 0) +#define TARGET_PREFER_AVX128 ((target_flags & MASK_PREFER_AVX128) != 0) +#define TARGET_PREFER_AVX128_P(target_flags) ((target_flags & MASK_PREFER_AVX128) != 0) +#define TARGET_ISA_PREFETCHWT1 ((ix86_isa_flags & OPTION_MASK_ISA_PREFETCHWT1) != 0) +#define TARGET_ISA_PREFETCHWT1_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_PREFETCHWT1) != 0) +#define TARGET_ISA_PRFCHW ((ix86_isa_flags & OPTION_MASK_ISA_PRFCHW) != 0) +#define TARGET_ISA_PRFCHW_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_PRFCHW) != 0) +#define TARGET_ISA_RDRND ((ix86_isa_flags & OPTION_MASK_ISA_RDRND) != 0) +#define TARGET_ISA_RDRND_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_RDRND) != 0) +#define TARGET_ISA_RDSEED ((ix86_isa_flags & OPTION_MASK_ISA_RDSEED) != 0) +#define TARGET_ISA_RDSEED_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_RDSEED) != 0) +#define TARGET_RECIP ((target_flags & MASK_RECIP) != 0) +#define TARGET_RECIP_P(target_flags) ((target_flags & MASK_RECIP) != 0) +#define TARGET_RTD ((target_flags & MASK_RTD) != 0) +#define TARGET_RTD_P(target_flags) ((target_flags & MASK_RTD) != 0) +#define TARGET_ISA_RTM ((ix86_isa_flags & OPTION_MASK_ISA_RTM) != 0) +#define TARGET_ISA_RTM_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_RTM) != 0) +#define TARGET_ISA_SAHF ((ix86_isa_flags & OPTION_MASK_ISA_SAHF) != 0) +#define TARGET_ISA_SAHF_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SAHF) != 0) +#define TARGET_ISA_SHA ((ix86_isa_flags & OPTION_MASK_ISA_SHA) != 0) +#define TARGET_ISA_SHA_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SHA) != 0) +#define TARGET_ISA_SSE ((ix86_isa_flags & OPTION_MASK_ISA_SSE) != 0) +#define TARGET_ISA_SSE_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSE) != 0) +#define TARGET_ISA_SSE2 ((ix86_isa_flags & OPTION_MASK_ISA_SSE2) != 0) +#define TARGET_ISA_SSE2_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSE2) != 0) +#define TARGET_ISA_SSE3 ((ix86_isa_flags & OPTION_MASK_ISA_SSE3) != 0) +#define TARGET_ISA_SSE3_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSE3) != 0) +#define TARGET_ISA_SSE4_2 ((ix86_isa_flags & OPTION_MASK_ISA_SSE4_2) != 0) +#define TARGET_ISA_SSE4_2_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSE4_2) != 0) +#define TARGET_ISA_SSE4A ((ix86_isa_flags & OPTION_MASK_ISA_SSE4A) != 0) +#define TARGET_ISA_SSE4A_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSE4A) != 0) +#define TARGET_SSEREGPARM ((target_flags & MASK_SSEREGPARM) != 0) +#define TARGET_SSEREGPARM_P(target_flags) ((target_flags & MASK_SSEREGPARM) != 0) +#define TARGET_ISA_SSSE3 ((ix86_isa_flags & OPTION_MASK_ISA_SSSE3) != 0) +#define TARGET_ISA_SSSE3_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_SSSE3) != 0) +#define TARGET_STACK_PROBE ((target_flags & MASK_STACK_PROBE) != 0) +#define TARGET_STACK_PROBE_P(target_flags) ((target_flags & MASK_STACK_PROBE) != 0) +#define TARGET_ISA_TBM ((ix86_isa_flags & OPTION_MASK_ISA_TBM) != 0) +#define TARGET_ISA_TBM_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_TBM) != 0) +#define TARGET_TLS_DIRECT_SEG_REFS ((target_flags & MASK_TLS_DIRECT_SEG_REFS) != 0) +#define TARGET_TLS_DIRECT_SEG_REFS_P(target_flags) ((target_flags & MASK_TLS_DIRECT_SEG_REFS) != 0) +#define TARGET_VECT8_RETURNS ((target_flags & MASK_VECT8_RETURNS) != 0) +#define TARGET_VECT8_RETURNS_P(target_flags) ((target_flags & MASK_VECT8_RETURNS) != 0) +#define TARGET_VZEROUPPER ((target_flags & MASK_VZEROUPPER) != 0) +#define TARGET_VZEROUPPER_P(target_flags) ((target_flags & MASK_VZEROUPPER) != 0) +#define TARGET_ABI_X32 ((ix86_isa_flags & OPTION_MASK_ABI_X32) != 0) +#define TARGET_ABI_X32_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ABI_X32) != 0) +#define TARGET_ISA_XOP ((ix86_isa_flags & OPTION_MASK_ISA_XOP) != 0) +#define TARGET_ISA_XOP_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_XOP) != 0) +#define TARGET_ISA_XSAVE ((ix86_isa_flags & OPTION_MASK_ISA_XSAVE) != 0) +#define TARGET_ISA_XSAVE_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_XSAVE) != 0) +#define TARGET_ISA_XSAVEC ((ix86_isa_flags & OPTION_MASK_ISA_XSAVEC) != 0) +#define TARGET_ISA_XSAVEC_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_XSAVEC) != 0) +#define TARGET_ISA_XSAVEOPT ((ix86_isa_flags & OPTION_MASK_ISA_XSAVEOPT) != 0) +#define TARGET_ISA_XSAVEOPT_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_XSAVEOPT) != 0) +#define TARGET_ISA_XSAVES ((ix86_isa_flags & OPTION_MASK_ISA_XSAVES) != 0) +#define TARGET_ISA_XSAVES_P(ix86_isa_flags) ((ix86_isa_flags & OPTION_MASK_ISA_XSAVES) != 0) + +#define TARGET_ALIGN_STRINGOPS ((target_flags & MASK_NO_ALIGN_STRINGOPS) == 0) +#define TARGET_USE_FANCY_MATH_387 ((target_flags & MASK_NO_FANCY_MATH_387) == 0) +#define TARGET_PUSH_ARGS ((target_flags & MASK_NO_PUSH_ARGS) == 0) +#define TARGET_RED_ZONE ((target_flags & MASK_NO_RED_ZONE) == 0) + +#define CL_Ada (1U << 0) +#define CL_AdaSCIL (1U << 1) +#define CL_AdaWhy (1U << 2) +#define CL_C (1U << 3) +#define CL_CXX (1U << 4) +#define CL_Fortran (1U << 5) +#define CL_Go (1U << 6) +#define CL_Java (1U << 7) +#define CL_LTO (1U << 8) +#define CL_ObjC (1U << 9) +#define CL_ObjCXX (1U << 10) +#define CL_LANG_ALL ((1U << 11) - 1) + +enum opt_code +{ + OPT____ = 0, /* -### */ + /* OPT__CLASSPATH = 1, */ /* --CLASSPATH */ + /* OPT__all_warnings = 2, */ /* --all-warnings */ + /* OPT__ansi = 3, */ /* --ansi */ + /* OPT__assemble = 4, */ /* --assemble */ + /* OPT__assert = 5, */ /* --assert */ + /* OPT__assert_ = 6, */ /* --assert= */ + /* OPT__bootclasspath = 7, */ /* --bootclasspath */ + /* OPT__classpath = 8, */ /* --classpath */ + /* OPT__comments = 9, */ /* --comments */ + /* OPT__comments_in_macros = 10, */ /* --comments-in-macros */ + /* OPT__compile = 11, */ /* --compile */ + /* OPT__coverage = 12, */ /* --coverage */ + /* OPT__debug = 13, */ /* --debug */ + /* OPT__define_macro = 14, */ /* --define-macro */ + /* OPT__define_macro_ = 15, */ /* --define-macro= */ + /* OPT__dependencies = 16, */ /* --dependencies */ + /* OPT__dump = 17, */ /* --dump */ + /* OPT__dump_ = 18, */ /* --dump= */ + /* OPT__dumpbase = 19, */ /* --dumpbase */ + /* OPT__dumpdir = 20, */ /* --dumpdir */ + /* OPT__encoding = 21, */ /* --encoding */ + /* OPT__entry = 22, */ /* --entry */ + /* OPT__entry_ = 23, */ /* --entry= */ + /* OPT__extdirs = 24, */ /* --extdirs */ + /* OPT__extra_warnings = 25, */ /* --extra-warnings */ + /* OPT__for_assembler = 26, */ /* --for-assembler */ + /* OPT__for_assembler_ = 27, */ /* --for-assembler= */ + /* OPT__for_linker = 28, */ /* --for-linker */ + /* OPT__for_linker_ = 29, */ /* --for-linker= */ + /* OPT__force_link = 30, */ /* --force-link */ + /* OPT__force_link_ = 31, */ /* --force-link= */ + OPT__help = 32, /* --help */ + OPT__help_ = 33, /* --help= */ + /* OPT__imacros = 34, */ /* --imacros */ + /* OPT__imacros_ = 35, */ /* --imacros= */ + /* OPT__include = 36, */ /* --include */ + /* OPT__include_barrier = 37, */ /* --include-barrier */ + /* OPT__include_directory = 38, */ /* --include-directory */ + /* OPT__include_directory_after = 39, */ /* --include-directory-after */ + /* OPT__include_directory_after_ = 40, */ /* --include-directory-after= */ + /* OPT__include_directory_ = 41, */ /* --include-directory= */ + /* OPT__include_prefix = 42, */ /* --include-prefix */ + /* OPT__include_prefix_ = 43, */ /* --include-prefix= */ + /* OPT__include_with_prefix = 44, */ /* --include-with-prefix */ + /* OPT__include_with_prefix_after = 45, */ /* --include-with-prefix-after */ + /* OPT__include_with_prefix_after_ = 46, *//* --include-with-prefix-after= */ + /* OPT__include_with_prefix_before = 47, *//* --include-with-prefix-before */ + /* OPT__include_with_prefix_before_ = 48, *//* --include-with-prefix-before= */ + /* OPT__include_with_prefix_ = 49, */ /* --include-with-prefix= */ + /* OPT__include_ = 50, */ /* --include= */ + /* OPT__language = 51, */ /* --language */ + /* OPT__language_ = 52, */ /* --language= */ + /* OPT__library_directory = 53, */ /* --library-directory */ + /* OPT__library_directory_ = 54, */ /* --library-directory= */ + /* OPT__no_canonical_prefixes = 55, */ /* --no-canonical-prefixes */ + /* OPT__no_integrated_cpp = 56, */ /* --no-integrated-cpp */ + /* OPT__no_line_commands = 57, */ /* --no-line-commands */ + /* OPT__no_standard_includes = 58, */ /* --no-standard-includes */ + /* OPT__no_standard_libraries = 59, */ /* --no-standard-libraries */ + OPT__no_sysroot_suffix = 60, /* --no-sysroot-suffix */ + /* OPT__no_warnings = 61, */ /* --no-warnings */ + /* OPT__optimize = 62, */ /* --optimize */ + /* OPT__output = 63, */ /* --output */ + /* OPT__output_class_directory = 64, */ /* --output-class-directory */ + /* OPT__output_class_directory_ = 65, */ /* --output-class-directory= */ + OPT__output_pch_ = 66, /* --output-pch= */ + /* OPT__output_ = 67, */ /* --output= */ + OPT__param = 68, /* --param */ + /* OPT__param_ = 69, */ /* --param= */ + /* OPT__pass_exit_codes = 70, */ /* --pass-exit-codes */ + /* OPT__pedantic = 71, */ /* --pedantic */ + /* OPT__pedantic_errors = 72, */ /* --pedantic-errors */ + /* OPT__pie = 73, */ /* --pie */ + /* OPT__pipe = 74, */ /* --pipe */ + /* OPT__prefix = 75, */ /* --prefix */ + /* OPT__prefix_ = 76, */ /* --prefix= */ + /* OPT__preprocess = 77, */ /* --preprocess */ + /* OPT__print_file_name = 78, */ /* --print-file-name */ + /* OPT__print_file_name_ = 79, */ /* --print-file-name= */ + /* OPT__print_libgcc_file_name = 80, */ /* --print-libgcc-file-name */ + /* OPT__print_missing_file_dependencies = 81, *//* --print-missing-file-dependencies */ + /* OPT__print_multi_directory = 82, */ /* --print-multi-directory */ + /* OPT__print_multi_lib = 83, */ /* --print-multi-lib */ + /* OPT__print_multi_os_directory = 84, */ /* --print-multi-os-directory */ + /* OPT__print_multiarch = 85, */ /* --print-multiarch */ + /* OPT__print_prog_name = 86, */ /* --print-prog-name */ + /* OPT__print_prog_name_ = 87, */ /* --print-prog-name= */ + /* OPT__print_search_dirs = 88, */ /* --print-search-dirs */ + /* OPT__print_sysroot = 89, */ /* --print-sysroot */ + /* OPT__print_sysroot_headers_suffix = 90, *//* --print-sysroot-headers-suffix */ + /* OPT__profile = 91, */ /* --profile */ + /* OPT__resource = 92, */ /* --resource */ + /* OPT__resource_ = 93, */ /* --resource= */ + /* OPT__save_temps = 94, */ /* --save-temps */ + /* OPT__shared = 95, */ /* --shared */ + /* OPT__specs = 96, */ /* --specs */ + /* OPT__specs_ = 97, */ /* --specs= */ + /* OPT__static = 98, */ /* --static */ + /* OPT__symbolic = 99, */ /* --symbolic */ + /* OPT__sysroot = 100, */ /* --sysroot */ + OPT__sysroot_ = 101, /* --sysroot= */ + OPT__target_help = 102, /* --target-help */ + /* OPT__time = 103, */ /* --time */ + /* OPT__trace_includes = 104, */ /* --trace-includes */ + /* OPT__traditional = 105, */ /* --traditional */ + /* OPT__traditional_cpp = 106, */ /* --traditional-cpp */ + /* OPT__trigraphs = 107, */ /* --trigraphs */ + /* OPT__undefine_macro = 108, */ /* --undefine-macro */ + /* OPT__undefine_macro_ = 109, */ /* --undefine-macro= */ + /* OPT__user_dependencies = 110, */ /* --user-dependencies */ + /* OPT__verbose = 111, */ /* --verbose */ + OPT__version = 112, /* --version */ + /* OPT__write_dependencies = 113, */ /* --write-dependencies */ + /* OPT__write_user_dependencies = 114, */ /* --write-user-dependencies */ + OPT_A = 115, /* -A */ + OPT_B = 116, /* -B */ + OPT_C = 117, /* -C */ + OPT_CC = 118, /* -CC */ + /* OPT_CLASSPATH = 119, */ /* -CLASSPATH */ + OPT_D = 120, /* -D */ + OPT_E = 121, /* -E */ + OPT_F = 122, /* -F */ + OPT_H = 123, /* -H */ + OPT_I = 124, /* -I */ + OPT_J = 125, /* -J */ + OPT_L = 126, /* -L */ + OPT_M = 127, /* -M */ + OPT_MD = 128, /* -MD */ + OPT_MD_ = 129, /* -MD_ */ + OPT_MF = 130, /* -MF */ + OPT_MG = 131, /* -MG */ + OPT_MM = 132, /* -MM */ + OPT_MMD = 133, /* -MMD */ + OPT_MMD_ = 134, /* -MMD_ */ + OPT_MP = 135, /* -MP */ + OPT_MQ = 136, /* -MQ */ + OPT_MT = 137, /* -MT */ + OPT_N = 138, /* -N */ + OPT_O = 139, /* -O */ + OPT_Ofast = 140, /* -Ofast */ + OPT_Og = 141, /* -Og */ + OPT_Os = 142, /* -Os */ + OPT_P = 143, /* -P */ + OPT_Q = 144, /* -Q */ + OPT_Qn = 145, /* -Qn */ + OPT_Qy = 146, /* -Qy */ + OPT_R = 147, /* -R */ + OPT_S = 148, /* -S */ + OPT_T = 149, /* -T */ + OPT_Tbss = 150, /* -Tbss */ + OPT_Tbss_ = 151, /* -Tbss= */ + OPT_Tdata = 152, /* -Tdata */ + OPT_Tdata_ = 153, /* -Tdata= */ + OPT_Ttext = 154, /* -Ttext */ + OPT_Ttext_ = 155, /* -Ttext= */ + OPT_U = 156, /* -U */ + /* OPT_W = 157, */ /* -W */ + OPT_Wa_ = 158, /* -Wa, */ + OPT_Wabi = 159, /* -Wabi */ + OPT_Wabi_tag = 160, /* -Wabi-tag */ + OPT_Wabi_ = 161, /* -Wabi= */ + OPT_Waddress = 162, /* -Waddress */ + OPT_Waggregate_return = 163, /* -Waggregate-return */ + OPT_Waggressive_loop_optimizations = 164, /* -Waggressive-loop-optimizations */ + OPT_Waliasing = 165, /* -Waliasing */ + OPT_Walign_commons = 166, /* -Walign-commons */ + OPT_Wall = 167, /* -Wall */ + OPT_Wall_deprecation = 168, /* -Wall-deprecation */ + OPT_Wall_javadoc = 169, /* -Wall-javadoc */ + OPT_Wampersand = 170, /* -Wampersand */ + OPT_Warray_bounds = 171, /* -Warray-bounds */ + OPT_Warray_bounds_ = 172, /* -Warray-bounds= */ + OPT_Warray_temporaries = 173, /* -Warray-temporaries */ + OPT_Wassert_identifier = 174, /* -Wassert-identifier */ + OPT_Wassign_intercept = 175, /* -Wassign-intercept */ + OPT_Wattributes = 176, /* -Wattributes */ + OPT_Wbad_function_cast = 177, /* -Wbad-function-cast */ + OPT_Wbool_compare = 178, /* -Wbool-compare */ + OPT_Wboxing = 179, /* -Wboxing */ + OPT_Wbuiltin_macro_redefined = 180, /* -Wbuiltin-macro-redefined */ + OPT_Wc___compat = 181, /* -Wc++-compat */ + OPT_Wc__0x_compat = 182, /* -Wc++0x-compat */ + /* OPT_Wc__11_compat = 183, */ /* -Wc++11-compat */ + OPT_Wc__14_compat = 184, /* -Wc++14-compat */ + OPT_Wc_binding_type = 185, /* -Wc-binding-type */ + OPT_Wc90_c99_compat = 186, /* -Wc90-c99-compat */ + OPT_Wc99_c11_compat = 187, /* -Wc99-c11-compat */ + OPT_Wcast_align = 188, /* -Wcast-align */ + OPT_Wcast_qual = 189, /* -Wcast-qual */ + OPT_Wchar_concat = 190, /* -Wchar-concat */ + OPT_Wchar_subscripts = 191, /* -Wchar-subscripts */ + OPT_Wcharacter_truncation = 192, /* -Wcharacter-truncation */ + OPT_Wchkp = 193, /* -Wchkp */ + OPT_Wclobbered = 194, /* -Wclobbered */ + OPT_Wcomment = 195, /* -Wcomment */ + /* OPT_Wcomments = 196, */ /* -Wcomments */ + OPT_Wcompare_reals = 197, /* -Wcompare-reals */ + OPT_Wcondition_assign = 198, /* -Wcondition-assign */ + OPT_Wconditionally_supported = 199, /* -Wconditionally-supported */ + OPT_Wconstructor_name = 200, /* -Wconstructor-name */ + OPT_Wconversion = 201, /* -Wconversion */ + OPT_Wconversion_extra = 202, /* -Wconversion-extra */ + OPT_Wconversion_null = 203, /* -Wconversion-null */ + OPT_Wcoverage_mismatch = 204, /* -Wcoverage-mismatch */ + OPT_Wcpp = 205, /* -Wcpp */ + OPT_Wctor_dtor_privacy = 206, /* -Wctor-dtor-privacy */ + OPT_Wdate_time = 207, /* -Wdate-time */ + OPT_Wdeclaration_after_statement = 208, /* -Wdeclaration-after-statement */ + OPT_Wdelete_incomplete = 209, /* -Wdelete-incomplete */ + OPT_Wdelete_non_virtual_dtor = 210, /* -Wdelete-non-virtual-dtor */ + OPT_Wdep_ann = 211, /* -Wdep-ann */ + OPT_Wdeprecated = 212, /* -Wdeprecated */ + OPT_Wdeprecated_declarations = 213, /* -Wdeprecated-declarations */ + OPT_Wdesignated_init = 214, /* -Wdesignated-init */ + OPT_Wdisabled_optimization = 215, /* -Wdisabled-optimization */ + OPT_Wdiscarded_array_qualifiers = 216, /* -Wdiscarded-array-qualifiers */ + OPT_Wdiscarded_qualifiers = 217, /* -Wdiscarded-qualifiers */ + OPT_Wdiscouraged = 218, /* -Wdiscouraged */ + OPT_Wdiv_by_zero = 219, /* -Wdiv-by-zero */ + OPT_Wdouble_promotion = 220, /* -Wdouble-promotion */ + OPT_Weffc__ = 221, /* -Weffc++ */ + OPT_Wempty_block = 222, /* -Wempty-block */ + OPT_Wempty_body = 223, /* -Wempty-body */ + OPT_Wendif_labels = 224, /* -Wendif-labels */ + OPT_Wenum_compare = 225, /* -Wenum-compare */ + OPT_Wenum_identifier = 226, /* -Wenum-identifier */ + OPT_Wenum_switch = 227, /* -Wenum-switch */ + OPT_Werror = 228, /* -Werror */ + /* OPT_Werror_implicit_function_declaration = 229, *//* -Werror-implicit-function-declaration */ + OPT_Werror_ = 230, /* -Werror= */ + OPT_Wextra = 231, /* -Wextra */ + OPT_Wextraneous_semicolon = 232, /* -Wextraneous-semicolon */ + OPT_Wfallthrough = 233, /* -Wfallthrough */ + OPT_Wfatal_errors = 234, /* -Wfatal-errors */ + OPT_Wfield_hiding = 235, /* -Wfield-hiding */ + OPT_Wfinal_bound = 236, /* -Wfinal-bound */ + OPT_Wfinally = 237, /* -Wfinally */ + OPT_Wfloat_conversion = 238, /* -Wfloat-conversion */ + OPT_Wfloat_equal = 239, /* -Wfloat-equal */ + OPT_Wforbidden = 240, /* -Wforbidden */ + /* OPT_Wformat = 241, */ /* -Wformat */ + OPT_Wformat_contains_nul = 242, /* -Wformat-contains-nul */ + OPT_Wformat_extra_args = 243, /* -Wformat-extra-args */ + OPT_Wformat_nonliteral = 244, /* -Wformat-nonliteral */ + OPT_Wformat_security = 245, /* -Wformat-security */ + OPT_Wformat_signedness = 246, /* -Wformat-signedness */ + OPT_Wformat_y2k = 247, /* -Wformat-y2k */ + OPT_Wformat_zero_length = 248, /* -Wformat-zero-length */ + OPT_Wformat_ = 249, /* -Wformat= */ + OPT_Wframe_larger_than_ = 250, /* -Wframe-larger-than= */ + OPT_Wfree_nonheap_object = 251, /* -Wfree-nonheap-object */ + OPT_Wfunction_elimination = 252, /* -Wfunction-elimination */ + OPT_Whiding = 253, /* -Whiding */ + OPT_Wignored_qualifiers = 254, /* -Wignored-qualifiers */ + OPT_Wimplicit = 255, /* -Wimplicit */ + OPT_Wimplicit_function_declaration = 256, /* -Wimplicit-function-declaration */ + OPT_Wimplicit_int = 257, /* -Wimplicit-int */ + OPT_Wimplicit_interface = 258, /* -Wimplicit-interface */ + OPT_Wimplicit_procedure = 259, /* -Wimplicit-procedure */ + /* OPT_Wimport = 260, */ /* -Wimport */ + OPT_Wincompatible_pointer_types = 261, /* -Wincompatible-pointer-types */ + OPT_Windirect_static = 262, /* -Windirect-static */ + OPT_Winherited_variadic_ctor = 263, /* -Winherited-variadic-ctor */ + OPT_Winit_self = 264, /* -Winit-self */ + OPT_Winline = 265, /* -Winline */ + OPT_Wint_conversion = 266, /* -Wint-conversion */ + OPT_Wint_to_pointer_cast = 267, /* -Wint-to-pointer-cast */ + OPT_Wintf_annotation = 268, /* -Wintf-annotation */ + OPT_Wintf_non_inherited = 269, /* -Wintf-non-inherited */ + OPT_Wintrinsic_shadow = 270, /* -Wintrinsic-shadow */ + OPT_Wintrinsics_std = 271, /* -Wintrinsics-std */ + OPT_Winvalid_memory_model = 272, /* -Winvalid-memory-model */ + OPT_Winvalid_offsetof = 273, /* -Winvalid-offsetof */ + OPT_Winvalid_pch = 274, /* -Winvalid-pch */ + OPT_Wjavadoc = 275, /* -Wjavadoc */ + OPT_Wjump_misses_init = 276, /* -Wjump-misses-init */ + OPT_Wl_ = 277, /* -Wl, */ + /* OPT_Wlarger_than_ = 278, */ /* -Wlarger-than- */ + OPT_Wlarger_than_ = 279, /* -Wlarger-than= */ + OPT_Wline_truncation = 280, /* -Wline-truncation */ + OPT_Wliteral_suffix = 281, /* -Wliteral-suffix */ + OPT_Wlocal_hiding = 282, /* -Wlocal-hiding */ + OPT_Wlogical_not_parentheses = 283, /* -Wlogical-not-parentheses */ + OPT_Wlogical_op = 284, /* -Wlogical-op */ + OPT_Wlong_long = 285, /* -Wlong-long */ + OPT_Wmain = 286, /* -Wmain */ + OPT_Wmasked_catch_block = 287, /* -Wmasked-catch-block */ + OPT_Wmaybe_uninitialized = 288, /* -Wmaybe-uninitialized */ + OPT_Wmemset_transposed_args = 289, /* -Wmemset-transposed-args */ + OPT_Wmissing_braces = 290, /* -Wmissing-braces */ + OPT_Wmissing_declarations = 291, /* -Wmissing-declarations */ + OPT_Wmissing_field_initializers = 292, /* -Wmissing-field-initializers */ + /* OPT_Wmissing_format_attribute = 293, */ /* -Wmissing-format-attribute */ + OPT_Wmissing_include_dirs = 294, /* -Wmissing-include-dirs */ + /* OPT_Wmissing_noreturn = 295, */ /* -Wmissing-noreturn */ + OPT_Wmissing_parameter_type = 296, /* -Wmissing-parameter-type */ + OPT_Wmissing_prototypes = 297, /* -Wmissing-prototypes */ + /* OPT_Wmudflap = 298, */ /* -Wmudflap */ + OPT_Wmultichar = 299, /* -Wmultichar */ + OPT_Wnarrowing = 300, /* -Wnarrowing */ + OPT_Wnested_externs = 301, /* -Wnested-externs */ + OPT_Wnls = 302, /* -Wnls */ + OPT_Wno_effect_assign = 303, /* -Wno-effect-assign */ + OPT_Wnoexcept = 304, /* -Wnoexcept */ + OPT_Wnon_template_friend = 305, /* -Wnon-template-friend */ + OPT_Wnon_virtual_dtor = 306, /* -Wnon-virtual-dtor */ + OPT_Wnonnull = 307, /* -Wnonnull */ + /* OPT_Wnormalized = 308, */ /* -Wnormalized */ + OPT_Wnormalized_ = 309, /* -Wnormalized= */ + OPT_Wnull = 310, /* -Wnull */ + OPT_Wodr = 311, /* -Wodr */ + OPT_Wold_style_cast = 312, /* -Wold-style-cast */ + OPT_Wold_style_declaration = 313, /* -Wold-style-declaration */ + OPT_Wold_style_definition = 314, /* -Wold-style-definition */ + OPT_Wopenmp_simd = 315, /* -Wopenmp-simd */ + OPT_Wout_of_date = 316, /* -Wout-of-date */ + OPT_Wover_ann = 317, /* -Wover-ann */ + OPT_Woverflow = 318, /* -Woverflow */ + OPT_Woverlength_strings = 319, /* -Woverlength-strings */ + OPT_Woverloaded_virtual = 320, /* -Woverloaded-virtual */ + OPT_Woverride_init = 321, /* -Woverride-init */ + OPT_Wp_ = 322, /* -Wp, */ + OPT_Wpacked = 323, /* -Wpacked */ + OPT_Wpacked_bitfield_compat = 324, /* -Wpacked-bitfield-compat */ + OPT_Wpadded = 325, /* -Wpadded */ + OPT_Wparam_assign = 326, /* -Wparam-assign */ + OPT_Wparentheses = 327, /* -Wparentheses */ + OPT_Wpedantic = 328, /* -Wpedantic */ + OPT_Wpedantic_ms_format = 329, /* -Wpedantic-ms-format */ + OPT_Wpkg_default_method = 330, /* -Wpkg-default-method */ + OPT_Wpmf_conversions = 331, /* -Wpmf-conversions */ + OPT_Wpointer_arith = 332, /* -Wpointer-arith */ + OPT_Wpointer_sign = 333, /* -Wpointer-sign */ + OPT_Wpointer_to_int_cast = 334, /* -Wpointer-to-int-cast */ + OPT_Wpragmas = 335, /* -Wpragmas */ + OPT_Wproperty_assign_default = 336, /* -Wproperty-assign-default */ + OPT_Wprotocol = 337, /* -Wprotocol */ + OPT_Wpsabi = 338, /* -Wpsabi */ + OPT_Wraw = 339, /* -Wraw */ + OPT_Wreal_q_constant = 340, /* -Wreal-q-constant */ + OPT_Wrealloc_lhs = 341, /* -Wrealloc-lhs */ + OPT_Wrealloc_lhs_all = 342, /* -Wrealloc-lhs-all */ + OPT_Wredundant_decls = 343, /* -Wredundant-decls */ + OPT_Wredundant_modifiers = 344, /* -Wredundant-modifiers */ + OPT_Wreorder = 345, /* -Wreorder */ + OPT_Wreturn_local_addr = 346, /* -Wreturn-local-addr */ + OPT_Wreturn_type = 347, /* -Wreturn-type */ + OPT_Wselector = 348, /* -Wselector */ + OPT_Wsequence_point = 349, /* -Wsequence-point */ + OPT_Wserial = 350, /* -Wserial */ + OPT_Wshadow = 351, /* -Wshadow */ + OPT_Wshadow_ivar = 352, /* -Wshadow-ivar */ + OPT_Wshift_count_negative = 353, /* -Wshift-count-negative */ + OPT_Wshift_count_overflow = 354, /* -Wshift-count-overflow */ + OPT_Wsign_compare = 355, /* -Wsign-compare */ + OPT_Wsign_conversion = 356, /* -Wsign-conversion */ + OPT_Wsign_promo = 357, /* -Wsign-promo */ + OPT_Wsized_deallocation = 358, /* -Wsized-deallocation */ + OPT_Wsizeof_array_argument = 359, /* -Wsizeof-array-argument */ + OPT_Wsizeof_pointer_memaccess = 360, /* -Wsizeof-pointer-memaccess */ + OPT_Wspecial_param_hiding = 361, /* -Wspecial-param-hiding */ + OPT_Wstack_protector = 362, /* -Wstack-protector */ + OPT_Wstack_usage_ = 363, /* -Wstack-usage= */ + OPT_Wstatic_access = 364, /* -Wstatic-access */ + OPT_Wstatic_receiver = 365, /* -Wstatic-receiver */ + OPT_Wstrict_aliasing = 366, /* -Wstrict-aliasing */ + OPT_Wstrict_aliasing_ = 367, /* -Wstrict-aliasing= */ + OPT_Wstrict_null_sentinel = 368, /* -Wstrict-null-sentinel */ + OPT_Wstrict_overflow = 369, /* -Wstrict-overflow */ + OPT_Wstrict_overflow_ = 370, /* -Wstrict-overflow= */ + OPT_Wstrict_prototypes = 371, /* -Wstrict-prototypes */ + OPT_Wstrict_selector_match = 372, /* -Wstrict-selector-match */ + OPT_Wsuggest_attribute_const = 373, /* -Wsuggest-attribute=const */ + OPT_Wsuggest_attribute_format = 374, /* -Wsuggest-attribute=format */ + OPT_Wsuggest_attribute_noreturn = 375, /* -Wsuggest-attribute=noreturn */ + OPT_Wsuggest_attribute_pure = 376, /* -Wsuggest-attribute=pure */ + OPT_Wsuggest_final_methods = 377, /* -Wsuggest-final-methods */ + OPT_Wsuggest_final_types = 378, /* -Wsuggest-final-types */ + OPT_Wsuggest_override = 379, /* -Wsuggest-override */ + OPT_Wsuppress = 380, /* -Wsuppress */ + OPT_Wsurprising = 381, /* -Wsurprising */ + OPT_Wswitch = 382, /* -Wswitch */ + OPT_Wswitch_bool = 383, /* -Wswitch-bool */ + OPT_Wswitch_default = 384, /* -Wswitch-default */ + OPT_Wswitch_enum = 385, /* -Wswitch-enum */ + OPT_Wsync_nand = 386, /* -Wsync-nand */ + OPT_Wsynth = 387, /* -Wsynth */ + OPT_Wsynthetic_access = 388, /* -Wsynthetic-access */ + OPT_Wsystem_headers = 389, /* -Wsystem-headers */ + OPT_Wtabs = 390, /* -Wtabs */ + OPT_Wtarget_lifetime = 391, /* -Wtarget-lifetime */ + OPT_Wtasks = 392, /* -Wtasks */ + OPT_Wtraditional = 393, /* -Wtraditional */ + OPT_Wtraditional_conversion = 394, /* -Wtraditional-conversion */ + OPT_Wtrampolines = 395, /* -Wtrampolines */ + OPT_Wtrigraphs = 396, /* -Wtrigraphs */ + OPT_Wtype_hiding = 397, /* -Wtype-hiding */ + OPT_Wtype_limits = 398, /* -Wtype-limits */ + OPT_Wuncheck = 399, /* -Wuncheck */ + OPT_Wundeclared_selector = 400, /* -Wundeclared-selector */ + OPT_Wundef = 401, /* -Wundef */ + OPT_Wunderflow = 402, /* -Wunderflow */ + OPT_Wuninitialized = 403, /* -Wuninitialized */ + OPT_Wunknown_pragmas = 404, /* -Wunknown-pragmas */ + OPT_Wunnecessary_else = 405, /* -Wunnecessary-else */ + OPT_Wunqualified_field = 406, /* -Wunqualified-field */ + /* OPT_Wunreachable_code = 407, */ /* -Wunreachable-code */ + OPT_Wunsafe_loop_optimizations = 408, /* -Wunsafe-loop-optimizations */ + OPT_Wunsuffixed_float_constants = 409, /* -Wunsuffixed-float-constants */ + OPT_Wunused = 410, /* -Wunused */ + OPT_Wunused_argument = 411, /* -Wunused-argument */ + OPT_Wunused_but_set_parameter = 412, /* -Wunused-but-set-parameter */ + OPT_Wunused_but_set_variable = 413, /* -Wunused-but-set-variable */ + OPT_Wunused_dummy_argument = 414, /* -Wunused-dummy-argument */ + OPT_Wunused_function = 415, /* -Wunused-function */ + OPT_Wunused_import = 416, /* -Wunused-import */ + OPT_Wunused_label = 417, /* -Wunused-label */ + OPT_Wunused_local = 418, /* -Wunused-local */ + OPT_Wunused_local_typedefs = 419, /* -Wunused-local-typedefs */ + OPT_Wunused_macros = 420, /* -Wunused-macros */ + OPT_Wunused_parameter = 421, /* -Wunused-parameter */ + OPT_Wunused_private = 422, /* -Wunused-private */ + OPT_Wunused_result = 423, /* -Wunused-result */ + OPT_Wunused_thrown = 424, /* -Wunused-thrown */ + OPT_Wunused_value = 425, /* -Wunused-value */ + OPT_Wunused_variable = 426, /* -Wunused-variable */ + OPT_Wuse_without_only = 427, /* -Wuse-without-only */ + OPT_Wuseless_cast = 428, /* -Wuseless-cast */ + OPT_Wuseless_type_check = 429, /* -Wuseless-type-check */ + OPT_Wvarargs = 430, /* -Wvarargs */ + OPT_Wvarargs_cast = 431, /* -Wvarargs-cast */ + OPT_Wvariadic_macros = 432, /* -Wvariadic-macros */ + OPT_Wvector_operation_performance = 433, /* -Wvector-operation-performance */ + OPT_Wvirtual_move_assign = 434, /* -Wvirtual-move-assign */ + OPT_Wvla = 435, /* -Wvla */ + OPT_Wvolatile_register_var = 436, /* -Wvolatile-register-var */ + OPT_Wwarning_token = 437, /* -Wwarning-token */ + OPT_Wwrite_strings = 438, /* -Wwrite-strings */ + OPT_Wzero_as_null_pointer_constant = 439, /* -Wzero-as-null-pointer-constant */ + OPT_Wzerotrip = 440, /* -Wzerotrip */ + OPT_Xassembler = 441, /* -Xassembler */ + OPT_Xlinker = 442, /* -Xlinker */ + OPT_Xpreprocessor = 443, /* -Xpreprocessor */ + OPT_Z = 444, /* -Z */ + OPT_ansi = 445, /* -ansi */ + OPT_aux_info = 446, /* -aux-info */ + /* OPT_aux_info_ = 447, */ /* -aux-info= */ + OPT_auxbase = 448, /* -auxbase */ + OPT_auxbase_strip = 449, /* -auxbase-strip */ + /* OPT_bootclasspath = 450, */ /* -bootclasspath */ + OPT_c = 451, /* -c */ + /* OPT_classpath = 452, */ /* -classpath */ + OPT_coverage = 453, /* -coverage */ + OPT_cpp = 454, /* -cpp */ + OPT_cpp_ = 455, /* -cpp= */ + OPT_d = 456, /* -d */ + OPT_dumpbase = 457, /* -dumpbase */ + OPT_dumpdir = 458, /* -dumpdir */ + OPT_dumpmachine = 459, /* -dumpmachine */ + OPT_dumpspecs = 460, /* -dumpspecs */ + OPT_dumpversion = 461, /* -dumpversion */ + OPT_e = 462, /* -e */ + /* OPT_encoding = 463, */ /* -encoding */ + OPT_export_dynamic = 464, /* -export-dynamic */ + OPT_extdirs = 465, /* -extdirs */ + /* OPT_fCLASSPATH_ = 466, */ /* -fCLASSPATH= */ + OPT_fPIC = 467, /* -fPIC */ + OPT_fPIE = 468, /* -fPIE */ + OPT_fRTS_ = 469, /* -fRTS= */ + OPT_fabi_compat_version_ = 470, /* -fabi-compat-version= */ + OPT_fabi_version_ = 471, /* -fabi-version= */ + OPT_faccess_control = 472, /* -faccess-control */ + OPT_fada_spec_parent_ = 473, /* -fada-spec-parent= */ + OPT_faggressive_function_elimination = 474,/* -faggressive-function-elimination */ + OPT_faggressive_loop_optimizations = 475, /* -faggressive-loop-optimizations */ + OPT_falign_commons = 476, /* -falign-commons */ + OPT_falign_functions = 477, /* -falign-functions */ + OPT_falign_functions_ = 478, /* -falign-functions= */ + OPT_falign_jumps = 479, /* -falign-jumps */ + OPT_falign_jumps_ = 480, /* -falign-jumps= */ + OPT_falign_labels = 481, /* -falign-labels */ + OPT_falign_labels_ = 482, /* -falign-labels= */ + OPT_falign_loops = 483, /* -falign-loops */ + OPT_falign_loops_ = 484, /* -falign-loops= */ + OPT_fall_intrinsics = 485, /* -fall-intrinsics */ + /* OPT_fall_virtual = 486, */ /* -fall-virtual */ + OPT_fallow_leading_underscore = 487, /* -fallow-leading-underscore */ + OPT_fallow_parameterless_variadic_functions = 488,/* -fallow-parameterless-variadic-functions */ + /* OPT_falt_external_templates = 489, */ /* -falt-external-templates */ + /* OPT_fargument_alias = 490, */ /* -fargument-alias */ + /* OPT_fargument_noalias = 491, */ /* -fargument-noalias */ + /* OPT_fargument_noalias_anything = 492, *//* -fargument-noalias-anything */ + /* OPT_fargument_noalias_global = 493, */ /* -fargument-noalias-global */ + OPT_fasan_shadow_offset_ = 494, /* -fasan-shadow-offset= */ + OPT_fasm = 495, /* -fasm */ + OPT_fassert = 496, /* -fassert */ + OPT_fassociative_math = 497, /* -fassociative-math */ + OPT_fassume_compiled = 498, /* -fassume-compiled */ + OPT_fassume_compiled_ = 499, /* -fassume-compiled= */ + OPT_fasynchronous_unwind_tables = 500, /* -fasynchronous-unwind-tables */ + OPT_fauto_inc_dec = 501, /* -fauto-inc-dec */ + OPT_fauto_profile = 502, /* -fauto-profile */ + OPT_fauto_profile_ = 503, /* -fauto-profile= */ + OPT_fautomatic = 504, /* -fautomatic */ + OPT_faux_classpath = 505, /* -faux-classpath */ + OPT_fbackslash = 506, /* -fbackslash */ + OPT_fbacktrace = 507, /* -fbacktrace */ + OPT_fblas_matmul_limit_ = 508, /* -fblas-matmul-limit= */ + OPT_fbootclasspath_ = 509, /* -fbootclasspath= */ + OPT_fbootstrap_classes = 510, /* -fbootstrap-classes */ + OPT_fbounds_check = 511, /* -fbounds-check */ + OPT_fbranch_count_reg = 512, /* -fbranch-count-reg */ + OPT_fbranch_probabilities = 513, /* -fbranch-probabilities */ + OPT_fbranch_target_load_optimize = 514, /* -fbranch-target-load-optimize */ + OPT_fbranch_target_load_optimize2 = 515, /* -fbranch-target-load-optimize2 */ + OPT_fbtr_bb_exclusive = 516, /* -fbtr-bb-exclusive */ + OPT_fbuilding_libgcc = 517, /* -fbuilding-libgcc */ + OPT_fbuiltin = 518, /* -fbuiltin */ + OPT_fbuiltin_ = 519, /* -fbuiltin- */ + OPT_fcall_saved_ = 520, /* -fcall-saved- */ + OPT_fcall_used_ = 521, /* -fcall-used- */ + OPT_fcaller_saves = 522, /* -fcaller-saves */ + OPT_fcanonical_system_headers = 523, /* -fcanonical-system-headers */ + OPT_fcheck_array_temporaries = 524, /* -fcheck-array-temporaries */ + OPT_fcheck_data_deps = 525, /* -fcheck-data-deps */ + OPT_fcheck_new = 526, /* -fcheck-new */ + OPT_fcheck_pointer_bounds = 527, /* -fcheck-pointer-bounds */ + OPT_fcheck_references = 528, /* -fcheck-references */ + OPT_fcheck_ = 529, /* -fcheck= */ + OPT_fchkp_check_incomplete_type = 530, /* -fchkp-check-incomplete-type */ + OPT_fchkp_check_read = 531, /* -fchkp-check-read */ + OPT_fchkp_check_write = 532, /* -fchkp-check-write */ + OPT_fchkp_first_field_has_own_bounds = 533,/* -fchkp-first-field-has-own-bounds */ + OPT_fchkp_instrument_calls = 534, /* -fchkp-instrument-calls */ + OPT_fchkp_instrument_marked_only = 535, /* -fchkp-instrument-marked-only */ + OPT_fchkp_narrow_bounds = 536, /* -fchkp-narrow-bounds */ + OPT_fchkp_narrow_to_innermost_array = 537, /* -fchkp-narrow-to-innermost-array */ + OPT_fchkp_optimize = 538, /* -fchkp-optimize */ + OPT_fchkp_store_bounds = 539, /* -fchkp-store-bounds */ + OPT_fchkp_treat_zero_dynamic_size_as_infinite = 540,/* -fchkp-treat-zero-dynamic-size-as-infinite */ + OPT_fchkp_use_fast_string_functions = 541, /* -fchkp-use-fast-string-functions */ + OPT_fchkp_use_nochk_string_functions = 542,/* -fchkp-use-nochk-string-functions */ + OPT_fchkp_use_static_bounds = 543, /* -fchkp-use-static-bounds */ + OPT_fchkp_use_static_const_bounds = 544, /* -fchkp-use-static-const-bounds */ + OPT_fchkp_use_wrappers = 545, /* -fchkp-use-wrappers */ + OPT_fchkp_zero_input_bounds_for_main = 546,/* -fchkp-zero-input-bounds-for-main */ + OPT_fcilkplus = 547, /* -fcilkplus */ + OPT_fclasspath_ = 548, /* -fclasspath= */ + OPT_fcoarray_ = 549, /* -fcoarray= */ + OPT_fcombine_stack_adjustments = 550, /* -fcombine-stack-adjustments */ + OPT_fcommon = 551, /* -fcommon */ + OPT_fcompare_debug = 552, /* -fcompare-debug */ + OPT_fcompare_debug_second = 553, /* -fcompare-debug-second */ + OPT_fcompare_debug_ = 554, /* -fcompare-debug= */ + OPT_fcompare_elim = 555, /* -fcompare-elim */ + OPT_fcompile_resource_ = 556, /* -fcompile-resource= */ + OPT_fcond_mismatch = 557, /* -fcond-mismatch */ + OPT_fconserve_space = 558, /* -fconserve-space */ + OPT_fconserve_stack = 559, /* -fconserve-stack */ + OPT_fconstant_string_class_ = 560, /* -fconstant-string-class= */ + OPT_fconstexpr_depth_ = 561, /* -fconstexpr-depth= */ + OPT_fconvert_ = 562, /* -fconvert= */ + OPT_fcprop_registers = 563, /* -fcprop-registers */ + OPT_fcray_pointer = 564, /* -fcray-pointer */ + OPT_fcrossjumping = 565, /* -fcrossjumping */ + OPT_fcse_follow_jumps = 566, /* -fcse-follow-jumps */ + /* OPT_fcse_skip_blocks = 567, */ /* -fcse-skip-blocks */ + OPT_fcx_fortran_rules = 568, /* -fcx-fortran-rules */ + OPT_fcx_limited_range = 569, /* -fcx-limited-range */ + OPT_fd_lines_as_code = 570, /* -fd-lines-as-code */ + OPT_fd_lines_as_comments = 571, /* -fd-lines-as-comments */ + OPT_fdata_sections = 572, /* -fdata-sections */ + OPT_fdbg_cnt_list = 573, /* -fdbg-cnt-list */ + OPT_fdbg_cnt_ = 574, /* -fdbg-cnt= */ + OPT_fdce = 575, /* -fdce */ + OPT_fdebug_cpp = 576, /* -fdebug-cpp */ + OPT_fdebug_prefix_map_ = 577, /* -fdebug-prefix-map= */ + OPT_fdebug_types_section = 578, /* -fdebug-types-section */ + OPT_fdeclone_ctor_dtor = 579, /* -fdeclone-ctor-dtor */ + OPT_fdeduce_init_list = 580, /* -fdeduce-init-list */ + OPT_fdefault_double_8 = 581, /* -fdefault-double-8 */ + /* OPT_fdefault_inline = 582, */ /* -fdefault-inline */ + OPT_fdefault_integer_8 = 583, /* -fdefault-integer-8 */ + OPT_fdefault_real_8 = 584, /* -fdefault-real-8 */ + OPT_fdefer_pop = 585, /* -fdefer-pop */ + OPT_fdelayed_branch = 586, /* -fdelayed-branch */ + OPT_fdelete_dead_exceptions = 587, /* -fdelete-dead-exceptions */ + OPT_fdelete_null_pointer_checks = 588, /* -fdelete-null-pointer-checks */ + OPT_fdevirtualize = 589, /* -fdevirtualize */ + OPT_fdevirtualize_at_ltrans = 590, /* -fdevirtualize-at-ltrans */ + OPT_fdevirtualize_speculatively = 591, /* -fdevirtualize-speculatively */ + /* OPT_fdiagnostics_color = 592, */ /* -fdiagnostics-color */ + OPT_fdiagnostics_color_ = 593, /* -fdiagnostics-color= */ + OPT_fdiagnostics_show_caret = 594, /* -fdiagnostics-show-caret */ + OPT_fdiagnostics_show_location_ = 595, /* -fdiagnostics-show-location= */ + OPT_fdiagnostics_show_option = 596, /* -fdiagnostics-show-option */ + OPT_fdirectives_only = 597, /* -fdirectives-only */ + OPT_fdisable_ = 598, /* -fdisable- */ + OPT_fdisable_assertions = 599, /* -fdisable-assertions */ + OPT_fdisable_assertions_ = 600, /* -fdisable-assertions= */ + OPT_fdollar_ok = 601, /* -fdollar-ok */ + OPT_fdollars_in_identifiers = 602, /* -fdollars-in-identifiers */ + OPT_fdse = 603, /* -fdse */ + OPT_fdump_ = 604, /* -fdump- */ + OPT_fdump_ada_spec = 605, /* -fdump-ada-spec */ + OPT_fdump_ada_spec_slim = 606, /* -fdump-ada-spec-slim */ + /* OPT_fdump_core = 607, */ /* -fdump-core */ + OPT_fdump_final_insns = 608, /* -fdump-final-insns */ + OPT_fdump_final_insns_ = 609, /* -fdump-final-insns= */ + OPT_fdump_fortran_optimized = 610, /* -fdump-fortran-optimized */ + OPT_fdump_fortran_original = 611, /* -fdump-fortran-original */ + OPT_fdump_go_spec_ = 612, /* -fdump-go-spec= */ + OPT_fdump_noaddr = 613, /* -fdump-noaddr */ + /* OPT_fdump_parse_tree = 614, */ /* -fdump-parse-tree */ + OPT_fdump_passes = 615, /* -fdump-passes */ + OPT_fdump_unnumbered = 616, /* -fdump-unnumbered */ + OPT_fdump_unnumbered_links = 617, /* -fdump-unnumbered-links */ + OPT_fdwarf2_cfi_asm = 618, /* -fdwarf2-cfi-asm */ + OPT_fearly_inlining = 619, /* -fearly-inlining */ + OPT_felide_constructors = 620, /* -felide-constructors */ + OPT_feliminate_dwarf2_dups = 621, /* -feliminate-dwarf2-dups */ + OPT_feliminate_unused_debug_symbols = 622, /* -feliminate-unused-debug-symbols */ + OPT_feliminate_unused_debug_types = 623, /* -feliminate-unused-debug-types */ + OPT_femit_class_debug_always = 624, /* -femit-class-debug-always */ + OPT_femit_class_file = 625, /* -femit-class-file */ + OPT_femit_class_files = 626, /* -femit-class-files */ + OPT_femit_struct_debug_baseonly = 627, /* -femit-struct-debug-baseonly */ + OPT_femit_struct_debug_detailed_ = 628, /* -femit-struct-debug-detailed= */ + OPT_femit_struct_debug_reduced = 629, /* -femit-struct-debug-reduced */ + OPT_fenable_ = 630, /* -fenable- */ + OPT_fenable_assertions = 631, /* -fenable-assertions */ + OPT_fenable_assertions_ = 632, /* -fenable-assertions= */ + OPT_fencoding_ = 633, /* -fencoding= */ + OPT_fenforce_eh_specs = 634, /* -fenforce-eh-specs */ + /* OPT_fenum_int_equiv = 635, */ /* -fenum-int-equiv */ + OPT_fexceptions = 636, /* -fexceptions */ + OPT_fexcess_precision_ = 637, /* -fexcess-precision= */ + OPT_fexec_charset_ = 638, /* -fexec-charset= */ + OPT_fexpensive_optimizations = 639, /* -fexpensive-optimizations */ + OPT_fext_numeric_literals = 640, /* -fext-numeric-literals */ + OPT_fextdirs_ = 641, /* -fextdirs= */ + OPT_fextended_identifiers = 642, /* -fextended-identifiers */ + OPT_fextern_tls_init = 643, /* -fextern-tls-init */ + OPT_fexternal_blas = 644, /* -fexternal-blas */ + /* OPT_fexternal_templates = 645, */ /* -fexternal-templates */ + OPT_ff2c = 646, /* -ff2c */ + OPT_ffast_math = 647, /* -ffast-math */ + OPT_ffat_lto_objects = 648, /* -ffat-lto-objects */ + OPT_ffilelist_file = 649, /* -ffilelist-file */ + OPT_ffinite_math_only = 650, /* -ffinite-math-only */ + OPT_ffixed_ = 651, /* -ffixed- */ + OPT_ffixed_form = 652, /* -ffixed-form */ + OPT_ffixed_line_length_ = 653, /* -ffixed-line-length- */ + OPT_ffixed_line_length_none = 654, /* -ffixed-line-length-none */ + OPT_ffloat_store = 655, /* -ffloat-store */ + OPT_ffor_scope = 656, /* -ffor-scope */ + /* OPT_fforce_addr = 657, */ /* -fforce-addr */ + OPT_fforce_classes_archive_check = 658, /* -fforce-classes-archive-check */ + OPT_fforward_propagate = 659, /* -fforward-propagate */ + OPT_ffp_contract_ = 660, /* -ffp-contract= */ + OPT_ffpe_summary_ = 661, /* -ffpe-summary= */ + OPT_ffpe_trap_ = 662, /* -ffpe-trap= */ + OPT_ffree_form = 663, /* -ffree-form */ + OPT_ffree_line_length_ = 664, /* -ffree-line-length- */ + OPT_ffree_line_length_none = 665, /* -ffree-line-length-none */ + OPT_ffreestanding = 666, /* -ffreestanding */ + OPT_ffriend_injection = 667, /* -ffriend-injection */ + OPT_ffrontend_optimize = 668, /* -ffrontend-optimize */ + OPT_ffunction_cse = 669, /* -ffunction-cse */ + OPT_ffunction_sections = 670, /* -ffunction-sections */ + OPT_fgcse = 671, /* -fgcse */ + OPT_fgcse_after_reload = 672, /* -fgcse-after-reload */ + OPT_fgcse_las = 673, /* -fgcse-las */ + OPT_fgcse_lm = 674, /* -fgcse-lm */ + OPT_fgcse_sm = 675, /* -fgcse-sm */ + OPT_fgnu_keywords = 676, /* -fgnu-keywords */ + OPT_fgnu_runtime = 677, /* -fgnu-runtime */ + OPT_fgnu_tm = 678, /* -fgnu-tm */ + OPT_fgnu_unique = 679, /* -fgnu-unique */ + OPT_fgnu89_inline = 680, /* -fgnu89-inline */ + OPT_fgo_check_divide_overflow = 681, /* -fgo-check-divide-overflow */ + OPT_fgo_check_divide_zero = 682, /* -fgo-check-divide-zero */ + OPT_fgo_dump_ = 683, /* -fgo-dump- */ + OPT_fgo_optimize_ = 684, /* -fgo-optimize- */ + OPT_fgo_pkgpath_ = 685, /* -fgo-pkgpath= */ + OPT_fgo_prefix_ = 686, /* -fgo-prefix= */ + OPT_fgo_relative_import_path_ = 687, /* -fgo-relative-import-path= */ + OPT_fgraphite = 688, /* -fgraphite */ + OPT_fgraphite_identity = 689, /* -fgraphite-identity */ + OPT_fguess_branch_probability = 690, /* -fguess-branch-probability */ + /* OPT_fguiding_decls = 691, */ /* -fguiding-decls */ + /* OPT_fhandle_exceptions = 692, */ /* -fhandle-exceptions */ + OPT_fhash_synchronization = 693, /* -fhash-synchronization */ + /* OPT_fhelp = 694, */ /* -fhelp */ + /* OPT_fhelp_ = 695, */ /* -fhelp= */ + OPT_fhoist_adjacent_loads = 696, /* -fhoist-adjacent-loads */ + /* OPT_fhonor_std = 697, */ /* -fhonor-std */ + OPT_fhosted = 698, /* -fhosted */ + /* OPT_fhuge_objects = 699, */ /* -fhuge-objects */ + OPT_fident = 700, /* -fident */ + OPT_fif_conversion = 701, /* -fif-conversion */ + OPT_fif_conversion2 = 702, /* -fif-conversion2 */ + OPT_fimplement_inlines = 703, /* -fimplement-inlines */ + OPT_fimplicit_inline_templates = 704, /* -fimplicit-inline-templates */ + OPT_fimplicit_none = 705, /* -fimplicit-none */ + OPT_fimplicit_templates = 706, /* -fimplicit-templates */ + OPT_findirect_classes = 707, /* -findirect-classes */ + OPT_findirect_dispatch = 708, /* -findirect-dispatch */ + OPT_findirect_inlining = 709, /* -findirect-inlining */ + OPT_finhibit_size_directive = 710, /* -finhibit-size-directive */ + OPT_finit_character_ = 711, /* -finit-character= */ + OPT_finit_integer_ = 712, /* -finit-integer= */ + OPT_finit_local_zero = 713, /* -finit-local-zero */ + OPT_finit_logical_ = 714, /* -finit-logical= */ + OPT_finit_real_ = 715, /* -finit-real= */ + OPT_finline = 716, /* -finline */ + OPT_finline_atomics = 717, /* -finline-atomics */ + OPT_finline_functions = 718, /* -finline-functions */ + OPT_finline_functions_called_once = 719, /* -finline-functions-called-once */ + /* OPT_finline_limit_ = 720, */ /* -finline-limit- */ + OPT_finline_limit_ = 721, /* -finline-limit= */ + OPT_finline_small_functions = 722, /* -finline-small-functions */ + OPT_finput_charset_ = 723, /* -finput-charset= */ + OPT_finstrument_functions = 724, /* -finstrument-functions */ + OPT_finstrument_functions_exclude_file_list_ = 725,/* -finstrument-functions-exclude-file-list= */ + OPT_finstrument_functions_exclude_function_list_ = 726,/* -finstrument-functions-exclude-function-list= */ + OPT_finteger_4_integer_8 = 727, /* -finteger-4-integer-8 */ + OPT_fintrinsic_modules_path = 728, /* -fintrinsic-modules-path */ + OPT_fintrinsic_modules_path_ = 729, /* -fintrinsic-modules-path= */ + OPT_fipa_cp = 730, /* -fipa-cp */ + OPT_fipa_cp_alignment = 731, /* -fipa-cp-alignment */ + OPT_fipa_cp_clone = 732, /* -fipa-cp-clone */ + OPT_fipa_icf = 733, /* -fipa-icf */ + OPT_fipa_icf_functions = 734, /* -fipa-icf-functions */ + OPT_fipa_icf_variables = 735, /* -fipa-icf-variables */ + /* OPT_fipa_matrix_reorg = 736, */ /* -fipa-matrix-reorg */ + OPT_fipa_profile = 737, /* -fipa-profile */ + OPT_fipa_pta = 738, /* -fipa-pta */ + OPT_fipa_pure_const = 739, /* -fipa-pure-const */ + OPT_fipa_ra = 740, /* -fipa-ra */ + OPT_fipa_reference = 741, /* -fipa-reference */ + OPT_fipa_sra = 742, /* -fipa-sra */ + /* OPT_fipa_struct_reorg = 743, */ /* -fipa-struct-reorg */ + OPT_fira_algorithm_ = 744, /* -fira-algorithm= */ + OPT_fira_hoist_pressure = 745, /* -fira-hoist-pressure */ + OPT_fira_loop_pressure = 746, /* -fira-loop-pressure */ + OPT_fira_region_ = 747, /* -fira-region= */ + OPT_fira_share_save_slots = 748, /* -fira-share-save-slots */ + OPT_fira_share_spill_slots = 749, /* -fira-share-spill-slots */ + OPT_fira_verbose_ = 750, /* -fira-verbose= */ + OPT_fisolate_erroneous_paths_attribute = 751,/* -fisolate-erroneous-paths-attribute */ + OPT_fisolate_erroneous_paths_dereference = 752,/* -fisolate-erroneous-paths-dereference */ + OPT_fivar_visibility_ = 753, /* -fivar-visibility= */ + OPT_fivopts = 754, /* -fivopts */ + OPT_fjni = 755, /* -fjni */ + OPT_fjump_tables = 756, /* -fjump-tables */ + OPT_fkeep_inline_dllexport = 757, /* -fkeep-inline-dllexport */ + OPT_fkeep_inline_functions = 758, /* -fkeep-inline-functions */ + OPT_fkeep_static_consts = 759, /* -fkeep-static-consts */ + /* OPT_flabels_ok = 760, */ /* -flabels-ok */ + OPT_flax_vector_conversions = 761, /* -flax-vector-conversions */ + OPT_fleading_underscore = 762, /* -fleading-underscore */ + OPT_flifetime_dse = 763, /* -flifetime-dse */ + OPT_flive_range_shrinkage = 764, /* -flive-range-shrinkage */ + OPT_flocal_ivars = 765, /* -flocal-ivars */ + OPT_floop_block = 766, /* -floop-block */ + /* OPT_floop_flatten = 767, */ /* -floop-flatten */ + OPT_floop_interchange = 768, /* -floop-interchange */ + OPT_floop_nest_optimize = 769, /* -floop-nest-optimize */ + /* OPT_floop_optimize = 770, */ /* -floop-optimize */ + OPT_floop_parallelize_all = 771, /* -floop-parallelize-all */ + OPT_floop_strip_mine = 772, /* -floop-strip-mine */ + OPT_floop_unroll_and_jam = 773, /* -floop-unroll-and-jam */ + OPT_flra_remat = 774, /* -flra-remat */ + OPT_flto = 775, /* -flto */ + OPT_flto_compression_level_ = 776, /* -flto-compression-level= */ + OPT_flto_odr_type_merging = 777, /* -flto-odr-type-merging */ + OPT_flto_partition_ = 778, /* -flto-partition= */ + OPT_flto_report = 779, /* -flto-report */ + OPT_flto_report_wpa = 780, /* -flto-report-wpa */ + OPT_flto_ = 781, /* -flto= */ + OPT_fltrans = 782, /* -fltrans */ + OPT_fltrans_output_list_ = 783, /* -fltrans-output-list= */ + OPT_fmain_ = 784, /* -fmain= */ + OPT_fmath_errno = 785, /* -fmath-errno */ + OPT_fmax_array_constructor_ = 786, /* -fmax-array-constructor= */ + OPT_fmax_errors_ = 787, /* -fmax-errors= */ + OPT_fmax_identifier_length_ = 788, /* -fmax-identifier-length= */ + OPT_fmax_stack_var_size_ = 789, /* -fmax-stack-var-size= */ + OPT_fmax_subrecord_length_ = 790, /* -fmax-subrecord-length= */ + OPT_fmem_report = 791, /* -fmem-report */ + OPT_fmem_report_wpa = 792, /* -fmem-report-wpa */ + OPT_fmerge_all_constants = 793, /* -fmerge-all-constants */ + OPT_fmerge_constants = 794, /* -fmerge-constants */ + OPT_fmerge_debug_strings = 795, /* -fmerge-debug-strings */ + OPT_fmessage_length_ = 796, /* -fmessage-length= */ + OPT_fmodule_private = 797, /* -fmodule-private */ + OPT_fmodulo_sched = 798, /* -fmodulo-sched */ + OPT_fmodulo_sched_allow_regmoves = 799, /* -fmodulo-sched-allow-regmoves */ + OPT_fmove_loop_invariants = 800, /* -fmove-loop-invariants */ + OPT_fms_extensions = 801, /* -fms-extensions */ + /* OPT_fmudflap = 802, */ /* -fmudflap */ + /* OPT_fmudflapir = 803, */ /* -fmudflapir */ + /* OPT_fmudflapth = 804, */ /* -fmudflapth */ + /* OPT_fname_mangling_version_ = 805, */ /* -fname-mangling-version- */ + /* OPT_fnew_abi = 806, */ /* -fnew-abi */ + OPT_fnext_runtime = 807, /* -fnext-runtime */ + OPT_fnil_receivers = 808, /* -fnil-receivers */ + /* OPT_fno_vect_cost_model = 809, */ /* -fno-vect-cost-model */ + OPT_fnon_call_exceptions = 810, /* -fnon-call-exceptions */ + OPT_fnonansi_builtins = 811, /* -fnonansi-builtins */ + /* OPT_fnonnull_objects = 812, */ /* -fnonnull-objects */ + OPT_fnothrow_opt = 813, /* -fnothrow-opt */ + OPT_fobjc_abi_version_ = 814, /* -fobjc-abi-version= */ + OPT_fobjc_call_cxx_cdtors = 815, /* -fobjc-call-cxx-cdtors */ + OPT_fobjc_direct_dispatch = 816, /* -fobjc-direct-dispatch */ + OPT_fobjc_exceptions = 817, /* -fobjc-exceptions */ + OPT_fobjc_gc = 818, /* -fobjc-gc */ + OPT_fobjc_nilcheck = 819, /* -fobjc-nilcheck */ + OPT_fobjc_sjlj_exceptions = 820, /* -fobjc-sjlj-exceptions */ + OPT_fobjc_std_objc1 = 821, /* -fobjc-std=objc1 */ + OPT_foffload_abi_ = 822, /* -foffload-abi= */ + OPT_foffload_ = 823, /* -foffload= */ + OPT_fomit_frame_pointer = 824, /* -fomit-frame-pointer */ + OPT_fopenacc = 825, /* -fopenacc */ + OPT_fopenmp = 826, /* -fopenmp */ + OPT_fopenmp_simd = 827, /* -fopenmp-simd */ + OPT_foperator_names = 828, /* -foperator-names */ + OPT_fopt_info = 829, /* -fopt-info */ + OPT_fopt_info_ = 830, /* -fopt-info- */ + /* OPT_foptimize_register_move = 831, */ /* -foptimize-register-move */ + OPT_foptimize_sibling_calls = 832, /* -foptimize-sibling-calls */ + OPT_foptimize_static_class_initialization = 833,/* -foptimize-static-class-initialization */ + OPT_foptimize_strlen = 834, /* -foptimize-strlen */ + /* OPT_foptional_diags = 835, */ /* -foptional-diags */ + OPT_foutput_class_dir_ = 836, /* -foutput-class-dir= */ + OPT_fpack_derived = 837, /* -fpack-derived */ + OPT_fpack_struct = 838, /* -fpack-struct */ + OPT_fpack_struct_ = 839, /* -fpack-struct= */ + OPT_fpartial_inlining = 840, /* -fpartial-inlining */ + OPT_fpcc_struct_return = 841, /* -fpcc-struct-return */ + OPT_fpch_deps = 842, /* -fpch-deps */ + OPT_fpch_preprocess = 843, /* -fpch-preprocess */ + OPT_fpeel_loops = 844, /* -fpeel-loops */ + OPT_fpeephole = 845, /* -fpeephole */ + OPT_fpeephole2 = 846, /* -fpeephole2 */ + OPT_fpermissive = 847, /* -fpermissive */ + OPT_fpic = 848, /* -fpic */ + OPT_fpie = 849, /* -fpie */ + OPT_fplan9_extensions = 850, /* -fplan9-extensions */ + OPT_fplugin_arg_ = 851, /* -fplugin-arg- */ + OPT_fplugin_ = 852, /* -fplugin= */ + OPT_fpost_ipa_mem_report = 853, /* -fpost-ipa-mem-report */ + OPT_fpre_ipa_mem_report = 854, /* -fpre-ipa-mem-report */ + OPT_fpredictive_commoning = 855, /* -fpredictive-commoning */ + OPT_fprefetch_loop_arrays = 856, /* -fprefetch-loop-arrays */ + OPT_fpreprocessed = 857, /* -fpreprocessed */ + OPT_fpretty_templates = 858, /* -fpretty-templates */ + OPT_fprofile = 859, /* -fprofile */ + OPT_fprofile_arcs = 860, /* -fprofile-arcs */ + OPT_fprofile_correction = 861, /* -fprofile-correction */ + OPT_fprofile_dir_ = 862, /* -fprofile-dir= */ + OPT_fprofile_generate = 863, /* -fprofile-generate */ + OPT_fprofile_generate_ = 864, /* -fprofile-generate= */ + OPT_fprofile_reorder_functions = 865, /* -fprofile-reorder-functions */ + OPT_fprofile_report = 866, /* -fprofile-report */ + OPT_fprofile_use = 867, /* -fprofile-use */ + OPT_fprofile_use_ = 868, /* -fprofile-use= */ + OPT_fprofile_values = 869, /* -fprofile-values */ + OPT_fprotect_parens = 870, /* -fprotect-parens */ + OPT_frandom_seed = 871, /* -frandom-seed */ + OPT_frandom_seed_ = 872, /* -frandom-seed= */ + OPT_frange_check = 873, /* -frange-check */ + OPT_freal_4_real_10 = 874, /* -freal-4-real-10 */ + OPT_freal_4_real_16 = 875, /* -freal-4-real-16 */ + OPT_freal_4_real_8 = 876, /* -freal-4-real-8 */ + OPT_freal_8_real_10 = 877, /* -freal-8-real-10 */ + OPT_freal_8_real_16 = 878, /* -freal-8-real-16 */ + OPT_freal_8_real_4 = 879, /* -freal-8-real-4 */ + OPT_frealloc_lhs = 880, /* -frealloc-lhs */ + OPT_freciprocal_math = 881, /* -freciprocal-math */ + OPT_frecord_gcc_switches = 882, /* -frecord-gcc-switches */ + OPT_frecord_marker_4 = 883, /* -frecord-marker=4 */ + OPT_frecord_marker_8 = 884, /* -frecord-marker=8 */ + OPT_frecursive = 885, /* -frecursive */ + OPT_freduced_reflection = 886, /* -freduced-reflection */ + OPT_free = 887, /* -free */ + OPT_freg_struct_return = 888, /* -freg-struct-return */ + /* OPT_fregmove = 889, */ /* -fregmove */ + OPT_frename_registers = 890, /* -frename-registers */ + OPT_freorder_blocks = 891, /* -freorder-blocks */ + OPT_freorder_blocks_and_partition = 892, /* -freorder-blocks-and-partition */ + OPT_freorder_functions = 893, /* -freorder-functions */ + OPT_frepack_arrays = 894, /* -frepack-arrays */ + OPT_freplace_objc_classes = 895, /* -freplace-objc-classes */ + OPT_frepo = 896, /* -frepo */ + OPT_freport_bug = 897, /* -freport-bug */ + OPT_frequire_return_statement = 898, /* -frequire-return-statement */ + OPT_frerun_cse_after_loop = 899, /* -frerun-cse-after-loop */ + /* OPT_frerun_loop_opt = 900, */ /* -frerun-loop-opt */ + OPT_freschedule_modulo_scheduled_loops = 901,/* -freschedule-modulo-scheduled-loops */ + OPT_fresolution_ = 902, /* -fresolution= */ + OPT_frounding_math = 903, /* -frounding-math */ + OPT_frtti = 904, /* -frtti */ + OPT_fsanitize_recover = 905, /* -fsanitize-recover */ + OPT_fsanitize_recover_ = 906, /* -fsanitize-recover= */ + OPT_fsanitize_undefined_trap_on_error = 907,/* -fsanitize-undefined-trap-on-error */ + OPT_fsanitize_ = 908, /* -fsanitize= */ + OPT_fsaw_java_file = 909, /* -fsaw-java-file */ + OPT_fsched_critical_path_heuristic = 910, /* -fsched-critical-path-heuristic */ + OPT_fsched_dep_count_heuristic = 911, /* -fsched-dep-count-heuristic */ + OPT_fsched_group_heuristic = 912, /* -fsched-group-heuristic */ + OPT_fsched_interblock = 913, /* -fsched-interblock */ + OPT_fsched_last_insn_heuristic = 914, /* -fsched-last-insn-heuristic */ + OPT_fsched_pressure = 915, /* -fsched-pressure */ + OPT_fsched_rank_heuristic = 916, /* -fsched-rank-heuristic */ + OPT_fsched_spec = 917, /* -fsched-spec */ + OPT_fsched_spec_insn_heuristic = 918, /* -fsched-spec-insn-heuristic */ + OPT_fsched_spec_load = 919, /* -fsched-spec-load */ + OPT_fsched_spec_load_dangerous = 920, /* -fsched-spec-load-dangerous */ + OPT_fsched_stalled_insns = 921, /* -fsched-stalled-insns */ + OPT_fsched_stalled_insns_dep = 922, /* -fsched-stalled-insns-dep */ + OPT_fsched_stalled_insns_dep_ = 923, /* -fsched-stalled-insns-dep= */ + OPT_fsched_stalled_insns_ = 924, /* -fsched-stalled-insns= */ + OPT_fsched_verbose_ = 925, /* -fsched-verbose= */ + OPT_fsched2_use_superblocks = 926, /* -fsched2-use-superblocks */ + /* OPT_fsched2_use_traces = 927, */ /* -fsched2-use-traces */ + OPT_fschedule_fusion = 928, /* -fschedule-fusion */ + OPT_fschedule_insns = 929, /* -fschedule-insns */ + OPT_fschedule_insns2 = 930, /* -fschedule-insns2 */ + OPT_fsecond_underscore = 931, /* -fsecond-underscore */ + OPT_fsection_anchors = 932, /* -fsection-anchors */ + /* OPT_fsee = 933, */ /* -fsee */ + OPT_fsel_sched_pipelining = 934, /* -fsel-sched-pipelining */ + OPT_fsel_sched_pipelining_outer_loops = 935,/* -fsel-sched-pipelining-outer-loops */ + OPT_fsel_sched_reschedule_pipelined = 936, /* -fsel-sched-reschedule-pipelined */ + OPT_fselective_scheduling = 937, /* -fselective-scheduling */ + OPT_fselective_scheduling2 = 938, /* -fselective-scheduling2 */ + OPT_fsemantic_interposition = 939, /* -fsemantic-interposition */ + OPT_fset_stack_executable = 940, /* -fset-stack-executable */ + OPT_fshort_double = 941, /* -fshort-double */ + OPT_fshort_enums = 942, /* -fshort-enums */ + OPT_fshort_wchar = 943, /* -fshort-wchar */ + OPT_fshow_column = 944, /* -fshow-column */ + OPT_fshrink_wrap = 945, /* -fshrink-wrap */ + OPT_fsign_zero = 946, /* -fsign-zero */ + OPT_fsignaling_nans = 947, /* -fsignaling-nans */ + OPT_fsigned_bitfields = 948, /* -fsigned-bitfields */ + OPT_fsigned_char = 949, /* -fsigned-char */ + OPT_fsigned_zeros = 950, /* -fsigned-zeros */ + OPT_fsimd_cost_model_ = 951, /* -fsimd-cost-model= */ + OPT_fsingle_precision_constant = 952, /* -fsingle-precision-constant */ + OPT_fsized_deallocation = 953, /* -fsized-deallocation */ + OPT_fsource_filename_ = 954, /* -fsource-filename= */ + OPT_fsource_ = 955, /* -fsource= */ + OPT_fsplit_ivs_in_unroller = 956, /* -fsplit-ivs-in-unroller */ + OPT_fsplit_stack = 957, /* -fsplit-stack */ + OPT_fsplit_wide_types = 958, /* -fsplit-wide-types */ + /* OPT_fsquangle = 959, */ /* -fsquangle */ + OPT_fssa_phiopt = 960, /* -fssa-phiopt */ + OPT_fstack_arrays = 961, /* -fstack-arrays */ + /* OPT_fstack_check = 962, */ /* -fstack-check */ + OPT_fstack_check_ = 963, /* -fstack-check= */ + OPT_fstack_limit = 964, /* -fstack-limit */ + OPT_fstack_limit_register_ = 965, /* -fstack-limit-register= */ + OPT_fstack_limit_symbol_ = 966, /* -fstack-limit-symbol= */ + OPT_fstack_protector = 967, /* -fstack-protector */ + OPT_fstack_protector_all = 968, /* -fstack-protector-all */ + OPT_fstack_protector_explicit = 969, /* -fstack-protector-explicit */ + OPT_fstack_protector_strong = 970, /* -fstack-protector-strong */ + OPT_fstack_reuse_ = 971, /* -fstack-reuse= */ + OPT_fstack_usage = 972, /* -fstack-usage */ + OPT_fstats = 973, /* -fstats */ + OPT_fstdarg_opt = 974, /* -fstdarg-opt */ + OPT_fstore_check = 975, /* -fstore-check */ + /* OPT_fstrength_reduce = 976, */ /* -fstrength-reduce */ + OPT_fstrict_aliasing = 977, /* -fstrict-aliasing */ + OPT_fstrict_enums = 978, /* -fstrict-enums */ + OPT_fstrict_overflow = 979, /* -fstrict-overflow */ + /* OPT_fstrict_prototype = 980, */ /* -fstrict-prototype */ + OPT_fstrict_volatile_bitfields = 981, /* -fstrict-volatile-bitfields */ + OPT_fsync_libcalls = 982, /* -fsync-libcalls */ + OPT_fsyntax_only = 983, /* -fsyntax-only */ + OPT_ftabstop_ = 984, /* -ftabstop= */ + /* OPT_ftarget_help = 985, */ /* -ftarget-help */ + OPT_ftarget_ = 986, /* -ftarget= */ + OPT_ftemplate_backtrace_limit_ = 987, /* -ftemplate-backtrace-limit= */ + /* OPT_ftemplate_depth_ = 988, */ /* -ftemplate-depth- */ + OPT_ftemplate_depth_ = 989, /* -ftemplate-depth= */ + OPT_ftest_coverage = 990, /* -ftest-coverage */ + /* OPT_fthis_is_variable = 991, */ /* -fthis-is-variable */ + OPT_fthread_jumps = 992, /* -fthread-jumps */ + OPT_fthreadsafe_statics = 993, /* -fthreadsafe-statics */ + OPT_ftime_report = 994, /* -ftime-report */ + OPT_ftls_model_ = 995, /* -ftls-model= */ + OPT_ftoplevel_reorder = 996, /* -ftoplevel-reorder */ + OPT_ftracer = 997, /* -ftracer */ + OPT_ftrack_macro_expansion = 998, /* -ftrack-macro-expansion */ + OPT_ftrack_macro_expansion_ = 999, /* -ftrack-macro-expansion= */ + OPT_ftrapping_math = 1000, /* -ftrapping-math */ + OPT_ftrapv = 1001, /* -ftrapv */ + OPT_ftree_bit_ccp = 1002, /* -ftree-bit-ccp */ + OPT_ftree_builtin_call_dce = 1003, /* -ftree-builtin-call-dce */ + OPT_ftree_ccp = 1004, /* -ftree-ccp */ + OPT_ftree_ch = 1005, /* -ftree-ch */ + OPT_ftree_coalesce_inlined_vars = 1006, /* -ftree-coalesce-inlined-vars */ + OPT_ftree_coalesce_vars = 1007, /* -ftree-coalesce-vars */ + OPT_ftree_copy_prop = 1008, /* -ftree-copy-prop */ + OPT_ftree_copyrename = 1009, /* -ftree-copyrename */ + OPT_ftree_cselim = 1010, /* -ftree-cselim */ + OPT_ftree_dce = 1011, /* -ftree-dce */ + OPT_ftree_dominator_opts = 1012, /* -ftree-dominator-opts */ + OPT_ftree_dse = 1013, /* -ftree-dse */ + OPT_ftree_forwprop = 1014, /* -ftree-forwprop */ + OPT_ftree_fre = 1015, /* -ftree-fre */ + OPT_ftree_loop_distribute_patterns = 1016, /* -ftree-loop-distribute-patterns */ + OPT_ftree_loop_distribution = 1017, /* -ftree-loop-distribution */ + OPT_ftree_loop_if_convert = 1018, /* -ftree-loop-if-convert */ + OPT_ftree_loop_if_convert_stores = 1019, /* -ftree-loop-if-convert-stores */ + OPT_ftree_loop_im = 1020, /* -ftree-loop-im */ + OPT_ftree_loop_ivcanon = 1021, /* -ftree-loop-ivcanon */ + /* OPT_ftree_loop_linear = 1022, */ /* -ftree-loop-linear */ + OPT_ftree_loop_optimize = 1023, /* -ftree-loop-optimize */ + OPT_ftree_loop_vectorize = 1024, /* -ftree-loop-vectorize */ + OPT_ftree_lrs = 1025, /* -ftree-lrs */ + OPT_ftree_parallelize_loops_ = 1026, /* -ftree-parallelize-loops= */ + OPT_ftree_partial_pre = 1027, /* -ftree-partial-pre */ + OPT_ftree_phiprop = 1028, /* -ftree-phiprop */ + OPT_ftree_pre = 1029, /* -ftree-pre */ + OPT_ftree_pta = 1030, /* -ftree-pta */ + OPT_ftree_reassoc = 1031, /* -ftree-reassoc */ + /* OPT_ftree_salias = 1032, */ /* -ftree-salias */ + OPT_ftree_scev_cprop = 1033, /* -ftree-scev-cprop */ + OPT_ftree_sink = 1034, /* -ftree-sink */ + OPT_ftree_slp_vectorize = 1035, /* -ftree-slp-vectorize */ + OPT_ftree_slsr = 1036, /* -ftree-slsr */ + OPT_ftree_sra = 1037, /* -ftree-sra */ + /* OPT_ftree_store_ccp = 1038, */ /* -ftree-store-ccp */ + /* OPT_ftree_store_copy_prop = 1039, */ /* -ftree-store-copy-prop */ + OPT_ftree_switch_conversion = 1040, /* -ftree-switch-conversion */ + OPT_ftree_tail_merge = 1041, /* -ftree-tail-merge */ + OPT_ftree_ter = 1042, /* -ftree-ter */ + /* OPT_ftree_vect_loop_version = 1043, */ /* -ftree-vect-loop-version */ + OPT_ftree_vectorize = 1044, /* -ftree-vectorize */ + /* OPT_ftree_vectorizer_verbose_ = 1045, *//* -ftree-vectorizer-verbose= */ + OPT_ftree_vrp = 1046, /* -ftree-vrp */ + OPT_funderscoring = 1047, /* -funderscoring */ + OPT_funit_at_a_time = 1048, /* -funit-at-a-time */ + OPT_funroll_all_loops = 1049, /* -funroll-all-loops */ + OPT_funroll_loops = 1050, /* -funroll-loops */ + OPT_funsafe_loop_optimizations = 1051, /* -funsafe-loop-optimizations */ + OPT_funsafe_math_optimizations = 1052, /* -funsafe-math-optimizations */ + OPT_funsigned_bitfields = 1053, /* -funsigned-bitfields */ + OPT_funsigned_char = 1054, /* -funsigned-char */ + OPT_funswitch_loops = 1055, /* -funswitch-loops */ + OPT_funwind_tables = 1056, /* -funwind-tables */ + OPT_fuse_atomic_builtins = 1057, /* -fuse-atomic-builtins */ + OPT_fuse_boehm_gc = 1058, /* -fuse-boehm-gc */ + OPT_fuse_cxa_atexit = 1059, /* -fuse-cxa-atexit */ + OPT_fuse_cxa_get_exception_ptr = 1060, /* -fuse-cxa-get-exception-ptr */ + OPT_fuse_divide_subroutine = 1061, /* -fuse-divide-subroutine */ + OPT_fuse_ld_bfd = 1062, /* -fuse-ld=bfd */ + OPT_fuse_ld_gold = 1063, /* -fuse-ld=gold */ + OPT_fuse_linker_plugin = 1064, /* -fuse-linker-plugin */ + OPT_fvar_tracking = 1065, /* -fvar-tracking */ + OPT_fvar_tracking_assignments = 1066, /* -fvar-tracking-assignments */ + OPT_fvar_tracking_assignments_toggle = 1067,/* -fvar-tracking-assignments-toggle */ + OPT_fvar_tracking_uninit = 1068, /* -fvar-tracking-uninit */ + OPT_fvariable_expansion_in_unroller = 1069,/* -fvariable-expansion-in-unroller */ + /* OPT_fvect_cost_model = 1070, */ /* -fvect-cost-model */ + OPT_fvect_cost_model_ = 1071, /* -fvect-cost-model= */ + OPT_fverbose_asm = 1072, /* -fverbose-asm */ + /* OPT_fversion = 1073, */ /* -fversion */ + OPT_fvisibility_inlines_hidden = 1074, /* -fvisibility-inlines-hidden */ + OPT_fvisibility_ms_compat = 1075, /* -fvisibility-ms-compat */ + OPT_fvisibility_ = 1076, /* -fvisibility= */ + OPT_fvpt = 1077, /* -fvpt */ + /* OPT_fvtable_gc = 1078, */ /* -fvtable-gc */ + /* OPT_fvtable_thunks = 1079, */ /* -fvtable-thunks */ + OPT_fvtable_verify_ = 1080, /* -fvtable-verify= */ + OPT_fvtv_counts = 1081, /* -fvtv-counts */ + OPT_fvtv_debug = 1082, /* -fvtv-debug */ + OPT_fweak = 1083, /* -fweak */ + OPT_fweb = 1084, /* -fweb */ + /* OPT_fwhole_file = 1085, */ /* -fwhole-file */ + OPT_fwhole_program = 1086, /* -fwhole-program */ + OPT_fwide_exec_charset_ = 1087, /* -fwide-exec-charset= */ + OPT_fworking_directory = 1088, /* -fworking-directory */ + OPT_fwpa = 1089, /* -fwpa */ + OPT_fwpa_ = 1090, /* -fwpa= */ + OPT_fwrapv = 1091, /* -fwrapv */ + OPT_fwritable_relocated_rdata = 1092, /* -fwritable-relocated-rdata */ + /* OPT_fxref = 1093, */ /* -fxref */ + /* OPT_fzee = 1094, */ /* -fzee */ + OPT_fzero_initialized_in_bss = 1095, /* -fzero-initialized-in-bss */ + OPT_fzero_link = 1096, /* -fzero-link */ + OPT_g = 1097, /* -g */ + OPT_gant = 1098, /* -gant */ + OPT_gcoff = 1099, /* -gcoff */ + OPT_gdwarf = 1100, /* -gdwarf */ + OPT_gdwarf_ = 1101, /* -gdwarf- */ + OPT_gen_decls = 1102, /* -gen-decls */ + OPT_ggdb = 1103, /* -ggdb */ + OPT_ggnu_pubnames = 1104, /* -ggnu-pubnames */ + OPT_gnat = 1105, /* -gnat */ + OPT_gnatO = 1106, /* -gnatO */ + OPT_gno_pubnames = 1107, /* -gno-pubnames */ + OPT_gno_record_gcc_switches = 1108, /* -gno-record-gcc-switches */ + OPT_gno_split_dwarf = 1109, /* -gno-split-dwarf */ + OPT_gno_strict_dwarf = 1110, /* -gno-strict-dwarf */ + OPT_gpubnames = 1111, /* -gpubnames */ + OPT_grecord_gcc_switches = 1112, /* -grecord-gcc-switches */ + OPT_gsplit_dwarf = 1113, /* -gsplit-dwarf */ + OPT_gstabs = 1114, /* -gstabs */ + OPT_gstabs_ = 1115, /* -gstabs+ */ + OPT_gstrict_dwarf = 1116, /* -gstrict-dwarf */ + OPT_gtoggle = 1117, /* -gtoggle */ + OPT_gvms = 1118, /* -gvms */ + OPT_gxcoff = 1119, /* -gxcoff */ + OPT_gxcoff_ = 1120, /* -gxcoff+ */ + OPT_gz = 1121, /* -gz */ + OPT_gz_ = 1122, /* -gz= */ + OPT_h = 1123, /* -h */ + OPT_idirafter = 1124, /* -idirafter */ + OPT_imacros = 1125, /* -imacros */ + OPT_imultiarch = 1126, /* -imultiarch */ + OPT_imultilib = 1127, /* -imultilib */ + OPT_include = 1128, /* -include */ + OPT_iplugindir_ = 1129, /* -iplugindir= */ + OPT_iprefix = 1130, /* -iprefix */ + OPT_iquote = 1131, /* -iquote */ + OPT_isysroot = 1132, /* -isysroot */ + OPT_isystem = 1133, /* -isystem */ + OPT_iwithprefix = 1134, /* -iwithprefix */ + OPT_iwithprefixbefore = 1135, /* -iwithprefixbefore */ + OPT_k8 = 1136, /* -k8 */ + OPT_l = 1137, /* -l */ + OPT_lang_asm = 1138, /* -lang-asm */ + OPT_m128bit_long_double = 1139, /* -m128bit-long-double */ + OPT_m16 = 1140, /* -m16 */ + OPT_m32 = 1141, /* -m32 */ + OPT_m3dnow = 1142, /* -m3dnow */ + OPT_m3dnowa = 1143, /* -m3dnowa */ + OPT_m64 = 1144, /* -m64 */ + OPT_m80387 = 1145, /* -m80387 */ + OPT_m8bit_idiv = 1146, /* -m8bit-idiv */ + OPT_m96bit_long_double = 1147, /* -m96bit-long-double */ + OPT_mabi_ = 1148, /* -mabi= */ + OPT_mabm = 1149, /* -mabm */ + OPT_maccumulate_outgoing_args = 1150, /* -maccumulate-outgoing-args */ + OPT_maddress_mode_ = 1151, /* -maddress-mode= */ + OPT_madx = 1152, /* -madx */ + OPT_maes = 1153, /* -maes */ + OPT_malign_data_ = 1154, /* -malign-data= */ + OPT_malign_double = 1155, /* -malign-double */ + OPT_malign_functions_ = 1156, /* -malign-functions= */ + OPT_malign_jumps_ = 1157, /* -malign-jumps= */ + OPT_malign_loops_ = 1158, /* -malign-loops= */ + OPT_malign_stringops = 1159, /* -malign-stringops */ + OPT_march_ = 1160, /* -march= */ + OPT_masm_ = 1161, /* -masm= */ + OPT_mavx = 1162, /* -mavx */ + OPT_mavx2 = 1163, /* -mavx2 */ + OPT_mavx256_split_unaligned_load = 1164, /* -mavx256-split-unaligned-load */ + OPT_mavx256_split_unaligned_store = 1165, /* -mavx256-split-unaligned-store */ + OPT_mavx512bw = 1166, /* -mavx512bw */ + OPT_mavx512cd = 1167, /* -mavx512cd */ + OPT_mavx512dq = 1168, /* -mavx512dq */ + OPT_mavx512er = 1169, /* -mavx512er */ + OPT_mavx512f = 1170, /* -mavx512f */ + OPT_mavx512ifma = 1171, /* -mavx512ifma */ + OPT_mavx512pf = 1172, /* -mavx512pf */ + OPT_mavx512vbmi = 1173, /* -mavx512vbmi */ + OPT_mavx512vl = 1174, /* -mavx512vl */ + OPT_mbmi = 1175, /* -mbmi */ + OPT_mbmi2 = 1176, /* -mbmi2 */ + OPT_mbranch_cost_ = 1177, /* -mbranch-cost= */ + OPT_mcld = 1178, /* -mcld */ + OPT_mclflushopt = 1179, /* -mclflushopt */ + OPT_mclwb = 1180, /* -mclwb */ + OPT_mcmodel_ = 1181, /* -mcmodel= */ + OPT_mconsole = 1182, /* -mconsole */ + /* OPT_mcpu_ = 1183, */ /* -mcpu= */ + OPT_mcrc32 = 1184, /* -mcrc32 */ + OPT_mcx16 = 1185, /* -mcx16 */ + OPT_mdispatch_scheduler = 1186, /* -mdispatch-scheduler */ + OPT_mdll = 1187, /* -mdll */ + OPT_mdump_tune_features = 1188, /* -mdump-tune-features */ + OPT_mf16c = 1189, /* -mf16c */ + OPT_mfancy_math_387 = 1190, /* -mfancy-math-387 */ + OPT_mfentry = 1191, /* -mfentry */ + OPT_mfma = 1192, /* -mfma */ + OPT_mfma4 = 1193, /* -mfma4 */ + OPT_mforce_drap = 1194, /* -mforce-drap */ + OPT_mfp_ret_in_387 = 1195, /* -mfp-ret-in-387 */ + OPT_mfpmath_ = 1196, /* -mfpmath= */ + OPT_mfsgsbase = 1197, /* -mfsgsbase */ + /* OPT_mfused_madd = 1198, */ /* -mfused-madd */ + OPT_mfxsr = 1199, /* -mfxsr */ + OPT_mhard_float = 1200, /* -mhard-float */ + OPT_mhle = 1201, /* -mhle */ + OPT_mieee_fp = 1202, /* -mieee-fp */ + OPT_mincoming_stack_boundary_ = 1203, /* -mincoming-stack-boundary= */ + OPT_minline_all_stringops = 1204, /* -minline-all-stringops */ + OPT_minline_stringops_dynamically = 1205, /* -minline-stringops-dynamically */ + /* OPT_mintel_syntax = 1206, */ /* -mintel-syntax */ + OPT_mlarge_data_threshold_ = 1207, /* -mlarge-data-threshold= */ + OPT_mlong_double_128 = 1208, /* -mlong-double-128 */ + OPT_mlong_double_64 = 1209, /* -mlong-double-64 */ + OPT_mlong_double_80 = 1210, /* -mlong-double-80 */ + OPT_mlwp = 1211, /* -mlwp */ + OPT_mlzcnt = 1212, /* -mlzcnt */ + OPT_mmemcpy_strategy_ = 1213, /* -mmemcpy-strategy= */ + OPT_mmemset_strategy_ = 1214, /* -mmemset-strategy= */ + OPT_mmmx = 1215, /* -mmmx */ + OPT_mmovbe = 1216, /* -mmovbe */ + OPT_mmpx = 1217, /* -mmpx */ + OPT_mms_bitfields = 1218, /* -mms-bitfields */ + OPT_mmwaitx = 1219, /* -mmwaitx */ + OPT_mno_align_stringops = 1220, /* -mno-align-stringops */ + OPT_mno_default = 1221, /* -mno-default */ + OPT_mno_fancy_math_387 = 1222, /* -mno-fancy-math-387 */ + OPT_mno_push_args = 1223, /* -mno-push-args */ + OPT_mno_red_zone = 1224, /* -mno-red-zone */ + OPT_mno_sse4 = 1225, /* -mno-sse4 */ + OPT_mnop_fun_dllimport = 1226, /* -mnop-fun-dllimport */ + OPT_mnop_mcount = 1227, /* -mnop-mcount */ + OPT_momit_leaf_frame_pointer = 1228, /* -momit-leaf-frame-pointer */ + OPT_mpc32 = 1229, /* -mpc32 */ + OPT_mpc64 = 1230, /* -mpc64 */ + OPT_mpc80 = 1231, /* -mpc80 */ + OPT_mpclmul = 1232, /* -mpclmul */ + OPT_mpcommit = 1233, /* -mpcommit */ + OPT_mpe_aligned_commons = 1234, /* -mpe-aligned-commons */ + OPT_mpopcnt = 1235, /* -mpopcnt */ + OPT_mprefer_avx128 = 1236, /* -mprefer-avx128 */ + OPT_mpreferred_stack_boundary_ = 1237, /* -mpreferred-stack-boundary= */ + OPT_mprefetchwt1 = 1238, /* -mprefetchwt1 */ + OPT_mprfchw = 1239, /* -mprfchw */ + OPT_mpush_args = 1240, /* -mpush-args */ + OPT_mrdrnd = 1241, /* -mrdrnd */ + OPT_mrdseed = 1242, /* -mrdseed */ + OPT_mrecip = 1243, /* -mrecip */ + OPT_mrecip_ = 1244, /* -mrecip= */ + OPT_mrecord_mcount = 1245, /* -mrecord-mcount */ + OPT_mred_zone = 1246, /* -mred-zone */ + OPT_mregparm_ = 1247, /* -mregparm= */ + OPT_mrtd = 1248, /* -mrtd */ + OPT_mrtm = 1249, /* -mrtm */ + OPT_msahf = 1250, /* -msahf */ + OPT_msha = 1251, /* -msha */ + OPT_mskip_rax_setup = 1252, /* -mskip-rax-setup */ + OPT_msoft_float = 1253, /* -msoft-float */ + OPT_msse = 1254, /* -msse */ + OPT_msse2 = 1255, /* -msse2 */ + OPT_msse2avx = 1256, /* -msse2avx */ + OPT_msse3 = 1257, /* -msse3 */ + OPT_msse4 = 1258, /* -msse4 */ + OPT_msse4_1 = 1259, /* -msse4.1 */ + OPT_msse4_2 = 1260, /* -msse4.2 */ + OPT_msse4a = 1261, /* -msse4a */ + /* OPT_msse5 = 1262, */ /* -msse5 */ + OPT_msseregparm = 1263, /* -msseregparm */ + OPT_mssse3 = 1264, /* -mssse3 */ + OPT_mstack_arg_probe = 1265, /* -mstack-arg-probe */ + OPT_mstack_protector_guard_ = 1266, /* -mstack-protector-guard= */ + OPT_mstackrealign = 1267, /* -mstackrealign */ + OPT_mstringop_strategy_ = 1268, /* -mstringop-strategy= */ + OPT_mtbm = 1269, /* -mtbm */ + OPT_mthreads = 1270, /* -mthreads */ + OPT_mtls_dialect_ = 1271, /* -mtls-dialect= */ + OPT_mtls_direct_seg_refs = 1272, /* -mtls-direct-seg-refs */ + OPT_mtune_ctrl_ = 1273, /* -mtune-ctrl= */ + OPT_mtune_ = 1274, /* -mtune= */ + OPT_muse_libstdc_wrappers = 1275, /* -muse-libstdc-wrappers */ + OPT_mveclibabi_ = 1276, /* -mveclibabi= */ + OPT_mvect8_ret_in_mem = 1277, /* -mvect8-ret-in-mem */ + OPT_mvzeroupper = 1278, /* -mvzeroupper */ + OPT_mwin32 = 1279, /* -mwin32 */ + OPT_mwindows = 1280, /* -mwindows */ + OPT_mx32 = 1281, /* -mx32 */ + OPT_mxop = 1282, /* -mxop */ + OPT_mxsave = 1283, /* -mxsave */ + OPT_mxsavec = 1284, /* -mxsavec */ + OPT_mxsaveopt = 1285, /* -mxsaveopt */ + OPT_mxsaves = 1286, /* -mxsaves */ + OPT_n = 1287, /* -n */ + OPT_no_canonical_prefixes = 1288, /* -no-canonical-prefixes */ + OPT_no_integrated_cpp = 1289, /* -no-integrated-cpp */ + OPT_no_pthread = 1290, /* -no-pthread */ + OPT_nocpp = 1291, /* -nocpp */ + OPT_nodefaultlibs = 1292, /* -nodefaultlibs */ + OPT_nostartfiles = 1293, /* -nostartfiles */ + OPT_nostdinc = 1294, /* -nostdinc */ + OPT_nostdinc__ = 1295, /* -nostdinc++ */ + OPT_nostdlib = 1296, /* -nostdlib */ + OPT_o = 1297, /* -o */ + OPT_p = 1298, /* -p */ + OPT_pass_exit_codes = 1299, /* -pass-exit-codes */ + /* OPT_pedantic = 1300, */ /* -pedantic */ + OPT_pedantic_errors = 1301, /* -pedantic-errors */ + OPT_pg = 1302, /* -pg */ + OPT_pie = 1303, /* -pie */ + OPT_pipe = 1304, /* -pipe */ + OPT_posix = 1305, /* -posix */ + OPT_print_file_name_ = 1306, /* -print-file-name= */ + OPT_print_libgcc_file_name = 1307, /* -print-libgcc-file-name */ + OPT_print_multi_directory = 1308, /* -print-multi-directory */ + OPT_print_multi_lib = 1309, /* -print-multi-lib */ + OPT_print_multi_os_directory = 1310, /* -print-multi-os-directory */ + OPT_print_multiarch = 1311, /* -print-multiarch */ + OPT_print_objc_runtime_info = 1312, /* -print-objc-runtime-info */ + OPT_print_prog_name_ = 1313, /* -print-prog-name= */ + OPT_print_search_dirs = 1314, /* -print-search-dirs */ + OPT_print_sysroot = 1315, /* -print-sysroot */ + OPT_print_sysroot_headers_suffix = 1316, /* -print-sysroot-headers-suffix */ + OPT_pthread = 1317, /* -pthread */ + OPT_quiet = 1318, /* -quiet */ + OPT_r = 1319, /* -r */ + OPT_remap = 1320, /* -remap */ + OPT_s = 1321, /* -s */ + OPT_s_bc_abi = 1322, /* -s-bc-abi */ + OPT_save_temps = 1323, /* -save-temps */ + OPT_save_temps_ = 1324, /* -save-temps= */ + OPT_shared = 1325, /* -shared */ + OPT_shared_libgcc = 1326, /* -shared-libgcc */ + /* OPT_specs = 1327, */ /* -specs */ + OPT_specs_ = 1328, /* -specs= */ + OPT_static = 1329, /* -static */ + OPT_static_libasan = 1330, /* -static-libasan */ + OPT_static_libgcc = 1331, /* -static-libgcc */ + OPT_static_libgcj = 1332, /* -static-libgcj */ + OPT_static_libgfortran = 1333, /* -static-libgfortran */ + OPT_static_libgo = 1334, /* -static-libgo */ + OPT_static_liblsan = 1335, /* -static-liblsan */ + OPT_static_libmpx = 1336, /* -static-libmpx */ + OPT_static_libmpxwrappers = 1337, /* -static-libmpxwrappers */ + OPT_static_libstdc__ = 1338, /* -static-libstdc++ */ + OPT_static_libtsan = 1339, /* -static-libtsan */ + OPT_static_libubsan = 1340, /* -static-libubsan */ + /* OPT_std_c__03 = 1341, */ /* -std=c++03 */ + /* OPT_std_c__0x = 1342, */ /* -std=c++0x */ + OPT_std_c__11 = 1343, /* -std=c++11 */ + OPT_std_c__14 = 1344, /* -std=c++14 */ + /* OPT_std_c__17 = 1345, */ /* -std=c++17 */ + /* OPT_std_c__1y = 1346, */ /* -std=c++1y */ + OPT_std_c__1z = 1347, /* -std=c++1z */ + OPT_std_c__98 = 1348, /* -std=c++98 */ + OPT_std_c11 = 1349, /* -std=c11 */ + /* OPT_std_c1x = 1350, */ /* -std=c1x */ + /* OPT_std_c89 = 1351, */ /* -std=c89 */ + OPT_std_c90 = 1352, /* -std=c90 */ + OPT_std_c99 = 1353, /* -std=c99 */ + /* OPT_std_c9x = 1354, */ /* -std=c9x */ + OPT_std_f2003 = 1355, /* -std=f2003 */ + OPT_std_f2008 = 1356, /* -std=f2008 */ + OPT_std_f2008ts = 1357, /* -std=f2008ts */ + OPT_std_f95 = 1358, /* -std=f95 */ + OPT_std_gnu = 1359, /* -std=gnu */ + /* OPT_std_gnu__03 = 1360, */ /* -std=gnu++03 */ + /* OPT_std_gnu__0x = 1361, */ /* -std=gnu++0x */ + OPT_std_gnu__11 = 1362, /* -std=gnu++11 */ + OPT_std_gnu__14 = 1363, /* -std=gnu++14 */ + /* OPT_std_gnu__17 = 1364, */ /* -std=gnu++17 */ + /* OPT_std_gnu__1y = 1365, */ /* -std=gnu++1y */ + OPT_std_gnu__1z = 1366, /* -std=gnu++1z */ + OPT_std_gnu__98 = 1367, /* -std=gnu++98 */ + OPT_std_gnu11 = 1368, /* -std=gnu11 */ + /* OPT_std_gnu1x = 1369, */ /* -std=gnu1x */ + /* OPT_std_gnu89 = 1370, */ /* -std=gnu89 */ + OPT_std_gnu90 = 1371, /* -std=gnu90 */ + OPT_std_gnu99 = 1372, /* -std=gnu99 */ + /* OPT_std_gnu9x = 1373, */ /* -std=gnu9x */ + /* OPT_std_iso9899_1990 = 1374, */ /* -std=iso9899:1990 */ + OPT_std_iso9899_199409 = 1375, /* -std=iso9899:199409 */ + /* OPT_std_iso9899_1999 = 1376, */ /* -std=iso9899:1999 */ + /* OPT_std_iso9899_199x = 1377, */ /* -std=iso9899:199x */ + /* OPT_std_iso9899_2011 = 1378, */ /* -std=iso9899:2011 */ + OPT_std_legacy = 1379, /* -std=legacy */ + OPT_symbolic = 1380, /* -symbolic */ + OPT_t = 1381, /* -t */ + OPT_time = 1382, /* -time */ + OPT_time_ = 1383, /* -time= */ + OPT_traditional = 1384, /* -traditional */ + OPT_traditional_cpp = 1385, /* -traditional-cpp */ + OPT_trigraphs = 1386, /* -trigraphs */ + OPT_u = 1387, /* -u */ + OPT_undef = 1388, /* -undef */ + OPT_v = 1389, /* -v */ + OPT_version = 1390, /* -version */ + OPT_w = 1391, /* -w */ + OPT_wrapper = 1392, /* -wrapper */ + OPT_x = 1393, /* -x */ + OPT_z = 1394, /* -z */ + N_OPTS, + OPT_SPECIAL_unknown, + OPT_SPECIAL_ignore, + OPT_SPECIAL_program_name, + OPT_SPECIAL_input_file +}; + +#ifdef GCC_C_COMMON_C +/* Mapping from cpp message reasons to the options that enable them. */ +#include +struct cpp_reason_option_codes_t +{ + const int reason; /* cpplib message reason. */ + const int option_code; /* gcc option that controls this message. */ +}; + +static const struct cpp_reason_option_codes_t cpp_reason_option_codes[] = { + {CPP_W_BUILTIN_MACRO_REDEFINED, OPT_Wbuiltin_macro_redefined}, + {CPP_W_CXX_OPERATOR_NAMES, OPT_Wc___compat}, + {CPP_W_C90_C99_COMPAT, OPT_Wc90_c99_compat}, + {CPP_W_COMMENTS, OPT_Wcomment}, + {CPP_W_WARNING_DIRECTIVE, OPT_Wcpp}, + {CPP_W_DATE_TIME, OPT_Wdate_time}, + {CPP_W_DEPRECATED, OPT_Wdeprecated}, + {CPP_W_ENDIF_LABELS, OPT_Wendif_labels}, + {CPP_W_INVALID_PCH, OPT_Winvalid_pch}, + {CPP_W_LITERAL_SUFFIX, OPT_Wliteral_suffix}, + {CPP_W_LONG_LONG, OPT_Wlong_long}, + {CPP_W_MISSING_INCLUDE_DIRS, OPT_Wmissing_include_dirs}, + {CPP_W_MULTICHAR, OPT_Wmultichar}, + {CPP_W_NORMALIZE, OPT_Wnormalized_}, + {CPP_W_PEDANTIC, OPT_Wpedantic}, + {CPP_W_TRADITIONAL, OPT_Wtraditional}, + {CPP_W_TRIGRAPHS, OPT_Wtrigraphs}, + {CPP_W_UNDEF, OPT_Wundef}, + {CPP_W_UNUSED_MACROS, OPT_Wunused_macros}, + {CPP_W_VARIADIC_MACROS, OPT_Wvariadic_macros}, + {CPP_W_NONE, 0}, +}; +#endif + +#endif /* OPTIONS_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/tconfig.h b/contrib/toolchain/gcc/5x/gcc/tconfig.h new file mode 100644 index 0000000000..9b2058d186 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/tconfig.h @@ -0,0 +1,11 @@ +#ifndef GCC_TCONFIG_H +#define GCC_TCONFIG_H +#ifndef USED_FOR_TARGET +# define USED_FOR_TARGET +#endif +#include "auto-host.h" +#ifdef IN_GCC +# include "ansidecl.h" +# include "config/i386/xm-mingw32.h" +#endif +#endif /* GCC_TCONFIG_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/tm.h b/contrib/toolchain/gcc/5x/gcc/tm.h new file mode 100644 index 0000000000..febbfaf9f7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/tm.h @@ -0,0 +1,37 @@ +#ifndef GCC_TM_H +#define GCC_TM_H +#ifndef LIBC_GLIBC +# define LIBC_GLIBC 1 +#endif +#ifndef LIBC_UCLIBC +# define LIBC_UCLIBC 2 +#endif +#ifndef LIBC_BIONIC +# define LIBC_BIONIC 3 +#endif +#ifdef IN_GCC +# include "options.h" +# include "insn-constants.h" +# include "config/vxworks-dummy.h" +# include "config/i386/i386.h" +# include "config/i386/unix.h" +# include "config/i386/bsd.h" +# include "config/i386/gas.h" +# include "config/dbxcoff.h" +# include "config/i386/cygming.h" +# include "config/i386/mingw32.h" +# include "config/i386/mingw-stdint.h" +# include "config/initfini-array.h" +# include "config/tm-dwarf2.h" +#endif +#if defined IN_GCC && !defined GENERATOR_FILE && !defined USED_FOR_TARGET +# include "insn-flags.h" +#endif +#if defined IN_GCC && !defined GENERATOR_FILE +# include "insn-modes.h" +#endif +#if defined IN_GCC && defined GENERATOR_FILE && !defined BITS_PER_UNIT +#include "machmode.h" +#endif +# include "defaults.h" +#endif /* GCC_TM_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/tsystem.h b/contrib/toolchain/gcc/5x/gcc/tsystem.h new file mode 100644 index 0000000000..be16ef0a89 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/tsystem.h @@ -0,0 +1,137 @@ +/* Get common system includes and various definitions and declarations + based on target macros. + Copyright (C) 2000-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_TSYSTEM_H +#define GCC_TSYSTEM_H + +/* System headers (e.g. stdio.h, stdlib.h, unistd.h) sometimes + indirectly include getopt.h. Our -I flags will cause gcc's gnu + getopt.h to be included, not the platform's copy. In the default + case, gnu getopt.h will provide us with a no-argument prototype + which will generate -Wstrict-prototypes warnings. None of the + target files actually use getopt, so it is safe to tell gnu + getopt.h we never need this prototype. */ +#ifndef HAVE_DECL_GETOPT +#define HAVE_DECL_GETOPT 1 +#endif + +/* We want everything from the glibc headers. */ +#define _GNU_SOURCE 1 + +/* GCC supplies these headers. */ +#include +#include + +#ifdef inhibit_libc + +#ifndef malloc +extern void *malloc (size_t); +#endif + +#ifndef free +extern void free (void *); +#endif + +#ifndef atexit +extern int atexit (void (*)(void)); +#endif + +#ifndef abort +extern void abort (void) __attribute__ ((__noreturn__)); +#endif + +#ifndef strlen +extern size_t strlen (const char *); +#endif + +#ifndef memcpy +extern void *memcpy (void *, const void *, size_t); +#endif + +#ifndef memset +extern void *memset (void *, int, size_t); +#endif + +#else /* ! inhibit_libc */ +/* We disable this when inhibit_libc, so that gcc can still be built without + needing header files first. */ +/* ??? This is not a good solution, since prototypes may be required in + some cases for correct code. */ + +/* GCC supplies this header. */ +#include + +/* All systems have this header. */ +#include + +/* All systems have this header. */ +#include + +/* All systems have this header. */ +#include + +#ifndef errno +extern int errno; +#endif + +/* If these system headers do not exist, fixincludes must create them. */ +#include +#include +#include + +/* GCC supplies this header. */ +#include + +/* If these system headers do not exist, fixincludes must create them. */ +#include + +#endif /* inhibit_libc */ + +/* Define a generic NULL if one hasn't already been defined. */ +#ifndef NULL +#define NULL 0 +#endif + +/* GCC always provides __builtin_alloca(x). */ +#undef alloca +#define alloca(x) __builtin_alloca(x) + +#ifdef ENABLE_RUNTIME_CHECKING +#define gcc_assert(EXPR) ((void)(!(EXPR) ? abort (), 0 : 0)) +#else +/* Include EXPR, so that unused variable warnings do not occur. */ +#define gcc_assert(EXPR) ((void)(0 && (EXPR))) +#endif +/* Use gcc_unreachable() to mark unreachable locations (like an + unreachable default case of a switch. Do not use gcc_assert(0). */ +#define gcc_unreachable() (abort ()) + +#define CONST_CAST2(TOTYPE,FROMTYPE,X) ((__extension__(union {FROMTYPE _q; TOTYPE _nq;})(X))._nq) +#define CONST_CAST(TYPE,X) CONST_CAST2 (TYPE, const TYPE, (X)) + +/* Filename handling macros. */ +#include "filenames.h" + +#endif /* ! GCC_TSYSTEM_H */ diff --git a/contrib/toolchain/gcc/5x/gcc/vxworks-dummy.h b/contrib/toolchain/gcc/5x/gcc/vxworks-dummy.h new file mode 100644 index 0000000000..2b5ddcccc7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/gcc/vxworks-dummy.h @@ -0,0 +1,40 @@ +/* Dummy definitions of VxWorks-related macros + Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* True if we're targeting VxWorks. */ +#ifndef TARGET_VXWORKS +#define TARGET_VXWORKS 0 +#endif + +/* True if generating code for a VxWorks RTP. */ +#ifndef TARGET_VXWORKS_RTP +#define TARGET_VXWORKS_RTP false +#endif + +/* The symbol that points to an RTP's table of GOTs. */ +#define VXWORKS_GOTT_BASE (gcc_unreachable (), "") + +/* The symbol that holds the index of the current module's GOT in + VXWORKS_GOTT_BASE. */ +#define VXWORKS_GOTT_INDEX (gcc_unreachable (), "") diff --git a/contrib/toolchain/gcc/5x/include/filenames.h b/contrib/toolchain/gcc/5x/include/filenames.h new file mode 100644 index 0000000000..470c5e091a --- /dev/null +++ b/contrib/toolchain/gcc/5x/include/filenames.h @@ -0,0 +1,99 @@ +/* Macros for taking apart, interpreting and processing file names. + + These are here because some non-Posix (a.k.a. DOSish) systems have + drive letter brain-damage at the beginning of an absolute file name, + use forward- and back-slash in path names interchangeably, and + some of them have case-insensitive file names. + + Copyright 2000, 2001, 2007, 2010 Free Software Foundation, Inc. + +This file is part of BFD, the Binary File Descriptor library. + +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or +(at your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with this program; if not, write to the Free Software +Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */ + +#ifndef FILENAMES_H +#define FILENAMES_H + +#include "hashtab.h" /* for hashval_t */ + +#ifdef __cplusplus +extern "C" { +#endif + +#if defined(__MSDOS__) || defined(_WIN32) || defined(__OS2__) || defined (__CYGWIN__) +# ifndef HAVE_DOS_BASED_FILE_SYSTEM +# define HAVE_DOS_BASED_FILE_SYSTEM 1 +# endif +# ifndef HAVE_CASE_INSENSITIVE_FILE_SYSTEM +# define HAVE_CASE_INSENSITIVE_FILE_SYSTEM 1 +# endif +# define HAS_DRIVE_SPEC(f) HAS_DOS_DRIVE_SPEC (f) +# define IS_DIR_SEPARATOR(c) IS_DOS_DIR_SEPARATOR (c) +# define IS_ABSOLUTE_PATH(f) IS_DOS_ABSOLUTE_PATH (f) +#else /* not DOSish */ +# if defined(__APPLE__) +# ifndef HAVE_CASE_INSENSITIVE_FILE_SYSTEM +# define HAVE_CASE_INSENSITIVE_FILE_SYSTEM 1 +# endif +# endif /* __APPLE__ */ +# define HAS_DRIVE_SPEC(f) (0) +# define IS_DIR_SEPARATOR(c) IS_UNIX_DIR_SEPARATOR (c) +# define IS_ABSOLUTE_PATH(f) IS_UNIX_ABSOLUTE_PATH (f) +#endif + +#define IS_DIR_SEPARATOR_1(dos_based, c) \ + (((c) == '/') \ + || (((c) == '\\') && (dos_based))) + +#define HAS_DRIVE_SPEC_1(dos_based, f) \ + ((f)[0] && ((f)[1] == ':') && (dos_based)) + +/* Remove the drive spec from F, assuming HAS_DRIVE_SPEC (f). + The result is a pointer to the remainder of F. */ +#define STRIP_DRIVE_SPEC(f) ((f) + 2) + +#define IS_DOS_DIR_SEPARATOR(c) IS_DIR_SEPARATOR_1 (1, c) +#define IS_DOS_ABSOLUTE_PATH(f) IS_ABSOLUTE_PATH_1 (1, f) +#define HAS_DOS_DRIVE_SPEC(f) HAS_DRIVE_SPEC_1 (1, f) + +#define IS_UNIX_DIR_SEPARATOR(c) IS_DIR_SEPARATOR_1 (0, c) +#define IS_UNIX_ABSOLUTE_PATH(f) IS_ABSOLUTE_PATH_1 (0, f) + +/* Note that when DOS_BASED is true, IS_ABSOLUTE_PATH accepts d:foo as + well, although it is only semi-absolute. This is because the users + of IS_ABSOLUTE_PATH want to know whether to prepend the current + working directory to a file name, which should not be done with a + name like d:foo. */ +#define IS_ABSOLUTE_PATH_1(dos_based, f) \ + (IS_DIR_SEPARATOR_1 (dos_based, (f)[0]) \ + || HAS_DRIVE_SPEC_1 (dos_based, f)) + +extern int filename_cmp (const char *s1, const char *s2); +#define FILENAME_CMP(s1, s2) filename_cmp(s1, s2) + +extern int filename_ncmp (const char *s1, const char *s2, + size_t n); + +extern hashval_t filename_hash (const void *s); + +extern int filename_eq (const void *s1, const void *s2); + +extern int canonical_filename_eq (const char *a, const char *b); + +#ifdef __cplusplus +} +#endif + +#endif /* FILENAMES_H */ diff --git a/contrib/toolchain/gcc/5x/include/hashtab.h b/contrib/toolchain/gcc/5x/include/hashtab.h new file mode 100644 index 0000000000..188b8494db --- /dev/null +++ b/contrib/toolchain/gcc/5x/include/hashtab.h @@ -0,0 +1,205 @@ +/* An expandable hash tables datatype. + Copyright (C) 1999, 2000, 2002, 2003, 2004, 2005, 2009, 2010 + Free Software Foundation, Inc. + Contributed by Vladimir Makarov (vmakarov@cygnus.com). + +This program is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 2 of the License, or +(at your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with this program; if not, write to the Free Software +Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA 02110-1301, USA. */ + +/* This package implements basic hash table functionality. It is possible + to search for an entry, create an entry and destroy an entry. + + Elements in the table are generic pointers. + + The size of the table is not fixed; if the occupancy of the table + grows too high the hash table will be expanded. + + The abstract data implementation is based on generalized Algorithm D + from Knuth's book "The art of computer programming". Hash table is + expanded by creation of new hash table and transferring elements from + the old table to the new table. */ + +#ifndef __HASHTAB_H__ +#define __HASHTAB_H__ + +#ifdef __cplusplus +extern "C" { +#endif /* __cplusplus */ + +#include "ansidecl.h" + +/* The type for a hash code. */ +typedef unsigned int hashval_t; + +/* Callback function pointer types. */ + +/* Calculate hash of a table entry. */ +typedef hashval_t (*htab_hash) (const void *); + +/* Compare a table entry with a possible entry. The entry already in + the table always comes first, so the second element can be of a + different type (but in this case htab_find and htab_find_slot + cannot be used; instead the variants that accept a hash value + must be used). */ +typedef int (*htab_eq) (const void *, const void *); + +/* Cleanup function called whenever a live element is removed from + the hash table. */ +typedef void (*htab_del) (void *); + +/* Function called by htab_traverse for each live element. The first + arg is the slot of the element (which can be passed to htab_clear_slot + if desired), the second arg is the auxiliary pointer handed to + htab_traverse. Return 1 to continue scan, 0 to stop. */ +typedef int (*htab_trav) (void **, void *); + +/* Memory-allocation function, with the same functionality as calloc(). + Iff it returns NULL, the hash table implementation will pass an error + code back to the user, so if your code doesn't handle errors, + best if you use xcalloc instead. */ +typedef void *(*htab_alloc) (size_t, size_t); + +/* We also need a free() routine. */ +typedef void (*htab_free) (void *); + +/* Memory allocation and deallocation; variants which take an extra + argument. */ +typedef void *(*htab_alloc_with_arg) (void *, size_t, size_t); +typedef void (*htab_free_with_arg) (void *, void *); + +/* This macro defines reserved value for empty table entry. */ + +#define HTAB_EMPTY_ENTRY ((PTR) 0) + +/* This macro defines reserved value for table entry which contained + a deleted element. */ + +#define HTAB_DELETED_ENTRY ((PTR) 1) + +/* Hash tables are of the following type. The structure + (implementation) of this type is not needed for using the hash + tables. All work with hash table should be executed only through + functions mentioned below. The size of this structure is subject to + change. */ + +struct htab { + /* Pointer to hash function. */ + htab_hash hash_f; + + /* Pointer to comparison function. */ + htab_eq eq_f; + + /* Pointer to cleanup function. */ + htab_del del_f; + + /* Table itself. */ + void **entries; + + /* Current size (in entries) of the hash table. */ + size_t size; + + /* Current number of elements including also deleted elements. */ + size_t n_elements; + + /* Current number of deleted elements in the table. */ + size_t n_deleted; + + /* The following member is used for debugging. Its value is number + of all calls of `htab_find_slot' for the hash table. */ + unsigned int searches; + + /* The following member is used for debugging. Its value is number + of collisions fixed for time of work with the hash table. */ + unsigned int collisions; + + /* Pointers to allocate/free functions. */ + htab_alloc alloc_f; + htab_free free_f; + + /* Alternate allocate/free functions, which take an extra argument. */ + void *alloc_arg; + htab_alloc_with_arg alloc_with_arg_f; + htab_free_with_arg free_with_arg_f; + + /* Current size (in entries) of the hash table, as an index into the + table of primes. */ + unsigned int size_prime_index; +}; + +typedef struct htab *htab_t; + +/* An enum saying whether we insert into the hash table or not. */ +enum insert_option {NO_INSERT, INSERT}; + +/* The prototypes of the package functions. */ + +extern htab_t htab_create_alloc (size_t, htab_hash, + htab_eq, htab_del, + htab_alloc, htab_free); + +extern htab_t htab_create_alloc_ex (size_t, htab_hash, + htab_eq, htab_del, + void *, htab_alloc_with_arg, + htab_free_with_arg); + +extern htab_t htab_create_typed_alloc (size_t, htab_hash, htab_eq, htab_del, + htab_alloc, htab_alloc, htab_free); + +/* Backward-compatibility functions. */ +extern htab_t htab_create (size_t, htab_hash, htab_eq, htab_del); +extern htab_t htab_try_create (size_t, htab_hash, htab_eq, htab_del); + +extern void htab_set_functions_ex (htab_t, htab_hash, + htab_eq, htab_del, + void *, htab_alloc_with_arg, + htab_free_with_arg); + +extern void htab_delete (htab_t); +extern void htab_empty (htab_t); + +extern void * htab_find (htab_t, const void *); +extern void ** htab_find_slot (htab_t, const void *, enum insert_option); +extern void * htab_find_with_hash (htab_t, const void *, hashval_t); +extern void ** htab_find_slot_with_hash (htab_t, const void *, + hashval_t, enum insert_option); +extern void htab_clear_slot (htab_t, void **); +extern void htab_remove_elt (htab_t, void *); +extern void htab_remove_elt_with_hash (htab_t, void *, hashval_t); + +extern void htab_traverse (htab_t, htab_trav, void *); +extern void htab_traverse_noresize (htab_t, htab_trav, void *); + +extern size_t htab_size (htab_t); +extern size_t htab_elements (htab_t); +extern double htab_collisions (htab_t); + +/* A hash function for pointers. */ +extern htab_hash htab_hash_pointer; + +/* An equality function for pointers. */ +extern htab_eq htab_eq_pointer; + +/* A hash function for null-terminated strings. */ +extern hashval_t htab_hash_string (const void *); + +/* An iterative hash function for arbitrary data. */ +extern hashval_t iterative_hash (const void *, size_t, hashval_t); +/* Shorthand for hashing something with an intrinsic size. */ +#define iterative_hash_object(OB,INIT) iterative_hash (&OB, sizeof (OB), INIT) + +#ifdef __cplusplus +} +#endif /* __cplusplus */ + +#endif /* __HASHTAB_H */ diff --git a/contrib/toolchain/gcc/5x/include/longlong.h b/contrib/toolchain/gcc/5x/include/longlong.h new file mode 100644 index 0000000000..8cd2c79898 --- /dev/null +++ b/contrib/toolchain/gcc/5x/include/longlong.h @@ -0,0 +1,1745 @@ +/* longlong.h -- definitions for mixed size 32/64 bit arithmetic. + Copyright (C) 1991-2014 Free Software Foundation, Inc. + + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +/* You have to define the following before including this file: + + UWtype -- An unsigned type, default type for operations (typically a "word") + UHWtype -- An unsigned type, at least half the size of UWtype. + UDWtype -- An unsigned type, at least twice as large a UWtype + W_TYPE_SIZE -- size in bits of UWtype + + UQItype -- Unsigned 8 bit type. + SItype, USItype -- Signed and unsigned 32 bit types. + DItype, UDItype -- Signed and unsigned 64 bit types. + + On a 32 bit machine UWtype should typically be USItype; + on a 64 bit machine, UWtype should typically be UDItype. */ + +#define __BITS4 (W_TYPE_SIZE / 4) +#define __ll_B ((UWtype) 1 << (W_TYPE_SIZE / 2)) +#define __ll_lowpart(t) ((UWtype) (t) & (__ll_B - 1)) +#define __ll_highpart(t) ((UWtype) (t) >> (W_TYPE_SIZE / 2)) + +#ifndef W_TYPE_SIZE +#define W_TYPE_SIZE 32 +#define UWtype USItype +#define UHWtype USItype +#define UDWtype UDItype +#endif + +/* Used in glibc only. */ +#ifndef attribute_hidden +#define attribute_hidden +#endif + +extern const UQItype __clz_tab[256] attribute_hidden; + +/* Define auxiliary asm macros. + + 1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two + UWtype integers MULTIPLIER and MULTIPLICAND, and generates a two UWtype + word product in HIGH_PROD and LOW_PROD. + + 2) __umulsidi3(a,b) multiplies two UWtype integers A and B, and returns a + UDWtype product. This is just a variant of umul_ppmm. + + 3) udiv_qrnnd(quotient, remainder, high_numerator, low_numerator, + denominator) divides a UDWtype, composed by the UWtype integers + HIGH_NUMERATOR and LOW_NUMERATOR, by DENOMINATOR and places the quotient + in QUOTIENT and the remainder in REMAINDER. HIGH_NUMERATOR must be less + than DENOMINATOR for correct operation. If, in addition, the most + significant bit of DENOMINATOR must be 1, then the pre-processor symbol + UDIV_NEEDS_NORMALIZATION is defined to 1. + + 4) sdiv_qrnnd(quotient, remainder, high_numerator, low_numerator, + denominator). Like udiv_qrnnd but the numbers are signed. The quotient + is rounded towards 0. + + 5) count_leading_zeros(count, x) counts the number of zero-bits from the + msb to the first nonzero bit in the UWtype X. This is the number of + steps X needs to be shifted left to set the msb. Undefined for X == 0, + unless the symbol COUNT_LEADING_ZEROS_0 is defined to some value. + + 6) count_trailing_zeros(count, x) like count_leading_zeros, but counts + from the least significant end. + + 7) add_ssaaaa(high_sum, low_sum, high_addend_1, low_addend_1, + high_addend_2, low_addend_2) adds two UWtype integers, composed by + HIGH_ADDEND_1 and LOW_ADDEND_1, and HIGH_ADDEND_2 and LOW_ADDEND_2 + respectively. The result is placed in HIGH_SUM and LOW_SUM. Overflow + (i.e. carry out) is not stored anywhere, and is lost. + + 8) sub_ddmmss(high_difference, low_difference, high_minuend, low_minuend, + high_subtrahend, low_subtrahend) subtracts two two-word UWtype integers, + composed by HIGH_MINUEND_1 and LOW_MINUEND_1, and HIGH_SUBTRAHEND_2 and + LOW_SUBTRAHEND_2 respectively. The result is placed in HIGH_DIFFERENCE + and LOW_DIFFERENCE. Overflow (i.e. carry out) is not stored anywhere, + and is lost. + + If any of these macros are left undefined for a particular CPU, + C macros are used. */ + +/* The CPUs come in alphabetical order below. + + Please add support for more CPUs here, or improve the current support + for the CPUs below! + (E.g. WE32100, IBM360.) */ + +#if defined (__GNUC__) && !defined (NO_ASM) + +/* We sometimes need to clobber "cc" with gcc2, but that would not be + understood by gcc1. Use cpp to avoid major code duplication. */ +#if __GNUC__ < 2 +#define __CLOBBER_CC +#define __AND_CLOBBER_CC +#else /* __GNUC__ >= 2 */ +#define __CLOBBER_CC : "cc" +#define __AND_CLOBBER_CC , "cc" +#endif /* __GNUC__ < 2 */ + +#if defined (__aarch64__) + +#if W_TYPE_SIZE == 32 +#define count_leading_zeros(COUNT, X) ((COUNT) = __builtin_clz (X)) +#define count_trailing_zeros(COUNT, X) ((COUNT) = __builtin_ctz (X)) +#define COUNT_LEADING_ZEROS_0 32 +#endif /* W_TYPE_SIZE == 32 */ + +#if W_TYPE_SIZE == 64 +#define count_leading_zeros(COUNT, X) ((COUNT) = __builtin_clzll (X)) +#define count_trailing_zeros(COUNT, X) ((COUNT) = __builtin_ctzll (X)) +#define COUNT_LEADING_ZEROS_0 64 +#endif /* W_TYPE_SIZE == 64 */ + +#endif /* __aarch64__ */ + +#if defined (__alpha) && W_TYPE_SIZE == 64 +/* There is a bug in g++ before version 5 that + errors on __builtin_alpha_umulh. */ +#if !defined(__cplusplus) || __GNUC__ >= 5 +#define umul_ppmm(ph, pl, m0, m1) \ + do { \ + UDItype __m0 = (m0), __m1 = (m1); \ + (ph) = __builtin_alpha_umulh (__m0, __m1); \ + (pl) = __m0 * __m1; \ + } while (0) +#define UMUL_TIME 46 +#endif /* !c++ */ +#ifndef LONGLONG_STANDALONE +#define udiv_qrnnd(q, r, n1, n0, d) \ + do { UDItype __r; \ + (q) = __udiv_qrnnd (&__r, (n1), (n0), (d)); \ + (r) = __r; \ + } while (0) +extern UDItype __udiv_qrnnd (UDItype *, UDItype, UDItype, UDItype); +#define UDIV_TIME 220 +#endif /* LONGLONG_STANDALONE */ +#ifdef __alpha_cix__ +#define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clzl (X)) +#define count_trailing_zeros(COUNT,X) ((COUNT) = __builtin_ctzl (X)) +#define COUNT_LEADING_ZEROS_0 64 +#else +#define count_leading_zeros(COUNT,X) \ + do { \ + UDItype __xr = (X), __t, __a; \ + __t = __builtin_alpha_cmpbge (0, __xr); \ + __a = __clz_tab[__t ^ 0xff] - 1; \ + __t = __builtin_alpha_extbl (__xr, __a); \ + (COUNT) = 64 - (__clz_tab[__t] + __a*8); \ + } while (0) +#define count_trailing_zeros(COUNT,X) \ + do { \ + UDItype __xr = (X), __t, __a; \ + __t = __builtin_alpha_cmpbge (0, __xr); \ + __t = ~__t & -~__t; \ + __a = ((__t & 0xCC) != 0) * 2; \ + __a += ((__t & 0xF0) != 0) * 4; \ + __a += ((__t & 0xAA) != 0); \ + __t = __builtin_alpha_extbl (__xr, __a); \ + __a <<= 3; \ + __t &= -__t; \ + __a += ((__t & 0xCC) != 0) * 2; \ + __a += ((__t & 0xF0) != 0) * 4; \ + __a += ((__t & 0xAA) != 0); \ + (COUNT) = __a; \ + } while (0) +#endif /* __alpha_cix__ */ +#endif /* __alpha */ + +#if defined (__arc__) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("add.f %1, %4, %5\n\tadc %0, %2, %3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%r" ((USItype) (ah)), \ + "rIJ" ((USItype) (bh)), \ + "%r" ((USItype) (al)), \ + "rIJ" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("sub.f %1, %4, %5\n\tsbc %0, %2, %3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "r" ((USItype) (ah)), \ + "rIJ" ((USItype) (bh)), \ + "r" ((USItype) (al)), \ + "rIJ" ((USItype) (bl))) + +#define __umulsidi3(u,v) ((UDItype)(USItype)u*(USItype)v) +#ifdef __ARC_NORM__ +#define count_leading_zeros(count, x) \ + do \ + { \ + SItype c_; \ + \ + __asm__ ("norm.f\t%0,%1\n\tmov.mi\t%0,-1" : "=r" (c_) : "r" (x) : "cc");\ + (count) = c_ + 1; \ + } \ + while (0) +#define COUNT_LEADING_ZEROS_0 32 +#endif +#endif + +#if defined (__arm__) && (defined (__thumb2__) || !defined (__thumb__)) \ + && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("adds %1, %4, %5\n\tadc %0, %2, %3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%r" ((USItype) (ah)), \ + "rI" ((USItype) (bh)), \ + "%r" ((USItype) (al)), \ + "rI" ((USItype) (bl)) __CLOBBER_CC) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("subs %1, %4, %5\n\tsbc %0, %2, %3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "r" ((USItype) (ah)), \ + "rI" ((USItype) (bh)), \ + "r" ((USItype) (al)), \ + "rI" ((USItype) (bl)) __CLOBBER_CC) +# if defined(__ARM_ARCH_2__) || defined(__ARM_ARCH_2A__) \ + || defined(__ARM_ARCH_3__) +# define umul_ppmm(xh, xl, a, b) \ + do { \ + register USItype __t0, __t1, __t2; \ + __asm__ ("%@ Inlined umul_ppmm\n" \ + " mov %2, %5, lsr #16\n" \ + " mov %0, %6, lsr #16\n" \ + " bic %3, %5, %2, lsl #16\n" \ + " bic %4, %6, %0, lsl #16\n" \ + " mul %1, %3, %4\n" \ + " mul %4, %2, %4\n" \ + " mul %3, %0, %3\n" \ + " mul %0, %2, %0\n" \ + " adds %3, %4, %3\n" \ + " addcs %0, %0, #65536\n" \ + " adds %1, %1, %3, lsl #16\n" \ + " adc %0, %0, %3, lsr #16" \ + : "=&r" ((USItype) (xh)), \ + "=r" ((USItype) (xl)), \ + "=&r" (__t0), "=&r" (__t1), "=r" (__t2) \ + : "r" ((USItype) (a)), \ + "r" ((USItype) (b)) __CLOBBER_CC ); \ + } while (0) +# define UMUL_TIME 20 +# else +# define umul_ppmm(xh, xl, a, b) \ + do { \ + /* Generate umull, under compiler control. */ \ + register UDItype __t0 = (UDItype)(USItype)(a) * (USItype)(b); \ + (xl) = (USItype)__t0; \ + (xh) = (USItype)(__t0 >> 32); \ + } while (0) +# define UMUL_TIME 3 +# endif +# define UDIV_TIME 100 +#endif /* __arm__ */ + +#if defined(__arm__) +/* Let gcc decide how best to implement count_leading_zeros. */ +#define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clz (X)) +#define count_trailing_zeros(COUNT,X) ((COUNT) = __builtin_ctz (X)) +#define COUNT_LEADING_ZEROS_0 32 +#endif + +#if defined (__AVR__) + +#if W_TYPE_SIZE == 16 +#define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clz (X)) +#define count_trailing_zeros(COUNT,X) ((COUNT) = __builtin_ctz (X)) +#define COUNT_LEADING_ZEROS_0 16 +#endif /* W_TYPE_SIZE == 16 */ + +#if W_TYPE_SIZE == 32 +#define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clzl (X)) +#define count_trailing_zeros(COUNT,X) ((COUNT) = __builtin_ctzl (X)) +#define COUNT_LEADING_ZEROS_0 32 +#endif /* W_TYPE_SIZE == 32 */ + +#if W_TYPE_SIZE == 64 +#define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clzll (X)) +#define count_trailing_zeros(COUNT,X) ((COUNT) = __builtin_ctzll (X)) +#define COUNT_LEADING_ZEROS_0 64 +#endif /* W_TYPE_SIZE == 64 */ + +#endif /* defined (__AVR__) */ + +#if defined (__CRIS__) + +#if __CRIS_arch_version >= 3 +#define count_leading_zeros(COUNT, X) ((COUNT) = __builtin_clz (X)) +#define COUNT_LEADING_ZEROS_0 32 +#endif /* __CRIS_arch_version >= 3 */ + +#if __CRIS_arch_version >= 8 +#define count_trailing_zeros(COUNT, X) ((COUNT) = __builtin_ctz (X)) +#endif /* __CRIS_arch_version >= 8 */ + +#if __CRIS_arch_version >= 10 +#define __umulsidi3(u,v) ((UDItype)(USItype) (u) * (UDItype)(USItype) (v)) +#else +#define __umulsidi3 __umulsidi3 +extern UDItype __umulsidi3 (USItype, USItype); +#endif /* __CRIS_arch_version >= 10 */ + +#define umul_ppmm(w1, w0, u, v) \ + do { \ + UDItype __x = __umulsidi3 (u, v); \ + (w0) = (USItype) (__x); \ + (w1) = (USItype) (__x >> 32); \ + } while (0) + +/* FIXME: defining add_ssaaaa and sub_ddmmss should be advantageous for + DFmode ("double" intrinsics, avoiding two of the three insns handling + carry), but defining them as open-code C composing and doing the + operation in DImode (UDImode) shows that the DImode needs work: + register pressure from requiring neighboring registers and the + traffic to and from them come to dominate, in the 4.7 series. */ + +#endif /* defined (__CRIS__) */ + +#if defined (__hppa) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("add %4,%5,%1\n\taddc %2,%3,%0" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%rM" ((USItype) (ah)), \ + "rM" ((USItype) (bh)), \ + "%rM" ((USItype) (al)), \ + "rM" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("sub %4,%5,%1\n\tsubb %2,%3,%0" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "rM" ((USItype) (ah)), \ + "rM" ((USItype) (bh)), \ + "rM" ((USItype) (al)), \ + "rM" ((USItype) (bl))) +#if defined (_PA_RISC1_1) +#define umul_ppmm(w1, w0, u, v) \ + do { \ + union \ + { \ + UDItype __f; \ + struct {USItype __w1, __w0;} __w1w0; \ + } __t; \ + __asm__ ("xmpyu %1,%2,%0" \ + : "=x" (__t.__f) \ + : "x" ((USItype) (u)), \ + "x" ((USItype) (v))); \ + (w1) = __t.__w1w0.__w1; \ + (w0) = __t.__w1w0.__w0; \ + } while (0) +#define UMUL_TIME 8 +#else +#define UMUL_TIME 30 +#endif +#define UDIV_TIME 40 +#define count_leading_zeros(count, x) \ + do { \ + USItype __tmp; \ + __asm__ ( \ + "ldi 1,%0\n" \ +" extru,= %1,15,16,%%r0 ; Bits 31..16 zero?\n" \ +" extru,tr %1,15,16,%1 ; No. Shift down, skip add.\n"\ +" ldo 16(%0),%0 ; Yes. Perform add.\n" \ +" extru,= %1,23,8,%%r0 ; Bits 15..8 zero?\n" \ +" extru,tr %1,23,8,%1 ; No. Shift down, skip add.\n"\ +" ldo 8(%0),%0 ; Yes. Perform add.\n" \ +" extru,= %1,27,4,%%r0 ; Bits 7..4 zero?\n" \ +" extru,tr %1,27,4,%1 ; No. Shift down, skip add.\n"\ +" ldo 4(%0),%0 ; Yes. Perform add.\n" \ +" extru,= %1,29,2,%%r0 ; Bits 3..2 zero?\n" \ +" extru,tr %1,29,2,%1 ; No. Shift down, skip add.\n"\ +" ldo 2(%0),%0 ; Yes. Perform add.\n" \ +" extru %1,30,1,%1 ; Extract bit 1.\n" \ +" sub %0,%1,%0 ; Subtract it.\n" \ + : "=r" (count), "=r" (__tmp) : "1" (x)); \ + } while (0) +#endif + +#if (defined (__i370__) || defined (__s390__) || defined (__mvs__)) && W_TYPE_SIZE == 32 +#if !defined (__zarch__) +#define smul_ppmm(xh, xl, m0, m1) \ + do { \ + union {DItype __ll; \ + struct {USItype __h, __l;} __i; \ + } __x; \ + __asm__ ("lr %N0,%1\n\tmr %0,%2" \ + : "=&r" (__x.__ll) \ + : "r" (m0), "r" (m1)); \ + (xh) = __x.__i.__h; (xl) = __x.__i.__l; \ + } while (0) +#define sdiv_qrnnd(q, r, n1, n0, d) \ + do { \ + union {DItype __ll; \ + struct {USItype __h, __l;} __i; \ + } __x; \ + __x.__i.__h = n1; __x.__i.__l = n0; \ + __asm__ ("dr %0,%2" \ + : "=r" (__x.__ll) \ + : "0" (__x.__ll), "r" (d)); \ + (q) = __x.__i.__l; (r) = __x.__i.__h; \ + } while (0) +#else +#define smul_ppmm(xh, xl, m0, m1) \ + do { \ + register SItype __r0 __asm__ ("0"); \ + register SItype __r1 __asm__ ("1") = (m0); \ + \ + __asm__ ("mr\t%%r0,%3" \ + : "=r" (__r0), "=r" (__r1) \ + : "r" (__r1), "r" (m1)); \ + (xh) = __r0; (xl) = __r1; \ + } while (0) + +#define sdiv_qrnnd(q, r, n1, n0, d) \ + do { \ + register SItype __r0 __asm__ ("0") = (n1); \ + register SItype __r1 __asm__ ("1") = (n0); \ + \ + __asm__ ("dr\t%%r0,%4" \ + : "=r" (__r0), "=r" (__r1) \ + : "r" (__r0), "r" (__r1), "r" (d)); \ + (q) = __r1; (r) = __r0; \ + } while (0) +#endif /* __zarch__ */ +#endif + +#if (defined (__i386__) || defined (__i486__)) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("add{l} {%5,%1|%1,%5}\n\tadc{l} {%3,%0|%0,%3}" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%0" ((USItype) (ah)), \ + "g" ((USItype) (bh)), \ + "%1" ((USItype) (al)), \ + "g" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("sub{l} {%5,%1|%1,%5}\n\tsbb{l} {%3,%0|%0,%3}" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "0" ((USItype) (ah)), \ + "g" ((USItype) (bh)), \ + "1" ((USItype) (al)), \ + "g" ((USItype) (bl))) +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ("mul{l} %3" \ + : "=a" ((USItype) (w0)), \ + "=d" ((USItype) (w1)) \ + : "%0" ((USItype) (u)), \ + "rm" ((USItype) (v))) +#define udiv_qrnnd(q, r, n1, n0, dv) \ + __asm__ ("div{l} %4" \ + : "=a" ((USItype) (q)), \ + "=d" ((USItype) (r)) \ + : "0" ((USItype) (n0)), \ + "1" ((USItype) (n1)), \ + "rm" ((USItype) (dv))) +#define count_leading_zeros(count, x) ((count) = __builtin_clz (x)) +#define count_trailing_zeros(count, x) ((count) = __builtin_ctz (x)) +#define UMUL_TIME 40 +#define UDIV_TIME 40 +#endif /* 80x86 */ + +#if defined (__x86_64__) && W_TYPE_SIZE == 64 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("add{q} {%5,%1|%1,%5}\n\tadc{q} {%3,%0|%0,%3}" \ + : "=r" ((UDItype) (sh)), \ + "=&r" ((UDItype) (sl)) \ + : "%0" ((UDItype) (ah)), \ + "rme" ((UDItype) (bh)), \ + "%1" ((UDItype) (al)), \ + "rme" ((UDItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("sub{q} {%5,%1|%1,%5}\n\tsbb{q} {%3,%0|%0,%3}" \ + : "=r" ((UDItype) (sh)), \ + "=&r" ((UDItype) (sl)) \ + : "0" ((UDItype) (ah)), \ + "rme" ((UDItype) (bh)), \ + "1" ((UDItype) (al)), \ + "rme" ((UDItype) (bl))) +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ("mul{q} %3" \ + : "=a" ((UDItype) (w0)), \ + "=d" ((UDItype) (w1)) \ + : "%0" ((UDItype) (u)), \ + "rm" ((UDItype) (v))) +#define udiv_qrnnd(q, r, n1, n0, dv) \ + __asm__ ("div{q} %4" \ + : "=a" ((UDItype) (q)), \ + "=d" ((UDItype) (r)) \ + : "0" ((UDItype) (n0)), \ + "1" ((UDItype) (n1)), \ + "rm" ((UDItype) (dv))) +#define count_leading_zeros(count, x) ((count) = __builtin_clzll (x)) +#define count_trailing_zeros(count, x) ((count) = __builtin_ctzll (x)) +#define UMUL_TIME 40 +#define UDIV_TIME 40 +#endif /* x86_64 */ + +#if defined (__i960__) && W_TYPE_SIZE == 32 +#define umul_ppmm(w1, w0, u, v) \ + ({union {UDItype __ll; \ + struct {USItype __l, __h;} __i; \ + } __xx; \ + __asm__ ("emul %2,%1,%0" \ + : "=d" (__xx.__ll) \ + : "%dI" ((USItype) (u)), \ + "dI" ((USItype) (v))); \ + (w1) = __xx.__i.__h; (w0) = __xx.__i.__l;}) +#define __umulsidi3(u, v) \ + ({UDItype __w; \ + __asm__ ("emul %2,%1,%0" \ + : "=d" (__w) \ + : "%dI" ((USItype) (u)), \ + "dI" ((USItype) (v))); \ + __w; }) +#endif /* __i960__ */ + +#if defined (__ia64) && W_TYPE_SIZE == 64 +/* This form encourages gcc (pre-release 3.4 at least) to emit predicated + "sub r=r,r" and "sub r=r,r,1", giving a 2 cycle latency. The generic + code using "al>= _c; \ + if (_x >= 1 << 4) \ + _x >>= 4, _c += 4; \ + if (_x >= 1 << 2) \ + _x >>= 2, _c += 2; \ + _c += _x >> 1; \ + (count) = W_TYPE_SIZE - 1 - _c; \ + } while (0) +/* similar to what gcc does for __builtin_ffs, but 0 based rather than 1 + based, and we don't need a special case for x==0 here */ +#define count_trailing_zeros(count, x) \ + do { \ + UWtype __ctz_x = (x); \ + __asm__ ("popcnt %0 = %1" \ + : "=r" (count) \ + : "r" ((__ctz_x-1) & ~__ctz_x)); \ + } while (0) +#define UMUL_TIME 14 +#endif + +#if defined (__M32R__) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + /* The cmp clears the condition bit. */ \ + __asm__ ("cmp %0,%0\n\taddx %1,%5\n\taddx %0,%3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "0" ((USItype) (ah)), \ + "r" ((USItype) (bh)), \ + "1" ((USItype) (al)), \ + "r" ((USItype) (bl)) \ + : "cbit") +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + /* The cmp clears the condition bit. */ \ + __asm__ ("cmp %0,%0\n\tsubx %1,%5\n\tsubx %0,%3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "0" ((USItype) (ah)), \ + "r" ((USItype) (bh)), \ + "1" ((USItype) (al)), \ + "r" ((USItype) (bl)) \ + : "cbit") +#endif /* __M32R__ */ + +#if defined (__mc68000__) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("add%.l %5,%1\n\taddx%.l %3,%0" \ + : "=d" ((USItype) (sh)), \ + "=&d" ((USItype) (sl)) \ + : "%0" ((USItype) (ah)), \ + "d" ((USItype) (bh)), \ + "%1" ((USItype) (al)), \ + "g" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("sub%.l %5,%1\n\tsubx%.l %3,%0" \ + : "=d" ((USItype) (sh)), \ + "=&d" ((USItype) (sl)) \ + : "0" ((USItype) (ah)), \ + "d" ((USItype) (bh)), \ + "1" ((USItype) (al)), \ + "g" ((USItype) (bl))) + +/* The '020, '030, '040, '060 and CPU32 have 32x32->64 and 64/32->32q-32r. */ +#if (defined (__mc68020__) && !defined (__mc68060__)) +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ("mulu%.l %3,%1:%0" \ + : "=d" ((USItype) (w0)), \ + "=d" ((USItype) (w1)) \ + : "%0" ((USItype) (u)), \ + "dmi" ((USItype) (v))) +#define UMUL_TIME 45 +#define udiv_qrnnd(q, r, n1, n0, d) \ + __asm__ ("divu%.l %4,%1:%0" \ + : "=d" ((USItype) (q)), \ + "=d" ((USItype) (r)) \ + : "0" ((USItype) (n0)), \ + "1" ((USItype) (n1)), \ + "dmi" ((USItype) (d))) +#define UDIV_TIME 90 +#define sdiv_qrnnd(q, r, n1, n0, d) \ + __asm__ ("divs%.l %4,%1:%0" \ + : "=d" ((USItype) (q)), \ + "=d" ((USItype) (r)) \ + : "0" ((USItype) (n0)), \ + "1" ((USItype) (n1)), \ + "dmi" ((USItype) (d))) + +#elif defined (__mcoldfire__) /* not mc68020 */ + +#define umul_ppmm(xh, xl, a, b) \ + __asm__ ("| Inlined umul_ppmm\n" \ + " move%.l %2,%/d0\n" \ + " move%.l %3,%/d1\n" \ + " move%.l %/d0,%/d2\n" \ + " swap %/d0\n" \ + " move%.l %/d1,%/d3\n" \ + " swap %/d1\n" \ + " move%.w %/d2,%/d4\n" \ + " mulu %/d3,%/d4\n" \ + " mulu %/d1,%/d2\n" \ + " mulu %/d0,%/d3\n" \ + " mulu %/d0,%/d1\n" \ + " move%.l %/d4,%/d0\n" \ + " clr%.w %/d0\n" \ + " swap %/d0\n" \ + " add%.l %/d0,%/d2\n" \ + " add%.l %/d3,%/d2\n" \ + " jcc 1f\n" \ + " add%.l %#65536,%/d1\n" \ + "1: swap %/d2\n" \ + " moveq %#0,%/d0\n" \ + " move%.w %/d2,%/d0\n" \ + " move%.w %/d4,%/d2\n" \ + " move%.l %/d2,%1\n" \ + " add%.l %/d1,%/d0\n" \ + " move%.l %/d0,%0" \ + : "=g" ((USItype) (xh)), \ + "=g" ((USItype) (xl)) \ + : "g" ((USItype) (a)), \ + "g" ((USItype) (b)) \ + : "d0", "d1", "d2", "d3", "d4") +#define UMUL_TIME 100 +#define UDIV_TIME 400 +#else /* not ColdFire */ +/* %/ inserts REGISTER_PREFIX, %# inserts IMMEDIATE_PREFIX. */ +#define umul_ppmm(xh, xl, a, b) \ + __asm__ ("| Inlined umul_ppmm\n" \ + " move%.l %2,%/d0\n" \ + " move%.l %3,%/d1\n" \ + " move%.l %/d0,%/d2\n" \ + " swap %/d0\n" \ + " move%.l %/d1,%/d3\n" \ + " swap %/d1\n" \ + " move%.w %/d2,%/d4\n" \ + " mulu %/d3,%/d4\n" \ + " mulu %/d1,%/d2\n" \ + " mulu %/d0,%/d3\n" \ + " mulu %/d0,%/d1\n" \ + " move%.l %/d4,%/d0\n" \ + " eor%.w %/d0,%/d0\n" \ + " swap %/d0\n" \ + " add%.l %/d0,%/d2\n" \ + " add%.l %/d3,%/d2\n" \ + " jcc 1f\n" \ + " add%.l %#65536,%/d1\n" \ + "1: swap %/d2\n" \ + " moveq %#0,%/d0\n" \ + " move%.w %/d2,%/d0\n" \ + " move%.w %/d4,%/d2\n" \ + " move%.l %/d2,%1\n" \ + " add%.l %/d1,%/d0\n" \ + " move%.l %/d0,%0" \ + : "=g" ((USItype) (xh)), \ + "=g" ((USItype) (xl)) \ + : "g" ((USItype) (a)), \ + "g" ((USItype) (b)) \ + : "d0", "d1", "d2", "d3", "d4") +#define UMUL_TIME 100 +#define UDIV_TIME 400 + +#endif /* not mc68020 */ + +/* The '020, '030, '040 and '060 have bitfield insns. + cpu32 disguises as a 68020, but lacks them. */ +#if defined (__mc68020__) && !defined (__mcpu32__) +#define count_leading_zeros(count, x) \ + __asm__ ("bfffo %1{%b2:%b2},%0" \ + : "=d" ((USItype) (count)) \ + : "od" ((USItype) (x)), "n" (0)) +/* Some ColdFire architectures have a ff1 instruction supported via + __builtin_clz. */ +#elif defined (__mcfisaaplus__) || defined (__mcfisac__) +#define count_leading_zeros(count,x) ((count) = __builtin_clz (x)) +#define COUNT_LEADING_ZEROS_0 32 +#endif +#endif /* mc68000 */ + +#if defined (__m88000__) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("addu.co %1,%r4,%r5\n\taddu.ci %0,%r2,%r3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%rJ" ((USItype) (ah)), \ + "rJ" ((USItype) (bh)), \ + "%rJ" ((USItype) (al)), \ + "rJ" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("subu.co %1,%r4,%r5\n\tsubu.ci %0,%r2,%r3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "rJ" ((USItype) (ah)), \ + "rJ" ((USItype) (bh)), \ + "rJ" ((USItype) (al)), \ + "rJ" ((USItype) (bl))) +#define count_leading_zeros(count, x) \ + do { \ + USItype __cbtmp; \ + __asm__ ("ff1 %0,%1" \ + : "=r" (__cbtmp) \ + : "r" ((USItype) (x))); \ + (count) = __cbtmp ^ 31; \ + } while (0) +#define COUNT_LEADING_ZEROS_0 63 /* sic */ +#if defined (__mc88110__) +#define umul_ppmm(wh, wl, u, v) \ + do { \ + union {UDItype __ll; \ + struct {USItype __h, __l;} __i; \ + } __xx; \ + __asm__ ("mulu.d %0,%1,%2" \ + : "=r" (__xx.__ll) \ + : "r" ((USItype) (u)), \ + "r" ((USItype) (v))); \ + (wh) = __xx.__i.__h; \ + (wl) = __xx.__i.__l; \ + } while (0) +#define udiv_qrnnd(q, r, n1, n0, d) \ + ({union {UDItype __ll; \ + struct {USItype __h, __l;} __i; \ + } __xx; \ + USItype __q; \ + __xx.__i.__h = (n1); __xx.__i.__l = (n0); \ + __asm__ ("divu.d %0,%1,%2" \ + : "=r" (__q) \ + : "r" (__xx.__ll), \ + "r" ((USItype) (d))); \ + (r) = (n0) - __q * (d); (q) = __q; }) +#define UMUL_TIME 5 +#define UDIV_TIME 25 +#else +#define UMUL_TIME 17 +#define UDIV_TIME 150 +#endif /* __mc88110__ */ +#endif /* __m88000__ */ + +#if defined (__mn10300__) +# if defined (__AM33__) +# define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clz (X)) +# define umul_ppmm(w1, w0, u, v) \ + asm("mulu %3,%2,%1,%0" : "=r"(w0), "=r"(w1) : "r"(u), "r"(v)) +# define smul_ppmm(w1, w0, u, v) \ + asm("mul %3,%2,%1,%0" : "=r"(w0), "=r"(w1) : "r"(u), "r"(v)) +# else +# define umul_ppmm(w1, w0, u, v) \ + asm("nop; nop; mulu %3,%0" : "=d"(w0), "=z"(w1) : "%0"(u), "d"(v)) +# define smul_ppmm(w1, w0, u, v) \ + asm("nop; nop; mul %3,%0" : "=d"(w0), "=z"(w1) : "%0"(u), "d"(v)) +# endif +# define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + do { \ + DWunion __s, __a, __b; \ + __a.s.low = (al); __a.s.high = (ah); \ + __b.s.low = (bl); __b.s.high = (bh); \ + __s.ll = __a.ll + __b.ll; \ + (sl) = __s.s.low; (sh) = __s.s.high; \ + } while (0) +# define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + do { \ + DWunion __s, __a, __b; \ + __a.s.low = (al); __a.s.high = (ah); \ + __b.s.low = (bl); __b.s.high = (bh); \ + __s.ll = __a.ll - __b.ll; \ + (sl) = __s.s.low; (sh) = __s.s.high; \ + } while (0) +# define udiv_qrnnd(q, r, nh, nl, d) \ + asm("divu %2,%0" : "=D"(q), "=z"(r) : "D"(d), "0"(nl), "1"(nh)) +# define sdiv_qrnnd(q, r, nh, nl, d) \ + asm("div %2,%0" : "=D"(q), "=z"(r) : "D"(d), "0"(nl), "1"(nh)) +# define UMUL_TIME 3 +# define UDIV_TIME 38 +#endif + +#if defined (__mips__) && W_TYPE_SIZE == 32 +#define umul_ppmm(w1, w0, u, v) \ + do { \ + UDItype __x = (UDItype) (USItype) (u) * (USItype) (v); \ + (w1) = (USItype) (__x >> 32); \ + (w0) = (USItype) (__x); \ + } while (0) +#define UMUL_TIME 10 +#define UDIV_TIME 100 + +#if (__mips == 32 || __mips == 64) && ! defined (__mips16) +#define count_leading_zeros(COUNT,X) ((COUNT) = __builtin_clz (X)) +#define COUNT_LEADING_ZEROS_0 32 +#endif +#endif /* __mips__ */ + +#if defined (__ns32000__) && W_TYPE_SIZE == 32 +#define umul_ppmm(w1, w0, u, v) \ + ({union {UDItype __ll; \ + struct {USItype __l, __h;} __i; \ + } __xx; \ + __asm__ ("meid %2,%0" \ + : "=g" (__xx.__ll) \ + : "%0" ((USItype) (u)), \ + "g" ((USItype) (v))); \ + (w1) = __xx.__i.__h; (w0) = __xx.__i.__l;}) +#define __umulsidi3(u, v) \ + ({UDItype __w; \ + __asm__ ("meid %2,%0" \ + : "=g" (__w) \ + : "%0" ((USItype) (u)), \ + "g" ((USItype) (v))); \ + __w; }) +#define udiv_qrnnd(q, r, n1, n0, d) \ + ({union {UDItype __ll; \ + struct {USItype __l, __h;} __i; \ + } __xx; \ + __xx.__i.__h = (n1); __xx.__i.__l = (n0); \ + __asm__ ("deid %2,%0" \ + : "=g" (__xx.__ll) \ + : "0" (__xx.__ll), \ + "g" ((USItype) (d))); \ + (r) = __xx.__i.__l; (q) = __xx.__i.__h; }) +#define count_trailing_zeros(count,x) \ + do { \ + __asm__ ("ffsd %2,%0" \ + : "=r" ((USItype) (count)) \ + : "0" ((USItype) 0), \ + "r" ((USItype) (x))); \ + } while (0) +#endif /* __ns32000__ */ + +/* FIXME: We should test _IBMR2 here when we add assembly support for the + system vendor compilers. + FIXME: What's needed for gcc PowerPC VxWorks? __vxworks__ is not good + enough, since that hits ARM and m68k too. */ +#if (defined (_ARCH_PPC) /* AIX */ \ + || defined (__powerpc__) /* gcc */ \ + || defined (__POWERPC__) /* BEOS */ \ + || defined (__ppc__) /* Darwin */ \ + || (defined (PPC) && ! defined (CPU_FAMILY)) /* gcc 2.7.x GNU&SysV */ \ + || (defined (PPC) && defined (CPU_FAMILY) /* VxWorks */ \ + && CPU_FAMILY == PPC) \ + ) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + do { \ + if (__builtin_constant_p (bh) && (bh) == 0) \ + __asm__ ("add%I4c %1,%3,%4\n\taddze %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "%r" (al), "rI" (bl));\ + else if (__builtin_constant_p (bh) && (bh) == ~(USItype) 0) \ + __asm__ ("add%I4c %1,%3,%4\n\taddme %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "%r" (al), "rI" (bl));\ + else \ + __asm__ ("add%I5c %1,%4,%5\n\tadde %0,%2,%3" \ + : "=r" (sh), "=&r" (sl) \ + : "%r" (ah), "r" (bh), "%r" (al), "rI" (bl)); \ + } while (0) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + do { \ + if (__builtin_constant_p (ah) && (ah) == 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\tsubfze %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (bh), "rI" (al), "r" (bl));\ + else if (__builtin_constant_p (ah) && (ah) == ~(USItype) 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\tsubfme %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (bh), "rI" (al), "r" (bl));\ + else if (__builtin_constant_p (bh) && (bh) == 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\taddme %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "rI" (al), "r" (bl));\ + else if (__builtin_constant_p (bh) && (bh) == ~(USItype) 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\taddze %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "rI" (al), "r" (bl));\ + else \ + __asm__ ("subf%I4c %1,%5,%4\n\tsubfe %0,%3,%2" \ + : "=r" (sh), "=&r" (sl) \ + : "r" (ah), "r" (bh), "rI" (al), "r" (bl)); \ + } while (0) +#define count_leading_zeros(count, x) \ + __asm__ ("cntlzw %0,%1" : "=r" (count) : "r" (x)) +#define COUNT_LEADING_ZEROS_0 32 +#if defined (_ARCH_PPC) || defined (__powerpc__) || defined (__POWERPC__) \ + || defined (__ppc__) \ + || (defined (PPC) && ! defined (CPU_FAMILY)) /* gcc 2.7.x GNU&SysV */ \ + || (defined (PPC) && defined (CPU_FAMILY) /* VxWorks */ \ + && CPU_FAMILY == PPC) +#define umul_ppmm(ph, pl, m0, m1) \ + do { \ + USItype __m0 = (m0), __m1 = (m1); \ + __asm__ ("mulhwu %0,%1,%2" : "=r" (ph) : "%r" (m0), "r" (m1)); \ + (pl) = __m0 * __m1; \ + } while (0) +#define UMUL_TIME 15 +#define smul_ppmm(ph, pl, m0, m1) \ + do { \ + SItype __m0 = (m0), __m1 = (m1); \ + __asm__ ("mulhw %0,%1,%2" : "=r" (ph) : "%r" (m0), "r" (m1)); \ + (pl) = __m0 * __m1; \ + } while (0) +#define SMUL_TIME 14 +#define UDIV_TIME 120 +#endif +#endif /* 32-bit POWER architecture variants. */ + +/* We should test _IBMR2 here when we add assembly support for the system + vendor compilers. */ +#if (defined (_ARCH_PPC64) || defined (__powerpc64__)) && W_TYPE_SIZE == 64 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + do { \ + if (__builtin_constant_p (bh) && (bh) == 0) \ + __asm__ ("add%I4c %1,%3,%4\n\taddze %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "%r" (al), "rI" (bl));\ + else if (__builtin_constant_p (bh) && (bh) == ~(UDItype) 0) \ + __asm__ ("add%I4c %1,%3,%4\n\taddme %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "%r" (al), "rI" (bl));\ + else \ + __asm__ ("add%I5c %1,%4,%5\n\tadde %0,%2,%3" \ + : "=r" (sh), "=&r" (sl) \ + : "%r" (ah), "r" (bh), "%r" (al), "rI" (bl)); \ + } while (0) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + do { \ + if (__builtin_constant_p (ah) && (ah) == 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\tsubfze %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (bh), "rI" (al), "r" (bl));\ + else if (__builtin_constant_p (ah) && (ah) == ~(UDItype) 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\tsubfme %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (bh), "rI" (al), "r" (bl));\ + else if (__builtin_constant_p (bh) && (bh) == 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\taddme %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "rI" (al), "r" (bl));\ + else if (__builtin_constant_p (bh) && (bh) == ~(UDItype) 0) \ + __asm__ ("subf%I3c %1,%4,%3\n\taddze %0,%2" \ + : "=r" (sh), "=&r" (sl) : "r" (ah), "rI" (al), "r" (bl));\ + else \ + __asm__ ("subf%I4c %1,%5,%4\n\tsubfe %0,%3,%2" \ + : "=r" (sh), "=&r" (sl) \ + : "r" (ah), "r" (bh), "rI" (al), "r" (bl)); \ + } while (0) +#define count_leading_zeros(count, x) \ + __asm__ ("cntlzd %0,%1" : "=r" (count) : "r" (x)) +#define COUNT_LEADING_ZEROS_0 64 +#define umul_ppmm(ph, pl, m0, m1) \ + do { \ + UDItype __m0 = (m0), __m1 = (m1); \ + __asm__ ("mulhdu %0,%1,%2" : "=r" (ph) : "%r" (m0), "r" (m1)); \ + (pl) = __m0 * __m1; \ + } while (0) +#define UMUL_TIME 15 +#define smul_ppmm(ph, pl, m0, m1) \ + do { \ + DItype __m0 = (m0), __m1 = (m1); \ + __asm__ ("mulhd %0,%1,%2" : "=r" (ph) : "%r" (m0), "r" (m1)); \ + (pl) = __m0 * __m1; \ + } while (0) +#define SMUL_TIME 14 /* ??? */ +#define UDIV_TIME 120 /* ??? */ +#endif /* 64-bit PowerPC. */ + +#if defined (__ibm032__) /* RT/ROMP */ && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("a %1,%5\n\tae %0,%3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%0" ((USItype) (ah)), \ + "r" ((USItype) (bh)), \ + "%1" ((USItype) (al)), \ + "r" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("s %1,%5\n\tse %0,%3" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "0" ((USItype) (ah)), \ + "r" ((USItype) (bh)), \ + "1" ((USItype) (al)), \ + "r" ((USItype) (bl))) +#define umul_ppmm(ph, pl, m0, m1) \ + do { \ + USItype __m0 = (m0), __m1 = (m1); \ + __asm__ ( \ + "s r2,r2\n" \ +" mts r10,%2\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" m r2,%3\n" \ +" cas %0,r2,r0\n" \ +" mfs r10,%1" \ + : "=r" ((USItype) (ph)), \ + "=r" ((USItype) (pl)) \ + : "%r" (__m0), \ + "r" (__m1) \ + : "r2"); \ + (ph) += ((((SItype) __m0 >> 31) & __m1) \ + + (((SItype) __m1 >> 31) & __m0)); \ + } while (0) +#define UMUL_TIME 20 +#define UDIV_TIME 200 +#define count_leading_zeros(count, x) \ + do { \ + if ((x) >= 0x10000) \ + __asm__ ("clz %0,%1" \ + : "=r" ((USItype) (count)) \ + : "r" ((USItype) (x) >> 16)); \ + else \ + { \ + __asm__ ("clz %0,%1" \ + : "=r" ((USItype) (count)) \ + : "r" ((USItype) (x))); \ + (count) += 16; \ + } \ + } while (0) +#endif + +#if defined(__sh__) && !__SHMEDIA__ && W_TYPE_SIZE == 32 +#ifndef __sh1__ +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ( \ + "dmulu.l %2,%3\n\tsts%M1 macl,%1\n\tsts%M0 mach,%0" \ + : "=r<" ((USItype)(w1)), \ + "=r<" ((USItype)(w0)) \ + : "r" ((USItype)(u)), \ + "r" ((USItype)(v)) \ + : "macl", "mach") +#define UMUL_TIME 5 +#endif + +/* This is the same algorithm as __udiv_qrnnd_c. */ +#define UDIV_NEEDS_NORMALIZATION 1 + +#define udiv_qrnnd(q, r, n1, n0, d) \ + do { \ + extern UWtype __udiv_qrnnd_16 (UWtype, UWtype) \ + __attribute__ ((visibility ("hidden"))); \ + /* r0: rn r1: qn */ /* r0: n1 r4: n0 r5: d r6: d1 */ /* r2: __m */ \ + __asm__ ( \ + "mov%M4 %4,r5\n" \ +" swap.w %3,r4\n" \ +" swap.w r5,r6\n" \ +" jsr @%5\n" \ +" shll16 r6\n" \ +" swap.w r4,r4\n" \ +" jsr @%5\n" \ +" swap.w r1,%0\n" \ +" or r1,%0" \ + : "=r" (q), "=&z" (r) \ + : "1" (n1), "r" (n0), "rm" (d), "r" (&__udiv_qrnnd_16) \ + : "r1", "r2", "r4", "r5", "r6", "pr", "t"); \ + } while (0) + +#define UDIV_TIME 80 + +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("clrt;subc %5,%1; subc %4,%0" \ + : "=r" (sh), "=r" (sl) \ + : "0" (ah), "1" (al), "r" (bh), "r" (bl) : "t") + +#endif /* __sh__ */ + +#if defined (__SH5__) && __SHMEDIA__ && W_TYPE_SIZE == 32 +#define __umulsidi3(u,v) ((UDItype)(USItype)u*(USItype)v) +#define count_leading_zeros(count, x) \ + do \ + { \ + UDItype x_ = (USItype)(x); \ + SItype c_; \ + \ + __asm__ ("nsb %1, %0" : "=r" (c_) : "r" (x_)); \ + (count) = c_ - 31; \ + } \ + while (0) +#define COUNT_LEADING_ZEROS_0 32 +#endif + +#if defined (__sparc__) && !defined (__arch64__) && !defined (__sparcv9) \ + && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("addcc %r4,%5,%1\n\taddx %r2,%3,%0" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "%rJ" ((USItype) (ah)), \ + "rI" ((USItype) (bh)), \ + "%rJ" ((USItype) (al)), \ + "rI" ((USItype) (bl)) \ + __CLOBBER_CC) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("subcc %r4,%5,%1\n\tsubx %r2,%3,%0" \ + : "=r" ((USItype) (sh)), \ + "=&r" ((USItype) (sl)) \ + : "rJ" ((USItype) (ah)), \ + "rI" ((USItype) (bh)), \ + "rJ" ((USItype) (al)), \ + "rI" ((USItype) (bl)) \ + __CLOBBER_CC) +#if defined (__sparc_v9__) +#define umul_ppmm(w1, w0, u, v) \ + do { \ + register USItype __g1 asm ("g1"); \ + __asm__ ("umul\t%2,%3,%1\n\t" \ + "srlx\t%1, 32, %0" \ + : "=r" ((USItype) (w1)), \ + "=r" (__g1) \ + : "r" ((USItype) (u)), \ + "r" ((USItype) (v))); \ + (w0) = __g1; \ + } while (0) +#define udiv_qrnnd(__q, __r, __n1, __n0, __d) \ + __asm__ ("mov\t%2,%%y\n\t" \ + "udiv\t%3,%4,%0\n\t" \ + "umul\t%0,%4,%1\n\t" \ + "sub\t%3,%1,%1" \ + : "=&r" ((USItype) (__q)), \ + "=&r" ((USItype) (__r)) \ + : "r" ((USItype) (__n1)), \ + "r" ((USItype) (__n0)), \ + "r" ((USItype) (__d))) +#else +#if defined (__sparc_v8__) +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ("umul %2,%3,%1;rd %%y,%0" \ + : "=r" ((USItype) (w1)), \ + "=r" ((USItype) (w0)) \ + : "r" ((USItype) (u)), \ + "r" ((USItype) (v))) +#define udiv_qrnnd(__q, __r, __n1, __n0, __d) \ + __asm__ ("mov %2,%%y;nop;nop;nop;udiv %3,%4,%0;umul %0,%4,%1;sub %3,%1,%1"\ + : "=&r" ((USItype) (__q)), \ + "=&r" ((USItype) (__r)) \ + : "r" ((USItype) (__n1)), \ + "r" ((USItype) (__n0)), \ + "r" ((USItype) (__d))) +#else +#if defined (__sparclite__) +/* This has hardware multiply but not divide. It also has two additional + instructions scan (ffs from high bit) and divscc. */ +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ("umul %2,%3,%1;rd %%y,%0" \ + : "=r" ((USItype) (w1)), \ + "=r" ((USItype) (w0)) \ + : "r" ((USItype) (u)), \ + "r" ((USItype) (v))) +#define udiv_qrnnd(q, r, n1, n0, d) \ + __asm__ ("! Inlined udiv_qrnnd\n" \ +" wr %%g0,%2,%%y ! Not a delayed write for sparclite\n" \ +" tst %%g0\n" \ +" divscc %3,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%%g1\n" \ +" divscc %%g1,%4,%0\n" \ +" rd %%y,%1\n" \ +" bl,a 1f\n" \ +" add %1,%4,%1\n" \ +"1: ! End of inline udiv_qrnnd" \ + : "=r" ((USItype) (q)), \ + "=r" ((USItype) (r)) \ + : "r" ((USItype) (n1)), \ + "r" ((USItype) (n0)), \ + "rI" ((USItype) (d)) \ + : "g1" __AND_CLOBBER_CC) +#define UDIV_TIME 37 +#define count_leading_zeros(count, x) \ + do { \ + __asm__ ("scan %1,1,%0" \ + : "=r" ((USItype) (count)) \ + : "r" ((USItype) (x))); \ + } while (0) +/* Early sparclites return 63 for an argument of 0, but they warn that future + implementations might change this. Therefore, leave COUNT_LEADING_ZEROS_0 + undefined. */ +#else +/* SPARC without integer multiplication and divide instructions. + (i.e. at least Sun4/20,40,60,65,75,110,260,280,330,360,380,470,490) */ +#define umul_ppmm(w1, w0, u, v) \ + __asm__ ("! Inlined umul_ppmm\n" \ +" wr %%g0,%2,%%y ! SPARC has 0-3 delay insn after a wr\n"\ +" sra %3,31,%%o5 ! Don't move this insn\n" \ +" and %2,%%o5,%%o5 ! Don't move this insn\n" \ +" andcc %%g0,0,%%g1 ! Don't move this insn\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,%3,%%g1\n" \ +" mulscc %%g1,0,%%g1\n" \ +" add %%g1,%%o5,%0\n" \ +" rd %%y,%1" \ + : "=r" ((USItype) (w1)), \ + "=r" ((USItype) (w0)) \ + : "%rI" ((USItype) (u)), \ + "r" ((USItype) (v)) \ + : "g1", "o5" __AND_CLOBBER_CC) +#define UMUL_TIME 39 /* 39 instructions */ +/* It's quite necessary to add this much assembler for the sparc. + The default udiv_qrnnd (in C) is more than 10 times slower! */ +#define udiv_qrnnd(__q, __r, __n1, __n0, __d) \ + __asm__ ("! Inlined udiv_qrnnd\n" \ +" mov 32,%%g1\n" \ +" subcc %1,%2,%%g0\n" \ +"1: bcs 5f\n" \ +" addxcc %0,%0,%0 ! shift n1n0 and a q-bit in lsb\n" \ +" sub %1,%2,%1 ! this kills msb of n\n" \ +" addx %1,%1,%1 ! so this can't give carry\n" \ +" subcc %%g1,1,%%g1\n" \ +"2: bne 1b\n" \ +" subcc %1,%2,%%g0\n" \ +" bcs 3f\n" \ +" addxcc %0,%0,%0 ! shift n1n0 and a q-bit in lsb\n" \ +" b 3f\n" \ +" sub %1,%2,%1 ! this kills msb of n\n" \ +"4: sub %1,%2,%1\n" \ +"5: addxcc %1,%1,%1\n" \ +" bcc 2b\n" \ +" subcc %%g1,1,%%g1\n" \ +"! Got carry from n. Subtract next step to cancel this carry.\n" \ +" bne 4b\n" \ +" addcc %0,%0,%0 ! shift n1n0 and a 0-bit in lsb\n" \ +" sub %1,%2,%1\n" \ +"3: xnor %0,0,%0\n" \ +" ! End of inline udiv_qrnnd" \ + : "=&r" ((USItype) (__q)), \ + "=&r" ((USItype) (__r)) \ + : "r" ((USItype) (__d)), \ + "1" ((USItype) (__n1)), \ + "0" ((USItype) (__n0)) : "g1" __AND_CLOBBER_CC) +#define UDIV_TIME (3+7*32) /* 7 instructions/iteration. 32 iterations. */ +#endif /* __sparclite__ */ +#endif /* __sparc_v8__ */ +#endif /* __sparc_v9__ */ +#endif /* sparc32 */ + +#if ((defined (__sparc__) && defined (__arch64__)) || defined (__sparcv9)) \ + && W_TYPE_SIZE == 64 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + do { \ + UDItype __carry = 0; \ + __asm__ ("addcc\t%r5,%6,%1\n\t" \ + "add\t%r3,%4,%0\n\t" \ + "movcs\t%%xcc, 1, %2\n\t" \ + "add\t%0, %2, %0" \ + : "=r" ((UDItype)(sh)), \ + "=&r" ((UDItype)(sl)), \ + "+r" (__carry) \ + : "%rJ" ((UDItype)(ah)), \ + "rI" ((UDItype)(bh)), \ + "%rJ" ((UDItype)(al)), \ + "rI" ((UDItype)(bl)) \ + __CLOBBER_CC); \ + } while (0) + +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + do { \ + UDItype __carry = 0; \ + __asm__ ("subcc\t%r5,%6,%1\n\t" \ + "sub\t%r3,%4,%0\n\t" \ + "movcs\t%%xcc, 1, %2\n\t" \ + "sub\t%0, %2, %0" \ + : "=r" ((UDItype)(sh)), \ + "=&r" ((UDItype)(sl)), \ + "+r" (__carry) \ + : "%rJ" ((UDItype)(ah)), \ + "rI" ((UDItype)(bh)), \ + "%rJ" ((UDItype)(al)), \ + "rI" ((UDItype)(bl)) \ + __CLOBBER_CC); \ + } while (0) + +#define umul_ppmm(wh, wl, u, v) \ + do { \ + UDItype tmp1, tmp2, tmp3, tmp4; \ + __asm__ __volatile__ ( \ + "srl %7,0,%3\n\t" \ + "mulx %3,%6,%1\n\t" \ + "srlx %6,32,%2\n\t" \ + "mulx %2,%3,%4\n\t" \ + "sllx %4,32,%5\n\t" \ + "srl %6,0,%3\n\t" \ + "sub %1,%5,%5\n\t" \ + "srlx %5,32,%5\n\t" \ + "addcc %4,%5,%4\n\t" \ + "srlx %7,32,%5\n\t" \ + "mulx %3,%5,%3\n\t" \ + "mulx %2,%5,%5\n\t" \ + "sethi %%hi(0x80000000),%2\n\t" \ + "addcc %4,%3,%4\n\t" \ + "srlx %4,32,%4\n\t" \ + "add %2,%2,%2\n\t" \ + "movcc %%xcc,%%g0,%2\n\t" \ + "addcc %5,%4,%5\n\t" \ + "sllx %3,32,%3\n\t" \ + "add %1,%3,%1\n\t" \ + "add %5,%2,%0" \ + : "=r" ((UDItype)(wh)), \ + "=&r" ((UDItype)(wl)), \ + "=&r" (tmp1), "=&r" (tmp2), "=&r" (tmp3), "=&r" (tmp4) \ + : "r" ((UDItype)(u)), \ + "r" ((UDItype)(v)) \ + __CLOBBER_CC); \ + } while (0) +#define UMUL_TIME 96 +#define UDIV_TIME 230 +#endif /* sparc64 */ + +#if defined (__vax__) && W_TYPE_SIZE == 32 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("addl2 %5,%1\n\tadwc %3,%0" \ + : "=g" ((USItype) (sh)), \ + "=&g" ((USItype) (sl)) \ + : "%0" ((USItype) (ah)), \ + "g" ((USItype) (bh)), \ + "%1" ((USItype) (al)), \ + "g" ((USItype) (bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("subl2 %5,%1\n\tsbwc %3,%0" \ + : "=g" ((USItype) (sh)), \ + "=&g" ((USItype) (sl)) \ + : "0" ((USItype) (ah)), \ + "g" ((USItype) (bh)), \ + "1" ((USItype) (al)), \ + "g" ((USItype) (bl))) +#define umul_ppmm(xh, xl, m0, m1) \ + do { \ + union { \ + UDItype __ll; \ + struct {USItype __l, __h;} __i; \ + } __xx; \ + USItype __m0 = (m0), __m1 = (m1); \ + __asm__ ("emul %1,%2,$0,%0" \ + : "=r" (__xx.__ll) \ + : "g" (__m0), \ + "g" (__m1)); \ + (xh) = __xx.__i.__h; \ + (xl) = __xx.__i.__l; \ + (xh) += ((((SItype) __m0 >> 31) & __m1) \ + + (((SItype) __m1 >> 31) & __m0)); \ + } while (0) +#define sdiv_qrnnd(q, r, n1, n0, d) \ + do { \ + union {DItype __ll; \ + struct {SItype __l, __h;} __i; \ + } __xx; \ + __xx.__i.__h = n1; __xx.__i.__l = n0; \ + __asm__ ("ediv %3,%2,%0,%1" \ + : "=g" (q), "=g" (r) \ + : "g" (__xx.__ll), "g" (d)); \ + } while (0) +#endif /* __vax__ */ + +#ifdef _TMS320C6X +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + do \ + { \ + UDItype __ll; \ + __asm__ ("addu .l1 %1, %2, %0" \ + : "=a" (__ll) : "a" (al), "a" (bl)); \ + (sl) = (USItype)__ll; \ + (sh) = ((USItype)(__ll >> 32)) + (ah) + (bh); \ + } \ + while (0) + +#ifdef _TMS320C6400_PLUS +#define __umulsidi3(u,v) ((UDItype)(USItype)u*(USItype)v) +#define umul_ppmm(w1, w0, u, v) \ + do { \ + UDItype __x = (UDItype) (USItype) (u) * (USItype) (v); \ + (w1) = (USItype) (__x >> 32); \ + (w0) = (USItype) (__x); \ + } while (0) +#endif /* _TMS320C6400_PLUS */ + +#define count_leading_zeros(count, x) ((count) = __builtin_clz (x)) +#ifdef _TMS320C6400 +#define count_trailing_zeros(count, x) ((count) = __builtin_ctz (x)) +#endif +#define UMUL_TIME 4 +#define UDIV_TIME 40 +#endif /* _TMS320C6X */ + +#if defined (__xtensa__) && W_TYPE_SIZE == 32 +/* This code is not Xtensa-configuration-specific, so rely on the compiler + to expand builtin functions depending on what configuration features + are available. This avoids library calls when the operation can be + performed in-line. */ +#define umul_ppmm(w1, w0, u, v) \ + do { \ + DWunion __w; \ + __w.ll = __builtin_umulsidi3 (u, v); \ + w1 = __w.s.high; \ + w0 = __w.s.low; \ + } while (0) +#define __umulsidi3(u, v) __builtin_umulsidi3 (u, v) +#define count_leading_zeros(COUNT, X) ((COUNT) = __builtin_clz (X)) +#define count_trailing_zeros(COUNT, X) ((COUNT) = __builtin_ctz (X)) +#endif /* __xtensa__ */ + +#if defined xstormy16 +extern UHItype __stormy16_count_leading_zeros (UHItype); +#define count_leading_zeros(count, x) \ + do \ + { \ + UHItype size; \ + \ + /* We assume that W_TYPE_SIZE is a multiple of 16... */ \ + for ((count) = 0, size = W_TYPE_SIZE; size; size -= 16) \ + { \ + UHItype c; \ + \ + c = __clzhi2 ((x) >> (size - 16)); \ + (count) += c; \ + if (c != 16) \ + break; \ + } \ + } \ + while (0) +#define COUNT_LEADING_ZEROS_0 W_TYPE_SIZE +#endif + +#if defined (__z8000__) && W_TYPE_SIZE == 16 +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + __asm__ ("add %H1,%H5\n\tadc %H0,%H3" \ + : "=r" ((unsigned int)(sh)), \ + "=&r" ((unsigned int)(sl)) \ + : "%0" ((unsigned int)(ah)), \ + "r" ((unsigned int)(bh)), \ + "%1" ((unsigned int)(al)), \ + "rQR" ((unsigned int)(bl))) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + __asm__ ("sub %H1,%H5\n\tsbc %H0,%H3" \ + : "=r" ((unsigned int)(sh)), \ + "=&r" ((unsigned int)(sl)) \ + : "0" ((unsigned int)(ah)), \ + "r" ((unsigned int)(bh)), \ + "1" ((unsigned int)(al)), \ + "rQR" ((unsigned int)(bl))) +#define umul_ppmm(xh, xl, m0, m1) \ + do { \ + union {long int __ll; \ + struct {unsigned int __h, __l;} __i; \ + } __xx; \ + unsigned int __m0 = (m0), __m1 = (m1); \ + __asm__ ("mult %S0,%H3" \ + : "=r" (__xx.__i.__h), \ + "=r" (__xx.__i.__l) \ + : "%1" (__m0), \ + "rQR" (__m1)); \ + (xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \ + (xh) += ((((signed int) __m0 >> 15) & __m1) \ + + (((signed int) __m1 >> 15) & __m0)); \ + } while (0) +#endif /* __z8000__ */ + +#endif /* __GNUC__ */ + +/* If this machine has no inline assembler, use C macros. */ + +#if !defined (add_ssaaaa) +#define add_ssaaaa(sh, sl, ah, al, bh, bl) \ + do { \ + UWtype __x; \ + __x = (al) + (bl); \ + (sh) = (ah) + (bh) + (__x < (al)); \ + (sl) = __x; \ + } while (0) +#endif + +#if !defined (sub_ddmmss) +#define sub_ddmmss(sh, sl, ah, al, bh, bl) \ + do { \ + UWtype __x; \ + __x = (al) - (bl); \ + (sh) = (ah) - (bh) - (__x > (al)); \ + (sl) = __x; \ + } while (0) +#endif + +/* If we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of + smul_ppmm. */ +#if !defined (umul_ppmm) && defined (smul_ppmm) +#define umul_ppmm(w1, w0, u, v) \ + do { \ + UWtype __w1; \ + UWtype __xm0 = (u), __xm1 = (v); \ + smul_ppmm (__w1, w0, __xm0, __xm1); \ + (w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1) \ + + (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0); \ + } while (0) +#endif + +/* If we still don't have umul_ppmm, define it using plain C. */ +#if !defined (umul_ppmm) +#define umul_ppmm(w1, w0, u, v) \ + do { \ + UWtype __x0, __x1, __x2, __x3; \ + UHWtype __ul, __vl, __uh, __vh; \ + \ + __ul = __ll_lowpart (u); \ + __uh = __ll_highpart (u); \ + __vl = __ll_lowpart (v); \ + __vh = __ll_highpart (v); \ + \ + __x0 = (UWtype) __ul * __vl; \ + __x1 = (UWtype) __ul * __vh; \ + __x2 = (UWtype) __uh * __vl; \ + __x3 = (UWtype) __uh * __vh; \ + \ + __x1 += __ll_highpart (__x0);/* this can't give carry */ \ + __x1 += __x2; /* but this indeed can */ \ + if (__x1 < __x2) /* did we get it? */ \ + __x3 += __ll_B; /* yes, add it in the proper pos. */ \ + \ + (w1) = __x3 + __ll_highpart (__x1); \ + (w0) = __ll_lowpart (__x1) * __ll_B + __ll_lowpart (__x0); \ + } while (0) +#endif + +#if !defined (__umulsidi3) +#define __umulsidi3(u, v) \ + ({DWunion __w; \ + umul_ppmm (__w.s.high, __w.s.low, u, v); \ + __w.ll; }) +#endif + +/* Define this unconditionally, so it can be used for debugging. */ +#define __udiv_qrnnd_c(q, r, n1, n0, d) \ + do { \ + UWtype __d1, __d0, __q1, __q0; \ + UWtype __r1, __r0, __m; \ + __d1 = __ll_highpart (d); \ + __d0 = __ll_lowpart (d); \ + \ + __r1 = (n1) % __d1; \ + __q1 = (n1) / __d1; \ + __m = (UWtype) __q1 * __d0; \ + __r1 = __r1 * __ll_B | __ll_highpart (n0); \ + if (__r1 < __m) \ + { \ + __q1--, __r1 += (d); \ + if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */\ + if (__r1 < __m) \ + __q1--, __r1 += (d); \ + } \ + __r1 -= __m; \ + \ + __r0 = __r1 % __d1; \ + __q0 = __r1 / __d1; \ + __m = (UWtype) __q0 * __d0; \ + __r0 = __r0 * __ll_B | __ll_lowpart (n0); \ + if (__r0 < __m) \ + { \ + __q0--, __r0 += (d); \ + if (__r0 >= (d)) \ + if (__r0 < __m) \ + __q0--, __r0 += (d); \ + } \ + __r0 -= __m; \ + \ + (q) = (UWtype) __q1 * __ll_B | __q0; \ + (r) = __r0; \ + } while (0) + +/* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through + __udiv_w_sdiv (defined in libgcc or elsewhere). */ +#if !defined (udiv_qrnnd) && defined (sdiv_qrnnd) +#define udiv_qrnnd(q, r, nh, nl, d) \ + do { \ + extern UWtype __udiv_w_sdiv (UWtype *, UWtype, UWtype, UWtype); \ + UWtype __r; \ + (q) = __udiv_w_sdiv (&__r, nh, nl, d); \ + (r) = __r; \ + } while (0) +#endif + +/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c. */ +#if !defined (udiv_qrnnd) +#define UDIV_NEEDS_NORMALIZATION 1 +#define udiv_qrnnd __udiv_qrnnd_c +#endif + +#if !defined (count_leading_zeros) +#define count_leading_zeros(count, x) \ + do { \ + UWtype __xr = (x); \ + UWtype __a; \ + \ + if (W_TYPE_SIZE <= 32) \ + { \ + __a = __xr < ((UWtype)1<<2*__BITS4) \ + ? (__xr < ((UWtype)1<<__BITS4) ? 0 : __BITS4) \ + : (__xr < ((UWtype)1<<3*__BITS4) ? 2*__BITS4 : 3*__BITS4); \ + } \ + else \ + { \ + for (__a = W_TYPE_SIZE - 8; __a > 0; __a -= 8) \ + if (((__xr >> __a) & 0xff) != 0) \ + break; \ + } \ + \ + (count) = W_TYPE_SIZE - (__clz_tab[__xr >> __a] + __a); \ + } while (0) +#define COUNT_LEADING_ZEROS_0 W_TYPE_SIZE +#endif + +#if !defined (count_trailing_zeros) +/* Define count_trailing_zeros using count_leading_zeros. The latter might be + defined in asm, but if it is not, the C version above is good enough. */ +#define count_trailing_zeros(count, x) \ + do { \ + UWtype __ctz_x = (x); \ + UWtype __ctz_c; \ + count_leading_zeros (__ctz_c, __ctz_x & -__ctz_x); \ + (count) = W_TYPE_SIZE - 1 - __ctz_c; \ + } while (0) +#endif + +#ifndef UDIV_NEEDS_NORMALIZATION +#define UDIV_NEEDS_NORMALIZATION 0 +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/Makefile b/contrib/toolchain/gcc/5x/libgcc/Makefile new file mode 100644 index 0000000000..d1c75a3765 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/Makefile @@ -0,0 +1,57 @@ + +export CC = kos32-gcc +export AR = kos32-ar +export LD = kos32-ld +export STRIP = kos32-strip + +export SDK_DIR:= $(abspath ../../../../sdk) + +CFLAGS_OPT+= -fomit-frame-pointer -fno-ident -mno-ms-bitfields +CFLAGS_OPT+= -fbuilding-libgcc -fno-stack-protector + +CFLAGS = -c -O2 -DIN_GCC -DIN_LIBGCC2 -DHAVE_CC_TLS -DUSE_EMUTLS -DENABLE_DECIMAL_BID_FORMAT +CFLAGS+= -U_Win32 -U_WIN32 -U__MINGW32__ -UWIN32 -U_MSC_VER +CFLAGS+= -W -Wall -Wno-narrowing -Wwrite-strings -Wcast-qual -Wstrict-prototypes +CFLAGS+= -Wmissing-prototypes -Wold-style-definition $(CFLAGS_OPT) + +INCLUDES = -I../gcc -I../include + +objext = .o + +lib2funcs = _muldi3 _negdi2 _lshrdi3 _ashldi3 _ashrdi3 _cmpdi2 _ucmpdi2 \ + _clear_cache _trampoline __main _absvsi2 _absvdi2 _addvsi3 \ + _addvdi3 _subvsi3 _subvdi3 _mulvsi3 _mulvdi3 _negvsi2 _negvdi2 \ + _ctors _ffssi2 _ffsdi2 _clz _clzsi2 _clzdi2 _ctzsi2 _ctzdi2 \ + _popcount_tab _popcountsi2 _popcountdi2 _paritysi2 _paritydi2 \ + _powisf2 _powidf2 _powixf2 _powitf2 _mulsc3 _muldc3 _mulxc3 \ + _multc3 _divsc3 _divdc3 _divxc3 _divtc3 _bswapsi2 _bswapdi2 \ + _clrsbsi2 _clrsbdi2 + + +swfloatfuncs = $(patsubst %,_fixuns%XX,sf df xf) + + +dwfloatfuncs = $(patsubst %,_fix%XX,sf df xf tf) \ + $(patsubst %,_fixuns%XX,sf df xf tf) \ + $(patsubst %,_floatXX%,sf df xf tf) \ + $(patsubst %,_floatunXX%,sf df xf tf) + +lib2funcs += $(subst XX,si,$(swfloatfuncs)) +lib2funcs += $(subst XX,di,$(dwfloatfuncs)) + +# targets + +all: libgcc.a + +lib2funcs-o = $(patsubst %,%$(objext),$(lib2funcs) $(LIB2FUNCS_ST)) + + +$(lib2funcs-o): %$(objext): libgcc2.c + $(CC) $(INCLUDES) $(CFLAGS) -DL$* -c $< -o $@ + +libgcc.a : $(lib2funcs-o) MAkefile + $(AR) crs libgcc.a $(lib2funcs-o) +# mv -f libbfd.a $(SDK_DIR)/lib + + + \ No newline at end of file diff --git a/contrib/toolchain/gcc/5x/libgcc/config/gthr-lynx.h b/contrib/toolchain/gcc/5x/libgcc/config/gthr-lynx.h new file mode 100644 index 0000000000..9a3ea40c36 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/gthr-lynx.h @@ -0,0 +1,61 @@ +/* Threads compatibility routines for libgcc2 and libobjc for + LynxOS. */ +/* Compile this one with gcc. */ +/* Copyright (C) 2004-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_LYNX_H +#define GCC_GTHR_LYNX_H + +#ifdef _MULTITHREADED + +/* Using the macro version of pthread_setspecific leads to a + compilation error. Instead we have two choices either kill all + macros in pthread.h with defining _POSIX_THREADS_CALLS or undefine + individual macros where we should fall back on the function + implementation. We choose the second approach. */ + +#include +#undef pthread_setspecific + +/* When using static libc on LynxOS, we cannot define pthread_create + weak. If the multi-threaded application includes iostream.h, + gthr-posix.h is included and pthread_create will be defined weak. + If pthread_create is weak its defining module in libc is not + necessarily included in the link and the symbol is resolved to zero. + Therefore the first call to it will crash. + + Since -mthreads is a multilib switch on LynxOS we know that at this + point we are compiling for multi-threaded. Omitting the weak + definitions at this point should have no effect. */ + +#undef GTHREAD_USE_WEAK +#define GTHREAD_USE_WEAK 0 + +#include "gthr-posix.h" + +#else +#include "gthr-single.h" +#endif + +#endif /* GCC_GTHR_LYNX_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/gthr-rtems.h b/contrib/toolchain/gcc/5x/libgcc/config/gthr-rtems.h new file mode 100644 index 0000000000..23038c6c9a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/gthr-rtems.h @@ -0,0 +1,164 @@ +/* RTEMS threads compatibility routines for libgcc2 and libobjc. + by: Rosimildo da Silva( rdasilva@connecttel.com ) */ +/* Compile this one with gcc. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_RTEMS_H +#define GCC_GTHR_RTEMS_H + +#ifdef __cplusplus +extern "C" { +#endif + +#define __GTHREADS 1 + +#define __GTHREAD_ONCE_INIT 0 +#define __GTHREAD_MUTEX_INIT_FUNCTION rtems_gxx_mutex_init +#define __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION rtems_gxx_recursive_mutex_init + +/* Avoid dependency on rtems specific headers. */ +typedef void *__gthread_key_t; +typedef int __gthread_once_t; +typedef void *__gthread_mutex_t; +typedef void *__gthread_recursive_mutex_t; + +/* + * External functions provided by RTEMS. They are very similar to their POSIX + * counterparts. A "Wrapper API" is being use to avoid dependency on any RTEMS + * header files. + */ + +/* generic per task variables */ +extern int rtems_gxx_once (__gthread_once_t *__once, void (*__func) (void)); +extern int rtems_gxx_key_create (__gthread_key_t *__key, void (*__dtor) (void *)); +extern int rtems_gxx_key_delete (__gthread_key_t __key); +extern void *rtems_gxx_getspecific (__gthread_key_t __key); +extern int rtems_gxx_setspecific (__gthread_key_t __key, const void *__ptr); + +/* mutex support */ +extern void rtems_gxx_mutex_init (__gthread_mutex_t *__mutex); +extern int rtems_gxx_mutex_destroy (__gthread_mutex_t *__mutex); +extern int rtems_gxx_mutex_lock (__gthread_mutex_t *__mutex); +extern int rtems_gxx_mutex_trylock (__gthread_mutex_t *__mutex); +extern int rtems_gxx_mutex_unlock (__gthread_mutex_t *__mutex); + +/* recursive mutex support */ +extern void rtems_gxx_recursive_mutex_init (__gthread_recursive_mutex_t *__mutex); +extern int rtems_gxx_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex); +extern int rtems_gxx_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex); +extern int rtems_gxx_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex); + +/* RTEMS threading is always active */ +static inline int +__gthread_active_p (void) +{ + return 1; +} + +/* Wrapper calls */ +static inline int +__gthread_once (__gthread_once_t *__once, void (*__func) (void)) +{ + return rtems_gxx_once( __once, __func ); +} + +static inline int +__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *)) +{ + return rtems_gxx_key_create( __key, __dtor ); +} + +static inline int +__gthread_key_delete (__gthread_key_t __key) +{ + return rtems_gxx_key_delete (__key); +} + +static inline void * +__gthread_getspecific (__gthread_key_t __key) +{ + return rtems_gxx_getspecific (__key); +} + +static inline int +__gthread_setspecific (__gthread_key_t __key, const void *__ptr) +{ + return rtems_gxx_setspecific (__key, __ptr); +} + +static inline int +__gthread_mutex_destroy (__gthread_mutex_t *__mutex) +{ + return rtems_gxx_mutex_destroy (__mutex); +} + +static inline int +__gthread_mutex_lock (__gthread_mutex_t *__mutex) +{ + return rtems_gxx_mutex_lock (__mutex); +} + +static inline int +__gthread_mutex_trylock (__gthread_mutex_t *__mutex) +{ + return rtems_gxx_mutex_trylock (__mutex); +} + +static inline int +__gthread_mutex_unlock (__gthread_mutex_t *__mutex) +{ + return rtems_gxx_mutex_unlock( __mutex ); +} + +static inline int +__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex) +{ + return rtems_gxx_recursive_mutex_lock (__mutex); +} + +static inline int +__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex) +{ + return rtems_gxx_recursive_mutex_trylock (__mutex); +} + +static inline int +__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex) +{ + return rtems_gxx_recursive_mutex_unlock( __mutex ); +} + +static inline int +__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex) +{ + /* This requires that recursive and non-recursive mutexes have the same + representation. */ + return rtems_gxx_mutex_destroy (__mutex ); +} + +#ifdef __cplusplus +} +#endif + +#endif /* ! GCC_GTHR_RTEMS_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/gthr-vxworks.h b/contrib/toolchain/gcc/5x/libgcc/config/gthr-vxworks.h new file mode 100644 index 0000000000..c90879a21b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/gthr-vxworks.h @@ -0,0 +1,175 @@ +/* Threads compatibility routines for libgcc2 and libobjc for VxWorks. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + Contributed by Mike Stump . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_VXWORKS_H +#define GCC_GTHR_VXWORKS_H + +#ifdef _LIBOBJC + +/* libobjc requires the optional pthreads component. */ +#include "gthr-posix.h" + +#else +#ifdef __cplusplus +#define UNUSED(x) +#else +#define UNUSED(x) x __attribute__((__unused__)) +#endif + +#ifdef __cplusplus +extern "C" { +#endif + +#define __GTHREADS 1 +#define __gthread_active_p() 1 + +/* Mutexes are easy, except that they need to be initialized at runtime. */ + +#include + +typedef SEM_ID __gthread_mutex_t; +/* All VxWorks mutexes are recursive. */ +typedef SEM_ID __gthread_recursive_mutex_t; +#define __GTHREAD_MUTEX_INIT_FUNCTION __gthread_mutex_init_function +#define __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION __gthread_recursive_mutex_init_function + +static inline void +__gthread_mutex_init_function (__gthread_mutex_t *mutex) +{ + *mutex = semMCreate (SEM_Q_PRIORITY | SEM_INVERSION_SAFE | SEM_DELETE_SAFE); +} + +static inline int +__gthread_mutex_destroy (__gthread_mutex_t * UNUSED(mutex)) +{ + return 0; +} + +static inline int +__gthread_mutex_lock (__gthread_mutex_t *mutex) +{ + return semTake (*mutex, WAIT_FOREVER); +} + +static inline int +__gthread_mutex_trylock (__gthread_mutex_t *mutex) +{ + return semTake (*mutex, NO_WAIT); +} + +static inline int +__gthread_mutex_unlock (__gthread_mutex_t *mutex) +{ + return semGive (*mutex); +} + +static inline void +__gthread_recursive_mutex_init_function (__gthread_recursive_mutex_t *mutex) +{ + __gthread_mutex_init_function (mutex); +} + +static inline int +__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *mutex) +{ + return __gthread_mutex_lock (mutex); +} + +static inline int +__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *mutex) +{ + return __gthread_mutex_trylock (mutex); +} + +static inline int +__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *mutex) +{ + return __gthread_mutex_unlock (mutex); +} + +static inline int +__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_destroy (__mutex); +} + +/* pthread_once is complicated enough that it's implemented + out-of-line. See config/vxlib.c. */ + +typedef struct +{ +#if !defined(__RTP__) +#if defined(__PPC__) + __attribute ((aligned (__alignof (unsigned)))) +#endif + volatile unsigned char busy; +#endif + volatile unsigned char done; +#if !defined(__RTP__) && defined(__PPC__) + /* PPC's test-and-set implementation requires a 4 byte aligned + object, of which it only sets the first byte. We use padding + here, in order to maintain some amount of backwards + compatibility. Without this padding, gthread_once objects worked + by accident because they happen to be static objects and the ppc + port automatically increased their alignment to 4 bytes. */ + unsigned char pad1; + unsigned char pad2; +#endif +} +__gthread_once_t; + +#if defined (__RTP__) +# define __GTHREAD_ONCE_INIT { 0 } +#elif defined (__PPC__) +# define __GTHREAD_ONCE_INIT { 0, 0, 0, 0 } +#else +# define __GTHREAD_ONCE_INIT { 0, 0 } +#endif + +extern int __gthread_once (__gthread_once_t *__once, void (*__func)(void)); + +/* Thread-specific data requires a great deal of effort, since VxWorks + is not really set up for it. See config/vxlib.c for the gory + details. All the TSD routines are sufficiently complex that they + need to be implemented out of line. */ + +typedef unsigned int __gthread_key_t; + +extern int __gthread_key_create (__gthread_key_t *__keyp, void (*__dtor)(void *)); +extern int __gthread_key_delete (__gthread_key_t __key); + +extern void *__gthread_getspecific (__gthread_key_t __key); +extern int __gthread_setspecific (__gthread_key_t __key, void *__ptr); + +#undef UNUSED + +#ifdef __cplusplus +} +#endif + +#endif /* not _LIBOBJC */ + +#endif /* gthr-vxworks.h */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/hardfp.c b/contrib/toolchain/gcc/5x/libgcc/config/hardfp.c new file mode 100644 index 0000000000..a3537eff08 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/hardfp.c @@ -0,0 +1,62 @@ +/* Dummy floating-point routines for hard-float code. + Copyright (C) 2014-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define sf float +#define df double + +#if defined (OP_add3) +TYPE FUNC (TYPE x, TYPE y) { return x + y; } +#elif defined (OP_sub3) +TYPE FUNC (TYPE x, TYPE y) { return x - y; } +#elif defined (OP_neg2) +TYPE FUNC (TYPE x) { return -x; } +#elif defined (OP_mul3) +TYPE FUNC (TYPE x, TYPE y) { return x * y; } +#elif defined (OP_div3) +TYPE FUNC (TYPE x, TYPE y) { return x / y; } +#elif defined (OP_eq2) || defined (OP_ne2) +int FUNC (TYPE x, TYPE y) { return x == y ? 0 : 1; } +#elif defined (OP_ge2) +int FUNC (TYPE x, TYPE y) { return x >= y ? 0 : -1; } +#elif defined (OP_gt2) +int FUNC (TYPE x, TYPE y) { return x > y ? 1 : 0; } +#elif defined (OP_le2) +int FUNC (TYPE x, TYPE y) { return x <= y ? 0 : 1; } +#elif defined (OP_lt2) +int FUNC (TYPE x, TYPE y) { return x < y ? -1 : 0; } +#elif defined (OP_unord2) +int FUNC (TYPE x, TYPE y) { return __builtin_isunordered (x, y); } +#elif defined (OP_fixsi) +int FUNC (TYPE x) { return (int) x; } +#elif defined (OP_floatsi) +TYPE FUNC (int x) { return (TYPE) x; } +#elif defined (OP_floatunsi) +TYPE FUNC (unsigned int x) { return (TYPE) x; } +#elif defined (OP_extendsf2) +TYPE FUNC (float x) { return (TYPE) x; } +#elif defined (OP_truncdf2) +TYPE FUNC (double x) { return (TYPE) x; } +#else +#error Unknown operation +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/32/sfp-machine.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/32/sfp-machine.h new file mode 100644 index 0000000000..1fa282d7af --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/32/sfp-machine.h @@ -0,0 +1,113 @@ +#define _FP_W_TYPE_SIZE 32 +#define _FP_W_TYPE unsigned int +#define _FP_WS_TYPE signed int +#define _FP_I_TYPE int + +#define __FP_FRAC_ADD_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \ + __asm__ ("add{l} {%11,%3|%3,%11}\n\t" \ + "adc{l} {%9,%2|%2,%9}\n\t" \ + "adc{l} {%7,%1|%1,%7}\n\t" \ + "adc{l} {%5,%0|%0,%5}" \ + : "=r" ((USItype) (r3)), \ + "=&r" ((USItype) (r2)), \ + "=&r" ((USItype) (r1)), \ + "=&r" ((USItype) (r0)) \ + : "%0" ((USItype) (x3)), \ + "g" ((USItype) (y3)), \ + "%1" ((USItype) (x2)), \ + "g" ((USItype) (y2)), \ + "%2" ((USItype) (x1)), \ + "g" ((USItype) (y1)), \ + "%3" ((USItype) (x0)), \ + "g" ((USItype) (y0))) +#define __FP_FRAC_ADD_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ + __asm__ ("add{l} {%8,%2|%2,%8}\n\t" \ + "adc{l} {%6,%1|%1,%6}\n\t" \ + "adc{l} {%4,%0|%0,%4}" \ + : "=r" ((USItype) (r2)), \ + "=&r" ((USItype) (r1)), \ + "=&r" ((USItype) (r0)) \ + : "%0" ((USItype) (x2)), \ + "g" ((USItype) (y2)), \ + "%1" ((USItype) (x1)), \ + "g" ((USItype) (y1)), \ + "%2" ((USItype) (x0)), \ + "g" ((USItype) (y0))) +#define __FP_FRAC_SUB_4(r3,r2,r1,r0,x3,x2,x1,x0,y3,y2,y1,y0) \ + __asm__ ("sub{l} {%11,%3|%3,%11}\n\t" \ + "sbb{l} {%9,%2|%2,%9}\n\t" \ + "sbb{l} {%7,%1|%1,%7}\n\t" \ + "sbb{l} {%5,%0|%0,%5}" \ + : "=r" ((USItype) (r3)), \ + "=&r" ((USItype) (r2)), \ + "=&r" ((USItype) (r1)), \ + "=&r" ((USItype) (r0)) \ + : "0" ((USItype) (x3)), \ + "g" ((USItype) (y3)), \ + "1" ((USItype) (x2)), \ + "g" ((USItype) (y2)), \ + "2" ((USItype) (x1)), \ + "g" ((USItype) (y1)), \ + "3" ((USItype) (x0)), \ + "g" ((USItype) (y0))) +#define __FP_FRAC_SUB_3(r2,r1,r0,x2,x1,x0,y2,y1,y0) \ + __asm__ ("sub{l} {%8,%2|%2,%8}\n\t" \ + "sbb{l} {%6,%1|%1,%6}\n\t" \ + "sbb{l} {%4,%0|%0,%4}" \ + : "=r" ((USItype) (r2)), \ + "=&r" ((USItype) (r1)), \ + "=&r" ((USItype) (r0)) \ + : "0" ((USItype) (x2)), \ + "g" ((USItype) (y2)), \ + "1" ((USItype) (x1)), \ + "g" ((USItype) (y1)), \ + "2" ((USItype) (x0)), \ + "g" ((USItype) (y0))) +#define __FP_FRAC_ADDI_4(x3,x2,x1,x0,i) \ + __asm__ ("add{l} {%4,%3|%3,%4}\n\t" \ + "adc{l} {$0,%2|%2,0}\n\t" \ + "adc{l} {$0,%1|%1,0}\n\t" \ + "adc{l} {$0,%0|%0,0}" \ + : "+r" ((USItype) (x3)), \ + "+&r" ((USItype) (x2)), \ + "+&r" ((USItype) (x1)), \ + "+&r" ((USItype) (x0)) \ + : "g" ((USItype) (i))) + + +#define _FP_MUL_MEAT_S(R,X,Y) \ + _FP_MUL_MEAT_1_wide(_FP_WFRACBITS_S,R,X,Y,umul_ppmm) +#define _FP_MUL_MEAT_D(R,X,Y) \ + _FP_MUL_MEAT_2_wide(_FP_WFRACBITS_D,R,X,Y,umul_ppmm) +#define _FP_MUL_MEAT_Q(R,X,Y) \ + _FP_MUL_MEAT_4_wide(_FP_WFRACBITS_Q,R,X,Y,umul_ppmm) + +#define _FP_DIV_MEAT_S(R,X,Y) _FP_DIV_MEAT_1_loop(S,R,X,Y) +#define _FP_DIV_MEAT_D(R,X,Y) _FP_DIV_MEAT_2_udiv(D,R,X,Y) +#define _FP_DIV_MEAT_Q(R,X,Y) _FP_DIV_MEAT_4_udiv(Q,R,X,Y) + +#define _FP_NANFRAC_S _FP_QNANBIT_S +#define _FP_NANFRAC_D _FP_QNANBIT_D, 0 +/* Even if XFmode is 12byte, we have to pad it to + 16byte since soft-fp emulation is done in 16byte. */ +#define _FP_NANFRAC_E _FP_QNANBIT_E, 0, 0, 0 +#define _FP_NANFRAC_Q _FP_QNANBIT_Q, 0, 0, 0 + +#ifndef _SOFT_FLOAT +#define FP_EX_SHIFT 0 + +#define _FP_DECL_EX \ + unsigned short _fcw __attribute__ ((unused)) = FP_RND_NEAREST; + +#define FP_RND_NEAREST 0 +#define FP_RND_ZERO 0xc00 +#define FP_RND_PINF 0x800 +#define FP_RND_MINF 0x400 + +#define FP_RND_MASK 0xc00 + +#define FP_INIT_ROUNDMODE \ + do { \ + __asm__ __volatile__ ("fnstcw\t%0" : "=m" (_fcw)); \ + } while (0) +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/32/tf-signs.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/32/tf-signs.c new file mode 100644 index 0000000000..157e11c5de --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/32/tf-signs.c @@ -0,0 +1,62 @@ +/* Copyright (C) 2008-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +union _FP_UNION_Q +{ + __float128 flt; + struct + { + unsigned long frac0 : 32; + unsigned long frac1 : 32; + unsigned long frac2 : 32; + unsigned long frac3 : 16; + unsigned exp : 15; + unsigned sign : 1; + } bits __attribute__((packed)); +}; + +__float128 __copysigntf3 (__float128, __float128); +__float128 __fabstf2 (__float128); + +__float128 +__copysigntf3 (__float128 a, __float128 b) +{ + union _FP_UNION_Q A, B; + + A.flt = a; + B.flt = b; + A.bits.sign = B.bits.sign; + + return A.flt; +} + +__float128 +__fabstf2 (__float128 a) +{ + union _FP_UNION_Q A; + + A.flt = a; + A.bits.sign = 0; + + return A.flt; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/cpuinfo.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/cpuinfo.c new file mode 100644 index 0000000000..775b597aca --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/cpuinfo.c @@ -0,0 +1,429 @@ +/* Get CPU type and Features for x86 processors. + Copyright (C) 2012-2015 Free Software Foundation, Inc. + Contributed by Sriraman Tallam (tmsriram@google.com) + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "cpuid.h" +#include "tsystem.h" +#include "auto-target.h" + +#ifdef HAVE_INIT_PRIORITY +#define CONSTRUCTOR_PRIORITY (101) +#else +#define CONSTRUCTOR_PRIORITY +#endif + +int __cpu_indicator_init (void) + __attribute__ ((constructor CONSTRUCTOR_PRIORITY)); + +/* Processor Vendor and Models. */ + +enum processor_vendor +{ + VENDOR_INTEL = 1, + VENDOR_AMD, + VENDOR_OTHER, + VENDOR_MAX +}; + +/* Any new types or subtypes have to be inserted at the end. */ + +enum processor_types +{ + INTEL_BONNELL = 1, + INTEL_CORE2, + INTEL_COREI7, + AMDFAM10H, + AMDFAM15H, + INTEL_SILVERMONT, + AMD_BTVER1, + AMD_BTVER2, + CPU_TYPE_MAX +}; + +enum processor_subtypes +{ + INTEL_COREI7_NEHALEM = 1, + INTEL_COREI7_WESTMERE, + INTEL_COREI7_SANDYBRIDGE, + AMDFAM10H_BARCELONA, + AMDFAM10H_SHANGHAI, + AMDFAM10H_ISTANBUL, + AMDFAM15H_BDVER1, + AMDFAM15H_BDVER2, + AMDFAM15H_BDVER3, + AMDFAM15H_BDVER4, + INTEL_COREI7_IVYBRIDGE, + INTEL_COREI7_HASWELL, + INTEL_COREI7_BROADWELL, + CPU_SUBTYPE_MAX +}; + +/* ISA Features supported. */ + +enum processor_features +{ + FEATURE_CMOV = 0, + FEATURE_MMX, + FEATURE_POPCNT, + FEATURE_SSE, + FEATURE_SSE2, + FEATURE_SSE3, + FEATURE_SSSE3, + FEATURE_SSE4_1, + FEATURE_SSE4_2, + FEATURE_AVX, + FEATURE_AVX2, + FEATURE_SSE4_A, + FEATURE_FMA4, + FEATURE_XOP, + FEATURE_FMA, + FEATURE_AVX512F, + FEATURE_BMI, + FEATURE_BMI2 +}; + +struct __processor_model +{ + unsigned int __cpu_vendor; + unsigned int __cpu_type; + unsigned int __cpu_subtype; + unsigned int __cpu_features[1]; +} __cpu_model; + + +/* Get the specific type of AMD CPU. */ + +static void +get_amd_cpu (unsigned int family, unsigned int model) +{ + switch (family) + { + /* AMD Family 10h. */ + case 0x10: + __cpu_model.__cpu_type = AMDFAM10H; + switch (model) + { + case 0x2: + /* Barcelona. */ + __cpu_model.__cpu_subtype = AMDFAM10H_BARCELONA; + break; + case 0x4: + /* Shanghai. */ + __cpu_model.__cpu_subtype = AMDFAM10H_SHANGHAI; + break; + case 0x8: + /* Istanbul. */ + __cpu_model.__cpu_subtype = AMDFAM10H_ISTANBUL; + break; + default: + break; + } + break; + /* AMD Family 14h "btver1". */ + case 0x14: + __cpu_model.__cpu_type = AMD_BTVER1; + break; + /* AMD Family 15h "Bulldozer". */ + case 0x15: + __cpu_model.__cpu_type = AMDFAM15H; + /* Bulldozer version 1. */ + if ( model <= 0xf) + __cpu_model.__cpu_subtype = AMDFAM15H_BDVER1; + /* Bulldozer version 2 "Piledriver" */ + if (model >= 0x10 && model <= 0x2f) + __cpu_model.__cpu_subtype = AMDFAM15H_BDVER2; + /* Bulldozer version 3 "Steamroller" */ + if (model >= 0x30 && model <= 0x4f) + __cpu_model.__cpu_subtype = AMDFAM15H_BDVER3; + /* Bulldozer version 4 "Excavator" */ + if (model >= 0x60 && model <= 0x7f) + __cpu_model.__cpu_subtype = AMDFAM15H_BDVER4; + break; + /* AMD Family 16h "btver2" */ + case 0x16: + __cpu_model.__cpu_type = AMD_BTVER2; + break; + default: + break; + } +} + +/* Get the specific type of Intel CPU. */ + +static void +get_intel_cpu (unsigned int family, unsigned int model, unsigned int brand_id) +{ + /* Parse family and model only if brand ID is 0. */ + if (brand_id == 0) + { + switch (family) + { + case 0x5: + /* Pentium. */ + break; + case 0x6: + switch (model) + { + case 0x1c: + case 0x26: + /* Bonnell. */ + __cpu_model.__cpu_type = INTEL_BONNELL; + break; + case 0x37: + case 0x4a: + case 0x4d: + case 0x5a: + case 0x5d: + /* Silvermont. */ + __cpu_model.__cpu_type = INTEL_SILVERMONT; + break; + case 0x1a: + case 0x1e: + case 0x1f: + case 0x2e: + /* Nehalem. */ + __cpu_model.__cpu_type = INTEL_COREI7; + __cpu_model.__cpu_subtype = INTEL_COREI7_NEHALEM; + break; + case 0x25: + case 0x2c: + case 0x2f: + /* Westmere. */ + __cpu_model.__cpu_type = INTEL_COREI7; + __cpu_model.__cpu_subtype = INTEL_COREI7_WESTMERE; + break; + case 0x2a: + case 0x2d: + /* Sandy Bridge. */ + __cpu_model.__cpu_type = INTEL_COREI7; + __cpu_model.__cpu_subtype = INTEL_COREI7_SANDYBRIDGE; + break; + case 0x3a: + case 0x3e: + /* Ivy Bridge. */ + __cpu_model.__cpu_type = INTEL_COREI7; + __cpu_model.__cpu_subtype = INTEL_COREI7_IVYBRIDGE; + break; + case 0x3c: + case 0x3f: + case 0x45: + case 0x46: + /* Haswell. */ + __cpu_model.__cpu_type = INTEL_COREI7; + __cpu_model.__cpu_subtype = INTEL_COREI7_HASWELL; + break; + case 0x3d: + case 0x4f: + case 0x56: + /* Broadwell. */ + __cpu_model.__cpu_type = INTEL_COREI7; + __cpu_model.__cpu_subtype = INTEL_COREI7_BROADWELL; + break; + case 0x17: + case 0x1d: + /* Penryn. */ + case 0x0f: + /* Merom. */ + __cpu_model.__cpu_type = INTEL_CORE2; + break; + default: + break; + } + break; + default: + /* We have no idea. */ + break; + } + } +} + +/* ECX and EDX are output of CPUID at level one. MAX_CPUID_LEVEL is + the max possible level of CPUID insn. */ +static void +get_available_features (unsigned int ecx, unsigned int edx, + int max_cpuid_level) +{ + unsigned int features = 0; + + if (edx & bit_CMOV) + features |= (1 << FEATURE_CMOV); + if (edx & bit_MMX) + features |= (1 << FEATURE_MMX); + if (edx & bit_SSE) + features |= (1 << FEATURE_SSE); + if (edx & bit_SSE2) + features |= (1 << FEATURE_SSE2); + if (ecx & bit_POPCNT) + features |= (1 << FEATURE_POPCNT); + if (ecx & bit_SSE3) + features |= (1 << FEATURE_SSE3); + if (ecx & bit_SSSE3) + features |= (1 << FEATURE_SSSE3); + if (ecx & bit_SSE4_1) + features |= (1 << FEATURE_SSE4_1); + if (ecx & bit_SSE4_2) + features |= (1 << FEATURE_SSE4_2); + if (ecx & bit_AVX) + features |= (1 << FEATURE_AVX); + if (ecx & bit_FMA) + features |= (1 << FEATURE_FMA); + + /* Get Advanced Features at level 7 (eax = 7, ecx = 0). */ + if (max_cpuid_level >= 7) + { + unsigned int eax, ebx, ecx, edx; + __cpuid_count (7, 0, eax, ebx, ecx, edx); + if (ebx & bit_BMI) + features |= (1 << FEATURE_BMI); + if (ebx & bit_AVX2) + features |= (1 << FEATURE_AVX2); + if (ebx & bit_BMI2) + features |= (1 << FEATURE_BMI2); + if (ebx & bit_AVX512F) + features |= (1 << FEATURE_AVX512F); + } + + unsigned int ext_level; + unsigned int eax, ebx; + /* Check cpuid level of extended features. */ + __cpuid (0x80000000, ext_level, ebx, ecx, edx); + + if (ext_level > 0x80000000) + { + __cpuid (0x80000001, eax, ebx, ecx, edx); + + if (ecx & bit_SSE4a) + features |= (1 << FEATURE_SSE4_A); + if (ecx & bit_FMA4) + features |= (1 << FEATURE_FMA4); + if (ecx & bit_XOP) + features |= (1 << FEATURE_XOP); + } + + __cpu_model.__cpu_features[0] = features; +} + +/* A noinline function calling __get_cpuid. Having many calls to + cpuid in one function in 32-bit mode causes GCC to complain: + "can't find a register in class CLOBBERED_REGS". This is + related to PR rtl-optimization 44174. */ + +static int __attribute__ ((noinline)) +__get_cpuid_output (unsigned int __level, + unsigned int *__eax, unsigned int *__ebx, + unsigned int *__ecx, unsigned int *__edx) +{ + return __get_cpuid (__level, __eax, __ebx, __ecx, __edx); +} + + +/* A constructor function that is sets __cpu_model and __cpu_features with + the right values. This needs to run only once. This constructor is + given the highest priority and it should run before constructors without + the priority set. However, it still runs after ifunc initializers and + needs to be called explicitly there. */ + +int __attribute__ ((constructor CONSTRUCTOR_PRIORITY)) +__cpu_indicator_init (void) +{ + unsigned int eax, ebx, ecx, edx; + + int max_level = 5; + unsigned int vendor; + unsigned int model, family, brand_id; + unsigned int extended_model, extended_family; + + /* This function needs to run just once. */ + if (__cpu_model.__cpu_vendor) + return 0; + + /* Assume cpuid insn present. Run in level 0 to get vendor id. */ + if (!__get_cpuid_output (0, &eax, &ebx, &ecx, &edx)) + { + __cpu_model.__cpu_vendor = VENDOR_OTHER; + return -1; + } + + vendor = ebx; + max_level = eax; + + if (max_level < 1) + { + __cpu_model.__cpu_vendor = VENDOR_OTHER; + return -1; + } + + if (!__get_cpuid_output (1, &eax, &ebx, &ecx, &edx)) + { + __cpu_model.__cpu_vendor = VENDOR_OTHER; + return -1; + } + + model = (eax >> 4) & 0x0f; + family = (eax >> 8) & 0x0f; + brand_id = ebx & 0xff; + extended_model = (eax >> 12) & 0xf0; + extended_family = (eax >> 20) & 0xff; + + if (vendor == signature_INTEL_ebx) + { + /* Adjust model and family for Intel CPUS. */ + if (family == 0x0f) + { + family += extended_family; + model += extended_model; + } + else if (family == 0x06) + model += extended_model; + + /* Get CPU type. */ + get_intel_cpu (family, model, brand_id); + /* Find available features. */ + get_available_features (ecx, edx, max_level); + __cpu_model.__cpu_vendor = VENDOR_INTEL; + } + else if (vendor == signature_AMD_ebx) + { + /* Adjust model and family for AMD CPUS. */ + if (family == 0x0f) + { + family += extended_family; + model += extended_model; + } + + /* Get CPU type. */ + get_amd_cpu (family, model); + /* Find available features. */ + get_available_features (ecx, edx, max_level); + __cpu_model.__cpu_vendor = VENDOR_AMD; + } + else + __cpu_model.__cpu_vendor = VENDOR_OTHER; + + gcc_assert (__cpu_model.__cpu_vendor < VENDOR_MAX); + gcc_assert (__cpu_model.__cpu_type < CPU_TYPE_MAX); + gcc_assert (__cpu_model.__cpu_subtype < CPU_SUBTYPE_MAX); + + return 0; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/crtfastmath.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/crtfastmath.c new file mode 100644 index 0000000000..a0916ac8dc --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/crtfastmath.c @@ -0,0 +1,96 @@ +/* + * Copyright (C) 2005-2015 Free Software Foundation, Inc. + * + * This file is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License as published by the + * Free Software Foundation; either version 3, or (at your option) any + * later version. + * + * This file is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * Under Section 7 of GPL version 3, you are granted additional + * permissions described in the GCC Runtime Library Exception, version + * 3.1, as published by the Free Software Foundation. + * + * You should have received a copy of the GNU General Public License and + * a copy of the GCC Runtime Library Exception along with this program; + * see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + * . + */ + +#ifndef _SOFT_FLOAT +#define MXCSR_DAZ (1 << 6) /* Enable denormals are zero mode */ +#define MXCSR_FTZ (1 << 15) /* Enable flush to zero mode */ + +#ifndef __x86_64__ +/* All 64-bit targets have SSE and DAZ; + only check them explicitly for 32-bit ones. */ +#include "cpuid.h" +#endif + +static void __attribute__((constructor)) +#ifndef __x86_64__ +/* The i386 ABI only requires 4-byte stack alignment, so this is necessary + to make sure the fxsave struct gets correct alignment. + See PR27537 and PR28621. */ +__attribute__ ((force_align_arg_pointer)) +#endif +set_fast_math (void) +{ +#ifndef __x86_64__ + unsigned int eax, ebx, ecx, edx; + + if (!__get_cpuid (1, &eax, &ebx, &ecx, &edx)) + return; + + if (edx & bit_SSE) + { + unsigned int mxcsr; + + if (edx & bit_FXSAVE) + { + /* Check if DAZ is available. */ + struct + { + unsigned short cwd; + unsigned short swd; + unsigned short twd; + unsigned short fop; + unsigned int fip; + unsigned int fcs; + unsigned int foo; + unsigned int fos; + unsigned int mxcsr; + unsigned int mxcsr_mask; + unsigned int st_space[32]; + unsigned int xmm_space[32]; + unsigned int padding[56]; + } __attribute__ ((aligned (16))) fxsave; + + /* This is necessary since some implementations of FXSAVE + do not modify reserved areas within the image. */ + fxsave.mxcsr_mask = 0; + + __builtin_ia32_fxsave (&fxsave); + + mxcsr = fxsave.mxcsr; + + if (fxsave.mxcsr_mask & MXCSR_DAZ) + mxcsr |= MXCSR_DAZ; + } + else + mxcsr = __builtin_ia32_stmxcsr (); + + mxcsr |= MXCSR_FTZ; + __builtin_ia32_ldmxcsr (mxcsr); + } +#else + unsigned int mxcsr = __builtin_ia32_stmxcsr (); + mxcsr |= MXCSR_DAZ | MXCSR_FTZ; + __builtin_ia32_ldmxcsr (mxcsr); +#endif +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/crti.S b/contrib/toolchain/gcc/5x/libgcc/config/i386/crti.S new file mode 100644 index 0000000000..88098d1c54 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/crti.S @@ -0,0 +1,40 @@ +/* crti.S for x86. + + Copyright (C) 1993-2015 Free Software Foundation, Inc. + Written By Fred Fish, Nov 1992 + +This file is free software; you can redistribute it and/or modify it +under the terms of the GNU General Public License as published by the +Free Software Foundation; either version 3, or (at your option) any +later version. + +This file is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + + +/* This file just supplies labeled starting points for the .init and .fini + sections. It is linked in before the values-Xx.o files and also before + crtbegin.o. */ + + .ident "GNU C crti.s" + + .section .init + .globl _init + .type _init,@function +_init: + + .section .fini + .globl _fini + .type _fini,@function +_fini: diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/crtn.S b/contrib/toolchain/gcc/5x/libgcc/config/i386/crtn.S new file mode 100644 index 0000000000..c06889e79e --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/crtn.S @@ -0,0 +1,35 @@ +/* crtn.S for x86. + + Copyright (C) 1993-2015 Free Software Foundation, Inc. + Written By Fred Fish, Nov 1992 + +This file is free software; you can redistribute it and/or modify it +under the terms of the GNU General Public License as published by the +Free Software Foundation; either version 3, or (at your option) any +later version. + +This file is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + + +/* This file just supplies returns for the .init and .fini sections. It is + linked in after all other files. */ + + .ident "GNU C crtn.o" + + .section .init + ret $0x0 + + .section .fini + ret $0x0 diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/crtprec.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/crtprec.c new file mode 100644 index 0000000000..48d5ef301f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/crtprec.c @@ -0,0 +1,49 @@ +/* + * Copyright (C) 2007-2015 Free Software Foundation, Inc. + * + * This file is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License as published by the + * Free Software Foundation; either version 3, or (at your option) any + * later version. + * + * This file is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * Under Section 7 of GPL version 3, you are granted additional + * permissions described in the GCC Runtime Library Exception, version + * 3.1, as published by the Free Software Foundation. + * + * You should have received a copy of the GNU General Public License and + * a copy of the GCC Runtime Library Exception along with this program; + * see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + * . + */ + +#ifndef _SOFT_FLOAT +#if __PREC == 32 + #define X87CW (0 << 8) /* Single precision (24 bits) */ +#elif __PREC == 64 + #define X87CW (2 << 8) /* Double precision (53 bits) */ +#elif __PREC == 80 + #define X87CW (3 << 8) /* Extended precision (64 bits) */ +#else + #error "Wrong precision requested." +#endif + +#define X87CW_PCMASK (3 << 8) + +static void __attribute__((constructor)) +set_precision (void) +{ + unsigned short int cwd; + + asm volatile ("fstcw\t%0" : "=m" (cwd)); + + cwd &= ~X87CW_PCMASK; + cwd |= X87CW; + + asm volatile ("fldcw\t%0" : : "m" (cwd)); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/cygming-crtbegin.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/cygming-crtbegin.c new file mode 100644 index 0000000000..87928e5be2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/cygming-crtbegin.c @@ -0,0 +1,199 @@ +/* crtbegin object for windows32 targets. + Copyright (C) 2007-2015 Free Software Foundation, Inc. + + Contributed by Danny Smith + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Target machine header files require this define. */ +#define IN_LIBGCC2 + +#include "auto-host.h" +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "unwind-dw2-fde.h" + +#define WIN32_LEAN_AND_MEAN +#include + +#ifndef LIBGCC_SONAME +#define LIBGCC_SONAME "libgcc_s.dll" +#endif + +#ifndef LIBGCJ_SONAME +#define LIBGCJ_SONAME "libgcj_s.dll" +#endif + +#if DWARF2_UNWIND_INFO +/* Make the declarations weak. This is critical for + _Jv_RegisterClasses because it lives in libgcj.a */ +extern void __register_frame_info (__attribute__((unused)) const void *, + __attribute__((unused)) struct object *) + TARGET_ATTRIBUTE_WEAK; +extern void *__deregister_frame_info (__attribute__((unused)) const void *) + TARGET_ATTRIBUTE_WEAK; + +/* Work around for current cygwin32 build problems (Bug gas/16858). + Compile weak default functions only for 64-bit systems, + when absolutely necessary. */ +#ifdef __x86_64__ +TARGET_ATTRIBUTE_WEAK void +__register_frame_info (__attribute__((unused)) const void *p, + __attribute__((unused)) struct object *o) +{ +} + +TARGET_ATTRIBUTE_WEAK void * +__deregister_frame_info (__attribute__((unused)) const void *p) +{ + return (void*) 0; +} +#endif +#endif /* DWARF2_UNWIND_INFO */ + +#if TARGET_USE_JCR_SECTION +extern void _Jv_RegisterClasses (__attribute__((unused)) const void *) + TARGET_ATTRIBUTE_WEAK; + +#ifdef __x86_64__ +TARGET_ATTRIBUTE_WEAK void +_Jv_RegisterClasses (__attribute__((unused)) const void *p) +{ +} +#endif +#endif /* TARGET_USE_JCR_SECTION */ + +#if defined(HAVE_LD_RO_RW_SECTION_MIXING) +# define EH_FRAME_SECTION_CONST const +#else +# define EH_FRAME_SECTION_CONST +#endif + +/* Stick a label at the beginning of the frame unwind info so we can + register/deregister it with the exception handling library code. */ +#if DWARF2_UNWIND_INFO +static EH_FRAME_SECTION_CONST char __EH_FRAME_BEGIN__[] + __attribute__((used, section(__LIBGCC_EH_FRAME_SECTION_NAME__), aligned(4))) + = { }; + +static struct object obj; + +/* Handle of libgcc's DLL reference. */ +HANDLE hmod_libgcc; +static void * (*deregister_frame_fn) (const void *) = NULL; +#endif + +#if TARGET_USE_JCR_SECTION +static void *__JCR_LIST__[] + __attribute__ ((used, section(__LIBGCC_JCR_SECTION_NAME__), aligned(4))) + = { }; +#endif + +#ifdef __CYGWIN__ +/* Declare the __dso_handle variable. It should have a unique value + in every shared-object; in a main program its value is zero. The + object should in any case be protected. This means the instance + in one DSO or the main program is not used in another object. The + dynamic linker takes care of this. */ + +#ifdef CRTSTUFFS_O +extern void *__ImageBase; +void *__dso_handle = &__ImageBase; +#else +void *__dso_handle = 0; +#endif + +#endif /* __CYGWIN__ */ + + +/* Pull in references from libgcc.a(unwind-dw2-fde.o) in the + startfile. These are referenced by a ctor and dtor in crtend.o. */ +extern void __gcc_register_frame (void); +extern void __gcc_deregister_frame (void); + +void +__gcc_register_frame (void) +{ +#if DWARF2_UNWIND_INFO +/* Weak undefined symbols won't be pulled in from dlls; hence + we first test if the dll is already loaded and, if so, + get the symbol's address at run-time. If the dll is not loaded, + fallback to weak linkage to static archive. */ + + void (*register_frame_fn) (const void *, struct object *); + HANDLE h = GetModuleHandle (LIBGCC_SONAME); + + if (h) + { + /* Increasing the load-count of LIBGCC_SONAME DLL. */ + hmod_libgcc = LoadLibrary (LIBGCC_SONAME); + register_frame_fn = (void (*) (const void *, struct object *)) + GetProcAddress (h, "__register_frame_info"); + deregister_frame_fn = (void* (*) (const void *)) + GetProcAddress (h, "__deregister_frame_info"); + } + else + { + register_frame_fn = __register_frame_info; + deregister_frame_fn = __deregister_frame_info; + } + if (register_frame_fn) + register_frame_fn (__EH_FRAME_BEGIN__, &obj); +#endif + +#if TARGET_USE_JCR_SECTION + if (__JCR_LIST__[0]) + { + void (*register_class_fn) (const void *); + HANDLE h = GetModuleHandle (LIBGCJ_SONAME); + if (h) + register_class_fn = (void (*) (const void *)) + GetProcAddress (h, "_Jv_RegisterClasses"); + else + register_class_fn = _Jv_RegisterClasses; + + if (register_class_fn) + register_class_fn (__JCR_LIST__); + } +#endif + +#if DEFAULT_USE_CXA_ATEXIT + /* If we use the __cxa_atexit method to register C++ dtors + at object construction, also use atexit to register eh frame + info cleanup. */ + atexit(__gcc_deregister_frame); +#endif /* DEFAULT_USE_CXA_ATEXIT */ +} + +void +__gcc_deregister_frame (void) +{ +#if DWARF2_UNWIND_INFO + if (deregister_frame_fn) + deregister_frame_fn (__EH_FRAME_BEGIN__); + if (hmod_libgcc) + FreeLibrary (hmod_libgcc); +#endif +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/cygming-crtend.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/cygming-crtend.c new file mode 100644 index 0000000000..717a8fb02c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/cygming-crtend.c @@ -0,0 +1,83 @@ +/* crtend object for windows32 targets. + Copyright (C) 2007-2015 Free Software Foundation, Inc. + + Contributed by Danny Smith + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Target machine header files require this define. */ +#define IN_LIBGCC2 + +/* auto-host.h is needed by cygming.h for HAVE_GAS_WEAK and here + for HAVE_LD_RO_RW_SECTION_MIXING. */ +#include "auto-host.h" +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "unwind-dw2-fde.h" + +#if defined(HAVE_LD_RO_RW_SECTION_MIXING) +# define EH_FRAME_SECTION_CONST const +#else +# define EH_FRAME_SECTION_CONST +#endif + +#if DWARF2_UNWIND_INFO +/* Terminate the frame unwind info section with a 0 as a sentinel; + this would be the 'length' field in a real FDE. */ + +static EH_FRAME_SECTION_CONST int __FRAME_END__[] + __attribute__ ((used, section(__LIBGCC_EH_FRAME_SECTION_NAME__), + aligned(4))) + = { 0 }; +#endif + +#if TARGET_USE_JCR_SECTION +/* Null terminate the .jcr section array. */ +static void *__JCR_END__[1] + __attribute__ ((used, section(__LIBGCC_JCR_SECTION_NAME__), + aligned(sizeof(void *)))) + = { 0 }; +#endif + +extern void __gcc_register_frame (void); +extern void __gcc_deregister_frame (void); + +static void register_frame_ctor (void) __attribute__ ((constructor (0))); + +static void +register_frame_ctor (void) +{ + __gcc_register_frame (); +} + +#if !DEFAULT_USE_CXA_ATEXIT +static void deregister_frame_dtor (void) __attribute__ ((destructor (0))); + +static void +deregister_frame_dtor (void) +{ + __gcc_deregister_frame (); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/cygwin.S b/contrib/toolchain/gcc/5x/libgcc/config/i386/cygwin.S new file mode 100644 index 0000000000..ed763a3300 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/cygwin.S @@ -0,0 +1,187 @@ +/* stuff needed for libgcc on win32. + * + * Copyright (C) 1996-2015 Free Software Foundation, Inc. + * Written By Steve Chamberlain + * + * This file is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License as published by the + * Free Software Foundation; either version 3, or (at your option) any + * later version. + * + * This file is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * Under Section 7 of GPL version 3, you are granted additional + * permissions described in the GCC Runtime Library Exception, version + * 3.1, as published by the Free Software Foundation. + * + * You should have received a copy of the GNU General Public License and + * a copy of the GCC Runtime Library Exception along with this program; + * see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + * . + */ + +#include "auto-host.h" + +#ifdef HAVE_GAS_CFI_SECTIONS_DIRECTIVE + .cfi_sections .debug_frame +# define cfi_startproc() .cfi_startproc +# define cfi_endproc() .cfi_endproc +# define cfi_adjust_cfa_offset(X) .cfi_adjust_cfa_offset X +# define cfi_def_cfa_register(X) .cfi_def_cfa_register X +# define cfi_register(D,S) .cfi_register D, S +# ifdef __x86_64__ +# define cfi_push(X) .cfi_adjust_cfa_offset 8; .cfi_rel_offset X, 0 +# define cfi_pop(X) .cfi_adjust_cfa_offset -8; .cfi_restore X +# else +# define cfi_push(X) .cfi_adjust_cfa_offset 4; .cfi_rel_offset X, 0 +# define cfi_pop(X) .cfi_adjust_cfa_offset -4; .cfi_restore X +# endif +#else +# define cfi_startproc() +# define cfi_endproc() +# define cfi_adjust_cfa_offset(X) +# define cfi_def_cfa_register(X) +# define cfi_register(D,S) +# define cfi_push(X) +# define cfi_pop(X) +#endif /* HAVE_GAS_CFI_SECTIONS_DIRECTIVE */ + +#ifdef L_chkstk +/* Function prologue calls __chkstk to probe the stack when allocating more + than CHECK_STACK_LIMIT bytes in one go. Touching the stack at 4K + increments is necessary to ensure that the guard pages used + by the OS virtual memory manger are allocated in correct sequence. */ + + .global ___chkstk + .global __alloca +#ifdef __x86_64__ +/* __alloca is a normal function call, which uses %rcx as the argument. */ + cfi_startproc() +__alloca: + movq %rcx, %rax + /* FALLTHRU */ + +/* ___chkstk is a *special* function call, which uses %rax as the argument. + We avoid clobbering the 4 integer argument registers, %rcx, %rdx, + %r8 and %r9, which leaves us with %rax, %r10, and %r11 to use. */ + .align 4 +___chkstk: + popq %r11 /* pop return address */ + cfi_adjust_cfa_offset(-8) /* indicate return address in r11 */ + cfi_register(%rip, %r11) + movq %rsp, %r10 + cmpq $0x1000, %rax /* > 4k ?*/ + jb 2f + +1: subq $0x1000, %r10 /* yes, move pointer down 4k*/ + orl $0x0, (%r10) /* probe there */ + subq $0x1000, %rax /* decrement count */ + cmpq $0x1000, %rax + ja 1b /* and do it again */ + +2: subq %rax, %r10 + movq %rsp, %rax /* hold CFA until return */ + cfi_def_cfa_register(%rax) + orl $0x0, (%r10) /* less than 4k, just peek here */ + movq %r10, %rsp /* decrement stack */ + + /* Push the return value back. Doing this instead of just + jumping to %r11 preserves the cached call-return stack + used by most modern processors. */ + pushq %r11 + ret + cfi_endproc() +#else + cfi_startproc() +___chkstk: +__alloca: + pushl %ecx /* save temp */ + cfi_push(%eax) + leal 8(%esp), %ecx /* point past return addr */ + cmpl $0x1000, %eax /* > 4k ?*/ + jb 2f + +1: subl $0x1000, %ecx /* yes, move pointer down 4k*/ + orl $0x0, (%ecx) /* probe there */ + subl $0x1000, %eax /* decrement count */ + cmpl $0x1000, %eax + ja 1b /* and do it again */ + +2: subl %eax, %ecx + orl $0x0, (%ecx) /* less than 4k, just peek here */ + movl %esp, %eax /* save current stack pointer */ + cfi_def_cfa_register(%eax) + movl %ecx, %esp /* decrement stack */ + movl (%eax), %ecx /* recover saved temp */ + + /* Copy the return register. Doing this instead of just jumping to + the address preserves the cached call-return stack used by most + modern processors. */ + pushl 4(%eax) + ret + cfi_endproc() +#endif /* __x86_64__ */ +#endif /* L_chkstk */ + +#ifdef L_chkstk_ms +/* ___chkstk_ms is a *special* function call, which uses %rax as the argument. + We avoid clobbering any registers. Unlike ___chkstk, it just probes the + stack and does no stack allocation. */ + .global ___chkstk_ms +#ifdef __x86_64__ + cfi_startproc() +___chkstk_ms: + pushq %rcx /* save temps */ + cfi_push(%rcx) + pushq %rax + cfi_push(%rax) + cmpq $0x1000, %rax /* > 4k ?*/ + leaq 24(%rsp), %rcx /* point past return addr */ + jb 2f + +1: subq $0x1000, %rcx /* yes, move pointer down 4k */ + orq $0x0, (%rcx) /* probe there */ + subq $0x1000, %rax /* decrement count */ + cmpq $0x1000, %rax + ja 1b /* and do it again */ + +2: subq %rax, %rcx + orq $0x0, (%rcx) /* less than 4k, just peek here */ + + popq %rax + cfi_pop(%rax) + popq %rcx + cfi_pop(%rcx) + ret + cfi_endproc() +#else + cfi_startproc() +___chkstk_ms: + pushl %ecx /* save temp */ + cfi_push(%ecx) + pushl %eax + cfi_push(%eax) + cmpl $0x1000, %eax /* > 4k ?*/ + leal 12(%esp), %ecx /* point past return addr */ + jb 2f + +1: subl $0x1000, %ecx /* yes, move pointer down 4k*/ + orl $0x0, (%ecx) /* probe there */ + subl $0x1000, %eax /* decrement count */ + cmpl $0x1000, %eax + ja 1b /* and do it again */ + +2: subl %eax, %ecx + orl $0x0, (%ecx) /* less than 4k, just peek here */ + + popl %eax + cfi_pop(%eax) + popl %ecx + cfi_pop(%ecx) + ret + cfi_endproc() +#endif /* __x86_64__ */ +#endif /* L_chkstk_ms */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/darwin-lib.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/darwin-lib.h new file mode 100644 index 0000000000..d435803384 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/darwin-lib.h @@ -0,0 +1,32 @@ +/* Target definitions for x86 running Darwin, library renames. + Copyright (C) 2011-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* The system ___divdc3 routine in libSystem on darwin10 is not + accurate to 1ulp, ours is, so we avoid ever using the system name + for this routine and instead install a non-conflicting name that is + accurate. See darwin_rename_builtins. */ +#ifdef L_divdc3 +#define DECLARE_LIBRARY_RENAMES \ + asm(".text; ___divdc3: jmp ___ieee_divdc3 ; .globl ___divdc3"); +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/dragonfly-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/dragonfly-unwind.h new file mode 100644 index 0000000000..b06211239c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/dragonfly-unwind.h @@ -0,0 +1,180 @@ +/* DWARF2 EH unwinding support for DragonFly BSD: AMD x86-64 and x86. + Copyright (C) 2014-2015 Free Software Foundation, Inc. + Contributed by John Marino + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Do code reading to identify a signal frame, and set the frame + state data appropriately. See unwind-dw2.c for the structs. */ + +#include +#include +#include +#include +#include + + +#define REG_NAME(reg) sf_uc.uc_mcontext.mc_## reg + +#ifdef __x86_64__ +#define MD_FALLBACK_FRAME_STATE_FOR x86_64_dragonfly_fallback_frame_state + + +static void +x86_64_sigtramp_range (unsigned char **start, unsigned char **end) +{ + unsigned long ps_strings; + int mib[2]; + size_t len; + + mib[0] = CTL_KERN; + mib[1] = KERN_PS_STRINGS; + len = sizeof (ps_strings); + sysctl (mib, 2, &ps_strings, &len, NULL, 0); + + *start = (unsigned char *)ps_strings - 32; + *end = (unsigned char *)ps_strings; +} + + +static _Unwind_Reason_Code +x86_64_dragonfly_fallback_frame_state +(struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + unsigned char *pc = context->ra; + unsigned char *sigtramp_start, *sigtramp_end; + struct sigframe *sf; + long new_cfa; + + x86_64_sigtramp_range(&sigtramp_start, &sigtramp_end); + if (pc >= sigtramp_end || pc < sigtramp_start) + return _URC_END_OF_STACK; + + sf = (struct sigframe *) context->cfa; + new_cfa = sf->REG_NAME(rsp); + fs->regs.cfa_how = CFA_REG_OFFSET; + /* Register 7 is rsp */ + fs->regs.cfa_reg = 7; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&sf->REG_NAME(rax) - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&sf->REG_NAME(rdx) - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&sf->REG_NAME(rcx) - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&sf->REG_NAME(rbx) - new_cfa; + fs->regs.reg[4].how = REG_SAVED_OFFSET; + fs->regs.reg[4].loc.offset = (long)&sf->REG_NAME(rsi) - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&sf->REG_NAME(rdi) - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&sf->REG_NAME(rbp) - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&sf->REG_NAME(r8) - new_cfa; + fs->regs.reg[9].how = REG_SAVED_OFFSET; + fs->regs.reg[9].loc.offset = (long)&sf->REG_NAME(r9) - new_cfa; + fs->regs.reg[10].how = REG_SAVED_OFFSET; + fs->regs.reg[10].loc.offset = (long)&sf->REG_NAME(r10) - new_cfa; + fs->regs.reg[11].how = REG_SAVED_OFFSET; + fs->regs.reg[11].loc.offset = (long)&sf->REG_NAME(r11) - new_cfa; + fs->regs.reg[12].how = REG_SAVED_OFFSET; + fs->regs.reg[12].loc.offset = (long)&sf->REG_NAME(r12) - new_cfa; + fs->regs.reg[13].how = REG_SAVED_OFFSET; + fs->regs.reg[13].loc.offset = (long)&sf->REG_NAME(r13) - new_cfa; + fs->regs.reg[14].how = REG_SAVED_OFFSET; + fs->regs.reg[14].loc.offset = (long)&sf->REG_NAME(r14) - new_cfa; + fs->regs.reg[15].how = REG_SAVED_OFFSET; + fs->regs.reg[15].loc.offset = (long)&sf->REG_NAME(r15) - new_cfa; + fs->regs.reg[16].how = REG_SAVED_OFFSET; + fs->regs.reg[16].loc.offset = (long)&sf->REG_NAME(rip) - new_cfa; + fs->retaddr_column = 16; + fs->signal_frame = 1; + return _URC_NO_REASON; +} + +#else /* Next section is for i386 */ + +#define MD_FALLBACK_FRAME_STATE_FOR x86_dragonfly_fallback_frame_state + + +static void +x86_sigtramp_range (unsigned char **start, unsigned char **end) +{ + unsigned long ps_strings; + int mib[2]; + size_t len; + + mib[0] = CTL_KERN; + mib[1] = KERN_PS_STRINGS; + len = sizeof (ps_strings); + sysctl (mib, 2, &ps_strings, &len, NULL, 0); + + *start = (unsigned char *)ps_strings - 128; + *end = (unsigned char *)ps_strings; +} + + +static _Unwind_Reason_Code +x86_dragonfly_fallback_frame_state +(struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + unsigned char *pc = context->ra; + unsigned char *sigtramp_start, *sigtramp_end; + struct sigframe *sf; + long new_cfa; + + x86_sigtramp_range(&sigtramp_start, &sigtramp_end); + + if (pc >= sigtramp_end || pc < sigtramp_start) + return _URC_END_OF_STACK; + + sf = (struct sigframe *) context->cfa; + new_cfa = sf->REG_NAME(esp); + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = 4; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&sf->REG_NAME(eax) - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&sf->REG_NAME(ebx) - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&sf->REG_NAME(ecx) - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&sf->REG_NAME(edx) - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&sf->REG_NAME(esi) - new_cfa; + fs->regs.reg[7].how = REG_SAVED_OFFSET; + fs->regs.reg[7].loc.offset = (long)&sf->REG_NAME(edi) - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&sf->REG_NAME(ebp) - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&sf->REG_NAME(eip) - new_cfa; + fs->retaddr_column = 8; + fs->signal_frame = 1; + return _URC_NO_REASON; +} +#endif /* ifdef __x86_64__ */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/elf-lib.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/elf-lib.h new file mode 100644 index 0000000000..4411185155 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/elf-lib.h @@ -0,0 +1,36 @@ +/* Definitions for Intel 386 ELF systems. + Copyright (C) 2015 Free Software Foundation, Inc. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifdef __i386__ +/* Used by crtstuff.c to initialize the base of data-relative relocations. + These are GOT relative on x86, so return the pic register. */ +#define CRT_GET_RFIB_DATA(BASE) \ + __asm__ ("call\t.LPR%=\n" \ + ".LPR%=:\n\t" \ + "pop{l}\t%0\n\t" \ + /* Due to a GAS bug, this cannot use EAX. That encodes \ + smaller than the traditional EBX, which results in the \ + offset being off by one. */ \ + "add{l}\t{$_GLOBAL_OFFSET_TABLE_+[.-.LPR%=],%0" \ + "|%0,_GLOBAL_OFFSET_TABLE_+(.-.LPR%=)}" \ + : "=d"(BASE)) +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/enable-execute-stack-mingw32.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/enable-execute-stack-mingw32.c new file mode 100644 index 0000000000..acc0f0e9cd --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/enable-execute-stack-mingw32.c @@ -0,0 +1,38 @@ +/* Implement __enable_execute_stack for Windows32. + Copyright (C) 2011-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it under + the terms of the GNU General Public License as published by the Free + Software Foundation; either version 3, or (at your option) any later + version. + + GCC is distributed in the hope that it will be useful, but WITHOUT ANY + WARRANTY; without even the implied warranty of MERCHANTABILITY or + FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#include + +extern void __enable_execute_stack (void *); + +void +__enable_execute_stack (void *addr) +{ + MEMORY_BASIC_INFORMATION b; + + if (!VirtualQuery (addr, &b, sizeof(b))) + abort (); + VirtualProtect (b.BaseAddress, b.RegionSize, PAGE_EXECUTE_READWRITE, + &b.Protect); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/freebsd-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/freebsd-unwind.h new file mode 100644 index 0000000000..b83ba0db50 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/freebsd-unwind.h @@ -0,0 +1,173 @@ +/* DWARF2 EH unwinding support for FreeBSD: AMD x86-64 and x86. + Copyright (C) 2015 Free Software Foundation, Inc. + Contributed by John Marino + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Do code reading to identify a signal frame, and set the frame + state data appropriately. See unwind-dw2.c for the structs. */ + +#include +#include +#include +#include + +#define REG_NAME(reg) sf_uc.uc_mcontext.mc_## reg + +#ifdef __x86_64__ +#define MD_FALLBACK_FRAME_STATE_FOR x86_64_freebsd_fallback_frame_state + +static _Unwind_Reason_Code +x86_64_freebsd_fallback_frame_state +(struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + struct sigframe *sf; + long new_cfa; + + /* Prior to FreeBSD 9, the signal trampoline was located immediately + before the ps_strings. To support non-executable stacks on AMD64, + the sigtramp was moved to a shared page for FreeBSD 9. Unfortunately + this means looking frame patterns again (sys/amd64/amd64/sigtramp.S) + rather than using the robust and convenient KERN_PS_STRINGS trick. + + : lea 0x10(%rsp),%rdi + : pushq $0x0 + : mov $0x1a1,%rax + : syscall + + If we can't find this pattern, we're at the end of the stack. + */ + + if (!( *(unsigned int *)(context->ra) == 0x247c8d48 + && *(unsigned int *)(context->ra + 4) == 0x48006a10 + && *(unsigned int *)(context->ra + 8) == 0x01a1c0c7 + && *(unsigned int *)(context->ra + 12) == 0x050f0000 )) + return _URC_END_OF_STACK; + + sf = (struct sigframe *) context->cfa; + new_cfa = sf->REG_NAME(rsp); + fs->regs.cfa_how = CFA_REG_OFFSET; + /* Register 7 is rsp */ + fs->regs.cfa_reg = 7; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&sf->REG_NAME(rax) - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&sf->REG_NAME(rdx) - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&sf->REG_NAME(rcx) - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&sf->REG_NAME(rbx) - new_cfa; + fs->regs.reg[4].how = REG_SAVED_OFFSET; + fs->regs.reg[4].loc.offset = (long)&sf->REG_NAME(rsi) - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&sf->REG_NAME(rdi) - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&sf->REG_NAME(rbp) - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&sf->REG_NAME(r8) - new_cfa; + fs->regs.reg[9].how = REG_SAVED_OFFSET; + fs->regs.reg[9].loc.offset = (long)&sf->REG_NAME(r9) - new_cfa; + fs->regs.reg[10].how = REG_SAVED_OFFSET; + fs->regs.reg[10].loc.offset = (long)&sf->REG_NAME(r10) - new_cfa; + fs->regs.reg[11].how = REG_SAVED_OFFSET; + fs->regs.reg[11].loc.offset = (long)&sf->REG_NAME(r11) - new_cfa; + fs->regs.reg[12].how = REG_SAVED_OFFSET; + fs->regs.reg[12].loc.offset = (long)&sf->REG_NAME(r12) - new_cfa; + fs->regs.reg[13].how = REG_SAVED_OFFSET; + fs->regs.reg[13].loc.offset = (long)&sf->REG_NAME(r13) - new_cfa; + fs->regs.reg[14].how = REG_SAVED_OFFSET; + fs->regs.reg[14].loc.offset = (long)&sf->REG_NAME(r14) - new_cfa; + fs->regs.reg[15].how = REG_SAVED_OFFSET; + fs->regs.reg[15].loc.offset = (long)&sf->REG_NAME(r15) - new_cfa; + fs->regs.reg[16].how = REG_SAVED_OFFSET; + fs->regs.reg[16].loc.offset = (long)&sf->REG_NAME(rip) - new_cfa; + fs->retaddr_column = 16; + fs->signal_frame = 1; + return _URC_NO_REASON; +} + +#else /* Next section is for i386 */ + +#define MD_FALLBACK_FRAME_STATE_FOR x86_freebsd_fallback_frame_state + +/* + * We can't use KERN_PS_STRINGS anymore if we want to support FreeBSD32 + * compat on AMD64. The sigtramp is in a shared page in that case so the + * x86_sigtramp_range only works on a true i386 system. We have to + * search for the sigtramp frame if we want it working everywhere. + */ + +static _Unwind_Reason_Code +x86_freebsd_fallback_frame_state +(struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + struct sigframe *sf; + long new_cfa; + +/* + * i386 sigtramp frame we are looking for follows. + * Apparently PSL_VM is variable, so we can't look past context->ra + 4 + * : + * 0: ff 54 24 10 call *0x10(%esp) *SIGF_HANDLER + * 4: 8d 44 24 20 lea 0x20(%esp),%eax SIGF_UC + * 8: 50 push %eax + * 9: f7 40 54 00 00 02 00 testl $0x20000,0x54(%eax) $PSL_VM + * 10: 75 03 jne 15 + * 12: 8e 68 14 mov 0x14(%eax),%gs UC_GS + * 15: b8 a1 01 00 00 mov 0x1a1,%eax $SYS_sigreturn + */ + + if (!( *(unsigned int *)(context->ra - 4) == 0x102454ff + && *(unsigned int *)(context->ra) == 0x2024448d )) + return _URC_END_OF_STACK; + + sf = (struct sigframe *) context->cfa; + new_cfa = sf->REG_NAME(esp); + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = 4; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&sf->REG_NAME(eax) - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&sf->REG_NAME(ebx) - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&sf->REG_NAME(ecx) - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&sf->REG_NAME(edx) - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&sf->REG_NAME(esi) - new_cfa; + fs->regs.reg[7].how = REG_SAVED_OFFSET; + fs->regs.reg[7].loc.offset = (long)&sf->REG_NAME(edi) - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&sf->REG_NAME(ebp) - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&sf->REG_NAME(eip) - new_cfa; + fs->retaddr_column = 8; + fs->signal_frame = 1; + return _URC_NO_REASON; +} +#endif /* ifdef __x86_64__ */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/gthr-win32.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/gthr-win32.c new file mode 100644 index 0000000000..8492d54c4a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/gthr-win32.c @@ -0,0 +1,267 @@ +/* Implementation of W32-specific threads compatibility routines for + libgcc2. */ + +/* Copyright (C) 1999-2015 Free Software Foundation, Inc. + Contributed by Mumit Khan . + Modified and moved to separate file by Danny Smith + . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include +#ifndef __GTHREAD_HIDE_WIN32API +# define __GTHREAD_HIDE_WIN32API 1 +#endif +#undef __GTHREAD_I486_INLINE_LOCK_PRIMITIVES +#define __GTHREAD_I486_INLINE_LOCK_PRIMITIVES +#include "gthr-win32.h" + +/* Windows32 threads specific definitions. The windows32 threading model + does not map well into pthread-inspired gcc's threading model, and so + there are caveats one needs to be aware of. + + 1. The destructor supplied to __gthread_key_create is ignored for + generic x86-win32 ports. This will certainly cause memory leaks + due to unreclaimed eh contexts (sizeof (eh_context) is at least + 24 bytes for x86 currently). + + This memory leak may be significant for long-running applications + that make heavy use of C++ EH. + + However, Mingw runtime (version 0.3 or newer) provides a mechanism + to emulate pthreads key dtors; the runtime provides a special DLL, + linked in if -mthreads option is specified, that runs the dtors in + the reverse order of registration when each thread exits. If + -mthreads option is not given, a stub is linked in instead of the + DLL, which results in memory leak. Other x86-win32 ports can use + the same technique of course to avoid the leak. + + 2. The error codes returned are non-POSIX like, and cast into ints. + This may cause incorrect error return due to truncation values on + hw where sizeof (DWORD) > sizeof (int). + + 3. We are currently using a special mutex instead of the Critical + Sections, since Win9x does not support TryEnterCriticalSection + (while NT does). + + The basic framework should work well enough. In the long term, GCC + needs to use Structured Exception Handling on Windows32. */ + +int +__gthr_win32_once (__gthread_once_t *once, void (*func) (void)) +{ + if (once == NULL || func == NULL) + return EINVAL; + + if (! once->done) + { + if (InterlockedIncrement (&(once->started)) == 0) + { + (*func) (); + once->done = TRUE; + } + else + { + /* Another thread is currently executing the code, so wait for it + to finish; yield the CPU in the meantime. If performance + does become an issue, the solution is to use an Event that + we wait on here (and set above), but that implies a place to + create the event before this routine is called. */ + while (! once->done) + Sleep (0); + } + } + return 0; +} + +/* Windows32 thread local keys don't support destructors; this leads to + leaks, especially in threaded applications making extensive use of + C++ EH. Mingw uses a thread-support DLL to work-around this problem. */ + +int +__gthr_win32_key_create (__gthread_key_t *key, + void (*dtor) (void *) __attribute__((unused))) +{ + int status = 0; + DWORD tls_index = TlsAlloc (); + if (tls_index != 0xFFFFFFFF) + { + *key = tls_index; +#ifdef MINGW32_SUPPORTS_MT_EH + /* Mingw runtime will run the dtors in reverse order for each thread + when the thread exits. */ + status = __mingwthr_key_dtor (*key, dtor); +#endif + } + else + status = (int) GetLastError (); + return status; +} + +int +__gthr_win32_key_delete (__gthread_key_t key) +{ + return (TlsFree (key) != 0) ? 0 : (int) GetLastError (); +} + +void * +__gthr_win32_getspecific (__gthread_key_t key) +{ + DWORD lasterror; + void *ptr; + lasterror = GetLastError(); + ptr = TlsGetValue(key); + SetLastError( lasterror ); + return ptr; +} + +int +__gthr_win32_setspecific (__gthread_key_t key, const void *ptr) +{ + if (TlsSetValue (key, CONST_CAST2(void *, const void *, ptr)) != 0) + return 0; + else + return GetLastError (); +} + +void +__gthr_win32_mutex_init_function (__gthread_mutex_t *mutex) +{ + mutex->counter = -1; + mutex->sema = CreateSemaphoreW (NULL, 0, 65535, NULL); +} + +void +__gthr_win32_mutex_destroy (__gthread_mutex_t *mutex) +{ + CloseHandle ((HANDLE) mutex->sema); +} + +int +__gthr_win32_mutex_lock (__gthread_mutex_t *mutex) +{ + if (InterlockedIncrement (&mutex->counter) == 0 || + WaitForSingleObject (mutex->sema, INFINITE) == WAIT_OBJECT_0) + return 0; + else + { + /* WaitForSingleObject returns WAIT_FAILED, and we can only do + some best-effort cleanup here. */ + InterlockedDecrement (&mutex->counter); + return 1; + } +} + +int +__gthr_win32_mutex_trylock (__gthread_mutex_t *mutex) +{ + if (__GTHR_W32_InterlockedCompareExchange (&mutex->counter, 0, -1) < 0) + return 0; + else + return 1; +} + +int +__gthr_win32_mutex_unlock (__gthread_mutex_t *mutex) +{ + if (InterlockedDecrement (&mutex->counter) >= 0) + return ReleaseSemaphore (mutex->sema, 1, NULL) ? 0 : 1; + else + return 0; +} + +void +__gthr_win32_recursive_mutex_init_function (__gthread_recursive_mutex_t *mutex) +{ + mutex->counter = -1; + mutex->depth = 0; + mutex->owner = 0; + mutex->sema = CreateSemaphoreW (NULL, 0, 65535, NULL); +} + +int +__gthr_win32_recursive_mutex_lock (__gthread_recursive_mutex_t *mutex) +{ + DWORD me = GetCurrentThreadId(); + if (InterlockedIncrement (&mutex->counter) == 0) + { + mutex->depth = 1; + mutex->owner = me; + } + else if (mutex->owner == me) + { + InterlockedDecrement (&mutex->counter); + ++(mutex->depth); + } + else if (WaitForSingleObject (mutex->sema, INFINITE) == WAIT_OBJECT_0) + { + mutex->depth = 1; + mutex->owner = me; + } + else + { + /* WaitForSingleObject returns WAIT_FAILED, and we can only do + some best-effort cleanup here. */ + InterlockedDecrement (&mutex->counter); + return 1; + } + return 0; +} + +int +__gthr_win32_recursive_mutex_trylock (__gthread_recursive_mutex_t *mutex) +{ + DWORD me = GetCurrentThreadId(); + if (__GTHR_W32_InterlockedCompareExchange (&mutex->counter, 0, -1) < 0) + { + mutex->depth = 1; + mutex->owner = me; + } + else if (mutex->owner == me) + ++(mutex->depth); + else + return 1; + + return 0; +} + +int +__gthr_win32_recursive_mutex_unlock (__gthread_recursive_mutex_t *mutex) +{ + --(mutex->depth); + if (mutex->depth == 0) + { + mutex->owner = 0; + + if (InterlockedDecrement (&mutex->counter) >= 0) + return ReleaseSemaphore (mutex->sema, 1, NULL) ? 0 : 1; + } + + return 0; +} + +int +__gthr_win32_recursive_mutex_destroy (__gthread_recursive_mutex_t *mutex) +{ + CloseHandle ((HANDLE) mutex->sema); + return 0; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/gthr-win32.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/gthr-win32.h new file mode 100644 index 0000000000..3f3e308027 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/gthr-win32.h @@ -0,0 +1,786 @@ +/* Threads compatibility routines for libgcc2 and libobjc. */ +/* Compile this one with gcc. */ + +/* Copyright (C) 1999-2015 Free Software Foundation, Inc. + Contributed by Mumit Khan . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_WIN32_H +#define GCC_GTHR_WIN32_H + +/* Make sure CONST_CAST2 (origin in system.h) is declared. */ +#ifndef CONST_CAST2 +#define CONST_CAST2(TOTYPE,FROMTYPE,X) ((__extension__(union {FROMTYPE _q; TOTYPE _nq;})(X))._nq) +#endif + +/* Windows32 threads specific definitions. The windows32 threading model + does not map well into pthread-inspired gcc's threading model, and so + there are caveats one needs to be aware of. + + 1. The destructor supplied to __gthread_key_create is ignored for + generic x86-win32 ports. This will certainly cause memory leaks + due to unreclaimed eh contexts (sizeof (eh_context) is at least + 24 bytes for x86 currently). + + This memory leak may be significant for long-running applications + that make heavy use of C++ EH. + + However, Mingw runtime (version 0.3 or newer) provides a mechanism + to emulate pthreads key dtors; the runtime provides a special DLL, + linked in if -mthreads option is specified, that runs the dtors in + the reverse order of registration when each thread exits. If + -mthreads option is not given, a stub is linked in instead of the + DLL, which results in memory leak. Other x86-win32 ports can use + the same technique of course to avoid the leak. + + 2. The error codes returned are non-POSIX like, and cast into ints. + This may cause incorrect error return due to truncation values on + hw where sizeof (DWORD) > sizeof (int). + + 3. We are currently using a special mutex instead of the Critical + Sections, since Win9x does not support TryEnterCriticalSection + (while NT does). + + The basic framework should work well enough. In the long term, GCC + needs to use Structured Exception Handling on Windows32. */ + +#define __GTHREADS 1 + +#include +#ifdef __MINGW32__ +#include <_mingw.h> +#endif + +#ifndef __UNUSED_PARAM +#define __UNUSED_PARAM(x) x +#endif + +#ifdef _LIBOBJC + +/* This is necessary to prevent windef.h (included from windows.h) from + defining its own BOOL as a typedef. */ +#ifndef __OBJC__ +#define __OBJC__ +#endif +#include +/* Now undef the windows BOOL. */ +#undef BOOL + +/* Key structure for maintaining thread specific storage */ +static DWORD __gthread_objc_data_tls = (DWORD) -1; + +/* Backend initialization functions */ + +/* Initialize the threads subsystem. */ +int +__gthread_objc_init_thread_system (void) +{ + /* Initialize the thread storage key. */ + if ((__gthread_objc_data_tls = TlsAlloc ()) != (DWORD) -1) + return 0; + else + return -1; +} + +/* Close the threads subsystem. */ +int +__gthread_objc_close_thread_system (void) +{ + if (__gthread_objc_data_tls != (DWORD) -1) + TlsFree (__gthread_objc_data_tls); + return 0; +} + +/* Backend thread functions */ + +/* Create a new thread of execution. */ +objc_thread_t +__gthread_objc_thread_detach (void (*func)(void *arg), void *arg) +{ + DWORD thread_id = 0; + HANDLE win32_handle; + + if (!(win32_handle = CreateThread (NULL, 0, (LPTHREAD_START_ROUTINE) func, + arg, 0, &thread_id))) + thread_id = 0; + + return (objc_thread_t) (INT_PTR) thread_id; +} + +/* Set the current thread's priority. */ +int +__gthread_objc_thread_set_priority (int priority) +{ + int sys_priority = 0; + + switch (priority) + { + case OBJC_THREAD_INTERACTIVE_PRIORITY: + sys_priority = THREAD_PRIORITY_NORMAL; + break; + default: + case OBJC_THREAD_BACKGROUND_PRIORITY: + sys_priority = THREAD_PRIORITY_BELOW_NORMAL; + break; + case OBJC_THREAD_LOW_PRIORITY: + sys_priority = THREAD_PRIORITY_LOWEST; + break; + } + + /* Change priority */ + if (SetThreadPriority (GetCurrentThread (), sys_priority)) + return 0; + else + return -1; +} + +/* Return the current thread's priority. */ +int +__gthread_objc_thread_get_priority (void) +{ + int sys_priority; + + sys_priority = GetThreadPriority (GetCurrentThread ()); + + switch (sys_priority) + { + case THREAD_PRIORITY_HIGHEST: + case THREAD_PRIORITY_TIME_CRITICAL: + case THREAD_PRIORITY_ABOVE_NORMAL: + case THREAD_PRIORITY_NORMAL: + return OBJC_THREAD_INTERACTIVE_PRIORITY; + + default: + case THREAD_PRIORITY_BELOW_NORMAL: + return OBJC_THREAD_BACKGROUND_PRIORITY; + + case THREAD_PRIORITY_IDLE: + case THREAD_PRIORITY_LOWEST: + return OBJC_THREAD_LOW_PRIORITY; + } + + /* Couldn't get priority. */ + return -1; +} + +/* Yield our process time to another thread. */ +void +__gthread_objc_thread_yield (void) +{ + Sleep (0); +} + +/* Terminate the current thread. */ +int +__gthread_objc_thread_exit (void) +{ + /* exit the thread */ + ExitThread (__objc_thread_exit_status); + + /* Failed if we reached here */ + return -1; +} + +/* Returns an integer value which uniquely describes a thread. */ +objc_thread_t +__gthread_objc_thread_id (void) +{ + return (objc_thread_t) (INT_PTR) GetCurrentThreadId (); +} + +/* Sets the thread's local storage pointer. */ +int +__gthread_objc_thread_set_data (void *value) +{ + if (TlsSetValue (__gthread_objc_data_tls, value)) + return 0; + else + return -1; +} + +/* Returns the thread's local storage pointer. */ +void * +__gthread_objc_thread_get_data (void) +{ + DWORD lasterror; + void *ptr; + + lasterror = GetLastError (); + + ptr = TlsGetValue (__gthread_objc_data_tls); /* Return thread data. */ + + SetLastError (lasterror); + + return ptr; +} + +/* Backend mutex functions */ + +/* Allocate a mutex. */ +int +__gthread_objc_mutex_allocate (objc_mutex_t mutex) +{ + if ((mutex->backend = (void *) CreateMutex (NULL, 0, NULL)) == NULL) + return -1; + else + return 0; +} + +/* Deallocate a mutex. */ +int +__gthread_objc_mutex_deallocate (objc_mutex_t mutex) +{ + CloseHandle ((HANDLE) (mutex->backend)); + return 0; +} + +/* Grab a lock on a mutex. */ +int +__gthread_objc_mutex_lock (objc_mutex_t mutex) +{ + int status; + + status = WaitForSingleObject ((HANDLE) (mutex->backend), INFINITE); + if (status != WAIT_OBJECT_0 && status != WAIT_ABANDONED) + return -1; + else + return 0; +} + +/* Try to grab a lock on a mutex. */ +int +__gthread_objc_mutex_trylock (objc_mutex_t mutex) +{ + int status; + + status = WaitForSingleObject ((HANDLE) (mutex->backend), 0); + if (status != WAIT_OBJECT_0 && status != WAIT_ABANDONED) + return -1; + else + return 0; +} + +/* Unlock the mutex */ +int +__gthread_objc_mutex_unlock (objc_mutex_t mutex) +{ + if (ReleaseMutex ((HANDLE) (mutex->backend)) == 0) + return -1; + else + return 0; +} + +/* Backend condition mutex functions */ + +/* Allocate a condition. */ +int +__gthread_objc_condition_allocate (objc_condition_t __UNUSED_PARAM(condition)) +{ + /* Unimplemented. */ + return -1; +} + +/* Deallocate a condition. */ +int +__gthread_objc_condition_deallocate (objc_condition_t __UNUSED_PARAM(condition)) +{ + /* Unimplemented. */ + return -1; +} + +/* Wait on the condition */ +int +__gthread_objc_condition_wait (objc_condition_t __UNUSED_PARAM(condition), + objc_mutex_t __UNUSED_PARAM(mutex)) +{ + /* Unimplemented. */ + return -1; +} + +/* Wake up all threads waiting on this condition. */ +int +__gthread_objc_condition_broadcast (objc_condition_t __UNUSED_PARAM(condition)) +{ + /* Unimplemented. */ + return -1; +} + +/* Wake up one thread waiting on this condition. */ +int +__gthread_objc_condition_signal (objc_condition_t __UNUSED_PARAM(condition)) +{ + /* Unimplemented. */ + return -1; +} + +#else /* _LIBOBJC */ + +#ifdef __cplusplus +extern "C" { +#endif + +typedef unsigned long __gthread_key_t; + +typedef struct { + int done; + long started; +} __gthread_once_t; + +typedef struct { + long counter; + void *sema; +} __gthread_mutex_t; + +typedef struct { + long counter; + long depth; + unsigned long owner; + void *sema; +} __gthread_recursive_mutex_t; + +#define __GTHREAD_ONCE_INIT {0, -1} +#define __GTHREAD_MUTEX_INIT_FUNCTION __gthread_mutex_init_function +#define __GTHREAD_MUTEX_INIT_DEFAULT {-1, 0} +#define __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION \ + __gthread_recursive_mutex_init_function +#define __GTHREAD_RECURSIVE_MUTEX_INIT_DEFAULT {-1, 0, 0, 0} + +#if defined (_WIN32) && !defined(__CYGWIN__) +#define MINGW32_SUPPORTS_MT_EH 1 +/* Mingw runtime >= v0.3 provides a magic variable that is set to nonzero + if -mthreads option was specified, or 0 otherwise. This is to get around + the lack of weak symbols in PE-COFF. */ +extern int _CRT_MT; +extern int __mingwthr_key_dtor (unsigned long, void (*) (void *)); +#endif /* _WIN32 && !__CYGWIN__ */ + +/* The Windows95 kernel does not export InterlockedCompareExchange. + This provides a substitute. When building apps that reference + gthread_mutex_try_lock, the __GTHREAD_I486_INLINE_LOCK_PRIMITIVES + macro must be defined if Windows95 is a target. Currently + gthread_mutex_try_lock is not referenced by libgcc or libstdc++. */ +#ifdef __GTHREAD_I486_INLINE_LOCK_PRIMITIVES +static inline long +__gthr_i486_lock_cmp_xchg(long *__dest, long __xchg, long __comperand) +{ + long result; + __asm__ __volatile__ ("\n\ + lock\n\ + cmpxchg{l} {%4, %1|%1, %4}\n" + : "=a" (result), "=m" (*__dest) + : "0" (__comperand), "m" (*__dest), "r" (__xchg) + : "cc"); + return result; +} +#define __GTHR_W32_InterlockedCompareExchange __gthr_i486_lock_cmp_xchg +#else /* __GTHREAD_I486_INLINE_LOCK_PRIMITIVES */ +#define __GTHR_W32_InterlockedCompareExchange InterlockedCompareExchange +#endif /* __GTHREAD_I486_INLINE_LOCK_PRIMITIVES */ + +static inline int +__gthread_active_p (void) +{ +#ifdef MINGW32_SUPPORTS_MT_EH + return _CRT_MT; +#else + return 1; +#endif +} + +#if __GTHREAD_HIDE_WIN32API + +/* The implementations are in config/i386/gthr-win32.c in libgcc.a. + Only stubs are exposed to avoid polluting the C++ namespace with + windows api definitions. */ + +extern int __gthr_win32_once (__gthread_once_t *, void (*) (void)); +extern int __gthr_win32_key_create (__gthread_key_t *, void (*) (void*)); +extern int __gthr_win32_key_delete (__gthread_key_t); +extern void * __gthr_win32_getspecific (__gthread_key_t); +extern int __gthr_win32_setspecific (__gthread_key_t, const void *); +extern void __gthr_win32_mutex_init_function (__gthread_mutex_t *); +extern int __gthr_win32_mutex_lock (__gthread_mutex_t *); +extern int __gthr_win32_mutex_trylock (__gthread_mutex_t *); +extern int __gthr_win32_mutex_unlock (__gthread_mutex_t *); +extern void + __gthr_win32_recursive_mutex_init_function (__gthread_recursive_mutex_t *); +extern int __gthr_win32_recursive_mutex_lock (__gthread_recursive_mutex_t *); +extern int + __gthr_win32_recursive_mutex_trylock (__gthread_recursive_mutex_t *); +extern int __gthr_win32_recursive_mutex_unlock (__gthread_recursive_mutex_t *); +extern void __gthr_win32_mutex_destroy (__gthread_mutex_t *); +extern int + __gthr_win32_recursive_mutex_destroy (__gthread_recursive_mutex_t *); + +static inline int +__gthread_once (__gthread_once_t *__once, void (*__func) (void)) +{ + if (__gthread_active_p ()) + return __gthr_win32_once (__once, __func); + else + return -1; +} + +static inline int +__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *)) +{ + return __gthr_win32_key_create (__key, __dtor); +} + +static inline int +__gthread_key_delete (__gthread_key_t __key) +{ + return __gthr_win32_key_delete (__key); +} + +static inline void * +__gthread_getspecific (__gthread_key_t __key) +{ + return __gthr_win32_getspecific (__key); +} + +static inline int +__gthread_setspecific (__gthread_key_t __key, const void *__ptr) +{ + return __gthr_win32_setspecific (__key, __ptr); +} + +static inline void +__gthread_mutex_init_function (__gthread_mutex_t *__mutex) +{ + __gthr_win32_mutex_init_function (__mutex); +} + +static inline void +__gthread_mutex_destroy (__gthread_mutex_t *__mutex) +{ + __gthr_win32_mutex_destroy (__mutex); +} + +static inline int +__gthread_mutex_lock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthr_win32_mutex_lock (__mutex); + else + return 0; +} + +static inline int +__gthread_mutex_trylock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthr_win32_mutex_trylock (__mutex); + else + return 0; +} + +static inline int +__gthread_mutex_unlock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthr_win32_mutex_unlock (__mutex); + else + return 0; +} + +static inline void +__gthread_recursive_mutex_init_function (__gthread_recursive_mutex_t *__mutex) +{ + __gthr_win32_recursive_mutex_init_function (__mutex); +} + +static inline int +__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthr_win32_recursive_mutex_lock (__mutex); + else + return 0; +} + +static inline int +__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthr_win32_recursive_mutex_trylock (__mutex); + else + return 0; +} + +static inline int +__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthr_win32_recursive_mutex_unlock (__mutex); + else + return 0; +} + +static inline int +__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex) +{ + return __gthr_win32_recursive_mutex_destroy (__mutex); +} + +#else /* ! __GTHREAD_HIDE_WIN32API */ + +#include +#include + +static inline int +__gthread_once (__gthread_once_t *__once, void (*__func) (void)) +{ + if (! __gthread_active_p ()) + return -1; + else if (__once == NULL || __func == NULL) + return EINVAL; + + if (! __once->done) + { + if (InterlockedIncrement (&(__once->started)) == 0) + { + (*__func) (); + __once->done = TRUE; + } + else + { + /* Another thread is currently executing the code, so wait for it + to finish; yield the CPU in the meantime. If performance + does become an issue, the solution is to use an Event that + we wait on here (and set above), but that implies a place to + create the event before this routine is called. */ + while (! __once->done) + Sleep (0); + } + } + + return 0; +} + +/* Windows32 thread local keys don't support destructors; this leads to + leaks, especially in threaded applications making extensive use of + C++ EH. Mingw uses a thread-support DLL to work-around this problem. */ +static inline int +__gthread_key_create (__gthread_key_t *__key, + void (*__dtor) (void *) __attribute__((__unused__))) +{ + int __status = 0; + DWORD __tls_index = TlsAlloc (); + if (__tls_index != 0xFFFFFFFF) + { + *__key = __tls_index; +#ifdef MINGW32_SUPPORTS_MT_EH + /* Mingw runtime will run the dtors in reverse order for each thread + when the thread exits. */ + __status = __mingwthr_key_dtor (*__key, __dtor); +#endif + } + else + __status = (int) GetLastError (); + return __status; +} + +static inline int +__gthread_key_delete (__gthread_key_t __key) +{ + return (TlsFree (__key) != 0) ? 0 : (int) GetLastError (); +} + +static inline void * +__gthread_getspecific (__gthread_key_t __key) +{ + DWORD __lasterror; + void *__ptr; + + __lasterror = GetLastError (); + + __ptr = TlsGetValue (__key); + + SetLastError (__lasterror); + + return __ptr; +} + +static inline int +__gthread_setspecific (__gthread_key_t __key, const void *__ptr) +{ + if (TlsSetValue (__key, CONST_CAST2(void *, const void *, __ptr)) != 0) + return 0; + else + return GetLastError (); +} + +static inline void +__gthread_mutex_init_function (__gthread_mutex_t *__mutex) +{ + __mutex->counter = -1; + __mutex->sema = CreateSemaphoreW (NULL, 0, 65535, NULL); +} + +static inline void +__gthread_mutex_destroy (__gthread_mutex_t *__mutex) +{ + CloseHandle ((HANDLE) __mutex->sema); +} + +static inline int +__gthread_mutex_lock (__gthread_mutex_t *__mutex) +{ + int __status = 0; + + if (__gthread_active_p ()) + { + if (InterlockedIncrement (&__mutex->counter) == 0 || + WaitForSingleObject (__mutex->sema, INFINITE) == WAIT_OBJECT_0) + __status = 0; + else + { + /* WaitForSingleObject returns WAIT_FAILED, and we can only do + some best-effort cleanup here. */ + InterlockedDecrement (&__mutex->counter); + __status = 1; + } + } + return __status; +} + +static inline int +__gthread_mutex_trylock (__gthread_mutex_t *__mutex) +{ + int __status = 0; + + if (__gthread_active_p ()) + { + if (__GTHR_W32_InterlockedCompareExchange (&__mutex->counter, 0, -1) < 0) + __status = 0; + else + __status = 1; + } + return __status; +} + +static inline int +__gthread_mutex_unlock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + { + if (InterlockedDecrement (&__mutex->counter) >= 0) + return ReleaseSemaphore (__mutex->sema, 1, NULL) ? 0 : 1; + } + return 0; +} + +static inline void +__gthread_recursive_mutex_init_function (__gthread_recursive_mutex_t *__mutex) +{ + __mutex->counter = -1; + __mutex->depth = 0; + __mutex->owner = 0; + __mutex->sema = CreateSemaphoreW (NULL, 0, 65535, NULL); +} + +static inline int +__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + { + DWORD __me = GetCurrentThreadId(); + if (InterlockedIncrement (&__mutex->counter) == 0) + { + __mutex->depth = 1; + __mutex->owner = __me; + } + else if (__mutex->owner == __me) + { + InterlockedDecrement (&__mutex->counter); + ++(__mutex->depth); + } + else if (WaitForSingleObject (__mutex->sema, INFINITE) == WAIT_OBJECT_0) + { + __mutex->depth = 1; + __mutex->owner = __me; + } + else + { + /* WaitForSingleObject returns WAIT_FAILED, and we can only do + some best-effort cleanup here. */ + InterlockedDecrement (&__mutex->counter); + return 1; + } + } + return 0; +} + +static inline int +__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + { + DWORD __me = GetCurrentThreadId(); + if (__GTHR_W32_InterlockedCompareExchange (&__mutex->counter, 0, -1) < 0) + { + __mutex->depth = 1; + __mutex->owner = __me; + } + else if (__mutex->owner == __me) + ++(__mutex->depth); + else + return 1; + } + return 0; +} + +static inline int +__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + { + --(__mutex->depth); + if (__mutex->depth == 0) + { + __mutex->owner = 0; + + if (InterlockedDecrement (&__mutex->counter) >= 0) + return ReleaseSemaphore (__mutex->sema, 1, NULL) ? 0 : 1; + } + } + return 0; +} + +static inline int +__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex) +{ + CloseHandle ((HANDLE) __mutex->sema); + return 0; +} + +#endif /* __GTHREAD_HIDE_WIN32API */ + +#ifdef __cplusplus +} +#endif + +#endif /* _LIBOBJC */ + +#endif /* ! GCC_GTHR_WIN32_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/linux-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/linux-unwind.h new file mode 100644 index 0000000000..e54bf73b1f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/linux-unwind.h @@ -0,0 +1,198 @@ +/* DWARF2 EH unwinding support for AMD x86-64 and x86. + Copyright (C) 2004-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Do code reading to identify a signal frame, and set the frame + state data appropriately. See unwind-dw2.c for the structs. + Don't use this at all if inhibit_libc is used. */ + +#ifndef inhibit_libc + +/* There's no sys/ucontext.h for glibc 2.0, so no + signal-turned-exceptions for them. There's also no configure-run for + the target, so we can't check on (e.g.) HAVE_SYS_UCONTEXT_H. Using the + target libc version macro should be enough. */ +#if defined __GLIBC__ && !(__GLIBC__ == 2 && __GLIBC_MINOR__ == 0) + +#include +#include + +#ifdef __x86_64__ + +#define MD_FALLBACK_FRAME_STATE_FOR x86_64_fallback_frame_state + +static _Unwind_Reason_Code +x86_64_fallback_frame_state (struct _Unwind_Context *context, + _Unwind_FrameState *fs) +{ + unsigned char *pc = context->ra; + struct sigcontext *sc; + long new_cfa; + + /* movq $__NR_rt_sigreturn, %rax ; syscall. */ +#ifdef __LP64__ +#define RT_SIGRETURN_SYSCALL 0x050f0000000fc0c7ULL +#else +#define RT_SIGRETURN_SYSCALL 0x050f40000201c0c7ULL +#endif + if (*(unsigned char *)(pc+0) == 0x48 + && *(unsigned long long *)(pc+1) == RT_SIGRETURN_SYSCALL) + { + struct ucontext *uc_ = context->cfa; + /* The void * cast is necessary to avoid an aliasing warning. + The aliasing warning is correct, but should not be a problem + because it does not alias anything. */ + sc = (struct sigcontext *) (void *) &uc_->uc_mcontext; + } + else + return _URC_END_OF_STACK; + + new_cfa = sc->rsp; + fs->regs.cfa_how = CFA_REG_OFFSET; + /* Register 7 is rsp */ + fs->regs.cfa_reg = 7; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&sc->rax - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&sc->rdx - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&sc->rcx - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&sc->rbx - new_cfa; + fs->regs.reg[4].how = REG_SAVED_OFFSET; + fs->regs.reg[4].loc.offset = (long)&sc->rsi - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&sc->rdi - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&sc->rbp - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&sc->r8 - new_cfa; + fs->regs.reg[9].how = REG_SAVED_OFFSET; + fs->regs.reg[9].loc.offset = (long)&sc->r9 - new_cfa; + fs->regs.reg[10].how = REG_SAVED_OFFSET; + fs->regs.reg[10].loc.offset = (long)&sc->r10 - new_cfa; + fs->regs.reg[11].how = REG_SAVED_OFFSET; + fs->regs.reg[11].loc.offset = (long)&sc->r11 - new_cfa; + fs->regs.reg[12].how = REG_SAVED_OFFSET; + fs->regs.reg[12].loc.offset = (long)&sc->r12 - new_cfa; + fs->regs.reg[13].how = REG_SAVED_OFFSET; + fs->regs.reg[13].loc.offset = (long)&sc->r13 - new_cfa; + fs->regs.reg[14].how = REG_SAVED_OFFSET; + fs->regs.reg[14].loc.offset = (long)&sc->r14 - new_cfa; + fs->regs.reg[15].how = REG_SAVED_OFFSET; + fs->regs.reg[15].loc.offset = (long)&sc->r15 - new_cfa; + fs->regs.reg[16].how = REG_SAVED_OFFSET; + fs->regs.reg[16].loc.offset = (long)&sc->rip - new_cfa; + fs->retaddr_column = 16; + fs->signal_frame = 1; + return _URC_NO_REASON; +} + +#else /* ifdef __x86_64__ */ + +#define MD_FALLBACK_FRAME_STATE_FOR x86_fallback_frame_state + +static _Unwind_Reason_Code +x86_fallback_frame_state (struct _Unwind_Context *context, + _Unwind_FrameState *fs) +{ + unsigned char *pc = context->ra; + struct sigcontext *sc; + long new_cfa; + + /* popl %eax ; movl $__NR_sigreturn,%eax ; int $0x80 */ + if (*(unsigned short *)(pc+0) == 0xb858 + && *(unsigned int *)(pc+2) == 119 + && *(unsigned short *)(pc+6) == 0x80cd) + sc = context->cfa + 4; + /* movl $__NR_rt_sigreturn,%eax ; int $0x80 */ + else if (*(unsigned char *)(pc+0) == 0xb8 + && *(unsigned int *)(pc+1) == 173 + && *(unsigned short *)(pc+5) == 0x80cd) + { + struct rt_sigframe { + int sig; + siginfo_t *pinfo; + void *puc; + siginfo_t info; + struct ucontext uc; + } *rt_ = context->cfa; + /* The void * cast is necessary to avoid an aliasing warning. + The aliasing warning is correct, but should not be a problem + because it does not alias anything. */ + sc = (struct sigcontext *) (void *) &rt_->uc.uc_mcontext; + } + else + return _URC_END_OF_STACK; + + new_cfa = sc->esp; + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = 4; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&sc->eax - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&sc->ebx - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&sc->ecx - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&sc->edx - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&sc->esi - new_cfa; + fs->regs.reg[7].how = REG_SAVED_OFFSET; + fs->regs.reg[7].loc.offset = (long)&sc->edi - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&sc->ebp - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&sc->eip - new_cfa; + fs->retaddr_column = 8; + fs->signal_frame = 1; + return _URC_NO_REASON; +} + +#define MD_FROB_UPDATE_CONTEXT x86_frob_update_context + +/* Fix up for kernels that have vDSO, but don't have S flag in it. */ + +static void +x86_frob_update_context (struct _Unwind_Context *context, + _Unwind_FrameState *fs ATTRIBUTE_UNUSED) +{ + unsigned char *pc = context->ra; + + /* movl $__NR_rt_sigreturn,%eax ; {int $0x80 | syscall} */ + if (*(unsigned char *)(pc+0) == 0xb8 + && *(unsigned int *)(pc+1) == 173 + && (*(unsigned short *)(pc+5) == 0x80cd + || *(unsigned short *)(pc+5) == 0x050f)) + _Unwind_SetSignalFrame (context, 1); +} + +#endif /* ifdef __x86_64__ */ +#endif /* not glibc 2.0 */ +#endif /* ifdef inhibit_libc */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/morestack.S b/contrib/toolchain/gcc/5x/libgcc/config/i386/morestack.S new file mode 100644 index 0000000000..1f607e0112 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/morestack.S @@ -0,0 +1,863 @@ +# x86/x86_64 support for -fsplit-stack. +# Copyright (C) 2009-2015 Free Software Foundation, Inc. +# Contributed by Ian Lance Taylor . + +# This file is part of GCC. + +# GCC is free software; you can redistribute it and/or modify it under +# the terms of the GNU General Public License as published by the Free +# Software Foundation; either version 3, or (at your option) any later +# version. + +# GCC is distributed in the hope that it will be useful, but WITHOUT ANY +# WARRANTY; without even the implied warranty of MERCHANTABILITY or +# FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +# for more details. + +# Under Section 7 of GPL version 3, you are granted additional +# permissions described in the GCC Runtime Library Exception, version +# 3.1, as published by the Free Software Foundation. + +# You should have received a copy of the GNU General Public License and +# a copy of the GCC Runtime Library Exception along with this program; +# see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +# . + + +# Support for allocating more stack space when using -fsplit-stack. +# When a function discovers that it needs more stack space, it will +# call __morestack with the size of the stack frame and the size of +# the parameters to copy from the old stack frame to the new one. +# The __morestack function preserves the parameter registers and +# calls __generic_morestack to actually allocate the stack space. + +# When this is called stack space is very low, but we ensure that +# there is enough space to push the parameter registers and to call +# __generic_morestack. + +# When calling __generic_morestack, FRAME_SIZE points to the size of +# the desired frame when the function is called, and the function +# sets it to the size of the allocated stack. OLD_STACK points to +# the parameters on the old stack and PARAM_SIZE is the number of +# bytes of parameters to copy to the new stack. These are the +# parameters of the function that called __morestack. The +# __generic_morestack function returns the new stack pointer, +# pointing to the address of the first copied parameter. The return +# value minus the returned *FRAME_SIZE will be the first address on +# the stack which we should not use. + +# void *__generic_morestack (size_t *frame_size, void *old_stack, +# size_t param_size); + +# The __morestack routine has to arrange for the caller to return to a +# stub on the new stack. The stub is responsible for restoring the +# old stack pointer and returning to the caller's caller. This calls +# __generic_releasestack to retrieve the old stack pointer and release +# the newly allocated stack. + +# void *__generic_releasestack (size_t *available); + +# We do a little dance so that the processor's call/return return +# address prediction works out. The compiler arranges for the caller +# to look like this: +# call __generic_morestack +# ret +# L: +# // carry on with function +# After we allocate more stack, we call L, which is in our caller. +# When that returns (to the predicted instruction), we release the +# stack segment and reset the stack pointer. We then return to the +# predicted instruction, namely the ret instruction immediately after +# the call to __generic_morestack. That then returns to the caller of +# the original caller. + + +# The amount of extra space we ask for. In general this has to be +# enough for the dynamic loader to find a symbol and for a signal +# handler to run. + +#ifndef __x86_64__ +#define BACKOFF (1024) +#else +#define BACKOFF (1536) +#endif + + +# The amount of space we ask for when calling non-split-stack code. +#define NON_SPLIT_STACK 0x100000 + +# This entry point is for split-stack code which calls non-split-stack +# code. When the linker sees this case, it converts the call to +# __morestack to call __morestack_non_split instead. We just bump the +# requested stack space by 16K. + + .global __morestack_non_split + .hidden __morestack_non_split + +#ifdef __ELF__ + .type __morestack_non_split,@function +#endif + +__morestack_non_split: + .cfi_startproc + +#ifndef __x86_64__ + + # See below for an extended explanation of this. + .cfi_def_cfa %esp,16 + + pushl %eax # Save %eax in case it is a parameter. + + .cfi_adjust_cfa_offset 4 # Account for pushed register. + + movl %esp,%eax # Current stack, + subl 8(%esp),%eax # less required stack frame size, + subl $NON_SPLIT_STACK,%eax # less space for non-split code. + cmpl %gs:0x30,%eax # See if we have enough space. + jb 2f # Get more space if we need it. + + # Here the stack is + # %esp + 20: stack pointer after two returns + # %esp + 16: return address of morestack caller's caller + # %esp + 12: size of parameters + # %esp + 8: new stack frame size + # %esp + 4: return address of this function + # %esp: saved %eax + # + # Since we aren't doing a full split stack, we don't need to + # do anything when our caller returns. So we return to our + # caller rather than calling it, and let it return as usual. + # To make that work we adjust the return address. + + # This breaks call/return address prediction for the call to + # this function. I can't figure out a way to make it work + # short of copying the parameters down the stack, which will + # probably take more clock cycles than we will lose breaking + # call/return address prediction. We will only break + # prediction for this call, not for our caller. + + movl 4(%esp),%eax # Increment the return address + cmpb $0xc3,(%eax) # to skip the ret instruction; + je 1f # see above. + addl $2,%eax +1: inc %eax + + # If the instruction that we return to is + # leal 20(%ebp),{%eax,%ecx,%edx} + # then we have been called by a varargs function that expects + # %ebp to hold a real value. That can only work if we do the + # full stack split routine. FIXME: This is fragile. + cmpb $0x8d,(%eax) + jne 3f + cmpb $0x14,2(%eax) + jne 3f + cmpb $0x45,1(%eax) + je 2f + cmpb $0x4d,1(%eax) + je 2f + cmpb $0x55,1(%eax) + je 2f + +3: + movl %eax,4(%esp) # Update return address. + + popl %eax # Restore %eax and stack. + + .cfi_adjust_cfa_offset -4 # Account for popped register. + + ret $8 # Return to caller, popping args. + +2: + .cfi_adjust_cfa_offset 4 # Back to where we were. + + popl %eax # Restore %eax and stack. + + .cfi_adjust_cfa_offset -4 # Account for popped register. + + # Increment space we request. + addl $NON_SPLIT_STACK+0x1000+BACKOFF,4(%esp) + + # Fall through into morestack. + +#else + + # See below for an extended explanation of this. + .cfi_def_cfa %rsp,16 + + pushq %rax # Save %rax in case caller is using + # it to preserve original %r10. + .cfi_adjust_cfa_offset 8 # Adjust for pushed register. + + movq %rsp,%rax # Current stack, + subq %r10,%rax # less required stack frame size, + subq $NON_SPLIT_STACK,%rax # less space for non-split code. + +#ifdef __LP64__ + cmpq %fs:0x70,%rax # See if we have enough space. +#else + cmpl %fs:0x40,%eax +#endif + + jb 2f # Get more space if we need it. + + # If the instruction that we return to is + # leaq 24(%rbp), %r11n + # then we have been called by a varargs function that expects + # %ebp to hold a real value. That can only work if we do the + # full stack split routine. FIXME: This is fragile. + movq 8(%rsp),%rax + incq %rax # Skip ret instruction in caller. + cmpl $0x185d8d4c,(%rax) + je 2f + + # This breaks call/return prediction, as described above. + incq 8(%rsp) # Increment the return address. + + popq %rax # Restore register. + + .cfi_adjust_cfa_offset -8 # Adjust for popped register. + + ret # Return to caller. + +2: + popq %rax # Restore register. + + .cfi_adjust_cfa_offset -8 # Adjust for popped register. + + # Increment space we request. + addq $NON_SPLIT_STACK+0x1000+BACKOFF,%r10 + + # Fall through into morestack. + +#endif + + .cfi_endproc +#ifdef __ELF__ + .size __morestack_non_split, . - __morestack_non_split +#endif + +# __morestack_non_split falls through into __morestack. + + +# The __morestack function. + + .global __morestack + .hidden __morestack + +#ifdef __ELF__ + .type __morestack,@function +#endif + +__morestack: +.LFB1: + .cfi_startproc + + +#ifndef __x86_64__ + + +# The 32-bit __morestack function. + + # We use a cleanup to restore the stack guard if an exception + # is thrown through this code. +#ifndef __PIC__ + .cfi_personality 0,__gcc_personality_v0 + .cfi_lsda 0,.LLSDA1 +#else + .cfi_personality 0x9b,DW.ref.__gcc_personality_v0 + .cfi_lsda 0x1b,.LLSDA1 +#endif + + # We return below with a ret $8. We will return to a single + # return instruction, which will return to the caller of our + # caller. We let the unwinder skip that single return + # instruction, and just return to the real caller. + + # Here CFA points just past the return address on the stack, + # e.g., on function entry it is %esp + 4. The stack looks + # like this: + # CFA + 12: stack pointer after two returns + # CFA + 8: return address of morestack caller's caller + # CFA + 4: size of parameters + # CFA: new stack frame size + # CFA - 4: return address of this function + # CFA - 8: previous value of %ebp; %ebp points here + # Setting the new CFA to be the current CFA + 12 (i.e., %esp + + # 16) will make the unwinder pick up the right return address. + + .cfi_def_cfa %esp,16 + + pushl %ebp + .cfi_adjust_cfa_offset 4 + .cfi_offset %ebp, -20 + movl %esp,%ebp + .cfi_def_cfa_register %ebp + + # In 32-bit mode the parameters are pushed on the stack. The + # argument size is pushed then the new stack frame size is + # pushed. + + # In the body of a non-leaf function, the stack pointer will + # be aligned to a 16-byte boundary. That is CFA + 12 in the + # stack picture above: (CFA + 12) % 16 == 0. At this point we + # have %esp == CFA - 8, so %esp % 16 == 12. We need some + # space for saving registers and passing parameters, and we + # need to wind up with %esp % 16 == 0. + subl $44,%esp + + # Because our cleanup code may need to clobber %ebx, we need + # to save it here so the unwinder can restore the value used + # by the caller. Note that we don't have to restore the + # register, since we don't change it, we just have to save it + # for the unwinder. + movl %ebx,-4(%ebp) + .cfi_offset %ebx, -24 + + # In 32-bit mode the registers %eax, %edx, and %ecx may be + # used for parameters, depending on the regparm and fastcall + # attributes. + + movl %eax,-8(%ebp) + movl %edx,-12(%ebp) + movl %ecx,-16(%ebp) + + call __morestack_block_signals + + movl 12(%ebp),%eax # The size of the parameters. + movl %eax,8(%esp) + leal 20(%ebp),%eax # Address of caller's parameters. + movl %eax,4(%esp) + addl $BACKOFF,8(%ebp) # Ask for backoff bytes. + leal 8(%ebp),%eax # The address of the new frame size. + movl %eax,(%esp) + + call __generic_morestack + + movl %eax,%esp # Switch to the new stack. + subl 8(%ebp),%eax # The end of the stack space. + addl $BACKOFF,%eax # Back off 512 bytes. + +.LEHB0: + # FIXME: The offset must match + # TARGET_THREAD_SPLIT_STACK_OFFSET in + # gcc/config/i386/linux.h. + movl %eax,%gs:0x30 # Save the new stack boundary. + + call __morestack_unblock_signals + + movl -12(%ebp),%edx # Restore registers. + movl -16(%ebp),%ecx + + movl 4(%ebp),%eax # Increment the return address + cmpb $0xc3,(%eax) # to skip the ret instruction; + je 1f # see above. + addl $2,%eax +1: inc %eax + + movl %eax,-12(%ebp) # Store return address in an + # unused slot. + + movl -8(%ebp),%eax # Restore the last register. + + call *-12(%ebp) # Call our caller! + + # The caller will return here, as predicted. + + # Save the registers which may hold a return value. We + # assume that __generic_releasestack does not touch any + # floating point or vector registers. + pushl %eax + pushl %edx + + # Push the arguments to __generic_releasestack now so that the + # stack is at a 16-byte boundary for + # __morestack_block_signals. + pushl $0 # Where the available space is returned. + leal 0(%esp),%eax # Push its address. + push %eax + + call __morestack_block_signals + + call __generic_releasestack + + subl 4(%esp),%eax # Subtract available space. + addl $BACKOFF,%eax # Back off 512 bytes. +.LEHE0: + movl %eax,%gs:0x30 # Save the new stack boundary. + + addl $8,%esp # Remove values from stack. + + # We need to restore the old stack pointer, which is in %rbp, + # before we unblock signals. We also need to restore %eax and + # %edx after we unblock signals but before we return. Do this + # by moving %eax and %edx from the current stack to the old + # stack. + + popl %edx # Pop return value from current stack. + popl %eax + + movl %ebp,%esp # Restore stack pointer. + + # As before, we now have %esp % 16 == 12. + + pushl %eax # Push return value on old stack. + pushl %edx + subl $4,%esp # Align stack to 16-byte boundary. + + call __morestack_unblock_signals + + addl $4,%esp + popl %edx # Restore return value. + popl %eax + + .cfi_remember_state + + # We never changed %ebx, so we don't have to actually restore it. + .cfi_restore %ebx + + popl %ebp + .cfi_restore %ebp + .cfi_def_cfa %esp, 16 + ret $8 # Return to caller, which will + # immediately return. Pop + # arguments as we go. + +# This is the cleanup code called by the stack unwinder when unwinding +# through the code between .LEHB0 and .LEHE0 above. + +.L1: + .cfi_restore_state + subl $16,%esp # Maintain 16 byte alignment. + movl %eax,4(%esp) # Save exception header. + movl %ebp,(%esp) # Stack pointer after resume. + call __generic_findstack + movl %ebp,%ecx # Get the stack pointer. + subl %eax,%ecx # Subtract available space. + addl $BACKOFF,%ecx # Back off 512 bytes. + movl %ecx,%gs:0x30 # Save new stack boundary. + movl 4(%esp),%eax # Function argument. + movl %eax,(%esp) +#ifdef __PIC__ + call __x86.get_pc_thunk.bx # %ebx may not be set up for us. + addl $_GLOBAL_OFFSET_TABLE_, %ebx + call _Unwind_Resume@PLT # Resume unwinding. +#else + call _Unwind_Resume +#endif + +#else /* defined(__x86_64__) */ + + +# The 64-bit __morestack function. + + # We use a cleanup to restore the stack guard if an exception + # is thrown through this code. +#ifndef __PIC__ + .cfi_personality 0x3,__gcc_personality_v0 + .cfi_lsda 0x3,.LLSDA1 +#else + .cfi_personality 0x9b,DW.ref.__gcc_personality_v0 + .cfi_lsda 0x1b,.LLSDA1 +#endif + + # We will return a single return instruction, which will + # return to the caller of our caller. Let the unwinder skip + # that single return instruction, and just return to the real + # caller. + .cfi_def_cfa %rsp,16 + + # Set up a normal backtrace. + pushq %rbp + .cfi_adjust_cfa_offset 8 + .cfi_offset %rbp, -24 + movq %rsp, %rbp + .cfi_def_cfa_register %rbp + + # In 64-bit mode the new stack frame size is passed in r10 + # and the argument size is passed in r11. + + addq $BACKOFF,%r10 # Ask for backoff bytes. + pushq %r10 # Save new frame size. + + # In 64-bit mode the registers %rdi, %rsi, %rdx, %rcx, %r8, + # and %r9 may be used for parameters. We also preserve %rax + # which the caller may use to hold %r10. + + pushq %rax + pushq %rdi + pushq %rsi + pushq %rdx + pushq %rcx + pushq %r8 + pushq %r9 + + pushq %r11 + + # We entered morestack with the stack pointer aligned to a + # 16-byte boundary (the call to morestack's caller used 8 + # bytes, and the call to morestack used 8 bytes). We have now + # pushed 10 registers, so we are still aligned to a 16-byte + # boundary. + + call __morestack_block_signals + + leaq -8(%rbp),%rdi # Address of new frame size. + leaq 24(%rbp),%rsi # The caller's parameters. + popq %rdx # The size of the parameters. + + subq $8,%rsp # Align stack. + + call __generic_morestack + + movq -8(%rbp),%r10 # Reload modified frame size + movq %rax,%rsp # Switch to the new stack. + subq %r10,%rax # The end of the stack space. + addq $BACKOFF,%rax # Back off 1024 bytes. + +.LEHB0: + # FIXME: The offset must match + # TARGET_THREAD_SPLIT_STACK_OFFSET in + # gcc/config/i386/linux64.h. + # Macro to save the new stack boundary. +#ifdef __LP64__ +#define X86_64_SAVE_NEW_STACK_BOUNDARY(reg) movq %r##reg,%fs:0x70 +#else +#define X86_64_SAVE_NEW_STACK_BOUNDARY(reg) movl %e##reg,%fs:0x40 +#endif + X86_64_SAVE_NEW_STACK_BOUNDARY (ax) + + call __morestack_unblock_signals + + movq -24(%rbp),%rdi # Restore registers. + movq -32(%rbp),%rsi + movq -40(%rbp),%rdx + movq -48(%rbp),%rcx + movq -56(%rbp),%r8 + movq -64(%rbp),%r9 + + movq 8(%rbp),%r10 # Increment the return address + incq %r10 # to skip the ret instruction; + # see above. + + movq -16(%rbp),%rax # Restore caller's %rax. + + call *%r10 # Call our caller! + + # The caller will return here, as predicted. + + # Save the registers which may hold a return value. We + # assume that __generic_releasestack does not touch any + # floating point or vector registers. + pushq %rax + pushq %rdx + + call __morestack_block_signals + + pushq $0 # For alignment. + pushq $0 # Where the available space is returned. + leaq 0(%rsp),%rdi # Pass its address. + + call __generic_releasestack + + subq 0(%rsp),%rax # Subtract available space. + addq $BACKOFF,%rax # Back off 1024 bytes. +.LEHE0: + X86_64_SAVE_NEW_STACK_BOUNDARY (ax) + + addq $16,%rsp # Remove values from stack. + + # We need to restore the old stack pointer, which is in %rbp, + # before we unblock signals. We also need to restore %rax and + # %rdx after we unblock signals but before we return. Do this + # by moving %rax and %rdx from the current stack to the old + # stack. + + popq %rdx # Pop return value from current stack. + popq %rax + + movq %rbp,%rsp # Restore stack pointer. + + # Now (%rsp & 16) == 8. + + subq $8,%rsp # For alignment. + pushq %rax # Push return value on old stack. + pushq %rdx + + call __morestack_unblock_signals + + popq %rdx # Restore return value. + popq %rax + addq $8,%rsp + + .cfi_remember_state + popq %rbp + .cfi_restore %rbp + .cfi_def_cfa %rsp, 16 + ret # Return to caller, which will + # immediately return. + +# This is the cleanup code called by the stack unwinder when unwinding +# through the code between .LEHB0 and .LEHE0 above. + +.L1: + .cfi_restore_state + subq $16,%rsp # Maintain 16 byte alignment. + movq %rax,(%rsp) # Save exception header. + movq %rbp,%rdi # Stack pointer after resume. + call __generic_findstack + movq %rbp,%rcx # Get the stack pointer. + subq %rax,%rcx # Subtract available space. + addq $BACKOFF,%rcx # Back off 1024 bytes. + X86_64_SAVE_NEW_STACK_BOUNDARY (cx) + movq (%rsp),%rdi # Restore exception data for call. +#ifdef __PIC__ + call _Unwind_Resume@PLT # Resume unwinding. +#else + call _Unwind_Resume # Resume unwinding. +#endif + +#endif /* defined(__x86_64__) */ + + .cfi_endproc +#ifdef __ELF__ + .size __morestack, . - __morestack +#endif + +#if !defined(__x86_64__) && defined(__PIC__) +# Output the thunk to get PC into bx, since we use it above. + .section .text.__x86.get_pc_thunk.bx,"axG",@progbits,__x86.get_pc_thunk.bx,comdat + .globl __x86.get_pc_thunk.bx + .hidden __x86.get_pc_thunk.bx +#ifdef __ELF__ + .type __x86.get_pc_thunk.bx, @function +#endif +__x86.get_pc_thunk.bx: + .cfi_startproc + movl (%esp), %ebx + ret + .cfi_endproc +#ifdef __ELF__ + .size __x86.get_pc_thunk.bx, . - __x86.get_pc_thunk.bx +#endif +#endif + +# The exception table. This tells the personality routine to execute +# the exception handler. + + .section .gcc_except_table,"a",@progbits + .align 4 +.LLSDA1: + .byte 0xff # @LPStart format (omit) + .byte 0xff # @TType format (omit) + .byte 0x1 # call-site format (uleb128) + .uleb128 .LLSDACSE1-.LLSDACSB1 # Call-site table length +.LLSDACSB1: + .uleb128 .LEHB0-.LFB1 # region 0 start + .uleb128 .LEHE0-.LEHB0 # length + .uleb128 .L1-.LFB1 # landing pad + .uleb128 0 # action +.LLSDACSE1: + + + .global __gcc_personality_v0 +#ifdef __PIC__ + # Build a position independent reference to the basic + # personality function. + .hidden DW.ref.__gcc_personality_v0 + .weak DW.ref.__gcc_personality_v0 + .section .data.DW.ref.__gcc_personality_v0,"awG",@progbits,DW.ref.__gcc_personality_v0,comdat + .type DW.ref.__gcc_personality_v0, @object +DW.ref.__gcc_personality_v0: +#ifndef __LP64__ + .align 4 + .size DW.ref.__gcc_personality_v0, 4 + .long __gcc_personality_v0 +#else + .align 8 + .size DW.ref.__gcc_personality_v0, 8 + .quad __gcc_personality_v0 +#endif +#endif + +#if defined __x86_64__ && defined __LP64__ + +# This entry point is used for the large model. With this entry point +# the upper 32 bits of %r10 hold the argument size and the lower 32 +# bits hold the new stack frame size. There doesn't seem to be a way +# to know in the assembler code that we are assembling for the large +# model, and there doesn't seem to be a large model multilib anyhow. +# If one is developed, then the non-PIC code is probably OK since we +# will probably be close to the morestack code, but the PIC code +# almost certainly needs to be changed. FIXME. + + .text + .global __morestack_large_model + .hidden __morestack_large_model + +#ifdef __ELF__ + .type __morestack_large_model,@function +#endif + +__morestack_large_model: + + .cfi_startproc + + movq %r10, %r11 + andl $0xffffffff, %r10d + sarq $32, %r11 + jmp __morestack + + .cfi_endproc +#ifdef __ELF__ + .size __morestack_large_model, . - __morestack_large_model +#endif + +#endif /* __x86_64__ && __LP64__ */ + +# Initialize the stack test value when the program starts or when a +# new thread starts. We don't know how large the main stack is, so we +# guess conservatively. We might be able to use getrlimit here. + + .text + .global __stack_split_initialize + .hidden __stack_split_initialize + +#ifdef __ELF__ + .type __stack_split_initialize, @function +#endif + +__stack_split_initialize: + +#ifndef __x86_64__ + + leal -16000(%esp),%eax # We should have at least 16K. + movl %eax,%gs:0x30 + subl $4,%esp # Align stack. + pushl $16000 + pushl %esp +#ifdef __PIC__ + call __generic_morestack_set_initial_sp@PLT +#else + call __generic_morestack_set_initial_sp +#endif + addl $12,%esp + ret + +#else /* defined(__x86_64__) */ + + leaq -16000(%rsp),%rax # We should have at least 16K. + X86_64_SAVE_NEW_STACK_BOUNDARY (ax) + subq $8,%rsp # Align stack. + movq %rsp,%rdi + movq $16000,%rsi +#ifdef __PIC__ + call __generic_morestack_set_initial_sp@PLT +#else + call __generic_morestack_set_initial_sp +#endif + addq $8,%rsp + ret + +#endif /* defined(__x86_64__) */ + +#ifdef __ELF__ + .size __stack_split_initialize, . - __stack_split_initialize +#endif + +# Routines to get and set the guard, for __splitstack_getcontext, +# __splitstack_setcontext, and __splitstack_makecontext. + +# void *__morestack_get_guard (void) returns the current stack guard. + .text + .global __morestack_get_guard + .hidden __morestack_get_guard + +#ifdef __ELF__ + .type __morestack_get_guard,@function +#endif + +__morestack_get_guard: + +#ifndef __x86_64__ + movl %gs:0x30,%eax +#else +#ifdef __LP64__ + movq %fs:0x70,%rax +#else + movl %fs:0x40,%eax +#endif +#endif + ret + +#ifdef __ELF__ + .size __morestack_get_guard, . - __morestack_get_guard +#endif + +# void __morestack_set_guard (void *) sets the stack guard. + .global __morestack_set_guard + .hidden __morestack_set_guard + +#ifdef __ELF__ + .type __morestack_set_guard,@function +#endif + +__morestack_set_guard: + +#ifndef __x86_64__ + movl 4(%esp),%eax + movl %eax,%gs:0x30 +#else + X86_64_SAVE_NEW_STACK_BOUNDARY (di) +#endif + ret + +#ifdef __ELF__ + .size __morestack_set_guard, . - __morestack_set_guard +#endif + +# void *__morestack_make_guard (void *, size_t) returns the stack +# guard value for a stack. + .global __morestack_make_guard + .hidden __morestack_make_guard + +#ifdef __ELF__ + .type __morestack_make_guard,@function +#endif + +__morestack_make_guard: + +#ifndef __x86_64__ + movl 4(%esp),%eax + subl 8(%esp),%eax + addl $BACKOFF,%eax +#else + subq %rsi,%rdi + addq $BACKOFF,%rdi + movq %rdi,%rax +#endif + ret + +#ifdef __ELF__ + .size __morestack_make_guard, . - __morestack_make_guard +#endif + +# Make __stack_split_initialize a high priority constructor. FIXME: +# This is ELF specific. + + .section .ctors.65535,"aw",@progbits + +#ifndef __LP64__ + .align 4 + .long __stack_split_initialize + .long __morestack_load_mmap +#else + .align 8 + .quad __stack_split_initialize + .quad __morestack_load_mmap +#endif + +#ifdef __ELF__ + .section .note.GNU-stack,"",@progbits + .section .note.GNU-split-stack,"",@progbits + .section .note.GNU-no-split-stack,"",@progbits +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/sfp-exceptions.c b/contrib/toolchain/gcc/5x/libgcc/config/i386/sfp-exceptions.c new file mode 100644 index 0000000000..17041240df --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/sfp-exceptions.c @@ -0,0 +1,108 @@ +/* + * Copyright (C) 2012-2015 Free Software Foundation, Inc. + * + * This file is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License as published by the + * Free Software Foundation; either version 3, or (at your option) any + * later version. + * + * This file is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * Under Section 7 of GPL version 3, you are granted additional + * permissions described in the GCC Runtime Library Exception, version + * 3.1, as published by the Free Software Foundation. + * + * You should have received a copy of the GNU General Public License and + * a copy of the GCC Runtime Library Exception along with this program; + * see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + * . + */ + +#ifndef _SOFT_FLOAT +#include "sfp-machine.h" + +struct fenv +{ + unsigned short int __control_word; + unsigned short int __unused1; + unsigned short int __status_word; + unsigned short int __unused2; + unsigned short int __tags; + unsigned short int __unused3; + unsigned int __eip; + unsigned short int __cs_selector; + unsigned int __opcode:11; + unsigned int __unused4:5; + unsigned int __data_offset; + unsigned short int __data_selector; + unsigned short int __unused5; +}; + +void +__sfp_handle_exceptions (int _fex) +{ + if (_fex & FP_EX_INVALID) + { + float f = 0.0f; +#ifdef __SSE_MATH__ + volatile float r __attribute__ ((unused)); + asm volatile ("%vdivss\t{%0, %d0|%d0, %0}" : "+x" (f)); + r = f; /* Needed to trigger exception. */ +#else + asm volatile ("fdiv\t{%y0, %0|%0, %y0}" : "+t" (f)); + /* No need for fwait, exception is triggered by emitted fstp. */ +#endif + } + if (_fex & FP_EX_DENORM) + { + struct fenv temp; + asm volatile ("fnstenv\t%0" : "=m" (temp)); + temp.__status_word |= FP_EX_DENORM; + asm volatile ("fldenv\t%0" : : "m" (temp)); + asm volatile ("fwait"); + } + if (_fex & FP_EX_DIVZERO) + { + float f = 1.0f, g = 0.0f; +#ifdef __SSE_MATH__ + volatile float r __attribute__ ((unused)); + asm volatile ("%vdivss\t{%1, %d0|%d0, %1}" : "+x" (f) : "xm" (g)); + r = f; /* Needed to trigger exception. */ +#else + asm volatile ("fdivs\t%1" : "+t" (f) : "m" (g)); + /* No need for fwait, exception is triggered by emitted fstp. */ +#endif + } + if (_fex & FP_EX_OVERFLOW) + { + struct fenv temp; + asm volatile ("fnstenv\t%0" : "=m" (temp)); + temp.__status_word |= FP_EX_OVERFLOW; + asm volatile ("fldenv\t%0" : : "m" (temp)); + asm volatile ("fwait"); + } + if (_fex & FP_EX_UNDERFLOW) + { + struct fenv temp; + asm volatile ("fnstenv\t%0" : "=m" (temp)); + temp.__status_word |= FP_EX_UNDERFLOW; + asm volatile ("fldenv\t%0" : : "m" (temp)); + asm volatile ("fwait"); + } + if (_fex & FP_EX_INEXACT) + { + float f = 1.0f, g = 3.0f; +#ifdef __SSE_MATH__ + volatile float r __attribute__ ((unused)); + asm volatile ("%vdivss\t{%1, %d0|%d0, %1}" : "+x" (f) : "xm" (g)); + r = f; /* Needed to trigger exception. */ +#else + asm volatile ("fdivs\t%1" : "+t" (f) : "m" (g)); + /* No need for fwait, exception is triggered by emitted fstp. */ +#endif + } +}; +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/sfp-machine.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/sfp-machine.h new file mode 100644 index 0000000000..8a1923b6c1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/sfp-machine.h @@ -0,0 +1,85 @@ +#ifdef __MINGW32__ + /* Make sure we are using gnu-style bitfield handling. */ +#define _FP_STRUCT_LAYOUT __attribute__ ((gcc_struct)) +#endif + +/* The type of the result of a floating point comparison. This must + match `__libgcc_cmp_return__' in GCC for the target. */ +typedef int __gcc_CMPtype __attribute__ ((mode (__libgcc_cmp_return__))); +#define CMPtype __gcc_CMPtype + +#ifdef __x86_64__ +#include "config/i386/64/sfp-machine.h" +#else +#include "config/i386/32/sfp-machine.h" +#endif + +#define _FP_KEEPNANFRACP 1 +#define _FP_QNANNEGATEDP 0 + +#define _FP_NANSIGN_S 1 +#define _FP_NANSIGN_D 1 +#define _FP_NANSIGN_E 1 +#define _FP_NANSIGN_Q 1 + +/* Here is something Intel misdesigned: the specs don't define + the case where we have two NaNs with same mantissas, but + different sign. Different operations pick up different NaNs. */ +#define _FP_CHOOSENAN(fs, wc, R, X, Y, OP) \ + do { \ + if (_FP_FRAC_GT_##wc(X, Y) \ + || (_FP_FRAC_EQ_##wc(X,Y) && (OP == '+' || OP == '*'))) \ + { \ + R##_s = X##_s; \ + _FP_FRAC_COPY_##wc(R,X); \ + } \ + else \ + { \ + R##_s = Y##_s; \ + _FP_FRAC_COPY_##wc(R,Y); \ + } \ + R##_c = FP_CLS_NAN; \ + } while (0) + +#ifndef _SOFT_FLOAT +#define FP_EX_INVALID 0x01 +#define FP_EX_DENORM 0x02 +#define FP_EX_DIVZERO 0x04 +#define FP_EX_OVERFLOW 0x08 +#define FP_EX_UNDERFLOW 0x10 +#define FP_EX_INEXACT 0x20 +#define FP_EX_ALL \ + (FP_EX_INVALID | FP_EX_DENORM | FP_EX_DIVZERO | FP_EX_OVERFLOW \ + | FP_EX_UNDERFLOW | FP_EX_INEXACT) + +void __sfp_handle_exceptions (int); + +#define FP_HANDLE_EXCEPTIONS \ + do { \ + if (__builtin_expect (_fex, 0)) \ + __sfp_handle_exceptions (_fex); \ + } while (0); + +#define FP_TRAPPING_EXCEPTIONS ((~_fcw >> FP_EX_SHIFT) & FP_EX_ALL) + +#define FP_ROUNDMODE (_fcw & FP_RND_MASK) +#endif + +#define _FP_TININESS_AFTER_ROUNDING 1 + +#define __LITTLE_ENDIAN 1234 +#define __BIG_ENDIAN 4321 + +#define __BYTE_ORDER __LITTLE_ENDIAN + +/* Define ALIASNAME as a strong alias for NAME. */ +#if defined __MACH__ +/* Mach-O doesn't support aliasing. If these functions ever return + anything but CMPtype we need to revisit this... */ +#define strong_alias(name, aliasname) \ + CMPtype aliasname (TFtype a, TFtype b) { return name(a, b); } +#else +# define strong_alias(name, aliasname) _strong_alias(name, aliasname) +# define _strong_alias(name, aliasname) \ + extern __typeof (name) aliasname __attribute__ ((alias (#name))); +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/sol2-c1.S b/contrib/toolchain/gcc/5x/libgcc/config/i386/sol2-c1.S new file mode 100644 index 0000000000..b3a4698123 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/sol2-c1.S @@ -0,0 +1,173 @@ +/* crt1.s for Solaris 2, x86 + + Copyright (C) 1993-2015 Free Software Foundation, Inc. + Written By Fred Fish, Nov 1992 + +This file is free software; you can redistribute it and/or modify it +under the terms of the GNU General Public License as published by the +Free Software Foundation; either version 3, or (at your option) any +later version. + +This file is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + + +/* This file takes control of the process from the kernel, as specified + in section 3 of the System V Application Binary Interface, Intel386 + Processor Supplement. It has been constructed from information obtained + from the ABI, information obtained from single stepping existing + Solaris executables through their startup code with gdb, and from + information obtained by single stepping executables on other i386 SVR4 + implementations. This file is the first thing linked into any + executable. */ + +#ifndef GCRT1 + .ident "GNU C crt1.s" +#define CLEANUP _cleanup +#else +/* This is a modified crt1.s by J.W.Hawtin 15/8/96, + to allow program profiling, by calling monstartup on entry and _mcleanup + on exit. */ + .ident "GNU C gcrt1.s" +#define CLEANUP _mcleanup +#endif + .weak _cleanup + .weak _DYNAMIC + .text + +/* Start creating the initial frame by pushing a NULL value for the return + address of the initial frame, and mark the end of the stack frame chain + (the innermost stack frame) with a NULL value, per page 3-32 of the ABI. + Initialize the first stack frame pointer in %ebp (the contents of which + are unspecified at process initialization). */ + + .globl _start +_start: + pushl $0x0 + pushl $0x0 + movl %esp,%ebp + +/* As specified per page 3-32 of the ABI, %edx contains a function + pointer that should be registered with atexit(), for proper + shared object termination. Just push it onto the stack for now + to preserve it. We want to register _cleanup() first. */ + + pushl %edx + +/* Check to see if there is an _cleanup() function linked in, and if + so, register it with atexit() as the last thing to be run by + atexit(). */ + + movl $CLEANUP,%eax + testl %eax,%eax + je .L1 + pushl $CLEANUP + call atexit + addl $0x4,%esp +.L1: + +/* Now check to see if we have an _DYNAMIC table, and if so then + we need to register the function pointer previously in %edx, but + now conveniently saved on the stack as the argument to pass to + atexit(). */ + + movl $_DYNAMIC,%eax + testl %eax,%eax + je .L2 + call atexit +.L2: + +/* Register _fini() with atexit(). We will take care of calling _init() + directly. */ + + pushl $_fini + call atexit + +#ifdef GCRT1 +/* Start profiling. */ + + pushl %ebp + movl %esp,%ebp + pushl $_etext + pushl $_start + call monstartup + addl $8,%esp + popl %ebp +#endif + +/* Compute the address of the environment vector on the stack and load + it into the global variable _environ. Currently argc is at 8 off + the frame pointer. Fetch the argument count into %eax, scale by the + size of each arg (4 bytes) and compute the address of the environment + vector which is 16 bytes (the two zero words we pushed, plus argc, + plus the null word terminating the arg vector) further up the stack, + off the frame pointer (whew!). */ + + movl 8(%ebp),%eax + leal 16(%ebp,%eax,4),%edx + movl %edx,_environ + +/* Push the environment vector pointer, the argument vector pointer, + and the argument count on to the stack to set up the arguments + for _init(), _fpstart(), and main(). Note that the environment + vector pointer and the arg count were previously loaded into + %edx and %eax respectively. The only new value we need to compute + is the argument vector pointer, which is at a fixed address off + the initial frame pointer. */ + +/* Make sure the stack is properly aligned. */ + andl $0xfffffff0,%esp + subl $4,%esp + + pushl %edx + leal 12(%ebp),%edx + pushl %edx + pushl %eax + +/* Call _init(argc, argv, environ), _fpstart(argc, argv, environ), and + main(argc, argv, environ). */ + + call _init + call __fpstart + call main + +/* Pop the argc, argv, and environ arguments off the stack, push the + value returned from main(), and call exit(). */ + + addl $12,%esp + pushl %eax + call exit + +/* An inline equivalent of _exit, as specified in Figure 3-26 of the ABI. */ + + pushl $0x0 + movl $0x1,%eax + lcall $7,$0 + +/* If all else fails, just try a halt! */ + + hlt + .type _start,@function + .size _start,.-_start + +#ifndef GCRT1 +/* A dummy profiling support routine for non-profiling executables, + in case we link in some objects that have been compiled for profiling. */ + + .weak _mcount +_mcount: + ret + .type _mcount,@function + .size _mcount,.-_mcount +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/sol2-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/sol2-unwind.h new file mode 100644 index 0000000000..fc2fe71e3c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/sol2-unwind.h @@ -0,0 +1,244 @@ +/* DWARF2 EH unwinding support for AMD x86-64 and x86. + Copyright (C) 2009-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3, or (at your option) +any later version. + +GCC is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Do code reading to identify a signal frame, and set the frame + state data appropriately. See unwind-dw2.c for the structs. */ + +#include +#include + +#ifdef __x86_64__ + +#define MD_FALLBACK_FRAME_STATE_FOR x86_64_fallback_frame_state + +static _Unwind_Reason_Code +x86_64_fallback_frame_state (struct _Unwind_Context *context, + _Unwind_FrameState *fs) +{ + unsigned char *pc = context->ra; + mcontext_t *mctx; + long new_cfa; + + if (/* Solaris 10+ + ------------ + <__sighndlr+0>: push %rbp + <__sighndlr+1>: mov %rsp,%rbp + <__sighndlr+4>: callq *%rcx + <__sighndlr+6>: leaveq <--- PC + <__sighndlr+7>: retq */ + *(unsigned long *)(pc - 6) == 0xc3c9d1ffe5894855) + + /* We need to move up three frames: + + <-- context->cfa + __sighndlr + call_user_handler + sigacthandler + + + context->cfa points into the frame after the saved frame pointer and + saved pc (struct frame). + + The ucontext_t structure is in the kernel frame after the signal + number and a siginfo_t *. Since the frame sizes vary even within + Solaris 10 updates, we need to walk the stack to get there. */ + { + struct frame *fp = (struct frame *) context->cfa - 1; + struct handler_args { + int signo; + siginfo_t *sip; + ucontext_t ucontext; + } *handler_args; + ucontext_t *ucp; + + /* Next frame: __sighndlr frame pointer. */ + fp = (struct frame *) fp->fr_savfp; + /* call_user_handler frame pointer. */ + fp = (struct frame *) fp->fr_savfp; + /* sigacthandler frame pointer. */ + fp = (struct frame *) fp->fr_savfp; + + /* The argument area precedes the struct frame. */ + handler_args = (struct handler_args *) (fp + 1); + ucp = &handler_args->ucontext; + mctx = &ucp->uc_mcontext; + } + else + return _URC_END_OF_STACK; + + new_cfa = mctx->gregs[REG_RSP]; + + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = 7; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&mctx->gregs[REG_RAX] - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&mctx->gregs[REG_RDX] - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&mctx->gregs[REG_RCX] - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&mctx->gregs[REG_RBX] - new_cfa; + fs->regs.reg[4].how = REG_SAVED_OFFSET; + fs->regs.reg[4].loc.offset = (long)&mctx->gregs[REG_RSI] - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&mctx->gregs[REG_RDI] - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&mctx->gregs[REG_RBP] - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&mctx->gregs[REG_R8] - new_cfa; + fs->regs.reg[9].how = REG_SAVED_OFFSET; + fs->regs.reg[9].loc.offset = (long)&mctx->gregs[REG_R9] - new_cfa; + fs->regs.reg[10].how = REG_SAVED_OFFSET; + fs->regs.reg[10].loc.offset = (long)&mctx->gregs[REG_R10] - new_cfa; + fs->regs.reg[11].how = REG_SAVED_OFFSET; + fs->regs.reg[11].loc.offset = (long)&mctx->gregs[REG_R11] - new_cfa; + fs->regs.reg[12].how = REG_SAVED_OFFSET; + fs->regs.reg[12].loc.offset = (long)&mctx->gregs[REG_R12] - new_cfa; + fs->regs.reg[13].how = REG_SAVED_OFFSET; + fs->regs.reg[13].loc.offset = (long)&mctx->gregs[REG_R13] - new_cfa; + fs->regs.reg[14].how = REG_SAVED_OFFSET; + fs->regs.reg[14].loc.offset = (long)&mctx->gregs[REG_R14] - new_cfa; + fs->regs.reg[15].how = REG_SAVED_OFFSET; + fs->regs.reg[15].loc.offset = (long)&mctx->gregs[REG_R15] - new_cfa; + fs->regs.reg[16].how = REG_SAVED_OFFSET; + fs->regs.reg[16].loc.offset = (long)&mctx->gregs[REG_RIP] - new_cfa; + fs->retaddr_column = 16; + fs->signal_frame = 1; + + return _URC_NO_REASON; +} + +#else + +#define MD_FALLBACK_FRAME_STATE_FOR x86_fallback_frame_state + +static _Unwind_Reason_Code +x86_fallback_frame_state (struct _Unwind_Context *context, + _Unwind_FrameState *fs) +{ + unsigned char *pc = context->ra; + mcontext_t *mctx; + long new_cfa; + + if (/* Solaris 10 + ----------- + <__sighndlr+0>: push %ebp + <__sighndlr+1>: mov %esp,%ebp + <__sighndlr+3>: pushl 0x10(%ebp) + <__sighndlr+6>: pushl 0xc(%ebp) + <__sighndlr+9>: pushl 0x8(%ebp) + <__sighndlr+12>: call *0x14(%ebp) + <__sighndlr+15>: add $0xc,%esp <--- PC + <__sighndlr+18>: leave + <__sighndlr+19>: ret */ + (*(unsigned long *)(pc - 15) == 0xffec8b55 + && *(unsigned long *)(pc - 11) == 0x75ff1075 + && *(unsigned long *)(pc - 7) == 0x0875ff0c + && *(unsigned long *)(pc - 3) == 0x831455ff + && *(unsigned long *)(pc + 1) == 0xc3c90cc4) + + || /* Solaris 11 before snv_125 + -------------------------- + <__sighndlr+0> push %ebp + <__sighndlr+1> mov %esp,%ebp + <__sighndlr+4> pushl 0x10(%ebp) + <__sighndlr+6> pushl 0xc(%ebp) + <__sighndlr+9> pushl 0x8(%ebp) + <__sighndlr+12> call *0x14(%ebp) + <__sighndlr+15> add $0xc,%esp + <__sighndlr+18> leave <--- PC + <__sighndlr+19> ret */ + (*(unsigned long *)(pc - 18) == 0xffec8b55 + && *(unsigned long *)(pc - 14) == 0x7fff107f + && *(unsigned long *)(pc - 10) == 0x0875ff0c + && *(unsigned long *)(pc - 6) == 0x83145fff + && *(unsigned long *)(pc - 1) == 0xc3c90cc4) + + || /* Solaris 11 since snv_125 + ------------------------- + <__sighndlr+0> push %ebp + <__sighndlr+1> mov %esp,%ebp + <__sighndlr+3> and $0xfffffff0,%esp + <__sighndlr+6> sub $0x4,%esp + <__sighndlr+9> pushl 0x10(%ebp) + <__sighndlr+12> pushl 0xc(%ebp) + <__sighndlr+15> pushl 0x8(%ebp) + <__sighndlr+18> call *0x14(%ebp) + <__sighndlr+21> leave <--- PC + <__sighndlr+22> ret */ + (*(unsigned long *)(pc - 21) == 0x83ec8b55 + && *(unsigned long *)(pc - 17) == 0xec83f0e4 + && *(unsigned long *)(pc - 13) == 0x1075ff04 + && *(unsigned long *)(pc - 9) == 0xff0c75ff + && *(unsigned long *)(pc - 5) == 0x55ff0875 + && (*(unsigned long *)(pc - 1) & 0x00ffffff) == 0x00c3c914)) + { + struct handler_args { + int signo; + siginfo_t *sip; + ucontext_t *ucontext; + } *handler_args = context->cfa; + mctx = &handler_args->ucontext->uc_mcontext; + } + else + return _URC_END_OF_STACK; + + new_cfa = mctx->gregs[UESP]; + + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = 4; + fs->regs.cfa_offset = new_cfa - (long) context->cfa; + + /* The SVR4 register numbering macros aren't usable in libgcc. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&mctx->gregs[EAX] - new_cfa; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&mctx->gregs[EBX] - new_cfa; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&mctx->gregs[ECX] - new_cfa; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&mctx->gregs[EDX] - new_cfa; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&mctx->gregs[ESI] - new_cfa; + fs->regs.reg[7].how = REG_SAVED_OFFSET; + fs->regs.reg[7].loc.offset = (long)&mctx->gregs[EDI] - new_cfa; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&mctx->gregs[EBP] - new_cfa; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&mctx->gregs[EIP] - new_cfa; + fs->retaddr_column = 8; + + /* SIGFPE for IEEE-754 exceptions is delivered after the faulting insn + rather than before it, so don't set fs->signal_frame in that case. + We test whether the ES field of the Status Register is zero. */ + if ((mctx->fpregs.fp_reg_set.fpchip_state.status & 0x80) == 0) + fs->signal_frame = 1; + + return _URC_NO_REASON; +} + +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/value-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/value-unwind.h new file mode 100644 index 0000000000..c45fa9ce14 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/value-unwind.h @@ -0,0 +1,25 @@ +/* Store register values as _Unwind_Word type in DWARF2 EH unwind context. + Copyright (C) 2011-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published + by the Free Software Foundation; either version 3, or (at your + option) any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +/* Define this macro if the target stores register values as _Unwind_Word + type in unwind context. Only enable it for x32. */ +#if defined __x86_64 && !defined __LP64__ +# define REG_VALUE_IN_UNWIND_CONTEXT +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/i386/w32-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/i386/w32-unwind.h new file mode 100644 index 0000000000..d482836db6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/i386/w32-unwind.h @@ -0,0 +1,207 @@ +/* Definitions for Dwarf2 EH unwind support for Windows32 targets + Copyright (C) 2007-2015 Free Software Foundation, Inc. + Contributed by Pascal Obry + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + + +/* This file implements the md_fallback_frame_state_for routine for + Windows, triggered when the GCC table based unwinding process hits a + frame for which no unwind info has been registered. This typically + occurs when raising an exception from a signal handler, because the + handler is actually called from the OS kernel. + + The basic idea is to detect that we are indeed trying to unwind past a + signal handler and to fill out the GCC internal unwinding structures for + the OS kernel frame as if it had been directly called from the + interrupted context. + + This is all assuming that the code to set the handler asked the kernel + to pass a pointer to such context information. + + There is three main parts. + + 1) The first thing to do is to check if we are in a signal context. If + not we can just return as there is nothing to do. We are probably on + some foreign code for which no unwind frame can be found. If this is + a call from the Windows signal handler, then: + + 2) We must get the signal context information. + + * With the standard exception filter: + + This is on Windows pointed to by an EXCEPTION_POINTERS. We know that + the signal handle will call an UnhandledExceptionFilter with this + parameter. The spec for this routine is: + + LONG WINAPI UnhandledExceptionFilter(struct _EXCEPTION_POINTERS*); + + So the pointer to struct _EXCEPTION_POINTERS must be somewhere on the + stack. + + This was found experimentally to always be at offset 0 of the context + frame in all cases handled by this implementation. + + * With the SEH exception handler: + + In this case the signal context is directly on the stack as the SEH + exception handler has the following prototype: + + DWORD + SEH_error_handler (PEXCEPTION_RECORD ExceptionRecord, + PVOID EstablisherFrame, + PCONTEXT ContextRecord, + PVOID DispatcherContext) + + This was found experimentally to always be at offset 56 of the + context frame in all cases handled by this implementation. + + 3) When we have the signal context we just have to save some registers + and set the return address based on the program counter (Eip). + + Note that this implementation follows closely the same principles as the + GNU/Linux and OSF ones. */ + +#ifndef __MINGW64__ + +#define WIN32_MEAN_AND_LEAN +#include +/* Patterns found experimentally to be on a Windows signal handler */ + +/* In a standard exception filter */ + +#define SIG_PAT1 \ + (pc_[-2] == 0xff && pc_[-1] == 0xd0 /* call %eax */ \ + && pc_[0] == 0x83 && pc_[1] == 0xf8) /* cmp 0xdepl,%eax */ + +#define SIG_PAT2 \ + (pc_[-5] == 0xe8 && pc_[-4] == 0x68 /* call (depl16) */ \ + && pc_[0] == 0xc3) /* ret */ + +/* In a Win32 SEH handler */ + +#define SIG_SEH1 \ + (pc_[-5] == 0xe8 /* call addr */ \ + && pc_[0] == 0x83 && pc_[1] == 0xc4 /* add 0xval,%esp */ \ + && pc_[3] == 0xb8) /* mov 0xval,%eax */ + +#define SIG_SEH2 \ + (pc_[-5] == 0x8b && pc_[-4] == 0x4d /* mov depl(%ebp),%ecx */ \ + && pc_[0] == 0x64 && pc_[1] == 0x8b) /* mov %fs:(0), */ \ + +/* In the GCC alloca (stack probing) */ + +#define SIG_ALLOCA \ + (pc_[-1] == 0x83 /* orl $0x0,(%ecx) */ \ + && pc_[0] == 0x9 && pc_[1] == 0 \ + && pc_[2] == 0x2d && pc_[3] == 0 /* subl $0x1000,%eax */ \ + && pc_[4] == 0x10 && pc_[5] == 0) + + +#define MD_FALLBACK_FRAME_STATE_FOR i386_w32_fallback_frame_state + +static _Unwind_Reason_Code +i386_w32_fallback_frame_state (struct _Unwind_Context *context, + _Unwind_FrameState *fs) + +{ + void * ctx_ra_ = (void *)(context->ra); /* return address */ + void * ctx_cfa_ = (void *)(context->cfa); /* context frame address */ + unsigned char * pc_ = (unsigned char *) ctx_ra_; + + /* In the test below we look for two specific patterns found + experimentally to be in the Windows signal handler. */ + if (SIG_PAT1 || SIG_PAT2 || SIG_SEH1 || SIG_SEH2) + { + PEXCEPTION_POINTERS weinfo_; + PCONTEXT proc_ctx_; + long new_cfa_; + + if (SIG_SEH1) + proc_ctx_ = (PCONTEXT) (*(int*)(ctx_cfa_ + 56)); + else if (SIG_SEH2) + proc_ctx_ = (PCONTEXT) (*(int*)(ctx_cfa_ + 8)); + else + { + weinfo_ = (PEXCEPTION_POINTERS) (*(int*)ctx_cfa_); + proc_ctx_ = weinfo_->ContextRecord; + } + + /* The new context frame address is the stack pointer. */ + new_cfa_ = proc_ctx_->Esp; + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = __builtin_dwarf_sp_column(); + fs->regs.cfa_offset = new_cfa_ - (long) ctx_cfa_; + + /* Restore registers. */ + fs->regs.reg[0].how = REG_SAVED_OFFSET; + fs->regs.reg[0].loc.offset = (long)&proc_ctx_->Eax - new_cfa_; + fs->regs.reg[3].how = REG_SAVED_OFFSET; + fs->regs.reg[3].loc.offset = (long)&proc_ctx_->Ebx - new_cfa_; + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = (long)&proc_ctx_->Ecx - new_cfa_; + fs->regs.reg[2].how = REG_SAVED_OFFSET; + fs->regs.reg[2].loc.offset = (long)&proc_ctx_->Edx - new_cfa_; + fs->regs.reg[6].how = REG_SAVED_OFFSET; + fs->regs.reg[6].loc.offset = (long)&proc_ctx_->Esi - new_cfa_; + fs->regs.reg[7].how = REG_SAVED_OFFSET; + fs->regs.reg[7].loc.offset = (long)&proc_ctx_->Edi - new_cfa_; + fs->regs.reg[5].how = REG_SAVED_OFFSET; + fs->regs.reg[5].loc.offset = (long)&proc_ctx_->Ebp - new_cfa_; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = (long)&proc_ctx_->Eip - new_cfa_; + fs->retaddr_column = 8; + fs->signal_frame = 1; + + return _URC_NO_REASON; + } + + /* Unwinding through _alloca, propagating from a trap triggered by + one of it's probes prior to the real SP adjustment. The only + operations of interest performed is "pushl %ecx", followed by + ecx clobbering. */ + else if (SIG_ALLOCA) + { + /* Only one push between entry in _alloca and the probe trap. */ + long new_cfa_ = (long) ctx_cfa_ + 4; + + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_reg = __builtin_dwarf_sp_column(); + fs->regs.cfa_offset = new_cfa_ - (long) ctx_cfa_; + + /* The saved value of %ecx is at CFA - 4 */ + fs->regs.reg[1].how = REG_SAVED_OFFSET; + fs->regs.reg[1].loc.offset = -4; + + /* and what is stored at the CFA is the return address. */ + fs->retaddr_column = 8; + fs->regs.reg[8].how = REG_SAVED_OFFSET; + fs->regs.reg[8].loc.offset = 0; + fs->signal_frame = 1; + + return _URC_NO_REASON; + } + else + return _URC_END_OF_STACK; +} + +#endif /* !__MINGW64__ */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_dd.c new file mode 100644 index 0000000000..4ec9dc3390 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_dd.c @@ -0,0 +1,46 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_adddd3 (_Decimal64 x, _Decimal64 y) { + union decimal64 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid64_add (ux.i, uy.i); + return (res.d); +} + +_Decimal64 +__bid_subdd3 (_Decimal64 x, _Decimal64 y) { + union decimal64 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid64_sub (ux.i, uy.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_sd.c new file mode 100644 index 0000000000..fdea9872cb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_sd.c @@ -0,0 +1,54 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_addsd3 (_Decimal32 x, _Decimal32 y) { + UINT64 x64, y64, res64; + union decimal32 ux, uy, res; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res64 = __bid64_add (x64, y64); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} + +_Decimal32 +__bid_subsd3 (_Decimal32 x, _Decimal32 y) { + UINT64 x64, y64, res64; + union decimal32 ux, uy, res; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res64 = __bid64_sub (x64, y64); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_td.c new file mode 100644 index 0000000000..50c0ab2f56 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_addsub_td.c @@ -0,0 +1,46 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_addtd3 (_Decimal128 x, _Decimal128 y) { + union decimal128 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid128_add (ux.i, uy.i); + return (res.d); +} + +_Decimal128 +__bid_subtd3 (_Decimal128 x, _Decimal128 y) { + union decimal128 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid128_sub (ux.i, uy.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_df.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_df.c new file mode 100644 index 0000000000..3520a925e0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_df.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +DFtype +__bid_truncdddf (_Decimal64 x) { + DFtype res; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_binary64 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_di.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_di.c new file mode 100644 index 0000000000..1df2affb0d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_di.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +DItype +__bid_fixdddi (_Decimal64 x) { + DItype res = 0xbaddbaddbaddbaddull; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_int64_xint (ux.i); + + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_sd.c new file mode 100644 index 0000000000..ebf16fb24f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_sd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_truncddsd2 (_Decimal64 x) { + union decimal32 res; + union decimal64 ux; + + ux.d = x; + res.i = __bid64_to_bid32 (ux.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_sf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_sf.c new file mode 100644 index 0000000000..6539b442e3 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_sf.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +SFtype +__bid_truncddsf (_Decimal64 x) { + SFtype res; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_binary32 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_si.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_si.c new file mode 100644 index 0000000000..3d169b79e5 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_si.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +SItype +__bid_fixddsi (_Decimal64 x) { + SItype res = 0xbaddbadd; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_int32_xint (ux.i); + + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_td.c new file mode 100644 index 0000000000..038fa2a46e --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_td.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_extendddtd2 (_Decimal64 x) { + union decimal128 res; + union decimal64 ux; + + ux.d = x; + res.i = __bid64_to_bid128 (ux.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_tf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_tf.c new file mode 100644 index 0000000000..c244e817ea --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_tf.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +#if LIBGCC2_HAS_TF_MODE || BID_HAS_TF_MODE +TFtype +__bid_extendddtf (_Decimal64 x) { + union float128 res; + union decimal64 ux; + + ux.d = x; + res.i = __bid64_to_binary128 (ux.i); + return (res.f); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_udi.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_udi.c new file mode 100644 index 0000000000..3d0da5be61 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_udi.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +UDItype +__bid_fixunsdddi (_Decimal64 x) { + UDItype res = 0xbaddbaddbaddbaddull; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_uint64_xint (ux.i); + + if (res == 0x8000000000000000ull) res = 0; // for NaNs too + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_usi.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_usi.c new file mode 100644 index 0000000000..484a401e14 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_usi.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +USItype +__bid_fixunsddsi (_Decimal64 x) { + USItype res = 0xbaddbadd; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_uint32_xint (ux.i); + + if (res == 0x80000000) res = 0; // for NaNs too + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_xf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_xf.c new file mode 100644 index 0000000000..405304ee8b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_dd_to_xf.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +XFtype +__bid_extendddxf (_Decimal64 x) { + XFtype res; + union decimal64 ux; + + ux.d = x; + res = __bid64_to_binary80 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_dd.c new file mode 100644 index 0000000000..708390f939 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_dd.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_extenddfdd (DFtype x) { + union decimal64 res; + res.i = __binary64_to_bid64 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_sd.c new file mode 100644 index 0000000000..531f55cc20 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_sd.c @@ -0,0 +1,34 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_truncdfsd (DFtype x) { + union decimal32 res; + + res.i = __binary64_to_bid32 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_td.c new file mode 100644 index 0000000000..7ba6dc5283 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_df_to_td.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_extenddftd (DFtype x) { + union decimal128 res; + res.i = __binary64_to_bid128 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_dd.c new file mode 100644 index 0000000000..f5b788ad1c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_dd.c @@ -0,0 +1,35 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_floatdidd (DItype x) { + union decimal64 res; + + res.i = __bid64_from_int64 (x); + return (res.d); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_sd.c new file mode 100644 index 0000000000..8dbf675cac --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_sd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_floatdisd (DItype x) { + union decimal32 res; + UINT64 res64; + + res64 = __bid64_from_int64 (x); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_td.c new file mode 100644 index 0000000000..d7e0bb7b79 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_di_to_td.c @@ -0,0 +1,35 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_floatditd (DItype x) { + union decimal128 res; + + res.i = __bid128_from_int64 (x); + return (res.d); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_dd.c new file mode 100644 index 0000000000..82d0f17b1f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_dd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_divdd3 (_Decimal64 x, _Decimal64 y) { + union decimal64 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid64_div (ux.i, uy.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_sd.c new file mode 100644 index 0000000000..1179e6a044 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_sd.c @@ -0,0 +1,40 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_divsd3 (_Decimal32 x, _Decimal32 y) { + UINT64 x64, y64, res64; + union decimal32 ux, uy, res; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res64 = __bid64_div (x64, y64); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_td.c new file mode 100644 index 0000000000..76c5e596a0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_div_td.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_divtd3 (_Decimal128 x, _Decimal128 y) { + union decimal128 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid128_div (ux.i, uy.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_dd.c new file mode 100644 index 0000000000..f8b49378eb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_dd.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_eqdd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid64_quiet_equal (ux.i, uy.i); + if (res == 0) + res = 1; + else + res = 0; + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_sd.c new file mode 100644 index 0000000000..f943490de2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_sd.c @@ -0,0 +1,44 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_eqsd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = __bid64_quiet_equal (x64, y64); + if (res == 0) + res = 1; + else + res = 0; + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_td.c new file mode 100644 index 0000000000..1ae070f5eb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_eq_td.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_eqtd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid128_quiet_equal (ux.i, uy.i); + if (res == 0) + res = 1; + else + res = 0; + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_dd.c new file mode 100644 index 0000000000..f83ebc01a8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_dd.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_gedd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid64_quiet_greater_equal (ux.i, uy.i); + if (res == 0) res = -1; + + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_sd.c new file mode 100644 index 0000000000..0c0a0ea493 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_sd.c @@ -0,0 +1,42 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_gesd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = __bid64_quiet_greater_equal (x64, y64); + if (res == 0) res = -1; + + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_td.c new file mode 100644 index 0000000000..b4845ca5a6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ge_td.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_getd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid128_quiet_greater_equal (ux.i, uy.i); + if (res == 0) res = -1; + + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_dd.c new file mode 100644 index 0000000000..29c3264914 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_dd.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_gtdd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid64_quiet_greater (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_sd.c new file mode 100644 index 0000000000..fa35446f34 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_sd.c @@ -0,0 +1,40 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_gtsd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = __bid64_quiet_greater (x64, y64); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_td.c new file mode 100644 index 0000000000..e7e1dd442c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_gt_td.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_gttd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid128_quiet_greater (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd128.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd128.c new file mode 100644 index 0000000000..0c19c5c088 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd128.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +int +isinfd128 (_Decimal128 x) { + int res; + union decimal128 ux; + + ux.d = x; + res = __bid128_isInf (ux.i); + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd32.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd32.c new file mode 100644 index 0000000000..dce990b318 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd32.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +int +isinfd32 (_Decimal32 x) { + int res; + UINT64 x64; + union decimal32 ux; + + ux.d = x; + x64 = __bid32_to_bid64 (ux.i); + res = __bid64_isInf (x64); + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd64.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd64.c new file mode 100644 index 0000000000..7c0f88e3ee --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_isinfd64.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +int +isinfd64 (_Decimal64 x) { + int res; + union decimal64 ux; + + ux.d = x; + res = __bid64_isInf (ux.i); + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_dd.c new file mode 100644 index 0000000000..011309a291 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_dd.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_ledd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid64_quiet_less_equal (ux.i, uy.i); + if (res != 0) + res = -1; + else + res = 1; + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_sd.c new file mode 100644 index 0000000000..ca2e504e77 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_sd.c @@ -0,0 +1,44 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_lesd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = __bid64_quiet_less_equal (x64, y64); + if (res != 0) + res = -1; + else + res = 1; + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_td.c new file mode 100644 index 0000000000..ea18db837f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_le_td.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_letd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid128_quiet_less_equal (ux.i, uy.i); + if (res != 0) + res = -1; + else + res = 1; + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_dd.c new file mode 100644 index 0000000000..e4a73669aa --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_dd.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_ltdd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = -__bid64_quiet_less (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_sd.c new file mode 100644 index 0000000000..c7ec3acc0d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_sd.c @@ -0,0 +1,40 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_ltsd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = -__bid64_quiet_less (x64, y64); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_td.c new file mode 100644 index 0000000000..16d221d10b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_lt_td.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_lttd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = -__bid128_quiet_less (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_dd.c new file mode 100644 index 0000000000..76130701c6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_dd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_muldd3 (_Decimal64 x, _Decimal64 y) { + union decimal64 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid64_mul (ux.i, uy.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_sd.c new file mode 100644 index 0000000000..08f1fd072e --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_sd.c @@ -0,0 +1,40 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_mulsd3 (_Decimal32 x, _Decimal32 y) { + UINT64 x64, y64, res64; + union decimal32 ux, uy, res; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res64 = __bid64_mul (x64, y64); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_td.c new file mode 100644 index 0000000000..4a65fa6f14 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_mul_td.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_multd3 (_Decimal128 x, _Decimal128 y) { + union decimal128 ux, uy, res; + + ux.d = x; + uy.d = y; + res.i = __bid128_mul (ux.i, uy.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_dd.c new file mode 100644 index 0000000000..84091e2b52 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_dd.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_nedd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid64_quiet_not_equal (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_sd.c new file mode 100644 index 0000000000..62c50947ed --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_sd.c @@ -0,0 +1,40 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_nesd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = __bid64_quiet_not_equal (x64, y64); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_td.c new file mode 100644 index 0000000000..9f2661424f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_ne_td.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_netd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid128_quiet_not_equal (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_dd.c new file mode 100644 index 0000000000..b980e39ecb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_dd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_extendsddd2 (_Decimal32 x) { + union decimal64 res; + union decimal32 ux; + + ux.d = x; + res.i = __bid32_to_bid64 (ux.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_df.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_df.c new file mode 100644 index 0000000000..fc927a65d1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_df.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +DFtype +__bid_extendsddf (_Decimal32 x) { + DFtype res; + union decimal32 ux; + + ux.d = x; + res = __bid32_to_binary64 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_di.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_di.c new file mode 100644 index 0000000000..37ed95b1bd --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_di.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +DItype +__bid_fixsddi (_Decimal32 x) { + DItype res = 0xbaddbaddbaddbaddull; + UINT64 x64; + union decimal32 ux; + + ux.d = x; + x64 = __bid32_to_bid64 (ux.i); + res = __bid64_to_int64_xint (x64); + + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_sf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_sf.c new file mode 100644 index 0000000000..212ae36a08 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_sf.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +SFtype +__bid_truncsdsf (_Decimal32 x) { + SFtype res; + union decimal32 ux; + + ux.d = x; + res = __bid32_to_binary32 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_si.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_si.c new file mode 100644 index 0000000000..a4a4ab89fd --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_si.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +SItype +__bid_fixsdsi (_Decimal32 x) { + SItype res = 0xbaddbadd; + UINT64 x64; + union decimal32 ux; + + ux.d = x; + x64 = __bid32_to_bid64 (ux.i); + res = __bid64_to_int32_xint (x64); + + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_td.c new file mode 100644 index 0000000000..c6ac5c0998 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_td.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_extendsdtd2 (_Decimal32 x) { + union decimal128 res; + union decimal32 ux; + + ux.d = x; + res.i = __bid32_to_bid128 (ux.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_tf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_tf.c new file mode 100644 index 0000000000..063b8e8f13 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_tf.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +#if LIBGCC2_HAS_TF_MODE || BID_HAS_TF_MODE +TFtype +__bid_extendsdtf (_Decimal32 x) { + union float128 res; + union decimal32 ux; + + ux.d = x; + res.i = __bid32_to_binary128 (ux.i); + return (res.f); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_udi.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_udi.c new file mode 100644 index 0000000000..73a32dfea9 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_udi.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +UDItype +__bid_fixunssddi (_Decimal32 x) { + UDItype res = 0xbaddbaddbaddbaddull; + UINT64 x64; + union decimal32 ux; + + ux.d = x; + x64 = __bid32_to_bid64 (ux.i); + res = __bid64_to_uint64_xint (x64); + + if (res == 0x8000000000000000ull) res = 0; // for NaNs too + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_usi.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_usi.c new file mode 100644 index 0000000000..1f50e8a919 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_usi.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +USItype +__bid_fixunssdsi (_Decimal32 x) { + USItype res = 0xbaddbadd; + UINT64 x64; + union decimal32 ux; + + ux.d = x; + x64 = __bid32_to_bid64 (ux.i); + res = __bid64_to_uint32_xint (x64); + + if (res == 0x80000000) res = 0; // for NaNs too + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_xf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_xf.c new file mode 100644 index 0000000000..5657feee0c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sd_to_xf.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +XFtype +__bid_extendsdxf (_Decimal32 x) { + XFtype res; + union decimal32 ux; + + ux.d = x; + res = __bid32_to_binary80 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_dd.c new file mode 100644 index 0000000000..7eff3c575a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_dd.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_extendsfdd (SFtype x) { + union decimal64 res; + res.i = __binary32_to_bid64 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_sd.c new file mode 100644 index 0000000000..1b0ccbd813 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_sd.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_extendsfsd (SFtype x) { + union decimal32 res; + res.i = __binary32_to_bid32 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_td.c new file mode 100644 index 0000000000..1986ea79e7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_sf_to_td.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_extendsftd (SFtype x) { + union decimal128 res; + res.i = __binary32_to_bid128 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_dd.c new file mode 100644 index 0000000000..f62179763f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_dd.c @@ -0,0 +1,34 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_floatsidd (SItype x) { + union decimal64 res; + + res.i = __bid64_from_int32 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_sd.c new file mode 100644 index 0000000000..d4ead1d0d3 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_sd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_floatsisd (SItype x) { + union decimal32 res; + UINT64 res64; + + res64 = __bid64_from_int32 (x); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_td.c new file mode 100644 index 0000000000..eed6ca7cf1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_si_to_td.c @@ -0,0 +1,34 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_floatsitd (SItype x) { + union decimal128 res; + + res.i = __bid128_from_int32 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_dd.c new file mode 100644 index 0000000000..5b89887515 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_dd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_trunctddd2 (_Decimal128 x) { + union decimal128 ux; + union decimal64 res; + + ux.d = x; + res.i = __bid128_to_bid64 (ux.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_df.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_df.c new file mode 100644 index 0000000000..7e9a425f00 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_df.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +DFtype +__bid_trunctddf (_Decimal128 x) { + DFtype res; + union decimal128 ux; + + ux.d = x; + res = __bid128_to_binary64 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_di.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_di.c new file mode 100644 index 0000000000..e6f9c219b0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_di.c @@ -0,0 +1,39 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +DItype +__bid_fixtddi (_Decimal128 x) { + DItype res = 0xbaddbaddbaddbaddull; + union decimal128 ux; + + ux.d = x; + res = __bid128_to_int64_xint (ux.i); + + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_sd.c new file mode 100644 index 0000000000..1f4af48d4f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_sd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_trunctdsd2 (_Decimal128 x) { + union decimal128 ux; + union decimal32 res; + + ux.d = x; + res.i = __bid128_to_bid32 (ux.i); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_sf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_sf.c new file mode 100644 index 0000000000..0867bae3b1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_sf.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +SFtype +__bid_trunctdsf (_Decimal128 x) { + SFtype res; + union decimal128 ux; + + ux.d = x; + res = __bid128_to_binary32 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_si.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_si.c new file mode 100644 index 0000000000..ae187aba57 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_si.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +SItype +__bid_fixtdsi (_Decimal128 x) { + union decimal128 ux; + SItype res = 0xbaddbadd; + + ux.d = x; + res = __bid128_to_int32_xint (ux.i); + + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_tf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_tf.c new file mode 100644 index 0000000000..82d91e52ec --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_tf.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +#if LIBGCC2_HAS_TF_MODE || BID_HAS_TF_MODE +TFtype +__bid_trunctdtf (_Decimal128 x) { + union float128 res; + union decimal128 ux; + + ux.d = x; + res.i = __bid128_to_binary128 (ux.i); + return (res.f); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_udi.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_udi.c new file mode 100644 index 0000000000..7f6c345c48 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_udi.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +UDItype +__bid_fixunstddi (_Decimal128 x) { + UDItype res = 0xbaddbaddbaddbaddull; + union decimal128 ux; + + ux.d = x; + + res = __bid128_to_uint64_xint (ux.i); + + if (res == 0x8000000000000000ull) res = 0; // for NaNs too + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_usi.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_usi.c new file mode 100644 index 0000000000..406198d0d0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_usi.c @@ -0,0 +1,40 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +USItype +__bid_fixunstdsi (_Decimal128 x) { + USItype res = 0xbaddbadd; + union decimal128 ux; + + ux.d = x; + res = __bid128_to_uint32_xint (ux.i); + + if (res == 0x80000000) res = 0; // for NaNs too + return (res); +} + + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_xf.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_xf.c new file mode 100644 index 0000000000..ae49f4944a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_td_to_xf.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +XFtype +__bid_trunctdxf (_Decimal128 x) { + XFtype res; + union decimal128 ux; + + ux.d = x; + res = __bid128_to_binary80 (ux.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_dd.c new file mode 100644 index 0000000000..c4fc63830b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_dd.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +#if LIBGCC2_HAS_TF_MODE || BID_HAS_TF_MODE +_Decimal64 +__bid_trunctfdd (TFtype x) { + union decimal64 res; + union float128 ux; + + ux.f = x; + res.i = __binary128_to_bid64 (ux.i); + return (res.d); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_sd.c new file mode 100644 index 0000000000..33ef4ea624 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_sd.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +#if LIBGCC2_HAS_TF_MODE || BID_HAS_TF_MODE +_Decimal32 +__bid_trunctfsd (TFtype x) { + union decimal32 res; + union float128 ux; + + ux.f = x; + res.i = __binary128_to_bid32 (ux.i); + return (res.d); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_td.c new file mode 100644 index 0000000000..7637b2ee4a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_tf_to_td.c @@ -0,0 +1,38 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +#if LIBGCC2_HAS_TF_MODE || BID_HAS_TF_MODE +_Decimal128 +__bid_extendtftd (TFtype x) { + union decimal128 res; + union float128 ux; + + ux.f = x; + res.i = __binary128_to_bid128 (ux.i); + return (res.d); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_dd.c new file mode 100644 index 0000000000..4406ec0c27 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_dd.c @@ -0,0 +1,35 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_floatunsdidd (UDItype x) { + union decimal64 res; + + res.i = __bid64_from_uint64 (x); + return (res.d); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_sd.c new file mode 100644 index 0000000000..37490f2d97 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_sd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_floatunsdisd (UDItype x) { + union decimal32 res; + UINT64 res64; + + res64 = __bid64_from_uint64 (x); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_td.c new file mode 100644 index 0000000000..b888a92040 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_udi_to_td.c @@ -0,0 +1,35 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_floatunsditd (UDItype x) { + union decimal128 res; + + res.i = __bid128_from_uint64 (x); + return (res.d); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_dd.c new file mode 100644 index 0000000000..6ccc83dd3a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_dd.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_unorddd2 (_Decimal64 x, _Decimal64 y) { + CMPtype res; + union decimal64 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid64_quiet_unordered (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_sd.c new file mode 100644 index 0000000000..2934b61029 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_sd.c @@ -0,0 +1,41 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_unordsd2 (_Decimal32 x, _Decimal32 y) { + CMPtype res; + UINT64 x64, y64; + union decimal32 ux, uy; + + ux.d = x; + uy.d = y; + x64 = __bid32_to_bid64 (ux.i); + y64 = __bid32_to_bid64 (uy.i); + res = __bid64_quiet_unordered (x64, y64); + return (res); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_td.c new file mode 100644 index 0000000000..0685d7678b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_unord_td.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +CMPtype +__bid_unordtd2 (_Decimal128 x, _Decimal128 y) { + CMPtype res; + union decimal128 ux, uy; + + ux.d = x; + uy.d = y; + res = __bid128_quiet_unordered (ux.i, uy.i); + return (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_dd.c new file mode 100644 index 0000000000..0b2715631c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_dd.c @@ -0,0 +1,35 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_floatunssidd (USItype x) { + union decimal64 res; + + res.i = __bid64_from_uint32 (x); + return (res.d); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_sd.c new file mode 100644 index 0000000000..0e98862210 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_sd.c @@ -0,0 +1,36 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_floatunssisd (USItype x) { + union decimal32 res; + UINT64 res64; + + res64 = __bid64_from_uint32 (x); + res.i = __bid64_to_bid32 (res64); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_td.c new file mode 100644 index 0000000000..0f126523e6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_usi_to_td.c @@ -0,0 +1,35 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_floatunssitd (USItype x) { + union decimal128 res; + + res.i = __bid128_from_uint32 (x); + return (res.d); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_dd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_dd.c new file mode 100644 index 0000000000..4bd39d71c7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_dd.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal64 +__bid_truncxfdd (XFtype x) { + union decimal64 res; + res.i = __binary80_to_bid64 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_sd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_sd.c new file mode 100644 index 0000000000..50f8543daf --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_sd.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal32 +__bid_truncxfsd (XFtype x) { + union decimal32 res; + res.i = __binary80_to_bid32 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_td.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_td.c new file mode 100644 index 0000000000..d8b4e41a04 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/_xf_to_td.c @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_conf.h" +#include "bid_functions.h" +#include "bid_gcc_intrinsics.h" + +_Decimal128 +__bid_extendxftd (XFtype x) { + union decimal128 res; + res.i = __binary80_to_bid128 (x); + return (res.d); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128.c new file mode 100644 index 0000000000..a741a3b735 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128.c @@ -0,0 +1,4333 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +// the first entry of nr_digits[i - 1] (where 1 <= i <= 113), indicates +// the number of decimal digits needed to represent a binary number with i bits; +// however, if a binary number of i bits may require either k or k + 1 decimal +// digits, then the first entry of nr_digits[i - 1] is 0; in this case if the +// number is less than the value represented by the second and third entries +// concatenated, then the number of decimal digits k is the fourth entry, else +// the number of decimal digits is the fourth entry plus 1 +DEC_DIGITS nr_digits[] = { // only the first entry is used if it is not 0 + {1, 0x0000000000000000ULL, 0x000000000000000aULL, 1} + , // 1-bit n < 10^1 + {1, 0x0000000000000000ULL, 0x000000000000000aULL, 1} + , // 2-bit n < 10^1 + {1, 0x0000000000000000ULL, 0x000000000000000aULL, 1} + , // 3-bit n < 10^1 + {0, 0x0000000000000000ULL, 0x000000000000000aULL, 1} + , // 4-bit n ? 10^1 + {2, 0x0000000000000000ULL, 0x0000000000000064ULL, 2} + , // 5-bit n < 10^2 + {2, 0x0000000000000000ULL, 0x0000000000000064ULL, 2} + , // 6-bit n < 10^2 + {0, 0x0000000000000000ULL, 0x0000000000000064ULL, 2} + , // 7-bit n ? 10^2 + {3, 0x0000000000000000ULL, 0x00000000000003e8ULL, 3} + , // 8-bit n < 10^3 + {3, 0x0000000000000000ULL, 0x00000000000003e8ULL, 3} + , // 9-bit n < 10^3 + {0, 0x0000000000000000ULL, 0x00000000000003e8ULL, 3} + , // 10-bit n ? 10^3 + {4, 0x0000000000000000ULL, 0x0000000000002710ULL, 4} + , // 11-bit n < 10^4 + {4, 0x0000000000000000ULL, 0x0000000000002710ULL, 4} + , // 12-bit n < 10^4 + {4, 0x0000000000000000ULL, 0x0000000000002710ULL, 4} + , // 13-bit n < 10^4 + {0, 0x0000000000000000ULL, 0x0000000000002710ULL, 4} + , // 14-bit n ? 10^4 + {5, 0x0000000000000000ULL, 0x00000000000186a0ULL, 5} + , // 15-bit n < 10^5 + {5, 0x0000000000000000ULL, 0x00000000000186a0ULL, 5} + , // 16-bit n < 10^5 + {0, 0x0000000000000000ULL, 0x00000000000186a0ULL, 5} + , // 17-bit n ? 10^5 + {6, 0x0000000000000000ULL, 0x00000000000f4240ULL, 6} + , // 18-bit n < 10^6 + {6, 0x0000000000000000ULL, 0x00000000000f4240ULL, 6} + , // 19-bit n < 10^6 + {0, 0x0000000000000000ULL, 0x00000000000f4240ULL, 6} + , // 20-bit n ? 10^6 + {7, 0x0000000000000000ULL, 0x0000000000989680ULL, 7} + , // 21-bit n < 10^7 + {7, 0x0000000000000000ULL, 0x0000000000989680ULL, 7} + , // 22-bit n < 10^7 + {7, 0x0000000000000000ULL, 0x0000000000989680ULL, 7} + , // 23-bit n < 10^7 + {0, 0x0000000000000000ULL, 0x0000000000989680ULL, 7} + , // 24-bit n ? 10^7 + {8, 0x0000000000000000ULL, 0x0000000005f5e100ULL, 8} + , // 25-bit n < 10^8 + {8, 0x0000000000000000ULL, 0x0000000005f5e100ULL, 8} + , // 26-bit n < 10^8 + {0, 0x0000000000000000ULL, 0x0000000005f5e100ULL, 8} + , // 27-bit n ? 10^8 + {9, 0x0000000000000000ULL, 0x000000003b9aca00ULL, 9} + , // 28-bit n < 10^9 + {9, 0x0000000000000000ULL, 0x000000003b9aca00ULL, 9} + , // 29-bit n < 10^9 + {0, 0x0000000000000000ULL, 0x000000003b9aca00ULL, 9} + , // 30-bit n ? 10^9 + {10, 0x0000000000000000ULL, 0x00000002540be400ULL, 10} + , // 31-bit n < 10^10 + {10, 0x0000000000000000ULL, 0x00000002540be400ULL, 10} + , // 32-bit n < 10^10 + {10, 0x0000000000000000ULL, 0x00000002540be400ULL, 10} + , // 33-bit n < 10^10 + {0, 0x0000000000000000ULL, 0x00000002540be400ULL, 10} + , // 34-bit n ? 10^10 + {11, 0x0000000000000000ULL, 0x000000174876e800ULL, 11} + , // 35-bit n < 10^11 + {11, 0x0000000000000000ULL, 0x000000174876e800ULL, 11} + , // 36-bit n < 10^11 + {0, 0x0000000000000000ULL, 0x000000174876e800ULL, 11} + , // 37-bit n ? 10^11 + {12, 0x0000000000000000ULL, 0x000000e8d4a51000ULL, 12} + , // 38-bit n < 10^12 + {12, 0x0000000000000000ULL, 0x000000e8d4a51000ULL, 12} + , // 39-bit n < 10^12 + {0, 0x0000000000000000ULL, 0x000000e8d4a51000ULL, 12} + , // 40-bit n ? 10^12 + {13, 0x0000000000000000ULL, 0x000009184e72a000ULL, 13} + , // 41-bit n < 10^13 + {13, 0x0000000000000000ULL, 0x000009184e72a000ULL, 13} + , // 42-bit n < 10^13 + {13, 0x0000000000000000ULL, 0x000009184e72a000ULL, 13} + , // 43-bit n < 10^13 + {0, 0x0000000000000000ULL, 0x000009184e72a000ULL, 13} + , // 44-bit n ? 10^13 + {14, 0x0000000000000000ULL, 0x00005af3107a4000ULL, 14} + , // 45-bit n < 10^14 + {14, 0x0000000000000000ULL, 0x00005af3107a4000ULL, 14} + , // 46-bit n < 10^14 + {0, 0x0000000000000000ULL, 0x00005af3107a4000ULL, 14} + , // 47-bit n ? 10^14 + {15, 0x0000000000000000ULL, 0x00038d7ea4c68000ULL, 15} + , // 48-bit n < 10^15 + {15, 0x0000000000000000ULL, 0x00038d7ea4c68000ULL, 15} + , // 49-bit n < 10^15 + {0, 0x0000000000000000ULL, 0x00038d7ea4c68000ULL, 15} + , // 50-bit n ? 10^15 + {16, 0x0000000000000000ULL, 0x002386f26fc10000ULL, 16} + , // 51-bit n < 10^16 + {16, 0x0000000000000000ULL, 0x002386f26fc10000ULL, 16} + , // 52-bit n < 10^16 + {16, 0x0000000000000000ULL, 0x002386f26fc10000ULL, 16} + , // 53-bit n < 10^16 + {0, 0x0000000000000000ULL, 0x002386f26fc10000ULL, 16} + , // 54-bit n ? 10^16 + {17, 0x0000000000000000ULL, 0x016345785d8a0000ULL, 17} + , // 55-bit n < 10^17 + {17, 0x0000000000000000ULL, 0x016345785d8a0000ULL, 17} + , // 56-bit n < 10^17 + {0, 0x0000000000000000ULL, 0x016345785d8a0000ULL, 17} + , // 57-bit n ? 10^17 + {18, 0x0000000000000000ULL, 0x0de0b6b3a7640000ULL, 18} + , // 58-bit n < 10^18 + {18, 0x0000000000000000ULL, 0x0de0b6b3a7640000ULL, 18} + , // 59-bit n < 10^18 + {0, 0x0000000000000000ULL, 0x0de0b6b3a7640000ULL, 18} + , // 60-bit n ? 10^18 + {19, 0x0000000000000000ULL, 0x8ac7230489e80000ULL, 19} + , // 61-bit n < 10^19 + {19, 0x0000000000000000ULL, 0x8ac7230489e80000ULL, 19} + , // 62-bit n < 10^19 + {19, 0x0000000000000000ULL, 0x8ac7230489e80000ULL, 19} + , // 63-bit n < 10^19 + {0, 0x0000000000000000ULL, 0x8ac7230489e80000ULL, 19} + , // 64-bit n ? 10^19 + {20, 0x0000000000000005ULL, 0x6bc75e2d63100000ULL, 20} + , // 65-bit n < 10^20 + {20, 0x0000000000000005ULL, 0x6bc75e2d63100000ULL, 20} + , // 66-bit n < 10^20 + {0, 0x0000000000000005ULL, 0x6bc75e2d63100000ULL, 20} + , // 67-bit n ? 10^20 + {21, 0x0000000000000036ULL, 0x35c9adc5dea00000ULL, 21} + , // 68-bit n < 10^21 + {21, 0x0000000000000036ULL, 0x35c9adc5dea00000ULL, 21} + , // 69-bit n < 10^21 + {0, 0x0000000000000036ULL, 0x35c9adc5dea00000ULL, 21} + , // 70-bit n ? 10^21 + {22, 0x000000000000021eULL, 0x19e0c9bab2400000ULL, 22} + , // 71-bit n < 10^22 + {22, 0x000000000000021eULL, 0x19e0c9bab2400000ULL, 22} + , // 72-bit n < 10^22 + {22, 0x000000000000021eULL, 0x19e0c9bab2400000ULL, 22} + , // 73-bit n < 10^22 + {0, 0x000000000000021eULL, 0x19e0c9bab2400000ULL, 22} + , // 74-bit n ? 10^22 + {23, 0x000000000000152dULL, 0x02c7e14af6800000ULL, 23} + , // 75-bit n < 10^23 + {23, 0x000000000000152dULL, 0x02c7e14af6800000ULL, 23} + , // 76-bit n < 10^23 + {0, 0x000000000000152dULL, 0x02c7e14af6800000ULL, 23} + , // 77-bit n ? 10^23 + {24, 0x000000000000d3c2ULL, 0x1bcecceda1000000ULL, 24} + , // 78-bit n < 10^24 + {24, 0x000000000000d3c2ULL, 0x1bcecceda1000000ULL, 24} + , // 79-bit n < 10^24 + {0, 0x000000000000d3c2ULL, 0x1bcecceda1000000ULL, 24} + , // 80-bit n ? 10^24 + {25, 0x0000000000084595ULL, 0x161401484a000000ULL, 25} + , // 81-bit n < 10^25 + {25, 0x0000000000084595ULL, 0x161401484a000000ULL, 25} + , // 82-bit n < 10^25 + {25, 0x0000000000084595ULL, 0x161401484a000000ULL, 25} + , // 83-bit n < 10^25 + {0, 0x0000000000084595ULL, 0x161401484a000000ULL, 25} + , // 84-bit n ? 10^25 + {26, 0x000000000052b7d2ULL, 0xdcc80cd2e4000000ULL, 26} + , // 85-bit n < 10^26 + {26, 0x000000000052b7d2ULL, 0xdcc80cd2e4000000ULL, 26} + , // 86-bit n < 10^26 + {0, 0x000000000052b7d2ULL, 0xdcc80cd2e4000000ULL, 26} + , // 87-bit n ? 10^26 + {27, 0x00000000033b2e3cULL, 0x9fd0803ce8000000ULL, 27} + , // 88-bit n < 10^27 + {27, 0x00000000033b2e3cULL, 0x9fd0803ce8000000ULL, 27} + , // 89-bit n < 10^27 + {0, 0x00000000033b2e3cULL, 0x9fd0803ce8000000ULL, 27} + , // 90-bit n ? 10^27 + {28, 0x00000000204fce5eULL, 0x3e25026110000000ULL, 28} + , // 91-bit n < 10^28 + {28, 0x00000000204fce5eULL, 0x3e25026110000000ULL, 28} + , // 92-bit n < 10^28 + {28, 0x00000000204fce5eULL, 0x3e25026110000000ULL, 28} + , // 93-bit n < 10^28 + {0, 0x00000000204fce5eULL, 0x3e25026110000000ULL, 28} + , // 94-bit n ? 10^28 + {29, 0x00000001431e0faeULL, 0x6d7217caa0000000ULL, 29} + , // 95-bit n < 10^29 + {29, 0x00000001431e0faeULL, 0x6d7217caa0000000ULL, 29} + , // 96-bit n < 10^29 + {0, 0x00000001431e0faeULL, 0x6d7217caa0000000ULL, 29} + , // 97-bit n ? 10^29 + {30, 0x0000000c9f2c9cd0ULL, 0x4674edea40000000ULL, 30} + , // 98-bit n < 10^30 + {30, 0x0000000c9f2c9cd0ULL, 0x4674edea40000000ULL, 30} + , // 99-bit n < 10^30 + {0, 0x0000000c9f2c9cd0ULL, 0x4674edea40000000ULL, 30} + , // 100-bit n ? 10^30 + {31, 0x0000007e37be2022ULL, 0xc0914b2680000000ULL, 31} + , // 101-bit n < 10^31 + {31, 0x0000007e37be2022ULL, 0xc0914b2680000000ULL, 31} + , // 102-bit n < 10^31 + {0, 0x0000007e37be2022ULL, 0xc0914b2680000000ULL, 31} + , // 103-bit n ? 10^31 + {32, 0x000004ee2d6d415bULL, 0x85acef8100000000ULL, 32} + , // 104-bit n < 10^32 + {32, 0x000004ee2d6d415bULL, 0x85acef8100000000ULL, 32} + , // 105-bit n < 10^32 + {32, 0x000004ee2d6d415bULL, 0x85acef8100000000ULL, 32} + , // 106-bit n < 10^32 + {0, 0x000004ee2d6d415bULL, 0x85acef8100000000ULL, 32} + , // 107-bit n ? 10^32 + {33, 0x0000314dc6448d93ULL, 0x38c15b0a00000000ULL, 33} + , // 108-bit n < 10^33 + {33, 0x0000314dc6448d93ULL, 0x38c15b0a00000000ULL, 33} + , // 109-bit n < 10^33 + {0, 0x0000314dc6448d93ULL, 0x38c15b0a00000000ULL, 33} + , // 100-bit n ? 10^33 + {34, 0x0001ed09bead87c0ULL, 0x378d8e6400000000ULL, 34} + , // 111-bit n < 10^34 + {34, 0x0001ed09bead87c0ULL, 0x378d8e6400000000ULL, 34} + , // 112-bit n < 10^34 + {0, 0x0001ed09bead87c0ULL, 0x378d8e6400000000ULL, 34} // 113-bit n ? 10^34 +//{ 35, 0x0013426172c74d82ULL, 0x2b878fe800000000ULL, 35 } // 114-bit n < 10^35 +}; + +// midpoint64[i - 1] = 1/2 * 10^i = 5 * 10^(i-1), 1 <= i <= 19 +UINT64 midpoint64[] = { + 0x0000000000000005ULL, // 1/2 * 10^1 = 5 * 10^0 + 0x0000000000000032ULL, // 1/2 * 10^2 = 5 * 10^1 + 0x00000000000001f4ULL, // 1/2 * 10^3 = 5 * 10^2 + 0x0000000000001388ULL, // 1/2 * 10^4 = 5 * 10^3 + 0x000000000000c350ULL, // 1/2 * 10^5 = 5 * 10^4 + 0x000000000007a120ULL, // 1/2 * 10^6 = 5 * 10^5 + 0x00000000004c4b40ULL, // 1/2 * 10^7 = 5 * 10^6 + 0x0000000002faf080ULL, // 1/2 * 10^8 = 5 * 10^7 + 0x000000001dcd6500ULL, // 1/2 * 10^9 = 5 * 10^8 + 0x000000012a05f200ULL, // 1/2 * 10^10 = 5 * 10^9 + 0x0000000ba43b7400ULL, // 1/2 * 10^11 = 5 * 10^10 + 0x000000746a528800ULL, // 1/2 * 10^12 = 5 * 10^11 + 0x0000048c27395000ULL, // 1/2 * 10^13 = 5 * 10^12 + 0x00002d79883d2000ULL, // 1/2 * 10^14 = 5 * 10^13 + 0x0001c6bf52634000ULL, // 1/2 * 10^15 = 5 * 10^14 + 0x0011c37937e08000ULL, // 1/2 * 10^16 = 5 * 10^15 + 0x00b1a2bc2ec50000ULL, // 1/2 * 10^17 = 5 * 10^16 + 0x06f05b59d3b20000ULL, // 1/2 * 10^18 = 5 * 10^17 + 0x4563918244f40000ULL // 1/2 * 10^19 = 5 * 10^18 +}; + +// midpoint128[i - 20] = 1/2 * 10^i = 5 * 10^(i-1), 20 <= i <= 38 +UINT128 midpoint128[] = { // the 64-bit word order is L, H + {{0xb5e3af16b1880000ULL, 0x0000000000000002ULL} + } + , // 1/2 * 10^20 = 5 * 10^19 + {{0x1ae4d6e2ef500000ULL, 0x000000000000001bULL} + } + , // 1/2 * 10^21 = 5 * 10^20 + {{0x0cf064dd59200000ULL, 0x000000000000010fULL} + } + , // 1/2 * 10^22 = 5 * 10^21 + {{0x8163f0a57b400000ULL, 0x0000000000000a96ULL} + } + , // 1/2 * 10^23 = 5 * 10^22 + {{0x0de76676d0800000ULL, 0x00000000000069e1ULL} + } + , // 1/2 * 10^24 = 5 * 10^23 + {{0x8b0a00a425000000ULL, 0x00000000000422caULL} + } + , // 1/2 * 10^25 = 5 * 10^24 + {{0x6e64066972000000ULL, 0x0000000000295be9ULL} + } + , // 1/2 * 10^26 = 5 * 10^25 + {{0x4fe8401e74000000ULL, 0x00000000019d971eULL} + } + , // 1/2 * 10^27 = 5 * 10^26 + {{0x1f12813088000000ULL, 0x000000001027e72fULL} + } + , // 1/2 * 10^28 = 5 * 10^27 + {{0x36b90be550000000ULL, 0x00000000a18f07d7ULL} + } + , // 1/2 * 10^29 = 5 * 10^28 + {{0x233a76f520000000ULL, 0x000000064f964e68ULL} + } + , // 1/2 * 10^30 = 5 * 10^29 + {{0x6048a59340000000ULL, 0x0000003f1bdf1011ULL} + } + , // 1/2 * 10^31 = 5 * 10^30 + {{0xc2d677c080000000ULL, 0x0000027716b6a0adULL} + } + , // 1/2 * 10^32 = 5 * 10^31 + {{0x9c60ad8500000000ULL, 0x000018a6e32246c9ULL} + } + , // 1/2 * 10^33 = 5 * 10^32 + {{0x1bc6c73200000000ULL, 0x0000f684df56c3e0ULL} + } + , // 1/2 * 10^34 = 5 * 10^33 + {{0x15c3c7f400000000ULL, 0x0009a130b963a6c1ULL} + } + , // 1/2 * 10^35 = 5 * 10^34 + {{0xd9a5cf8800000000ULL, 0x00604be73de4838aULL} + } + , // 1/2 * 10^36 = 5 * 10^35 + {{0x807a1b5000000000ULL, 0x03c2f7086aed236cULL} + } + , // 1/2 * 10^37 = 5 * 10^36 + {{0x04c5112000000000ULL, 0x259da6542d43623dULL} + } // 1/2 * 10^38 = 5 * 10^37 +}; + +// midpoint192[i - 39] = 1/2 * 10^i = 5 * 10^(i-1), 39 <= i <= 58 +UINT192 midpoint192[] = { // the 64-bit word order is L, M, H + {{0x2fb2ab4000000000ULL, 0x78287f49c4a1d662ULL, 0x0000000000000001ULL} + } + , + // 1/2 * 10^39 = 5 * 10^38 + {{0xdcfab08000000000ULL, 0xb194f8e1ae525fd5ULL, 0x000000000000000eULL} + } + , + // 1/2 * 10^40 = 5 * 10^39 + {{0xa1cae50000000000ULL, 0xefd1b8d0cf37be5aULL, 0x0000000000000092ULL} + } + , + // 1/2 * 10^41 = 5 * 10^40 + {{0x51ecf20000000000ULL, 0x5e313828182d6f8aULL, 0x00000000000005bdULL} + } + , + // 1/2 * 10^42 = 5 * 10^41 + {{0x3341740000000000ULL, 0xadec3190f1c65b67ULL, 0x0000000000003965ULL} + } + , + // 1/2 * 10^43 = 5 * 10^42 + {{0x008e880000000000ULL, 0xcb39efa971bf9208ULL, 0x0000000000023df8ULL} + } + , + // 1/2 * 10^44 = 5 * 10^43 + {{0x0591500000000000ULL, 0xf0435c9e717bb450ULL, 0x0000000000166bb7ULL} + } + , + // 1/2 * 10^45 = 5 * 10^44 + {{0x37ad200000000000ULL, 0x62a19e306ed50b20ULL, 0x0000000000e0352fULL} + } + , + // 1/2 * 10^46 = 5 * 10^45 + {{0x2cc3400000000000ULL, 0xda502de454526f42ULL, 0x0000000008c213d9ULL} + } + , + // 1/2 * 10^47 = 5 * 10^46 + {{0xbfa0800000000000ULL, 0x8721caeb4b385895ULL, 0x000000005794c682ULL} + } + , + // 1/2 * 10^48 = 5 * 10^47 + {{0x7c45000000000000ULL, 0x4751ed30f03375d9ULL, 0x000000036bcfc119ULL} + } + , + // 1/2 * 10^49 = 5 * 10^48 + {{0xdab2000000000000ULL, 0xc93343e962029a7eULL, 0x00000022361d8afcULL} + } + , + // 1/2 * 10^50 = 5 * 10^49 + {{0x8af4000000000000ULL, 0xdc00a71dd41a08f4ULL, 0x000001561d276ddfULL} + } + , + // 1/2 * 10^51 = 5 * 10^50 + {{0x6d88000000000000ULL, 0x9806872a4904598dULL, 0x00000d5d238a4abeULL} + } + , + // 1/2 * 10^52 = 5 * 10^51 + {{0x4750000000000000ULL, 0xf04147a6da2b7f86ULL, 0x000085a36366eb71ULL} + } + , + // 1/2 * 10^53 = 5 * 10^52 + {{0xc920000000000000ULL, 0x628ccc8485b2fb3eULL, 0x00053861e2053273ULL} + } + , + // 1/2 * 10^54 = 5 * 10^53 + {{0xdb40000000000000ULL, 0xd97ffd2d38fdd073ULL, 0x003433d2d433f881ULL} + } + , + // 1/2 * 10^55 = 5 * 10^54 + {{0x9080000000000000ULL, 0x7effe3c439ea2486ULL, 0x020a063c4a07b512ULL} + } + , + // 1/2 * 10^56 = 5 * 10^55 + {{0xa500000000000000ULL, 0xf5fee5aa43256d41ULL, 0x14643e5ae44d12b8ULL} + } + , + // 1/2 * 10^57 = 5 * 10^56 + {{0x7200000000000000ULL, 0x9bf4f8a69f764490ULL, 0xcbea6f8ceb02bb39ULL} + } + // 1/2 * 10^58 = 5 * 10^57 +}; + +// midpoint256[i - 59] = 1/2 * 10^i = 5 * 10^(i-1), 59 <= i <= 68 +UINT256 midpoint256[] = { // the 64-bit word order is LL, LH, HL, HH + {{0x7400000000000000ULL, 0x1791b6823a9eada4ULL, + 0xf7285b812e1b5040ULL, 0x0000000000000007ULL} + } + , // 1/2 * 10^59 = 5 * 10^58 + {{0x8800000000000000ULL, 0xebb121164a32c86cULL, + 0xa793930bcd112280ULL, 0x000000000000004fULL} + } + , // 1/2 * 10^60 = 5 * 10^59 + {{0x5000000000000000ULL, 0x34eb4adee5fbd43dULL, + 0x8bc3be7602ab5909ULL, 0x000000000000031cULL} + } + , // 1/2 * 10^61 = 5 * 10^60 + {{0x2000000000000000ULL, 0x1130ecb4fbd64a65ULL, + 0x75a5709c1ab17a5cULL, 0x0000000000001f1dULL} + } + , // 1/2 * 10^62 = 5 * 10^61 + {{0x4000000000000000ULL, 0xabe93f11d65ee7f3ULL, + 0x987666190aeec798ULL, 0x0000000000013726ULL} + } + , // 1/2 * 10^63 = 5 * 10^62 + {{0x8000000000000000ULL, 0xb71c76b25fb50f80ULL, + 0xf49ffcfa6d53cbf6ULL, 0x00000000000c2781ULL} + } + , // 1/2 * 10^64 = 5 * 10^63 + {{0x0000000000000000ULL, 0x271ca2f7bd129b05ULL, + 0x8e3fe1c84545f7a3ULL, 0x0000000000798b13ULL} + } + , // 1/2 * 10^65 = 5 * 10^64 + {{0x0000000000000000ULL, 0x871e5dad62ba0e32ULL, + 0x8e7ed1d2b4bbac5fULL, 0x0000000004bf6ec3ULL} + } + , // 1/2 * 10^66 = 5 * 10^65 + {{0x0000000000000000ULL, 0x472fa8c5db448df4ULL, + 0x90f4323b0f54bbbbULL, 0x000000002f7a53a3ULL} + } + , // 1/2 * 10^67 = 5 * 10^66 + {{0x0000000000000000ULL, 0xc7dc97ba90ad8b88ULL, + 0xa989f64e994f5550ULL, 0x00000001dac74463ULL} + } + , // 1/2 * 10^68 = 5 * 10^67 + {{0x0000000000000000ULL, 0xce9ded49a6c77350ULL, + 0x9f639f11fd195527ULL, 0x000000128bc8abe4ULL} + } + , // 1/2 * 10^69 = 5 * 10^68 + {{0x0000000000000000ULL, 0x122b44e083ca8120ULL, + 0x39e436b3e2fd538eULL, 0x000000b975d6b6eeULL} + } + , // 1/2 * 10^70 = 5 * 10^69 + {{0x0000000000000000ULL, 0xb5b0b0c525e90b40ULL, + 0x42ea2306dde5438cULL, 0x0000073e9a63254eULL} + } + , // 1/2 * 10^71 = 5 * 10^70 + {{0x0000000000000000ULL, 0x18e6e7b37b1a7080ULL, + 0x9d255e44aaf4a37fULL, 0x0000487207df750eULL} + } + , // 1/2 * 10^72 = 5 * 10^71 + {{0x0000000000000000ULL, 0xf9050d02cf086500ULL, + 0x2375aeaead8e62f6ULL, 0x0002d4744eba9292ULL} + } + , // 1/2 * 10^73 = 5 * 10^72 + {{0x0000000000000000ULL, 0xba32821c1653f200ULL, + 0x6298d2d2c78fdda5ULL, 0x001c4c8b1349b9b5ULL} + } + , // 1/2 * 10^74 = 5 * 10^73 + {{0x0000000000000000ULL, 0x45f91518df477400ULL, + 0xd9f83c3bcb9ea879ULL, 0x011afd6ec0e14115ULL} + } + , // 1/2 * 10^75 = 5 * 10^74 + {{0x0000000000000000ULL, 0xbbbad2f8b8ca8800ULL, + 0x83b25a55f43294bcULL, 0x0b0de65388cc8adaULL} + } + , // 1/2 * 10^76 = 5 * 10^75 + {{0x0000000000000000ULL, 0x554c3db737e95000ULL, + 0x24f7875b89f9cf5fULL, 0x6e8aff4357fd6c89ULL} + } // 1/2 * 10^77 = 5 * 10^76 +}; + +// ten2k64[i] = 10^i, 0 <= i <= 19 +UINT64 ten2k64[] = { + 0x0000000000000001ULL, // 10^0 + 0x000000000000000aULL, // 10^1 + 0x0000000000000064ULL, // 10^2 + 0x00000000000003e8ULL, // 10^3 + 0x0000000000002710ULL, // 10^4 + 0x00000000000186a0ULL, // 10^5 + 0x00000000000f4240ULL, // 10^6 + 0x0000000000989680ULL, // 10^7 + 0x0000000005f5e100ULL, // 10^8 + 0x000000003b9aca00ULL, // 10^9 + 0x00000002540be400ULL, // 10^10 + 0x000000174876e800ULL, // 10^11 + 0x000000e8d4a51000ULL, // 10^12 + 0x000009184e72a000ULL, // 10^13 + 0x00005af3107a4000ULL, // 10^14 + 0x00038d7ea4c68000ULL, // 10^15 + 0x002386f26fc10000ULL, // 10^16 + 0x016345785d8a0000ULL, // 10^17 + 0x0de0b6b3a7640000ULL, // 10^18 + 0x8ac7230489e80000ULL // 10^19 (20 digits) +}; + + +// ten2k128[i - 20] = 10^i, 20 <= i <= 38 +UINT128 ten2k128[] = { // the 64-bit word order is L, H + {{0x6bc75e2d63100000ULL, 0x0000000000000005ULL} + } + , // 10^20 + {{0x35c9adc5dea00000ULL, 0x0000000000000036ULL} + } + , // 10^21 + {{0x19e0c9bab2400000ULL, 0x000000000000021eULL} + } + , // 10^22 + {{0x02c7e14af6800000ULL, 0x000000000000152dULL} + } + , // 10^23 + {{0x1bcecceda1000000ULL, 0x000000000000d3c2ULL} + } + , // 10^24 + {{0x161401484a000000ULL, 0x0000000000084595ULL} + } + , // 10^25 + {{0xdcc80cd2e4000000ULL, 0x000000000052b7d2ULL} + } + , // 10^26 + {{0x9fd0803ce8000000ULL, 0x00000000033b2e3cULL} + } + , // 10^27 + {{0x3e25026110000000ULL, 0x00000000204fce5eULL} + } + , // 10^28 + {{0x6d7217caa0000000ULL, 0x00000001431e0faeULL} + } + , // 10^29 + {{0x4674edea40000000ULL, 0x0000000c9f2c9cd0ULL} + } + , // 10^30 + {{0xc0914b2680000000ULL, 0x0000007e37be2022ULL} + } + , // 10^31 + {{0x85acef8100000000ULL, 0x000004ee2d6d415bULL} + } + , // 10^32 + {{0x38c15b0a00000000ULL, 0x0000314dc6448d93ULL} + } + , // 10^33 + {{0x378d8e6400000000ULL, 0x0001ed09bead87c0ULL} + } + , // 10^34 + {{0x2b878fe800000000ULL, 0x0013426172c74d82ULL} + } + , // 10^35 + {{0xb34b9f1000000000ULL, 0x00c097ce7bc90715ULL} + } + , // 10^36 + {{0x00f436a000000000ULL, 0x0785ee10d5da46d9ULL} + } + , // 10^37 + {{0x098a224000000000ULL, 0x4b3b4ca85a86c47aULL} + } // 10^38 (39 digits) +}; + +// might split into ten2k192[] and ten2k256[] + +// ten2k256[i - 39] = 10^i, 39 <= i <= 68 +UINT256 ten2k256[] = { // the 64-bit word order is LL, LH, HL, HH + {{0x5f65568000000000ULL, 0xf050fe938943acc4ULL, + 0x0000000000000002ULL, 0x0000000000000000ULL} + } + , // 10^39 + {{0xb9f5610000000000ULL, 0x6329f1c35ca4bfabULL, + 0x000000000000001dULL, 0x0000000000000000ULL} + } + , // 10^40 + {{0x4395ca0000000000ULL, 0xdfa371a19e6f7cb5ULL, + 0x0000000000000125ULL, 0x0000000000000000ULL} + } + , // 10^41 + {{0xa3d9e40000000000ULL, 0xbc627050305adf14ULL, + 0x0000000000000b7aULL, 0x0000000000000000ULL} + } + , // 10^42 + {{0x6682e80000000000ULL, 0x5bd86321e38cb6ceULL, + 0x00000000000072cbULL, 0x0000000000000000ULL} + } + , // 10^43 + {{0x011d100000000000ULL, 0x9673df52e37f2410ULL, + 0x0000000000047bf1ULL, 0x0000000000000000ULL} + } + , // 10^44 + {{0x0b22a00000000000ULL, 0xe086b93ce2f768a0ULL, + 0x00000000002cd76fULL, 0x0000000000000000ULL} + } + , // 10^45 + {{0x6f5a400000000000ULL, 0xc5433c60ddaa1640ULL, + 0x0000000001c06a5eULL, 0x0000000000000000ULL} + } + , // 10^46 + {{0x5986800000000000ULL, 0xb4a05bc8a8a4de84ULL, + 0x00000000118427b3ULL, 0x0000000000000000ULL} + } + , // 10^47 + {{0x7f41000000000000ULL, 0x0e4395d69670b12bULL, + 0x00000000af298d05ULL, 0x0000000000000000ULL} + } + , // 10^48 + {{0xf88a000000000000ULL, 0x8ea3da61e066ebb2ULL, + 0x00000006d79f8232ULL, 0x0000000000000000ULL} + } + , // 10^49 + {{0xb564000000000000ULL, 0x926687d2c40534fdULL, + 0x000000446c3b15f9ULL, 0x0000000000000000ULL} + } + , // 10^50 + {{0x15e8000000000000ULL, 0xb8014e3ba83411e9ULL, + 0x000002ac3a4edbbfULL, 0x0000000000000000ULL} + } + , // 10^51 + {{0xdb10000000000000ULL, 0x300d0e549208b31aULL, + 0x00001aba4714957dULL, 0x0000000000000000ULL} + } + , // 10^52 + {{0x8ea0000000000000ULL, 0xe0828f4db456ff0cULL, + 0x00010b46c6cdd6e3ULL, 0x0000000000000000ULL} + } + , // 10^53 + {{0x9240000000000000ULL, 0xc51999090b65f67dULL, + 0x000a70c3c40a64e6ULL, 0x0000000000000000ULL} + } + , // 10^54 + {{0xb680000000000000ULL, 0xb2fffa5a71fba0e7ULL, + 0x006867a5a867f103ULL, 0x0000000000000000ULL} + } + , // 10^55 + {{0x2100000000000000ULL, 0xfdffc78873d4490dULL, + 0x04140c78940f6a24ULL, 0x0000000000000000ULL} + } + , // 10^56 + {{0x4a00000000000000ULL, 0xebfdcb54864ada83ULL, + 0x28c87cb5c89a2571ULL, 0x0000000000000000ULL} + } + , // 10^57 (58 digits) + {{0xe400000000000000ULL, 0x37e9f14d3eec8920ULL, + 0x97d4df19d6057673ULL, 0x0000000000000001ULL} + } + , // 10^58 + {{0xe800000000000000ULL, 0x2f236d04753d5b48ULL, + 0xee50b7025c36a080ULL, 0x000000000000000fULL} + } + , // 10^59 + {{0x1000000000000000ULL, 0xd762422c946590d9ULL, + 0x4f2726179a224501ULL, 0x000000000000009fULL} + } + , // 10^60 + {{0xa000000000000000ULL, 0x69d695bdcbf7a87aULL, + 0x17877cec0556b212ULL, 0x0000000000000639ULL} + } + , // 10^61 + {{0x4000000000000000ULL, 0x2261d969f7ac94caULL, + 0xeb4ae1383562f4b8ULL, 0x0000000000003e3aULL} + } + , // 10^62 + {{0x8000000000000000ULL, 0x57d27e23acbdcfe6ULL, + 0x30eccc3215dd8f31ULL, 0x0000000000026e4dULL} + } + , // 10^63 + {{0x0000000000000000ULL, 0x6e38ed64bf6a1f01ULL, + 0xe93ff9f4daa797edULL, 0x0000000000184f03ULL} + } + , // 10^64 + {{0x0000000000000000ULL, 0x4e3945ef7a25360aULL, + 0x1c7fc3908a8bef46ULL, 0x0000000000f31627ULL} + } + , // 10^65 + {{0x0000000000000000ULL, 0x0e3cbb5ac5741c64ULL, + 0x1cfda3a5697758bfULL, 0x00000000097edd87ULL} + } + , // 10^66 + {{0x0000000000000000ULL, 0x8e5f518bb6891be8ULL, + 0x21e864761ea97776ULL, 0x000000005ef4a747ULL} + } + , // 10^67 + {{0x0000000000000000ULL, 0x8fb92f75215b1710ULL, + 0x5313ec9d329eaaa1ULL, 0x00000003b58e88c7ULL} + } + , // 10^68 + {{0x0000000000000000ULL, 0x9d3bda934d8ee6a0ULL, + 0x3ec73e23fa32aa4fULL, 0x00000025179157c9ULL} + } + , // 10^69 + {{0x0000000000000000ULL, 0x245689c107950240ULL, + 0x73c86d67c5faa71cULL, 0x00000172ebad6ddcULL} + } + , // 10^70 + {{0x0000000000000000ULL, 0x6b61618a4bd21680ULL, + 0x85d4460dbbca8719ULL, 0x00000e7d34c64a9cULL} + } + , // 10^71 + {{0x0000000000000000ULL, 0x31cdcf66f634e100ULL, + 0x3a4abc8955e946feULL, 0x000090e40fbeea1dULL} + } + , // 10^72 + {{0x0000000000000000ULL, 0xf20a1a059e10ca00ULL, + 0x46eb5d5d5b1cc5edULL, 0x0005a8e89d752524ULL} + } + , // 10^73 + {{0x0000000000000000ULL, 0x746504382ca7e400ULL, + 0xc531a5a58f1fbb4bULL, 0x003899162693736aULL} + } + , // 10^74 + {{0x0000000000000000ULL, 0x8bf22a31be8ee800ULL, + 0xb3f07877973d50f2ULL, 0x0235fadd81c2822bULL} + } + , // 10^75 + {{0x0000000000000000ULL, 0x7775a5f171951000ULL, + 0x0764b4abe8652979ULL, 0x161bcca7119915b5ULL} + } + , // 10^76 + {{0x0000000000000000ULL, 0xaa987b6e6fd2a000ULL, + 0x49ef0eb713f39ebeULL, 0xdd15fe86affad912ULL} + } // 10^77 +}; + +// ten2mk128[k - 1] = 10^(-k) * 2^exp (k), where 1 <= k <= 34 and +// exp (k) = shiftright128[k - 1] + 128 +UINT128 ten2mk128[] = { + {{0x999999999999999aULL, 0x1999999999999999ULL} + } + , // 10^(-1) * 2^128 + {{0x28f5c28f5c28f5c3ULL, 0x028f5c28f5c28f5cULL} + } + , // 10^(-2) * 2^128 + {{0x9db22d0e56041894ULL, 0x004189374bc6a7efULL} + } + , // 10^(-3) * 2^128 + {{0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL} + } + , // 10^(-4) * 2^131 + {{0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL} + } + , // 10^(-5) * 2^134 + {{0x6d698fe69270b06dULL, 0x00218def416bdb1aULL} + } + , // 10^(-6) * 2^137 + {{0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL} + } + , // 10^(-7) * 2^141 + {{0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL} + } + , // 10^(-8) * 2^144 + {{0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL} + } + , // 10^(-9) * 2^147 + {{0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL} + } + , // 10^(-10) * 2^151 + {{0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL} + } + , // 10^(-11) * 2^154 + {{0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL} + } + , // 10^(-12) * 2^157 + {{0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL} + } + , // 10^(-13) * 2^161 + {{0x03d4e1213067bce4ULL, 0x002d09370d425736ULL} + } + , // 10^(-14) * 2^164 + {{0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL} + } + , // 10^(-15) * 2^167 + {{0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL} + } + , // 10^(-16) * 2^171 + {{0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL} + } + , // 10^(-17) * 2^174 + {{0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL} + } + , // 10^(-18) * 2^177 + {{0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL} + } + , // 10^(-19) * 2^181 + {{0xbaa23d2ec729af3eULL, 0x002f394219248446ULL} + } + , // 10^(-20) * 2^184 + {{0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL} + } + , // 10^(-21) * 2^187 + {{0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL} + } + , // 10^(-22) * 2^191 + {{0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL} + } + , // 10^(-23) * 2^194 + {{0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL} + } + , // 10^(-24) * 2^197 + {{0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL} + } + , // 10^(-25) * 2^201 + {{0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL} + } + , // 10^(-26) * 2^204 + {{0x921dd7a89933d54eULL, 0x00279d346de4781fULL} + } + , // 10^(-27) * 2^207 + {{0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL} + } + , // 10^(-28) * 2^211 + {{0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL} + } + , // 10^(-29) * 2^214 + {{0x0c684960de6a5341ULL, 0x00289097fdd7853fULL} + } + , // 10^(-30) * 2^217 + {{0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL} + } + , // 10^(-31) * 2^220 + {{0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL} + } + , // 10^(-32) * 2^224 + {{0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL} + } + , // 10^(-33) * 2^227 + {{0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL} + } + , // 10^(-34) * 2^230 +}; + + +// shiftright128[] contains the right shift count to obtain C2* from the top +// 128 bits of the 128x128-bit product C2 * Kx +int shiftright128[] = { + 0, // 128 - 128 + 0, // 128 - 128 + 0, // 128 - 128 + + 3, // 131 - 128 + 6, // 134 - 128 + 9, // 137 - 128 + 13, // 141 - 128 + 16, // 144 - 128 + 19, // 147 - 128 + 23, // 151 - 128 + 26, // 154 - 128 + 29, // 157 - 128 + 33, // 161 - 128 + 36, // 164 - 128 + 39, // 167 - 128 + 43, // 171 - 128 + 46, // 174 - 128 + 49, // 177 - 128 + 53, // 181 - 128 + 56, // 184 - 128 + 59, // 187 - 128 + 63, // 191 - 128 + + 66, // 194 - 128 + 69, // 197 - 128 + 73, // 201 - 128 + 76, // 204 - 128 + 79, // 207 - 128 + 83, // 211 - 128 + 86, // 214 - 128 + 89, // 217 - 128 + 92, // 220 - 128 + 96, // 224 - 128 + 99, // 227 - 128 + 102 // 230 - 128 +}; + + +// maskhigh128[] contains the mask to apply to the top 128 bits of the +// 128x128-bit product in order to obtain the high bits of f2* +// the 64-bit word order is L, H +UINT64 maskhigh128[] = { + 0x0000000000000000ULL, // 0 = 128 - 128 bits + 0x0000000000000000ULL, // 0 = 128 - 128 bits + 0x0000000000000000ULL, // 0 = 128 - 128 bits + 0x0000000000000007ULL, // 3 = 131 - 128 bits + 0x000000000000003fULL, // 6 = 134 - 128 bits + 0x00000000000001ffULL, // 9 = 137 - 128 bits + 0x0000000000001fffULL, // 13 = 141 - 128 bits + 0x000000000000ffffULL, // 16 = 144 - 128 bits + 0x000000000007ffffULL, // 19 = 147 - 128 bits + 0x00000000007fffffULL, // 23 = 151 - 128 bits + 0x0000000003ffffffULL, // 26 = 154 - 128 bits + 0x000000001fffffffULL, // 29 = 157 - 128 bits + 0x00000001ffffffffULL, // 33 = 161 - 128 bits + 0x0000000fffffffffULL, // 36 = 164 - 128 bits + 0x0000007fffffffffULL, // 39 = 167 - 128 bits + 0x000007ffffffffffULL, // 43 = 171 - 128 bits + 0x00003fffffffffffULL, // 46 = 174 - 128 bits + 0x0001ffffffffffffULL, // 49 = 177 - 128 bits + 0x001fffffffffffffULL, // 53 = 181 - 128 bits + 0x00ffffffffffffffULL, // 56 = 184 - 128 bits + 0x07ffffffffffffffULL, // 59 = 187 - 128 bits + 0x7fffffffffffffffULL, // 63 = 191 - 128 bits + 0x0000000000000003ULL, // 2 = 194 - 192 bits + 0x000000000000001fULL, // 5 = 197 - 192 bits + 0x00000000000001ffULL, // 9 = 201 - 192 bits + 0x0000000000000fffULL, // 12 = 204 - 192 bits + 0x0000000000007fffULL, // 15 = 207 - 192 bits + 0x000000000007ffffULL, // 21 = 211 - 192 bits + 0x00000000003fffffULL, // 22 = 214 - 192 bits + 0x0000000001ffffffULL, // 25 = 217 - 192 bits + 0x000000000fffffffULL, // 28 = 220 - 192 bits + 0x00000000ffffffffULL, // 32 = 224 - 192 bits + 0x00000007ffffffffULL, // 35 = 227 - 192 bits + 0x0000003fffffffffULL // 38 = 230 - 192 bits +}; + + +// onehalf128[] contains the high bits of 1/2 positioned correctly for +// comparison with the high bits of f2* +// the 64-bit word order is L, H +UINT64 onehalf128[] = { + 0x0000000000000000ULL, // 0 bits + 0x0000000000000000ULL, // 0 bits + 0x0000000000000000ULL, // 0 bits + 0x0000000000000004ULL, // 3 bits + 0x0000000000000020ULL, // 6 bits + 0x0000000000000100ULL, // 9 bits + 0x0000000000001000ULL, // 13 bits + 0x0000000000008000ULL, // 16 bits + 0x0000000000040000ULL, // 19 bits + 0x0000000000400000ULL, // 23 bits + 0x0000000002000000ULL, // 26 bits + 0x0000000010000000ULL, // 29 bits + 0x0000000100000000ULL, // 33 bits + 0x0000000800000000ULL, // 36 bits + 0x0000004000000000ULL, // 39 bits + 0x0000040000000000ULL, // 43 bits + 0x0000200000000000ULL, // 46 bits + 0x0001000000000000ULL, // 49 bits + 0x0010000000000000ULL, // 53 bits + 0x0080000000000000ULL, // 56 bits + 0x0400000000000000ULL, // 59 bits + 0x4000000000000000ULL, // 63 bits + 0x0000000000000002ULL, // 66 bits + 0x0000000000000010ULL, // 69 bits + 0x0000000000000100ULL, // 73 bits + 0x0000000000000800ULL, // 76 bits + 0x0000000000004000ULL, // 79 bits + 0x0000000000040000ULL, // 83 bits + 0x0000000000200000ULL, // 86 bits + 0x0000000001000000ULL, // 89 bits + 0x0000000008000000ULL, // 92 bits + 0x0000000080000000ULL, // 96 bits + 0x0000000400000000ULL, // 99 bits + 0x0000002000000000ULL // 102 bits +}; + +UINT64 ten2mk64[] = { + 0x199999999999999aULL, // 10^(-1) * 2^ 64 + 0x028f5c28f5c28f5dULL, // 10^(-2) * 2^ 64 + 0x004189374bc6a7f0ULL, // 10^(-3) * 2^ 64 + 0x00346dc5d638865aULL, // 10^(-4) * 2^ 67 + 0x0029f16b11c6d1e2ULL, // 10^(-5) * 2^ 70 + 0x00218def416bdb1bULL, // 10^(-6) * 2^ 73 + 0x0035afe535795e91ULL, // 10^(-7) * 2^ 77 + 0x002af31dc4611874ULL, // 10^(-8) * 2^ 80 + 0x00225c17d04dad2aULL, // 10^(-9) * 2^ 83 + 0x0036f9bfb3af7b76ULL, // 10^(-10) * 2^ 87 + 0x002bfaffc2f2c92bULL, // 10^(-11) * 2^ 90 + 0x00232f33025bd423ULL, // 10^(-12) * 2^ 93 + 0x00384b84d092ed04ULL, // 10^(-13) * 2^ 97 + 0x002d09370d425737ULL, // 10^(-14) * 2^100 + 0x0024075f3dceac2cULL, // 10^(-15) * 2^103 + 0x0039a5652fb11379ULL, // 10^(-16) * 2^107 +}; + +// ten2mk128trunc[] contains T*, the top Ex >= 128 bits of 10^(-k), +// for 1 <= k <= 34 +// the 64-bit word order is L, H +UINT128 ten2mk128trunc[] = { + {{0x9999999999999999ULL, 0x1999999999999999ULL}}, // 10^(-1) * 2^128 + {{0x28f5c28f5c28f5c2ULL, 0x028f5c28f5c28f5cULL}}, // 10^(-2) * 2^128 + {{0x9db22d0e56041893ULL, 0x004189374bc6a7efULL}}, // 10^(-3) * 2^128 + {{0x4af4f0d844d013a9ULL, 0x00346dc5d6388659ULL}}, // 10^(-4) * 2^131 + {{0x08c3f3e0370cdc87ULL, 0x0029f16b11c6d1e1ULL}}, // 10^(-5) * 2^134 + {{0x6d698fe69270b06cULL, 0x00218def416bdb1aULL}}, // 10^(-6) * 2^137 + {{0xaf0f4ca41d811a46ULL, 0x0035afe535795e90ULL}}, // 10^(-7) * 2^141 + {{0xbf3f70834acdae9fULL, 0x002af31dc4611873ULL}}, // 10^(-8) * 2^144 + {{0x65cc5a02a23e254cULL, 0x00225c17d04dad29ULL}}, // 10^(-9) * 2^147 + {{0x6fad5cd10396a213ULL, 0x0036f9bfb3af7b75ULL}}, // 10^(-10) * 2^151 + {{0xbfbde3da69454e75ULL, 0x002bfaffc2f2c92aULL}}, // 10^(-11) * 2^154 + {{0x32fe4fe1edd10b91ULL, 0x00232f33025bd422ULL}}, // 10^(-12) * 2^157 + {{0x84ca19697c81ac1bULL, 0x00384b84d092ed03ULL}}, // 10^(-13) * 2^161 + {{0x03d4e1213067bce3ULL, 0x002d09370d425736ULL}}, // 10^(-14) * 2^164 + {{0x3643e74dc052fd82ULL, 0x0024075f3dceac2bULL}}, // 10^(-15) * 2^167 + {{0x56d30baf9a1e626aULL, 0x0039a5652fb11378ULL}}, // 10^(-16) * 2^171 + {{0x12426fbfae7eb521ULL, 0x002e1dea8c8da92dULL}}, // 10^(-17) * 2^174 + {{0x41cebfcc8b9890e7ULL, 0x0024e4bba3a48757ULL}}, // 10^(-18) * 2^177 + {{0x694acc7a78f41b0cULL, 0x003b07929f6da558ULL}}, // 10^(-19) * 2^181 + {{0xbaa23d2ec729af3dULL, 0x002f394219248446ULL}}, // 10^(-20) * 2^184 + {{0xfbb4fdbf05baf297ULL, 0x0025c768141d369eULL}}, // 10^(-21) * 2^187 + {{0x2c54c931a2c4b758ULL, 0x003c7240202ebdcbULL}}, // 10^(-22) * 2^191 + {{0x89dd6dc14f03c5e0ULL, 0x00305b66802564a2ULL}}, // 10^(-23) * 2^194 + {{0xd4b1249aa59c9e4dULL, 0x0026af8533511d4eULL}}, // 10^(-24) * 2^197 + {{0x544ea0f76f60fd48ULL, 0x003de5a1ebb4fbb1ULL}}, // 10^(-25) * 2^201 + {{0x76a54d92bf80caa0ULL, 0x00318481895d9627ULL}}, // 10^(-26) * 2^204 + {{0x921dd7a89933d54dULL, 0x00279d346de4781fULL}}, // 10^(-27) * 2^207 + {{0x8362f2a75b862214ULL, 0x003f61ed7ca0c032ULL}}, // 10^(-28) * 2^211 + {{0xcf825bb91604e810ULL, 0x0032b4bdfd4d668eULL}}, // 10^(-29) * 2^214 + {{0x0c684960de6a5340ULL, 0x00289097fdd7853fULL}}, // 10^(-30) * 2^217 + {{0x3d203ab3e521dc33ULL, 0x002073accb12d0ffULL}}, // 10^(-31) * 2^220 + {{0x2e99f7863b696052ULL, 0x0033ec47ab514e65ULL}}, // 10^(-32) * 2^224 + {{0x587b2c6b62bab375ULL, 0x002989d2ef743eb7ULL}}, // 10^(-33) * 2^227 + {{0xad2f56bc4efbc2c4ULL, 0x00213b0f25f69892ULL}}, // 10^(-34) * 2^230 +}; + +// ten2mk128M[k - 1] = 10^(-k) * 2^exp (k), where 1 <= k <= 4 and +// exp (k) = shiftright128[k - 1] + 128 +// the 64-bit word order is L, H +UINT128 ten2mk128M[] = { + {{0xcccccccccccccccdULL, 0xccccccccccccccccULL}}, // 10^(-1) * 2^131 + {{0x3d70a3d70a3d70a4ULL, 0xa3d70a3d70a3d70aULL}}, // 10^(-2) * 2^134 + {{0x645a1cac083126eaULL, 0x83126e978d4fdf3bULL}}, // 10^(-3) * 2^137 + {{0xd3c36113404ea4a9ULL, 0xd1b71758e219652bULL}} // 10^(-4) * 2^141 +}; + +// ten2mk128truncM[] contains T*, the top Ex >= 128 bits of 10^(-k), +// for 1 <= k <= 4; the top bits which are 0 are not represented +// the 64-bit word order is L, H +UINT128 ten2mk128truncM[] = { + {{0xccccccccccccccccULL, 0xccccccccccccccccULL}}, // 10^(-1) * 2^131 + {{0x3d70a3d70a3d70a3ULL, 0xa3d70a3d70a3d70aULL}}, // 10^(-2) * 2^134 + {{0x645a1cac083126e9ULL, 0x83126e978d4fdf3bULL}}, // 10^(-3) * 2^137 + {{0xd3c36113404ea4a8ULL, 0xd1b71758e219652bULL}} // 10^(-4) * 2^141 +}; + +// shiftright128M[] contains the right shift count to obtain C2* from the top +// 128 bits of the 128x128-bit product C2 * Kx +int shiftright128M[] = { + 3, // 131 - 128 + 6, // 134 - 128 + 9, // 137 - 128 + 13 // 141 - 128 +}; + +// maskhigh128M[] contains the mask to apply to the top 128 bits of the +// 128x128-bit product in order to obtain the high bits of f* +// the high 64 bits of the mask are 0, so only the low 64 bits are represented +UINT64 maskhigh128M[] = { + 0x0000000000000007ULL, // 3 = 131 - 128 bits + 0x000000000000003fULL, // 6 = 134 - 128 bits + 0x00000000000001ffULL, // 9 = 137 - 128 bits + 0x0000000000001fffULL // 13 = 141 - 128 bits +}; + +// onehalf128M[] contains 1/2 positioned correctly for +// comparison with the high bits of f* +// the high 64 bits are 0, so only the low 64 bits are represented +UINT64 onehalf128M[] = { + 0x0000000000000004ULL, // 3 bits + 0x0000000000000020ULL, // 6 bits + 0x0000000000000100ULL, // 9 bits + 0x0000000000001000ULL // 13 bits +}; + +// ten2mk192M[k - 1] = 10^(-k-4) * 2^exp (k), where 1 <= k <= 19 and +// exp (k) = shiftright128[k - 1] + 128 +// the 64-bit word order is L, M, H +UINT192 ten2mk192M[] = { + {{0xcddd6e04c0592104ULL, 0x0fcf80dc33721d53ULL, + 0xa7c5ac471b478423ULL}}, + // 10^(-5) * 2^208 + {{0xd7e45803cd141a6aULL, 0xa63f9a49c2c1b10fULL, + 0x8637bd05af6c69b5ULL}}, + // 10^(-6) * 2^211 + {{0x8ca08cd2e1b9c3dcULL, 0x3d32907604691b4cULL, + 0xd6bf94d5e57a42bcULL}}, + // 10^(-7) * 2^215 + {{0x3d4d3d758161697dULL, 0xfdc20d2b36ba7c3dULL, + 0xabcc77118461cefcULL}}, + // 10^(-8) * 2^218 + {{0xfdd7645e011abacaULL, 0x31680a88f8953030ULL, + 0x89705f4136b4a597ULL}}, + // 10^(-9) * 2^221 + {{0x2fbf06fcce912addULL, 0xb573440e5a884d1bULL, + 0xdbe6fecebdedd5beULL}}, + // 10^(-10) * 2^225 + {{0xf2ff38ca3eda88b1ULL, 0xf78f69a51539d748ULL, + 0xafebff0bcb24aafeULL}}, + // 10^(-11) * 2^228 + {{0xf598fa3b657ba08eULL, 0xf93f87b7442e45d3ULL, + 0x8cbccc096f5088cbULL}}, + // 10^(-12) * 2^231 + {{0x88f4c3923bf900e3ULL, 0x2865a5f206b06fb9ULL, + 0xe12e13424bb40e13ULL}}, + // 10^(-13) * 2^235 + {{0x6d909c74fcc733e9ULL, 0x538484c19ef38c94ULL, + 0xb424dc35095cd80fULL}}, + // 10^(-14) * 2^238 + {{0x57a6e390ca38f654ULL, 0x0f9d37014bf60a10ULL, + 0x901d7cf73ab0acd9ULL}}, + // 10^(-15) * 2^241 + {{0xbf716c1add27f086ULL, 0x4c2ebe687989a9b3ULL, + 0xe69594bec44de15bULL}}, + // 10^(-16) * 2^245 + {{0xff8df0157db98d38ULL, 0x09befeb9fad487c2ULL, + 0xb877aa3236a4b449ULL}}, + // 10^(-17) * 2^248 + {{0x32d7f344649470faULL, 0x3aff322e62439fcfULL, + 0x9392ee8e921d5d07ULL}}, + // 10^(-18) * 2^251 + {{0x1e2652070753e7f5ULL, 0x2b31e9e3d06c32e5ULL, + 0xec1e4a7db69561a5ULL}}, + // 10^(-19) * 2^255 + {{0x181ea8059f76532bULL, 0x88f4bb1ca6bcf584ULL, + 0xbce5086492111aeaULL}}, + // 10^(-20) * 2^258 + {{0x467eecd14c5ea8efULL, 0xd3f6fc16ebca5e03ULL, + 0x971da05074da7beeULL}}, + // 10^(-21) * 2^261 + {{0x70cb148213caa7e5ULL, 0x5324c68b12dd6338ULL, + 0xf1c90080baf72cb1ULL}}, + // 10^(-22) * 2^265 + {{0x8d6f439b43088651ULL, 0x75b7053c0f178293ULL, 0xc16d9a0095928a27ULL}} + // 10^(-23) * 2^268 +}; + +// ten2mk192truncM[] contains T*, the top Ex >= 192 bits of 10^(-k), +// for 5 <= k <= 23; the top bits which are 0 are not represented +// the 64-bit word order is L, M, H +UINT192 ten2mk192truncM[] = { + {{0xcddd6e04c0592103ULL, 0x0fcf80dc33721d53ULL, + 0xa7c5ac471b478423ULL}}, + // 10^(-5) * 2^208 + {{0xd7e45803cd141a69ULL, 0xa63f9a49c2c1b10fULL, + 0x8637bd05af6c69b5ULL}}, + // 10^(-6) * 2^211 + {{0x8ca08cd2e1b9c3dbULL, 0x3d32907604691b4cULL, + 0xd6bf94d5e57a42bcULL}}, + // 10^(-7) * 2^215 + {{0x3d4d3d758161697cULL, 0xfdc20d2b36ba7c3dULL, + 0xabcc77118461cefcULL}}, + // 10^(-8) * 2^218 + {{0xfdd7645e011abac9ULL, 0x31680a88f8953030ULL, + 0x89705f4136b4a597ULL}}, + // 10^(-9) * 2^221 + {{0x2fbf06fcce912adcULL, 0xb573440e5a884d1bULL, + 0xdbe6fecebdedd5beULL}}, + // 10^(-10) * 2^225 + {{0xf2ff38ca3eda88b0ULL, 0xf78f69a51539d748ULL, + 0xafebff0bcb24aafeULL}}, + // 10^(-11) * 2^228 + {{0xf598fa3b657ba08dULL, 0xf93f87b7442e45d3ULL, + 0x8cbccc096f5088cbULL}}, + // 10^(-12) * 2^231 + {{0x88f4c3923bf900e2ULL, 0x2865a5f206b06fb9ULL, + 0xe12e13424bb40e13ULL}}, + // 10^(-13) * 2^235 + {{0x6d909c74fcc733e8ULL, 0x538484c19ef38c94ULL, + 0xb424dc35095cd80fULL}}, + // 10^(-14) * 2^238 + {{0x57a6e390ca38f653ULL, 0x0f9d37014bf60a10ULL, + 0x901d7cf73ab0acd9ULL}}, + // 10^(-15) * 2^241 + {{0xbf716c1add27f085ULL, 0x4c2ebe687989a9b3ULL, + 0xe69594bec44de15bULL}}, + // 10^(-16) * 2^245 + {{0xff8df0157db98d37ULL, 0x09befeb9fad487c2ULL, + 0xb877aa3236a4b449ULL}}, + // 10^(-17) * 2^248 + {{0x32d7f344649470f9ULL, 0x3aff322e62439fcfULL, + 0x9392ee8e921d5d07ULL}}, + // 10^(-18) * 2^251 + {{0x1e2652070753e7f4ULL, 0x2b31e9e3d06c32e5ULL, + 0xec1e4a7db69561a5ULL}}, + // 10^(-19) * 2^255 + {{0x181ea8059f76532aULL, 0x88f4bb1ca6bcf584ULL, + 0xbce5086492111aeaULL}}, + // 10^(-20) * 2^258 + {{0x467eecd14c5ea8eeULL, 0xd3f6fc16ebca5e03ULL, + 0x971da05074da7beeULL}}, + // 10^(-21) * 2^261 + {{0x70cb148213caa7e4ULL, 0x5324c68b12dd6338ULL, + 0xf1c90080baf72cb1ULL}}, + // 10^(-22) * 2^265 + {{0x8d6f439b43088650ULL, 0x75b7053c0f178293ULL, 0xc16d9a0095928a27ULL}} + // 10^(-23) * 2^268 +}; + +// shiftright192M[] contains the right shift count to obtain C2* from the top +// 192 bits of the 192x192-bit product C2 * Kx if 0 <= ind <= 14 where ind is +// the index in the table, or from the top 128 bits if 15 <= ind <= 18 +int shiftright192M[] = { + 16, // 208 - 192 + 19, // 211 - 192 + 23, // 215 - 192 + 26, // 218 - 192 + 29, // 221 - 192 + 33, // 225 - 192 + 36, // 228 - 192 + 39, // 231 - 192 + 43, // 235 - 192 + 46, // 238 - 192 + 49, // 241 - 192 + 53, // 245 - 192 + 56, // 248 - 192 + 59, // 251 - 192 + 63, // 255 - 192 + 2, // 258 - 256 + 5, // 261 - 256 + 9, // 265 - 256 + 12 // 268 - 256 +}; + +// maskhigh192M[] contains the mask to apply to the top 192 bits of the +// 192x192-bit product in order to obtain the high bits of f* +// if 0 <= ind <= 14 where ind is the index in the table, then the high 128 bits +// of the 384-bit mask are 0; if 15 <= ind <= 18 then the high 64 bits are 0 +UINT64 maskhigh192M[] = { + 0x000000000000ffffULL, // 16 = 208 - 192 bits + 0x000000000007ffffULL, // 19 = 211 - 192 bits + 0x00000000007fffffULL, // 23 = 215 - 192 bits + 0x0000000003ffffffULL, // 26 = 218 - 192 bits + 0x000000001fffffffULL, // 29 = 221 - 192 bits + 0x00000001ffffffffULL, // 33 = 225 - 192 bits + 0x0000000fffffffffULL, // 36 = 228 - 192 bits + 0x0000007fffffffffULL, // 39 = 231 - 192 bits + 0x000007ffffffffffULL, // 43 = 235 - 192 bits + 0x00003fffffffffffULL, // 46 = 238 - 192 bits + 0x0001ffffffffffffULL, // 49 = 241 - 192 bits + 0x001fffffffffffffULL, // 53 = 245 - 192 bits + 0x00ffffffffffffffULL, // 56 = 248 - 192 bits + 0x07ffffffffffffffULL, // 59 = 251 - 192 bits + 0x7fffffffffffffffULL, // 63 = 255 - 192 bits + 0x0000000000000003ULL, // 2 = 258 - 256 bits + 0x000000000000001fULL, // 5 = 261 - 256 bits + 0x00000000000001ffULL, // 9 = 265 - 256 bits + 0x0000000000000fffULL // 12 = 268 - 256 bits +}; + +// onehalf192M[] contains 1/2 positioned correctly for +// comparison with the high bits of f* +// if 0 <= ind <= 14 where ind is the index in the table, then the high 128 bits +// of the 384-bit mask are 0; if 15 <= ind <= 18 then the high 648 bits are 0 +UINT64 onehalf192M[] = { + 0x0000000000008000ULL, // 16 = 208 - 192 bits + 0x0000000000040000ULL, // 19 = 211 - 192 bits + 0x0000000000400000ULL, // 23 = 215 - 192 bits + 0x0000000002000000ULL, // 26 = 218 - 192 bits + 0x0000000010000000ULL, // 29 = 221 - 192 bits + 0x0000000100000000ULL, // 33 = 225 - 192 bits + 0x0000000800000000ULL, // 36 = 228 - 192 bits + 0x0000004000000000ULL, // 39 = 231 - 192 bits + 0x0000040000000000ULL, // 43 = 235 - 192 bits + 0x0000200000000000ULL, // 46 = 238 - 192 bits + 0x0001000000000000ULL, // 49 = 241 - 192 bits + 0x0010000000000000ULL, // 53 = 245 - 192 bits + 0x0080000000000000ULL, // 56 = 248 - 192 bits + 0x0400000000000000ULL, // 59 = 251 - 192 bits + 0x4000000000000000ULL, // 63 = 255 - 192 bits + 0x0000000000000002ULL, // 2 = 258 - 256 bits + 0x0000000000000010ULL, // 5 = 261 - 256 bits + 0x0000000000000100ULL, // 9 = 265 - 256 bits + 0x0000000000000800ULL // 12 = 268 - 256 bits +}; + +// ten2mk256M[k - 1] = 10^(-k-23) * 2^exp (k), where 1 <= k <= 11 and +// exp (k) = shiftright128[k - 1] + 128 +UINT256 ten2mk256M[] = { // the 64-bit word order is LL, LH, HL, HH + {{0xf23472530ce6e3edULL, 0xd78c3615cf3a050cULL, + 0xc4926a9672793542ULL, 0x9abe14cd44753b52ULL}}, // 10^(-24) * 2^335 + {{0xe9ed83b814a49fe1ULL, 0x8c1389bc7ec33b47ULL, + 0x3a83ddbd83f52204ULL, 0xf79687aed3eec551ULL}}, // 10^(-25) * 2^339 + {{0x87f1362cdd507fe7ULL, 0x3cdc6e306568fc39ULL, + 0x95364afe032a819dULL, 0xc612062576589ddaULL}}, // 10^(-26) * 2^342 + {{0x9ff42b5717739986ULL, 0xca49f1c05120c9c7ULL, + 0x775ea264cf55347dULL, 0x9e74d1b791e07e48ULL}}, // 10^(-27) * 2^345 + {{0xccb9def1bf1f5c09ULL, 0x76dcb60081ce0fa5ULL, + 0x8bca9d6e188853fcULL, 0xfd87b5f28300ca0dULL}}, // 10^(-28) * 2^349 + {{0xa3c7e58e327f7cd4ULL, 0x5f16f80067d80c84ULL, + 0x096ee45813a04330ULL, 0xcad2f7f5359a3b3eULL}}, // 10^(-29) * 2^352 + {{0xb6398471c1ff9710ULL, 0x18df2ccd1fe00a03ULL, + 0xa1258379a94d028dULL, 0xa2425ff75e14fc31ULL}}, // 10^(-30) * 2^355 + {{0xf82e038e34cc78daULL, 0x4718f0a419800802ULL, + 0x80eacf948770ced7ULL, 0x81ceb32c4b43fcf4ULL}}, // 10^(-31) * 2^358 + {{0x59e338e387ad8e29ULL, 0x0b5b1aa028ccd99eULL, + 0x67de18eda5814af2ULL, 0xcfb11ead453994baULL}}, // 10^(-32) * 2^362 + {{0x47e8fa4f9fbe0b54ULL, 0x6f7c154ced70ae18ULL, + 0xecb1ad8aeacdd58eULL, 0xa6274bbdd0fadd61ULL}}, // 10^(-33) * 2^365 + {{0xd320c83fb2fe6f76ULL, 0xbf967770bdf3be79ULL, + 0xbd5af13bef0b113eULL, 0x84ec3c97da624ab4ULL}} // 10^(-34) * 2^368 +}; + +// ten2mk256truncM[] contains T*, the top Ex >= 256 bits of 10^(-k), +// for 24 <= k <= 34; the top bits which are 0 are not represented +UINT256 ten2mk256truncM[] = { // the 64-bit word order is LL, LH, HL, HH + {{0xf23472530ce6e3ecULL, 0xd78c3615cf3a050cULL, + 0xc4926a9672793542ULL, 0x9abe14cd44753b52ULL}}, // 10^(-24) * 2^335 + {{0xe9ed83b814a49fe0ULL, 0x8c1389bc7ec33b47ULL, + 0x3a83ddbd83f52204ULL, 0xf79687aed3eec551ULL}}, // 10^(-25) * 2^339 + {{0x87f1362cdd507fe6ULL, 0x3cdc6e306568fc39ULL, + 0x95364afe032a819dULL, 0xc612062576589ddaULL}}, // 10^(-26) * 2^342 + {{0x775ea264cf55347cULL, 0x9ff42b5717739986ULL, + 0xca49f1c05120c9c7ULL, 0x9e74d1b791e07e48ULL}}, // 10^(-27) * 2^345 + {{0xccb9def1bf1f5c08ULL, 0x76dcb60081ce0fa5ULL, + 0x8bca9d6e188853fcULL, 0xfd87b5f28300ca0dULL}}, // 10^(-28) * 2^349 + {{0xa3c7e58e327f7cd3ULL, 0x5f16f80067d80c84ULL, + 0x096ee45813a04330ULL, 0xcad2f7f5359a3b3eULL}}, // 10^(-29) * 2^352 + {{0xb6398471c1ff970fULL, 0x18df2ccd1fe00a03ULL, + 0xa1258379a94d028dULL, 0xa2425ff75e14fc31ULL}}, // 10^(-30) * 2^355 + {{0xf82e038e34cc78d9ULL, 0x4718f0a419800802ULL, + 0x80eacf948770ced7ULL, 0x81ceb32c4b43fcf4ULL}}, // 10^(-31) * 2^358 + {{0x59e338e387ad8e28ULL, 0x0b5b1aa028ccd99eULL, + 0x67de18eda5814af2ULL, 0xcfb11ead453994baULL}}, // 10^(-32) * 2^362 + {{0x47e8fa4f9fbe0b53ULL, 0x6f7c154ced70ae18ULL, + 0xecb1ad8aeacdd58eULL, 0xa6274bbdd0fadd61ULL}}, // 10^(-33) * 2^365 + {{0xd320c83fb2fe6f75ULL, 0xbf967770bdf3be79ULL, + 0xbd5af13bef0b113eULL, 0x84ec3c97da624ab4ULL}} // 10^(-34) * 2^368 +}; + +// shiftright256M[] contains the right shift count to obtain C2* from the top +// 192 bits of the 256x256-bit product C2 * Kx +int shiftright256M[] = { + 15, // 335 - 320 + 19, // 339 - 320 + 22, // 342 - 320 + 25, // 345 - 320 + 29, // 349 - 320 + 32, // 352 - 320 // careful of 32-bit machines! + 35, // 355 - 320 + 38, // 358 - 320 + 42, // 362 - 320 + 45, // 365 - 320 + 48 // 368 - 320 +}; + +// maskhigh256M[] contains the mask to apply to the top 192 bits of the +// 256x256-bit product in order to obtain the high bits of f* +UINT64 maskhigh256M[] = { + 0x0000000000007fffULL, // 15 = 335 - 320 bits + 0x000000000007ffffULL, // 19 = 339 - 320 bits + 0x00000000003fffffULL, // 22 = 342 - 320 bits + 0x0000000001ffffffULL, // 25 = 345 - 320 bits + 0x000000001fffffffULL, // 29 = 349 - 320 bits + 0x00000000ffffffffULL, // 32 = 352 - 320 bits + 0x00000007ffffffffULL, // 35 = 355 - 320 bits + 0x0000003fffffffffULL, // 38 = 358 - 320 bits + 0x000003ffffffffffULL, // 42 = 362 - 320 bits + 0x00001fffffffffffULL, // 45 = 365 - 320 bits + 0x0000ffffffffffffULL // 48 = 368 - 320 bits +}; + +// onehalf256M[] contains 1/2 positioned correctly for comparison with the +// high bits of f*; the high 128 bits of the 512-bit mask are 0 +UINT64 onehalf256M[] = { + 0x0000000000004000ULL, // 15 = 335 - 320 bits + 0x0000000000040000ULL, // 19 = 339 - 320 bits + 0x0000000000200000ULL, // 22 = 342 - 320 bits + 0x0000000001000000ULL, // 25 = 345 - 320 bits + 0x0000000010000000ULL, // 29 = 349 - 320 bits + 0x0000000080000000ULL, // 32 = 352 - 320 bits + 0x0000000400000000ULL, // 35 = 355 - 320 bits + 0x0000002000000000ULL, // 38 = 358 - 320 bits + 0x0000020000000000ULL, // 42 = 362 - 320 bits + 0x0000100000000000ULL, // 45 = 365 - 320 bits + 0x0000800000000000ULL // 48 = 368 - 320 bits +}; + + +// char_table2[] is used to convert n to string, where 10 <= n <= 99 +unsigned char char_table2[180] = { + '1', '0', + '1', '1', + '1', '2', + '1', '3', + '1', '4', + '1', '5', + '1', '6', + '1', '7', + '1', '8', + '1', '9', + '2', '0', + '2', '1', + '2', '2', + '2', '3', + '2', '4', + '2', '5', + '2', '6', + '2', '7', + '2', '8', + '2', '9', + '3', '0', + '3', '1', + '3', '2', + '3', '3', + '3', '4', + '3', '5', + '3', '6', + '3', '7', + '3', '8', + '3', '9', + '4', '0', + '4', '1', + '4', '2', + '4', '3', + '4', '4', + '4', '5', + '4', '6', + '4', '7', + '4', '8', + '4', '9', + '5', '0', + '5', '1', + '5', '2', + '5', '3', + '5', '4', + '5', '5', + '5', '6', + '5', '7', + '5', '8', + '5', '9', + '6', '0', + '6', '1', + '6', '2', + '6', '3', + '6', '4', + '6', '5', + '6', '6', + '6', '7', + '6', '8', + '6', '9', + '7', '0', + '7', '1', + '7', '2', + '7', '3', + '7', '4', + '7', '5', + '7', '6', + '7', '7', + '7', '8', + '7', '9', + '8', '0', + '8', '1', + '8', '2', + '8', '3', + '8', '4', + '8', '5', + '8', '6', + '8', '7', + '8', '8', + '8', '9', + '9', '0', + '9', '1', + '9', '2', + '9', '3', + '9', '4', + '9', '5', + '9', '6', + '9', '7', + '9', '8', + '9', '9' +}; + + +// char_table3[] is used to convert n to string, where 000 <= n <= 999 +unsigned char char_table3[3000] = { + '0', '0', '0', + '0', '0', '1', + '0', '0', '2', + '0', '0', '3', + '0', '0', '4', + '0', '0', '5', + '0', '0', '6', + '0', '0', '7', + '0', '0', '8', + '0', '0', '9', + '0', '1', '0', + '0', '1', '1', + '0', '1', '2', + '0', '1', '3', + '0', '1', '4', + '0', '1', '5', + '0', '1', '6', + '0', '1', '7', + '0', '1', '8', + '0', '1', '9', + '0', '2', '0', + '0', '2', '1', + '0', '2', '2', + '0', '2', '3', + '0', '2', '4', + '0', '2', '5', + '0', '2', '6', + '0', '2', '7', + '0', '2', '8', + '0', '2', '9', + '0', '3', '0', + '0', '3', '1', + '0', '3', '2', + '0', '3', '3', + '0', '3', '4', + '0', '3', '5', + '0', '3', '6', + '0', '3', '7', + '0', '3', '8', + '0', '3', '9', + '0', '4', '0', + '0', '4', '1', + '0', '4', '2', + '0', '4', '3', + '0', '4', '4', + '0', '4', '5', + '0', '4', '6', + '0', '4', '7', + '0', '4', '8', + '0', '4', '9', + '0', '5', '0', + '0', '5', '1', + '0', '5', '2', + '0', '5', '3', + '0', '5', '4', + '0', '5', '5', + '0', '5', '6', + '0', '5', '7', + '0', '5', '8', + '0', '5', '9', + '0', '6', '0', + '0', '6', '1', + '0', '6', '2', + '0', '6', '3', + '0', '6', '4', + '0', '6', '5', + '0', '6', '6', + '0', '6', '7', + '0', '6', '8', + '0', '6', '9', + '0', '7', '0', + '0', '7', '1', + '0', '7', '2', + '0', '7', '3', + '0', '7', '4', + '0', '7', '5', + '0', '7', '6', + '0', '7', '7', + '0', '7', '8', + '0', '7', '9', + '0', '8', '0', + '0', '8', '1', + '0', '8', '2', + '0', '8', '3', + '0', '8', '4', + '0', '8', '5', + '0', '8', '6', + '0', '8', '7', + '0', '8', '8', + '0', '8', '9', + '0', '9', '0', + '0', '9', '1', + '0', '9', '2', + '0', '9', '3', + '0', '9', '4', + '0', '9', '5', + '0', '9', '6', + '0', '9', '7', + '0', '9', '8', + '0', '9', '9', + '1', '0', '0', + '1', '0', '1', + '1', '0', '2', + '1', '0', '3', + '1', '0', '4', + '1', '0', '5', + '1', '0', '6', + '1', '0', '7', + '1', '0', '8', + '1', '0', '9', + '1', '1', '0', + '1', '1', '1', + '1', '1', '2', + '1', '1', '3', + '1', '1', '4', + '1', '1', '5', + '1', '1', '6', + '1', '1', '7', + '1', '1', '8', + '1', '1', '9', + '1', '2', '0', + '1', '2', '1', + '1', '2', '2', + '1', '2', '3', + '1', '2', '4', + '1', '2', '5', + '1', '2', '6', + '1', '2', '7', + '1', '2', '8', + '1', '2', '9', + '1', '3', '0', + '1', '3', '1', + '1', '3', '2', + '1', '3', '3', + '1', '3', '4', + '1', '3', '5', + '1', '3', '6', + '1', '3', '7', + '1', '3', '8', + '1', '3', '9', + '1', '4', '0', + '1', '4', '1', + '1', '4', '2', + '1', '4', '3', + '1', '4', '4', + '1', '4', '5', + '1', '4', '6', + '1', '4', '7', + '1', '4', '8', + '1', '4', '9', + '1', '5', '0', + '1', '5', '1', + '1', '5', '2', + '1', '5', '3', + '1', '5', '4', + '1', '5', '5', + '1', '5', '6', + '1', '5', '7', + '1', '5', '8', + '1', '5', '9', + '1', '6', '0', + '1', '6', '1', + '1', '6', '2', + '1', '6', '3', + '1', '6', '4', + '1', '6', '5', + '1', '6', '6', + '1', '6', '7', + '1', '6', '8', + '1', '6', '9', + '1', '7', '0', + '1', '7', '1', + '1', '7', '2', + '1', '7', '3', + '1', '7', '4', + '1', '7', '5', + '1', '7', '6', + '1', '7', '7', + '1', '7', '8', + '1', '7', '9', + '1', '8', '0', + '1', '8', '1', + '1', '8', '2', + '1', '8', '3', + '1', '8', '4', + '1', '8', '5', + '1', '8', '6', + '1', '8', '7', + '1', '8', '8', + '1', '8', '9', + '1', '9', '0', + '1', '9', '1', + '1', '9', '2', + '1', '9', '3', + '1', '9', '4', + '1', '9', '5', + '1', '9', '6', + '1', '9', '7', + '1', '9', '8', + '1', '9', '9', + '2', '0', '0', + '2', '0', '1', + '2', '0', '2', + '2', '0', '3', + '2', '0', '4', + '2', '0', '5', + '2', '0', '6', + '2', '0', '7', + '2', '0', '8', + '2', '0', '9', + '2', '1', '0', + '2', '1', '1', + '2', '1', '2', + '2', '1', '3', + '2', '1', '4', + '2', '1', '5', + '2', '1', '6', + '2', '1', '7', + '2', '1', '8', + '2', '1', '9', + '2', '2', '0', + '2', '2', '1', + '2', '2', '2', + '2', '2', '3', + '2', '2', '4', + '2', '2', '5', + '2', '2', '6', + '2', '2', '7', + '2', '2', '8', + '2', '2', '9', + '2', '3', '0', + '2', '3', '1', + '2', '3', '2', + '2', '3', '3', + '2', '3', '4', + '2', '3', '5', + '2', '3', '6', + '2', '3', '7', + '2', '3', '8', + '2', '3', '9', + '2', '4', '0', + '2', '4', '1', + '2', '4', '2', + '2', '4', '3', + '2', '4', '4', + '2', '4', '5', + '2', '4', '6', + '2', '4', '7', + '2', '4', '8', + '2', '4', '9', + '2', '5', '0', + '2', '5', '1', + '2', '5', '2', + '2', '5', '3', + '2', '5', '4', + '2', '5', '5', + '2', '5', '6', + '2', '5', '7', + '2', '5', '8', + '2', '5', '9', + '2', '6', '0', + '2', '6', '1', + '2', '6', '2', + '2', '6', '3', + '2', '6', '4', + '2', '6', '5', + '2', '6', '6', + '2', '6', '7', + '2', '6', '8', + '2', '6', '9', + '2', '7', '0', + '2', '7', '1', + '2', '7', '2', + '2', '7', '3', + '2', '7', '4', + '2', '7', '5', + '2', '7', '6', + '2', '7', '7', + '2', '7', '8', + '2', '7', '9', + '2', '8', '0', + '2', '8', '1', + '2', '8', '2', + '2', '8', '3', + '2', '8', '4', + '2', '8', '5', + '2', '8', '6', + '2', '8', '7', + '2', '8', '8', + '2', '8', '9', + '2', '9', '0', + '2', '9', '1', + '2', '9', '2', + '2', '9', '3', + '2', '9', '4', + '2', '9', '5', + '2', '9', '6', + '2', '9', '7', + '2', '9', '8', + '2', '9', '9', + '3', '0', '0', + '3', '0', '1', + '3', '0', '2', + '3', '0', '3', + '3', '0', '4', + '3', '0', '5', + '3', '0', '6', + '3', '0', '7', + '3', '0', '8', + '3', '0', '9', + '3', '1', '0', + '3', '1', '1', + '3', '1', '2', + '3', '1', '3', + '3', '1', '4', + '3', '1', '5', + '3', '1', '6', + '3', '1', '7', + '3', '1', '8', + '3', '1', '9', + '3', '2', '0', + '3', '2', '1', + '3', '2', '2', + '3', '2', '3', + '3', '2', '4', + '3', '2', '5', + '3', '2', '6', + '3', '2', '7', + '3', '2', '8', + '3', '2', '9', + '3', '3', '0', + '3', '3', '1', + '3', '3', '2', + '3', '3', '3', + '3', '3', '4', + '3', '3', '5', + '3', '3', '6', + '3', '3', '7', + '3', '3', '8', + '3', '3', '9', + '3', '4', '0', + '3', '4', '1', + '3', '4', '2', + '3', '4', '3', + '3', '4', '4', + '3', '4', '5', + '3', '4', '6', + '3', '4', '7', + '3', '4', '8', + '3', '4', '9', + '3', '5', '0', + '3', '5', '1', + '3', '5', '2', + '3', '5', '3', + '3', '5', '4', + '3', '5', '5', + '3', '5', '6', + '3', '5', '7', + '3', '5', '8', + '3', '5', '9', + '3', '6', '0', + '3', '6', '1', + '3', '6', '2', + '3', '6', '3', + '3', '6', '4', + '3', '6', '5', + '3', '6', '6', + '3', '6', '7', + '3', '6', '8', + '3', '6', '9', + '3', '7', '0', + '3', '7', '1', + '3', '7', '2', + '3', '7', '3', + '3', '7', '4', + '3', '7', '5', + '3', '7', '6', + '3', '7', '7', + '3', '7', '8', + '3', '7', '9', + '3', '8', '0', + '3', '8', '1', + '3', '8', '2', + '3', '8', '3', + '3', '8', '4', + '3', '8', '5', + '3', '8', '6', + '3', '8', '7', + '3', '8', '8', + '3', '8', '9', + '3', '9', '0', + '3', '9', '1', + '3', '9', '2', + '3', '9', '3', + '3', '9', '4', + '3', '9', '5', + '3', '9', '6', + '3', '9', '7', + '3', '9', '8', + '3', '9', '9', + '4', '0', '0', + '4', '0', '1', + '4', '0', '2', + '4', '0', '3', + '4', '0', '4', + '4', '0', '5', + '4', '0', '6', + '4', '0', '7', + '4', '0', '8', + '4', '0', '9', + '4', '1', '0', + '4', '1', '1', + '4', '1', '2', + '4', '1', '3', + '4', '1', '4', + '4', '1', '5', + '4', '1', '6', + '4', '1', '7', + '4', '1', '8', + '4', '1', '9', + '4', '2', '0', + '4', '2', '1', + '4', '2', '2', + '4', '2', '3', + '4', '2', '4', + '4', '2', '5', + '4', '2', '6', + '4', '2', '7', + '4', '2', '8', + '4', '2', '9', + '4', '3', '0', + '4', '3', '1', + '4', '3', '2', + '4', '3', '3', + '4', '3', '4', + '4', '3', '5', + '4', '3', '6', + '4', '3', '7', + '4', '3', '8', + '4', '3', '9', + '4', '4', '0', + '4', '4', '1', + '4', '4', '2', + '4', '4', '3', + '4', '4', '4', + '4', '4', '5', + '4', '4', '6', + '4', '4', '7', + '4', '4', '8', + '4', '4', '9', + '4', '5', '0', + '4', '5', '1', + '4', '5', '2', + '4', '5', '3', + '4', '5', '4', + '4', '5', '5', + '4', '5', '6', + '4', '5', '7', + '4', '5', '8', + '4', '5', '9', + '4', '6', '0', + '4', '6', '1', + '4', '6', '2', + '4', '6', '3', + '4', '6', '4', + '4', '6', '5', + '4', '6', '6', + '4', '6', '7', + '4', '6', '8', + '4', '6', '9', + '4', '7', '0', + '4', '7', '1', + '4', '7', '2', + '4', '7', '3', + '4', '7', '4', + '4', '7', '5', + '4', '7', '6', + '4', '7', '7', + '4', '7', '8', + '4', '7', '9', + '4', '8', '0', + '4', '8', '1', + '4', '8', '2', + '4', '8', '3', + '4', '8', '4', + '4', '8', '5', + '4', '8', '6', + '4', '8', '7', + '4', '8', '8', + '4', '8', '9', + '4', '9', '0', + '4', '9', '1', + '4', '9', '2', + '4', '9', '3', + '4', '9', '4', + '4', '9', '5', + '4', '9', '6', + '4', '9', '7', + '4', '9', '8', + '4', '9', '9', + '5', '0', '0', + '5', '0', '1', + '5', '0', '2', + '5', '0', '3', + '5', '0', '4', + '5', '0', '5', + '5', '0', '6', + '5', '0', '7', + '5', '0', '8', + '5', '0', '9', + '5', '1', '0', + '5', '1', '1', + '5', '1', '2', + '5', '1', '3', + '5', '1', '4', + '5', '1', '5', + '5', '1', '6', + '5', '1', '7', + '5', '1', '8', + '5', '1', '9', + '5', '2', '0', + '5', '2', '1', + '5', '2', '2', + '5', '2', '3', + '5', '2', '4', + '5', '2', '5', + '5', '2', '6', + '5', '2', '7', + '5', '2', '8', + '5', '2', '9', + '5', '3', '0', + '5', '3', '1', + '5', '3', '2', + '5', '3', '3', + '5', '3', '4', + '5', '3', '5', + '5', '3', '6', + '5', '3', '7', + '5', '3', '8', + '5', '3', '9', + '5', '4', '0', + '5', '4', '1', + '5', '4', '2', + '5', '4', '3', + '5', '4', '4', + '5', '4', '5', + '5', '4', '6', + '5', '4', '7', + '5', '4', '8', + '5', '4', '9', + '5', '5', '0', + '5', '5', '1', + '5', '5', '2', + '5', '5', '3', + '5', '5', '4', + '5', '5', '5', + '5', '5', '6', + '5', '5', '7', + '5', '5', '8', + '5', '5', '9', + '5', '6', '0', + '5', '6', '1', + '5', '6', '2', + '5', '6', '3', + '5', '6', '4', + '5', '6', '5', + '5', '6', '6', + '5', '6', '7', + '5', '6', '8', + '5', '6', '9', + '5', '7', '0', + '5', '7', '1', + '5', '7', '2', + '5', '7', '3', + '5', '7', '4', + '5', '7', '5', + '5', '7', '6', + '5', '7', '7', + '5', '7', '8', + '5', '7', '9', + '5', '8', '0', + '5', '8', '1', + '5', '8', '2', + '5', '8', '3', + '5', '8', '4', + '5', '8', '5', + '5', '8', '6', + '5', '8', '7', + '5', '8', '8', + '5', '8', '9', + '5', '9', '0', + '5', '9', '1', + '5', '9', '2', + '5', '9', '3', + '5', '9', '4', + '5', '9', '5', + '5', '9', '6', + '5', '9', '7', + '5', '9', '8', + '5', '9', '9', + '6', '0', '0', + '6', '0', '1', + '6', '0', '2', + '6', '0', '3', + '6', '0', '4', + '6', '0', '5', + '6', '0', '6', + '6', '0', '7', + '6', '0', '8', + '6', '0', '9', + '6', '1', '0', + '6', '1', '1', + '6', '1', '2', + '6', '1', '3', + '6', '1', '4', + '6', '1', '5', + '6', '1', '6', + '6', '1', '7', + '6', '1', '8', + '6', '1', '9', + '6', '2', '0', + '6', '2', '1', + '6', '2', '2', + '6', '2', '3', + '6', '2', '4', + '6', '2', '5', + '6', '2', '6', + '6', '2', '7', + '6', '2', '8', + '6', '2', '9', + '6', '3', '0', + '6', '3', '1', + '6', '3', '2', + '6', '3', '3', + '6', '3', '4', + '6', '3', '5', + '6', '3', '6', + '6', '3', '7', + '6', '3', '8', + '6', '3', '9', + '6', '4', '0', + '6', '4', '1', + '6', '4', '2', + '6', '4', '3', + '6', '4', '4', + '6', '4', '5', + '6', '4', '6', + '6', '4', '7', + '6', '4', '8', + '6', '4', '9', + '6', '5', '0', + '6', '5', '1', + '6', '5', '2', + '6', '5', '3', + '6', '5', '4', + '6', '5', '5', + '6', '5', '6', + '6', '5', '7', + '6', '5', '8', + '6', '5', '9', + '6', '6', '0', + '6', '6', '1', + '6', '6', '2', + '6', '6', '3', + '6', '6', '4', + '6', '6', '5', + '6', '6', '6', + '6', '6', '7', + '6', '6', '8', + '6', '6', '9', + '6', '7', '0', + '6', '7', '1', + '6', '7', '2', + '6', '7', '3', + '6', '7', '4', + '6', '7', '5', + '6', '7', '6', + '6', '7', '7', + '6', '7', '8', + '6', '7', '9', + '6', '8', '0', + '6', '8', '1', + '6', '8', '2', + '6', '8', '3', + '6', '8', '4', + '6', '8', '5', + '6', '8', '6', + '6', '8', '7', + '6', '8', '8', + '6', '8', '9', + '6', '9', '0', + '6', '9', '1', + '6', '9', '2', + '6', '9', '3', + '6', '9', '4', + '6', '9', '5', + '6', '9', '6', + '6', '9', '7', + '6', '9', '8', + '6', '9', '9', + '7', '0', '0', + '7', '0', '1', + '7', '0', '2', + '7', '0', '3', + '7', '0', '4', + '7', '0', '5', + '7', '0', '6', + '7', '0', '7', + '7', '0', '8', + '7', '0', '9', + '7', '1', '0', + '7', '1', '1', + '7', '1', '2', + '7', '1', '3', + '7', '1', '4', + '7', '1', '5', + '7', '1', '6', + '7', '1', '7', + '7', '1', '8', + '7', '1', '9', + '7', '2', '0', + '7', '2', '1', + '7', '2', '2', + '7', '2', '3', + '7', '2', '4', + '7', '2', '5', + '7', '2', '6', + '7', '2', '7', + '7', '2', '8', + '7', '2', '9', + '7', '3', '0', + '7', '3', '1', + '7', '3', '2', + '7', '3', '3', + '7', '3', '4', + '7', '3', '5', + '7', '3', '6', + '7', '3', '7', + '7', '3', '8', + '7', '3', '9', + '7', '4', '0', + '7', '4', '1', + '7', '4', '2', + '7', '4', '3', + '7', '4', '4', + '7', '4', '5', + '7', '4', '6', + '7', '4', '7', + '7', '4', '8', + '7', '4', '9', + '7', '5', '0', + '7', '5', '1', + '7', '5', '2', + '7', '5', '3', + '7', '5', '4', + '7', '5', '5', + '7', '5', '6', + '7', '5', '7', + '7', '5', '8', + '7', '5', '9', + '7', '6', '0', + '7', '6', '1', + '7', '6', '2', + '7', '6', '3', + '7', '6', '4', + '7', '6', '5', + '7', '6', '6', + '7', '6', '7', + '7', '6', '8', + '7', '6', '9', + '7', '7', '0', + '7', '7', '1', + '7', '7', '2', + '7', '7', '3', + '7', '7', '4', + '7', '7', '5', + '7', '7', '6', + '7', '7', '7', + '7', '7', '8', + '7', '7', '9', + '7', '8', '0', + '7', '8', '1', + '7', '8', '2', + '7', '8', '3', + '7', '8', '4', + '7', '8', '5', + '7', '8', '6', + '7', '8', '7', + '7', '8', '8', + '7', '8', '9', + '7', '9', '0', + '7', '9', '1', + '7', '9', '2', + '7', '9', '3', + '7', '9', '4', + '7', '9', '5', + '7', '9', '6', + '7', '9', '7', + '7', '9', '8', + '7', '9', '9', + '8', '0', '0', + '8', '0', '1', + '8', '0', '2', + '8', '0', '3', + '8', '0', '4', + '8', '0', '5', + '8', '0', '6', + '8', '0', '7', + '8', '0', '8', + '8', '0', '9', + '8', '1', '0', + '8', '1', '1', + '8', '1', '2', + '8', '1', '3', + '8', '1', '4', + '8', '1', '5', + '8', '1', '6', + '8', '1', '7', + '8', '1', '8', + '8', '1', '9', + '8', '2', '0', + '8', '2', '1', + '8', '2', '2', + '8', '2', '3', + '8', '2', '4', + '8', '2', '5', + '8', '2', '6', + '8', '2', '7', + '8', '2', '8', + '8', '2', '9', + '8', '3', '0', + '8', '3', '1', + '8', '3', '2', + '8', '3', '3', + '8', '3', '4', + '8', '3', '5', + '8', '3', '6', + '8', '3', '7', + '8', '3', '8', + '8', '3', '9', + '8', '4', '0', + '8', '4', '1', + '8', '4', '2', + '8', '4', '3', + '8', '4', '4', + '8', '4', '5', + '8', '4', '6', + '8', '4', '7', + '8', '4', '8', + '8', '4', '9', + '8', '5', '0', + '8', '5', '1', + '8', '5', '2', + '8', '5', '3', + '8', '5', '4', + '8', '5', '5', + '8', '5', '6', + '8', '5', '7', + '8', '5', '8', + '8', '5', '9', + '8', '6', '0', + '8', '6', '1', + '8', '6', '2', + '8', '6', '3', + '8', '6', '4', + '8', '6', '5', + '8', '6', '6', + '8', '6', '7', + '8', '6', '8', + '8', '6', '9', + '8', '7', '0', + '8', '7', '1', + '8', '7', '2', + '8', '7', '3', + '8', '7', '4', + '8', '7', '5', + '8', '7', '6', + '8', '7', '7', + '8', '7', '8', + '8', '7', '9', + '8', '8', '0', + '8', '8', '1', + '8', '8', '2', + '8', '8', '3', + '8', '8', '4', + '8', '8', '5', + '8', '8', '6', + '8', '8', '7', + '8', '8', '8', + '8', '8', '9', + '8', '9', '0', + '8', '9', '1', + '8', '9', '2', + '8', '9', '3', + '8', '9', '4', + '8', '9', '5', + '8', '9', '6', + '8', '9', '7', + '8', '9', '8', + '8', '9', '9', + '9', '0', '0', + '9', '0', '1', + '9', '0', '2', + '9', '0', '3', + '9', '0', '4', + '9', '0', '5', + '9', '0', '6', + '9', '0', '7', + '9', '0', '8', + '9', '0', '9', + '9', '1', '0', + '9', '1', '1', + '9', '1', '2', + '9', '1', '3', + '9', '1', '4', + '9', '1', '5', + '9', '1', '6', + '9', '1', '7', + '9', '1', '8', + '9', '1', '9', + '9', '2', '0', + '9', '2', '1', + '9', '2', '2', + '9', '2', '3', + '9', '2', '4', + '9', '2', '5', + '9', '2', '6', + '9', '2', '7', + '9', '2', '8', + '9', '2', '9', + '9', '3', '0', + '9', '3', '1', + '9', '3', '2', + '9', '3', '3', + '9', '3', '4', + '9', '3', '5', + '9', '3', '6', + '9', '3', '7', + '9', '3', '8', + '9', '3', '9', + '9', '4', '0', + '9', '4', '1', + '9', '4', '2', + '9', '4', '3', + '9', '4', '4', + '9', '4', '5', + '9', '4', '6', + '9', '4', '7', + '9', '4', '8', + '9', '4', '9', + '9', '5', '0', + '9', '5', '1', + '9', '5', '2', + '9', '5', '3', + '9', '5', '4', + '9', '5', '5', + '9', '5', '6', + '9', '5', '7', + '9', '5', '8', + '9', '5', '9', + '9', '6', '0', + '9', '6', '1', + '9', '6', '2', + '9', '6', '3', + '9', '6', '4', + '9', '6', '5', + '9', '6', '6', + '9', '6', '7', + '9', '6', '8', + '9', '6', '9', + '9', '7', '0', + '9', '7', '1', + '9', '7', '2', + '9', '7', '3', + '9', '7', '4', + '9', '7', '5', + '9', '7', '6', + '9', '7', '7', + '9', '7', '8', + '9', '7', '9', + '9', '8', '0', + '9', '8', '1', + '9', '8', '2', + '9', '8', '3', + '9', '8', '4', + '9', '8', '5', + '9', '8', '6', + '9', '8', '7', + '9', '8', '8', + '9', '8', '9', + '9', '9', '0', + '9', '9', '1', + '9', '9', '2', + '9', '9', '3', + '9', '9', '4', + '9', '9', '5', + '9', '9', '6', + '9', '9', '7', + '9', '9', '8', + '9', '9', '9' +}; + +// ten2m3k64[], shift_ten2m3k64[] used for conversion from BID128 to string +UINT64 ten2m3k64[] = { + 0x4189374bc6a7ef9eull, // 4189374bc6a7ef9e * 2^-72 = (10^-3)RP,63 + 0x10c6f7a0b5ed8d37ull, // 10c6f7a0b5ed8d37 * 2^-80 = (10^-6)RP,61 + 0x44b82fa09b5a52ccull, // 44b82fa09b5a52cc * 2^-92 = (10^-9)RP,63 + 0x119799812dea111aull, // 119799812dea111a * 2^-100 = (10^-12)RP,61 + 0x480ebe7b9d58566dull // 480ebe7b9d58566d * 2^-112 = (10^-15)RP,63 +}; + +unsigned int shift_ten2m3k64[] = { + 8, // 72 - 64 + 16, // 80 - 64 + 28, // 92 - 64 + 36, // 100 - 64 + 48 // 112 - 64 +}; + +UINT128 ten2m3k128[] = { + {{0xb22d0e5604189375ull, 0x4189374bc6a7ef9dull}}, + // 4189374bc6a7ef9d b22d0e5604189375 * 2^-136 = (10^-3)RP,127 + {{0xb4c7f34938583622ull, 0x10c6f7a0b5ed8d36ull}}, + // 10c6f7a0b5ed8d36 b4c7f34938583622 * 2^-144 = (10^-6)RP,125 + {{0x98b405447c4a9819ull, 0x44b82fa09b5a52cbull}}, + // 44b82fa09b5a52cb 98b405447c4a9819 * 2^-156 = (10^-9)RP,127 + {{0x7f27f0f6e885c8bbull, 0x119799812dea1119ull}}, + // 119799812dea1119 7f27f0f6e885c8bb * 2^-164 = (10^-12)RP,125 + {{0x87ce9b80a5fb0509ull, 0x480ebe7b9d58566cull}}, + // 480ebe7b9d58566c 87ce9b80a5fb0509 * 2^-176 = (10^-15)RP,127 + {{0xe75fe645cc4873faull, 0x12725dd1d243aba0ull}}, + // 12725dd1d243aba0 e75fe645cc4873fa * 2^-184 = (10^-18)RP,125 + {{0x69fb7e0b75e52f02ull, 0x4b8ed0283a6d3df7ull}}, + // 4b8ed0283a6d3df7 69fb7e0b75e52f02 * 2^-196 = (10^-21)RP,127 + {{0x58924d52ce4f26a9ull, 0x1357c299a88ea76aull}}, + // 1357c299a88ea76a 58924d52ce4f26a9 * 2^-204 = (10^-24)RP,125 + {{0x3baf513267aa9a3full, 0x4f3a68dbc8f03f24ull}}, + // 4f3a68dbc8f03f24 3baf513267aa9a3f * 2^-216 = (10^-27)RP,127 + {{0x3424b06f3529a052ull, 0x14484bfeebc29f86ull}}, + // 14484bfeebc29f86 3424b06f3529a052 * 2^-224 = (10^-30)RP,125 + {{0xf658d6c57566eac8ull, 0x5313a5dee87d6eb0ull}} + // 5313a5dee87d6eb0 f658d6c57566eac8 * 2^-236 = (10^-33)RP,127 +}; + +unsigned int shift_ten2m3k128[] = { + 8, // 136 - 128 + 16, // 144 - 128 + 28, // 156 - 128 + 36, // 164 - 128 + 48, // 176 - 128 + 56, // 184 - 128 + 4, // 196 - 192 + 12, // 204 - 192 + 24, // 216 - 192 + 32, // 224 - 192 + 44 // 236 - 192 +}; + + +/*************************************************************************** + *************** TABLES FOR GENERAL ROUNDING FUNCTIONS ********************* + ***************************************************************************/ +// Note: not all entries in these tables will be used with IEEE 754R decimal +// floating-point arithmetic +// a) In round128_2_18() numbers with 2 <= q <= 18 will be rounded only +// for 1 <= x <= 3: +// x = 1 or x = 2 when q = 17 +// x = 2 or x = 3 when q = 18 +// b) In round128_19_38() numbers with 19 <= q <= 38 will be rounded only +// for 1 <= x <= 23: +// x = 3 or x = 4 when q = 19 +// x = 4 or x = 5 when q = 20 +// ... +// x = 18 or x = 19 when q = 34 +// x = 1 or x = 2 or x = 19 or x = 20 when q = 35 +// x = 2 or x = 3 or x = 20 or x = 21 when q = 36 +// x = 3 or x = 4 or x = 21 or x = 22 when q = 37 +// x = 4 or x = 5 or x = 22 or x = 23 when q = 38 +// c) ... +// However, for generality and possible uses outside the frame of IEEE 754R +// this implementation includes table values for all x in [1, q - 1] + +// Note: 64-bit tables generated with ten2mx64.ma; output in ten2mx64.out + +// Kx from 10^(-x) ~= Kx * 2^(-Ex); Kx rounded up to 64 bits, 1 <= x <= 17 +UINT64 Kx64[] = { + 0xcccccccccccccccdULL, // 10^-1 ~= cccccccccccccccd * 2^-67 + 0xa3d70a3d70a3d70bULL, // 10^-2 ~= a3d70a3d70a3d70b * 2^-70 + 0x83126e978d4fdf3cULL, // 10^-3 ~= 83126e978d4fdf3c * 2^-73 + 0xd1b71758e219652cULL, // 10^-4 ~= d1b71758e219652c * 2^-77 + 0xa7c5ac471b478424ULL, // 10^-5 ~= a7c5ac471b478424 * 2^-80 + 0x8637bd05af6c69b6ULL, // 10^-6 ~= 8637bd05af6c69b6 * 2^-83 + 0xd6bf94d5e57a42bdULL, // 10^-7 ~= d6bf94d5e57a42bd * 2^-87 + 0xabcc77118461cefdULL, // 10^-8 ~= abcc77118461cefd * 2^-90 + 0x89705f4136b4a598ULL, // 10^-9 ~= 89705f4136b4a598 * 2^-93 + 0xdbe6fecebdedd5bfULL, // 10^-10 ~= dbe6fecebdedd5bf * 2^-97 + 0xafebff0bcb24aaffULL, // 10^-11 ~= afebff0bcb24aaff * 2^-100 + 0x8cbccc096f5088ccULL, // 10^-12 ~= 8cbccc096f5088cc * 2^-103 + 0xe12e13424bb40e14ULL, // 10^-13 ~= e12e13424bb40e14 * 2^-107 + 0xb424dc35095cd810ULL, // 10^-14 ~= b424dc35095cd810 * 2^-110 + 0x901d7cf73ab0acdaULL, // 10^-15 ~= 901d7cf73ab0acda * 2^-113 + 0xe69594bec44de15cULL, // 10^-16 ~= e69594bec44de15c * 2^-117 + 0xb877aa3236a4b44aULL // 10^-17 ~= b877aa3236a4b44a * 2^-120 +}; + +// Ex-64 from 10^(-x) ~= Kx * 2^(-Ex); Kx rounded up to 64 bits, 1 <= x <= 17 +unsigned int Ex64m64[] = { + 3, // 67 - 64, Ex = 67 + 6, // 70 - 64, Ex = 70 + 9, // 73 - 64, Ex = 73 + 13, // 77 - 64, Ex = 77 + 16, // 80 - 64, Ex = 80 + 19, // 83 - 64, Ex = 83 + 23, // 87 - 64, Ex = 87 + 26, // 90 - 64, Ex = 90 + 29, // 93 - 64, Ex = 93 + 33, // 97 - 64, Ex = 97 + 36, // 100 - 64, Ex = 100 + 39, // 103 - 64, Ex = 103 + 43, // 107 - 64, Ex = 107 + 46, // 110 - 64, Ex = 110 + 49, // 113 - 64, Ex = 113 + 53, // 117 - 64, Ex = 117 + 56 // 120 - 64, Ex = 120 +}; + +// Values of 1/2 in the right position to be compared with the fraction from +// C * kx, 1 <= x <= 17; the fraction consists of the low Ex bits in C * kx +// (these values are aligned with the high 64 bits of the fraction) +UINT64 half64[] = { + 0x0000000000000004ULL, // half / 2^64 = 4 + 0x0000000000000020ULL, // half / 2^64 = 20 + 0x0000000000000100ULL, // half / 2^64 = 100 + 0x0000000000001000ULL, // half / 2^64 = 1000 + 0x0000000000008000ULL, // half / 2^64 = 8000 + 0x0000000000040000ULL, // half / 2^64 = 40000 + 0x0000000000400000ULL, // half / 2^64 = 400000 + 0x0000000002000000ULL, // half / 2^64 = 2000000 + 0x0000000010000000ULL, // half / 2^64 = 10000000 + 0x0000000100000000ULL, // half / 2^64 = 100000000 + 0x0000000800000000ULL, // half / 2^64 = 800000000 + 0x0000004000000000ULL, // half / 2^64 = 4000000000 + 0x0000040000000000ULL, // half / 2^64 = 40000000000 + 0x0000200000000000ULL, // half / 2^64 = 200000000000 + 0x0001000000000000ULL, // half / 2^64 = 1000000000000 + 0x0010000000000000ULL, // half / 2^64 = 10000000000000 + 0x0080000000000000ULL // half / 2^64 = 80000000000000 +}; + +// Values of mask in the right position to obtain the high Ex - 64 bits +// of the fraction from C * kx, 1 <= x <= 17; the fraction consists of +// the low Ex bits in C * kx +UINT64 mask64[] = { + 0x0000000000000007ULL, // mask / 2^64 + 0x000000000000003fULL, // mask / 2^64 + 0x00000000000001ffULL, // mask / 2^64 + 0x0000000000001fffULL, // mask / 2^64 + 0x000000000000ffffULL, // mask / 2^64 + 0x000000000007ffffULL, // mask / 2^64 + 0x00000000007fffffULL, // mask / 2^64 + 0x0000000003ffffffULL, // mask / 2^64 + 0x000000001fffffffULL, // mask / 2^64 + 0x00000001ffffffffULL, // mask / 2^64 + 0x0000000fffffffffULL, // mask / 2^64 + 0x0000007fffffffffULL, // mask / 2^64 + 0x000007ffffffffffULL, // mask / 2^64 + 0x00003fffffffffffULL, // mask / 2^64 + 0x0001ffffffffffffULL, // mask / 2^64 + 0x001fffffffffffffULL, // mask / 2^64 + 0x00ffffffffffffffULL // mask / 2^64 +}; + +// Values of 10^(-x) trancated to Ex bits beyond the binary point, and +// in the right position to be compared with the fraction from C * kx, +// 1 <= x <= 17; the fraction consists of the low Ex bits in C * kx +// (these values are aligned with the low 64 bits of the fraction) +UINT64 ten2mxtrunc64[] = { + 0xccccccccccccccccULL, // (ten2mx >> 64) = cccccccccccccccc + 0xa3d70a3d70a3d70aULL, // (ten2mx >> 64) = a3d70a3d70a3d70a + 0x83126e978d4fdf3bULL, // (ten2mx >> 64) = 83126e978d4fdf3b + 0xd1b71758e219652bULL, // (ten2mx >> 64) = d1b71758e219652b + 0xa7c5ac471b478423ULL, // (ten2mx >> 64) = a7c5ac471b478423 + 0x8637bd05af6c69b5ULL, // (ten2mx >> 64) = 8637bd05af6c69b5 + 0xd6bf94d5e57a42bcULL, // (ten2mx >> 64) = d6bf94d5e57a42bc + 0xabcc77118461cefcULL, // (ten2mx >> 64) = abcc77118461cefc + 0x89705f4136b4a597ULL, // (ten2mx >> 64) = 89705f4136b4a597 + 0xdbe6fecebdedd5beULL, // (ten2mx >> 64) = dbe6fecebdedd5be + 0xafebff0bcb24aafeULL, // (ten2mx >> 64) = afebff0bcb24aafe + 0x8cbccc096f5088cbULL, // (ten2mx >> 64) = 8cbccc096f5088cb + 0xe12e13424bb40e13ULL, // (ten2mx >> 64) = e12e13424bb40e13 + 0xb424dc35095cd80fULL, // (ten2mx >> 64) = b424dc35095cd80f + 0x901d7cf73ab0acd9ULL, // (ten2mx >> 64) = 901d7cf73ab0acd9 + 0xe69594bec44de15bULL, // (ten2mx >> 64) = e69594bec44de15b + 0xb877aa3236a4b449ULL // (ten2mx >> 64) = b877aa3236a4b449 +}; + +// Note: 128-bit tables generated with ten2mx128.ma; output in ten2mx128.out +// The order of the 64-bit components is L, H + +// Kx from 10^(-x) ~= Kx * 2^(-Ex); Kx rounded up to 128 bits, 1 <= x <= 37 +UINT128 Kx128[] = { + {{0xcccccccccccccccdULL, 0xccccccccccccccccULL}}, + // 10^-1 ~= cccccccccccccccccccccccccccccccd * 2^-131 + {{0x3d70a3d70a3d70a4ULL, 0xa3d70a3d70a3d70aULL}}, + // 10^-2 ~= a3d70a3d70a3d70a3d70a3d70a3d70a4 * 2^-134 + {{0x645a1cac083126eaULL, 0x83126e978d4fdf3bULL}}, + // 10^-3 ~= 83126e978d4fdf3b645a1cac083126ea * 2^-137 + {{0xd3c36113404ea4a9ULL, 0xd1b71758e219652bULL}}, + // 10^-4 ~= d1b71758e219652bd3c36113404ea4a9 * 2^-141 + {{0x0fcf80dc33721d54ULL, 0xa7c5ac471b478423ULL}}, + // 10^-5 ~= a7c5ac471b4784230fcf80dc33721d54 * 2^-144 + {{0xa63f9a49c2c1b110ULL, 0x8637bd05af6c69b5ULL}}, + // 10^-6 ~= 8637bd05af6c69b5a63f9a49c2c1b110 * 2^-147 + {{0x3d32907604691b4dULL, 0xd6bf94d5e57a42bcULL}}, + // 10^-7 ~= d6bf94d5e57a42bc3d32907604691b4d * 2^-151 + {{0xfdc20d2b36ba7c3eULL, 0xabcc77118461cefcULL}}, + // 10^-8 ~= abcc77118461cefcfdc20d2b36ba7c3e * 2^-154 + {{0x31680a88f8953031ULL, 0x89705f4136b4a597ULL}}, + // 10^-9 ~= 89705f4136b4a59731680a88f8953031 * 2^-157 + {{0xb573440e5a884d1cULL, 0xdbe6fecebdedd5beULL}}, + // 10^-10 ~= dbe6fecebdedd5beb573440e5a884d1c * 2^-161 + {{0xf78f69a51539d749ULL, 0xafebff0bcb24aafeULL}}, + // 10^-11 ~= afebff0bcb24aafef78f69a51539d749 * 2^-164 + {{0xf93f87b7442e45d4ULL, 0x8cbccc096f5088cbULL}}, + // 10^-12 ~= 8cbccc096f5088cbf93f87b7442e45d4 * 2^-167 + {{0x2865a5f206b06fbaULL, 0xe12e13424bb40e13ULL}}, + // 10^-13 ~= e12e13424bb40e132865a5f206b06fba * 2^-171 + {{0x538484c19ef38c95ULL, 0xb424dc35095cd80fULL}}, + // 10^-14 ~= b424dc35095cd80f538484c19ef38c95 * 2^-174 + {{0x0f9d37014bf60a11ULL, 0x901d7cf73ab0acd9ULL}}, + // 10^-15 ~= 901d7cf73ab0acd90f9d37014bf60a11 * 2^-177 + {{0x4c2ebe687989a9b4ULL, 0xe69594bec44de15bULL}}, + // 10^-16 ~= e69594bec44de15b4c2ebe687989a9b4 * 2^-181 + {{0x09befeb9fad487c3ULL, 0xb877aa3236a4b449ULL}}, + // 10^-17 ~= b877aa3236a4b44909befeb9fad487c3 * 2^-184 + {{0x3aff322e62439fd0ULL, 0x9392ee8e921d5d07ULL}}, + // 10^-18 ~= 9392ee8e921d5d073aff322e62439fd0 * 2^-187 + {{0x2b31e9e3d06c32e6ULL, 0xec1e4a7db69561a5ULL}}, + // 10^-19 ~= ec1e4a7db69561a52b31e9e3d06c32e6 * 2^-191 + {{0x88f4bb1ca6bcf585ULL, 0xbce5086492111aeaULL}}, + // 10^-20 ~= bce5086492111aea88f4bb1ca6bcf585 * 2^-194 + {{0xd3f6fc16ebca5e04ULL, 0x971da05074da7beeULL}}, + // 10^-21 ~= 971da05074da7beed3f6fc16ebca5e04 * 2^-197 + {{0x5324c68b12dd6339ULL, 0xf1c90080baf72cb1ULL}}, + // 10^-22 ~= f1c90080baf72cb15324c68b12dd6339 * 2^-201 + {{0x75b7053c0f178294ULL, 0xc16d9a0095928a27ULL}}, + // 10^-23 ~= c16d9a0095928a2775b7053c0f178294 * 2^-204 + {{0xc4926a9672793543ULL, 0x9abe14cd44753b52ULL}}, + // 10^-24 ~= 9abe14cd44753b52c4926a9672793543 * 2^-207 + {{0x3a83ddbd83f52205ULL, 0xf79687aed3eec551ULL}}, + // 10^-25 ~= f79687aed3eec5513a83ddbd83f52205 * 2^-211 + {{0x95364afe032a819eULL, 0xc612062576589ddaULL}}, + // 10^-26 ~= c612062576589dda95364afe032a819e * 2^-214 + {{0x775ea264cf55347eULL, 0x9e74d1b791e07e48ULL}}, + // 10^-27 ~= 9e74d1b791e07e48775ea264cf55347e * 2^-217 + {{0x8bca9d6e188853fdULL, 0xfd87b5f28300ca0dULL}}, + // 10^-28 ~= fd87b5f28300ca0d8bca9d6e188853fd * 2^-221 + {{0x096ee45813a04331ULL, 0xcad2f7f5359a3b3eULL}}, + // 10^-29 ~= cad2f7f5359a3b3e096ee45813a04331 * 2^-224 + {{0xa1258379a94d028eULL, 0xa2425ff75e14fc31ULL}}, + // 10^-30 ~= a2425ff75e14fc31a1258379a94d028e * 2^-227 + {{0x80eacf948770ced8ULL, 0x81ceb32c4b43fcf4ULL}}, + // 10^-31 ~= 81ceb32c4b43fcf480eacf948770ced8 * 2^-230 + {{0x67de18eda5814af3ULL, 0xcfb11ead453994baULL}}, + // 10^-32 ~= cfb11ead453994ba67de18eda5814af3 * 2^-234 + {{0xecb1ad8aeacdd58fULL, 0xa6274bbdd0fadd61ULL}}, + // 10^-33 ~= a6274bbdd0fadd61ecb1ad8aeacdd58f * 2^-237 + {{0xbd5af13bef0b113fULL, 0x84ec3c97da624ab4ULL}}, + // 10^-34 ~= 84ec3c97da624ab4bd5af13bef0b113f * 2^-240 + {{0x955e4ec64b44e865ULL, 0xd4ad2dbfc3d07787ULL}}, + // 10^-35 ~= d4ad2dbfc3d07787955e4ec64b44e865 * 2^-244 + {{0xdde50bd1d5d0b9eaULL, 0xaa242499697392d2ULL}}, + // 10^-36 ~= aa242499697392d2dde50bd1d5d0b9ea * 2^-247 + {{0x7e50d64177da2e55ULL, 0x881cea14545c7575ULL}} + // 10^-37 ~= 881cea14545c75757e50d64177da2e55 * 2^-250 +}; + +// Ex-128 from 10^(-x) ~= Kx*2^(-Ex); Kx rounded up to 128 bits, 1 <= x <= 37 +unsigned int Ex128m128[] = { + 3, // 131 - 128, Ex = 131 + 6, // 134 - 128, Ex = 134 + 9, // 137 - 128, Ex = 137 + 13, // 141 - 128, Ex = 141 + 16, // 144 - 128, Ex = 144 + 19, // 147 - 128, Ex = 147 + 23, // 151 - 128, Ex = 151 + 26, // 154 - 128, Ex = 154 + 29, // 157 - 128, Ex = 157 + 33, // 161 - 128, Ex = 161 + 36, // 164 - 128, Ex = 164 + 39, // 167 - 128, Ex = 167 + 43, // 171 - 128, Ex = 171 + 46, // 174 - 128, Ex = 174 + 49, // 177 - 128, Ex = 177 + 53, // 181 - 128, Ex = 181 + 56, // 184 - 128, Ex = 184 + 59, // 187 - 128, Ex = 187 + 63, // 191 - 128, Ex = 191 + 2, // 194 - 192, Ex = 194 + 5, // 197 - 192, Ex = 197 + 9, // 201 - 192, Ex = 201 + 12, // 204 - 192, Ex = 204 + 15, // 207 - 192, Ex = 207 + 19, // 211 - 192, Ex = 211 + 22, // 214 - 192, Ex = 214 + 25, // 217 - 192, Ex = 217 + 29, // 221 - 192, Ex = 221 + 32, // 224 - 192, Ex = 224 + 35, // 227 - 192, Ex = 227 + 38, // 230 - 192, Ex = 230 + 42, // 234 - 192, Ex = 234 + 45, // 237 - 192, Ex = 237 + 48, // 240 - 192, Ex = 240 + 52, // 244 - 192, Ex = 244 + 55, // 247 - 192, Ex = 247 + 58 // 250 - 192, Ex = 250 +}; + +// Values of 1/2 in the right position to be compared with the fraction from +// C * kx, 1 <= x <= 37; the fraction consists of the low Ex bits in C * kx +// (these values are aligned with the high 128 bits of the fraction) +UINT64 half128[] = { + 0x0000000000000004ULL, // half / 2^128 = 4 + 0x0000000000000020ULL, // half / 2^128 = 20 + 0x0000000000000100ULL, // half / 2^128 = 100 + 0x0000000000001000ULL, // half / 2^128 = 1000 + 0x0000000000008000ULL, // half / 2^128 = 8000 + 0x0000000000040000ULL, // half / 2^128 = 40000 + 0x0000000000400000ULL, // half / 2^128 = 400000 + 0x0000000002000000ULL, // half / 2^128 = 2000000 + 0x0000000010000000ULL, // half / 2^128 = 10000000 + 0x0000000100000000ULL, // half / 2^128 = 100000000 + 0x0000000800000000ULL, // half / 2^128 = 800000000 + 0x0000004000000000ULL, // half / 2^128 = 4000000000 + 0x0000040000000000ULL, // half / 2^128 = 40000000000 + 0x0000200000000000ULL, // half / 2^128 = 200000000000 + 0x0001000000000000ULL, // half / 2^128 = 1000000000000 + 0x0010000000000000ULL, // half / 2^128 = 10000000000000 + 0x0080000000000000ULL, // half / 2^128 = 80000000000000 + 0x0400000000000000ULL, // half / 2^128 = 400000000000000 + 0x4000000000000000ULL, // half / 2^128 = 4000000000000000 + 0x0000000000000002ULL, // half / 2^192 = 2 + 0x0000000000000010ULL, // half / 2^192 = 10 + 0x0000000000000100ULL, // half / 2^192 = 100 + 0x0000000000000800ULL, // half / 2^192 = 800 + 0x0000000000004000ULL, // half / 2^192 = 4000 + 0x0000000000040000ULL, // half / 2^192 = 40000 + 0x0000000000200000ULL, // half / 2^192 = 200000 + 0x0000000001000000ULL, // half / 2^192 = 1000000 + 0x0000000010000000ULL, // half / 2^192 = 10000000 + 0x0000000080000000ULL, // half / 2^192 = 80000000 + 0x0000000400000000ULL, // half / 2^192 = 400000000 + 0x0000002000000000ULL, // half / 2^192 = 2000000000 + 0x0000020000000000ULL, // half / 2^192 = 20000000000 + 0x0000100000000000ULL, // half / 2^192 = 100000000000 + 0x0000800000000000ULL, // half / 2^192 = 800000000000 + 0x0008000000000000ULL, // half / 2^192 = 8000000000000 + 0x0040000000000000ULL, // half / 2^192 = 40000000000000 + 0x0200000000000000ULL // half / 2^192 = 200000000000000 +}; + +// Values of mask in the right position to obtain the high Ex - 128 or Ex - 192 +// bits of the fraction from C * kx, 1 <= x <= 37; the fraction consists of +// the low Ex bits in C * kx +UINT64 mask128[] = { + 0x0000000000000007ULL, // mask / 2^128 + 0x000000000000003fULL, // mask / 2^128 + 0x00000000000001ffULL, // mask / 2^128 + 0x0000000000001fffULL, // mask / 2^128 + 0x000000000000ffffULL, // mask / 2^128 + 0x000000000007ffffULL, // mask / 2^128 + 0x00000000007fffffULL, // mask / 2^128 + 0x0000000003ffffffULL, // mask / 2^128 + 0x000000001fffffffULL, // mask / 2^128 + 0x00000001ffffffffULL, // mask / 2^128 + 0x0000000fffffffffULL, // mask / 2^128 + 0x0000007fffffffffULL, // mask / 2^128 + 0x000007ffffffffffULL, // mask / 2^128 + 0x00003fffffffffffULL, // mask / 2^128 + 0x0001ffffffffffffULL, // mask / 2^128 + 0x001fffffffffffffULL, // mask / 2^128 + 0x00ffffffffffffffULL, // mask / 2^128 + 0x07ffffffffffffffULL, // mask / 2^128 + 0x7fffffffffffffffULL, // mask / 2^128 + 0x0000000000000003ULL, // mask / 2^192 + 0x000000000000001fULL, // mask / 2^192 + 0x00000000000001ffULL, // mask / 2^192 + 0x0000000000000fffULL, // mask / 2^192 + 0x0000000000007fffULL, // mask / 2^192 + 0x000000000007ffffULL, // mask / 2^192 + 0x00000000003fffffULL, // mask / 2^192 + 0x0000000001ffffffULL, // mask / 2^192 + 0x000000001fffffffULL, // mask / 2^192 + 0x00000000ffffffffULL, // mask / 2^192 + 0x00000007ffffffffULL, // mask / 2^192 + 0x0000003fffffffffULL, // mask / 2^192 + 0x000003ffffffffffULL, // mask / 2^192 + 0x00001fffffffffffULL, // mask / 2^192 + 0x0000ffffffffffffULL, // mask / 2^192 + 0x000fffffffffffffULL, // mask / 2^192 + 0x007fffffffffffffULL, // mask / 2^192 + 0x03ffffffffffffffULL // mask / 2^192 +}; + +// Values of 10^(-x) trancated to Ex bits beyond the binary point, and +// in the right position to be compared with the fraction from C * kx, +// 1 <= x <= 37; the fraction consists of the low Ex bits in C * kx +// (these values are aligned with the low 128 bits of the fraction) +UINT128 ten2mxtrunc128[] = { + {{0xccccccccccccccccULL, 0xccccccccccccccccULL}}, + // (ten2mx >> 128) = cccccccccccccccccccccccccccccccc + {{0x3d70a3d70a3d70a3ULL, 0xa3d70a3d70a3d70aULL}}, + // (ten2mx >> 128) = a3d70a3d70a3d70a3d70a3d70a3d70a3 + {{0x645a1cac083126e9ULL, 0x83126e978d4fdf3bULL}}, + // (ten2mx >> 128) = 83126e978d4fdf3b645a1cac083126e9 + {{0xd3c36113404ea4a8ULL, 0xd1b71758e219652bULL}}, + // (ten2mx >> 128) = d1b71758e219652bd3c36113404ea4a8 + {{0x0fcf80dc33721d53ULL, 0xa7c5ac471b478423ULL}}, + // (ten2mx >> 128) = a7c5ac471b4784230fcf80dc33721d53 + {{0xa63f9a49c2c1b10fULL, 0x8637bd05af6c69b5ULL}}, + // (ten2mx >> 128) = 8637bd05af6c69b5a63f9a49c2c1b10f + {{0x3d32907604691b4cULL, 0xd6bf94d5e57a42bcULL}}, + // (ten2mx >> 128) = d6bf94d5e57a42bc3d32907604691b4c + {{0xfdc20d2b36ba7c3dULL, 0xabcc77118461cefcULL}}, + // (ten2mx >> 128) = abcc77118461cefcfdc20d2b36ba7c3d + {{0x31680a88f8953030ULL, 0x89705f4136b4a597ULL}}, + // (ten2mx >> 128) = 89705f4136b4a59731680a88f8953030 + {{0xb573440e5a884d1bULL, 0xdbe6fecebdedd5beULL}}, + // (ten2mx >> 128) = dbe6fecebdedd5beb573440e5a884d1b + {{0xf78f69a51539d748ULL, 0xafebff0bcb24aafeULL}}, + // (ten2mx >> 128) = afebff0bcb24aafef78f69a51539d748 + {{0xf93f87b7442e45d3ULL, 0x8cbccc096f5088cbULL}}, + // (ten2mx >> 128) = 8cbccc096f5088cbf93f87b7442e45d3 + {{0x2865a5f206b06fb9ULL, 0xe12e13424bb40e13ULL}}, + // (ten2mx >> 128) = e12e13424bb40e132865a5f206b06fb9 + {{0x538484c19ef38c94ULL, 0xb424dc35095cd80fULL}}, + // (ten2mx >> 128) = b424dc35095cd80f538484c19ef38c94 + {{0x0f9d37014bf60a10ULL, 0x901d7cf73ab0acd9ULL}}, + // (ten2mx >> 128) = 901d7cf73ab0acd90f9d37014bf60a10 + {{0x4c2ebe687989a9b3ULL, 0xe69594bec44de15bULL}}, + // (ten2mx >> 128) = e69594bec44de15b4c2ebe687989a9b3 + {{0x09befeb9fad487c2ULL, 0xb877aa3236a4b449ULL}}, + // (ten2mx >> 128) = b877aa3236a4b44909befeb9fad487c2 + {{0x3aff322e62439fcfULL, 0x9392ee8e921d5d07ULL}}, + // (ten2mx >> 128) = 9392ee8e921d5d073aff322e62439fcf + {{0x2b31e9e3d06c32e5ULL, 0xec1e4a7db69561a5ULL}}, + // (ten2mx >> 128) = ec1e4a7db69561a52b31e9e3d06c32e5 + {{0x88f4bb1ca6bcf584ULL, 0xbce5086492111aeaULL}}, + // (ten2mx >> 128) = bce5086492111aea88f4bb1ca6bcf584 + {{0xd3f6fc16ebca5e03ULL, 0x971da05074da7beeULL}}, + // (ten2mx >> 128) = 971da05074da7beed3f6fc16ebca5e03 + {{0x5324c68b12dd6338ULL, 0xf1c90080baf72cb1ULL}}, + // (ten2mx >> 128) = f1c90080baf72cb15324c68b12dd6338 + {{0x75b7053c0f178293ULL, 0xc16d9a0095928a27ULL}}, + // (ten2mx >> 128) = c16d9a0095928a2775b7053c0f178293 + {{0xc4926a9672793542ULL, 0x9abe14cd44753b52ULL}}, + // (ten2mx >> 128) = 9abe14cd44753b52c4926a9672793542 + {{0x3a83ddbd83f52204ULL, 0xf79687aed3eec551ULL}}, + // (ten2mx >> 128) = f79687aed3eec5513a83ddbd83f52204 + {{0x95364afe032a819dULL, 0xc612062576589ddaULL}}, + // (ten2mx >> 128) = c612062576589dda95364afe032a819d + {{0x775ea264cf55347dULL, 0x9e74d1b791e07e48ULL}}, + // (ten2mx >> 128) = 9e74d1b791e07e48775ea264cf55347d + {{0x8bca9d6e188853fcULL, 0xfd87b5f28300ca0dULL}}, + // (ten2mx >> 128) = fd87b5f28300ca0d8bca9d6e188853fc + {{0x096ee45813a04330ULL, 0xcad2f7f5359a3b3eULL}}, + // (ten2mx >> 128) = cad2f7f5359a3b3e096ee45813a04330 + {{0xa1258379a94d028dULL, 0xa2425ff75e14fc31ULL}}, + // (ten2mx >> 128) = a2425ff75e14fc31a1258379a94d028d + {{0x80eacf948770ced7ULL, 0x81ceb32c4b43fcf4ULL}}, + // (ten2mx >> 128) = 81ceb32c4b43fcf480eacf948770ced7 + {{0x67de18eda5814af2ULL, 0xcfb11ead453994baULL}}, + // (ten2mx >> 128) = cfb11ead453994ba67de18eda5814af2 + {{0xecb1ad8aeacdd58eULL, 0xa6274bbdd0fadd61ULL}}, + // (ten2mx >> 128) = a6274bbdd0fadd61ecb1ad8aeacdd58e + {{0xbd5af13bef0b113eULL, 0x84ec3c97da624ab4ULL}}, + // (ten2mx >> 128) = 84ec3c97da624ab4bd5af13bef0b113e + {{0x955e4ec64b44e864ULL, 0xd4ad2dbfc3d07787ULL}}, + // (ten2mx >> 128) = d4ad2dbfc3d07787955e4ec64b44e864 + {{0xdde50bd1d5d0b9e9ULL, 0xaa242499697392d2ULL}}, + // (ten2mx >> 128) = aa242499697392d2dde50bd1d5d0b9e9 + {{0x7e50d64177da2e54ULL, 0x881cea14545c7575ULL}} + // (ten2mx >> 128) = 881cea14545c75757e50d64177da2e54 +}; + +UINT192 Kx192[] = { + {{0xcccccccccccccccdULL, 0xccccccccccccccccULL, + 0xccccccccccccccccULL}}, + // 10^-1 ~= cccccccccccccccccccccccccccccccccccccccccccccccd * 2^-195 + {{0xd70a3d70a3d70a3eULL, 0x3d70a3d70a3d70a3ULL, + 0xa3d70a3d70a3d70aULL}}, + // 10^-2 ~= a3d70a3d70a3d70a3d70a3d70a3d70a3d70a3d70a3d70a3e * 2^-198 + {{0x78d4fdf3b645a1cbULL, 0x645a1cac083126e9ULL, + 0x83126e978d4fdf3bULL}}, + // 10^-3 ~= 83126e978d4fdf3b645a1cac083126e978d4fdf3b645a1cb * 2^-201 + {{0xc154c985f06f6945ULL, 0xd3c36113404ea4a8ULL, + 0xd1b71758e219652bULL}}, + // 10^-4 ~= d1b71758e219652bd3c36113404ea4a8c154c985f06f6945 * 2^-205 + {{0xcddd6e04c0592104ULL, 0x0fcf80dc33721d53ULL, + 0xa7c5ac471b478423ULL}}, + // 10^-5 ~= a7c5ac471b4784230fcf80dc33721d53cddd6e04c0592104 * 2^-208 + {{0xd7e45803cd141a6aULL, 0xa63f9a49c2c1b10fULL, + 0x8637bd05af6c69b5ULL}}, + // 10^-6 ~= 8637bd05af6c69b5a63f9a49c2c1b10fd7e45803cd141a6a * 2^-211 + {{0x8ca08cd2e1b9c3dcULL, 0x3d32907604691b4cULL, + 0xd6bf94d5e57a42bcULL}}, + // 10^-7 ~= d6bf94d5e57a42bc3d32907604691b4c8ca08cd2e1b9c3dc * 2^-215 + {{0x3d4d3d758161697dULL, 0xfdc20d2b36ba7c3dULL, + 0xabcc77118461cefcULL}}, + // 10^-8 ~= abcc77118461cefcfdc20d2b36ba7c3d3d4d3d758161697d * 2^-218 + {{0xfdd7645e011abacaULL, 0x31680a88f8953030ULL, + 0x89705f4136b4a597ULL}}, + // 10^-9 ~= 89705f4136b4a59731680a88f8953030fdd7645e011abaca * 2^-221 + {{0x2fbf06fcce912addULL, 0xb573440e5a884d1bULL, + 0xdbe6fecebdedd5beULL}}, + // 10^-10 ~= dbe6fecebdedd5beb573440e5a884d1b2fbf06fcce912add * 2^-225 + {{0xf2ff38ca3eda88b1ULL, 0xf78f69a51539d748ULL, + 0xafebff0bcb24aafeULL}}, + // 10^-11 ~= afebff0bcb24aafef78f69a51539d748f2ff38ca3eda88b1 * 2^-228 + {{0xf598fa3b657ba08eULL, 0xf93f87b7442e45d3ULL, + 0x8cbccc096f5088cbULL}}, + // 10^-12 ~= 8cbccc096f5088cbf93f87b7442e45d3f598fa3b657ba08e * 2^-231 + {{0x88f4c3923bf900e3ULL, 0x2865a5f206b06fb9ULL, + 0xe12e13424bb40e13ULL}}, + // 10^-13 ~= e12e13424bb40e132865a5f206b06fb988f4c3923bf900e3 * 2^-235 + {{0x6d909c74fcc733e9ULL, 0x538484c19ef38c94ULL, + 0xb424dc35095cd80fULL}}, + // 10^-14 ~= b424dc35095cd80f538484c19ef38c946d909c74fcc733e9 * 2^-238 + {{0x57a6e390ca38f654ULL, 0x0f9d37014bf60a10ULL, + 0x901d7cf73ab0acd9ULL}}, + // 10^-15 ~= 901d7cf73ab0acd90f9d37014bf60a1057a6e390ca38f654 * 2^-241 + {{0xbf716c1add27f086ULL, 0x4c2ebe687989a9b3ULL, + 0xe69594bec44de15bULL}}, + // 10^-16 ~= e69594bec44de15b4c2ebe687989a9b3bf716c1add27f086 * 2^-245 + {{0xff8df0157db98d38ULL, 0x09befeb9fad487c2ULL, + 0xb877aa3236a4b449ULL}}, + // 10^-17 ~= b877aa3236a4b44909befeb9fad487c2ff8df0157db98d38 * 2^-248 + {{0x32d7f344649470faULL, 0x3aff322e62439fcfULL, + 0x9392ee8e921d5d07ULL}}, + // 10^-18 ~= 9392ee8e921d5d073aff322e62439fcf32d7f344649470fa * 2^-251 + {{0x1e2652070753e7f5ULL, 0x2b31e9e3d06c32e5ULL, + 0xec1e4a7db69561a5ULL}}, + // 10^-19 ~= ec1e4a7db69561a52b31e9e3d06c32e51e2652070753e7f5 * 2^-255 + {{0x181ea8059f76532bULL, 0x88f4bb1ca6bcf584ULL, + 0xbce5086492111aeaULL}}, + // 10^-20 ~= bce5086492111aea88f4bb1ca6bcf584181ea8059f76532b * 2^-258 + {{0x467eecd14c5ea8efULL, 0xd3f6fc16ebca5e03ULL, + 0x971da05074da7beeULL}}, + // 10^-21 ~= 971da05074da7beed3f6fc16ebca5e03467eecd14c5ea8ef * 2^-261 + {{0x70cb148213caa7e5ULL, 0x5324c68b12dd6338ULL, + 0xf1c90080baf72cb1ULL}}, + // 10^-22 ~= f1c90080baf72cb15324c68b12dd633870cb148213caa7e5 * 2^-265 + {{0x8d6f439b43088651ULL, 0x75b7053c0f178293ULL, + 0xc16d9a0095928a27ULL}}, + // 10^-23 ~= c16d9a0095928a2775b7053c0f1782938d6f439b43088651 * 2^-268 + {{0xd78c3615cf3a050dULL, 0xc4926a9672793542ULL, + 0x9abe14cd44753b52ULL}}, + // 10^-24 ~= 9abe14cd44753b52c4926a9672793542d78c3615cf3a050d * 2^-271 + {{0x8c1389bc7ec33b48ULL, 0x3a83ddbd83f52204ULL, + 0xf79687aed3eec551ULL}}, + // 10^-25 ~= f79687aed3eec5513a83ddbd83f522048c1389bc7ec33b48 * 2^-275 + {{0x3cdc6e306568fc3aULL, 0x95364afe032a819dULL, + 0xc612062576589ddaULL}}, + // 10^-26 ~= c612062576589dda95364afe032a819d3cdc6e306568fc3a * 2^-278 + {{0xca49f1c05120c9c8ULL, 0x775ea264cf55347dULL, + 0x9e74d1b791e07e48ULL}}, + // 10^-27 ~= 9e74d1b791e07e48775ea264cf55347dca49f1c05120c9c8 * 2^-281 + {{0x76dcb60081ce0fa6ULL, 0x8bca9d6e188853fcULL, + 0xfd87b5f28300ca0dULL}}, + // 10^-28 ~= fd87b5f28300ca0d8bca9d6e188853fc76dcb60081ce0fa6 * 2^-285 + {{0x5f16f80067d80c85ULL, 0x096ee45813a04330ULL, + 0xcad2f7f5359a3b3eULL}}, + // 10^-29 ~= cad2f7f5359a3b3e096ee45813a043305f16f80067d80c85 * 2^-288 + {{0x18df2ccd1fe00a04ULL, 0xa1258379a94d028dULL, + 0xa2425ff75e14fc31ULL}}, + // 10^-30 ~= a2425ff75e14fc31a1258379a94d028d18df2ccd1fe00a04 * 2^-291 + {{0x4718f0a419800803ULL, 0x80eacf948770ced7ULL, + 0x81ceb32c4b43fcf4ULL}}, + // 10^-31 ~= 81ceb32c4b43fcf480eacf948770ced74718f0a419800803 * 2^-294 + {{0x0b5b1aa028ccd99fULL, 0x67de18eda5814af2ULL, + 0xcfb11ead453994baULL}}, + // 10^-32 ~= cfb11ead453994ba67de18eda5814af20b5b1aa028ccd99f * 2^-298 + {{0x6f7c154ced70ae19ULL, 0xecb1ad8aeacdd58eULL, + 0xa6274bbdd0fadd61ULL}}, + // 10^-33 ~= a6274bbdd0fadd61ecb1ad8aeacdd58e6f7c154ced70ae19 * 2^-301 + {{0xbf967770bdf3be7aULL, 0xbd5af13bef0b113eULL, + 0x84ec3c97da624ab4ULL}}, + // 10^-34 ~= 84ec3c97da624ab4bd5af13bef0b113ebf967770bdf3be7a * 2^-304 + {{0x65bd8be79652ca5dULL, 0x955e4ec64b44e864ULL, + 0xd4ad2dbfc3d07787ULL}}, + // 10^-35 ~= d4ad2dbfc3d07787955e4ec64b44e86465bd8be79652ca5d * 2^-308 + {{0xeafe098611dbd517ULL, 0xdde50bd1d5d0b9e9ULL, + 0xaa242499697392d2ULL}}, + // 10^-36 ~= aa242499697392d2dde50bd1d5d0b9e9eafe098611dbd517 * 2^-311 + {{0xbbfe6e04db164413ULL, 0x7e50d64177da2e54ULL, + 0x881cea14545c7575ULL}}, + // 10^-37 ~= 881cea14545c75757e50d64177da2e54bbfe6e04db164413 * 2^-314 + {{0x2cca49a15e8a0684ULL, 0x96e7bd358c904a21ULL, + 0xd9c7dced53c72255ULL}}, + // 10^-38 ~= d9c7dced53c7225596e7bd358c904a212cca49a15e8a0684 * 2^-318 + {{0x8a3b6e1ab2080537ULL, 0xabec975e0a0d081aULL, + 0xae397d8aa96c1b77ULL}}, + // 10^-39 ~= ae397d8aa96c1b77abec975e0a0d081a8a3b6e1ab2080537 * 2^-321 + {{0x3b62be7bc1a0042cULL, 0x2323ac4b3b3da015ULL, + 0x8b61313bbabce2c6ULL}}, + // 10^-40 ~= 8b61313bbabce2c62323ac4b3b3da0153b62be7bc1a0042c * 2^-324 + {{0x5f0463f935ccd379ULL, 0x6b6c46dec52f6688ULL, + 0xdf01e85f912e37a3ULL}}, + // 10^-41 ~= df01e85f912e37a36b6c46dec52f66885f0463f935ccd379 * 2^-328 + {{0x7f36b660f7d70f94ULL, 0x55f038b237591ed3ULL, + 0xb267ed1940f1c61cULL}}, + // 10^-42 ~= b267ed1940f1c61c55f038b237591ed37f36b660f7d70f94 * 2^-331 + {{0xcc2bc51a5fdf3faaULL, 0x77f3608e92adb242ULL, + 0x8eb98a7a9a5b04e3ULL}}, + // 10^-43 ~= 8eb98a7a9a5b04e377f3608e92adb242cc2bc51a5fdf3faa * 2^-334 + {{0xe046082a32fecc42ULL, 0x8cb89a7db77c506aULL, + 0xe45c10c42a2b3b05ULL}}, + // 10^-44 ~= e45c10c42a2b3b058cb89a7db77c506ae046082a32fecc42 * 2^-338 + {{0x4d04d354f598a368ULL, 0x3d607b97c5fd0d22ULL, + 0xb6b00d69bb55c8d1ULL}}, + // 10^-45 ~= b6b00d69bb55c8d13d607b97c5fd0d224d04d354f598a368 * 2^-341 + {{0x3d9d75dd9146e920ULL, 0xcab3961304ca70e8ULL, + 0x9226712162ab070dULL}}, + // 10^-46 ~= 9226712162ab070dcab3961304ca70e83d9d75dd9146e920 * 2^-344 + {{0xc8fbefc8e8717500ULL, 0xaab8f01e6e10b4a6ULL, + 0xe9d71b689dde71afULL}}, + // 10^-47 ~= e9d71b689dde71afaab8f01e6e10b4a6c8fbefc8e8717500 * 2^-348 + {{0x3a63263a538df734ULL, 0x5560c018580d5d52ULL, + 0xbb127c53b17ec159ULL}}, + // 10^-48 ~= bb127c53b17ec1595560c018580d5d523a63263a538df734 * 2^-351 + {{0x2eb5b82ea93e5f5dULL, 0xdde7001379a44aa8ULL, + 0x95a8637627989aadULL}}, + // 10^-49 ~= 95a8637627989aaddde7001379a44aa82eb5b82ea93e5f5d * 2^-354 + {{0x4abc59e441fd6561ULL, 0x963e66858f6d4440ULL, + 0xef73d256a5c0f77cULL}}, + // 10^-50 ~= ef73d256a5c0f77c963e66858f6d44404abc59e441fd6561 * 2^-358 + {{0x6efd14b69b311de7ULL, 0xde98520472bdd033ULL, + 0xbf8fdb78849a5f96ULL}}, + // 10^-51 ~= bf8fdb78849a5f96de98520472bdd0336efd14b69b311de7 * 2^-361 + {{0x259743c548f417ecULL, 0xe546a8038efe4029ULL, + 0x993fe2c6d07b7fabULL}}, + // 10^-52 ~= 993fe2c6d07b7fabe546a8038efe4029259743c548f417ec * 2^-364 + {{0x3c25393ba7ecf313ULL, 0xd53dd99f4b3066a8ULL, + 0xf53304714d9265dfULL}}, + // 10^-53 ~= f53304714d9265dfd53dd99f4b3066a83c25393ba7ecf313 * 2^-368 + {{0x96842dc95323f5a9ULL, 0xaa97e14c3c26b886ULL, + 0xc428d05aa4751e4cULL}}, + // 10^-54 ~= c428d05aa4751e4caa97e14c3c26b88696842dc95323f5a9 * 2^-371 + {{0xab9cf16ddc1cc487ULL, 0x55464dd69685606bULL, + 0x9ced737bb6c4183dULL}}, + // 10^-55 ~= 9ced737bb6c4183d55464dd69685606bab9cf16ddc1cc487 * 2^-374 + {{0xac2e4f162cfad40bULL, 0xeed6e2f0f0d56712ULL, 0xfb158592be068d2eULL}} + // 10^-56 ~= fb158592be068d2eeed6e2f0f0d56712ac2e4f162cfad40b * 2^-378 +}; + +unsigned int Ex192m192[] = { + 3, // 195 - 192, Ex = 195 + 6, // 198 - 192, Ex = 198 + 9, // 201 - 192, Ex = 201 + 13, // 205 - 192, Ex = 205 + 16, // 208 - 192, Ex = 208 + 19, // 211 - 192, Ex = 211 + 23, // 215 - 192, Ex = 215 + 26, // 218 - 192, Ex = 218 + 29, // 221 - 192, Ex = 221 + 33, // 225 - 192, Ex = 225 + 36, // 228 - 192, Ex = 228 + 39, // 231 - 192, Ex = 231 + 43, // 235 - 192, Ex = 235 + 46, // 238 - 192, Ex = 238 + 49, // 241 - 192, Ex = 241 + 53, // 245 - 192, Ex = 245 + 56, // 248 - 192, Ex = 248 + 59, // 251 - 192, Ex = 251 + 63, // 255 - 192, Ex = 255 + 2, // 258 - 256, Ex = 258 + 5, // 261 - 256, Ex = 261 + 9, // 265 - 256, Ex = 265 + 12, // 268 - 256, Ex = 268 + 15, // 271 - 256, Ex = 271 + 19, // 275 - 256, Ex = 275 + 22, // 278 - 256, Ex = 278 + 25, // 281 - 256, Ex = 281 + 29, // 285 - 256, Ex = 285 + 32, // 288 - 256, Ex = 288 + 35, // 291 - 256, Ex = 291 + 38, // 294 - 256, Ex = 294 + 42, // 298 - 256, Ex = 298 + 45, // 301 - 256, Ex = 301 + 48, // 304 - 256, Ex = 304 + 52, // 308 - 256, Ex = 308 + 55, // 311 - 256, Ex = 311 + 58, // 314 - 256, Ex = 314 + 62, // 318 - 256, Ex = 318 + 1, // 321 - 320, Ex = 321 + 4, // 324 - 320, Ex = 324 + 8, // 328 - 320, Ex = 328 + 11, // 331 - 320, Ex = 331 + 14, // 334 - 320, Ex = 334 + 18, // 338 - 320, Ex = 338 + 21, // 341 - 320, Ex = 341 + 24, // 344 - 320, Ex = 344 + 28, // 348 - 320, Ex = 348 + 31, // 351 - 320, Ex = 351 + 34, // 354 - 320, Ex = 354 + 38, // 358 - 320, Ex = 358 + 41, // 361 - 320, Ex = 361 + 44, // 364 - 320, Ex = 364 + 48, // 368 - 320, Ex = 368 + 51, // 371 - 320, Ex = 371 + 54, // 374 - 320, Ex = 374 + 58 // 378 - 320, Ex = 378 +}; + +UINT64 half192[] = { + 0x0000000000000004ULL, // half / 2^192 = 4 + 0x0000000000000020ULL, // half / 2^192 = 20 + 0x0000000000000100ULL, // half / 2^192 = 100 + 0x0000000000001000ULL, // half / 2^192 = 1000 + 0x0000000000008000ULL, // half / 2^192 = 8000 + 0x0000000000040000ULL, // half / 2^192 = 40000 + 0x0000000000400000ULL, // half / 2^192 = 400000 + 0x0000000002000000ULL, // half / 2^192 = 2000000 + 0x0000000010000000ULL, // half / 2^192 = 10000000 + 0x0000000100000000ULL, // half / 2^192 = 100000000 + 0x0000000800000000ULL, // half / 2^192 = 800000000 + 0x0000004000000000ULL, // half / 2^192 = 4000000000 + 0x0000040000000000ULL, // half / 2^192 = 40000000000 + 0x0000200000000000ULL, // half / 2^192 = 200000000000 + 0x0001000000000000ULL, // half / 2^192 = 1000000000000 + 0x0010000000000000ULL, // half / 2^192 = 10000000000000 + 0x0080000000000000ULL, // half / 2^192 = 80000000000000 + 0x0400000000000000ULL, // half / 2^192 = 400000000000000 + 0x4000000000000000ULL, // half / 2^192 = 4000000000000000 + 0x0000000000000002ULL, // half / 2^256 = 2 + 0x0000000000000010ULL, // half / 2^256 = 10 + 0x0000000000000100ULL, // half / 2^256 = 100 + 0x0000000000000800ULL, // half / 2^256 = 800 + 0x0000000000004000ULL, // half / 2^256 = 4000 + 0x0000000000040000ULL, // half / 2^256 = 40000 + 0x0000000000200000ULL, // half / 2^256 = 200000 + 0x0000000001000000ULL, // half / 2^256 = 1000000 + 0x0000000010000000ULL, // half / 2^256 = 10000000 + 0x0000000080000000ULL, // half / 2^256 = 80000000 + 0x0000000400000000ULL, // half / 2^256 = 400000000 + 0x0000002000000000ULL, // half / 2^256 = 2000000000 + 0x0000020000000000ULL, // half / 2^256 = 20000000000 + 0x0000100000000000ULL, // half / 2^256 = 100000000000 + 0x0000800000000000ULL, // half / 2^256 = 800000000000 + 0x0008000000000000ULL, // half / 2^256 = 8000000000000 + 0x0040000000000000ULL, // half / 2^256 = 40000000000000 + 0x0200000000000000ULL, // half / 2^256 = 200000000000000 + 0x2000000000000000ULL, // half / 2^256 = 2000000000000000 + 0x0000000000000001ULL, // half / 2^320 = 1 + 0x0000000000000008ULL, // half / 2^320 = 8 + 0x0000000000000080ULL, // half / 2^320 = 80 + 0x0000000000000400ULL, // half / 2^320 = 400 + 0x0000000000002000ULL, // half / 2^320 = 2000 + 0x0000000000020000ULL, // half / 2^320 = 20000 + 0x0000000000100000ULL, // half / 2^320 = 100000 + 0x0000000000800000ULL, // half / 2^320 = 800000 + 0x0000000008000000ULL, // half / 2^320 = 8000000 + 0x0000000040000000ULL, // half / 2^320 = 40000000 + 0x0000000200000000ULL, // half / 2^320 = 200000000 + 0x0000002000000000ULL, // half / 2^320 = 2000000000 + 0x0000010000000000ULL, // half / 2^320 = 10000000000 + 0x0000080000000000ULL, // half / 2^320 = 80000000000 + 0x0000800000000000ULL, // half / 2^320 = 800000000000 + 0x0004000000000000ULL, // half / 2^320 = 4000000000000 + 0x0020000000000000ULL, // half / 2^320 = 20000000000000 + 0x0200000000000000ULL // half / 2^320 = 200000000000000 +}; + +UINT64 mask192[] = { + 0x0000000000000007ULL, // mask / 2^192 + 0x000000000000003fULL, // mask / 2^192 + 0x00000000000001ffULL, // mask / 2^192 + 0x0000000000001fffULL, // mask / 2^192 + 0x000000000000ffffULL, // mask / 2^192 + 0x000000000007ffffULL, // mask / 2^192 + 0x00000000007fffffULL, // mask / 2^192 + 0x0000000003ffffffULL, // mask / 2^192 + 0x000000001fffffffULL, // mask / 2^192 + 0x00000001ffffffffULL, // mask / 2^192 + 0x0000000fffffffffULL, // mask / 2^192 + 0x0000007fffffffffULL, // mask / 2^192 + 0x000007ffffffffffULL, // mask / 2^192 + 0x00003fffffffffffULL, // mask / 2^192 + 0x0001ffffffffffffULL, // mask / 2^192 + 0x001fffffffffffffULL, // mask / 2^192 + 0x00ffffffffffffffULL, // mask / 2^192 + 0x07ffffffffffffffULL, // mask / 2^192 + 0x7fffffffffffffffULL, // mask / 2^192 + 0x0000000000000003ULL, // mask / 2^256 + 0x000000000000001fULL, // mask / 2^256 + 0x00000000000001ffULL, // mask / 2^256 + 0x0000000000000fffULL, // mask / 2^256 + 0x0000000000007fffULL, // mask / 2^256 + 0x000000000007ffffULL, // mask / 2^256 + 0x00000000003fffffULL, // mask / 2^256 + 0x0000000001ffffffULL, // mask / 2^256 + 0x000000001fffffffULL, // mask / 2^256 + 0x00000000ffffffffULL, // mask / 2^256 + 0x00000007ffffffffULL, // mask / 2^256 + 0x0000003fffffffffULL, // mask / 2^256 + 0x000003ffffffffffULL, // mask / 2^256 + 0x00001fffffffffffULL, // mask / 2^256 + 0x0000ffffffffffffULL, // mask / 2^256 + 0x000fffffffffffffULL, // mask / 2^256 + 0x007fffffffffffffULL, // mask / 2^256 + 0x03ffffffffffffffULL, // mask / 2^256 + 0x3fffffffffffffffULL, // mask / 2^256 + 0x0000000000000001ULL, // mask / 2^320 + 0x000000000000000fULL, // mask / 2^320 + 0x00000000000000ffULL, // mask / 2^320 + 0x00000000000007ffULL, // mask / 2^320 + 0x0000000000003fffULL, // mask / 2^320 + 0x000000000003ffffULL, // mask / 2^320 + 0x00000000001fffffULL, // mask / 2^320 + 0x0000000000ffffffULL, // mask / 2^320 + 0x000000000fffffffULL, // mask / 2^320 + 0x000000007fffffffULL, // mask / 2^320 + 0x00000003ffffffffULL, // mask / 2^320 + 0x0000003fffffffffULL, // mask / 2^320 + 0x000001ffffffffffULL, // mask / 2^320 + 0x00000fffffffffffULL, // mask / 2^320 + 0x0000ffffffffffffULL, // mask / 2^320 + 0x0007ffffffffffffULL, // mask / 2^320 + 0x003fffffffffffffULL, // mask / 2^320 + 0x03ffffffffffffffULL // mask / 2^320 +}; + +UINT192 ten2mxtrunc192[] = { + {{0xccccccccccccccccULL, 0xccccccccccccccccULL, + 0xccccccccccccccccULL}}, + // (ten2mx >> 192) = cccccccccccccccccccccccccccccccccccccccccccccccc + {{0xd70a3d70a3d70a3dULL, 0x3d70a3d70a3d70a3ULL, + 0xa3d70a3d70a3d70aULL}}, + // (ten2mx >> 192) = a3d70a3d70a3d70a3d70a3d70a3d70a3d70a3d70a3d70a3d + {{0x78d4fdf3b645a1caULL, 0x645a1cac083126e9ULL, + 0x83126e978d4fdf3bULL}}, + // (ten2mx >> 192) = 83126e978d4fdf3b645a1cac083126e978d4fdf3b645a1ca + {{0xc154c985f06f6944ULL, 0xd3c36113404ea4a8ULL, + 0xd1b71758e219652bULL}}, + // (ten2mx >> 192) = d1b71758e219652bd3c36113404ea4a8c154c985f06f6944 + {{0xcddd6e04c0592103ULL, 0x0fcf80dc33721d53ULL, + 0xa7c5ac471b478423ULL}}, + // (ten2mx >> 192) = a7c5ac471b4784230fcf80dc33721d53cddd6e04c0592103 + {{0xd7e45803cd141a69ULL, 0xa63f9a49c2c1b10fULL, + 0x8637bd05af6c69b5ULL}}, + // (ten2mx >> 192) = 8637bd05af6c69b5a63f9a49c2c1b10fd7e45803cd141a69 + {{0x8ca08cd2e1b9c3dbULL, 0x3d32907604691b4cULL, + 0xd6bf94d5e57a42bcULL}}, + // (ten2mx >> 192) = d6bf94d5e57a42bc3d32907604691b4c8ca08cd2e1b9c3db + {{0x3d4d3d758161697cULL, 0xfdc20d2b36ba7c3dULL, + 0xabcc77118461cefcULL}}, + // (ten2mx >> 192) = abcc77118461cefcfdc20d2b36ba7c3d3d4d3d758161697c + {{0xfdd7645e011abac9ULL, 0x31680a88f8953030ULL, + 0x89705f4136b4a597ULL}}, + // (ten2mx >> 192) = 89705f4136b4a59731680a88f8953030fdd7645e011abac9 + {{0x2fbf06fcce912adcULL, 0xb573440e5a884d1bULL, + 0xdbe6fecebdedd5beULL}}, + // (ten2mx >> 192) = dbe6fecebdedd5beb573440e5a884d1b2fbf06fcce912adc + {{0xf2ff38ca3eda88b0ULL, 0xf78f69a51539d748ULL, + 0xafebff0bcb24aafeULL}}, + // (ten2mx >> 192) = afebff0bcb24aafef78f69a51539d748f2ff38ca3eda88b0 + {{0xf598fa3b657ba08dULL, 0xf93f87b7442e45d3ULL, + 0x8cbccc096f5088cbULL}}, + // (ten2mx >> 192) = 8cbccc096f5088cbf93f87b7442e45d3f598fa3b657ba08d + {{0x88f4c3923bf900e2ULL, 0x2865a5f206b06fb9ULL, + 0xe12e13424bb40e13ULL}}, + // (ten2mx >> 192) = e12e13424bb40e132865a5f206b06fb988f4c3923bf900e2 + {{0x6d909c74fcc733e8ULL, 0x538484c19ef38c94ULL, + 0xb424dc35095cd80fULL}}, + // (ten2mx >> 192) = b424dc35095cd80f538484c19ef38c946d909c74fcc733e8 + {{0x57a6e390ca38f653ULL, 0x0f9d37014bf60a10ULL, + 0x901d7cf73ab0acd9ULL}}, + // (ten2mx >> 192) = 901d7cf73ab0acd90f9d37014bf60a1057a6e390ca38f653 + {{0xbf716c1add27f085ULL, 0x4c2ebe687989a9b3ULL, + 0xe69594bec44de15bULL}}, + // (ten2mx >> 192) = e69594bec44de15b4c2ebe687989a9b3bf716c1add27f085 + {{0xff8df0157db98d37ULL, 0x09befeb9fad487c2ULL, + 0xb877aa3236a4b449ULL}}, + // (ten2mx >> 192) = b877aa3236a4b44909befeb9fad487c2ff8df0157db98d37 + {{0x32d7f344649470f9ULL, 0x3aff322e62439fcfULL, + 0x9392ee8e921d5d07ULL}}, + // (ten2mx >> 192) = 9392ee8e921d5d073aff322e62439fcf32d7f344649470f9 + {{0x1e2652070753e7f4ULL, 0x2b31e9e3d06c32e5ULL, + 0xec1e4a7db69561a5ULL}}, + // (ten2mx >> 192) = ec1e4a7db69561a52b31e9e3d06c32e51e2652070753e7f4 + {{0x181ea8059f76532aULL, 0x88f4bb1ca6bcf584ULL, + 0xbce5086492111aeaULL}}, + // (ten2mx >> 192) = bce5086492111aea88f4bb1ca6bcf584181ea8059f76532a + {{0x467eecd14c5ea8eeULL, 0xd3f6fc16ebca5e03ULL, + 0x971da05074da7beeULL}}, + // (ten2mx >> 192) = 971da05074da7beed3f6fc16ebca5e03467eecd14c5ea8ee + {{0x70cb148213caa7e4ULL, 0x5324c68b12dd6338ULL, + 0xf1c90080baf72cb1ULL}}, + // (ten2mx >> 192) = f1c90080baf72cb15324c68b12dd633870cb148213caa7e4 + {{0x8d6f439b43088650ULL, 0x75b7053c0f178293ULL, + 0xc16d9a0095928a27ULL}}, + // (ten2mx >> 192) = c16d9a0095928a2775b7053c0f1782938d6f439b43088650 + {{0xd78c3615cf3a050cULL, 0xc4926a9672793542ULL, + 0x9abe14cd44753b52ULL}}, + // (ten2mx >> 192) = 9abe14cd44753b52c4926a9672793542d78c3615cf3a050c + {{0x8c1389bc7ec33b47ULL, 0x3a83ddbd83f52204ULL, + 0xf79687aed3eec551ULL}}, + // (ten2mx >> 192) = f79687aed3eec5513a83ddbd83f522048c1389bc7ec33b47 + {{0x3cdc6e306568fc39ULL, 0x95364afe032a819dULL, + 0xc612062576589ddaULL}}, + // (ten2mx >> 192) = c612062576589dda95364afe032a819d3cdc6e306568fc39 + {{0xca49f1c05120c9c7ULL, 0x775ea264cf55347dULL, + 0x9e74d1b791e07e48ULL}}, + // (ten2mx >> 192) = 9e74d1b791e07e48775ea264cf55347dca49f1c05120c9c7 + {{0x76dcb60081ce0fa5ULL, 0x8bca9d6e188853fcULL, + 0xfd87b5f28300ca0dULL}}, + // (ten2mx >> 192) = fd87b5f28300ca0d8bca9d6e188853fc76dcb60081ce0fa5 + {{0x5f16f80067d80c84ULL, 0x096ee45813a04330ULL, + 0xcad2f7f5359a3b3eULL}}, + // (ten2mx >> 192) = cad2f7f5359a3b3e096ee45813a043305f16f80067d80c84 + {{0x18df2ccd1fe00a03ULL, 0xa1258379a94d028dULL, + 0xa2425ff75e14fc31ULL}}, + // (ten2mx >> 192) = a2425ff75e14fc31a1258379a94d028d18df2ccd1fe00a03 + {{0x4718f0a419800802ULL, 0x80eacf948770ced7ULL, + 0x81ceb32c4b43fcf4ULL}}, + // (ten2mx >> 192) = 81ceb32c4b43fcf480eacf948770ced74718f0a419800802 + {{0x0b5b1aa028ccd99eULL, 0x67de18eda5814af2ULL, + 0xcfb11ead453994baULL}}, + // (ten2mx >> 192) = cfb11ead453994ba67de18eda5814af20b5b1aa028ccd99e + {{0x6f7c154ced70ae18ULL, 0xecb1ad8aeacdd58eULL, + 0xa6274bbdd0fadd61ULL}}, + // (ten2mx >> 192) = a6274bbdd0fadd61ecb1ad8aeacdd58e6f7c154ced70ae18 + {{0xbf967770bdf3be79ULL, 0xbd5af13bef0b113eULL, + 0x84ec3c97da624ab4ULL}}, + // (ten2mx >> 192) = 84ec3c97da624ab4bd5af13bef0b113ebf967770bdf3be79 + {{0x65bd8be79652ca5cULL, 0x955e4ec64b44e864ULL, + 0xd4ad2dbfc3d07787ULL}}, + // (ten2mx >> 192) = d4ad2dbfc3d07787955e4ec64b44e86465bd8be79652ca5c + {{0xeafe098611dbd516ULL, 0xdde50bd1d5d0b9e9ULL, + 0xaa242499697392d2ULL}}, + // (ten2mx >> 192) = aa242499697392d2dde50bd1d5d0b9e9eafe098611dbd516 + {{0xbbfe6e04db164412ULL, 0x7e50d64177da2e54ULL, + 0x881cea14545c7575ULL}}, + // (ten2mx >> 192) = 881cea14545c75757e50d64177da2e54bbfe6e04db164412 + {{0x2cca49a15e8a0683ULL, 0x96e7bd358c904a21ULL, + 0xd9c7dced53c72255ULL}}, + // (ten2mx >> 192) = d9c7dced53c7225596e7bd358c904a212cca49a15e8a0683 + {{0x8a3b6e1ab2080536ULL, 0xabec975e0a0d081aULL, + 0xae397d8aa96c1b77ULL}}, + // (ten2mx >> 192) = ae397d8aa96c1b77abec975e0a0d081a8a3b6e1ab2080536 + {{0x3b62be7bc1a0042bULL, 0x2323ac4b3b3da015ULL, + 0x8b61313bbabce2c6ULL}}, + // (ten2mx >> 192) = 8b61313bbabce2c62323ac4b3b3da0153b62be7bc1a0042b + {{0x5f0463f935ccd378ULL, 0x6b6c46dec52f6688ULL, + 0xdf01e85f912e37a3ULL}}, + // (ten2mx >> 192) = df01e85f912e37a36b6c46dec52f66885f0463f935ccd378 + {{0x7f36b660f7d70f93ULL, 0x55f038b237591ed3ULL, + 0xb267ed1940f1c61cULL}}, + // (ten2mx >> 192) = b267ed1940f1c61c55f038b237591ed37f36b660f7d70f93 + {{0xcc2bc51a5fdf3fa9ULL, 0x77f3608e92adb242ULL, + 0x8eb98a7a9a5b04e3ULL}}, + // (ten2mx >> 192) = 8eb98a7a9a5b04e377f3608e92adb242cc2bc51a5fdf3fa9 + {{0xe046082a32fecc41ULL, 0x8cb89a7db77c506aULL, + 0xe45c10c42a2b3b05ULL}}, + // (ten2mx >> 192) = e45c10c42a2b3b058cb89a7db77c506ae046082a32fecc41 + {{0x4d04d354f598a367ULL, 0x3d607b97c5fd0d22ULL, + 0xb6b00d69bb55c8d1ULL}}, + // (ten2mx >> 192) = b6b00d69bb55c8d13d607b97c5fd0d224d04d354f598a367 + {{0x3d9d75dd9146e91fULL, 0xcab3961304ca70e8ULL, + 0x9226712162ab070dULL}}, + // (ten2mx >> 192) = 9226712162ab070dcab3961304ca70e83d9d75dd9146e91f + {{0xc8fbefc8e87174ffULL, 0xaab8f01e6e10b4a6ULL, + 0xe9d71b689dde71afULL}}, + // (ten2mx >> 192) = e9d71b689dde71afaab8f01e6e10b4a6c8fbefc8e87174ff + {{0x3a63263a538df733ULL, 0x5560c018580d5d52ULL, + 0xbb127c53b17ec159ULL}}, + // (ten2mx >> 192) = bb127c53b17ec1595560c018580d5d523a63263a538df733 + {{0x2eb5b82ea93e5f5cULL, 0xdde7001379a44aa8ULL, + 0x95a8637627989aadULL}}, + // (ten2mx >> 192) = 95a8637627989aaddde7001379a44aa82eb5b82ea93e5f5c + {{0x4abc59e441fd6560ULL, 0x963e66858f6d4440ULL, + 0xef73d256a5c0f77cULL}}, + // (ten2mx >> 192) = ef73d256a5c0f77c963e66858f6d44404abc59e441fd6560 + {{0x6efd14b69b311de6ULL, 0xde98520472bdd033ULL, + 0xbf8fdb78849a5f96ULL}}, + // (ten2mx >> 192) = bf8fdb78849a5f96de98520472bdd0336efd14b69b311de6 + {{0x259743c548f417ebULL, 0xe546a8038efe4029ULL, + 0x993fe2c6d07b7fabULL}}, + // (ten2mx >> 192) = 993fe2c6d07b7fabe546a8038efe4029259743c548f417eb + {{0x3c25393ba7ecf312ULL, 0xd53dd99f4b3066a8ULL, + 0xf53304714d9265dfULL}}, + // (ten2mx >> 192) = f53304714d9265dfd53dd99f4b3066a83c25393ba7ecf312 + {{0x96842dc95323f5a8ULL, 0xaa97e14c3c26b886ULL, + 0xc428d05aa4751e4cULL}}, + // (ten2mx >> 192) = c428d05aa4751e4caa97e14c3c26b88696842dc95323f5a8 + {{0xab9cf16ddc1cc486ULL, 0x55464dd69685606bULL, + 0x9ced737bb6c4183dULL}}, + // (ten2mx >> 192) = 9ced737bb6c4183d55464dd69685606bab9cf16ddc1cc486 + {{0xac2e4f162cfad40aULL, 0xeed6e2f0f0d56712ULL, 0xfb158592be068d2eULL}} + // (ten2mx >> 192) = fb158592be068d2eeed6e2f0f0d56712ac2e4f162cfad40a +}; + +UINT256 Kx256[] = { + {{0xcccccccccccccccdULL, 0xccccccccccccccccULL, + 0xccccccccccccccccULL, 0xccccccccccccccccULL}}, + // 10^-1 ~= cccccccccccccccc cccccccccccccccc + // cccccccccccccccccccccccccccccccd * 2^-259 + {{0x70a3d70a3d70a3d8ULL, 0xd70a3d70a3d70a3dULL, + 0x3d70a3d70a3d70a3ULL, 0xa3d70a3d70a3d70aULL}}, + // 10^-2 ~= a3d70a3d70a3d70a 3d70a3d70a3d70a3 + // d70a3d70a3d70a3d70a3d70a3d70a3d8 * 2^-262 + {{0xc083126e978d4fe0ULL, 0x78d4fdf3b645a1caULL, + 0x645a1cac083126e9ULL, 0x83126e978d4fdf3bULL}}, + // 10^-3 ~= 83126e978d4fdf3b 645a1cac083126e9 + // 78d4fdf3b645a1cac083126e978d4fe0 * 2^-265 + {{0x67381d7dbf487fccULL, 0xc154c985f06f6944ULL, + 0xd3c36113404ea4a8ULL, 0xd1b71758e219652bULL}}, + // 10^-4 ~= d1b71758e219652b d3c36113404ea4a8 + // c154c985f06f694467381d7dbf487fcc * 2^-269 + {{0x85c67dfe32a0663dULL, 0xcddd6e04c0592103ULL, + 0x0fcf80dc33721d53ULL, 0xa7c5ac471b478423ULL}}, + // 10^-5 ~= a7c5ac471b478423 fcf80dc33721d53 + // cddd6e04c059210385c67dfe32a0663d * 2^-272 + {{0x37d1fe64f54d1e97ULL, 0xd7e45803cd141a69ULL, + 0xa63f9a49c2c1b10fULL, 0x8637bd05af6c69b5ULL}}, + // 10^-6 ~= 8637bd05af6c69b5 a63f9a49c2c1b10f + // d7e45803cd141a6937d1fe64f54d1e97 * 2^-275 + {{0x8c8330a1887b6425ULL, 0x8ca08cd2e1b9c3dbULL, + 0x3d32907604691b4cULL, 0xd6bf94d5e57a42bcULL}}, + // 10^-7 ~= d6bf94d5e57a42bc 3d32907604691b4c + // 8ca08cd2e1b9c3db8c8330a1887b6425 * 2^-279 + {{0x7068f3b46d2f8351ULL, 0x3d4d3d758161697cULL, + 0xfdc20d2b36ba7c3dULL, 0xabcc77118461cefcULL}}, + // 10^-8 ~= abcc77118461cefc fdc20d2b36ba7c3d + // 3d4d3d758161697c7068f3b46d2f8351 * 2^-282 + {{0xf387295d242602a7ULL, 0xfdd7645e011abac9ULL, + 0x31680a88f8953030ULL, 0x89705f4136b4a597ULL}}, + // 10^-9 ~= 89705f4136b4a597 31680a88f8953030 + // fdd7645e011abac9f387295d242602a7 * 2^-285 + {{0xb8d8422ea03cd10bULL, 0x2fbf06fcce912adcULL, + 0xb573440e5a884d1bULL, 0xdbe6fecebdedd5beULL}}, + // 10^-10 ~= dbe6fecebdedd5be b573440e5a884d1b + // 2fbf06fcce912adcb8d8422ea03cd10b * 2^-289 + {{0x93e034f219ca40d6ULL, 0xf2ff38ca3eda88b0ULL, + 0xf78f69a51539d748ULL, 0xafebff0bcb24aafeULL}}, + // 10^-11 ~= afebff0bcb24aafe f78f69a51539d748 + // f2ff38ca3eda88b093e034f219ca40d6 * 2^-292 + {{0x4319c3f4e16e9a45ULL, 0xf598fa3b657ba08dULL, + 0xf93f87b7442e45d3ULL, 0x8cbccc096f5088cbULL}}, + // 10^-12 ~= 8cbccc096f5088cb f93f87b7442e45d3 + // f598fa3b657ba08d4319c3f4e16e9a45 * 2^-295 + {{0x04f606549be42a07ULL, 0x88f4c3923bf900e2ULL, + 0x2865a5f206b06fb9ULL, 0xe12e13424bb40e13ULL}}, + // 10^-13 ~= e12e13424bb40e13 2865a5f206b06fb9 + // 88f4c3923bf900e204f606549be42a07 * 2^-299 + {{0x03f805107cb68806ULL, 0x6d909c74fcc733e8ULL, + 0x538484c19ef38c94ULL, 0xb424dc35095cd80fULL}}, + // 10^-14 ~= b424dc35095cd80f 538484c19ef38c94 + // 6d909c74fcc733e803f805107cb68806 * 2^-302 + {{0x3660040d3092066bULL, 0x57a6e390ca38f653ULL, + 0x0f9d37014bf60a10ULL, 0x901d7cf73ab0acd9ULL}}, + // 10^-15 ~= 901d7cf73ab0acd9 f9d37014bf60a10 + // 57a6e390ca38f6533660040d3092066b * 2^-305 + {{0x23ccd3484db670abULL, 0xbf716c1add27f085ULL, + 0x4c2ebe687989a9b3ULL, 0xe69594bec44de15bULL}}, + // 10^-16 ~= e69594bec44de15b 4c2ebe687989a9b3 + // bf716c1add27f08523ccd3484db670ab * 2^-309 + {{0x4fd70f6d0af85a23ULL, 0xff8df0157db98d37ULL, + 0x09befeb9fad487c2ULL, 0xb877aa3236a4b449ULL}}, + // 10^-17 ~= b877aa3236a4b449 9befeb9fad487c2 + // ff8df0157db98d374fd70f6d0af85a23 * 2^-312 + {{0x0cac0c573bf9e1b6ULL, 0x32d7f344649470f9ULL, + 0x3aff322e62439fcfULL, 0x9392ee8e921d5d07ULL}}, + // 10^-18 ~= 9392ee8e921d5d07 3aff322e62439fcf + // 32d7f344649470f90cac0c573bf9e1b6 * 2^-315 + {{0xe11346f1f98fcf89ULL, 0x1e2652070753e7f4ULL, + 0x2b31e9e3d06c32e5ULL, 0xec1e4a7db69561a5ULL}}, + // 10^-19 ~= ec1e4a7db69561a5 2b31e9e3d06c32e5 + // 1e2652070753e7f4e11346f1f98fcf89 * 2^-319 + {{0x4da9058e613fd93aULL, 0x181ea8059f76532aULL, + 0x88f4bb1ca6bcf584ULL, 0xbce5086492111aeaULL}}, + // 10^-20 ~= bce5086492111aea 88f4bb1ca6bcf584 + // 181ea8059f76532a4da9058e613fd93a * 2^-322 + {{0xa48737a51a997a95ULL, 0x467eecd14c5ea8eeULL, + 0xd3f6fc16ebca5e03ULL, 0x971da05074da7beeULL}}, + // 10^-21 ~= 971da05074da7bee d3f6fc16ebca5e03 + // 467eecd14c5ea8eea48737a51a997a95 * 2^-325 + {{0x3a71f2a1c428c421ULL, 0x70cb148213caa7e4ULL, + 0x5324c68b12dd6338ULL, 0xf1c90080baf72cb1ULL}}, + // 10^-22 ~= f1c90080baf72cb1 5324c68b12dd6338 + // 70cb148213caa7e43a71f2a1c428c421 * 2^-329 + {{0x2ec18ee7d0209ce8ULL, 0x8d6f439b43088650ULL, + 0x75b7053c0f178293ULL, 0xc16d9a0095928a27ULL}}, + // 10^-23 ~= c16d9a0095928a27 75b7053c0f178293 + // 8d6f439b430886502ec18ee7d0209ce8 * 2^-332 + {{0xf23472530ce6e3edULL, 0xd78c3615cf3a050cULL, + 0xc4926a9672793542ULL, 0x9abe14cd44753b52ULL}}, + // 10^-24 ~= 9abe14cd44753b52 c4926a9672793542 + // d78c3615cf3a050cf23472530ce6e3ed * 2^-335 + {{0xe9ed83b814a49fe1ULL, 0x8c1389bc7ec33b47ULL, + 0x3a83ddbd83f52204ULL, 0xf79687aed3eec551ULL}}, + // 10^-25 ~= f79687aed3eec551 3a83ddbd83f52204 + // 8c1389bc7ec33b47e9ed83b814a49fe1 * 2^-339 + {{0x87f1362cdd507fe7ULL, 0x3cdc6e306568fc39ULL, + 0x95364afe032a819dULL, 0xc612062576589ddaULL}}, + // 10^-26 ~= c612062576589dda 95364afe032a819d + // 3cdc6e306568fc3987f1362cdd507fe7 * 2^-342 + {{0x9ff42b5717739986ULL, 0xca49f1c05120c9c7ULL, + 0x775ea264cf55347dULL, 0x9e74d1b791e07e48ULL}}, + // 10^-27 ~= 9e74d1b791e07e48 775ea264cf55347d + // ca49f1c05120c9c79ff42b5717739986 * 2^-345 + {{0xccb9def1bf1f5c09ULL, 0x76dcb60081ce0fa5ULL, + 0x8bca9d6e188853fcULL, 0xfd87b5f28300ca0dULL}}, + // 10^-28 ~= fd87b5f28300ca0d 8bca9d6e188853fc + // 76dcb60081ce0fa5ccb9def1bf1f5c09 * 2^-349 + {{0xa3c7e58e327f7cd4ULL, 0x5f16f80067d80c84ULL, + 0x096ee45813a04330ULL, 0xcad2f7f5359a3b3eULL}}, + // 10^-29 ~= cad2f7f5359a3b3e 96ee45813a04330 + // 5f16f80067d80c84a3c7e58e327f7cd4 * 2^-352 + {{0xb6398471c1ff9710ULL, 0x18df2ccd1fe00a03ULL, + 0xa1258379a94d028dULL, 0xa2425ff75e14fc31ULL}}, + // 10^-30 ~= a2425ff75e14fc31 a1258379a94d028d + // 18df2ccd1fe00a03b6398471c1ff9710 * 2^-355 + {{0xf82e038e34cc78daULL, 0x4718f0a419800802ULL, + 0x80eacf948770ced7ULL, 0x81ceb32c4b43fcf4ULL}}, + // 10^-31 ~= 81ceb32c4b43fcf4 80eacf948770ced7 + // 4718f0a419800802f82e038e34cc78da * 2^-358 + {{0x59e338e387ad8e29ULL, 0x0b5b1aa028ccd99eULL, + 0x67de18eda5814af2ULL, 0xcfb11ead453994baULL}}, + // 10^-32 ~= cfb11ead453994ba 67de18eda5814af2 + // b5b1aa028ccd99e59e338e387ad8e29 * 2^-362 + {{0x47e8fa4f9fbe0b54ULL, 0x6f7c154ced70ae18ULL, + 0xecb1ad8aeacdd58eULL, 0xa6274bbdd0fadd61ULL}}, + // 10^-33 ~= a6274bbdd0fadd61 ecb1ad8aeacdd58e + // 6f7c154ced70ae1847e8fa4f9fbe0b54 * 2^-365 + {{0xd320c83fb2fe6f76ULL, 0xbf967770bdf3be79ULL, + 0xbd5af13bef0b113eULL, 0x84ec3c97da624ab4ULL}}, + // 10^-34 ~= 84ec3c97da624ab4 bd5af13bef0b113e + // bf967770bdf3be79d320c83fb2fe6f76 * 2^-368 + {{0x85014065eb30b257ULL, 0x65bd8be79652ca5cULL, + 0x955e4ec64b44e864ULL, 0xd4ad2dbfc3d07787ULL}}, + // 10^-35 ~= d4ad2dbfc3d07787 955e4ec64b44e864 + // 65bd8be79652ca5c85014065eb30b257 * 2^-372 + {{0xd0cdcd1e55c08eacULL, 0xeafe098611dbd516ULL, + 0xdde50bd1d5d0b9e9ULL, 0xaa242499697392d2ULL}}, + // 10^-36 ~= aa242499697392d2 dde50bd1d5d0b9e9 + // eafe098611dbd516d0cdcd1e55c08eac * 2^-375 + {{0x40a4a418449a0bbdULL, 0xbbfe6e04db164412ULL, + 0x7e50d64177da2e54ULL, 0x881cea14545c7575ULL}}, + // 10^-37 ~= 881cea14545c7575 7e50d64177da2e54 + // bbfe6e04db16441240a4a418449a0bbd * 2^-378 + {{0x9aa1068d3a9012c8ULL, 0x2cca49a15e8a0683ULL, + 0x96e7bd358c904a21ULL, 0xd9c7dced53c72255ULL}}, + // 10^-38 ~= d9c7dced53c72255 96e7bd358c904a21 + // 2cca49a15e8a06839aa1068d3a9012c8 * 2^-382 + {{0x154d9ed7620cdbd3ULL, 0x8a3b6e1ab2080536ULL, + 0xabec975e0a0d081aULL, 0xae397d8aa96c1b77ULL}}, + // 10^-39 ~= ae397d8aa96c1b77 abec975e0a0d081a + // 8a3b6e1ab2080536154d9ed7620cdbd3 * 2^-385 + {{0x443e18ac4e70afdcULL, 0x3b62be7bc1a0042bULL, + 0x2323ac4b3b3da015ULL, 0x8b61313bbabce2c6ULL}}, + // 10^-40 ~= 8b61313bbabce2c6 2323ac4b3b3da015 + // 3b62be7bc1a0042b443e18ac4e70afdc * 2^-388 + {{0x6d30277a171ab2f9ULL, 0x5f0463f935ccd378ULL, + 0x6b6c46dec52f6688ULL, 0xdf01e85f912e37a3ULL}}, + // 10^-41 ~= df01e85f912e37a3 6b6c46dec52f6688 + // 5f0463f935ccd3786d30277a171ab2f9 * 2^-392 + {{0x8a8cec61ac155bfbULL, 0x7f36b660f7d70f93ULL, + 0x55f038b237591ed3ULL, 0xb267ed1940f1c61cULL}}, + // 10^-42 ~= b267ed1940f1c61c 55f038b237591ed3 + // 7f36b660f7d70f938a8cec61ac155bfb * 2^-395 + {{0x3ba3f04e23444996ULL, 0xcc2bc51a5fdf3fa9ULL, + 0x77f3608e92adb242ULL, 0x8eb98a7a9a5b04e3ULL}}, + // 10^-43 ~= 8eb98a7a9a5b04e3 77f3608e92adb242 + // cc2bc51a5fdf3fa93ba3f04e23444996 * 2^-398 + {{0xf9064d49d206dc22ULL, 0xe046082a32fecc41ULL, + 0x8cb89a7db77c506aULL, 0xe45c10c42a2b3b05ULL}}, + // 10^-44 ~= e45c10c42a2b3b05 8cb89a7db77c506a + // e046082a32fecc41f9064d49d206dc22 * 2^-402 + {{0xfa6b7107db38b01bULL, 0x4d04d354f598a367ULL, + 0x3d607b97c5fd0d22ULL, 0xb6b00d69bb55c8d1ULL}}, + // 10^-45 ~= b6b00d69bb55c8d1 3d607b97c5fd0d22 + // 4d04d354f598a367fa6b7107db38b01b * 2^-405 + {{0xfb8927397c2d59b0ULL, 0x3d9d75dd9146e91fULL, + 0xcab3961304ca70e8ULL, 0x9226712162ab070dULL}}, + // 10^-46 ~= 9226712162ab070d cab3961304ca70e8 + // 3d9d75dd9146e91ffb8927397c2d59b0 * 2^-408 + {{0xf8db71f5937bc2b2ULL, 0xc8fbefc8e87174ffULL, + 0xaab8f01e6e10b4a6ULL, 0xe9d71b689dde71afULL}}, + // 10^-47 ~= e9d71b689dde71af aab8f01e6e10b4a6 + // c8fbefc8e87174fff8db71f5937bc2b2 * 2^-412 + {{0x2d7c5b2adc630228ULL, 0x3a63263a538df733ULL, + 0x5560c018580d5d52ULL, 0xbb127c53b17ec159ULL}}, + // 10^-48 ~= bb127c53b17ec159 5560c018580d5d52 + // 3a63263a538df7332d7c5b2adc630228 * 2^-415 + {{0x24637c2249e8ce87ULL, 0x2eb5b82ea93e5f5cULL, + 0xdde7001379a44aa8ULL, 0x95a8637627989aadULL}}, + // 10^-49 ~= 95a8637627989aad dde7001379a44aa8 + // 2eb5b82ea93e5f5c24637c2249e8ce87 * 2^-418 + {{0x3a38c69d430e173eULL, 0x4abc59e441fd6560ULL, + 0x963e66858f6d4440ULL, 0xef73d256a5c0f77cULL}}, + // 10^-50 ~= ef73d256a5c0f77c 963e66858f6d4440 + // 4abc59e441fd65603a38c69d430e173e * 2^-422 + {{0x94fa387dcf3e78feULL, 0x6efd14b69b311de6ULL, + 0xde98520472bdd033ULL, 0xbf8fdb78849a5f96ULL}}, + // 10^-51 ~= bf8fdb78849a5f96 de98520472bdd033 + // 6efd14b69b311de694fa387dcf3e78fe * 2^-425 + {{0xaa61c6cb0c31fa65ULL, 0x259743c548f417ebULL, + 0xe546a8038efe4029ULL, 0x993fe2c6d07b7fabULL}}, + // 10^-52 ~= 993fe2c6d07b7fab e546a8038efe4029 + // 259743c548f417ebaa61c6cb0c31fa65 * 2^-428 + {{0xaa360ade79e990a2ULL, 0x3c25393ba7ecf312ULL, + 0xd53dd99f4b3066a8ULL, 0xf53304714d9265dfULL}}, + // 10^-53 ~= f53304714d9265df d53dd99f4b3066a8 + // 3c25393ba7ecf312aa360ade79e990a2 * 2^-432 + {{0x882b3be52e5473b5ULL, 0x96842dc95323f5a8ULL, + 0xaa97e14c3c26b886ULL, 0xc428d05aa4751e4cULL}}, + // 10^-54 ~= c428d05aa4751e4c aa97e14c3c26b886 + // 96842dc95323f5a8882b3be52e5473b5 * 2^-435 + {{0xd355c98425105c91ULL, 0xab9cf16ddc1cc486ULL, + 0x55464dd69685606bULL, 0x9ced737bb6c4183dULL}}, + // 10^-55 ~= 9ced737bb6c4183d 55464dd69685606b + // ab9cf16ddc1cc486d355c98425105c91 * 2^-438 + {{0xebbc75a03b4d60e7ULL, 0xac2e4f162cfad40aULL, + 0xeed6e2f0f0d56712ULL, 0xfb158592be068d2eULL}}, + // 10^-56 ~= fb158592be068d2e eed6e2f0f0d56712 + // ac2e4f162cfad40aebbc75a03b4d60e7 * 2^-442 + {{0x8963914cfc3de71fULL, 0x568b727823fbdcd5ULL, + 0xf245825a5a445275ULL, 0xc8de047564d20a8bULL}}, + // 10^-57 ~= c8de047564d20a8b f245825a5a445275 + // 568b727823fbdcd58963914cfc3de71f * 2^-445 + {{0xd44fa770c9cb1f4cULL, 0x453c5b934ffcb0aaULL, + 0x5b6aceaeae9d0ec4ULL, 0xa0b19d2ab70e6ed6ULL}}, + // 10^-58 ~= a0b19d2ab70e6ed6 5b6aceaeae9d0ec4 + // 453c5b934ffcb0aad44fa770c9cb1f4c * 2^-448 + {{0xdd0c85f3d4a27f70ULL, 0x37637c75d996f3bbULL, + 0xe2bbd88bbee40bd0ULL, 0x808e17555f3ebf11ULL}}, + // 10^-59 ~= 808e17555f3ebf11 e2bbd88bbee40bd0 + // 37637c75d996f3bbdd0c85f3d4a27f70 * 2^-451 + {{0x61ada31fba9d98b3ULL, 0x256bfa5628f185f9ULL, + 0x3792f412cb06794dULL, 0xcdb02555653131b6ULL}}, + // 10^-60 ~= cdb02555653131b6 3792f412cb06794d + // 256bfa5628f185f961ada31fba9d98b3 * 2^-455 + {{0xe7be1c196217ad5cULL, 0x51232eab53f46b2dULL, + 0x5fa8c3423c052dd7ULL, 0xa48ceaaab75a8e2bULL}}, + // 10^-61 ~= a48ceaaab75a8e2b 5fa8c3423c052dd7 + // 51232eab53f46b2de7be1c196217ad5c * 2^-458 + {{0x52fe7ce11b46244aULL, 0x40e8f222a99055beULL, + 0x1953cf68300424acULL, 0x83a3eeeef9153e89ULL}}, + // 10^-62 ~= 83a3eeeef9153e89 1953cf68300424ac + // 40e8f222a99055be52fe7ce11b46244a * 2^-461 + {{0x51972e34f8703a10ULL, 0x34a7e9d10f4d55fdULL, + 0x8eec7f0d19a03aadULL, 0xd29fe4b18e88640eULL}}, + // 10^-63 ~= d29fe4b18e88640e 8eec7f0d19a03aad + // 34a7e9d10f4d55fd51972e34f8703a10 * 2^-465 + {{0x0e128b5d938cfb40ULL, 0x2a1fee40d90aab31ULL, + 0x3f2398d747b36224ULL, 0xa87fea27a539e9a5ULL}}, + // 10^-64 ~= a87fea27a539e9a5 3f2398d747b36224 + // 2a1fee40d90aab310e128b5d938cfb40 * 2^-468 + {{0x3e753c4adc70c900ULL, 0xbb4cbe9a473bbc27ULL, + 0x98e947129fc2b4e9ULL, 0x86ccbb52ea94baeaULL}}, + // 10^-65 ~= 86ccbb52ea94baea 98e947129fc2b4e9 + // bb4cbe9a473bbc273e753c4adc70c900 * 2^-471 + {{0x30bb93aafa4e0e66ULL, 0x9214642a0b92c6a5ULL, + 0x5b0ed81dcc6abb0fULL, 0xd7adf884aa879177ULL}}, + // 10^-66 ~= d7adf884aa879177 5b0ed81dcc6abb0f + // 9214642a0b92c6a530bb93aafa4e0e66 * 2^-475 + {{0xc0960fbbfb71a51fULL, 0xa8105021a2dbd21dULL, + 0xe272467e3d222f3fULL, 0xac8b2d36eed2dac5ULL}}, + // 10^-67 ~= ac8b2d36eed2dac5 e272467e3d222f3f + // a8105021a2dbd21dc0960fbbfb71a51f * 2^-478 + {{0x66de72fcc927b74cULL, 0xb9a6a6814f1641b1ULL, + 0x1b8e9ecb641b58ffULL, 0x8a08f0f8bf0f156bULL}}, + // 10^-68 ~= 8a08f0f8bf0f156b 1b8e9ecb641b58ff + // b9a6a6814f1641b166de72fcc927b74c * 2^-481 + {{0xd7ca5194750c5879ULL, 0xf5d770cee4f0691bULL, + 0xf8e431456cf88e65ULL, 0xdcdb1b2798182244ULL}}, + // 10^-69 ~= dcdb1b2798182244 f8e431456cf88e65 + // f5d770cee4f0691bd7ca5194750c5879 * 2^-485 + {{0xdfd50e105da379faULL, 0x9179270bea59edafULL, + 0x2d835a9df0c6d851ULL, 0xb0af48ec79ace837ULL}}, + // 10^-70 ~= b0af48ec79ace837 2d835a9df0c6d851 + // 9179270bea59edafdfd50e105da379fa * 2^-488 + {{0x19773e737e1c6195ULL, 0x0dfa85a321e18af3ULL, + 0x579c487e5a38ad0eULL, 0x8d590723948a535fULL}}, + // 10^-71 ~= 8d590723948a535f 579c487e5a38ad0e + // dfa85a321e18af319773e737e1c6195 * 2^-491 + {{0xf58b971f302d68efULL, 0x165da29e9c9c1184ULL, + 0x25c6da63c38de1b0ULL, 0xe2280b6c20dd5232ULL}}, + // 10^-72 ~= e2280b6c20dd5232 25c6da63c38de1b0 + // 165da29e9c9c1184f58b971f302d68ef * 2^-495 + {{0xc46fac18f3578725ULL, 0x4517b54bb07cdad0ULL, + 0x1e38aeb6360b1af3ULL, 0xb4ecd5f01a4aa828ULL}}, + // 10^-73 ~= b4ecd5f01a4aa828 1e38aeb6360b1af3 + // 4517b54bb07cdad0c46fac18f3578725 * 2^-498 + {{0x36bfbce0c2ac6c1eULL, 0x9dac910959fd7bdaULL, + 0xb1c6f22b5e6f48c2ULL, 0x90bd77f3483bb9b9ULL}}, + // 10^-74 ~= 90bd77f3483bb9b9 b1c6f22b5e6f48c2 + // 9dac910959fd7bda36bfbce0c2ac6c1e * 2^-501 + {{0x2465fb01377a4696ULL, 0x2f7a81a88ffbf95dULL, + 0xb60b1d1230b20e04ULL, 0xe7958cb87392c2c2ULL}} + // 10^-75 ~= e7958cb87392c2c2 b60b1d1230b20e04 + // 2f7a81a88ffbf95d2465fb01377a4696 * 2^-505 +}; + +unsigned int Ex256m256[] = { + 3, // 259 - 256, Ex = 259 + 6, // 262 - 256, Ex = 262 + 9, // 265 - 256, Ex = 265 + 13, // 269 - 256, Ex = 269 + 16, // 272 - 256, Ex = 272 + 19, // 275 - 256, Ex = 275 + 23, // 279 - 256, Ex = 279 + 26, // 282 - 256, Ex = 282 + 29, // 285 - 256, Ex = 285 + 33, // 289 - 256, Ex = 289 + 36, // 292 - 256, Ex = 292 + 39, // 295 - 256, Ex = 295 + 43, // 299 - 256, Ex = 299 + 46, // 302 - 256, Ex = 302 + 49, // 305 - 256, Ex = 305 + 53, // 309 - 256, Ex = 309 + 56, // 312 - 256, Ex = 312 + 59, // 315 - 256, Ex = 315 + 63, // 319 - 256, Ex = 319 + 2, // 322 - 320, Ex = 322 + 5, // 325 - 320, Ex = 325 + 9, // 329 - 320, Ex = 329 + 12, // 332 - 320, Ex = 332 + 15, // 335 - 320, Ex = 335 + 19, // 339 - 320, Ex = 339 + 22, // 342 - 320, Ex = 342 + 25, // 345 - 320, Ex = 345 + 29, // 349 - 320, Ex = 349 + 32, // 352 - 320, Ex = 352 + 35, // 355 - 320, Ex = 355 + 38, // 358 - 320, Ex = 358 + 42, // 362 - 320, Ex = 362 + 45, // 365 - 320, Ex = 365 + 48, // 368 - 320, Ex = 368 + 52, // 372 - 320, Ex = 372 + 55, // 375 - 320, Ex = 375 + 58, // 378 - 320, Ex = 378 + 62, // 382 - 320, Ex = 382 + 1, // 385 - 384, Ex = 385 + 4, // 388 - 384, Ex = 388 + 8, // 392 - 384, Ex = 392 + 11, // 395 - 384, Ex = 395 + 14, // 398 - 384, Ex = 398 + 18, // 402 - 384, Ex = 402 + 21, // 405 - 384, Ex = 405 + 24, // 408 - 384, Ex = 408 + 28, // 412 - 384, Ex = 412 + 31, // 415 - 384, Ex = 415 + 34, // 418 - 384, Ex = 418 + 38, // 422 - 384, Ex = 422 + 41, // 425 - 384, Ex = 425 + 44, // 428 - 384, Ex = 428 + 48, // 432 - 384, Ex = 432 + 51, // 435 - 384, Ex = 435 + 54, // 438 - 384, Ex = 438 + 58, // 442 - 384, Ex = 442 + 61, // 445 - 384, Ex = 445 + 0, // 448 - 448, Ex = 448 + 3, // 451 - 448, Ex = 451 + 7, // 455 - 448, Ex = 455 + 10, // 458 - 448, Ex = 458 + 13, // 461 - 448, Ex = 461 + 17, // 465 - 448, Ex = 465 + 20, // 468 - 448, Ex = 468 + 23, // 471 - 448, Ex = 471 + 27, // 475 - 448, Ex = 475 + 30, // 478 - 448, Ex = 478 + 33, // 481 - 448, Ex = 481 + 37, // 485 - 448, Ex = 485 + 40, // 488 - 448, Ex = 488 + 43, // 491 - 448, Ex = 491 + 47, // 495 - 448, Ex = 495 + 50, // 498 - 448, Ex = 498 + 53, // 501 - 448, Ex = 501 + 57 // 505 - 448, Ex = 505 +}; + +UINT64 half256[] = { + 0x0000000000000004ULL, // half / 2^256 = 4 + 0x0000000000000020ULL, // half / 2^256 = 20 + 0x0000000000000100ULL, // half / 2^256 = 100 + 0x0000000000001000ULL, // half / 2^256 = 1000 + 0x0000000000008000ULL, // half / 2^256 = 8000 + 0x0000000000040000ULL, // half / 2^256 = 40000 + 0x0000000000400000ULL, // half / 2^256 = 400000 + 0x0000000002000000ULL, // half / 2^256 = 2000000 + 0x0000000010000000ULL, // half / 2^256 = 10000000 + 0x0000000100000000ULL, // half / 2^256 = 100000000 + 0x0000000800000000ULL, // half / 2^256 = 800000000 + 0x0000004000000000ULL, // half / 2^256 = 4000000000 + 0x0000040000000000ULL, // half / 2^256 = 40000000000 + 0x0000200000000000ULL, // half / 2^256 = 200000000000 + 0x0001000000000000ULL, // half / 2^256 = 1000000000000 + 0x0010000000000000ULL, // half / 2^256 = 10000000000000 + 0x0080000000000000ULL, // half / 2^256 = 80000000000000 + 0x0400000000000000ULL, // half / 2^256 = 400000000000000 + 0x4000000000000000ULL, // half / 2^256 = 4000000000000000 + 0x0000000000000002ULL, // half / 2^320 = 2 + 0x0000000000000010ULL, // half / 2^320 = 10 + 0x0000000000000100ULL, // half / 2^320 = 100 + 0x0000000000000800ULL, // half / 2^320 = 800 + 0x0000000000004000ULL, // half / 2^320 = 4000 + 0x0000000000040000ULL, // half / 2^320 = 40000 + 0x0000000000200000ULL, // half / 2^320 = 200000 + 0x0000000001000000ULL, // half / 2^320 = 1000000 + 0x0000000010000000ULL, // half / 2^320 = 10000000 + 0x0000000080000000ULL, // half / 2^320 = 80000000 + 0x0000000400000000ULL, // half / 2^320 = 400000000 + 0x0000002000000000ULL, // half / 2^320 = 2000000000 + 0x0000020000000000ULL, // half / 2^320 = 20000000000 + 0x0000100000000000ULL, // half / 2^320 = 100000000000 + 0x0000800000000000ULL, // half / 2^320 = 800000000000 + 0x0008000000000000ULL, // half / 2^320 = 8000000000000 + 0x0040000000000000ULL, // half / 2^320 = 40000000000000 + 0x0200000000000000ULL, // half / 2^320 = 200000000000000 + 0x2000000000000000ULL, // half / 2^320 = 2000000000000000 + 0x0000000000000001ULL, // half / 2^384 = 1 + 0x0000000000000008ULL, // half / 2^384 = 8 + 0x0000000000000080ULL, // half / 2^384 = 80 + 0x0000000000000400ULL, // half / 2^384 = 400 + 0x0000000000002000ULL, // half / 2^384 = 2000 + 0x0000000000020000ULL, // half / 2^384 = 20000 + 0x0000000000100000ULL, // half / 2^384 = 100000 + 0x0000000000800000ULL, // half / 2^384 = 800000 + 0x0000000008000000ULL, // half / 2^384 = 8000000 + 0x0000000040000000ULL, // half / 2^384 = 40000000 + 0x0000000200000000ULL, // half / 2^384 = 200000000 + 0x0000002000000000ULL, // half / 2^384 = 2000000000 + 0x0000010000000000ULL, // half / 2^384 = 10000000000 + 0x0000080000000000ULL, // half / 2^384 = 80000000000 + 0x0000800000000000ULL, // half / 2^384 = 800000000000 + 0x0004000000000000ULL, // half / 2^384 = 4000000000000 + 0x0020000000000000ULL, // half / 2^384 = 20000000000000 + 0x0200000000000000ULL, // half / 2^384 = 200000000000000 + 0x1000000000000000ULL, // half / 2^384 = 1000000000000000 + 0x8000000000000000ULL, // half / 2^384 = 8000000000000000 + 0x0000000000000004ULL, // half / 2^448 = 4 + 0x0000000000000040ULL, // half / 2^448 = 40 + 0x0000000000000200ULL, // half / 2^448 = 200 + 0x0000000000001000ULL, // half / 2^448 = 1000 + 0x0000000000010000ULL, // half / 2^448 = 10000 + 0x0000000000080000ULL, // half / 2^448 = 80000 + 0x0000000000400000ULL, // half / 2^448 = 400000 + 0x0000000004000000ULL, // half / 2^448 = 4000000 + 0x0000000020000000ULL, // half / 2^448 = 20000000 + 0x0000000100000000ULL, // half / 2^448 = 100000000 + 0x0000001000000000ULL, // half / 2^448 = 1000000000 + 0x0000008000000000ULL, // half / 2^448 = 8000000000 + 0x0000040000000000ULL, // half / 2^448 = 40000000000 + 0x0000400000000000ULL, // half / 2^448 = 400000000000 + 0x0002000000000000ULL, // half / 2^448 = 2000000000000 + 0x0010000000000000ULL, // half / 2^448 = 10000000000000 + 0x0100000000000000ULL // half / 2^448 = 100000000000000 +}; + +UINT64 mask256[] = { + 0x0000000000000007ULL, // mask / 2^256 + 0x000000000000003fULL, // mask / 2^256 + 0x00000000000001ffULL, // mask / 2^256 + 0x0000000000001fffULL, // mask / 2^256 + 0x000000000000ffffULL, // mask / 2^256 + 0x000000000007ffffULL, // mask / 2^256 + 0x00000000007fffffULL, // mask / 2^256 + 0x0000000003ffffffULL, // mask / 2^256 + 0x000000001fffffffULL, // mask / 2^256 + 0x00000001ffffffffULL, // mask / 2^256 + 0x0000000fffffffffULL, // mask / 2^256 + 0x0000007fffffffffULL, // mask / 2^256 + 0x000007ffffffffffULL, // mask / 2^256 + 0x00003fffffffffffULL, // mask / 2^256 + 0x0001ffffffffffffULL, // mask / 2^256 + 0x001fffffffffffffULL, // mask / 2^256 + 0x00ffffffffffffffULL, // mask / 2^256 + 0x07ffffffffffffffULL, // mask / 2^256 + 0x7fffffffffffffffULL, // mask / 2^256 + 0x0000000000000003ULL, // mask / 2^320 + 0x000000000000001fULL, // mask / 2^320 + 0x00000000000001ffULL, // mask / 2^320 + 0x0000000000000fffULL, // mask / 2^320 + 0x0000000000007fffULL, // mask / 2^320 + 0x000000000007ffffULL, // mask / 2^320 + 0x00000000003fffffULL, // mask / 2^320 + 0x0000000001ffffffULL, // mask / 2^320 + 0x000000001fffffffULL, // mask / 2^320 + 0x00000000ffffffffULL, // mask / 2^320 + 0x00000007ffffffffULL, // mask / 2^320 + 0x0000003fffffffffULL, // mask / 2^320 + 0x000003ffffffffffULL, // mask / 2^320 + 0x00001fffffffffffULL, // mask / 2^320 + 0x0000ffffffffffffULL, // mask / 2^320 + 0x000fffffffffffffULL, // mask / 2^320 + 0x007fffffffffffffULL, // mask / 2^320 + 0x03ffffffffffffffULL, // mask / 2^320 + 0x3fffffffffffffffULL, // mask / 2^320 + 0x0000000000000001ULL, // mask / 2^384 + 0x000000000000000fULL, // mask / 2^384 + 0x00000000000000ffULL, // mask / 2^384 + 0x00000000000007ffULL, // mask / 2^384 + 0x0000000000003fffULL, // mask / 2^384 + 0x000000000003ffffULL, // mask / 2^384 + 0x00000000001fffffULL, // mask / 2^384 + 0x0000000000ffffffULL, // mask / 2^384 + 0x000000000fffffffULL, // mask / 2^384 + 0x000000007fffffffULL, // mask / 2^384 + 0x00000003ffffffffULL, // mask / 2^384 + 0x0000003fffffffffULL, // mask / 2^384 + 0x000001ffffffffffULL, // mask / 2^384 + 0x00000fffffffffffULL, // mask / 2^384 + 0x0000ffffffffffffULL, // mask / 2^384 + 0x0007ffffffffffffULL, // mask / 2^384 + 0x003fffffffffffffULL, // mask / 2^384 + 0x03ffffffffffffffULL, // mask / 2^384 + 0x1fffffffffffffffULL, // mask / 2^384 + 0xffffffffffffffffULL, // mask / 2^384 + 0x0000000000000007ULL, // mask / 2^448 + 0x000000000000007fULL, // mask / 2^448 + 0x00000000000003ffULL, // mask / 2^448 + 0x0000000000001fffULL, // mask / 2^448 + 0x000000000001ffffULL, // mask / 2^448 + 0x00000000000fffffULL, // mask / 2^448 + 0x00000000007fffffULL, // mask / 2^448 + 0x0000000007ffffffULL, // mask / 2^448 + 0x000000003fffffffULL, // mask / 2^448 + 0x00000001ffffffffULL, // mask / 2^448 + 0x0000001fffffffffULL, // mask / 2^448 + 0x000000ffffffffffULL, // mask / 2^448 + 0x000007ffffffffffULL, // mask / 2^448 + 0x00007fffffffffffULL, // mask / 2^448 + 0x0003ffffffffffffULL, // mask / 2^448 + 0x001fffffffffffffULL, // mask / 2^448 + 0x01ffffffffffffffULL // mask / 2^448 +}; + +UINT256 ten2mxtrunc256[] = { + {{0xccccccccccccccccULL, 0xccccccccccccccccULL, + 0xccccccccccccccccULL, 0xccccccccccccccccULL}}, + // (ten2mx >> 256) = cccccccccccccccc cccccccccccccccc + // cccccccccccccccccccccccccccccccc + {{0x70a3d70a3d70a3d7ULL, 0xd70a3d70a3d70a3dULL, + 0x3d70a3d70a3d70a3ULL, 0xa3d70a3d70a3d70aULL}}, + // (ten2mx >> 256) = a3d70a3d70a3d70a 3d70a3d70a3d70a3 + // d70a3d70a3d70a3d70a3d70a3d70a3d7 + {{0xc083126e978d4fdfULL, 0x78d4fdf3b645a1caULL, + 0x645a1cac083126e9ULL, 0x83126e978d4fdf3bULL}}, + // (ten2mx >> 256) = 83126e978d4fdf3b 645a1cac083126e9 + // 78d4fdf3b645a1cac083126e978d4fdf + {{0x67381d7dbf487fcbULL, 0xc154c985f06f6944ULL, + 0xd3c36113404ea4a8ULL, 0xd1b71758e219652bULL}}, + // (ten2mx >> 256) = d1b71758e219652b d3c36113404ea4a8 + // c154c985f06f694467381d7dbf487fcb + {{0x85c67dfe32a0663cULL, 0xcddd6e04c0592103ULL, + 0x0fcf80dc33721d53ULL, 0xa7c5ac471b478423ULL}}, + // (ten2mx >> 256) = a7c5ac471b478423 fcf80dc33721d53 + // cddd6e04c059210385c67dfe32a0663c + {{0x37d1fe64f54d1e96ULL, 0xd7e45803cd141a69ULL, + 0xa63f9a49c2c1b10fULL, 0x8637bd05af6c69b5ULL}}, + // (ten2mx >> 256) = 8637bd05af6c69b5 a63f9a49c2c1b10f + // d7e45803cd141a6937d1fe64f54d1e96 + {{0x8c8330a1887b6424ULL, 0x8ca08cd2e1b9c3dbULL, + 0x3d32907604691b4cULL, 0xd6bf94d5e57a42bcULL}}, + // (ten2mx >> 256) = d6bf94d5e57a42bc 3d32907604691b4c + // 8ca08cd2e1b9c3db8c8330a1887b6424 + {{0x7068f3b46d2f8350ULL, 0x3d4d3d758161697cULL, + 0xfdc20d2b36ba7c3dULL, 0xabcc77118461cefcULL}}, + // (ten2mx >> 256) = abcc77118461cefc fdc20d2b36ba7c3d + // 3d4d3d758161697c7068f3b46d2f8350 + {{0xf387295d242602a6ULL, 0xfdd7645e011abac9ULL, + 0x31680a88f8953030ULL, 0x89705f4136b4a597ULL}}, + // (ten2mx >> 256) = 89705f4136b4a597 31680a88f8953030 + // fdd7645e011abac9f387295d242602a6 + {{0xb8d8422ea03cd10aULL, 0x2fbf06fcce912adcULL, + 0xb573440e5a884d1bULL, 0xdbe6fecebdedd5beULL}}, + // (ten2mx >> 256) = dbe6fecebdedd5be b573440e5a884d1b + // 2fbf06fcce912adcb8d8422ea03cd10a + {{0x93e034f219ca40d5ULL, 0xf2ff38ca3eda88b0ULL, + 0xf78f69a51539d748ULL, 0xafebff0bcb24aafeULL}}, + // (ten2mx >> 256) = afebff0bcb24aafe f78f69a51539d748 + // f2ff38ca3eda88b093e034f219ca40d5 + {{0x4319c3f4e16e9a44ULL, 0xf598fa3b657ba08dULL, + 0xf93f87b7442e45d3ULL, 0x8cbccc096f5088cbULL}}, + // (ten2mx >> 256) = 8cbccc096f5088cb f93f87b7442e45d3 + // f598fa3b657ba08d4319c3f4e16e9a44 + {{0x04f606549be42a06ULL, 0x88f4c3923bf900e2ULL, + 0x2865a5f206b06fb9ULL, 0xe12e13424bb40e13ULL}}, + // (ten2mx >> 256) = e12e13424bb40e13 2865a5f206b06fb9 + // 88f4c3923bf900e204f606549be42a06 + {{0x03f805107cb68805ULL, 0x6d909c74fcc733e8ULL, + 0x538484c19ef38c94ULL, 0xb424dc35095cd80fULL}}, + // (ten2mx >> 256) = b424dc35095cd80f 538484c19ef38c94 + // 6d909c74fcc733e803f805107cb68805 + {{0x3660040d3092066aULL, 0x57a6e390ca38f653ULL, + 0x0f9d37014bf60a10ULL, 0x901d7cf73ab0acd9ULL}}, + // (ten2mx >> 256) = 901d7cf73ab0acd9 f9d37014bf60a10 + // 57a6e390ca38f6533660040d3092066a + {{0x23ccd3484db670aaULL, 0xbf716c1add27f085ULL, + 0x4c2ebe687989a9b3ULL, 0xe69594bec44de15bULL}}, + // (ten2mx >> 256) = e69594bec44de15b 4c2ebe687989a9b3 + // bf716c1add27f08523ccd3484db670aa + {{0x4fd70f6d0af85a22ULL, 0xff8df0157db98d37ULL, + 0x09befeb9fad487c2ULL, 0xb877aa3236a4b449ULL}}, + // (ten2mx >> 256) = b877aa3236a4b449 9befeb9fad487c2 + // ff8df0157db98d374fd70f6d0af85a22 + {{0x0cac0c573bf9e1b5ULL, 0x32d7f344649470f9ULL, + 0x3aff322e62439fcfULL, 0x9392ee8e921d5d07ULL}}, + // (ten2mx >> 256) = 9392ee8e921d5d07 3aff322e62439fcf + // 32d7f344649470f90cac0c573bf9e1b5 + {{0xe11346f1f98fcf88ULL, 0x1e2652070753e7f4ULL, + 0x2b31e9e3d06c32e5ULL, 0xec1e4a7db69561a5ULL}}, + // (ten2mx >> 256) = ec1e4a7db69561a5 2b31e9e3d06c32e5 + // 1e2652070753e7f4e11346f1f98fcf88 + {{0x4da9058e613fd939ULL, 0x181ea8059f76532aULL, + 0x88f4bb1ca6bcf584ULL, 0xbce5086492111aeaULL}}, + // (ten2mx >> 256) = bce5086492111aea 88f4bb1ca6bcf584 + // 181ea8059f76532a4da9058e613fd939 + {{0xa48737a51a997a94ULL, 0x467eecd14c5ea8eeULL, + 0xd3f6fc16ebca5e03ULL, 0x971da05074da7beeULL}}, + // (ten2mx >> 256) = 971da05074da7bee d3f6fc16ebca5e03 + // 467eecd14c5ea8eea48737a51a997a94 + {{0x3a71f2a1c428c420ULL, 0x70cb148213caa7e4ULL, + 0x5324c68b12dd6338ULL, 0xf1c90080baf72cb1ULL}}, + // (ten2mx >> 256) = f1c90080baf72cb1 5324c68b12dd6338 + // 70cb148213caa7e43a71f2a1c428c420 + {{0x2ec18ee7d0209ce7ULL, 0x8d6f439b43088650ULL, + 0x75b7053c0f178293ULL, 0xc16d9a0095928a27ULL}}, + // (ten2mx >> 256) = c16d9a0095928a27 75b7053c0f178293 + // 8d6f439b430886502ec18ee7d0209ce7 + {{0xf23472530ce6e3ecULL, 0xd78c3615cf3a050cULL, + 0xc4926a9672793542ULL, 0x9abe14cd44753b52ULL}}, + // (ten2mx >> 256) = 9abe14cd44753b52 c4926a9672793542 + // d78c3615cf3a050cf23472530ce6e3ec + {{0xe9ed83b814a49fe0ULL, 0x8c1389bc7ec33b47ULL, + 0x3a83ddbd83f52204ULL, 0xf79687aed3eec551ULL}}, + // (ten2mx >> 256) = f79687aed3eec551 3a83ddbd83f52204 + // 8c1389bc7ec33b47e9ed83b814a49fe0 + {{0x87f1362cdd507fe6ULL, 0x3cdc6e306568fc39ULL, + 0x95364afe032a819dULL, 0xc612062576589ddaULL}}, + // (ten2mx >> 256) = c612062576589dda 95364afe032a819d + // 3cdc6e306568fc3987f1362cdd507fe6 + {{0x9ff42b5717739985ULL, 0xca49f1c05120c9c7ULL, + 0x775ea264cf55347dULL, 0x9e74d1b791e07e48ULL}}, + // (ten2mx >> 256) = 9e74d1b791e07e48 775ea264cf55347d + // ca49f1c05120c9c79ff42b5717739985 + {{0xccb9def1bf1f5c08ULL, 0x76dcb60081ce0fa5ULL, + 0x8bca9d6e188853fcULL, 0xfd87b5f28300ca0dULL}}, + // (ten2mx >> 256) = fd87b5f28300ca0d 8bca9d6e188853fc + // 76dcb60081ce0fa5ccb9def1bf1f5c08 + {{0xa3c7e58e327f7cd3ULL, 0x5f16f80067d80c84ULL, + 0x096ee45813a04330ULL, 0xcad2f7f5359a3b3eULL}}, + // (ten2mx >> 256) = cad2f7f5359a3b3e 96ee45813a04330 + // 5f16f80067d80c84a3c7e58e327f7cd3 + {{0xb6398471c1ff970fULL, 0x18df2ccd1fe00a03ULL, + 0xa1258379a94d028dULL, 0xa2425ff75e14fc31ULL}}, + // (ten2mx >> 256) = a2425ff75e14fc31 a1258379a94d028d + // 18df2ccd1fe00a03b6398471c1ff970f + {{0xf82e038e34cc78d9ULL, 0x4718f0a419800802ULL, + 0x80eacf948770ced7ULL, 0x81ceb32c4b43fcf4ULL}}, + // (ten2mx >> 256) = 81ceb32c4b43fcf4 80eacf948770ced7 + // 4718f0a419800802f82e038e34cc78d9 + {{0x59e338e387ad8e28ULL, 0x0b5b1aa028ccd99eULL, + 0x67de18eda5814af2ULL, 0xcfb11ead453994baULL}}, + // (ten2mx >> 256) = cfb11ead453994ba 67de18eda5814af2 + // b5b1aa028ccd99e59e338e387ad8e28 + {{0x47e8fa4f9fbe0b53ULL, 0x6f7c154ced70ae18ULL, + 0xecb1ad8aeacdd58eULL, 0xa6274bbdd0fadd61ULL}}, + // (ten2mx >> 256) = a6274bbdd0fadd61 ecb1ad8aeacdd58e + // 6f7c154ced70ae1847e8fa4f9fbe0b53 + {{0xd320c83fb2fe6f75ULL, 0xbf967770bdf3be79ULL, + 0xbd5af13bef0b113eULL, 0x84ec3c97da624ab4ULL}}, + // (ten2mx >> 256) = 84ec3c97da624ab4 bd5af13bef0b113e + // bf967770bdf3be79d320c83fb2fe6f75 + {{0x85014065eb30b256ULL, 0x65bd8be79652ca5cULL, + 0x955e4ec64b44e864ULL, 0xd4ad2dbfc3d07787ULL}}, + // (ten2mx >> 256) = d4ad2dbfc3d07787 955e4ec64b44e864 + // 65bd8be79652ca5c85014065eb30b256 + {{0xd0cdcd1e55c08eabULL, 0xeafe098611dbd516ULL, + 0xdde50bd1d5d0b9e9ULL, 0xaa242499697392d2ULL}}, + // (ten2mx >> 256) = aa242499697392d2 dde50bd1d5d0b9e9 + // eafe098611dbd516d0cdcd1e55c08eab + {{0x40a4a418449a0bbcULL, 0xbbfe6e04db164412ULL, + 0x7e50d64177da2e54ULL, 0x881cea14545c7575ULL}}, + // (ten2mx >> 256) = 881cea14545c7575 7e50d64177da2e54 + // bbfe6e04db16441240a4a418449a0bbc + {{0x9aa1068d3a9012c7ULL, 0x2cca49a15e8a0683ULL, + 0x96e7bd358c904a21ULL, 0xd9c7dced53c72255ULL}}, + // (ten2mx >> 256) = d9c7dced53c72255 96e7bd358c904a21 + // 2cca49a15e8a06839aa1068d3a9012c7 + {{0x154d9ed7620cdbd2ULL, 0x8a3b6e1ab2080536ULL, + 0xabec975e0a0d081aULL, 0xae397d8aa96c1b77ULL}}, + // (ten2mx >> 256) = ae397d8aa96c1b77 abec975e0a0d081a + // 8a3b6e1ab2080536154d9ed7620cdbd2 + {{0x443e18ac4e70afdbULL, 0x3b62be7bc1a0042bULL, + 0x2323ac4b3b3da015ULL, 0x8b61313bbabce2c6ULL}}, + // (ten2mx >> 256) = 8b61313bbabce2c6 2323ac4b3b3da015 + // 3b62be7bc1a0042b443e18ac4e70afdb + {{0x6d30277a171ab2f8ULL, 0x5f0463f935ccd378ULL, + 0x6b6c46dec52f6688ULL, 0xdf01e85f912e37a3ULL}}, + // (ten2mx >> 256) = df01e85f912e37a3 6b6c46dec52f6688 + // 5f0463f935ccd3786d30277a171ab2f8 + {{0x8a8cec61ac155bfaULL, 0x7f36b660f7d70f93ULL, + 0x55f038b237591ed3ULL, 0xb267ed1940f1c61cULL}}, + // (ten2mx >> 256) = b267ed1940f1c61c 55f038b237591ed3 + // 7f36b660f7d70f938a8cec61ac155bfa + {{0x3ba3f04e23444995ULL, 0xcc2bc51a5fdf3fa9ULL, + 0x77f3608e92adb242ULL, 0x8eb98a7a9a5b04e3ULL}}, + // (ten2mx >> 256) = 8eb98a7a9a5b04e3 77f3608e92adb242 + // cc2bc51a5fdf3fa93ba3f04e23444995 + {{0xf9064d49d206dc21ULL, 0xe046082a32fecc41ULL, + 0x8cb89a7db77c506aULL, 0xe45c10c42a2b3b05ULL}}, + // (ten2mx >> 256) = e45c10c42a2b3b05 8cb89a7db77c506a + // e046082a32fecc41f9064d49d206dc21 + {{0xfa6b7107db38b01aULL, 0x4d04d354f598a367ULL, + 0x3d607b97c5fd0d22ULL, 0xb6b00d69bb55c8d1ULL}}, + // (ten2mx >> 256) = b6b00d69bb55c8d1 3d607b97c5fd0d22 + // 4d04d354f598a367fa6b7107db38b01a + {{0xfb8927397c2d59afULL, 0x3d9d75dd9146e91fULL, + 0xcab3961304ca70e8ULL, 0x9226712162ab070dULL}}, + // (ten2mx >> 256) = 9226712162ab070d cab3961304ca70e8 + // 3d9d75dd9146e91ffb8927397c2d59af + {{0xf8db71f5937bc2b1ULL, 0xc8fbefc8e87174ffULL, + 0xaab8f01e6e10b4a6ULL, 0xe9d71b689dde71afULL}}, + // (ten2mx >> 256) = e9d71b689dde71af aab8f01e6e10b4a6 + // c8fbefc8e87174fff8db71f5937bc2b1 + {{0x2d7c5b2adc630227ULL, 0x3a63263a538df733ULL, + 0x5560c018580d5d52ULL, 0xbb127c53b17ec159ULL}}, + // (ten2mx >> 256) = bb127c53b17ec159 5560c018580d5d52 + // 3a63263a538df7332d7c5b2adc630227 + {{0x24637c2249e8ce86ULL, 0x2eb5b82ea93e5f5cULL, + 0xdde7001379a44aa8ULL, 0x95a8637627989aadULL}}, + // (ten2mx >> 256) = 95a8637627989aad dde7001379a44aa8 + // 2eb5b82ea93e5f5c24637c2249e8ce86 + {{0x3a38c69d430e173dULL, 0x4abc59e441fd6560ULL, + 0x963e66858f6d4440ULL, 0xef73d256a5c0f77cULL}}, + // (ten2mx >> 256) = ef73d256a5c0f77c 963e66858f6d4440 + // 4abc59e441fd65603a38c69d430e173d + {{0x94fa387dcf3e78fdULL, 0x6efd14b69b311de6ULL, + 0xde98520472bdd033ULL, 0xbf8fdb78849a5f96ULL}}, + // (ten2mx >> 256) = bf8fdb78849a5f96 de98520472bdd033 + // 6efd14b69b311de694fa387dcf3e78fd + {{0xaa61c6cb0c31fa64ULL, 0x259743c548f417ebULL, + 0xe546a8038efe4029ULL, 0x993fe2c6d07b7fabULL}}, + // (ten2mx >> 256) = 993fe2c6d07b7fab e546a8038efe4029 + // 259743c548f417ebaa61c6cb0c31fa64 + {{0xaa360ade79e990a1ULL, 0x3c25393ba7ecf312ULL, + 0xd53dd99f4b3066a8ULL, 0xf53304714d9265dfULL}}, + // (ten2mx >> 256) = f53304714d9265df d53dd99f4b3066a8 + // 3c25393ba7ecf312aa360ade79e990a1 + {{0x882b3be52e5473b4ULL, 0x96842dc95323f5a8ULL, + 0xaa97e14c3c26b886ULL, 0xc428d05aa4751e4cULL}}, + // (ten2mx >> 256) = c428d05aa4751e4c aa97e14c3c26b886 + // 96842dc95323f5a8882b3be52e5473b4 + {{0xd355c98425105c90ULL, 0xab9cf16ddc1cc486ULL, + 0x55464dd69685606bULL, 0x9ced737bb6c4183dULL}}, + // (ten2mx >> 256) = 9ced737bb6c4183d 55464dd69685606b + // ab9cf16ddc1cc486d355c98425105c90 + {{0xebbc75a03b4d60e6ULL, 0xac2e4f162cfad40aULL, + 0xeed6e2f0f0d56712ULL, 0xfb158592be068d2eULL}}, + // (ten2mx >> 256) = fb158592be068d2e eed6e2f0f0d56712 + // ac2e4f162cfad40aebbc75a03b4d60e6 + {{0x8963914cfc3de71eULL, 0x568b727823fbdcd5ULL, + 0xf245825a5a445275ULL, 0xc8de047564d20a8bULL}}, + // (ten2mx >> 256) = c8de047564d20a8b f245825a5a445275 + // 568b727823fbdcd58963914cfc3de71e + {{0xd44fa770c9cb1f4bULL, 0x453c5b934ffcb0aaULL, + 0x5b6aceaeae9d0ec4ULL, 0xa0b19d2ab70e6ed6ULL}}, + // (ten2mx >> 256) = a0b19d2ab70e6ed6 5b6aceaeae9d0ec4 + // 453c5b934ffcb0aad44fa770c9cb1f4b + {{0xdd0c85f3d4a27f6fULL, 0x37637c75d996f3bbULL, + 0xe2bbd88bbee40bd0ULL, 0x808e17555f3ebf11ULL}}, + // (ten2mx >> 256) = 808e17555f3ebf11 e2bbd88bbee40bd0 + // 37637c75d996f3bbdd0c85f3d4a27f6f + {{0x61ada31fba9d98b2ULL, 0x256bfa5628f185f9ULL, + 0x3792f412cb06794dULL, 0xcdb02555653131b6ULL}}, + // (ten2mx >> 256) = cdb02555653131b6 3792f412cb06794d + // 256bfa5628f185f961ada31fba9d98b2 + {{0xe7be1c196217ad5bULL, 0x51232eab53f46b2dULL, + 0x5fa8c3423c052dd7ULL, 0xa48ceaaab75a8e2bULL}}, + // (ten2mx >> 256) = a48ceaaab75a8e2b 5fa8c3423c052dd7 + // 51232eab53f46b2de7be1c196217ad5b + {{0x52fe7ce11b462449ULL, 0x40e8f222a99055beULL, + 0x1953cf68300424acULL, 0x83a3eeeef9153e89ULL}}, + // (ten2mx >> 256) = 83a3eeeef9153e89 1953cf68300424ac + // 40e8f222a99055be52fe7ce11b462449 + {{0x51972e34f8703a0fULL, 0x34a7e9d10f4d55fdULL, + 0x8eec7f0d19a03aadULL, 0xd29fe4b18e88640eULL}}, + // (ten2mx >> 256) = d29fe4b18e88640e 8eec7f0d19a03aad + // 34a7e9d10f4d55fd51972e34f8703a0f + {{0x0e128b5d938cfb3fULL, 0x2a1fee40d90aab31ULL, + 0x3f2398d747b36224ULL, 0xa87fea27a539e9a5ULL}}, + // (ten2mx >> 256) = a87fea27a539e9a5 3f2398d747b36224 + // 2a1fee40d90aab310e128b5d938cfb3f + {{0x3e753c4adc70c8ffULL, 0xbb4cbe9a473bbc27ULL, + 0x98e947129fc2b4e9ULL, 0x86ccbb52ea94baeaULL}}, + // (ten2mx >> 256) = 86ccbb52ea94baea 98e947129fc2b4e9 + // bb4cbe9a473bbc273e753c4adc70c8ff + {{0x30bb93aafa4e0e65ULL, 0x9214642a0b92c6a5ULL, + 0x5b0ed81dcc6abb0fULL, 0xd7adf884aa879177ULL}}, + // (ten2mx >> 256) = d7adf884aa879177 5b0ed81dcc6abb0f + // 9214642a0b92c6a530bb93aafa4e0e65 + {{0xc0960fbbfb71a51eULL, 0xa8105021a2dbd21dULL, + 0xe272467e3d222f3fULL, 0xac8b2d36eed2dac5ULL}}, + // (ten2mx >> 256) = ac8b2d36eed2dac5 e272467e3d222f3f + // a8105021a2dbd21dc0960fbbfb71a51e + {{0x66de72fcc927b74bULL, 0xb9a6a6814f1641b1ULL, + 0x1b8e9ecb641b58ffULL, 0x8a08f0f8bf0f156bULL}}, + // (ten2mx >> 256) = 8a08f0f8bf0f156b 1b8e9ecb641b58ff + // b9a6a6814f1641b166de72fcc927b74b + {{0xd7ca5194750c5878ULL, 0xf5d770cee4f0691bULL, + 0xf8e431456cf88e65ULL, 0xdcdb1b2798182244ULL}}, + // (ten2mx >> 256) = dcdb1b2798182244 f8e431456cf88e65 + // f5d770cee4f0691bd7ca5194750c5878 + {{0xdfd50e105da379f9ULL, 0x9179270bea59edafULL, + 0x2d835a9df0c6d851ULL, 0xb0af48ec79ace837ULL}}, + // (ten2mx >> 256) = b0af48ec79ace837 2d835a9df0c6d851 + // 9179270bea59edafdfd50e105da379f9 + {{0x19773e737e1c6194ULL, 0x0dfa85a321e18af3ULL, + 0x579c487e5a38ad0eULL, 0x8d590723948a535fULL}}, + // (ten2mx >> 256) = 8d590723948a535f 579c487e5a38ad0e + // dfa85a321e18af319773e737e1c6194 + {{0xf58b971f302d68eeULL, 0x165da29e9c9c1184ULL, + 0x25c6da63c38de1b0ULL, 0xe2280b6c20dd5232ULL}}, + // (ten2mx >> 256) = e2280b6c20dd5232 25c6da63c38de1b0 + // 165da29e9c9c1184f58b971f302d68ee + {{0xc46fac18f3578724ULL, 0x4517b54bb07cdad0ULL, + 0x1e38aeb6360b1af3ULL, 0xb4ecd5f01a4aa828ULL}}, + // (ten2mx >> 256) = b4ecd5f01a4aa828 1e38aeb6360b1af3 + // 4517b54bb07cdad0c46fac18f3578724 + {{0x36bfbce0c2ac6c1dULL, 0x9dac910959fd7bdaULL, + 0xb1c6f22b5e6f48c2ULL, 0x90bd77f3483bb9b9ULL}}, + // (ten2mx >> 256) = 90bd77f3483bb9b9 b1c6f22b5e6f48c2 + // 9dac910959fd7bda36bfbce0c2ac6c1d + {{0x2465fb01377a4695ULL, 0x2f7a81a88ffbf95dULL, + 0xb60b1d1230b20e04ULL, 0xe7958cb87392c2c2ULL}} + // (ten2mx >> 256) = e7958cb87392c2c2 b60b1d1230b20e04 + // 2f7a81a88ffbf95d2465fb01377a4695 +}; diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str.h new file mode 100644 index 0000000000..be64871787 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str.h @@ -0,0 +1,33 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +extern UINT64 Twoto60_m_10to18; +extern UINT64 Twoto60; +extern UINT64 Inv_Tento9; +extern UINT32 Twoto30_m_10to9; +extern UINT32 Tento9; +extern UINT32 Tento6; +extern UINT32 Tento3; + +extern char midi_tbl[1000][3]; +extern UINT64 mod10_18_tbl[9][128]; diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str_macros.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str_macros.h new file mode 100644 index 0000000000..a62bfe0908 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str_macros.h @@ -0,0 +1,149 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define __L0_Normalize_10to18( X_hi, X_lo ) \ +{ \ +UINT64 L0_tmp; \ +L0_tmp = (X_lo) + Twoto60_m_10to18; \ +if (L0_tmp & Twoto60) \ + {(X_hi)=(X_hi)+1;(X_lo)=((L0_tmp<<4)>>4);} \ +} + + +#define __L0_Normalize_10to9( X_hi, X_lo ) \ +{ \ +UINT32 L0_tmp; \ +L0_tmp = (X_lo) + Twoto30_m_10to9; \ +if (L0_tmp & 0x40000000) \ + {(X_hi)=(X_hi)+1;(X_lo)=((L0_tmp<<2)>>2);} \ +} + + +#define __L0_Split_MiDi_2( X, ptr ) \ +{ \ +UINT32 L0_head, L0_tail, L0_tmp; \ + L0_head = (X) >> 10; \ + L0_tail = ((X)&(0x03FF))+(L0_head<<5)-(L0_head<<3); \ + L0_tmp = (L0_tail)>>10; L0_head += L0_tmp; \ + L0_tail = (L0_tail&(0x03FF))+(L0_tmp<<5)-(L0_tmp<<3); \ + if (L0_tail > 999){L0_tail -= 1000; L0_head += 1;} \ + *((ptr)++) = L0_head; *((ptr)++) = L0_tail; \ +} + + +#define __L0_Split_MiDi_3( X, ptr ) \ +{ \ +UINT32 L0_X, L0_head, L0_mid, L0_tail, L0_tmp; \ + L0_X = (UINT32)((X)); \ + L0_head = ((L0_X>>17)*34359)>>18; \ + L0_X -= L0_head*1000000; \ + if (L0_X >= 1000000){L0_X -= 1000000;L0_head+=1;} \ + L0_mid = L0_X >> 10; \ + L0_tail = (L0_X & (0x03FF))+(L0_mid<<5)-(L0_mid<<3); \ + L0_tmp = (L0_tail)>>10; L0_mid += L0_tmp; \ + L0_tail = (L0_tail&(0x3FF))+(L0_tmp<<5)-(L0_tmp<<3); \ + if (L0_tail>999){L0_tail-=1000;L0_mid+=1;} \ + *((ptr)++)=L0_head;*((ptr)++)=L0_mid; \ + *((ptr)++)=L0_tail; \ +} + +#define __L1_Split_MiDi_6( X, ptr ) \ +{ \ +UINT32 L1_X_hi, L1_X_lo; \ +UINT64 L1_Xhi_64, L1_Xlo_64; \ +L1_Xhi_64 = ( ((X)>>28)*Inv_Tento9 ) >> 33; \ +L1_Xlo_64 = (X) - L1_Xhi_64*(UINT64)Tento9; \ +if (L1_Xlo_64 >= (UINT64)Tento9) \ + {L1_Xlo_64-=(UINT64)Tento9;L1_Xhi_64+=1;} \ +L1_X_hi=(UINT32)L1_Xhi_64; L1_X_lo=(UINT32)L1_Xlo_64; \ +__L0_Split_MiDi_3(L1_X_hi,(ptr)); \ +__L0_Split_MiDi_3(L1_X_lo,(ptr)); \ +} + +#define __L1_Split_MiDi_6_Lead( X, ptr ) \ +{ \ +UINT32 L1_X_hi, L1_X_lo; \ +UINT64 L1_Xhi_64, L1_Xlo_64; \ +if ((X)>=(UINT64)Tento9){ \ + L1_Xhi_64 = ( ((X)>>28)*Inv_Tento9 ) >> 33; \ + L1_Xlo_64 = (X) - L1_Xhi_64*(UINT64)Tento9; \ + if (L1_Xlo_64 >= (UINT64)Tento9) \ + {L1_Xlo_64-=(UINT64)Tento9;L1_Xhi_64+=1;} \ + L1_X_hi=(UINT32)L1_Xhi_64; \ + L1_X_lo=(UINT32)L1_Xlo_64; \ + if (L1_X_hi>=Tento6){ \ + __L0_Split_MiDi_3(L1_X_hi,(ptr)); \ + __L0_Split_MiDi_3(L1_X_lo,(ptr)); \ + } \ + else if (L1_X_hi>=Tento3){ \ + __L0_Split_MiDi_2(L1_X_hi,(ptr)); \ + __L0_Split_MiDi_3(L1_X_lo,(ptr)); \ + } \ + else { \ + *((ptr)++) = L1_X_hi; \ + __L0_Split_MiDi_3(L1_X_lo,(ptr)); \ + } \ +} \ +else { \ + L1_X_lo = (UINT32)(X); \ + if (L1_X_lo>=Tento6){ \ + __L0_Split_MiDi_3(L1_X_lo,(ptr)); \ + } \ + else if (L1_X_lo>=Tento3){ \ + __L0_Split_MiDi_2(L1_X_lo,(ptr)); \ + } \ + else { \ + *((ptr)++) = L1_X_lo; \ + } \ +} \ +} + + +#define __L0_MiDi2Str( X, c_ptr ) \ +{ \ +char *L0_src; \ + L0_src = midi_tbl[(X)]; \ + *((c_ptr)++) = *(L0_src++); \ + *((c_ptr)++) = *(L0_src++); \ + *((c_ptr)++) = *(L0_src); \ +} + +#define __L0_MiDi2Str_Lead( X, c_ptr ) \ +{ \ +char *L0_src; \ + L0_src = midi_tbl[(X)]; \ + if ((X)>=100){ \ + *((c_ptr)++) = *(L0_src++); \ + *((c_ptr)++) = *(L0_src++); \ + *((c_ptr)++) = *(L0_src); \ + } \ + else if ((X)>=10){ \ + L0_src++; \ + *((c_ptr)++) = *(L0_src++); \ + *((c_ptr)++) = *(L0_src); \ + } \ + else { \ + L0_src++;L0_src++; \ + *((c_ptr)++) = *(L0_src); \ +} \ +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str_tables.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str_tables.c new file mode 100644 index 0000000000..83e446ef1a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_2_str_tables.c @@ -0,0 +1,642 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +UINT64 Twoto60_m_10to18 = 152921504606846976LL; +UINT64 Twoto60 = 0x1000000000000000LL; +UINT64 Inv_Tento9 = 2305843009LL; /* floor(2^61/10^9) */ +UINT32 Twoto30_m_10to9 = 73741824; +UINT32 Tento9 = 1000000000; +UINT32 Tento6 = 1000000; +UINT32 Tento3 = 1000; + +const char midi_tbl[1000][3] = { + "000", "001", "002", "003", "004", "005", "006", "007", "008", "009", + "010", "011", "012", "013", "014", "015", "016", "017", "018", "019", + "020", "021", "022", "023", "024", "025", "026", "027", "028", "029", + "030", "031", "032", "033", "034", "035", "036", "037", "038", "039", + "040", "041", "042", "043", "044", "045", "046", "047", "048", "049", + "050", "051", "052", "053", "054", "055", "056", "057", "058", "059", + "060", "061", "062", "063", "064", "065", "066", "067", "068", "069", + "070", "071", "072", "073", "074", "075", "076", "077", "078", "079", + "080", "081", "082", "083", "084", "085", "086", "087", "088", "089", + "090", "091", "092", "093", "094", "095", "096", "097", "098", "099", + "100", "101", "102", "103", "104", "105", "106", "107", "108", "109", + "110", "111", "112", "113", "114", "115", "116", "117", "118", "119", + "120", "121", "122", "123", "124", "125", "126", "127", "128", "129", + "130", "131", "132", "133", "134", "135", "136", "137", "138", "139", + "140", "141", "142", "143", "144", "145", "146", "147", "148", "149", + "150", "151", "152", "153", "154", "155", "156", "157", "158", "159", + "160", "161", "162", "163", "164", "165", "166", "167", "168", "169", + "170", "171", "172", "173", "174", "175", "176", "177", "178", "179", + "180", "181", "182", "183", "184", "185", "186", "187", "188", "189", + "190", "191", "192", "193", "194", "195", "196", "197", "198", "199", + "200", "201", "202", "203", "204", "205", "206", "207", "208", "209", + "210", "211", "212", "213", "214", "215", "216", "217", "218", "219", + "220", "221", "222", "223", "224", "225", "226", "227", "228", "229", + "230", "231", "232", "233", "234", "235", "236", "237", "238", "239", + "240", "241", "242", "243", "244", "245", "246", "247", "248", "249", + "250", "251", "252", "253", "254", "255", "256", "257", "258", "259", + "260", "261", "262", "263", "264", "265", "266", "267", "268", "269", + "270", "271", "272", "273", "274", "275", "276", "277", "278", "279", + "280", "281", "282", "283", "284", "285", "286", "287", "288", "289", + "290", "291", "292", "293", "294", "295", "296", "297", "298", "299", + "300", "301", "302", "303", "304", "305", "306", "307", "308", "309", + "310", "311", "312", "313", "314", "315", "316", "317", "318", "319", + "320", "321", "322", "323", "324", "325", "326", "327", "328", "329", + "330", "331", "332", "333", "334", "335", "336", "337", "338", "339", + "340", "341", "342", "343", "344", "345", "346", "347", "348", "349", + "350", "351", "352", "353", "354", "355", "356", "357", "358", "359", + "360", "361", "362", "363", "364", "365", "366", "367", "368", "369", + "370", "371", "372", "373", "374", "375", "376", "377", "378", "379", + "380", "381", "382", "383", "384", "385", "386", "387", "388", "389", + "390", "391", "392", "393", "394", "395", "396", "397", "398", "399", + "400", "401", "402", "403", "404", "405", "406", "407", "408", "409", + "410", "411", "412", "413", "414", "415", "416", "417", "418", "419", + "420", "421", "422", "423", "424", "425", "426", "427", "428", "429", + "430", "431", "432", "433", "434", "435", "436", "437", "438", "439", + "440", "441", "442", "443", "444", "445", "446", "447", "448", "449", + "450", "451", "452", "453", "454", "455", "456", "457", "458", "459", + "460", "461", "462", "463", "464", "465", "466", "467", "468", "469", + "470", "471", "472", "473", "474", "475", "476", "477", "478", "479", + "480", "481", "482", "483", "484", "485", "486", "487", "488", "489", + "490", "491", "492", "493", "494", "495", "496", "497", "498", "499", + "500", "501", "502", "503", "504", "505", "506", "507", "508", "509", + "510", "511", "512", "513", "514", "515", "516", "517", "518", "519", + "520", "521", "522", "523", "524", "525", "526", "527", "528", "529", + "530", "531", "532", "533", "534", "535", "536", "537", "538", "539", + "540", "541", "542", "543", "544", "545", "546", "547", "548", "549", + "550", "551", "552", "553", "554", "555", "556", "557", "558", "559", + "560", "561", "562", "563", "564", "565", "566", "567", "568", "569", + "570", "571", "572", "573", "574", "575", "576", "577", "578", "579", + "580", "581", "582", "583", "584", "585", "586", "587", "588", "589", + "590", "591", "592", "593", "594", "595", "596", "597", "598", "599", + "600", "601", "602", "603", "604", "605", "606", "607", "608", "609", + "610", "611", "612", "613", "614", "615", "616", "617", "618", "619", + "620", "621", "622", "623", "624", "625", "626", "627", "628", "629", + "630", "631", "632", "633", "634", "635", "636", "637", "638", "639", + "640", "641", "642", "643", "644", "645", "646", "647", "648", "649", + "650", "651", "652", "653", "654", "655", "656", "657", "658", "659", + "660", "661", "662", "663", "664", "665", "666", "667", "668", "669", + "670", "671", "672", "673", "674", "675", "676", "677", "678", "679", + "680", "681", "682", "683", "684", "685", "686", "687", "688", "689", + "690", "691", "692", "693", "694", "695", "696", "697", "698", "699", + "700", "701", "702", "703", "704", "705", "706", "707", "708", "709", + "710", "711", "712", "713", "714", "715", "716", "717", "718", "719", + "720", "721", "722", "723", "724", "725", "726", "727", "728", "729", + "730", "731", "732", "733", "734", "735", "736", "737", "738", "739", + "740", "741", "742", "743", "744", "745", "746", "747", "748", "749", + "750", "751", "752", "753", "754", "755", "756", "757", "758", "759", + "760", "761", "762", "763", "764", "765", "766", "767", "768", "769", + "770", "771", "772", "773", "774", "775", "776", "777", "778", "779", + "780", "781", "782", "783", "784", "785", "786", "787", "788", "789", + "790", "791", "792", "793", "794", "795", "796", "797", "798", "799", + "800", "801", "802", "803", "804", "805", "806", "807", "808", "809", + "810", "811", "812", "813", "814", "815", "816", "817", "818", "819", + "820", "821", "822", "823", "824", "825", "826", "827", "828", "829", + "830", "831", "832", "833", "834", "835", "836", "837", "838", "839", + "840", "841", "842", "843", "844", "845", "846", "847", "848", "849", + "850", "851", "852", "853", "854", "855", "856", "857", "858", "859", + "860", "861", "862", "863", "864", "865", "866", "867", "868", "869", + "870", "871", "872", "873", "874", "875", "876", "877", "878", "879", + "880", "881", "882", "883", "884", "885", "886", "887", "888", "889", + "890", "891", "892", "893", "894", "895", "896", "897", "898", "899", + "900", "901", "902", "903", "904", "905", "906", "907", "908", "909", + "910", "911", "912", "913", "914", "915", "916", "917", "918", "919", + "920", "921", "922", "923", "924", "925", "926", "927", "928", "929", + "930", "931", "932", "933", "934", "935", "936", "937", "938", "939", + "940", "941", "942", "943", "944", "945", "946", "947", "948", "949", + "950", "951", "952", "953", "954", "955", "956", "957", "958", "959", + "960", "961", "962", "963", "964", "965", "966", "967", "968", "969", + "970", "971", "972", "973", "974", "975", "976", "977", "978", "979", + "980", "981", "982", "983", "984", "985", "986", "987", "988", "989", + "990", "991", "992", "993", "994", "995", "996", "997", "998", "999" +}; + +const UINT64 mod10_18_tbl[9][128] = { + // 2^59 = 576460752303423488, A and B breakdown, where data = A*10^18 + B + + { + 0LL, 0LL, 0LL, 576460752303423488LL, + // 0*2^59, 1*2^59 + 1LL, 152921504606846976LL, 1LL, 729382256910270464LL, + // 2*2^59, 3*2^59 + 2LL, 305843009213693952LL, 2LL, 882303761517117440LL, + // 4*2^59, 5*2^59 + 3LL, 458764513820540928LL, 4LL, 35225266123964416LL, + // 6*2^59, 7*2^59 + 4LL, 611686018427387904LL, 5LL, 188146770730811392LL, + // 8*2^59, 9*2^59 + 5LL, 764607523034234880LL, 6LL, 341068275337658368LL, + // 10*2^59, 11*2^59 + 6LL, 917529027641081856LL, 7LL, 493989779944505344LL, + // 12*2^59, 13*2^59 + 8LL, 70450532247928832LL, 8LL, 646911284551352320LL, + // 14*2^59, 15*2^59 + 9LL, 223372036854775808LL, 9LL, 799832789158199296LL, + // 16*2^59, 17*2^59 + 10LL, 376293541461622784LL, 10LL, 952754293765046272LL, + // 18*2^59, 19*2^59 + 11LL, 529215046068469760LL, 12LL, 105675798371893248LL, + // 20*2^59, 21*2^59 + 12LL, 682136550675316736LL, 13LL, 258597302978740224LL, + // 22*2^59, 23*2^59 + 13LL, 835058055282163712LL, 14LL, 411518807585587200LL, + // 24*2^59, 25*2^59 + 14LL, 987979559889010688LL, 15LL, 564440312192434176LL, + // 26*2^59, 27*2^59 + 16LL, 140901064495857664LL, 16LL, 717361816799281152LL, + // 28*2^59, 29*2^59 + 17LL, 293822569102704640LL, 17LL, 870283321406128128LL, + // 30*2^59, 31*2^59 + 18LL, 446744073709551616LL, 19LL, 23204826012975104LL, + // 32*2^59, 33*2^59 + 19LL, 599665578316398592LL, 20LL, 176126330619822080LL, + // 34*2^59, 35*2^59 + 20LL, 752587082923245568LL, 21LL, 329047835226669056LL, + // 36*2^59, 37*2^59 + 21LL, 905508587530092544LL, 22LL, 481969339833516032LL, + // 38*2^59, 39*2^59 + 23LL, 58430092136939520LL, 23LL, 634890844440363008LL, + // 40*2^59, 41*2^59 + 24LL, 211351596743786496LL, 24LL, 787812349047209984LL, + // 42*2^59, 43*2^59 + 25LL, 364273101350633472LL, 25LL, 940733853654056960LL, + // 44*2^59, 45*2^59 + 26LL, 517194605957480448LL, 27LL, 93655358260903936LL, + // 46*2^59, 47*2^59 + 27LL, 670116110564327424LL, 28LL, 246576862867750912LL, + // 48*2^59, 49*2^59 + 28LL, 823037615171174400LL, 29LL, 399498367474597888LL, + // 50*2^59, 51*2^59 + 29LL, 975959119778021376LL, 30LL, 552419872081444864LL, + // 52*2^59, 53*2^59 + 31LL, 128880624384868352LL, 31LL, 705341376688291840LL, + // 54*2^59, 55*2^59 + 32LL, 281802128991715328LL, 32LL, 858262881295138816LL, + // 56*2^59, 57*2^59 + 33LL, 434723633598562304LL, 34LL, 11184385901985792LL, + // 58*2^59, 59*2^59 + 34LL, 587645138205409280LL, 35LL, 164105890508832768LL, + // 60*2^59, 61*2^59 + 35LL, 740566642812256256LL, 36LL, 317027395115679744LL, + // 62*2^59, 63*2^59 + }, + + { + // 2^65 = 36*10^18 + 893488147419103232 + 0LL, 0LL, 36LL, 893488147419103232LL, + // 0*2^65, 1*2^65 + 73LL, 786976294838206464LL, 110LL, 680464442257309696LL, + // 2*2^65, 3*2^65 + 147LL, 573952589676412928LL, 184LL, 467440737095516160LL, + // 4*2^65, 5*2^65 + 221LL, 360928884514619392LL, 258LL, 254417031933722624LL, + // 6*2^65, 7*2^65 + 295LL, 147905179352825856LL, 332LL, 41393326771929088LL, + // 8*2^65, 9*2^65 + 368LL, 934881474191032320LL, 405LL, 828369621610135552LL, + // 0*2^65, 1*2^65 + 442LL, 721857769029238784LL, 479LL, 615345916448342016LL, + // 2*2^65, 3*2^65 + 516LL, 508834063867445248LL, 553LL, 402322211286548480LL, + // 4*2^65, 5*2^65 + 590LL, 295810358705651712LL, 627LL, 189298506124754944LL, + // 6*2^65, 7*2^65 + 664LL, 82786653543858176LL, 700LL, 976274800962961408LL, + // 8*2^65, 9*2^65 + 737LL, 869762948382064640LL, 774LL, 763251095801167872LL, + // 0*2^65, 1*2^65 + 811LL, 656739243220271104LL, 848LL, 550227390639374336LL, + // 2*2^65, 3*2^65 + 885LL, 443715538058477568LL, 922LL, 337203685477580800LL, + // 4*2^65, 5*2^65 + 959LL, 230691832896684032LL, 996LL, 124179980315787264LL, + // 6*2^65, 7*2^65 + 1033LL, 17668127734890496LL, 1069LL, 911156275153993728LL, + // 8*2^65, 9*2^65 + 1106LL, 804644422573096960LL, 1143LL, 698132569992200192LL, + // 0*2^65, 1*2^65 + 1180LL, 591620717411303424LL, 1217LL, 485108864830406656LL, + // 2*2^65, 3*2^65 + 1254LL, 378597012249509888LL, 1291LL, 272085159668613120LL, + // 4*2^65, 5*2^65 + 1328LL, 165573307087716352LL, 1365LL, 59061454506819584LL, + // 6*2^65, 7*2^65 + 1401LL, 952549601925922816LL, 1438LL, 846037749345026048LL, + // 8*2^65, 9*2^65 + 1475LL, 739525896764129280LL, 1512LL, 633014044183232512LL, + // 0*2^65, 1*2^65 + 1549LL, 526502191602335744LL, 1586LL, 419990339021438976LL, + // 2*2^65, 3*2^65 + 1623LL, 313478486440542208LL, 1660LL, 206966633859645440LL, + // 4*2^65, 5*2^65 + 1697LL, 100454781278748672LL, 1733LL, 993942928697851904LL, + // 6*2^65, 7*2^65 + 1770LL, 887431076116955136LL, 1807LL, 780919223536058368LL, + // 8*2^65, 9*2^65 + 1844LL, 674407370955161600LL, 1881LL, 567895518374264832LL, + // 0*2^65, 1*2^65 + 1918LL, 461383665793368064LL, 1955LL, 354871813212471296LL, + // 2*2^65, 3*2^65 + 1992LL, 248359960631574528LL, 2029LL, 141848108050677760LL, + // 4*2^65, 5*2^65 + 2066LL, 35336255469780992LL, 2102LL, 928824402888884224LL, + // 6*2^65, 7*2^65 + 2139LL, 822312550307987456LL, 2176LL, 715800697727090688LL, + // 8*2^65, 9*2^65 + 2213LL, 609288845146193920LL, 2250LL, 502776992565297152LL, + // 0*2^65, 1*2^65 + 2287LL, 396265139984400384LL, 2324LL, 289753287403503616LL, + // 2*2^65, 3*2^65 + }, + + { + 0LL, 0LL, 2361LL, 183241434822606848LL, + 4722LL, 366482869645213696LL, 7083LL, 549724304467820544LL, + 9444LL, 732965739290427392LL, 11805LL, 916207174113034240LL, + 14167LL, 99448608935641088LL, 16528LL, 282690043758247936LL, + 18889LL, 465931478580854784LL, 21250LL, 649172913403461632LL, + 23611LL, 832414348226068480LL, 25973LL, 15655783048675328LL, + 28334LL, 198897217871282176LL, 30695LL, 382138652693889024LL, + 33056LL, 565380087516495872LL, 35417LL, 748621522339102720LL, + 37778LL, 931862957161709568LL, 40140LL, 115104391984316416LL, + 42501LL, 298345826806923264LL, 44862LL, 481587261629530112LL, + 47223LL, 664828696452136960LL, 49584LL, 848070131274743808LL, + 51946LL, 31311566097350656LL, 54307LL, 214553000919957504LL, + 56668LL, 397794435742564352LL, 59029LL, 581035870565171200LL, + 61390LL, 764277305387778048LL, 63751LL, 947518740210384896LL, + 66113LL, 130760175032991744LL, 68474LL, 314001609855598592LL, + 70835LL, 497243044678205440LL, 73196LL, 680484479500812288LL, + 75557LL, 863725914323419136LL, 77919LL, 46967349146025984LL, + 80280LL, 230208783968632832LL, 82641LL, 413450218791239680LL, + 85002LL, 596691653613846528LL, 87363LL, 779933088436453376LL, + 89724LL, 963174523259060224LL, 92086LL, 146415958081667072LL, + 94447LL, 329657392904273920LL, 96808LL, 512898827726880768LL, + 99169LL, 696140262549487616LL, 101530LL, 879381697372094464LL, + 103892LL, 62623132194701312LL, 106253LL, 245864567017308160LL, + 108614LL, 429106001839915008LL, 110975LL, 612347436662521856LL, + 113336LL, 795588871485128704LL, 115697LL, 978830306307735552LL, + 118059LL, 162071741130342400LL, 120420LL, 345313175952949248LL, + 122781LL, 528554610775556096LL, 125142LL, 711796045598162944LL, + 127503LL, 895037480420769792LL, 129865LL, 78278915243376640LL, + 132226LL, 261520350065983488LL, 134587LL, 444761784888590336LL, + 136948LL, 628003219711197184LL, 139309LL, 811244654533804032LL, + 141670LL, 994486089356410880LL, 144032LL, 177727524179017728LL, + 146393LL, 360968959001624576LL, 148754LL, 544210393824231424LL, + }, + + { + 0LL, 0LL, 151115LL, 727451828646838272LL, + 302231LL, 454903657293676544LL, 453347LL, 182355485940514816LL, + 604462LL, 909807314587353088LL, 755578LL, 637259143234191360LL, + 906694LL, 364710971881029632LL, 1057810LL, 92162800527867904LL, + 1208925LL, 819614629174706176LL, 1360041LL, 547066457821544448LL, + 1511157LL, 274518286468382720LL, 1662273LL, 1970115115220992LL, + 1813388LL, 729421943762059264LL, 1964504LL, 456873772408897536LL, + 2115620LL, 184325601055735808LL, 2266735LL, 911777429702574080LL, + 2417851LL, 639229258349412352LL, 2568967LL, 366681086996250624LL, + 2720083LL, 94132915643088896LL, 2871198LL, 821584744289927168LL, + 3022314LL, 549036572936765440LL, 3173430LL, 276488401583603712LL, + 3324546LL, 3940230230441984LL, 3475661LL, 731392058877280256LL, + 3626777LL, 458843887524118528LL, 3777893LL, 186295716170956800LL, + 3929008LL, 913747544817795072LL, 4080124LL, 641199373464633344LL, + 4231240LL, 368651202111471616LL, 4382356LL, 96103030758309888LL, + 4533471LL, 823554859405148160LL, 4684587LL, 551006688051986432LL, + 4835703LL, 278458516698824704LL, 4986819LL, 5910345345662976LL, + 5137934LL, 733362173992501248LL, 5289050LL, 460814002639339520LL, + 5440166LL, 188265831286177792LL, 5591281LL, 915717659933016064LL, + 5742397LL, 643169488579854336LL, 5893513LL, 370621317226692608LL, + 6044629LL, 98073145873530880LL, 6195744LL, 825524974520369152LL, + 6346860LL, 552976803167207424LL, 6497976LL, 280428631814045696LL, + 6649092LL, 7880460460883968LL, 6800207LL, 735332289107722240LL, + 6951323LL, 462784117754560512LL, 7102439LL, 190235946401398784LL, + 7253554LL, 917687775048237056LL, 7404670LL, 645139603695075328LL, + 7555786LL, 372591432341913600LL, 7706902LL, 100043260988751872LL, + 7858017LL, 827495089635590144LL, 8009133LL, 554946918282428416LL, + 8160249LL, 282398746929266688LL, 8311365LL, 9850575576104960LL, + 8462480LL, 737302404222943232LL, 8613596LL, 464754232869781504LL, + 8764712LL, 192206061516619776LL, 8915827LL, 919657890163458048LL, + 9066943LL, 647109718810296320LL, 9218059LL, 374561547457134592LL, + 9369175LL, 102013376103972864LL, 9520290LL, 829465204750811136LL, + }, + + { + 0LL, 0LL, 9671406LL, 556917033397649408LL, + 19342813LL, 113834066795298816LL, 29014219LL, 670751100192948224LL, + 38685626LL, 227668133590597632LL, 48357032LL, 784585166988247040LL, + 58028439LL, 341502200385896448LL, 67699845LL, 898419233783545856LL, + 77371252LL, 455336267181195264LL, 87042659LL, 12253300578844672LL, + 96714065LL, 569170333976494080LL, 106385472LL, 126087367374143488LL, + 116056878LL, 683004400771792896LL, 125728285LL, 239921434169442304LL, + 135399691LL, 796838467567091712LL, 145071098LL, 353755500964741120LL, + 154742504LL, 910672534362390528LL, 164413911LL, 467589567760039936LL, + 174085318LL, 24506601157689344LL, 183756724LL, 581423634555338752LL, + 193428131LL, 138340667952988160LL, 203099537LL, 695257701350637568LL, + 212770944LL, 252174734748286976LL, 222442350LL, 809091768145936384LL, + 232113757LL, 366008801543585792LL, 241785163LL, 922925834941235200LL, + 251456570LL, 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b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_add.c new file mode 100644 index 0000000000..14a5adf322 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_add.c @@ -0,0 +1,2941 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64dq_add (UINT64 * pres, UINT64 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64dq_add (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res = 0xbaddbaddbaddbaddull; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qq_add (&res, &x1, py + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid64qq_add (x1, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qd_add (UINT64 * pres, UINT128 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qd_add (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res = 0xbaddbaddbaddbaddull; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qq_add (&res, px, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid64qq_add (x, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qq_add (UINT64 * pres, UINT128 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qq_add (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 one = { {0x0000000000000001ull, 0x3040000000000000ull} + }; + UINT64 res = 0xbaddbaddbaddbaddull; + + BID_SWAP128 (one); +#if DECIMAL_CALL_BY_REFERENCE + bid64qqq_fma (&res, &one, &x, &y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid64qqq_fma (one, x, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dd_add (UINT128 * pres, UINT64 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dd_add (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 x1, y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_add (&res, &x1, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_add (x1, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dq_add (UINT128 * pres, UINT64 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dq_add (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_add (&res, &x1, py + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_add (x1, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128qd_add (UINT128 * pres, UINT128 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128qd_add (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_add (&res, px, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_add (x, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +// bid128_add stands for bid128qq_add + + +/***************************************************************************** + * BID64/BID128 sub + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64dq_sub (UINT64 * pres, UINT64 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64dq_sub (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res = 0xbaddbaddbaddbaddull; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qq_sub (&res, &x1, py + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid64qq_sub (x1, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qd_sub (UINT64 * pres, UINT128 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qd_sub (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res = 0xbaddbaddbaddbaddull; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qq_sub (&res, px, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid64qq_sub (x, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qq_sub (UINT64 * pres, UINT128 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qq_sub (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 one = { {0x0000000000000001ull, 0x3040000000000000ull} + }; + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 y_sign; + + BID_SWAP128 (one); + if ((y.w[HIGH_128W] & MASK_NAN) != MASK_NAN) { // y is not NAN + // change its sign + y_sign = y.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + if (y_sign) + y.w[HIGH_128W] = y.w[HIGH_128W] & 0x7fffffffffffffffull; + else + y.w[HIGH_128W] = y.w[HIGH_128W] | 0x8000000000000000ull; + } +#if DECIMAL_CALL_BY_REFERENCE + bid64qqq_fma (&res, &one, &x, &y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid64qqq_fma (one, x, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dd_sub (UINT128 * pres, UINT64 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dd_sub (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 x1, y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_sub (&res, &x1, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_sub (x1, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dq_sub (UINT128 * pres, UINT64 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dq_sub (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_sub (&res, &x1, py + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_sub (x1, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128qd_sub (UINT128 * pres, UINT128 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128qd_sub (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_sub (&res, px, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_sub (x, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_add (UINT128 * pres, UINT128 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128_add (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT64 x_sign, y_sign, tmp_sign; + UINT64 x_exp, y_exp, tmp_exp; // e1 = x_exp, e2 = y_exp + UINT64 C1_hi, C2_hi, tmp_signif_hi; + UINT64 C1_lo, C2_lo, tmp_signif_lo; + // Note: C1.w[1], C1.w[0] represent C1_hi, C1_lo (all UINT64) + // Note: C2.w[1], C2.w[0] represent C2_hi, C2_lo (all UINT64) + UINT64 tmp64, tmp64A, tmp64B; + BID_UI64DOUBLE tmp1, tmp2; + int x_nr_bits, y_nr_bits; + int q1, q2, delta, scale, x1, ind, shift, tmp_inexact = 0; + UINT64 halfulp64; + UINT128 halfulp128; + UINT128 C1, C2; + UINT128 ten2m1; + UINT128 highf2star; // top 128 bits in f2*; low 128 bits in R256[1], R256[0] + UINT256 P256, Q256, R256; + int is_inexact = 0, is_midpoint_lt_even = 0, is_midpoint_gt_even = 0; + int is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + int second_pass = 0; + + BID_SWAP128 (x); + BID_SWAP128 (y); + x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + y_sign = y.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaN or Infinity + if (((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) + || ((y.w[1] & MASK_SPECIAL) == MASK_SPECIAL)) { + // x is special or y is special + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) + && (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; + // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; + // clear out G[6]-G[16] + res.w[0] = x.w[0]; + // if y = SNaN signal invalid exception + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } + BID_SWAP128 (res); + BID_RETURN (res); + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + // check first for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) + && (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (y) + res.w[1] = y.w[1] & 0xfc003fffffffffffull; + // clear out also G[6]-G[16] + res.w[0] = y.w[0]; + } else { // y is QNaN + // return y + res.w[1] = y.w[1] & 0xfc003fffffffffffull; + // clear out G[6]-G[16] + res.w[0] = y.w[0]; + } + BID_SWAP128 (res); + BID_RETURN (res); + } else { // neither x not y is NaN; at least one is infinity + if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x is infinity + if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y is infinity + // if same sign, return either of them + if ((x.w[1] & MASK_SIGN) == (y.w[1] & MASK_SIGN)) { + res.w[1] = x_sign | MASK_INF; + res.w[0] = 0x0ull; + } else { // x and y are infinities of opposite signs + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return QNaN Indefinite + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + } else { // y is 0 or finite + // return x + res.w[1] = x_sign | MASK_INF; + res.w[0] = 0x0ull; + } + } else { // x is not NaN or infinity, so y must be infinity + res.w[1] = y_sign | MASK_INF; + res.w[0] = 0x0ull; + } + BID_SWAP128 (res); + BID_RETURN (res); + } + } + // unpack the arguments + + // unpack x + C1_hi = x.w[1] & MASK_COEFF; + C1_lo = x.w[0]; + // test for non-canonical values: + // - values whose encoding begins with x00, x01, or x10 and whose + // coefficient is larger than 10^34 -1, or + // - values whose encoding begins with x1100, x1101, x1110 (if NaNs + // and infinitis were eliminated already this test is reduced to + // checking for x10x) + + // x is not infinity; check for non-canonical values - treated as zero + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + // G0_G1=11; non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1_hi = 0; // significand high + C1_lo = 0; // significand low + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1_hi > 0x0001ed09bead87c0ull || + (C1_hi == 0x0001ed09bead87c0ull + && C1_lo > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1_hi = 0; + C1_lo = 0; + } else { // canonical + ; + } + } + + // unpack y + C2_hi = y.w[1] & MASK_COEFF; + C2_lo = y.w[0]; + // y is not infinity; check for non-canonical values - treated as zero + if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + // G0_G1=11; non-canonical + y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C2_hi = 0; // significand high + C2_lo = 0; // significand low + } else { // G0_G1 != 11 + y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C2_hi > 0x0001ed09bead87c0ull || + (C2_hi == 0x0001ed09bead87c0ull + && C2_lo > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + C2_hi = 0; + C2_lo = 0; + } else { // canonical + ; + } + } + + if ((C1_hi == 0x0ull) && (C1_lo == 0x0ull)) { + // x is 0 and y is not special + // if y is 0 return 0 with the smaller exponent + if ((C2_hi == 0x0ull) && (C2_lo == 0x0ull)) { + if (x_exp < y_exp) + res.w[1] = x_exp; + else + res.w[1] = y_exp; + if (x_sign && y_sign) + res.w[1] = res.w[1] | x_sign; // both negative + else if (rnd_mode == ROUNDING_DOWN && x_sign != y_sign) + res.w[1] = res.w[1] | 0x8000000000000000ull; // -0 + // else; // res = +0 + res.w[0] = 0; + } else { + // for 0 + y return y, with the preferred exponent + if (y_exp <= x_exp) { + res.w[1] = y.w[1]; + res.w[0] = y.w[0]; + } else { // if y_exp > x_exp + // return (C2 * 10^scale) * 10^(y_exp - scale) + // where scale = min (P34-q2, y_exp-x_exp) + // determine q2 = nr. of decimal digits in y + // determine first the nr. of bits in y (y_nr_bits) + + if (C2_hi == 0) { // y_bits is the nr. of bits in C2_lo + if (C2_lo >= 0x0020000000000000ull) { // y >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid + // rounding errors + if (C2_lo >= 0x0000000100000000ull) { // y >= 2^32 + tmp2.d = (double) (C2_lo >> 32); // exact conversion + y_nr_bits = + 32 + + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // y < 2^32 + tmp2.d = (double) (C2_lo); // exact conversion + y_nr_bits = + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if y < 2^53 + tmp2.d = (double) C2_lo; // exact conversion + y_nr_bits = + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C2_hi != 0 => nr. bits = 64 + nr_bits (C2_hi) + tmp2.d = (double) C2_hi; // exact conversion + y_nr_bits = + 64 + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q2 = nr_digits[y_nr_bits].digits; + if (q2 == 0) { + q2 = nr_digits[y_nr_bits].digits1; + if (C2_hi > nr_digits[y_nr_bits].threshold_hi || + (C2_hi == nr_digits[y_nr_bits].threshold_hi && + C2_lo >= nr_digits[y_nr_bits].threshold_lo)) + q2++; + } + // return (C2 * 10^scale) * 10^(y_exp - scale) + // where scale = min (P34-q2, y_exp-x_exp) + scale = P34 - q2; + ind = (y_exp - x_exp) >> 49; + if (ind < scale) + scale = ind; + if (scale == 0) { + res.w[1] = y.w[1]; + res.w[0] = y.w[0]; + } else if (q2 <= 19) { // y fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C2_lo * ten2k64[scale] + __mul_64x64_to_128MACH (res, C2_lo, ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C2_lo * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C2_lo, ten2k128[scale - 20]); + } + } else { // y fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C2 + C2.w[1] = C2_hi; + C2.w[0] = C2_lo; + __mul_128x64_to_128 (res, ten2k64[scale], C2); + } + // subtract scale from the exponent + y_exp = y_exp - ((UINT64) scale << 49); + res.w[1] = res.w[1] | y_sign | y_exp; + } + } + BID_SWAP128 (res); + BID_RETURN (res); + } else if ((C2_hi == 0x0ull) && (C2_lo == 0x0ull)) { + // y is 0 and x is not special, and not zero + // for x + 0 return x, with the preferred exponent + if (x_exp <= y_exp) { + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + } else { // if x_exp > y_exp + // return (C1 * 10^scale) * 10^(x_exp - scale) + // where scale = min (P34-q1, x_exp-y_exp) + // determine q1 = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1_hi == 0) { // x_bits is the nr. of bits in C1_lo + if (C1_lo >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid + // rounding errors + if (C1_lo >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1_lo >> 32); // exact conversion + x_nr_bits = + 32 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - + 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1_lo); // exact conversion + x_nr_bits = + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1_lo; // exact conversion + x_nr_bits = + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1_hi != 0 => nr. bits = 64 + nr_bits (C1_hi) + tmp1.d = (double) C1_hi; // exact conversion + x_nr_bits = + 64 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q1 = nr_digits[x_nr_bits].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits].digits1; + if (C1_hi > nr_digits[x_nr_bits].threshold_hi || + (C1_hi == nr_digits[x_nr_bits].threshold_hi && + C1_lo >= nr_digits[x_nr_bits].threshold_lo)) + q1++; + } + // return (C1 * 10^scale) * 10^(x_exp - scale) + // where scale = min (P34-q1, x_exp-y_exp) + scale = P34 - q1; + ind = (x_exp - y_exp) >> 49; + if (ind < scale) + scale = ind; + if (scale == 0) { + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + } else if (q1 <= 19) { // x fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C1_lo * ten2k64[scale] + __mul_64x64_to_128MACH (res, C1_lo, ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C1_lo * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C1_lo, ten2k128[scale - 20]); + } + } else { // x fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C1 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + __mul_128x64_to_128 (res, ten2k64[scale], C1); + } + // subtract scale from the exponent + x_exp = x_exp - ((UINT64) scale << 49); + res.w[1] = res.w[1] | x_sign | x_exp; + } + BID_SWAP128 (res); + BID_RETURN (res); + } else { // x and y are not canonical, not special, and are not zero + // note that the result may still be zero, and then it has to have the + // preferred exponent + if (x_exp < y_exp) { // if exp_x < exp_y then swap x and y + tmp_sign = x_sign; + tmp_exp = x_exp; + tmp_signif_hi = C1_hi; + tmp_signif_lo = C1_lo; + x_sign = y_sign; + x_exp = y_exp; + C1_hi = C2_hi; + C1_lo = C2_lo; + y_sign = tmp_sign; + y_exp = tmp_exp; + C2_hi = tmp_signif_hi; + C2_lo = tmp_signif_lo; + } + // q1 = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1_hi == 0) { // x_bits is the nr. of bits in C1_lo + if (C1_lo >= 0x0020000000000000ull) { // x >= 2^53 + //split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1_lo >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1_lo >> 32); // exact conversion + x_nr_bits = + 32 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1_lo); // exact conversion + x_nr_bits = + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1_lo; // exact conversion + x_nr_bits = + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1_hi != 0 => nr. bits = 64 + nr_bits (C1_hi) + tmp1.d = (double) C1_hi; // exact conversion + x_nr_bits = + 64 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + + q1 = nr_digits[x_nr_bits].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits].digits1; + if (C1_hi > nr_digits[x_nr_bits].threshold_hi || + (C1_hi == nr_digits[x_nr_bits].threshold_hi && + C1_lo >= nr_digits[x_nr_bits].threshold_lo)) + q1++; + } + // q2 = nr. of decimal digits in y + // determine first the nr. of bits in y (y_nr_bits) + if (C2_hi == 0) { // y_bits is the nr. of bits in C2_lo + if (C2_lo >= 0x0020000000000000ull) { // y >= 2^53 + //split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C2_lo >= 0x0000000100000000ull) { // y >= 2^32 + tmp2.d = (double) (C2_lo >> 32); // exact conversion + y_nr_bits = + 32 + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // y < 2^32 + tmp2.d = (double) (C2_lo); // exact conversion + y_nr_bits = + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if y < 2^53 + tmp2.d = (double) C2_lo; // exact conversion + y_nr_bits = + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C2_hi != 0 => nr. bits = 64 + nr_bits (C2_hi) + tmp2.d = (double) C2_hi; // exact conversion + y_nr_bits = + 64 + ((((unsigned int) (tmp2.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + + q2 = nr_digits[y_nr_bits].digits; + if (q2 == 0) { + q2 = nr_digits[y_nr_bits].digits1; + if (C2_hi > nr_digits[y_nr_bits].threshold_hi || + (C2_hi == nr_digits[y_nr_bits].threshold_hi && + C2_lo >= nr_digits[y_nr_bits].threshold_lo)) + q2++; + } + + delta = q1 + (int) (x_exp >> 49) - q2 - (int) (y_exp >> 49); + + if (delta >= P34) { + // round the result directly because 0 < C2 < ulp (C1 * 10^(x_exp-e2)) + // n = C1 * 10^e1 or n = C1 +/- 10^(q1-P34)) * 10^e1 + // the result is inexact; the preferred exponent is the least possible + + if (delta >= P34 + 1) { + // for RN the result is the operand with the larger magnitude, + // possibly scaled up by 10^(P34-q1) + // an overflow cannot occur in this case (rounding to nearest) + if (q1 < P34) { // scale C1 up by 10^(P34-q1) + // Note: because delta >= P34+1 it is certain that + // x_exp - ((UINT64)scale << 49) will stay above e_min + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + x_exp = x_exp - ((UINT64) scale << 49); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + } + // some special cases arise: if delta = P34 + 1 and C1 = 10^(P34-1) + // (after scaling) and x_sign != y_sign and C2 > 5*10^(q2-1) => + // subtract 1 ulp + // Note: do this only for rounding to nearest; for other rounding + // modes the correction will be applied next + if ((rnd_mode == ROUNDING_TO_NEAREST + || rnd_mode == ROUNDING_TIES_AWAY) && delta == (P34 + 1) + && C1_hi == 0x0000314dc6448d93ull + && C1_lo == 0x38c15b0a00000000ull && x_sign != y_sign + && ((q2 <= 19 && C2_lo > midpoint64[q2 - 1]) || (q2 >= 20 + && (C2_hi > + midpoint128 + [q2 - + 20]. + w[1] + || + (C2_hi + == + midpoint128 + [q2 - + 20]. + w[1] + && + C2_lo + > + midpoint128 + [q2 - + 20]. + w + [0]))))) + { + // C1 = 10^34 - 1 and decrement x_exp by 1 (no underflow possible) + C1_hi = 0x0001ed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((rnd_mode == ROUNDING_DOWN && x_sign && y_sign) || + (rnd_mode == ROUNDING_UP && !x_sign && !y_sign)) { + // add 1 ulp and then check for overflow + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set overflow flag (the inexact flag was set too) + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else if ((rnd_mode == ROUNDING_DOWN && !x_sign && y_sign) || + (rnd_mode == ROUNDING_UP && x_sign && !y_sign) || + (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // subtract 1 ulp from C1 + // Note: because delta >= P34 + 1 the result cannot be zero + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi = C1_hi - 1; + // if the coefficient is 10^33 - 1 then make it 10^34 - 1 and + // decrease the exponent by 1 (because delta >= P34 + 1 the + // exponent will not become less than e_min) + // 10^33 - 1 = 0x0000314dc6448d9338c15b09ffffffff + // 10^34 - 1 = 0x0001ed09bead87c0378d8e63ffffffff + if (C1_hi == 0x0000314dc6448d93ull + && C1_lo == 0x38c15b09ffffffffull) { + // make C1 = 10^34 - 1 + C1_hi = 0x0001ed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } else { + ; // the result is already correct + } + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } else { // delta = P34 + // in most cases, the smaller operand may be < or = or > 1/2 ulp of the + // larger operand + // however, the case C1 = 10^(q1-1) and x_sign != y_sign is special due + // to accuracy loss after subtraction, and will be treated separately + if (x_sign == y_sign || (q1 <= 20 + && (C1_hi != 0 + || C1_lo != ten2k64[q1 - 1])) + || (q1 >= 21 && (C1_hi != ten2k128[q1 - 21].w[1] + || C1_lo != ten2k128[q1 - 21].w[0]))) { + // if x_sign == y_sign or C1 != 10^(q1-1) + // compare C2 with 1/2 ulp = 5 * 10^(q2-1), the latter read from table + // Note: cases q1<=19 and q1>=20 can be coalesced at some latency cost + if (q2 <= 19) { // C2 and 5*10^(q2-1) both fit in 64 bits + halfulp64 = midpoint64[q2 - 1]; // 5 * 10^(q2-1) + if (C2_lo < halfulp64) { // n2 < 1/2 ulp (n1) + // for RN the result is the operand with the larger magnitude, + // possibly scaled up by 10^(P34-q1) + // an overflow cannot occur in this case (rounding to nearest) + if (q1 < P34) { // scale C1 up by 10^(P34-q1) + // Note: because delta = P34 it is certain that + // x_exp - ((UINT64)scale << 49) will stay above e_min + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + x_exp = x_exp - ((UINT64) scale << 49); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((rnd_mode == ROUNDING_DOWN && x_sign && y_sign) || + (rnd_mode == ROUNDING_UP && !x_sign && !y_sign)) { + // add 1 ulp and then check for overflow + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set overflow flag (the inexact flag was set too) + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else + if ((rnd_mode == ROUNDING_DOWN && !x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && x_sign && !y_sign) + || (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // subtract 1 ulp from C1 + // Note: because delta >= P34 + 1 the result cannot be zero + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi = C1_hi - 1; + // if the coefficient is 10^33-1 then make it 10^34-1 and + // decrease the exponent by 1 (because delta >= P34 + 1 the + // exponent will not become less than e_min) + // 10^33 - 1 = 0x0000314dc6448d9338c15b09ffffffff + // 10^34 - 1 = 0x0001ed09bead87c0378d8e63ffffffff + if (C1_hi == 0x0000314dc6448d93ull + && C1_lo == 0x38c15b09ffffffffull) { + // make C1 = 10^34 - 1 + C1_hi = 0x0001ed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } else { + ; // the result is already correct + } + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } else if ((C2_lo == halfulp64) + && (q1 < P34 || ((C1_lo & 0x1) == 0))) { + // n2 = 1/2 ulp (n1) and C1 is even + // the result is the operand with the larger magnitude, + // possibly scaled up by 10^(P34-q1) + // an overflow cannot occur in this case (rounding to nearest) + if (q1 < P34) { // scale C1 up by 10^(P34-q1) + // Note: because delta = P34 it is certain that + // x_exp - ((UINT64)scale << 49) will stay above e_min + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + x_exp = x_exp - ((UINT64) scale << 49); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + } + if ((rnd_mode == ROUNDING_TO_NEAREST && x_sign == y_sign + && (C1_lo & 0x01)) || (rnd_mode == ROUNDING_TIES_AWAY + && x_sign == y_sign) + || (rnd_mode == ROUNDING_UP && !x_sign && !y_sign) + || (rnd_mode == ROUNDING_DOWN && x_sign && y_sign)) { + // add 1 ulp and then check for overflow + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set overflow flag (the inexact flag was set too) + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else + if ((rnd_mode == ROUNDING_TO_NEAREST && x_sign != y_sign + && (C1_lo & 0x01)) || (rnd_mode == ROUNDING_DOWN + && !x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && x_sign && !y_sign) + || (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // subtract 1 ulp from C1 + // Note: because delta >= P34 + 1 the result cannot be zero + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi = C1_hi - 1; + // if the coefficient is 10^33 - 1 then make it 10^34 - 1 + // and decrease the exponent by 1 (because delta >= P34 + 1 + // the exponent will not become less than e_min) + // 10^33 - 1 = 0x0000314dc6448d9338c15b09ffffffff + // 10^34 - 1 = 0x0001ed09bead87c0378d8e63ffffffff + if (C1_hi == 0x0000314dc6448d93ull + && C1_lo == 0x38c15b09ffffffffull) { + // make C1 = 10^34 - 1 + C1_hi = 0x0001ed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } else { + ; // the result is already correct + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } else { // if C2_lo > halfulp64 || + // (C2_lo == halfulp64 && q1 == P34 && ((C1_lo & 0x1) == 1)), i.e. + // 1/2 ulp(n1) < n2 < 1 ulp(n1) or n2 = 1/2 ulp(n1) and C1 odd + // res = x+1 ulp if n1*n2 > 0 and res = x-1 ulp if n1*n2 < 0 + if (q1 < P34) { // then 1 ulp = 10^(e1+q1-P34) < 10^e1 + // Note: if (q1 == P34) then 1 ulp = 10^(e1+q1-P34) = 10^e1 + // because q1 < P34 we must first replace C1 by + // C1 * 10^(P34-q1), and must decrease the exponent by + // (P34-q1) (it will still be at least e_min) + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + x_exp = x_exp - ((UINT64) scale << 49); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + // check for rounding overflow + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + } + } + if ((rnd_mode == ROUNDING_TO_NEAREST && x_sign != y_sign) + || (rnd_mode == ROUNDING_TIES_AWAY && x_sign != y_sign + && C2_lo != halfulp64) + || (rnd_mode == ROUNDING_DOWN && !x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && x_sign && !y_sign) + || (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // the result is x - 1 + // for RN n1 * n2 < 0; underflow not possible + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi--; + // check if we crossed into the lower decade + if (C1_hi == 0x0000314dc6448d93ull && C1_lo == 0x38c15b09ffffffffull) { // 10^33 - 1 + C1_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; // no underflow, because n1 >> n2 + } + } else + if ((rnd_mode == ROUNDING_TO_NEAREST + && x_sign == y_sign) + || (rnd_mode == ROUNDING_TIES_AWAY + && x_sign == y_sign) + || (rnd_mode == ROUNDING_DOWN && x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && !x_sign + && !y_sign)) { + // the result is x + 1 + // for RN x_sign = y_sign, i.e. n1*n2 > 0 + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else { + ; // the result is x + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } + } else { // if q2 >= 20 then 5*10^(q2-1) and C2 (the latter in + // most cases) fit only in more than 64 bits + halfulp128 = midpoint128[q2 - 20]; // 5 * 10^(q2-1) + if ((C2_hi < halfulp128.w[1]) + || (C2_hi == halfulp128.w[1] + && C2_lo < halfulp128.w[0])) { + // n2 < 1/2 ulp (n1) + // the result is the operand with the larger magnitude, + // possibly scaled up by 10^(P34-q1) + // an overflow cannot occur in this case (rounding to nearest) + if (q1 < P34) { // scale C1 up by 10^(P34-q1) + // Note: because delta = P34 it is certain that + // x_exp - ((UINT64)scale << 49) will stay above e_min + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + x_exp = x_exp - ((UINT64) scale << 49); + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((rnd_mode == ROUNDING_DOWN && x_sign && y_sign) || + (rnd_mode == ROUNDING_UP && !x_sign && !y_sign)) { + // add 1 ulp and then check for overflow + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set overflow flag (the inexact flag was set too) + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else + if ((rnd_mode == ROUNDING_DOWN && !x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && x_sign && !y_sign) + || (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // subtract 1 ulp from C1 + // Note: because delta >= P34 + 1 the result cannot be zero + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi = C1_hi - 1; + // if the coefficient is 10^33-1 then make it 10^34-1 and + // decrease the exponent by 1 (because delta >= P34 + 1 the + // exponent will not become less than e_min) + // 10^33 - 1 = 0x0000314dc6448d9338c15b09ffffffff + // 10^34 - 1 = 0x0001ed09bead87c0378d8e63ffffffff + if (C1_hi == 0x0000314dc6448d93ull + && C1_lo == 0x38c15b09ffffffffull) { + // make C1 = 10^34 - 1 + C1_hi = 0x0001ed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } else { + ; // the result is already correct + } + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } else if ((C2_hi == halfulp128.w[1] + && C2_lo == halfulp128.w[0]) + && (q1 < P34 || ((C1_lo & 0x1) == 0))) { + // midpoint & lsb in C1 is 0 + // n2 = 1/2 ulp (n1) and C1 is even + // the result is the operand with the larger magnitude, + // possibly scaled up by 10^(P34-q1) + // an overflow cannot occur in this case (rounding to nearest) + if (q1 < P34) { // scale C1 up by 10^(P34-q1) + // Note: because delta = P34 it is certain that + // x_exp - ((UINT64)scale << 49) will stay above e_min + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + x_exp = x_exp - ((UINT64) scale << 49); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((rnd_mode == ROUNDING_TIES_AWAY && x_sign == y_sign) + || (rnd_mode == ROUNDING_UP && !y_sign)) { + // add 1 ulp and then check for overflow + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set overflow flag (the inexact flag was set too) + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else if ((rnd_mode == ROUNDING_DOWN && y_sign) + || (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // subtract 1 ulp from C1 + // Note: because delta >= P34 + 1 the result cannot be zero + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi = C1_hi - 1; + // if the coefficient is 10^33 - 1 then make it 10^34 - 1 + // and decrease the exponent by 1 (because delta >= P34 + 1 + // the exponent will not become less than e_min) + // 10^33 - 1 = 0x0000314dc6448d9338c15b09ffffffff + // 10^34 - 1 = 0x0001ed09bead87c0378d8e63ffffffff + if (C1_hi == 0x0000314dc6448d93ull + && C1_lo == 0x38c15b09ffffffffull) { + // make C1 = 10^34 - 1 + C1_hi = 0x0001ed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } else { + ; // the result is already correct + } + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } else { // if C2 > halfulp128 || + // (C2 == halfulp128 && q1 == P34 && ((C1 & 0x1) == 1)), i.e. + // 1/2 ulp(n1) < n2 < 1 ulp(n1) or n2 = 1/2 ulp(n1) and C1 odd + // res = x+1 ulp if n1*n2 > 0 and res = x-1 ulp if n1*n2 < 0 + if (q1 < P34) { // then 1 ulp = 10^(e1+q1-P34) < 10^e1 + // Note: if (q1 == P34) then 1 ulp = 10^(e1+q1-P34) = 10^e1 + // because q1 < P34 we must first replace C1 by C1*10^(P34-q1), + // and must decrease the exponent by (P34-q1) (it will still be + // at least e_min) + scale = P34 - q1; + if (q1 <= 19) { // C1 fits in 64 bits + // 1 <= q1 <= 19 => 15 <= scale <= 33 + if (scale <= 19) { // 10^scale fits in 64 bits + __mul_64x64_to_128MACH (C1, ten2k64[scale], C1_lo); + } else { // if 20 <= scale <= 33 + // C1 * 10^scale = (C1 * 10^(scale-19)) * 10^19 where + // (C1 * 10^(scale-19)) fits in 64 bits + C1_lo = C1_lo * ten2k64[scale - 19]; + __mul_64x64_to_128MACH (C1, ten2k64[19], C1_lo); + } + } else { //if 20 <= q1 <= 33=P34-1 then C1 fits only in 128 bits + // => 1 <= P34 - q1 <= 14 so 10^(P34-q1) fits in 64 bits + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + // C1 = ten2k64[P34 - q1] * C1 + __mul_128x64_to_128 (C1, ten2k64[P34 - q1], C1); + } + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + x_exp = x_exp - ((UINT64) scale << 49); + } + if ((rnd_mode == ROUNDING_TO_NEAREST && x_sign != y_sign) + || (rnd_mode == ROUNDING_TIES_AWAY && x_sign != y_sign + && (C2_hi != halfulp128.w[1] + || C2_lo != halfulp128.w[0])) + || (rnd_mode == ROUNDING_DOWN && !x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && x_sign && !y_sign) + || (rnd_mode == ROUNDING_TO_ZERO + && x_sign != y_sign)) { + // the result is x - 1 + // for RN n1 * n2 < 0; underflow not possible + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi--; + // check if we crossed into the lower decade + if (C1_hi == 0x0000314dc6448d93ull && C1_lo == 0x38c15b09ffffffffull) { // 10^33 - 1 + C1_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C1_lo = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; // no underflow, because n1 >> n2 + } + } else + if ((rnd_mode == ROUNDING_TO_NEAREST + && x_sign == y_sign) + || (rnd_mode == ROUNDING_TIES_AWAY + && x_sign == y_sign) + || (rnd_mode == ROUNDING_DOWN && x_sign && y_sign) + || (rnd_mode == ROUNDING_UP && !x_sign + && !y_sign)) { + // the result is x + 1 + // for RN x_sign = y_sign, i.e. n1*n2 > 0 + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + x_exp = x_exp + EXP_P1; + if (x_exp == EXP_MAX_P1) { // overflow + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + x_exp = 0; // x_sign is preserved + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } else { + ; // the result is x + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // assemble the result + res.w[1] = x_sign | x_exp | C1_hi; + res.w[0] = C1_lo; + } + } // end q1 >= 20 + // end case where C1 != 10^(q1-1) + } else { // C1 = 10^(q1-1) and x_sign != y_sign + // instead of C' = (C1 * 10^(e1-e2) + C2)rnd,P34 + // calculate C' = C1 * 10^(e1-e2-x1) + (C2 * 10^(-x1))rnd,P34 + // where x1 = q2 - 1, 0 <= x1 <= P34 - 1 + // Because C1 = 10^(q1-1) and x_sign != y_sign, C' will have P34 + // digits and n = C' * 10^(e2+x1) + // If the result has P34+1 digits, redo the steps above with x1+1 + // If the result has P34-1 digits or less, redo the steps above with + // x1-1 but only if initially x1 >= 1 + // NOTE: these two steps can be improved, e.g we could guess if + // P34+1 or P34-1 digits will be obtained by adding/subtracting + // just the top 64 bits of the two operands + // The result cannot be zero, and it cannot overflow + x1 = q2 - 1; // 0 <= x1 <= P34-1 + // Calculate C1 * 10^(e1-e2-x1) where 1 <= e1-e2-x1 <= P34 + // scale = (int)(e1 >> 49) - (int)(e2 >> 49) - x1; 0 <= scale <= P34-1 + scale = P34 - q1 + 1; // scale=e1-e2-x1 = P34+1-q1; 1<=scale<=P34 + // either C1 or 10^(e1-e2-x1) may not fit is 64 bits, + // but their product fits with certainty in 128 bits + if (scale >= 20) { //10^(e1-e2-x1) doesn't fit in 64 bits, but C1 does + __mul_128x64_to_128 (C1, C1_lo, ten2k128[scale - 20]); + } else { // if (scale >= 1 + // if 1 <= scale <= 19 then 10^(e1-e2-x1) fits in 64 bits + if (q1 <= 19) { // C1 fits in 64 bits + __mul_64x64_to_128MACH (C1, C1_lo, ten2k64[scale]); + } else { // q1 >= 20 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + __mul_128x64_to_128 (C1, ten2k64[scale], C1); + } + } + tmp64 = C1.w[0]; // C1.w[1], C1.w[0] contains C1 * 10^(e1-e2-x1) + + // now round C2 to q2-x1 = 1 decimal digit + // C2' = C2 + 1/2 * 10^x1 = C2 + 5 * 10^(x1-1) + ind = x1 - 1; // -1 <= ind <= P34 - 2 + if (ind >= 0) { // if (x1 >= 1) + C2.w[0] = C2_lo; + C2.w[1] = C2_hi; + if (ind <= 18) { + C2.w[0] = C2.w[0] + midpoint64[ind]; + if (C2.w[0] < C2_lo) + C2.w[1]++; + } else { // 19 <= ind <= 32 + C2.w[0] = C2.w[0] + midpoint128[ind - 19].w[0]; + C2.w[1] = C2.w[1] + midpoint128[ind - 19].w[1]; + if (C2.w[0] < C2_lo) + C2.w[1]++; + } + // the approximation of 10^(-x1) was rounded up to 118 bits + __mul_128x128_to_256 (R256, C2, ten2mk128[ind]); // R256 = C2*, f2* + // calculate C2* and f2* + // C2* is actually floor(C2*) in this case + // C2* and f2* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // the top Ex bits of 10^(-x1) are T* = ten2mk128trunc[ind], e.g. + // if x1=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f2* < 10^(-x1)) then + // if floor(C1+C2*) is even then C2* = floor(C2*) - logical right + // shift; C2* has p decimal digits, correct by Prop. 1) + // else if floor(C1+C2*) is odd C2* = floor(C2*)-1 (logical right + // shift; C2* has p decimal digits, correct by Pr. 1) + // else + // C2* = floor(C2*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C2* * 10^(e2+x1) + + if (ind <= 2) { + highf2star.w[1] = 0x0; + highf2star.w[0] = 0x0; // low f2* ok + } else if (ind <= 21) { + highf2star.w[1] = 0x0; + highf2star.w[0] = R256.w[2] & maskhigh128[ind]; // low f2* ok + } else { + highf2star.w[1] = R256.w[3] & maskhigh128[ind]; + highf2star.w[0] = R256.w[2]; // low f2* is ok + } + // shift right C2* by Ex-128 = shiftright128[ind] + if (ind >= 3) { + shift = shiftright128[ind]; + if (shift < 64) { // 3 <= shift <= 63 + R256.w[2] = + (R256.w[2] >> shift) | (R256.w[3] << (64 - shift)); + R256.w[3] = (R256.w[3] >> shift); + } else { // 66 <= shift <= 102 + R256.w[2] = (R256.w[3] >> (shift - 64)); + R256.w[3] = 0x0ULL; + } + } + // redundant + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + // determine inexactness of the rounding of C2* + // (cannot be followed by a second rounding) + // if (0 < f2* - 1/2 < 10^(-x1)) then + // the result is exact + // else (if f2* - 1/2 > T* then) + // the result of is inexact + if (ind <= 2) { + if (R256.w[1] > 0x8000000000000000ull || + (R256.w[1] == 0x8000000000000000ull + && R256.w[0] > 0x0ull)) { + // f2* > 1/2 and the result may be exact + tmp64A = R256.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64A > ten2mk128trunc[ind].w[1] + || (tmp64A == ten2mk128trunc[ind].w[1] + && R256.w[0] >= ten2mk128trunc[ind].w[0]))) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_inexact_gt_midpoint = 1; + } // else the result is exact + // rounding down, unless a midpoint in [ODD, EVEN] + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_inexact_lt_midpoint = 1; + } + } else if (ind <= 21) { // if 3 <= ind <= 21 + if (highf2star.w[1] > 0x0 || (highf2star.w[1] == 0x0 + && highf2star.w[0] > + onehalf128[ind]) + || (highf2star.w[1] == 0x0 + && highf2star.w[0] == onehalf128[ind] + && (R256.w[1] || R256.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64A = highf2star.w[0] - onehalf128[ind]; + tmp64B = highf2star.w[1]; + if (tmp64A > highf2star.w[0]) + tmp64B--; + if (tmp64B || tmp64A + || R256.w[1] > ten2mk128trunc[ind].w[1] + || (R256.w[1] == ten2mk128trunc[ind].w[1] + && R256.w[0] > ten2mk128trunc[ind].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_inexact_gt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_inexact_lt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (highf2star.w[1] > onehalf128[ind] + || (highf2star.w[1] == onehalf128[ind] + && (highf2star.w[0] || R256.w[1] + || R256.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + // tmp64A = highf2star.w[0]; + tmp64B = highf2star.w[1] - onehalf128[ind]; + if (tmp64B || highf2star.w[0] + || R256.w[1] > ten2mk128trunc[ind].w[1] + || (R256.w[1] == ten2mk128trunc[ind].w[1] + && R256.w[0] > ten2mk128trunc[ind].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_inexact_gt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_inexact_lt_midpoint = 1; + } + } + // check for midpoints after determining inexactness + if ((R256.w[1] || R256.w[0]) && (highf2star.w[1] == 0) + && (highf2star.w[0] == 0) + && (R256.w[1] < ten2mk128trunc[ind].w[1] + || (R256.w[1] == ten2mk128trunc[ind].w[1] + && R256.w[0] <= ten2mk128trunc[ind].w[0]))) { + // the result is a midpoint + if ((tmp64 + R256.w[2]) & 0x01) { // MP in [EVEN, ODD] + // if floor(C2*) is odd C = floor(C2*) - 1; the result may be 0 + R256.w[2]--; + if (R256.w[2] == 0xffffffffffffffffull) + R256.w[3]--; + // this rounding is applied to C2 only! + // x_sign != y_sign + is_midpoint_lt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } else { + // else MP in [ODD, EVEN] + // this rounding is applied to C2 only! + // x_sign != y_sign + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + } else { // if (ind == -1) only when x1 = 0 + R256.w[2] = C2_lo; + R256.w[3] = C2_hi; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + // and now subtract C1 * 10^(e1-e2-x1) - (C2 * 10^(-x1))rnd,P34 + // because x_sign != y_sign this last operation is exact + C1.w[0] = C1.w[0] - R256.w[2]; + C1.w[1] = C1.w[1] - R256.w[3]; + if (C1.w[0] > tmp64) + C1.w[1]--; // borrow + if (C1.w[1] >= 0x8000000000000000ull) { // negative coefficient! + C1.w[0] = ~C1.w[0]; + C1.w[0]++; + C1.w[1] = ~C1.w[1]; + if (C1.w[0] == 0x0) + C1.w[1]++; + tmp_sign = y_sign; // the result will have the sign of y + } else { + tmp_sign = x_sign; + } + // the difference has exactly P34 digits + x_sign = tmp_sign; + if (x1 >= 1) + y_exp = y_exp + ((UINT64) x1 << 49); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + // general correction from RN to RA, RM, RP, RZ; result uses y_exp + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((!x_sign + && ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint) + || + ((rnd_mode == ROUNDING_TIES_AWAY + || rnd_mode == ROUNDING_UP) + && is_midpoint_gt_even))) || (x_sign + && + ((rnd_mode == + ROUNDING_DOWN + && + is_inexact_lt_midpoint) + || + ((rnd_mode == + ROUNDING_TIES_AWAY + || rnd_mode == + ROUNDING_DOWN) + && + is_midpoint_gt_even)))) + { + // C1 = C1 + 1 + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + y_exp = y_exp + EXP_P1; + } + } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) + && + ((x_sign + && (rnd_mode == ROUNDING_UP + || rnd_mode == ROUNDING_TO_ZERO)) + || (!x_sign + && (rnd_mode == ROUNDING_DOWN + || rnd_mode == ROUNDING_TO_ZERO)))) { + // C1 = C1 - 1 + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi--; + // check if we crossed into the lower decade + if (C1_hi == 0x0000314dc6448d93ull && C1_lo == 0x38c15b09ffffffffull) { // 10^33 - 1 + C1_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C1_lo = 0x378d8e63ffffffffull; + y_exp = y_exp - EXP_P1; + // no underflow, because delta + q2 >= P34 + 1 + } + } else { + ; // exact, the result is already correct + } + } + // assemble the result + res.w[1] = x_sign | y_exp | C1_hi; + res.w[0] = C1_lo; + } + } // end delta = P34 + } else { // if (|delta| <= P34 - 1) + if (delta >= 0) { // if (0 <= delta <= P34 - 1) + if (delta <= P34 - 1 - q2) { + // calculate C' directly; the result is exact + // in this case 1<=q1<=P34-1, 1<=q2<=P34-1 and 0 <= e1-e2 <= P34-2 + // The coefficient of the result is C1 * 10^(e1-e2) + C2 and the + // exponent is e2; either C1 or 10^(e1-e2) may not fit is 64 bits, + // but their product fits with certainty in 128 bits (actually in 113) + scale = delta - q1 + q2; // scale = (int)(e1 >> 49) - (int)(e2 >> 49) + + if (scale >= 20) { // 10^(e1-e2) does not fit in 64 bits, but C1 does + __mul_128x64_to_128 (C1, C1_lo, ten2k128[scale - 20]); + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + } else if (scale >= 1) { + // if 1 <= scale <= 19 then 10^(e1-e2) fits in 64 bits + if (q1 <= 19) { // C1 fits in 64 bits + __mul_64x64_to_128MACH (C1, C1_lo, ten2k64[scale]); + } else { // q1 >= 20 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + __mul_128x64_to_128 (C1, ten2k64[scale], C1); + } + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + } else { // if (scale == 0) C1 is unchanged + C1.w[0] = C1_lo; // C1.w[1] = C1_hi; + } + // now add C2 + if (x_sign == y_sign) { + // the result cannot overflow + C1_lo = C1_lo + C2_lo; + C1_hi = C1_hi + C2_hi; + if (C1_lo < C1.w[0]) + C1_hi++; + } else { // if x_sign != y_sign + C1_lo = C1_lo - C2_lo; + C1_hi = C1_hi - C2_hi; + if (C1_lo > C1.w[0]) + C1_hi--; + // the result can be zero, but it cannot overflow + if (C1_lo == 0 && C1_hi == 0) { + // assemble the result + if (x_exp < y_exp) + res.w[1] = x_exp; + else + res.w[1] = y_exp; + res.w[0] = 0; + if (rnd_mode == ROUNDING_DOWN) { + res.w[1] |= 0x8000000000000000ull; + } + BID_SWAP128 (res); + BID_RETURN (res); + } + if (C1_hi >= 0x8000000000000000ull) { // negative coefficient! + C1_lo = ~C1_lo; + C1_lo++; + C1_hi = ~C1_hi; + if (C1_lo == 0x0) + C1_hi++; + x_sign = y_sign; // the result will have the sign of y + } + } + // assemble the result + res.w[1] = x_sign | y_exp | C1_hi; + res.w[0] = C1_lo; + } else if (delta == P34 - q2) { + // calculate C' directly; the result may be inexact if it requires + // P34+1 decimal digits; in this case the 'cutoff' point for addition + // is at the position of the lsb of C2, so 0 <= e1-e2 <= P34-1 + // The coefficient of the result is C1 * 10^(e1-e2) + C2 and the + // exponent is e2; either C1 or 10^(e1-e2) may not fit is 64 bits, + // but their product fits with certainty in 128 bits (actually in 113) + scale = delta - q1 + q2; // scale = (int)(e1 >> 49) - (int)(e2 >> 49) + if (scale >= 20) { // 10^(e1-e2) does not fit in 64 bits, but C1 does + __mul_128x64_to_128 (C1, C1_lo, ten2k128[scale - 20]); + } else if (scale >= 1) { + // if 1 <= scale <= 19 then 10^(e1-e2) fits in 64 bits + if (q1 <= 19) { // C1 fits in 64 bits + __mul_64x64_to_128MACH (C1, C1_lo, ten2k64[scale]); + } else { // q1 >= 20 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + __mul_128x64_to_128 (C1, ten2k64[scale], C1); + } + } else { // if (scale == 0) C1 is unchanged + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; // only the low part is necessary + } + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + // now add C2 + if (x_sign == y_sign) { + // the result can overflow! + C1_lo = C1_lo + C2_lo; + C1_hi = C1_hi + C2_hi; + if (C1_lo < C1.w[0]) + C1_hi++; + // test for overflow, possible only when C1 >= 10^34 + if (C1_hi > 0x0001ed09bead87c0ull || (C1_hi == 0x0001ed09bead87c0ull && C1_lo >= 0x378d8e6400000000ull)) { // C1 >= 10^34 + // in this case q = P34 + 1 and x = q - P34 = 1, so multiply + // C'' = C'+ 5 = C1 + 5 by k1 ~ 10^(-1) calculated for P34 + 1 + // decimal digits + // Calculate C'' = C' + 1/2 * 10^x + if (C1_lo >= 0xfffffffffffffffbull) { // low half add has carry + C1_lo = C1_lo + 5; + C1_hi = C1_hi + 1; + } else { + C1_lo = C1_lo + 5; + } + // the approximation of 10^(-1) was rounded up to 118 bits + // 10^(-1) =~ 33333333333333333333333333333400 * 2^-129 + // 10^(-1) =~ 19999999999999999999999999999a00 * 2^-128 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; // C'' + ten2m1.w[1] = 0x1999999999999999ull; + ten2m1.w[0] = 0x9999999999999a00ull; + __mul_128x128_to_256 (P256, C1, ten2m1); // P256 = C*, f* + // C* is actually floor(C*) in this case + // the top Ex = 128 bits of 10^(-1) are + // T* = 0x00199999999999999999999999999999 + // if (0 < f* < 10^(-x)) then + // if floor(C*) is even then C = floor(C*) - logical right + // shift; C has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C = floor(C*) - 1 (logical right + // shift; C has p decimal digits, correct by Pr. 1) + // else + // C = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C * 10^(e2+x) + if ((P256.w[1] || P256.w[0]) + && (P256.w[1] < 0x1999999999999999ull + || (P256.w[1] == 0x1999999999999999ull + && P256.w[0] <= 0x9999999999999999ull))) { + // the result is a midpoint + if (P256.w[2] & 0x01) { + is_midpoint_gt_even = 1; + // if floor(C*) is odd C = floor(C*) - 1; the result is not 0 + P256.w[2]--; + if (P256.w[2] == 0xffffffffffffffffull) + P256.w[3]--; + } else { + is_midpoint_lt_even = 1; + } + } + // n = Cstar * 10^(e2+1) + y_exp = y_exp + EXP_P1; + // C* != 10^P because C* has P34 digits + // check for overflow + if (y_exp == EXP_MAX_P1 + && (rnd_mode == ROUNDING_TO_NEAREST + || rnd_mode == ROUNDING_TIES_AWAY)) { + // overflow for RN + res.w[1] = x_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0ull; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + BID_SWAP128 (res); + BID_RETURN (res); + } + // if (0 < f* - 1/2 < 10^(-x)) then + // the result of the addition is exact + // else + // the result of the addition is inexact + if (P256.w[1] > 0x8000000000000000ull || (P256.w[1] == 0x8000000000000000ull && P256.w[0] > 0x0ull)) { // the result may be exact + tmp64 = P256.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > 0x1999999999999999ull + || (tmp64 == 0x1999999999999999ull + && P256.w[0] >= 0x9999999999999999ull))) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact = 1; + } // else the result is exact + } else { // the result is inexact + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact = 1; + } + C1_hi = P256.w[3]; + C1_lo = P256.w[2]; + if (!is_midpoint_gt_even && !is_midpoint_lt_even) { + is_inexact_lt_midpoint = is_inexact + && (P256.w[1] & 0x8000000000000000ull); + is_inexact_gt_midpoint = is_inexact + && !(P256.w[1] & 0x8000000000000000ull); + } + // general correction from RN to RA, RM, RP, RZ; + // result uses y_exp + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((!x_sign + && + ((rnd_mode == ROUNDING_UP + && is_inexact_lt_midpoint) + || + ((rnd_mode == ROUNDING_TIES_AWAY + || rnd_mode == ROUNDING_UP) + && is_midpoint_gt_even))) || (x_sign + && + ((rnd_mode == + ROUNDING_DOWN + && + is_inexact_lt_midpoint) + || + ((rnd_mode == + ROUNDING_TIES_AWAY + || rnd_mode == + ROUNDING_DOWN) + && + is_midpoint_gt_even)))) + { + // C1 = C1 + 1 + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + y_exp = y_exp + EXP_P1; + } + } else + if ((is_midpoint_lt_even || is_inexact_gt_midpoint) + && + ((x_sign + && (rnd_mode == ROUNDING_UP + || rnd_mode == ROUNDING_TO_ZERO)) + || (!x_sign + && (rnd_mode == ROUNDING_DOWN + || rnd_mode == ROUNDING_TO_ZERO)))) { + // C1 = C1 - 1 + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi--; + // check if we crossed into the lower decade + if (C1_hi == 0x0000314dc6448d93ull && C1_lo == 0x38c15b09ffffffffull) { // 10^33 - 1 + C1_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C1_lo = 0x378d8e63ffffffffull; + y_exp = y_exp - EXP_P1; + // no underflow, because delta + q2 >= P34 + 1 + } + } else { + ; // exact, the result is already correct + } + // in all cases check for overflow (RN and RA solved already) + if (y_exp == EXP_MAX_P1) { // overflow + if ((rnd_mode == ROUNDING_DOWN && x_sign) || // RM and res < 0 + (rnd_mode == ROUNDING_UP && !x_sign)) { // RP and res > 0 + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + } else { // RM and res > 0, RP and res < 0, or RZ + C1_hi = 0x5fffed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + } + y_exp = 0; // x_sign is preserved + // set the inexact flag (in case the exact addition was exact) + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } // else if (C1 < 10^34) then C1 is the coeff.; the result is exact + } else { // if x_sign != y_sign the result is exact + C1_lo = C1_lo - C2_lo; + C1_hi = C1_hi - C2_hi; + if (C1_lo > C1.w[0]) + C1_hi--; + // the result can be zero, but it cannot overflow + if (C1_lo == 0 && C1_hi == 0) { + // assemble the result + if (x_exp < y_exp) + res.w[1] = x_exp; + else + res.w[1] = y_exp; + res.w[0] = 0; + if (rnd_mode == ROUNDING_DOWN) { + res.w[1] |= 0x8000000000000000ull; + } + BID_SWAP128 (res); + BID_RETURN (res); + } + if (C1_hi >= 0x8000000000000000ull) { // negative coefficient! + C1_lo = ~C1_lo; + C1_lo++; + C1_hi = ~C1_hi; + if (C1_lo == 0x0) + C1_hi++; + x_sign = y_sign; // the result will have the sign of y + } + } + // assemble the result + res.w[1] = x_sign | y_exp | C1_hi; + res.w[0] = C1_lo; + } else { // if (delta >= P34 + 1 - q2) + // instead of C' = (C1 * 10^(e1-e2) + C2)rnd,P34 + // calculate C' = C1 * 10^(e1-e2-x1) + (C2 * 10^(-x1))rnd,P34 + // where x1 = q1 + e1 - e2 - P34, 1 <= x1 <= P34 - 1 + // In most cases C' will have P34 digits, and n = C' * 10^(e2+x1) + // If the result has P34+1 digits, redo the steps above with x1+1 + // If the result has P34-1 digits or less, redo the steps above with + // x1-1 but only if initially x1 >= 1 + // NOTE: these two steps can be improved, e.g we could guess if + // P34+1 or P34-1 digits will be obtained by adding/subtracting just + // the top 64 bits of the two operands + // The result cannot be zero, but it can overflow + x1 = delta + q2 - P34; // 1 <= x1 <= P34-1 + roundC2: + // Calculate C1 * 10^(e1-e2-x1) where 0 <= e1-e2-x1 <= P34 - 1 + // scale = (int)(e1 >> 49) - (int)(e2 >> 49) - x1; 0 <= scale <= P34-1 + scale = delta - q1 + q2 - x1; // scale = e1 - e2 - x1 = P34 - q1 + // either C1 or 10^(e1-e2-x1) may not fit is 64 bits, + // but their product fits with certainty in 128 bits (actually in 113) + if (scale >= 20) { //10^(e1-e2-x1) doesn't fit in 64 bits, but C1 does + __mul_128x64_to_128 (C1, C1_lo, ten2k128[scale - 20]); + } else if (scale >= 1) { + // if 1 <= scale <= 19 then 10^(e1-e2-x1) fits in 64 bits + if (q1 <= 19) { // C1 fits in 64 bits + __mul_64x64_to_128MACH (C1, C1_lo, ten2k64[scale]); + } else { // q1 >= 20 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + __mul_128x64_to_128 (C1, ten2k64[scale], C1); + } + } else { // if (scale == 0) C1 is unchanged + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + } + tmp64 = C1.w[0]; // C1.w[1], C1.w[0] contains C1 * 10^(e1-e2-x1) + + // now round C2 to q2-x1 decimal digits, where 1<=x1<=q2-1<=P34-1 + // (but if we got here a second time after x1 = x1 - 1, then + // x1 >= 0; note that for x1 = 0 C2 is unchanged) + // C2' = C2 + 1/2 * 10^x1 = C2 + 5 * 10^(x1-1) + ind = x1 - 1; // 0 <= ind <= q2-2<=P34-2=32; but note that if x1 = 0 + // during a second pass, then ind = -1 + if (ind >= 0) { // if (x1 >= 1) + C2.w[0] = C2_lo; + C2.w[1] = C2_hi; + if (ind <= 18) { + C2.w[0] = C2.w[0] + midpoint64[ind]; + if (C2.w[0] < C2_lo) + C2.w[1]++; + } else { // 19 <= ind <= 32 + C2.w[0] = C2.w[0] + midpoint128[ind - 19].w[0]; + C2.w[1] = C2.w[1] + midpoint128[ind - 19].w[1]; + if (C2.w[0] < C2_lo) + C2.w[1]++; + } + // the approximation of 10^(-x1) was rounded up to 118 bits + __mul_128x128_to_256 (R256, C2, ten2mk128[ind]); // R256 = C2*, f2* + // calculate C2* and f2* + // C2* is actually floor(C2*) in this case + // C2* and f2* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // the top Ex bits of 10^(-x1) are T* = ten2mk128trunc[ind], e.g. + // if x1=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f2* < 10^(-x1)) then + // if floor(C1+C2*) is even then C2* = floor(C2*) - logical right + // shift; C2* has p decimal digits, correct by Prop. 1) + // else if floor(C1+C2*) is odd C2* = floor(C2*)-1 (logical right + // shift; C2* has p decimal digits, correct by Pr. 1) + // else + // C2* = floor(C2*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C2* * 10^(e2+x1) + + if (ind <= 2) { + highf2star.w[1] = 0x0; + highf2star.w[0] = 0x0; // low f2* ok + } else if (ind <= 21) { + highf2star.w[1] = 0x0; + highf2star.w[0] = R256.w[2] & maskhigh128[ind]; // low f2* ok + } else { + highf2star.w[1] = R256.w[3] & maskhigh128[ind]; + highf2star.w[0] = R256.w[2]; // low f2* is ok + } + // shift right C2* by Ex-128 = shiftright128[ind] + if (ind >= 3) { + shift = shiftright128[ind]; + if (shift < 64) { // 3 <= shift <= 63 + R256.w[2] = + (R256.w[2] >> shift) | (R256.w[3] << (64 - shift)); + R256.w[3] = (R256.w[3] >> shift); + } else { // 66 <= shift <= 102 + R256.w[2] = (R256.w[3] >> (shift - 64)); + R256.w[3] = 0x0ULL; + } + } + if (second_pass) { + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } + // determine inexactness of the rounding of C2* (this may be + // followed by a second rounding only if we get P34+1 + // decimal digits) + // if (0 < f2* - 1/2 < 10^(-x1)) then + // the result is exact + // else (if f2* - 1/2 > T* then) + // the result of is inexact + if (ind <= 2) { + if (R256.w[1] > 0x8000000000000000ull || + (R256.w[1] == 0x8000000000000000ull + && R256.w[0] > 0x0ull)) { + // f2* > 1/2 and the result may be exact + tmp64A = R256.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64A > ten2mk128trunc[ind].w[1] + || (tmp64A == ten2mk128trunc[ind].w[1] + && R256.w[0] >= ten2mk128trunc[ind].w[0]))) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; // may be set again during a second pass + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_inexact_lt_midpoint = 1; + else // if (x_sign != y_sign) + is_inexact_gt_midpoint = 1; + } // else the result is exact + // rounding down, unless a midpoint in [ODD, EVEN] + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; // just in case we will round a second time + // rounding up, unless a midpoint in [EVEN, ODD] + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_inexact_gt_midpoint = 1; + else // if (x_sign != y_sign) + is_inexact_lt_midpoint = 1; + } + } else if (ind <= 21) { // if 3 <= ind <= 21 + if (highf2star.w[1] > 0x0 || (highf2star.w[1] == 0x0 + && highf2star.w[0] > + onehalf128[ind]) + || (highf2star.w[1] == 0x0 + && highf2star.w[0] == onehalf128[ind] + && (R256.w[1] || R256.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64A = highf2star.w[0] - onehalf128[ind]; + tmp64B = highf2star.w[1]; + if (tmp64A > highf2star.w[0]) + tmp64B--; + if (tmp64B || tmp64A + || R256.w[1] > ten2mk128trunc[ind].w[1] + || (R256.w[1] == ten2mk128trunc[ind].w[1] + && R256.w[0] > ten2mk128trunc[ind].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; // may be set again during a second pass + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_inexact_lt_midpoint = 1; + else // if (x_sign != y_sign) + is_inexact_gt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; // may be set again during a second pass + // rounding up, unless a midpoint in [EVEN, ODD] + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_inexact_gt_midpoint = 1; + else // if (x_sign != y_sign) + is_inexact_lt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (highf2star.w[1] > onehalf128[ind] + || (highf2star.w[1] == onehalf128[ind] + && (highf2star.w[0] || R256.w[1] + || R256.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + // tmp64A = highf2star.w[0]; + tmp64B = highf2star.w[1] - onehalf128[ind]; + if (tmp64B || highf2star.w[0] + || R256.w[1] > ten2mk128trunc[ind].w[1] + || (R256.w[1] == ten2mk128trunc[ind].w[1] + && R256.w[0] > ten2mk128trunc[ind].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; // may be set again during a second pass + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_inexact_lt_midpoint = 1; + else // if (x_sign != y_sign) + is_inexact_gt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; // may be set again during a second pass + // rounding up, unless a midpoint in [EVEN, ODD] + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_inexact_gt_midpoint = 1; + else // if (x_sign != y_sign) + is_inexact_lt_midpoint = 1; + } + } + // check for midpoints + if ((R256.w[1] || R256.w[0]) && (highf2star.w[1] == 0) + && (highf2star.w[0] == 0) + && (R256.w[1] < ten2mk128trunc[ind].w[1] + || (R256.w[1] == ten2mk128trunc[ind].w[1] + && R256.w[0] <= ten2mk128trunc[ind].w[0]))) { + // the result is a midpoint + if ((tmp64 + R256.w[2]) & 0x01) { // MP in [EVEN, ODD] + // if floor(C2*) is odd C = floor(C2*) - 1; the result may be 0 + R256.w[2]--; + if (R256.w[2] == 0xffffffffffffffffull) + R256.w[3]--; + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_midpoint_gt_even = 1; + else // if (x_sign != y_sign) + is_midpoint_lt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } else { + // else MP in [ODD, EVEN] + // this rounding is applied to C2 only! + if (x_sign == y_sign) + is_midpoint_lt_even = 1; + else // if (x_sign != y_sign) + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + // end if (ind >= 0) + } else { // if (ind == -1); only during a 2nd pass, and when x1 = 0 + R256.w[2] = C2_lo; + R256.w[3] = C2_hi; + tmp_inexact = 0; + // to correct a possible setting to 1 from 1st pass + if (second_pass) { + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + // and now add/subtract C1 * 10^(e1-e2-x1) +/- (C2 * 10^(-x1))rnd,P34 + if (x_sign == y_sign) { // addition; could overflow + // no second pass is possible this way (only for x_sign != y_sign) + C1.w[0] = C1.w[0] + R256.w[2]; + C1.w[1] = C1.w[1] + R256.w[3]; + if (C1.w[0] < tmp64) + C1.w[1]++; // carry + // if the sum has P34+1 digits, i.e. C1>=10^34 redo the calculation + // with x1=x1+1 + if (C1.w[1] > 0x0001ed09bead87c0ull || (C1.w[1] == 0x0001ed09bead87c0ull && C1.w[0] >= 0x378d8e6400000000ull)) { // C1 >= 10^34 + // chop off one more digit from the sum, but make sure there is + // no double-rounding error (see table - double rounding logic) + // now round C1 from P34+1 to P34 decimal digits + // C1' = C1 + 1/2 * 10 = C1 + 5 + if (C1.w[0] >= 0xfffffffffffffffbull) { // low half add has carry + C1.w[0] = C1.w[0] + 5; + C1.w[1] = C1.w[1] + 1; + } else { + C1.w[0] = C1.w[0] + 5; + } + // the approximation of 10^(-1) was rounded up to 118 bits + __mul_128x128_to_256 (Q256, C1, ten2mk128[0]); // Q256 = C1*, f1* + // C1* is actually floor(C1*) in this case + // the top 128 bits of 10^(-1) are + // T* = ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f1* < 10^(-1)) then + // if floor(C1*) is even then C1* = floor(C1*) - logical right + // shift; C1* has p decimal digits, correct by Prop. 1) + // else if floor(C1*) is odd C1* = floor(C1*) - 1 (logical right + // shift; C1* has p decimal digits, correct by Pr. 1) + // else + // C1* = floor(C1*) (logical right shift; C has p decimal digits + // correct by Property 1) + // n = C1* * 10^(e2+x1+1) + if ((Q256.w[1] || Q256.w[0]) + && (Q256.w[1] < ten2mk128trunc[0].w[1] + || (Q256.w[1] == ten2mk128trunc[0].w[1] + && Q256.w[0] <= ten2mk128trunc[0].w[0]))) { + // the result is a midpoint + if (is_inexact_lt_midpoint) { // for the 1st rounding + is_inexact_gt_midpoint = 1; + is_inexact_lt_midpoint = 0; + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 0; + } else if (is_inexact_gt_midpoint) { // for the 1st rounding + Q256.w[2]--; + if (Q256.w[2] == 0xffffffffffffffffull) + Q256.w[3]--; + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 1; + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 0; + } else if (is_midpoint_gt_even) { // for the 1st rounding + // Note: cannot have is_midpoint_lt_even + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 1; + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 0; + } else { // the first rounding must have been exact + if (Q256.w[2] & 0x01) { // MP in [EVEN, ODD] + // the truncated result is correct + Q256.w[2]--; + if (Q256.w[2] == 0xffffffffffffffffull) + Q256.w[3]--; + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 0; + is_midpoint_gt_even = 1; + is_midpoint_lt_even = 0; + } else { // MP in [ODD, EVEN] + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 0; + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 1; + } + } + tmp_inexact = 1; // in all cases + } else { // the result is not a midpoint + // determine inexactness of the rounding of C1 (the sum C1+C2*) + // if (0 < f1* - 1/2 < 10^(-1)) then + // the result is exact + // else (if f1* - 1/2 > T* then) + // the result of is inexact + // ind = 0 + if (Q256.w[1] > 0x8000000000000000ull + || (Q256.w[1] == 0x8000000000000000ull + && Q256.w[0] > 0x0ull)) { + // f1* > 1/2 and the result may be exact + Q256.w[1] = Q256.w[1] - 0x8000000000000000ull; // f1* - 1/2 + if ((Q256.w[1] > ten2mk128trunc[0].w[1] + || (Q256.w[1] == ten2mk128trunc[0].w[1] + && Q256.w[0] > ten2mk128trunc[0].w[0]))) { + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 1; + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 0; + // set the inexact flag + tmp_inexact = 1; + // *pfpsf |= INEXACT_EXCEPTION; + } else { // else the result is exact for the 2nd rounding + if (tmp_inexact) { // if the previous rounding was inexact + if (is_midpoint_lt_even) { + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + } else if (is_midpoint_gt_even) { + is_inexact_lt_midpoint = 1; + is_midpoint_gt_even = 0; + } else { + ; // no change + } + } + } + // rounding down, unless a midpoint in [ODD, EVEN] + } else { // the result is inexact; f1* <= 1/2 + is_inexact_gt_midpoint = 1; + is_inexact_lt_midpoint = 0; + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 0; + // set the inexact flag + tmp_inexact = 1; + // *pfpsf |= INEXACT_EXCEPTION; + } + } // end 'the result is not a midpoint' + // n = C1 * 10^(e2+x1) + C1.w[1] = Q256.w[3]; + C1.w[0] = Q256.w[2]; + y_exp = y_exp + ((UINT64) (x1 + 1) << 49); + } else { // C1 < 10^34 + // C1.w[1] and C1.w[0] already set + // n = C1 * 10^(e2+x1) + y_exp = y_exp + ((UINT64) x1 << 49); + } + // check for overflow + if (y_exp == EXP_MAX_P1 + && (rnd_mode == ROUNDING_TO_NEAREST + || rnd_mode == ROUNDING_TIES_AWAY)) { + res.w[1] = 0x7800000000000000ull | x_sign; // +/-inf + res.w[0] = 0x0ull; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + BID_SWAP128 (res); + BID_RETURN (res); + } // else no overflow + } else { // if x_sign != y_sign the result of this subtract. is exact + C1.w[0] = C1.w[0] - R256.w[2]; + C1.w[1] = C1.w[1] - R256.w[3]; + if (C1.w[0] > tmp64) + C1.w[1]--; // borrow + if (C1.w[1] >= 0x8000000000000000ull) { // negative coefficient! + C1.w[0] = ~C1.w[0]; + C1.w[0]++; + C1.w[1] = ~C1.w[1]; + if (C1.w[0] == 0x0) + C1.w[1]++; + tmp_sign = y_sign; + // the result will have the sign of y if last rnd + } else { + tmp_sign = x_sign; + } + // if the difference has P34-1 digits or less, i.e. C1 < 10^33 then + // redo the calculation with x1=x1-1; + // redo the calculation also if C1 = 10^33 and + // (is_inexact_gt_midpoint or is_midpoint_lt_even); + // (the last part should have really been + // (is_inexact_lt_midpoint or is_midpoint_gt_even) from + // the rounding of C2, but the position flags have been reversed) + // 10^33 = 0x0000314dc6448d93 0x38c15b0a00000000 + if ((C1.w[1] < 0x0000314dc6448d93ull || (C1.w[1] == 0x0000314dc6448d93ull && C1.w[0] < 0x38c15b0a00000000ull)) || (C1.w[1] == 0x0000314dc6448d93ull && C1.w[0] == 0x38c15b0a00000000ull && (is_inexact_gt_midpoint || is_midpoint_lt_even))) { // C1=10^33 + x1 = x1 - 1; // x1 >= 0 + if (x1 >= 0) { + // clear position flags and tmp_inexact + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + tmp_inexact = 0; + second_pass = 1; + goto roundC2; // else result has less than P34 digits + } + } + // if the coefficient of the result is 10^34 it means that this + // must be the second pass, and we are done + if (C1.w[1] == 0x0001ed09bead87c0ull && C1.w[0] == 0x378d8e6400000000ull) { // if C1 = 10^34 + C1.w[1] = 0x0000314dc6448d93ull; // C1 = 10^33 + C1.w[0] = 0x38c15b0a00000000ull; + y_exp = y_exp + ((UINT64) 1 << 49); + } + x_sign = tmp_sign; + if (x1 >= 1) + y_exp = y_exp + ((UINT64) x1 << 49); + // x1 = -1 is possible at the end of a second pass when the + // first pass started with x1 = 1 + } + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + // general correction from RN to RA, RM, RP, RZ; result uses y_exp + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((!x_sign + && ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint) + || + ((rnd_mode == ROUNDING_TIES_AWAY + || rnd_mode == ROUNDING_UP) + && is_midpoint_gt_even))) || (x_sign + && + ((rnd_mode == + ROUNDING_DOWN + && + is_inexact_lt_midpoint) + || + ((rnd_mode == + ROUNDING_TIES_AWAY + || rnd_mode == + ROUNDING_DOWN) + && + is_midpoint_gt_even)))) + { + // C1 = C1 + 1 + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + y_exp = y_exp + EXP_P1; + } + } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) + && + ((x_sign + && (rnd_mode == ROUNDING_UP + || rnd_mode == ROUNDING_TO_ZERO)) + || (!x_sign + && (rnd_mode == ROUNDING_DOWN + || rnd_mode == ROUNDING_TO_ZERO)))) { + // C1 = C1 - 1 + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi--; + // check if we crossed into the lower decade + if (C1_hi == 0x0000314dc6448d93ull && C1_lo == 0x38c15b09ffffffffull) { // 10^33 - 1 + C1_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C1_lo = 0x378d8e63ffffffffull; + y_exp = y_exp - EXP_P1; + // no underflow, because delta + q2 >= P34 + 1 + } + } else { + ; // exact, the result is already correct + } + // in all cases check for overflow (RN and RA solved already) + if (y_exp == EXP_MAX_P1) { // overflow + if ((rnd_mode == ROUNDING_DOWN && x_sign) || // RM and res < 0 + (rnd_mode == ROUNDING_UP && !x_sign)) { // RP and res > 0 + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + } else { // RM and res > 0, RP and res < 0, or RZ + C1_hi = 0x5fffed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + } + y_exp = 0; // x_sign is preserved + // set the inexact flag (in case the exact addition was exact) + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + // assemble the result + res.w[1] = x_sign | y_exp | C1_hi; + res.w[0] = C1_lo; + if (tmp_inexact) + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if (-P34 + 1 <= delta <= -1) <=> 1 <= -delta <= P34 - 1 + // NOTE: the following, up to "} else { // if x_sign != y_sign + // the result is exact" is identical to "else if (delta == P34 - q2) {" + // from above; also, the code is not symmetric: a+b and b+a may take + // different paths (need to unify eventually!) + // calculate C' = C2 + C1 * 10^(e1-e2) directly; the result may be + // inexact if it requires P34 + 1 decimal digits; in either case the + // 'cutoff' point for addition is at the position of the lsb of C2 + // The coefficient of the result is C1 * 10^(e1-e2) + C2 and the + // exponent is e2; either C1 or 10^(e1-e2) may not fit is 64 bits, + // but their product fits with certainty in 128 bits (actually in 113) + // Note that 0 <= e1 - e2 <= P34 - 2 + // -P34 + 1 <= delta <= -1 <=> -P34 + 1 <= delta <= -1 <=> + // -P34 + 1 <= q1 + e1 - q2 - e2 <= -1 <=> + // q2 - q1 - P34 + 1 <= e1 - e2 <= q2 - q1 - 1 <=> + // 1 - P34 - P34 + 1 <= e1-e2 <= P34 - 1 - 1 => 0 <= e1-e2 <= P34 - 2 + scale = delta - q1 + q2; // scale = (int)(e1 >> 49) - (int)(e2 >> 49) + if (scale >= 20) { // 10^(e1-e2) does not fit in 64 bits, but C1 does + __mul_128x64_to_128 (C1, C1_lo, ten2k128[scale - 20]); + } else if (scale >= 1) { + // if 1 <= scale <= 19 then 10^(e1-e2) fits in 64 bits + if (q1 <= 19) { // C1 fits in 64 bits + __mul_64x64_to_128MACH (C1, C1_lo, ten2k64[scale]); + } else { // q1 >= 20 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; + __mul_128x64_to_128 (C1, ten2k64[scale], C1); + } + } else { // if (scale == 0) C1 is unchanged + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; // only the low part is necessary + } + C1_hi = C1.w[1]; + C1_lo = C1.w[0]; + // now add C2 + if (x_sign == y_sign) { + // the result can overflow! + C1_lo = C1_lo + C2_lo; + C1_hi = C1_hi + C2_hi; + if (C1_lo < C1.w[0]) + C1_hi++; + // test for overflow, possible only when C1 >= 10^34 + if (C1_hi > 0x0001ed09bead87c0ull || (C1_hi == 0x0001ed09bead87c0ull && C1_lo >= 0x378d8e6400000000ull)) { // C1 >= 10^34 + // in this case q = P34 + 1 and x = q - P34 = 1, so multiply + // C'' = C'+ 5 = C1 + 5 by k1 ~ 10^(-1) calculated for P34 + 1 + // decimal digits + // Calculate C'' = C' + 1/2 * 10^x + if (C1_lo >= 0xfffffffffffffffbull) { // low half add has carry + C1_lo = C1_lo + 5; + C1_hi = C1_hi + 1; + } else { + C1_lo = C1_lo + 5; + } + // the approximation of 10^(-1) was rounded up to 118 bits + // 10^(-1) =~ 33333333333333333333333333333400 * 2^-129 + // 10^(-1) =~ 19999999999999999999999999999a00 * 2^-128 + C1.w[1] = C1_hi; + C1.w[0] = C1_lo; // C'' + ten2m1.w[1] = 0x1999999999999999ull; + ten2m1.w[0] = 0x9999999999999a00ull; + __mul_128x128_to_256 (P256, C1, ten2m1); // P256 = C*, f* + // C* is actually floor(C*) in this case + // the top Ex = 128 bits of 10^(-1) are + // T* = 0x00199999999999999999999999999999 + // if (0 < f* < 10^(-x)) then + // if floor(C*) is even then C = floor(C*) - logical right + // shift; C has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C = floor(C*) - 1 (logical right + // shift; C has p decimal digits, correct by Pr. 1) + // else + // C = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C * 10^(e2+x) + if ((P256.w[1] || P256.w[0]) + && (P256.w[1] < 0x1999999999999999ull + || (P256.w[1] == 0x1999999999999999ull + && P256.w[0] <= 0x9999999999999999ull))) { + // the result is a midpoint + if (P256.w[2] & 0x01) { + is_midpoint_gt_even = 1; + // if floor(C*) is odd C = floor(C*) - 1; the result is not 0 + P256.w[2]--; + if (P256.w[2] == 0xffffffffffffffffull) + P256.w[3]--; + } else { + is_midpoint_lt_even = 1; + } + } + // n = Cstar * 10^(e2+1) + y_exp = y_exp + EXP_P1; + // C* != 10^P34 because C* has P34 digits + // check for overflow + if (y_exp == EXP_MAX_P1 + && (rnd_mode == ROUNDING_TO_NEAREST + || rnd_mode == ROUNDING_TIES_AWAY)) { + // overflow for RN + res.w[1] = x_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0ull; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + BID_SWAP128 (res); + BID_RETURN (res); + } + // if (0 < f* - 1/2 < 10^(-x)) then + // the result of the addition is exact + // else + // the result of the addition is inexact + if (P256.w[1] > 0x8000000000000000ull || (P256.w[1] == 0x8000000000000000ull && P256.w[0] > 0x0ull)) { // the result may be exact + tmp64 = P256.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > 0x1999999999999999ull + || (tmp64 == 0x1999999999999999ull + && P256.w[0] >= 0x9999999999999999ull))) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact = 1; + } // else the result is exact + } else { // the result is inexact + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact = 1; + } + C1_hi = P256.w[3]; + C1_lo = P256.w[2]; + if (!is_midpoint_gt_even && !is_midpoint_lt_even) { + is_inexact_lt_midpoint = is_inexact + && (P256.w[1] & 0x8000000000000000ull); + is_inexact_gt_midpoint = is_inexact + && !(P256.w[1] & 0x8000000000000000ull); + } + // general correction from RN to RA, RM, RP, RZ; result uses y_exp + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((!x_sign + && ((rnd_mode == ROUNDING_UP + && is_inexact_lt_midpoint) + || ((rnd_mode == ROUNDING_TIES_AWAY + || rnd_mode == ROUNDING_UP) + && is_midpoint_gt_even))) || (x_sign + && + ((rnd_mode == + ROUNDING_DOWN + && + is_inexact_lt_midpoint) + || + ((rnd_mode == + ROUNDING_TIES_AWAY + || rnd_mode + == + ROUNDING_DOWN) + && + is_midpoint_gt_even)))) + { + // C1 = C1 + 1 + C1_lo = C1_lo + 1; + if (C1_lo == 0) { // rounding overflow in the low 64 bits + C1_hi = C1_hi + 1; + } + if (C1_hi == 0x0001ed09bead87c0ull + && C1_lo == 0x378d8e6400000000ull) { + // C1 = 10^34 => rounding overflow + C1_hi = 0x0000314dc6448d93ull; + C1_lo = 0x38c15b0a00000000ull; // 10^33 + y_exp = y_exp + EXP_P1; + } + } else + if ((is_midpoint_lt_even || is_inexact_gt_midpoint) && + ((x_sign && (rnd_mode == ROUNDING_UP || + rnd_mode == ROUNDING_TO_ZERO)) || + (!x_sign && (rnd_mode == ROUNDING_DOWN || + rnd_mode == ROUNDING_TO_ZERO)))) { + // C1 = C1 - 1 + C1_lo = C1_lo - 1; + if (C1_lo == 0xffffffffffffffffull) + C1_hi--; + // check if we crossed into the lower decade + if (C1_hi == 0x0000314dc6448d93ull && C1_lo == 0x38c15b09ffffffffull) { // 10^33 - 1 + C1_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C1_lo = 0x378d8e63ffffffffull; + y_exp = y_exp - EXP_P1; + // no underflow, because delta + q2 >= P34 + 1 + } + } else { + ; // exact, the result is already correct + } + // in all cases check for overflow (RN and RA solved already) + if (y_exp == EXP_MAX_P1) { // overflow + if ((rnd_mode == ROUNDING_DOWN && x_sign) || // RM and res < 0 + (rnd_mode == ROUNDING_UP && !x_sign)) { // RP and res > 0 + C1_hi = 0x7800000000000000ull; // +inf + C1_lo = 0x0ull; + } else { // RM and res > 0, RP and res < 0, or RZ + C1_hi = 0x5fffed09bead87c0ull; + C1_lo = 0x378d8e63ffffffffull; + } + y_exp = 0; // x_sign is preserved + // set the inexact flag (in case the exact addition was exact) + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + } + } // else if (C1 < 10^34) then C1 is the coeff.; the result is exact + // assemble the result + res.w[1] = x_sign | y_exp | C1_hi; + res.w[0] = C1_lo; + } else { // if x_sign != y_sign the result is exact + C1_lo = C2_lo - C1_lo; + C1_hi = C2_hi - C1_hi; + if (C1_lo > C2_lo) + C1_hi--; + if (C1_hi >= 0x8000000000000000ull) { // negative coefficient! + C1_lo = ~C1_lo; + C1_lo++; + C1_hi = ~C1_hi; + if (C1_lo == 0x0) + C1_hi++; + x_sign = y_sign; // the result will have the sign of y + } + // the result can be zero, but it cannot overflow + if (C1_lo == 0 && C1_hi == 0) { + // assemble the result + if (x_exp < y_exp) + res.w[1] = x_exp; + else + res.w[1] = y_exp; + res.w[0] = 0; + if (rnd_mode == ROUNDING_DOWN) { + res.w[1] |= 0x8000000000000000ull; + } + BID_SWAP128 (res); + BID_RETURN (res); + } + // assemble the result + res.w[1] = y_sign | y_exp | C1_hi; + res.w[0] = C1_lo; + } + } + } + BID_SWAP128 (res); + BID_RETURN (res) + } +} + + + +// bid128_sub stands for bid128qq_sub + +/***************************************************************************** + * BID128 sub + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_sub (UINT128 * pres, UINT128 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128_sub (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 res; + UINT64 y_sign; + + if ((y.w[HIGH_128W] & MASK_NAN) != MASK_NAN) { // y is not NAN + // change its sign + y_sign = y.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + if (y_sign) + y.w[HIGH_128W] = y.w[HIGH_128W] & 0x7fffffffffffffffull; + else + y.w[HIGH_128W] = y.w[HIGH_128W] | 0x8000000000000000ull; + } +#if DECIMAL_CALL_BY_REFERENCE + bid128_add (&res, &x, &y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid128_add (x, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_compare.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_compare.c new file mode 100644 index 0000000000..74c4f04ea2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_compare.c @@ -0,0 +1,4346 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_equal, x, y) + + int res; + int exp_x, exp_y, exp_t; + UINT128 sig_x, sig_y, sig_t; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equivalent. +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + if ((y.w[1] & MASK_INF) == MASK_INF) { + res = (((x.w[1] ^ y.w[1]) & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else { + res = 0; + BID_RETURN (res); + } +} +if ((y.w[1] & MASK_INF) == MASK_INF) { + res = 0; + BID_RETURN (res); +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} else if ((x_is_zero && !y_is_zero) || (!x_is_zero && y_is_zero)) { + res = 0; + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ => not equal : return 0 +if ((x.w[1] ^ y.w[1]) & MASK_SIGN) { + res = 0; + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) +if (exp_x > exp_y) { // to simplify the loop below, + SWAP (exp_x, exp_y, exp_t); // put the larger exp in y, + SWAP (sig_x.w[1], sig_y.w[1], sig_t.w[1]); // and the smaller exp in x + SWAP (sig_x.w[0], sig_y.w[0], sig_t.w[0]); // and the smaller exp in x +} + + +if (exp_y - exp_x > 33) { + res = 0; + BID_RETURN (res); +} // difference cannot be greater than 10^33 + +if (exp_y - exp_x > 19) { + // recalculate y's significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, + ten2k128[exp_y - exp_x - 20]); + { + res = ((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && (sig_n_prime256.w[1] == sig_x.w[1]) + && (sig_n_prime256.w[0] == sig_x.w[0])); + BID_RETURN (res); + } + +} + //else{ + // recalculate y's significand upwards +__mul_64x128_to_192 (sig_n_prime192, ten2k64[exp_y - exp_x], sig_y); +{ + res = ((sig_n_prime192.w[2] == 0) + && (sig_n_prime192.w[1] == sig_x.w[1]) + && (sig_n_prime192.w[0] == sig_x.w[0])); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_greater, x, + y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, rather than + // equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => + // return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) || + (sig_n_prime192.w[1] > sig_y.w[1]) || + (sig_n_prime192.w[1] == sig_y.w[1] && + sig_n_prime192.w[0] > sig_y.w[0])) ^ + ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 || + (sig_n_prime256.w[1] > sig_x.w[1] || + (sig_n_prime256.w[1] == sig_x.w[1] && + sig_n_prime256.w[0] > sig_x.w[0]))) ^ + ((x.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_quiet_greater_equal, x, + y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && (y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison of the + // significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = ((sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 1 +{ + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_quiet_greater_unordered, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than + // equal : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => + // return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison of the + // significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_less, x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || (y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 0; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison of the + // significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 1 + { + res = ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_less_equal, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 1 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => + // return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison of the + // significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) || (sig_x.w[1] == sig_y.w[1] && + sig_x.w[0] >= + sig_y.w[0])) ^ ((x. + w[1] & + MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_quiet_less_unordered, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || (y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 0; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 1 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_not_equal, + x, y) + + int res; + int exp_x, exp_y, exp_t; + UINT128 sig_x, sig_y, sig_t; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equivalent. +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + if ((y.w[1] & MASK_INF) == MASK_INF) { + res = (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else { + res = 1; + BID_RETURN (res); + } +} +if ((y.w[1] & MASK_INF) == MASK_INF) { + res = 1; + BID_RETURN (res); +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} else if ((x_is_zero && !y_is_zero) || (!x_is_zero && y_is_zero)) { + res = 1; + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ => not equal : return 0 +if ((x.w[1] ^ y.w[1]) & MASK_SIGN) { + res = 1; + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) +if (exp_x > exp_y) { // to simplify the loop below, + SWAP (exp_x, exp_y, exp_t); // put the larger exp in y, + SWAP (sig_x.w[1], sig_y.w[1], sig_t.w[1]); // and the smaller exp in x + SWAP (sig_x.w[0], sig_y.w[0], sig_t.w[0]); // and the smaller exp in x +} + + +if (exp_y - exp_x > 33) { + res = 1; + BID_RETURN (res); +} // difference cannot be greater than 10^33 + +if (exp_y - exp_x > 19) { + // recalculate y's significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, + ten2k128[exp_y - exp_x - 20]); + { + res = ((sig_n_prime256.w[3] != 0) || (sig_n_prime256.w[2] != 0) + || (sig_n_prime256.w[1] != sig_x.w[1]) + || (sig_n_prime256.w[0] != sig_x.w[0])); + BID_RETURN (res); + } + +} + //else{ + // recalculate y's significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[exp_y - exp_x], sig_y); +{ + res = ((sig_n_prime192.w[2] != 0) + || (sig_n_prime192.w[1] != sig_x.w[1]) + || (sig_n_prime192.w[0] != sig_x.w[0])); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_not_greater, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 1 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_not_less, x, + y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && (y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = + ((sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 1 +{ + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_ordered, x, + y) + + int res; + + // NaN (CASE1) + // if either number is NAN, the comparison is ordered : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 0; + BID_RETURN (res); +} +} +{ + res = 1; + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_quiet_unordered, + x, y) + + int res; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +if ((x.w[1] & MASK_SNAN) == MASK_SNAN + || (y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; +} +{ + res = 1; + BID_RETURN (res); +} +} +{ + res = 0; + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_signaling_greater, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_signaling_greater_equal, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && (y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = + ((sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 1 +{ + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_signaling_greater_unordered, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = + ((sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, bid128_signaling_less, x, + y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || (y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 0; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, |x| < |y|, return 1 if positive +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 1 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_signaling_less_equal, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 0; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 1 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_signaling_less_unordered, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 0; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) != MASK_INF) + || (y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 0; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); + } // if equal, return 1 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 0; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_signaling_not_greater, + x, y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 1 + if (((x.w[1] & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive infinity => return y!=pos_infinity + else { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) != MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 0 + { + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger + // (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 0 +{ + res = (sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (int, + bid128_signaling_not_less, x, + y) + + int res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 1 +if (((x.w[1] & MASK_NAN) == MASK_NAN) + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { +*pfpsf |= INVALID_EXCEPTION; +{ + res = 1; + BID_RETURN (res); +} +} + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). +if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = 1; + BID_RETURN (res); +} + // INFINITY (CASE3) +if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y.w[1] & MASK_INF) == MASK_INF) + && (y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } +} else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } +} + // CONVERT X +sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; +sig_x.w[0] = x.w[0]; +exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF X IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_x = 1; +else + non_canon_x = 0; + + // CONVERT Y +exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; +sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; +sig_y.w[0] = y.w[0]; + + // CHECK IF Y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. +if ((sig_y.w[1] > 0x0001ed09bead87c0ull) + || ((sig_y.w[1] == 0x0001ed09bead87c0ull) + && (sig_y.w[0] > 0x378d8e63ffffffffull)) + || ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) + non_canon_y = 1; +else + non_canon_y = 0; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore + // ignore the exponent field + // (Any non-canonical # is considered 0) +if (non_canon_x || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; +} +if (non_canon_y || ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; +} + // if both numbers are zero, neither is greater => return NOTGREATERTHAN +if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); +} + // is x is zero, it is greater if Y is negative +else if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // is y is zero, X is greater if it is positive +else if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative +if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + // REDUNDANT REPRESENTATIONS (CASE6) + + // if exponents are the same, then we have a simple comparison + // of the significands +if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + // if both components are either bigger or smaller, + // it is clear what needs to be done +if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); +} +if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand +if (diff > 0) { // to simplify the loop below, + + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } // difference cannot be greater than 10^33 + + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } + //else { //128 by 64 bit multiply -> 192 bits + __mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_x); + + // if postitive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = (((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + +diff = exp_y - exp_x; + + // if exp_x is 33 less than exp_y, no need for compensation +if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); + } // if equal, return 1 + { + res = + ((sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } +} + //else { //128 by 64 bit multiply -> 192 bits + // adjust the y significand upwards +__mul_64x128_to192 (sig_n_prime192, ten2k64[diff], sig_y); + + // if postitive, return whichever significand is larger (converse if negative) +if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = 1; + BID_RETURN (res); +} // if equal, return 1 +{ + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_div.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_div.c new file mode 100644 index 0000000000..c3789affec --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_div.c @@ -0,0 +1,1851 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_div_macros.h" +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +#include + +#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT +#endif + +extern UINT32 convert_table[5][128][2]; +extern SINT8 factors[][2]; +extern UINT8 packed_10000_zeros[]; + +BID128_FUNCTION_ARG2 (bid128_div, x, y) + + UINT256 CA4, CA4r, P256; + UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, res; + UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, PD, + valid_y; + int_float fx, fy, f64; + UINT32 QX32, tdigit[3], digit, digit_h, digit_low; + int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; + int nzeros, i, j, k, d5; + unsigned rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + +valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y); + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + // test if x is NaN +if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull || // sNaN + (y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = (CX.w[1]) & QUIET_MASK64; + res.w[0] = CX.w[0]; + BID_RETURN (res); +} + // x is Infinity? +if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + // y is NaN? + if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull)) + // return NaN + { + // return +/-Inf + res.w[1] = ((x.w[1] ^ y.w[1]) & 0x8000000000000000ull) | + 0x7800000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } +} + // x is 0 +if ((y.w[1] & 0x7800000000000000ull) < 0x7800000000000000ull) { + if ((!CY.w[0]) && !(CY.w[1] & 0x0001ffffffffffffull)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + // return 0 + res.w[1] = (x.w[1] ^ y.w[1]) & 0x8000000000000000ull; + exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128; + if (exponent_x > DECIMAL_MAX_EXPON_128) + exponent_x = DECIMAL_MAX_EXPON_128; + else if (exponent_x < 0) + exponent_x = 0; + res.w[1] |= (((UINT64) exponent_x) << 49); + res.w[0] = 0; + BID_RETURN (res); +} +} +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = CY.w[1] & QUIET_MASK64; + res.w[0] = CY.w[0]; + BID_RETURN (res); + } + // y is Infinity? + if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return +/-0 + res.w[1] = sign_x ^ sign_y; + res.w[0] = 0; + BID_RETURN (res); + } + // y is 0, return +/-Inf +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + res.w[1] = + ((x.w[1] ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; + res.w[0] = 0; + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128; + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 33; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + if (!CR.w[1] && !CR.w[0]) { + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + ed2 = 34 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + T128.w[1] = power10_table_128[ed2].w[1]; + __mul_128x128_to_256 (CA4, CR, T128); + diff_expon = diff_expon - ed2; + __mul_128x128_low (CQ, CQ, T128); + +} + +__div_256_by_128 (&CQ, &CA4, CY); + +#ifdef SET_STATUS_FLAGS +if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +} +#ifndef LEAVE_TRAILING_ZEROS +else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS +if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact +{ + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + //T128 = reciprocals10_128[17]; + T128.w[0] = 0x44909befeb9fad49ull; + T128.w[1] = 0x000b877aa3236a4bull; + __mul_128x128_to_256 (P256, CQ, T128); + //amount = recip_scale[17]; + Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44)); + Q_low = CQ.w[0] - Q_high * 100000000000000000ull; + + if (!Q_low) { + diff_expon += 17; + + tdigit[0] = Q_high & 0x3ffffff; + tdigit[1] = 0; + QX = Q_high >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64 + amount = short_recip_scale[nzeros]; + CQ.w[0] = CQ.w[1] >> amount; + } else + CQ.w[0] = Q_high; + CQ.w[1] = 0; + + diff_expon += nzeros; + } else { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + //now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); +} +#endif + +if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + +} else { +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + + handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ, + CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + +} + +get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +BID_RETURN (res); +} + + +//#define LEAVE_TRAILING_ZEROS + +TYPE0_FUNCTION_ARGTYPE1_ARGTYPE2 (UINT128, bid128dd_div, UINT64, x, + UINT64, y) + + UINT256 CA4, CA4r, P256; + UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, res; + UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, PD, + valid_y; + int_float fx, fy, f64; + UINT32 QX32, tdigit[3], digit, digit_h, digit_low; + int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; + int nzeros, i, j, k, d5; + unsigned rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + +valid_y = unpack_BID64 (&sign_y, &exponent_y, &CY.w[0], y); + + // unpack arguments, check for NaN or Infinity +CX.w[1] = 0; +if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], (x))) { +#ifdef SET_STATUS_FLAGS +if ((y & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + + // test if x is NaN +if ((x & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (CX.w[0] & 0x0003ffffffffffffull); + __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]); + res.w[1] |= ((CX.w[0]) & 0xfc00000000000000ull); + BID_RETURN (res); +} + // x is Infinity? +if (((x) & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if ((((y) & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + if ((((y) & 0x7c00000000000000ull) != 0x7c00000000000000ull)) { + // otherwise return +/-Inf + res.w[1] = + (((x) ^ (y)) & 0x8000000000000000ull) | 0x7800000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } +} + // x is 0 +if ((((y) & 0x7800000000000000ull) != 0x7800000000000000ull)) { + if(!CY.w[0]) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); +} + // return 0 +res.w[1] = ((x) ^ (y)) & 0x8000000000000000ull; +if (((y) & 0x6000000000000000ull) == 0x6000000000000000ull) + exponent_y = ((UINT32) ((y) >> 51)) & 0x3ff; +else + exponent_y = ((UINT32) ((y) >> 53)) & 0x3ff; +exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128; +if (exponent_x > DECIMAL_MAX_EXPON_128) + exponent_x = DECIMAL_MAX_EXPON_128; +else if (exponent_x < 0) + exponent_x = 0; +res.w[1] |= (((UINT64) exponent_x) << 49); +res.w[0] = 0; +BID_RETURN (res); +} +} + +CY.w[1] = 0; +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (CY.w[0] & 0x0003ffffffffffffull); + __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]); + res.w[1] |= ((CY.w[0]) & 0xfc00000000000000ull); + BID_RETURN (res); + } + // y is Infinity? + if (((y) & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return +/-0 + res.w[1] = sign_x ^ sign_y; + res.w[0] = 0; + BID_RETURN (res); + } + // y is 0, return +/-Inf + res.w[1] = + (((x) ^ (y)) & 0x8000000000000000ull) | 0x7800000000000000ull; + res.w[0] = 0; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128; + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 33; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + if (!CR.w[1] && !CR.w[0]) { + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + ed2 = 34 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + T128.w[1] = power10_table_128[ed2].w[1]; + __mul_128x128_to_256 (CA4, CR, T128); + diff_expon = diff_expon - ed2; + __mul_128x128_low (CQ, CQ, T128); + +} + +__div_256_by_128 (&CQ, &CA4, CY); + + +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact + { + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2]; + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + //T128 = reciprocals10_128[17]; + T128.w[0] = 0x44909befeb9fad49ull; + T128.w[1] = 0x000b877aa3236a4bull; + __mul_128x128_to_256 (P256, CQ, T128); + //amount = recip_scale[17]; + Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44)); + Q_low = CQ.w[0] - Q_high * 100000000000000000ull; + + if (!Q_low) { + diff_expon += 17; + + tdigit[0] = Q_high & 0x3ffffff; + tdigit[1] = 0; + QX = Q_high >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64 + amount = short_recip_scale[nzeros]; + CQ.w[0] = CQ.w[1] >> amount; + } else + CQ.w[0] = Q_high; + CQ.w[1] = 0; + + diff_expon += nzeros; + } else { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + get_BID128(&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } +#endif + +if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + +} else { +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ, + CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + +} + +get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +BID_RETURN (res); +} + + +BID128_FUNCTION_ARGTYPE1_ARG128 (bid128dq_div, UINT64, x, y) + UINT256 CA4, CA4r, P256; + UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, res; + UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, valid_y, + PD; + int_float fx, fy, f64; + UINT32 QX32, tdigit[3], digit, digit_h, digit_low; + int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; + int nzeros, i, j, k, d5; + unsigned rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + +valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y); + + // unpack arguments, check for NaN or Infinity +CX.w[1] = 0; +if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], x)) { +#ifdef SET_STATUS_FLAGS +if ((y.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + + // test if x is NaN +if ((x & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (CX.w[0] & 0x0003ffffffffffffull); + __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]); + res.w[1] |= ((CX.w[0]) & 0xfc00000000000000ull); + BID_RETURN (res); +} + // x is Infinity? +if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull)) { + // otherwise return +/-Inf + res.w[1] = + ((x ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } +} + // x is 0 +if ((y.w[1] & INFINITY_MASK64) != INFINITY_MASK64) { + if ((!CY.w[0]) && !(CY.w[1] & 0x0001ffffffffffffull)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + // return 0 + res.w[1] = (x ^ y.w[1]) & 0x8000000000000000ull; + exponent_x = exponent_x - exponent_y + (DECIMAL_EXPONENT_BIAS_128<<1) - DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_128) + exponent_x = DECIMAL_MAX_EXPON_128; + else if (exponent_x < 0) + exponent_x = 0; + res.w[1] |= (((UINT64) exponent_x) << 49); + res.w[0] = 0; + BID_RETURN (res); +} +} +exponent_x += (DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS); + +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = CY.w[1] & QUIET_MASK64; + res.w[0] = CY.w[0]; + BID_RETURN (res); + } + // y is Infinity? + if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return +/-0 + res.w[1] = sign_x ^ sign_y; + res.w[0] = 0; + BID_RETURN (res); + } + // y is 0, return +/-Inf + res.w[1] = + ((x ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; + res.w[0] = 0; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128; + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 33; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + if (!CR.w[1] && !CR.w[0]) { + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + ed2 = 34 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + T128.w[1] = power10_table_128[ed2].w[1]; + __mul_128x128_to_256 (CA4, CR, T128); + diff_expon = diff_expon - ed2; + __mul_128x128_low (CQ, CQ, T128); + +} + +__div_256_by_128 (&CQ, &CA4, CY); + +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact + { + //printf("ed2=%d,nz=%d,a=%d,CQ="LX16","LX16", RH="LX16", RL="LX16"\n",ed2,nzeros,amount,CQ.w[1],CQ.w[0],reciprocals10_128[nzeros].w[1],reciprocals10_128[nzeros].w[0]);fflush(stdout); + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2]; + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + //T128 = reciprocals10_128[17]; + T128.w[0] = 0x44909befeb9fad49ull; + T128.w[1] = 0x000b877aa3236a4bull; + __mul_128x128_to_256 (P256, CQ, T128); + //amount = recip_scale[17]; + Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44)); + Q_low = CQ.w[0] - Q_high * 100000000000000000ull; + + if (!Q_low) { + diff_expon += 17; + + tdigit[0] = Q_high & 0x3ffffff; + tdigit[1] = 0; + QX = Q_high >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + //printf("i=%d, nz=%d, digit=%d (%d, %016I64x %016I64x)\n",i,nzeros,digit_h,digit,PD,digit_h);fflush(stdout); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64 + amount = short_recip_scale[nzeros]; + CQ.w[0] = CQ.w[1] >> amount; + } else + CQ.w[0] = Q_high; + CQ.w[1] = 0; + + diff_expon += nzeros; + } else { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + //printf("i=%d, nz=%d, digit=%d (%d, %016I64x %016I64x)\n",i,nzeros,digit_h,digit,PD,digit_h);fflush(stdout); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } +#endif + +if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + +} else { +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ, + CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); +} + +get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +BID_RETURN (res); + +} + + +BID128_FUNCTION_ARG128_ARGTYPE2 (bid128qd_div, x, UINT64, y) + UINT256 CA4, CA4r, P256; + UINT128 CX, CY, T128, CQ, CR, CA, TP128, Qh, res; + UINT64 sign_x, sign_y, T, carry64, D, Q_high, Q_low, QX, PD, + valid_y; + int_float fx, fy, f64; + UINT32 QX32, tdigit[3], digit, digit_h, digit_low; + int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; + int nzeros, i, j, k, d5, rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + + +valid_y = unpack_BID64 (&sign_y, &exponent_y, &CY.w[0], y); + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + // test if x is NaN +if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull || // sNaN + (y & 0x7e00000000000000ull) == 0x7e00000000000000ull) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = (CX.w[1]) & QUIET_MASK64; + res.w[0] = CX.w[0]; + BID_RETURN (res); +} + // x is Infinity? +if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + // y is NaN? + if (((y & 0x7c00000000000000ull) != 0x7c00000000000000ull)) + // return NaN + { + // return +/-Inf + res.w[1] = ((x.w[1] ^ y) & 0x8000000000000000ull) | + 0x7800000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } +} + // x is 0 +if ((y & 0x7800000000000000ull) < 0x7800000000000000ull) { + if (!CY.w[0]) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + // return 0 + res.w[1] = (x.w[1] ^ y) & 0x8000000000000000ull; + exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_128) + exponent_x = DECIMAL_MAX_EXPON_128; + else if (exponent_x < 0) + exponent_x = 0; + res.w[1] |= (((UINT64) exponent_x) << 49); + res.w[0] = 0; + BID_RETURN (res); +} +} +CY.w[1] = 0; +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (CY.w[0] & 0x0003ffffffffffffull); + __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]); + res.w[1] |= ((CY.w[0]) & 0xfc00000000000000ull); + BID_RETURN (res); + } + // y is Infinity? + if ((y & INFINITY_MASK64) == INFINITY_MASK64) { + // return +/-0 + res.w[1] = ((x.w[1] ^ y) & 0x8000000000000000ull); + res.w[0] = 0; + BID_RETURN (res); + } + // y is 0 +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + res.w[1] = (sign_x ^ sign_y) | INFINITY_MASK64; + res.w[0] = 0; + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 33; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + if (!CR.w[1] && !CR.w[0]) { + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + ed2 = 34 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + T128.w[1] = power10_table_128[ed2].w[1]; + __mul_128x128_to_256 (CA4, CR, T128); + diff_expon = diff_expon - ed2; + __mul_128x128_low (CQ, CQ, T128); + +} + +__div_256_by_128 (&CQ, &CA4, CY); + + +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact + { + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2]; + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + //T128 = reciprocals10_128[17]; + T128.w[0] = 0x44909befeb9fad49ull; + T128.w[1] = 0x000b877aa3236a4bull; + __mul_128x128_to_256 (P256, CQ, T128); + //amount = recip_scale[17]; + Q_high = (P256.w[2] >> 44) | (P256.w[3] << (64 - 44)); + Q_low = CQ.w[0] - Q_high * 100000000000000000ull; + + if (!Q_low) { + diff_expon += 17; + + tdigit[0] = Q_high & 0x3ffffff; + tdigit[1] = 0; + QX = Q_high >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + __mul_64x64_to_128 (CQ, Q_high, reciprocals10_64[nzeros]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-64 + amount = short_recip_scale[nzeros]; + CQ.w[0] = CQ.w[1] >> amount; + } else + CQ.w[0] = Q_high; + CQ.w[1] = 0; + + diff_expon += nzeros; + } else { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode,pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } +#endif + +if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + +} else { +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + handle_UF_128_rem (&res, sign_x ^ sign_y, diff_expon, CQ, + CA4.w[1] | CA4.w[0], &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + +} + +get_BID128 (&res, sign_x ^ sign_y, diff_expon, CQ, &rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_fma.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_fma.c new file mode 100644 index 0000000000..d8fcdea1be --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_fma.c @@ -0,0 +1,4458 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * + * BID128 fma x * y + z + * + ****************************************************************************/ + +#include "bid_internal.h" + +static void +rounding_correction (unsigned int rnd_mode, + unsigned int is_inexact_lt_midpoint, + unsigned int is_inexact_gt_midpoint, + unsigned int is_midpoint_lt_even, + unsigned int is_midpoint_gt_even, + int unbexp, + UINT128 * ptrres, _IDEC_flags * ptrfpsf) { + // unbiased true exponent unbexp may be larger than emax + + UINT128 res = *ptrres; // expected to have the correct sign and coefficient + // (the exponent field is ignored, as unbexp is used instead) + UINT64 sign, exp; + UINT64 C_hi, C_lo; + + // general correction from RN to RA, RM, RP, RZ + // Note: if the result is negative, then is_inexact_lt_midpoint, + // is_inexact_gt_midpoint, is_midpoint_lt_even, and is_midpoint_gt_even + // have to be considered as if determined for the absolute value of the + // result (so they seem to be reversed) + + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) { + *ptrfpsf |= INEXACT_EXCEPTION; + } + // apply correction to result calculated with unbounded exponent + sign = res.w[1] & MASK_SIGN; + exp = (UINT64) (unbexp + 6176) << 49; // valid only if expmin<=unbexp<=expmax + C_hi = res.w[1] & MASK_COEFF; + C_lo = res.w[0]; + if ((!sign && ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint) || + ((rnd_mode == ROUNDING_TIES_AWAY || rnd_mode == ROUNDING_UP) && + is_midpoint_gt_even))) || + (sign && ((rnd_mode == ROUNDING_DOWN && is_inexact_lt_midpoint) || + ((rnd_mode == ROUNDING_TIES_AWAY || rnd_mode == ROUNDING_DOWN) && + is_midpoint_gt_even)))) { + // C = C + 1 + C_lo = C_lo + 1; + if (C_lo == 0) + C_hi = C_hi + 1; + if (C_hi == 0x0001ed09bead87c0ull && C_lo == 0x378d8e6400000000ull) { + // C = 10^34 => rounding overflow + C_hi = 0x0000314dc6448d93ull; + C_lo = 0x38c15b0a00000000ull; // 10^33 + // exp = exp + EXP_P1; + unbexp = unbexp + 1; + exp = (UINT64) (unbexp + 6176) << 49; + } + } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) && + ((sign && (rnd_mode == ROUNDING_UP || rnd_mode == ROUNDING_TO_ZERO)) || + (!sign && (rnd_mode == ROUNDING_DOWN || rnd_mode == ROUNDING_TO_ZERO)))) { + // C = C - 1 + C_lo = C_lo - 1; + if (C_lo == 0xffffffffffffffffull) + C_hi--; + // check if we crossed into the lower decade + if (C_hi == 0x0000314dc6448d93ull && C_lo == 0x38c15b09ffffffffull) { + // C = 10^33 - 1 + if (exp > 0) { + C_hi = 0x0001ed09bead87c0ull; // 10^34 - 1 + C_lo = 0x378d8e63ffffffffull; + // exp = exp - EXP_P1; + unbexp = unbexp - 1; + exp = (UINT64) (unbexp + 6176) << 49; + } else { // if exp = 0 the result is tiny & inexact + *ptrfpsf |= UNDERFLOW_EXCEPTION; + } + } + } else { + ; // the result is already correct + } + if (unbexp > expmax) { // 6111 + *ptrfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + exp = 0; + if (!sign) { // result is positive + if (rnd_mode == ROUNDING_UP || rnd_mode == ROUNDING_TIES_AWAY) { // +inf + C_hi = 0x7800000000000000ull; + C_lo = 0x0000000000000000ull; + } else { // res = +MAXFP = (10^34-1) * 10^emax + C_hi = 0x5fffed09bead87c0ull; + C_lo = 0x378d8e63ffffffffull; + } + } else { // result is negative + if (rnd_mode == ROUNDING_DOWN || rnd_mode == ROUNDING_TIES_AWAY) { // -inf + C_hi = 0xf800000000000000ull; + C_lo = 0x0000000000000000ull; + } else { // res = -MAXFP = -(10^34-1) * 10^emax + C_hi = 0xdfffed09bead87c0ull; + C_lo = 0x378d8e63ffffffffull; + } + } + } + // assemble the result + res.w[1] = sign | exp | C_hi; + res.w[0] = C_lo; + *ptrres = res; +} + +static void +add256 (UINT256 x, UINT256 y, UINT256 * pz) { + // *z = x + yl assume the sum fits in 256 bits + UINT256 z; + z.w[0] = x.w[0] + y.w[0]; + if (z.w[0] < x.w[0]) { + x.w[1]++; + if (x.w[1] == 0x0000000000000000ull) { + x.w[2]++; + if (x.w[2] == 0x0000000000000000ull) { + x.w[3]++; + } + } + } + z.w[1] = x.w[1] + y.w[1]; + if (z.w[1] < x.w[1]) { + x.w[2]++; + if (x.w[2] == 0x0000000000000000ull) { + x.w[3]++; + } + } + z.w[2] = x.w[2] + y.w[2]; + if (z.w[2] < x.w[2]) { + x.w[3]++; + } + z.w[3] = x.w[3] + y.w[3]; // it was assumed that no carry is possible + *pz = z; +} + +static void +sub256 (UINT256 x, UINT256 y, UINT256 * pz) { + // *z = x - y; assume x >= y + UINT256 z; + z.w[0] = x.w[0] - y.w[0]; + if (z.w[0] > x.w[0]) { + x.w[1]--; + if (x.w[1] == 0xffffffffffffffffull) { + x.w[2]--; + if (x.w[2] == 0xffffffffffffffffull) { + x.w[3]--; + } + } + } + z.w[1] = x.w[1] - y.w[1]; + if (z.w[1] > x.w[1]) { + x.w[2]--; + if (x.w[2] == 0xffffffffffffffffull) { + x.w[3]--; + } + } + z.w[2] = x.w[2] - y.w[2]; + if (z.w[2] > x.w[2]) { + x.w[3]--; + } + z.w[3] = x.w[3] - y.w[3]; // no borrow possible, because x >= y + *pz = z; +} + + +static int +nr_digits256 (UINT256 R256) { + int ind; + // determine the number of decimal digits in R256 + if (R256.w[3] == 0x0 && R256.w[2] == 0x0 && R256.w[1] == 0x0) { + // between 1 and 19 digits + for (ind = 1; ind <= 19; ind++) { + if (R256.w[0] < ten2k64[ind]) { + break; + } + } + // ind digits + } else if (R256.w[3] == 0x0 && R256.w[2] == 0x0 && + (R256.w[1] < ten2k128[0].w[1] || + (R256.w[1] == ten2k128[0].w[1] + && R256.w[0] < ten2k128[0].w[0]))) { + // 20 digits + ind = 20; + } else if (R256.w[3] == 0x0 && R256.w[2] == 0x0) { + // between 21 and 38 digits + for (ind = 1; ind <= 18; ind++) { + if (R256.w[1] < ten2k128[ind].w[1] || + (R256.w[1] == ten2k128[ind].w[1] && + R256.w[0] < ten2k128[ind].w[0])) { + break; + } + } + // ind + 20 digits + ind = ind + 20; + } else if (R256.w[3] == 0x0 && + (R256.w[2] < ten2k256[0].w[2] || + (R256.w[2] == ten2k256[0].w[2] && + R256.w[1] < ten2k256[0].w[1]) || + (R256.w[2] == ten2k256[0].w[2] && + R256.w[1] == ten2k256[0].w[1] && + R256.w[0] < ten2k256[0].w[0]))) { + // 39 digits + ind = 39; + } else { + // between 40 and 68 digits + for (ind = 1; ind <= 29; ind++) { + if (R256.w[3] < ten2k256[ind].w[3] || + (R256.w[3] == ten2k256[ind].w[3] && + R256.w[2] < ten2k256[ind].w[2]) || + (R256.w[3] == ten2k256[ind].w[3] && + R256.w[2] == ten2k256[ind].w[2] && + R256.w[1] < ten2k256[ind].w[1]) || + (R256.w[3] == ten2k256[ind].w[3] && + R256.w[2] == ten2k256[ind].w[2] && + R256.w[1] == ten2k256[ind].w[1] && + R256.w[0] < ten2k256[ind].w[0])) { + break; + } + } + // ind + 39 digits + ind = ind + 39; + } + return (ind); +} + +// add/subtract C4 and C3 * 10^scale; this may follow a previous rounding, so +// use the rounding information from ptr_is_* to avoid a double rounding error +static void +add_and_round (int q3, + int q4, + int e4, + int delta, + int p34, + UINT64 z_sign, + UINT64 p_sign, + UINT128 C3, + UINT256 C4, + int rnd_mode, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint, + _IDEC_flags * ptrfpsf, UINT128 * ptrres) { + + int scale; + int x0; + int ind; + UINT64 R64; + UINT128 P128, R128; + UINT192 P192, R192; + UINT256 R256; + int is_midpoint_lt_even = 0; + int is_midpoint_gt_even = 0; + int is_inexact_lt_midpoint = 0; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even0 = 0; + int is_midpoint_gt_even0 = 0; + int is_inexact_lt_midpoint0 = 0; + int is_inexact_gt_midpoint0 = 0; + int incr_exp = 0; + int is_tiny = 0; + int lt_half_ulp = 0; + int eq_half_ulp = 0; + // int gt_half_ulp = 0; + UINT128 res = *ptrres; + + // scale C3 up by 10^(q4-delta-q3), 0 <= q4-delta-q3 <= 2*P34-2 = 66 + scale = q4 - delta - q3; // 0 <= scale <= 66 (or 0 <= scale <= 68 if this + // comes from Cases (2), (3), (4), (5), (6), with 0 <= |delta| <= 1 + + // calculate C3 * 10^scale in R256 (it has at most 67 decimal digits for + // Cases (15),(16),(17) and at most 69 for Cases (2),(3),(4),(5),(6)) + if (scale == 0) { + R256.w[3] = 0x0ull; + R256.w[2] = 0x0ull; + R256.w[1] = C3.w[1]; + R256.w[0] = C3.w[0]; + } else if (scale <= 19) { // 10^scale fits in 64 bits + P128.w[1] = 0; + P128.w[0] = ten2k64[scale]; + __mul_128x128_to_256 (R256, P128, C3); + } else if (scale <= 38) { // 10^scale fits in 128 bits + __mul_128x128_to_256 (R256, ten2k128[scale - 20], C3); + } else if (scale <= 57) { // 39 <= scale <= 57 + // 10^scale fits in 192 bits but C3 * 10^scale fits in 223 or 230 bits + // (10^67 has 223 bits; 10^69 has 230 bits); + // must split the computation: + // 10^scale * C3 = 10*38 * 10^(scale-38) * C3 where 10^38 takes 127 + // bits and so 10^(scale-38) * C3 fits in 128 bits with certainty + // Note that 1 <= scale - 38 <= 19 => 10^(scale-38) fits in 64 bits + __mul_64x128_to_128 (R128, ten2k64[scale - 38], C3); + // now multiply R128 by 10^38 + __mul_128x128_to_256 (R256, R128, ten2k128[18]); + } else { // 58 <= scale <= 66 + // 10^scale takes between 193 and 220 bits, + // and C3 * 10^scale fits in 223 bits (10^67/10^69 has 223/230 bits) + // must split the computation: + // 10^scale * C3 = 10*38 * 10^(scale-38) * C3 where 10^38 takes 127 + // bits and so 10^(scale-38) * C3 fits in 128 bits with certainty + // Note that 20 <= scale - 38 <= 30 => 10^(scale-38) fits in 128 bits + // Calculate first 10^(scale-38) * C3, which fits in 128 bits; because + // 10^(scale-38) takes more than 64 bits, C3 will take less than 64 + __mul_64x128_to_128 (R128, C3.w[0], ten2k128[scale - 58]); + // now calculate 10*38 * 10^(scale-38) * C3 + __mul_128x128_to_256 (R256, R128, ten2k128[18]); + } + // C3 * 10^scale is now in R256 + + // for Cases (15), (16), (17) C4 > C3 * 10^scale because C4 has at least + // one extra digit; for Cases (2), (3), (4), (5), or (6) any order is + // possible + // add/subtract C4 and C3 * 10^scale; the exponent is e4 + if (p_sign == z_sign) { // R256 = C4 + R256 + // calculate R256 = C4 + C3 * 10^scale = C4 + R256 which is exact, + // but may require rounding + add256 (C4, R256, &R256); + } else { // if (p_sign != z_sign) { // R256 = C4 - R256 + // calculate R256 = C4 - C3 * 10^scale = C4 - R256 or + // R256 = C3 * 10^scale - C4 = R256 - C4 which is exact, + // but may require rounding + + // compare first R256 = C3 * 10^scale and C4 + if (R256.w[3] > C4.w[3] || (R256.w[3] == C4.w[3] && R256.w[2] > C4.w[2]) || + (R256.w[3] == C4.w[3] && R256.w[2] == C4.w[2] && R256.w[1] > C4.w[1]) || + (R256.w[3] == C4.w[3] && R256.w[2] == C4.w[2] && R256.w[1] == C4.w[1] && + R256.w[0] >= C4.w[0])) { // C3 * 10^scale >= C4 + // calculate R256 = C3 * 10^scale - C4 = R256 - C4, which is exact, + // but may require rounding + sub256 (R256, C4, &R256); + // flip p_sign too, because the result has the sign of z + p_sign = z_sign; + } else { // if C4 > C3 * 10^scale + // calculate R256 = C4 - C3 * 10^scale = C4 - R256, which is exact, + // but may require rounding + sub256 (C4, R256, &R256); + } + // if the result is pure zero, the sign depends on the rounding mode + // (x*y and z had opposite signs) + if (R256.w[3] == 0x0ull && R256.w[2] == 0x0ull && + R256.w[1] == 0x0ull && R256.w[0] == 0x0ull) { + if (rnd_mode != ROUNDING_DOWN) + p_sign = 0x0000000000000000ull; + else + p_sign = 0x8000000000000000ull; + // the exponent is max (e4, expmin) + if (e4 < -6176) + e4 = expmin; + // assemble result + res.w[1] = p_sign | ((UINT64) (e4 + 6176) << 49); + res.w[0] = 0x0; + *ptrres = res; + return; + } + } + + // determine the number of decimal digits in R256 + ind = nr_digits256 (R256); + + // the exact result is (-1)^p_sign * R256 * 10^e4 where q (R256) = ind; + // round to the destination precision, with unbounded exponent + + if (ind <= p34) { + // result rounded to the destination precision with unbounded exponent + // is exact + if (ind + e4 < p34 + expmin) { + is_tiny = 1; // applies to all rounding modes + } + res.w[1] = p_sign | ((UINT64) (e4 + 6176) << 49) | R256.w[1]; + res.w[0] = R256.w[0]; + // Note: res is correct only if expmin <= e4 <= expmax + } else { // if (ind > p34) + // if more than P digits, round to nearest to P digits + // round R256 to p34 digits + x0 = ind - p34; // 1 <= x0 <= 34 as 35 <= ind <= 68 + if (ind <= 38) { + P128.w[1] = R256.w[1]; + P128.w[0] = R256.w[0]; + round128_19_38 (ind, x0, P128, &R128, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + } else if (ind <= 57) { + P192.w[2] = R256.w[2]; + P192.w[1] = R256.w[1]; + P192.w[0] = R256.w[0]; + round192_39_57 (ind, x0, P192, &R192, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + R128.w[1] = R192.w[1]; + R128.w[0] = R192.w[0]; + } else { // if (ind <= 68) + round256_58_76 (ind, x0, R256, &R256, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + R128.w[1] = R256.w[1]; + R128.w[0] = R256.w[0]; + } + // the rounded result has p34 = 34 digits + e4 = e4 + x0 + incr_exp; + if (rnd_mode == ROUNDING_TO_NEAREST) { + if (e4 < expmin) { + is_tiny = 1; // for other rounding modes apply correction + } + } else { + // for RM, RP, RZ, RA apply correction in order to determine tininess + // but do not save the result; apply the correction to + // (-1)^p_sign * significand * 10^0 + P128.w[1] = p_sign | 0x3040000000000000ull | R128.w[1]; + P128.w[0] = R128.w[0]; + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, is_midpoint_lt_even, + is_midpoint_gt_even, 0, &P128, ptrfpsf); + scale = ((P128.w[1] & MASK_EXP) >> 49) - 6176; // -1, 0, or +1 + // the number of digits in the significand is p34 = 34 + if (e4 + scale < expmin) { + is_tiny = 1; + } + } + ind = p34; // the number of decimal digits in the signifcand of res + res.w[1] = p_sign | ((UINT64) (e4 + 6176) << 49) | R128.w[1]; // RN + res.w[0] = R128.w[0]; + // Note: res is correct only if expmin <= e4 <= expmax + // set the inexact flag after rounding with bounded exponent, if any + } + // at this point we have the result rounded with unbounded exponent in + // res and we know its tininess: + // res = (-1)^p_sign * significand * 10^e4, + // where q (significand) = ind <= p34 + // Note: res is correct only if expmin <= e4 <= expmax + + // check for overflow if RN + if (rnd_mode == ROUNDING_TO_NEAREST && (ind + e4) > (p34 + expmax)) { + res.w[1] = p_sign | 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + *ptrres = res; + *ptrfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + return; // BID_RETURN (res) + } // else not overflow or not RN, so continue + + // if (e4 >= expmin) we have the result rounded with bounded exponent + if (e4 < expmin) { + x0 = expmin - e4; // x0 >= 1; the number of digits to chop off of res + // where the result rounded [at most] once is + // (-1)^p_sign * significand_res * 10^e4 + + // avoid double rounding error + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + + if (x0 > ind) { + // nothing is left of res when moving the decimal point left x0 digits + is_inexact_lt_midpoint = 1; + res.w[1] = p_sign | 0x0000000000000000ull; + res.w[0] = 0x0000000000000000ull; + e4 = expmin; + } else if (x0 == ind) { // 1 <= x0 = ind <= p34 = 34 + // this is <, =, or > 1/2 ulp + // compare the ind-digit value in the significand of res with + // 1/2 ulp = 5*10^(ind-1), i.e. determine whether it is + // less than, equal to, or greater than 1/2 ulp (significand of res) + R128.w[1] = res.w[1] & MASK_COEFF; + R128.w[0] = res.w[0]; + if (ind <= 19) { + if (R128.w[0] < midpoint64[ind - 1]) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (R128.w[0] == midpoint64[ind - 1]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + // gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + } else { // if (ind <= 38) { + if (R128.w[1] < midpoint128[ind - 20].w[1] || + (R128.w[1] == midpoint128[ind - 20].w[1] && + R128.w[0] < midpoint128[ind - 20].w[0])) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (R128.w[1] == midpoint128[ind - 20].w[1] && + R128.w[0] == midpoint128[ind - 20].w[0]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + // gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + } + if (lt_half_ulp || eq_half_ulp) { + // res = +0.0 * 10^expmin + res.w[1] = 0x0000000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // if (gt_half_ulp) + // res = +1 * 10^expmin + res.w[1] = 0x0000000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + res.w[1] = p_sign | res.w[1]; + e4 = expmin; + } else { // if (1 <= x0 <= ind - 1 <= 33) + // round the ind-digit result to ind - x0 digits + + if (ind <= 18) { // 2 <= ind <= 18 + round64_2_18 (ind, x0, res.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + res.w[1] = 0x0; + res.w[0] = R64; + } else if (ind <= 38) { + P128.w[1] = res.w[1] & MASK_COEFF; + P128.w[0] = res.w[0]; + round128_19_38 (ind, x0, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } + e4 = e4 + x0; // expmin + // we want the exponent to be expmin, so if incr_exp = 1 then + // multiply the rounded result by 10 - it will still fit in 113 bits + if (incr_exp) { + // 64 x 128 -> 128 + P128.w[1] = res.w[1] & MASK_COEFF; + P128.w[0] = res.w[0]; + __mul_64x128_to_128 (res, ten2k64[1], P128); + } + res.w[1] = + p_sign | ((UINT64) (e4 + 6176) << 49) | (res.w[1] & MASK_COEFF); + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // Note: a double rounding error upward is not possible; for this + // the result after the first rounding would have to be 99...95 + // (35 digits in all), possibly followed by a number of zeros; this + // is not possible in Cases (2)-(6) or (15)-(17) which may get here + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + } + } + // res contains the correct result + // apply correction if not rounding to nearest + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e4, &res, ptrfpsf); + } + if (is_midpoint_lt_even || is_midpoint_gt_even || + is_inexact_lt_midpoint || is_inexact_gt_midpoint) { + // set the inexact flag + *ptrfpsf |= INEXACT_EXCEPTION; + if (is_tiny) + *ptrfpsf |= UNDERFLOW_EXCEPTION; + } + + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + *ptrres = res; + return; +} + + +#if DECIMAL_CALL_BY_REFERENCE +static void +bid128_ext_fma (int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint, UINT128 * pres, + UINT128 * px, UINT128 * py, + UINT128 * + pz _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +static UINT128 +bid128_ext_fma (int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint, UINT128 x, UINT128 y, + UINT128 z _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT64 x_sign, y_sign, z_sign, p_sign, tmp_sign; + UINT64 x_exp = 0, y_exp = 0, z_exp = 0, p_exp; + int true_p_exp; + UINT128 C1, C2, C3; + UINT256 C4; + int q1 = 0, q2 = 0, q3 = 0, q4; + int e1, e2, e3, e4; + int scale, ind, delta, x0; + int p34 = P34; // used to modify the limit on the number of digits + BID_UI64DOUBLE tmp; + int x_nr_bits, y_nr_bits, z_nr_bits; + unsigned int save_fpsf; + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0; + int is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even0 = 0, is_midpoint_gt_even0 = 0; + int is_inexact_lt_midpoint0 = 0, is_inexact_gt_midpoint0 = 0; + int incr_exp = 0; + int lsb; + int lt_half_ulp = 0; + int eq_half_ulp = 0; + int gt_half_ulp = 0; + int is_tiny = 0; + UINT64 R64, tmp64; + UINT128 P128, R128; + UINT192 P192, R192; + UINT256 R256; + + // the following are based on the table of special cases for fma; the NaN + // behavior is similar to that of the IA-64 Architecture fma + + // identify cases where at least one operand is NaN + + BID_SWAP128 (x); + BID_SWAP128 (y); + BID_SWAP128 (z); + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + // if x = {0, f, inf, NaN}, y = NaN, z = {0, f, inf, NaN} then res = Q (y) + // check first for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (y) + res.w[1] = y.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = y.w[0]; + } else { // y is QNaN + // return y + res.w[1] = y.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = y.w[0]; + // if z = SNaN or x = SNaN signal invalid exception + if ((z.w[1] & MASK_SNAN) == MASK_SNAN || + (x.w[1] & MASK_SNAN) == MASK_SNAN) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } else if ((z.w[1] & MASK_NAN) == MASK_NAN) { // z is NAN + // if x = {0, f, inf, NaN}, y = {0, f, inf}, z = NaN then res = Q (z) + // check first for non-canonical NaN payload + if (((z.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((z.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (z.w[0] > 0x38c15b09ffffffffull))) { + z.w[1] = z.w[1] & 0xffffc00000000000ull; + z.w[0] = 0x0ull; + } + if ((z.w[1] & MASK_SNAN) == MASK_SNAN) { // z is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (z) + res.w[1] = z.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = z.w[0]; + } else { // z is QNaN + // return z + res.w[1] = z.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = z.w[0]; + // if x = SNaN signal invalid exception + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } else if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, y = {0, f, inf}, z = {0, f, inf} then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // x, y, z are 0, f, or inf but not NaN => unpack the arguments and check + // for non-canonical values + + x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((x.w[1] & MASK_ANY_INF) != MASK_INF) { // x != inf + // if x is not infinity check for non-canonical values - treated as zero + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull && + C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } + } + } + y_sign = y.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C2.w[1] = y.w[1] & MASK_COEFF; + C2.w[0] = y.w[0]; + if ((y.w[1] & MASK_ANY_INF) != MASK_INF) { // y != inf + // if y is not infinity check for non-canonical values - treated as zero + if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C2.w[1] = 0; // significand high + C2.w[0] = 0; // significand low + } else { // G0_G1 != 11 + y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C2.w[1] > 0x0001ed09bead87c0ull || + (C2.w[1] == 0x0001ed09bead87c0ull && + C2.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + C2.w[1] = 0; + C2.w[0] = 0; + } else { // canonical + ; + } + } + } + z_sign = z.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C3.w[1] = z.w[1] & MASK_COEFF; + C3.w[0] = z.w[0]; + if ((z.w[1] & MASK_ANY_INF) != MASK_INF) { // z != inf + // if z is not infinity check for non-canonical values - treated as zero + if ((z.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + z_exp = (z.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C3.w[1] = 0; // significand high + C3.w[0] = 0; // significand low + } else { // G0_G1 != 11 + z_exp = z.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C3.w[1] > 0x0001ed09bead87c0ull || + (C3.w[1] == 0x0001ed09bead87c0ull && + C3.w[0] > 0x378d8e63ffffffffull)) { + // z is non-canonical if coefficient is larger than 10^34 -1 + C3.w[1] = 0; + C3.w[0] = 0; + } else { // canonical + ; + } + } + } + + p_sign = x_sign ^ y_sign; // sign of the product + + // identify cases where at least one operand is infinity + + if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x = inf + if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + if ((z.w[1] & MASK_ANY_INF) == MASK_INF) { // z = inf + if (p_sign == z_sign) { + res.w[1] = z_sign | MASK_INF; + res.w[0] = 0x0; + } else { + // return QNaN Indefinite + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0x0000000000000000ull; + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } else { // z = 0 or z = f + res.w[1] = p_sign | MASK_INF; + res.w[0] = 0x0; + } + } else if (C2.w[1] != 0 || C2.w[0] != 0) { // y = f + if ((z.w[1] & MASK_ANY_INF) == MASK_INF) { // z = inf + if (p_sign == z_sign) { + res.w[1] = z_sign | MASK_INF; + res.w[0] = 0x0; + } else { + // return QNaN Indefinite + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0x0000000000000000ull; + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } else { // z = 0 or z = f + res.w[1] = p_sign | MASK_INF; + res.w[0] = 0x0; + } + } else { // y = 0 + // return QNaN Indefinite + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0x0000000000000000ull; + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } else if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + if ((z.w[1] & MASK_ANY_INF) == MASK_INF) { // z = inf + // x = f, necessarily + if ((p_sign != z_sign) + || (C1.w[1] == 0x0ull && C1.w[0] == 0x0ull)) { + // return QNaN Indefinite + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0x0000000000000000ull; + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } else { + res.w[1] = z_sign | MASK_INF; + res.w[0] = 0x0; + } + } else if (C1.w[1] == 0x0 && C1.w[0] == 0x0) { // x = 0 + // z = 0, f, inf + // return QNaN Indefinite + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0x0000000000000000ull; + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } else { + // x = f and z = 0, f, necessarily + res.w[1] = p_sign | MASK_INF; + res.w[0] = 0x0; + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } else if ((z.w[1] & MASK_ANY_INF) == MASK_INF) { // z = inf + // x = 0, f and y = 0, f, necessarily + res.w[1] = z_sign | MASK_INF; + res.w[0] = 0x0; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + + true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176; + if (true_p_exp < -6176) + p_exp = 0; // cannot be less than EXP_MIN + else + p_exp = (UINT64) (true_p_exp + 6176) << 49; + + if (((C1.w[1] == 0x0 && C1.w[0] == 0x0) || (C2.w[1] == 0x0 && C2.w[0] == 0x0)) && C3.w[1] == 0x0 && C3.w[0] == 0x0) { // (x = 0 or y = 0) and z = 0 + // the result is 0 + if (p_exp < z_exp) + res.w[1] = p_exp; // preferred exponent + else + res.w[1] = z_exp; // preferred exponent + if (p_sign == z_sign) { + res.w[1] |= z_sign; + res.w[0] = 0x0; + } else { // x * y and z have opposite signs + if (rnd_mode == ROUNDING_DOWN) { + // res = -0.0 + res.w[1] |= MASK_SIGN; + res.w[0] = 0x0; + } else { + // res = +0.0 + // res.w[1] |= 0x0; + res.w[0] = 0x0; + } + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // from this point on, we may need to know the number of decimal digits + // in the significands of x, y, z when x, y, z != 0 + + if (C1.w[1] != 0 || C1.w[0] != 0) { // x = f (non-zero finite) + // q1 = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q1 = nr_digits[x_nr_bits - 1].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi || + (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q1++; + } + } + + if (C2.w[1] != 0 || C2.w[0] != 0) { // y = f (non-zero finite) + if (C2.w[1] == 0) { + if (C2.w[0] >= 0x0020000000000000ull) { // y >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C2.w[0] >= 0x0000000100000000ull) { // y >= 2^32 + tmp.d = (double) (C2.w[0] >> 32); // exact conversion + y_nr_bits = + 32 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // y < 2^32 + tmp.d = (double) C2.w[0]; // exact conversion + y_nr_bits = + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if y < 2^53 + tmp.d = (double) C2.w[0]; // exact conversion + y_nr_bits = + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C2.w[1] != 0 => nr. bits = 64 + nr_bits (C2.w[1]) + tmp.d = (double) C2.w[1]; // exact conversion + y_nr_bits = + 64 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + + q2 = nr_digits[y_nr_bits].digits; + if (q2 == 0) { + q2 = nr_digits[y_nr_bits].digits1; + if (C2.w[1] > nr_digits[y_nr_bits].threshold_hi || + (C2.w[1] == nr_digits[y_nr_bits].threshold_hi && + C2.w[0] >= nr_digits[y_nr_bits].threshold_lo)) + q2++; + } + } + + if (C3.w[1] != 0 || C3.w[0] != 0) { // z = f (non-zero finite) + if (C3.w[1] == 0) { + if (C3.w[0] >= 0x0020000000000000ull) { // z >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C3.w[0] >= 0x0000000100000000ull) { // z >= 2^32 + tmp.d = (double) (C3.w[0] >> 32); // exact conversion + z_nr_bits = + 32 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // z < 2^32 + tmp.d = (double) C3.w[0]; // exact conversion + z_nr_bits = + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if z < 2^53 + tmp.d = (double) C3.w[0]; // exact conversion + z_nr_bits = + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C3.w[1] != 0 => nr. bits = 64 + nr_bits (C3.w[1]) + tmp.d = (double) C3.w[1]; // exact conversion + z_nr_bits = + 64 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + + q3 = nr_digits[z_nr_bits].digits; + if (q3 == 0) { + q3 = nr_digits[z_nr_bits].digits1; + if (C3.w[1] > nr_digits[z_nr_bits].threshold_hi || + (C3.w[1] == nr_digits[z_nr_bits].threshold_hi && + C3.w[0] >= nr_digits[z_nr_bits].threshold_lo)) + q3++; + } + } + + if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) || + (C2.w[1] == 0x0 && C2.w[0] == 0x0)) { + // x = 0 or y = 0 + // z = f, necessarily; for 0 + z return z, with the preferred exponent + // the result is z, but need to get the preferred exponent + if (z_exp <= p_exp) { // the preferred exponent is z_exp + res.w[1] = z_sign | (z_exp & MASK_EXP) | C3.w[1]; + res.w[0] = C3.w[0]; + } else { // if (p_exp < z_exp) the preferred exponent is p_exp + // return (C3 * 10^scale) * 10^(z_exp - scale) + // where scale = min (p34-q3, (z_exp-p_exp) >> 49) + scale = p34 - q3; + ind = (z_exp - p_exp) >> 49; + if (ind < scale) + scale = ind; + if (scale == 0) { + res.w[1] = z.w[1]; // & MASK_COEFF, which is redundant + res.w[0] = z.w[0]; + } else if (q3 <= 19) { // z fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C3.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C3.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C3.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C3.w[0], ten2k128[scale - 20]); + } + } else { // z fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], C3); + } + // subtract scale from the exponent + z_exp = z_exp - ((UINT64) scale << 49); + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } else { + ; // continue with x = f, y = f, z = 0 or x = f, y = f, z = f + } + + e1 = (x_exp >> 49) - 6176; // unbiased exponent of x + e2 = (y_exp >> 49) - 6176; // unbiased exponent of y + e3 = (z_exp >> 49) - 6176; // unbiased exponent of z + e4 = e1 + e2; // unbiased exponent of the exact x * y + + // calculate C1 * C2 and its number of decimal digits, q4 + + // the exact product has either q1 + q2 - 1 or q1 + q2 decimal digits + // where 2 <= q1 + q2 <= 68 + // calculate C4 = C1 * C2 and determine q + C4.w[3] = C4.w[2] = C4.w[1] = C4.w[0] = 0; + if (q1 + q2 <= 19) { // if 2 <= q1 + q2 <= 19, C4 = C1 * C2 fits in 64 bits + C4.w[0] = C1.w[0] * C2.w[0]; + // if C4 < 10^(q1+q2-1) then q4 = q1 + q2 - 1 else q4 = q1 + q2 + if (C4.w[0] < ten2k64[q1 + q2 - 1]) + q4 = q1 + q2 - 1; // q4 in [1, 18] + else + q4 = q1 + q2; // q4 in [2, 19] + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 64; + } else if (q1 + q2 == 20) { // C4 = C1 * C2 fits in 64 or 128 bits + // q1 <= 19 and q2 <= 19 so both C1 and C2 fit in 64 bits + __mul_64x64_to_128MACH (C4, C1.w[0], C2.w[0]); + // if C4 < 10^(q1+q2-1) = 10^19 then q4 = q1+q2-1 = 19 else q4 = q1+q2 = 20 + if (C4.w[1] == 0 && C4.w[0] < ten2k64[19]) { // 19 = q1+q2-1 + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 64; + q4 = 19; // 19 = q1 + q2 - 1 + } else { + // if (C4.w[1] == 0) + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 64; + // else + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 128; + q4 = 20; // 20 = q1 + q2 + } + } else if (q1 + q2 <= 38) { // 21 <= q1 + q2 <= 38 + // C4 = C1 * C2 fits in 64 or 128 bits + // (64 bits possibly, but only when q1 + q2 = 21 and C4 has 20 digits) + // at least one of C1, C2 has at most 19 decimal digits & fits in 64 bits + if (q1 <= 19) { + __mul_128x64_to_128 (C4, C1.w[0], C2); + } else { // q2 <= 19 + __mul_128x64_to_128 (C4, C2.w[0], C1); + } + // if C4 < 10^(q1+q2-1) then q4 = q1 + q2 - 1 else q4 = q1 + q2 + if (C4.w[1] < ten2k128[q1 + q2 - 21].w[1] || + (C4.w[1] == ten2k128[q1 + q2 - 21].w[1] && + C4.w[0] < ten2k128[q1 + q2 - 21].w[0])) { + // if (C4.w[1] == 0) // q4 = 20, necessarily + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 64; + // else + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 128; + q4 = q1 + q2 - 1; // q4 in [20, 37] + } else { + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 128; + q4 = q1 + q2; // q4 in [21, 38] + } + } else if (q1 + q2 == 39) { // C4 = C1 * C2 fits in 128 or 192 bits + // both C1 and C2 fit in 128 bits (actually in 113 bits) + // may replace this by 128x128_to192 + __mul_128x128_to_256 (C4, C1, C2); // C4.w[3] is 0 + // if C4 < 10^(q1+q2-1) = 10^38 then q4 = q1+q2-1 = 38 else q4 = q1+q2 = 39 + if (C4.w[2] == 0 && (C4.w[1] < ten2k128[18].w[1] || + (C4.w[1] == ten2k128[18].w[1] + && C4.w[0] < ten2k128[18].w[0]))) { + // 18 = 38 - 20 = q1+q2-1 - 20 + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 128; + q4 = 38; // 38 = q1 + q2 - 1 + } else { + // if (C4.w[2] == 0) + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 128; + // else + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 192; + q4 = 39; // 39 = q1 + q2 + } + } else if (q1 + q2 <= 57) { // 40 <= q1 + q2 <= 57 + // C4 = C1 * C2 fits in 128 or 192 bits + // (128 bits possibly, but only when q1 + q2 = 40 and C4 has 39 digits) + // both C1 and C2 fit in 128 bits (actually in 113 bits); at most one + // may fit in 64 bits + if (C1.w[1] == 0) { // C1 fits in 64 bits + // __mul_64x128_full (REShi64, RESlo128, A64, B128) + __mul_64x128_full (C4.w[2], C4, C1.w[0], C2); + } else if (C2.w[1] == 0) { // C2 fits in 64 bits + // __mul_64x128_full (REShi64, RESlo128, A64, B128) + __mul_64x128_full (C4.w[2], C4, C2.w[0], C1); + } else { // both C1 and C2 require 128 bits + // may use __mul_128x128_to_192 (C4.w[2], C4.w[0], C2.w[0], C1); + __mul_128x128_to_256 (C4, C1, C2); // C4.w[3] = 0 + } + // if C4 < 10^(q1+q2-1) then q4 = q1 + q2 - 1 else q4 = q1 + q2 + if (C4.w[2] < ten2k256[q1 + q2 - 40].w[2] || + (C4.w[2] == ten2k256[q1 + q2 - 40].w[2] && + (C4.w[1] < ten2k256[q1 + q2 - 40].w[1] || + (C4.w[1] == ten2k256[q1 + q2 - 40].w[1] && + C4.w[0] < ten2k256[q1 + q2 - 40].w[0])))) { + // if (C4.w[2] == 0) // q4 = 39, necessarily + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 128; + // else + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 192; + q4 = q1 + q2 - 1; // q4 in [39, 56] + } else { + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 192; + q4 = q1 + q2; // q4 in [40, 57] + } + } else if (q1 + q2 == 58) { // C4 = C1 * C2 fits in 192 or 256 bits + // both C1 and C2 fit in 128 bits (actually in 113 bits); at most one + // may fit in 64 bits + if (C1.w[1] == 0) { // C1 * C2 will fit in 192 bits + __mul_64x128_full (C4.w[2], C4, C1.w[0], C2); // may use 64x128_to_192 + } else if (C2.w[1] == 0) { // C1 * C2 will fit in 192 bits + __mul_64x128_full (C4.w[2], C4, C2.w[0], C1); // may use 64x128_to_192 + } else { // C1 * C2 will fit in 192 bits or in 256 bits + __mul_128x128_to_256 (C4, C1, C2); + } + // if C4 < 10^(q1+q2-1) = 10^57 then q4 = q1+q2-1 = 57 else q4 = q1+q2 = 58 + if (C4.w[3] == 0 && (C4.w[2] < ten2k256[18].w[2] || + (C4.w[2] == ten2k256[18].w[2] + && (C4.w[1] < ten2k256[18].w[1] + || (C4.w[1] == ten2k256[18].w[1] + && C4.w[0] < ten2k256[18].w[0]))))) { + // 18 = 57 - 39 = q1+q2-1 - 39 + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 192; + q4 = 57; // 57 = q1 + q2 - 1 + } else { + // if (C4.w[3] == 0) + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 192; + // else + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 256; + q4 = 58; // 58 = q1 + q2 + } + } else { // if 59 <= q1 + q2 <= 68 + // C4 = C1 * C2 fits in 192 or 256 bits + // (192 bits possibly, but only when q1 + q2 = 59 and C4 has 58 digits) + // both C1 and C2 fit in 128 bits (actually in 113 bits); none fits in + // 64 bits + // may use __mul_128x128_to_192 (C4.w[2], C4.w[0], C2.w[0], C1); + __mul_128x128_to_256 (C4, C1, C2); // C4.w[3] = 0 + // if C4 < 10^(q1+q2-1) then q4 = q1 + q2 - 1 else q4 = q1 + q2 + if (C4.w[3] < ten2k256[q1 + q2 - 40].w[3] || + (C4.w[3] == ten2k256[q1 + q2 - 40].w[3] && + (C4.w[2] < ten2k256[q1 + q2 - 40].w[2] || + (C4.w[2] == ten2k256[q1 + q2 - 40].w[2] && + (C4.w[1] < ten2k256[q1 + q2 - 40].w[1] || + (C4.w[1] == ten2k256[q1 + q2 - 40].w[1] && + C4.w[0] < ten2k256[q1 + q2 - 40].w[0])))))) { + // if (C4.w[3] == 0) // q4 = 58, necessarily + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 192; + // else + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 256; + q4 = q1 + q2 - 1; // q4 in [58, 67] + } else { + // length of C1 * C2 rounded up to a multiple of 64 bits is len = 256; + q4 = q1 + q2; // q4 in [59, 68] + } + } + + if (C3.w[1] == 0x0 && C3.w[0] == 0x0) { // x = f, y = f, z = 0 + save_fpsf = *pfpsf; // sticky bits - caller value must be preserved + *pfpsf = 0; + + if (q4 > p34) { + + // truncate C4 to p34 digits into res + // x = q4-p34, 1 <= x <= 34 because 35 <= q4 <= 68 + x0 = q4 - p34; + if (q4 <= 38) { + P128.w[1] = C4.w[1]; + P128.w[0] = C4.w[0]; + round128_19_38 (q4, x0, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } else if (q4 <= 57) { // 35 <= q4 <= 57 + P192.w[2] = C4.w[2]; + P192.w[1] = C4.w[1]; + P192.w[0] = C4.w[0]; + round192_39_57 (q4, x0, P192, &R192, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + res.w[0] = R192.w[0]; + res.w[1] = R192.w[1]; + } else { // if (q4 <= 68) + round256_58_76 (q4, x0, C4, &R256, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + res.w[0] = R256.w[0]; + res.w[1] = R256.w[1]; + } + e4 = e4 + x0; + if (incr_exp) { + e4 = e4 + 1; + } + q4 = p34; + // res is now the coefficient of the result rounded to the destination + // precision, with unbounded exponent; the exponent is e4; q4=digits(res) + } else { // if (q4 <= p34) + // C4 * 10^e4 is the result rounded to the destination precision, with + // unbounded exponent (which is exact) + + if ((q4 + e4 <= p34 + expmax) && (e4 > expmax)) { + // e4 is too large, but can be brought within range by scaling up C4 + scale = e4 - expmax; // 1 <= scale < P-q4 <= P-1 => 1 <= scale <= P-2 + // res = (C4 * 10^scale) * 10^expmax + if (q4 <= 19) { // C4 fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C4.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C4.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C4.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C4.w[0], ten2k128[scale - 20]); + } + } else { // C4 fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * CC43 + __mul_128x64_to_128 (res, ten2k64[scale], C4); + } + e4 = e4 - scale; // expmax + q4 = q4 + scale; + } else { + res.w[1] = C4.w[1]; + res.w[0] = C4.w[0]; + } + // res is the coefficient of the result rounded to the destination + // precision, with unbounded exponent (it has q4 digits); the exponent + // is e4 (exact result) + } + + // check for overflow + if (q4 + e4 > p34 + expmax) { + if (rnd_mode == ROUNDING_TO_NEAREST) { + res.w[1] = p_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + } else { + res.w[1] = p_sign | res.w[1]; + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e4, &res, pfpsf); + } + *pfpsf |= save_fpsf; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // check for underflow + if (q4 + e4 < expmin + P34) { + is_tiny = 1; // the result is tiny + if (e4 < expmin) { + // if e4 < expmin, we must truncate more of res + x0 = expmin - e4; // x0 >= 1 + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + // the number of decimal digits in res is q4 + if (x0 < q4) { // 1 <= x0 <= q4-1 => round res to q4 - x0 digits + if (q4 <= 18) { // 2 <= q4 <= 18, 1 <= x0 <= 17 + round64_2_18 (q4, x0, res.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + if (incr_exp) { + // R64 = 10^(q4-x0), 1 <= q4 - x0 <= q4 - 1, 1 <= q4 - x0 <= 17 + R64 = ten2k64[q4 - x0]; + } + // res.w[1] = 0; (from above) + res.w[0] = R64; + } else { // if (q4 <= 34) + // 19 <= q4 <= 38 + P128.w[1] = res.w[1]; + P128.w[0] = res.w[0]; + round128_19_38 (q4, x0, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + if (incr_exp) { + // increase coefficient by a factor of 10; this will be <= 10^33 + // R128 = 10^(q4-x0), 1 <= q4 - x0 <= q4 - 1, 1 <= q4 - x0 <= 37 + if (q4 - x0 <= 19) { // 1 <= q4 - x0 <= 19 + // res.w[1] = 0; + res.w[0] = ten2k64[q4 - x0]; + } else { // 20 <= q4 - x0 <= 37 + res.w[0] = ten2k128[q4 - x0 - 20].w[0]; + res.w[1] = ten2k128[q4 - x0 - 20].w[1]; + } + } + } + e4 = e4 + x0; // expmin + } else if (x0 == q4) { + // the second rounding is for 0.d(0)d(1)...d(q4-1) * 10^emin + // determine relationship with 1/2 ulp + if (q4 <= 19) { + if (res.w[0] < midpoint64[q4 - 1]) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (res.w[0] == midpoint64[q4 - 1]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + // gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + } else { // if (q4 <= 34) + if (res.w[1] < midpoint128[q4 - 20].w[1] || + (res.w[1] == midpoint128[q4 - 20].w[1] && + res.w[0] < midpoint128[q4 - 20].w[0])) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (res.w[1] == midpoint128[q4 - 20].w[1] && + res.w[0] == midpoint128[q4 - 20].w[0]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + // gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + } + if (lt_half_ulp || eq_half_ulp) { + // res = +0.0 * 10^expmin + res.w[1] = 0x0000000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // if (gt_half_ulp) + // res = +1 * 10^expmin + res.w[1] = 0x0000000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + e4 = expmin; + } else { // if (x0 > q4) + // the second rounding is for 0.0...d(0)d(1)...d(q4-1) * 10^emin + res.w[1] = 0; + res.w[0] = 0; + e4 = expmin; + is_inexact_lt_midpoint = 1; + } + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // Note: a double rounding error upward is not possible; for this + // the result after the first rounding would have to be 99...95 + // (35 digits in all), possibly followed by a number of zeros; this + // not possible for f * f + 0 + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + } else { // if e4 >= emin then q4 < P and the result is tiny and exact + if (e3 < e4) { + // if (e3 < e4) the preferred exponent is e3 + // return (C4 * 10^scale) * 10^(e4 - scale) + // where scale = min (p34-q4, (e4 - e3)) + scale = p34 - q4; + ind = e4 - e3; + if (ind < scale) + scale = ind; + if (scale == 0) { + ; // res and e4 are unchanged + } else if (q4 <= 19) { // C4 fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 res.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, res.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 res.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, res.w[0], ten2k128[scale - 20]); + } + } else { // res fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], res); + } + // subtract scale from the exponent + e4 = e4 - scale; + } + } + + // check for inexact result + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) { + // set the inexact flag and the underflow flag + *pfpsf |= INEXACT_EXCEPTION; + *pfpsf |= UNDERFLOW_EXCEPTION; + } + res.w[1] = p_sign | ((UINT64) (e4 + 6176) << 49) | res.w[1]; + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e4, &res, pfpsf); + } + *pfpsf |= save_fpsf; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // no overflow, and no underflow for rounding to nearest + res.w[1] = p_sign | ((UINT64) (e4 + 6176) << 49) | res.w[1]; + + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e4, &res, pfpsf); + // if e4 = expmin && significand < 10^33 => result is tiny (for RD, RZ) + if (e4 == expmin) { + if ((res.w[1] & MASK_COEFF) < 0x0000314dc6448d93ull || + ((res.w[1] & MASK_COEFF) == 0x0000314dc6448d93ull && + res.w[0] < 0x38c15b0a00000000ull)) { + is_tiny = 1; + } + } + } + + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + if (is_tiny) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + + if ((*pfpsf & INEXACT_EXCEPTION) == 0) { // x * y is exact + // need to ensure that the result has the preferred exponent + p_exp = res.w[1] & MASK_EXP; + if (z_exp < p_exp) { // the preferred exponent is z_exp + // signficand of res in C3 + C3.w[1] = res.w[1] & MASK_COEFF; + C3.w[0] = res.w[0]; + // the number of decimal digits of x * y is q4 <= 34 + // Note: the coefficient fits in 128 bits + + // return (C3 * 10^scale) * 10^(p_exp - scale) + // where scale = min (p34-q4, (p_exp-z_exp) >> 49) + scale = p34 - q4; + ind = (p_exp - z_exp) >> 49; + if (ind < scale) + scale = ind; + // subtract scale from the exponent + p_exp = p_exp - ((UINT64) scale << 49); + if (scale == 0) { + ; // leave res unchanged + } else if (q4 <= 19) { // x * y fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C3.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C3.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C3.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C3.w[0], ten2k128[scale - 20]); + } + res.w[1] = p_sign | (p_exp & MASK_EXP) | res.w[1]; + } else { // x * y fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], C3); + res.w[1] = p_sign | (p_exp & MASK_EXP) | res.w[1]; + } + } // else leave the result as it is, because p_exp <= z_exp + } + *pfpsf |= save_fpsf; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } // else we have f * f + f + + // continue with x = f, y = f, z = f + + delta = q3 + e3 - q4 - e4; +delta_ge_zero: + if (delta >= 0) { + + if (p34 <= delta - 1 || // Case (1') + (p34 == delta && e3 + 6176 < p34 - q3)) { // Case (1''A) + // check for overflow, which can occur only in Case (1') + if ((q3 + e3) > (p34 + expmax) && p34 <= delta - 1) { + // e3 > expmax implies p34 <= delta-1 and e3 > expmax is a necessary + // condition for (q3 + e3) > (p34 + expmax) + if (rnd_mode == ROUNDING_TO_NEAREST) { + res.w[1] = z_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + } else { + if (p_sign == z_sign) { + is_inexact_lt_midpoint = 1; + } else { + is_inexact_gt_midpoint = 1; + } + // q3 <= p34; if (q3 < p34) scale C3 up by 10^(p34-q3) + scale = p34 - q3; + if (scale == 0) { + res.w[1] = z_sign | C3.w[1]; + res.w[0] = C3.w[0]; + } else { + if (q3 <= 19) { // C3 fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C3.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C3.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C3.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C3.w[0], + ten2k128[scale - 20]); + } + } else { // C3 fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], C3); + } + // the coefficient in res has q3 + scale = p34 digits + } + e3 = e3 - scale; + res.w[1] = z_sign | res.w[1]; + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e3, &res, pfpsf); + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // res = z + if (q3 < p34) { // the preferred exponent is z_exp - (p34 - q3) + // return (C3 * 10^scale) * 10^(z_exp - scale) + // where scale = min (p34-q3, z_exp-EMIN) + scale = p34 - q3; + ind = e3 + 6176; + if (ind < scale) + scale = ind; + if (scale == 0) { + res.w[1] = C3.w[1]; + res.w[0] = C3.w[0]; + } else if (q3 <= 19) { // z fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C3.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C3.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C3.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C3.w[0], ten2k128[scale - 20]); + } + } else { // z fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], C3); + } + // the coefficient in res has q3 + scale digits + // subtract scale from the exponent + z_exp = z_exp - ((UINT64) scale << 49); + e3 = e3 - scale; + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + if (scale + q3 < p34) + *pfpsf |= UNDERFLOW_EXCEPTION; + } else { + scale = 0; + res.w[1] = z_sign | ((UINT64) (e3 + 6176) << 49) | C3.w[1]; + res.w[0] = C3.w[0]; + } + + // use the following to avoid double rounding errors when operating on + // mixed formats in rounding to nearest, and for correcting the result + // if not rounding to nearest + if ((p_sign != z_sign) && (delta == (q3 + scale + 1))) { + // there is a gap of exactly one digit between the scaled C3 and C4 + // C3 * 10^ scale = 10^(q3+scale-1) <=> C3 = 10^(q3-1) is special case + if ((q3 <= 19 && C3.w[0] != ten2k64[q3 - 1]) || + (q3 == 20 && (C3.w[1] != 0 || C3.w[0] != ten2k64[19])) || + (q3 >= 21 && (C3.w[1] != ten2k128[q3 - 21].w[1] || + C3.w[0] != ten2k128[q3 - 21].w[0]))) { + // C3 * 10^ scale != 10^(q3-1) + // if ((res.w[1] & MASK_COEFF) != 0x0000314dc6448d93ull || + // res.w[0] != 0x38c15b0a00000000ull) { // C3 * 10^scale != 10^33 + is_inexact_gt_midpoint = 1; // if (z_sign), set as if for abs. value + } else { // if C3 * 10^scale = 10^(q3+scale-1) + // ok from above e3 = (z_exp >> 49) - 6176; + // the result is always inexact + if (q4 == 1) { + R64 = C4.w[0]; + } else { + // if q4 > 1 then truncate C4 from q4 digits to 1 digit; + // x = q4-1, 1 <= x <= 67 and check if this operation is exact + if (q4 <= 18) { // 2 <= q4 <= 18 + round64_2_18 (q4, q4 - 1, C4.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } else if (q4 <= 38) { + P128.w[1] = C4.w[1]; + P128.w[0] = C4.w[0]; + round128_19_38 (q4, q4 - 1, P128, &R128, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R64 = R128.w[0]; // one decimal digit + } else if (q4 <= 57) { + P192.w[2] = C4.w[2]; + P192.w[1] = C4.w[1]; + P192.w[0] = C4.w[0]; + round192_39_57 (q4, q4 - 1, P192, &R192, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R64 = R192.w[0]; // one decimal digit + } else { // if (q4 <= 68) + round256_58_76 (q4, q4 - 1, C4, &R256, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R64 = R256.w[0]; // one decimal digit + } + if (incr_exp) { + R64 = 10; + } + } + if (q4 == 1 && C4.w[0] == 5) { + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 1; + is_midpoint_gt_even = 0; + } else if ((e3 == expmin) || + R64 < 5 || (R64 == 5 && is_inexact_gt_midpoint)) { + // result does not change + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + // result decremented is 10^(q3+scale) - 1 + if ((q3 + scale) <= 19) { + res.w[1] = 0; + res.w[0] = ten2k64[q3 + scale]; + } else { // if ((q3 + scale + 1) <= 35) + res.w[1] = ten2k128[q3 + scale - 20].w[1]; + res.w[0] = ten2k128[q3 + scale - 20].w[0]; + } + res.w[0] = res.w[0] - 1; // borrow never occurs + z_exp = z_exp - EXP_P1; + e3 = e3 - 1; + res.w[1] = z_sign | ((UINT64) (e3 + 6176) << 49) | res.w[1]; + } + if (e3 == expmin) { + if (R64 < 5 || (R64 == 5 && !is_inexact_lt_midpoint)) { + ; // result not tiny (in round-to-nearest mode) + } else { + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } + } // end 10^(q3+scale-1) + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { + if (p_sign == z_sign) { + // if (z_sign), set as if for absolute value + is_inexact_lt_midpoint = 1; + } else { // if (p_sign != z_sign) + // if (z_sign), set as if for absolute value + is_inexact_gt_midpoint = 1; + } + *pfpsf |= INEXACT_EXCEPTION; + } + // the result is always inexact => set the inexact flag + // Determine tininess: + // if (exp > expmin) + // the result is not tiny + // else // if exp = emin + // if (q3 + scale < p34) + // the result is tiny + // else // if (q3 + scale = p34) + // if (C3 * 10^scale > 10^33) + // the result is not tiny + // else // if C3 * 10^scale = 10^33 + // if (xy * z > 0) + // the result is not tiny + // else // if (xy * z < 0) + // if (z > 0) + // if rnd_mode != RP + // the result is tiny + // else // if RP + // the result is not tiny + // else // if (z < 0) + // if rnd_mode != RM + // the result is tiny + // else // if RM + // the result is not tiny + // endif + // endif + // endif + // endif + // endif + // endif + if ((e3 == expmin && (q3 + scale) < p34) || + (e3 == expmin && (q3 + scale) == p34 && + (res.w[1] & MASK_COEFF) == 0x0000314dc6448d93ull && // 10^33_high + res.w[0] == 0x38c15b0a00000000ull && // 10^33_low + z_sign != p_sign && ((!z_sign && rnd_mode != ROUNDING_UP) || + (z_sign && rnd_mode != ROUNDING_DOWN)))) { + *pfpsf |= UNDERFLOW_EXCEPTION; + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e3, &res, pfpsf); + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } else if (p34 == delta) { // Case (1''B) + + // because Case (1''A) was treated above, e3 + 6176 >= p34 - q3 + // and C3 can be scaled up to p34 digits if needed + + // scale C3 to p34 digits if needed + scale = p34 - q3; // 0 <= scale <= p34 - 1 + if (scale == 0) { + res.w[1] = C3.w[1]; + res.w[0] = C3.w[0]; + } else if (q3 <= 19) { // z fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C3.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C3.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C3.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C3.w[0], ten2k128[scale - 20]); + } + } else { // z fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], C3); + } + // subtract scale from the exponent + z_exp = z_exp - ((UINT64) scale << 49); + e3 = e3 - scale; + // now z_sign, z_exp, and res correspond to a z scaled to p34 = 34 digits + + // determine whether x * y is less than, equal to, or greater than + // 1/2 ulp (z) + if (q4 <= 19) { + if (C4.w[0] < midpoint64[q4 - 1]) { // < 1/2 ulp + lt_half_ulp = 1; + } else if (C4.w[0] == midpoint64[q4 - 1]) { // = 1/2 ulp + eq_half_ulp = 1; + } else { // > 1/2 ulp + gt_half_ulp = 1; + } + } else if (q4 <= 38) { + if (C4.w[2] == 0 && (C4.w[1] < midpoint128[q4 - 20].w[1] || + (C4.w[1] == midpoint128[q4 - 20].w[1] && + C4.w[0] < midpoint128[q4 - 20].w[0]))) { // < 1/2 ulp + lt_half_ulp = 1; + } else if (C4.w[2] == 0 && C4.w[1] == midpoint128[q4 - 20].w[1] && + C4.w[0] == midpoint128[q4 - 20].w[0]) { // = 1/2 ulp + eq_half_ulp = 1; + } else { // > 1/2 ulp + gt_half_ulp = 1; + } + } else if (q4 <= 58) { + if (C4.w[3] == 0 && (C4.w[2] < midpoint192[q4 - 39].w[2] || + (C4.w[2] == midpoint192[q4 - 39].w[2] && + C4.w[1] < midpoint192[q4 - 39].w[1]) || + (C4.w[2] == midpoint192[q4 - 39].w[2] && + C4.w[1] == midpoint192[q4 - 39].w[1] && + C4.w[0] < midpoint192[q4 - 39].w[0]))) { // < 1/2 ulp + lt_half_ulp = 1; + } else if (C4.w[3] == 0 && C4.w[2] == midpoint192[q4 - 39].w[2] && + C4.w[1] == midpoint192[q4 - 39].w[1] && + C4.w[0] == midpoint192[q4 - 39].w[0]) { // = 1/2 ulp + eq_half_ulp = 1; + } else { // > 1/2 ulp + gt_half_ulp = 1; + } + } else { + if (C4.w[3] < midpoint256[q4 - 59].w[3] || + (C4.w[3] == midpoint256[q4 - 59].w[3] && + C4.w[2] < midpoint256[q4 - 59].w[2]) || + (C4.w[3] == midpoint256[q4 - 59].w[3] && + C4.w[2] == midpoint256[q4 - 59].w[2] && + C4.w[1] < midpoint256[q4 - 59].w[1]) || + (C4.w[3] == midpoint256[q4 - 59].w[3] && + C4.w[2] == midpoint256[q4 - 59].w[2] && + C4.w[1] == midpoint256[q4 - 59].w[1] && + C4.w[0] < midpoint256[q4 - 59].w[0])) { // < 1/2 ulp + lt_half_ulp = 1; + } else if (C4.w[3] == midpoint256[q4 - 59].w[3] && + C4.w[2] == midpoint256[q4 - 59].w[2] && + C4.w[1] == midpoint256[q4 - 59].w[1] && + C4.w[0] == midpoint256[q4 - 59].w[0]) { // = 1/2 ulp + eq_half_ulp = 1; + } else { // > 1/2 ulp + gt_half_ulp = 1; + } + } + + if (p_sign == z_sign) { + if (lt_half_ulp) { + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + // use the following to avoid double rounding errors when operating on + // mixed formats in rounding to nearest + is_inexact_lt_midpoint = 1; // if (z_sign), as if for absolute value + } else if ((eq_half_ulp && (res.w[0] & 0x01)) || gt_half_ulp) { + // add 1 ulp to the significand + res.w[0]++; + if (res.w[0] == 0x0ull) + res.w[1]++; + // check for rounding overflow, when coeff == 10^34 + if ((res.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull && + res.w[0] == 0x378d8e6400000000ull) { // coefficient = 10^34 + e3 = e3 + 1; + // coeff = 10^33 + z_exp = ((UINT64) (e3 + 6176) << 49) & MASK_EXP; + res.w[1] = 0x0000314dc6448d93ull; + res.w[0] = 0x38c15b0a00000000ull; + } + // end add 1 ulp + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + if (eq_half_ulp) { + is_midpoint_lt_even = 1; // if (z_sign), as if for absolute value + } else { + is_inexact_gt_midpoint = 1; // if (z_sign), as if for absolute value + } + } else { // if (eq_half_ulp && !(res.w[0] & 0x01)) + // leave unchanged + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + is_midpoint_gt_even = 1; // if (z_sign), as if for absolute value + } + // the result is always inexact, and never tiny + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // check for overflow + if (e3 > expmax && rnd_mode == ROUNDING_TO_NEAREST) { + res.w[1] = z_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e3, &res, pfpsf); + z_exp = res.w[1] & MASK_EXP; + } + } else { // if (p_sign != z_sign) + // consider two cases, because C3 * 10^scale = 10^33 is a special case + if (res.w[1] != 0x0000314dc6448d93ull || + res.w[0] != 0x38c15b0a00000000ull) { // C3 * 10^scale != 10^33 + if (lt_half_ulp) { + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + // use the following to avoid double rounding errors when operating + // on mixed formats in rounding to nearest + is_inexact_gt_midpoint = 1; // if (z_sign), as if for absolute value + } else if ((eq_half_ulp && (res.w[0] & 0x01)) || gt_half_ulp) { + // subtract 1 ulp from the significand + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + if (eq_half_ulp) { + is_midpoint_gt_even = 1; // if (z_sign), as if for absolute value + } else { + is_inexact_lt_midpoint = 1; //if(z_sign), as if for absolute value + } + } else { // if (eq_half_ulp && !(res.w[0] & 0x01)) + // leave unchanged + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + is_midpoint_lt_even = 1; // if (z_sign), as if for absolute value + } + // the result is always inexact, and never tiny + // check for overflow for RN + if (e3 > expmax) { + if (rnd_mode == ROUNDING_TO_NEAREST) { + res.w[1] = z_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + } else { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, + is_midpoint_gt_even, e3, &res, + pfpsf); + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, + is_midpoint_gt_even, e3, &res, pfpsf); + } + z_exp = res.w[1] & MASK_EXP; + } else { // if C3 * 10^scale = 10^33 + e3 = (z_exp >> 49) - 6176; + if (e3 > expmin) { + // the result is exact if exp > expmin and C4 = d*10^(q4-1), + // where d = 1, 2, 3, ..., 9; it could be tiny too, but exact + if (q4 == 1) { + // if q4 = 1 the result is exact + // result coefficient = 10^34 - C4 + res.w[1] = 0x0001ed09bead87c0ull; + res.w[0] = 0x378d8e6400000000ull - C4.w[0]; + z_exp = z_exp - EXP_P1; + e3 = e3 - 1; + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + } else { + // if q4 > 1 then truncate C4 from q4 digits to 1 digit; + // x = q4-1, 1 <= x <= 67 and check if this operation is exact + if (q4 <= 18) { // 2 <= q4 <= 18 + round64_2_18 (q4, q4 - 1, C4.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } else if (q4 <= 38) { + P128.w[1] = C4.w[1]; + P128.w[0] = C4.w[0]; + round128_19_38 (q4, q4 - 1, P128, &R128, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R64 = R128.w[0]; // one decimal digit + } else if (q4 <= 57) { + P192.w[2] = C4.w[2]; + P192.w[1] = C4.w[1]; + P192.w[0] = C4.w[0]; + round192_39_57 (q4, q4 - 1, P192, &R192, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R64 = R192.w[0]; // one decimal digit + } else { // if (q4 <= 68) + round256_58_76 (q4, q4 - 1, C4, &R256, &incr_exp, + &is_midpoint_lt_even, + &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R64 = R256.w[0]; // one decimal digit + } + if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // the result is exact: 10^34 - R64 + // incr_exp = 0 with certainty + z_exp = z_exp - EXP_P1; + e3 = e3 - 1; + res.w[1] = + z_sign | (z_exp & MASK_EXP) | 0x0001ed09bead87c0ull; + res.w[0] = 0x378d8e6400000000ull - R64; + } else { + // We want R64 to be the top digit of C4, but we actually + // obtained (C4 * 10^(-q4+1))RN; a correction may be needed, + // because the top digit is (C4 * 10^(-q4+1))RZ + // however, if incr_exp = 1 then R64 = 10 with certainty + if (incr_exp) { + R64 = 10; + } + // the result is inexact as C4 has more than 1 significant digit + // and C3 * 10^scale = 10^33 + // example of case that is treated here: + // 100...0 * 10^e3 - 0.41 * 10^e3 = + // 0999...9.59 * 10^e3 -> rounds to 99...96*10^(e3-1) + // note that (e3 > expmin} + // in order to round, subtract R64 from 10^34 and then compare + // C4 - R64 * 10^(q4-1) with 1/2 ulp + // calculate 10^34 - R64 + res.w[1] = 0x0001ed09bead87c0ull; + res.w[0] = 0x378d8e6400000000ull - R64; + z_exp = z_exp - EXP_P1; // will be OR-ed with sign & significand + // calculate C4 - R64 * 10^(q4-1); this is a rare case and + // R64 is small, 1 <= R64 <= 9 + e3 = e3 - 1; + if (is_inexact_lt_midpoint) { + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + } else if (is_inexact_gt_midpoint) { + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 1; + } else if (is_midpoint_lt_even) { + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 1; + } else if (is_midpoint_gt_even) { + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 1; + } else { + ; + } + // the result is always inexact, and never tiny + // check for overflow for RN + if (e3 > expmax) { + if (rnd_mode == ROUNDING_TO_NEAREST) { + res.w[1] = z_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + } else { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, + is_midpoint_gt_even, e3, &res, + pfpsf); + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + res.w[1] = + z_sign | ((UINT64) (e3 + 6176) << 49) | res.w[1]; + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, + is_midpoint_gt_even, e3, &res, + pfpsf); + } + z_exp = res.w[1] & MASK_EXP; + } // end result is inexact + } // end q4 > 1 + } else { // if (e3 = emin) + // if e3 = expmin the result is also tiny (the condition for + // tininess is C4 > 050...0 [q4 digits] which is met because + // the msd of C4 is not zero) + // the result is tiny and inexact in all rounding modes; + // it is either 100...0 or 0999...9 (use lt_half_ulp, eq_half_ulp, + // gt_half_ulp to calculate) + // if (lt_half_ulp || eq_half_ulp) res = 10^33 stays unchanged + + // p_sign != z_sign so swap gt_half_ulp and lt_half_ulp + if (gt_half_ulp) { // res = 10^33 - 1 + res.w[1] = 0x0000314dc6448d93ull; + res.w[0] = 0x38c15b09ffffffffull; + } else { + res.w[1] = 0x0000314dc6448d93ull; + res.w[0] = 0x38c15b0a00000000ull; + } + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + *pfpsf |= UNDERFLOW_EXCEPTION; // inexact is set later + + if (eq_half_ulp) { + is_midpoint_lt_even = 1; // if (z_sign), as if for absolute value + } else if (lt_half_ulp) { + is_inexact_gt_midpoint = 1; //if(z_sign), as if for absolute value + } else { // if (gt_half_ulp) + is_inexact_lt_midpoint = 1; //if(z_sign), as if for absolute value + } + + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, + is_midpoint_gt_even, e3, &res, + pfpsf); + z_exp = res.w[1] & MASK_EXP; + } + } // end e3 = emin + // set the inexact flag (if the result was not exact) + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) + *pfpsf |= INEXACT_EXCEPTION; + } // end 10^33 + } // end if (p_sign != z_sign) + res.w[1] = z_sign | (z_exp & MASK_EXP) | res.w[1]; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } else if (((q3 <= delta && delta < p34 && p34 < delta + q4) || // Case (2) + (q3 <= delta && delta + q4 <= p34) || // Case (3) + (delta < q3 && p34 < delta + q4) || // Case (4) + (delta < q3 && q3 <= delta + q4 && delta + q4 <= p34) || // Case (5) + (delta + q4 < q3)) && // Case (6) + !(delta <= 1 && p_sign != z_sign)) { // Case (2), (3), (4), (5) or (6) + + // the result has the sign of z + + if ((q3 <= delta && delta < p34 && p34 < delta + q4) || // Case (2) + (delta < q3 && p34 < delta + q4)) { // Case (4) + // round first the sum x * y + z with unbounded exponent + // scale C3 up by scale = p34 - q3, 1 <= scale <= p34-1, + // 1 <= scale <= 33 + // calculate res = C3 * 10^scale + scale = p34 - q3; + x0 = delta + q4 - p34; + } else if (delta + q4 < q3) { // Case (6) + // make Case (6) look like Case (3) or Case (5) with scale = 0 + // by scaling up C4 by 10^(q3 - delta - q4) + scale = q3 - delta - q4; // 1 <= scale <= 33 + if (q4 <= 19) { // 1 <= scale <= 19; C4 fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C4.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (P128, C4.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C4.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (P128, C4.w[0], ten2k128[scale - 20]); + } + } else { // C4 fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C4 + __mul_128x64_to_128 (P128, ten2k64[scale], C4); + } + C4.w[0] = P128.w[0]; + C4.w[1] = P128.w[1]; + // e4 does not need adjustment, as it is not used from this point on + scale = 0; + x0 = 0; + // now Case (6) looks like Case (3) or Case (5) with scale = 0 + } else { // if Case (3) or Case (5) + // Note: Case (3) is similar to Case (2), but scale differs and the + // result is exact, unless it is tiny (so x0 = 0 when calculating the + // result with unbounded exponent) + + // calculate first the sum x * y + z with unbounded exponent (exact) + // scale C3 up by scale = delta + q4 - q3, 1 <= scale <= p34-1, + // 1 <= scale <= 33 + // calculate res = C3 * 10^scale + scale = delta + q4 - q3; + x0 = 0; + // Note: the comments which follow refer [mainly] to Case (2)] + } + + case2_repeat: + if (scale == 0) { // this could happen e.g. if we return to case2_repeat + // or in Case (4) + res.w[1] = C3.w[1]; + res.w[0] = C3.w[0]; + } else if (q3 <= 19) { // 1 <= scale <= 19; z fits in 64 bits + if (scale <= 19) { // 10^scale fits in 64 bits + // 64 x 64 C3.w[0] * ten2k64[scale] + __mul_64x64_to_128MACH (res, C3.w[0], ten2k64[scale]); + } else { // 10^scale fits in 128 bits + // 64 x 128 C3.w[0] * ten2k128[scale - 20] + __mul_128x64_to_128 (res, C3.w[0], ten2k128[scale - 20]); + } + } else { // z fits in 128 bits, but 10^scale must fit in 64 bits + // 64 x 128 ten2k64[scale] * C3 + __mul_128x64_to_128 (res, ten2k64[scale], C3); + } + // e3 is already calculated + e3 = e3 - scale; + // now res = C3 * 10^scale and e3 = e3 - scale + // Note: C3 * 10^scale could be 10^34 if we returned to case2_repeat + // because the result was too small + + // round C4 to nearest to q4 - x0 digits, where x0 = delta + q4 - p34, + // 1 <= x0 <= min (q4 - 1, 2 * p34 - 1) <=> 1 <= x0 <= min (q4 - 1, 67) + // Also: 1 <= q4 - x0 <= p34 -1 => 1 <= q4 - x0 <= 33 (so the result of + // the rounding fits in 128 bits!) + // x0 = delta + q4 - p34 (calculated before reaching case2_repeat) + // because q3 + q4 - x0 <= P => x0 >= q3 + q4 - p34 + if (x0 == 0) { // this could happen only if we return to case2_repeat, or + // for Case (3) or Case (6) + R128.w[1] = C4.w[1]; + R128.w[0] = C4.w[0]; + } else if (q4 <= 18) { + // 2 <= q4 <= 18, max(1, q3+q4-p34) <= x0 <= q4 - 1, 1 <= x0 <= 17 + round64_2_18 (q4, x0, C4.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + if (incr_exp) { + // R64 = 10^(q4-x0), 1 <= q4 - x0 <= q4 - 1, 1 <= q4 - x0 <= 17 + R64 = ten2k64[q4 - x0]; + } + R128.w[1] = 0; + R128.w[0] = R64; + } else if (q4 <= 38) { + // 19 <= q4 <= 38, max(1, q3+q4-p34) <= x0 <= q4 - 1, 1 <= x0 <= 37 + P128.w[1] = C4.w[1]; + P128.w[0] = C4.w[0]; + round128_19_38 (q4, x0, P128, &R128, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + if (incr_exp) { + // R128 = 10^(q4-x0), 1 <= q4 - x0 <= q4 - 1, 1 <= q4 - x0 <= 37 + if (q4 - x0 <= 19) { // 1 <= q4 - x0 <= 19 + R128.w[0] = ten2k64[q4 - x0]; + // R128.w[1] stays 0 + } else { // 20 <= q4 - x0 <= 37 + R128.w[0] = ten2k128[q4 - x0 - 20].w[0]; + R128.w[1] = ten2k128[q4 - x0 - 20].w[1]; + } + } + } else if (q4 <= 57) { + // 38 <= q4 <= 57, max(1, q3+q4-p34) <= x0 <= q4 - 1, 5 <= x0 <= 56 + P192.w[2] = C4.w[2]; + P192.w[1] = C4.w[1]; + P192.w[0] = C4.w[0]; + round192_39_57 (q4, x0, P192, &R192, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + // R192.w[2] is always 0 + if (incr_exp) { + // R192 = 10^(q4-x0), 1 <= q4 - x0 <= q4 - 5, 1 <= q4 - x0 <= 52 + if (q4 - x0 <= 19) { // 1 <= q4 - x0 <= 19 + R192.w[0] = ten2k64[q4 - x0]; + // R192.w[1] stays 0 + // R192.w[2] stays 0 + } else { // 20 <= q4 - x0 <= 33 + R192.w[0] = ten2k128[q4 - x0 - 20].w[0]; + R192.w[1] = ten2k128[q4 - x0 - 20].w[1]; + // R192.w[2] stays 0 + } + } + R128.w[1] = R192.w[1]; + R128.w[0] = R192.w[0]; + } else { + // 58 <= q4 <= 68, max(1, q3+q4-p34) <= x0 <= q4 - 1, 25 <= x0 <= 67 + round256_58_76 (q4, x0, C4, &R256, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + // R256.w[3] and R256.w[2] are always 0 + if (incr_exp) { + // R256 = 10^(q4-x0), 1 <= q4 - x0 <= q4 - 25, 1 <= q4 - x0 <= 43 + if (q4 - x0 <= 19) { // 1 <= q4 - x0 <= 19 + R256.w[0] = ten2k64[q4 - x0]; + // R256.w[1] stays 0 + // R256.w[2] stays 0 + // R256.w[3] stays 0 + } else { // 20 <= q4 - x0 <= 33 + R256.w[0] = ten2k128[q4 - x0 - 20].w[0]; + R256.w[1] = ten2k128[q4 - x0 - 20].w[1]; + // R256.w[2] stays 0 + // R256.w[3] stays 0 + } + } + R128.w[1] = R256.w[1]; + R128.w[0] = R256.w[0]; + } + // now add C3 * 10^scale in res and the signed top (q4-x0) digits of C4, + // rounded to nearest, which were copied into R128 + if (z_sign == p_sign) { + lsb = res.w[0] & 0x01; // lsb of C3 * 10^scale + // the sum can result in [up to] p34 or p34 + 1 digits + res.w[0] = res.w[0] + R128.w[0]; + res.w[1] = res.w[1] + R128.w[1]; + if (res.w[0] < R128.w[0]) + res.w[1]++; // carry + // if res > 10^34 - 1 need to increase x0 and decrease scale by 1 + if (res.w[1] > 0x0001ed09bead87c0ull || + (res.w[1] == 0x0001ed09bead87c0ull && + res.w[0] > 0x378d8e63ffffffffull)) { + // avoid double rounding error + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + P128.w[1] = res.w[1]; + P128.w[0] = res.w[0]; + round128_19_38 (35, 1, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + // incr_exp is 0 with certainty in this case + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // Note: a double rounding error upward is not possible; for this + // the result after the first rounding would have to be 99...95 + // (35 digits in all), possibly followed by a number of zeros; this + // not possible in Cases (2)-(6) or (15)-(17) which may get here + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint + && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 + || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 + || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + // adjust exponent + e3 = e3 + 1; + if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + if (is_midpoint_lt_even0 || is_midpoint_gt_even0 || + is_inexact_lt_midpoint0 || is_inexact_gt_midpoint0) { + is_inexact_lt_midpoint = 1; + } + } + } else { + // this is the result rounded with unbounded exponent, unless a + // correction is needed + res.w[1] = res.w[1] & MASK_COEFF; + if (lsb == 1) { + if (is_midpoint_gt_even) { + // res = res + 1 + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 1; + res.w[0]++; + if (res.w[0] == 0x0) + res.w[1]++; + // check for rounding overflow + if (res.w[1] == 0x0001ed09bead87c0ull && + res.w[0] == 0x378d8e6400000000ull) { + // res = 10^34 => rounding overflow + res.w[1] = 0x0000314dc6448d93ull; + res.w[0] = 0x38c15b0a00000000ull; // 10^33 + e3++; + } + } else if (is_midpoint_lt_even) { + // res = res - 1 + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 1; + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // if the result is pure zero, the sign depends on the rounding + // mode (x*y and z had opposite signs) + if (res.w[1] == 0x0ull && res.w[0] == 0x0ull) { + if (rnd_mode != ROUNDING_DOWN) + z_sign = 0x0000000000000000ull; + else + z_sign = 0x8000000000000000ull; + // the exponent is max (e3, expmin) + res.w[1] = 0x0; + res.w[0] = 0x0; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + } else { + ; + } + } + } + } else { // if (z_sign != p_sign) + lsb = res.w[0] & 0x01; // lsb of C3 * 10^scale; R128 contains rounded C4 + // used to swap rounding indicators if p_sign != z_sign + // the sum can result in [up to] p34 or p34 - 1 digits + tmp64 = res.w[0]; + res.w[0] = res.w[0] - R128.w[0]; + res.w[1] = res.w[1] - R128.w[1]; + if (res.w[0] > tmp64) + res.w[1]--; // borrow + // if res < 10^33 and exp > expmin need to decrease x0 and + // increase scale by 1 + if (e3 > expmin && ((res.w[1] < 0x0000314dc6448d93ull || + (res.w[1] == 0x0000314dc6448d93ull && + res.w[0] < 0x38c15b0a00000000ull)) || + (is_inexact_lt_midpoint + && res.w[1] == 0x0000314dc6448d93ull + && res.w[0] == 0x38c15b0a00000000ull)) + && x0 >= 1) { + x0 = x0 - 1; + // first restore e3, otherwise it will be too small + e3 = e3 + scale; + scale = scale + 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + incr_exp = 0; + goto case2_repeat; + } + // else this is the result rounded with unbounded exponent; + // because the result has opposite sign to that of C4 which was + // rounded, need to change the rounding indicators + if (is_inexact_lt_midpoint) { + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + } else if (is_inexact_gt_midpoint) { + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 1; + } else if (lsb == 0) { + if (is_midpoint_lt_even) { + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 1; + } else if (is_midpoint_gt_even) { + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 1; + } else { + ; + } + } else if (lsb == 1) { + if (is_midpoint_lt_even) { + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0x0) + res.w[1]++; + // check for rounding overflow + if (res.w[1] == 0x0001ed09bead87c0ull && + res.w[0] == 0x378d8e6400000000ull) { + // res = 10^34 => rounding overflow + res.w[1] = 0x0000314dc6448d93ull; + res.w[0] = 0x38c15b0a00000000ull; // 10^33 + e3++; + } + } else if (is_midpoint_gt_even) { + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // if the result is pure zero, the sign depends on the rounding + // mode (x*y and z had opposite signs) + if (res.w[1] == 0x0ull && res.w[0] == 0x0ull) { + if (rnd_mode != ROUNDING_DOWN) + z_sign = 0x0000000000000000ull; + else + z_sign = 0x8000000000000000ull; + // the exponent is max (e3, expmin) + res.w[1] = 0x0; + res.w[0] = 0x0; + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } + } else { + ; + } + } else { + ; + } + } + // check for underflow + if (e3 == expmin) { // and if significand < 10^33 => result is tiny + if ((res.w[1] & MASK_COEFF) < 0x0000314dc6448d93ull || + ((res.w[1] & MASK_COEFF) == 0x0000314dc6448d93ull && + res.w[0] < 0x38c15b0a00000000ull)) { + is_tiny = 1; + } + } else if (e3 < expmin) { + // the result is tiny, so we must truncate more of res + is_tiny = 1; + x0 = expmin - e3; + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + // determine the number of decimal digits in res + if (res.w[1] == 0x0) { + // between 1 and 19 digits + for (ind = 1; ind <= 19; ind++) { + if (res.w[0] < ten2k64[ind]) { + break; + } + } + // ind digits + } else if (res.w[1] < ten2k128[0].w[1] || + (res.w[1] == ten2k128[0].w[1] + && res.w[0] < ten2k128[0].w[0])) { + // 20 digits + ind = 20; + } else { // between 21 and 38 digits + for (ind = 1; ind <= 18; ind++) { + if (res.w[1] < ten2k128[ind].w[1] || + (res.w[1] == ten2k128[ind].w[1] && + res.w[0] < ten2k128[ind].w[0])) { + break; + } + } + // ind + 20 digits + ind = ind + 20; + } + + // at this point ind >= x0; because delta >= 2 on this path, the case + // ind = x0 can occur only in Case (2) or case (3), when C3 has one + // digit (q3 = 1) equal to 1 (C3 = 1), e3 is expmin (e3 = expmin), + // the signs of x * y and z are opposite, and through cancellation + // the most significant decimal digit in res has the weight + // 10^(emin-1); however, it is clear that in this case the most + // significant digit is 9, so the result before rounding is + // 0.9... * 10^emin + // Otherwise, ind > x0 because there are non-zero decimal digits in the + // result with weight of at least 10^emin, and correction for underflow + // can be carried out using the round*_*_2_* () routines + if (x0 == ind) { // the result before rounding is 0.9... * 10^emin + res.w[1] = 0x0; + res.w[0] = 0x1; + is_inexact_gt_midpoint = 1; + } else if (ind <= 18) { // check that 2 <= ind + // 2 <= ind <= 18, 1 <= x0 <= 17 + round64_2_18 (ind, x0, res.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + if (incr_exp) { + // R64 = 10^(ind-x0), 1 <= ind - x0 <= ind - 1, 1 <= ind - x0 <= 17 + R64 = ten2k64[ind - x0]; + } + res.w[1] = 0; + res.w[0] = R64; + } else if (ind <= 38) { + // 19 <= ind <= 38 + P128.w[1] = res.w[1]; + P128.w[0] = res.w[0]; + round128_19_38 (ind, x0, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + if (incr_exp) { + // R128 = 10^(ind-x0), 1 <= ind - x0 <= ind - 1, 1 <= ind - x0 <= 37 + if (ind - x0 <= 19) { // 1 <= ind - x0 <= 19 + res.w[0] = ten2k64[ind - x0]; + // res.w[1] stays 0 + } else { // 20 <= ind - x0 <= 37 + res.w[0] = ten2k128[ind - x0 - 20].w[0]; + res.w[1] = ten2k128[ind - x0 - 20].w[1]; + } + } + } + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // Note: a double rounding error upward is not possible; for this + // the result after the first rounding would have to be 99...95 + // (35 digits in all), possibly followed by a number of zeros; this + // not possible in Cases (2)-(6) which may get here + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + // adjust exponent + e3 = e3 + x0; + if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + if (is_midpoint_lt_even0 || is_midpoint_gt_even0 || + is_inexact_lt_midpoint0 || is_inexact_gt_midpoint0) { + is_inexact_lt_midpoint = 1; + } + } + } else { + ; // not underflow + } + // check for inexact result + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + if (is_tiny) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + // now check for significand = 10^34 (may have resulted from going + // back to case2_repeat) + if (res.w[1] == 0x0001ed09bead87c0ull && + res.w[0] == 0x378d8e6400000000ull) { // if res = 10^34 + res.w[1] = 0x0000314dc6448d93ull; // res = 10^33 + res.w[0] = 0x38c15b0a00000000ull; + e3 = e3 + 1; + } + res.w[1] = z_sign | ((UINT64) (e3 + 6176) << 49) | res.w[1]; + // check for overflow + if (rnd_mode == ROUNDING_TO_NEAREST && e3 > expmax) { + res.w[1] = z_sign | 0x7800000000000000ull; // +/-inf + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e3, &res, pfpsf); + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } else { + + // we get here only if delta <= 1 in Cases (2), (3), (4), (5), or (6) and + // the signs of x*y and z are opposite; in these cases massive + // cancellation can occur, so it is better to scale either C3 or C4 and + // to perform the subtraction before rounding; rounding is performed + // next, depending on the number of decimal digits in the result and on + // the exponent value + // Note: overlow is not possible in this case + // this is similar to Cases (15), (16), and (17) + + if (delta + q4 < q3) { // from Case (6) + // Case (6) with 0<= delta <= 1 is similar to Cases (15), (16), and + // (17) if we swap (C3, C4), (q3, q4), (e3, e4), (z_sign, p_sign) + // and call add_and_round; delta stays positive + // C4.w[3] = 0 and C4.w[2] = 0, so swap just the low part of C4 with C3 + P128.w[1] = C3.w[1]; + P128.w[0] = C3.w[0]; + C3.w[1] = C4.w[1]; + C3.w[0] = C4.w[0]; + C4.w[1] = P128.w[1]; + C4.w[0] = P128.w[0]; + ind = q3; + q3 = q4; + q4 = ind; + ind = e3; + e3 = e4; + e4 = ind; + tmp_sign = z_sign; + z_sign = p_sign; + p_sign = tmp_sign; + } else { // from Cases (2), (3), (4), (5) + // In Cases (2), (3), (4), (5) with 0 <= delta <= 1 C3 has to be + // scaled up by q4 + delta - q3; this is the same as in Cases (15), + // (16), and (17) if we just change the sign of delta + delta = -delta; + } + add_and_round (q3, q4, e4, delta, p34, z_sign, p_sign, C3, C4, + rnd_mode, &is_midpoint_lt_even, + &is_midpoint_gt_even, &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, pfpsf, &res); + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } + + } else { // if delta < 0 + + delta = -delta; + + if (p34 < q4 && q4 <= delta) { // Case (7) + + // truncate C4 to p34 digits into res + // x = q4-p34, 1 <= x <= 34 because 35 <= q4 <= 68 + x0 = q4 - p34; + if (q4 <= 38) { + P128.w[1] = C4.w[1]; + P128.w[0] = C4.w[0]; + round128_19_38 (q4, x0, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } else if (q4 <= 57) { // 35 <= q4 <= 57 + P192.w[2] = C4.w[2]; + P192.w[1] = C4.w[1]; + P192.w[0] = C4.w[0]; + round192_39_57 (q4, x0, P192, &R192, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + res.w[0] = R192.w[0]; + res.w[1] = R192.w[1]; + } else { // if (q4 <= 68) + round256_58_76 (q4, x0, C4, &R256, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + res.w[0] = R256.w[0]; + res.w[1] = R256.w[1]; + } + e4 = e4 + x0; + if (incr_exp) { + e4 = e4 + 1; + } + if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if C4 rounded to p34 digits is exact then the result is inexact, + // in a way that depends on the signs of x * y and z + if (p_sign == z_sign) { + is_inexact_lt_midpoint = 1; + } else { // if (p_sign != z_sign) + if (res.w[1] != 0x0000314dc6448d93ull || + res.w[0] != 0x38c15b0a00000000ull) { // res != 10^33 + is_inexact_gt_midpoint = 1; + } else { // res = 10^33 and exact is a special case + // if C3 < 1/2 ulp then res = 10^33 and is_inexact_gt_midpoint = 1 + // if C3 = 1/2 ulp then res = 10^33 and is_midpoint_lt_even = 1 + // if C3 > 1/2 ulp then res = 10^34-1 and is_inexact_lt_midpoint = 1 + // Note: ulp is really ulp/10 (after borrow which propagates to msd) + if (delta > p34 + 1) { // C3 < 1/2 + // res = 10^33, unchanged + is_inexact_gt_midpoint = 1; + } else { // if (delta == p34 + 1) + if (q3 <= 19) { + if (C3.w[0] < midpoint64[q3 - 1]) { // C3 < 1/2 ulp + // res = 10^33, unchanged + is_inexact_gt_midpoint = 1; + } else if (C3.w[0] == midpoint64[q3 - 1]) { // C3 = 1/2 ulp + // res = 10^33, unchanged + is_midpoint_lt_even = 1; + } else { // if (C3.w[0] > midpoint64[q3-1]), C3 > 1/2 ulp + res.w[1] = 0x0001ed09bead87c0ull; // 10^34 - 1 + res.w[0] = 0x378d8e63ffffffffull; + e4 = e4 - 1; + is_inexact_lt_midpoint = 1; + } + } else { // if (20 <= q3 <=34) + if (C3.w[1] < midpoint128[q3 - 20].w[1] || + (C3.w[1] == midpoint128[q3 - 20].w[1] && + C3.w[0] < midpoint128[q3 - 20].w[0])) { // C3 < 1/2 ulp + // res = 10^33, unchanged + is_inexact_gt_midpoint = 1; + } else if (C3.w[1] == midpoint128[q3 - 20].w[1] && + C3.w[0] == midpoint128[q3 - 20].w[0]) { // C3 = 1/2 ulp + // res = 10^33, unchanged + is_midpoint_lt_even = 1; + } else { // if (C3 > midpoint128[q3-20]), C3 > 1/2 ulp + res.w[1] = 0x0001ed09bead87c0ull; // 10^34 - 1 + res.w[0] = 0x378d8e63ffffffffull; + e4 = e4 - 1; + is_inexact_lt_midpoint = 1; + } + } + } + } + } + } else if (is_midpoint_lt_even) { + if (z_sign != p_sign) { + // needs correction: res = res - 1 + res.w[0] = res.w[0] - 1; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // if it is (10^33-1)*10^e4 then the corect result is + // (10^34-1)*10(e4-1) + if (res.w[1] == 0x0000314dc6448d93ull && + res.w[0] == 0x38c15b09ffffffffull) { + res.w[1] = 0x0001ed09bead87c0ull; // 10^34 - 1 + res.w[0] = 0x378d8e63ffffffffull; + e4 = e4 - 1; + } + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else { // if (z_sign == p_sign) + is_midpoint_lt_even = 0; + is_inexact_gt_midpoint = 1; + } + } else if (is_midpoint_gt_even) { + if (z_sign == p_sign) { + // needs correction: res = res + 1 (cannot cross in the next binade) + res.w[0] = res.w[0] + 1; + if (res.w[0] == 0x0000000000000000ull) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else { // if (z_sign != p_sign) + is_midpoint_gt_even = 0; + is_inexact_lt_midpoint = 1; + } + } else { + ; // the rounded result is already correct + } + // check for overflow + if (rnd_mode == ROUNDING_TO_NEAREST && e4 > expmax) { + res.w[1] = p_sign | 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + } else { // no overflow or not RN + p_exp = ((UINT64) (e4 + 6176) << 49); + res.w[1] = p_sign | (p_exp & MASK_EXP) | res.w[1]; + } + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e4, &res, pfpsf); + } + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } else if ((q4 <= p34 && p34 <= delta) || // Case (8) + (q4 <= delta && delta < p34 && p34 < delta + q3) || // Case (9) + (q4 <= delta && delta + q3 <= p34) || // Case (10) + (delta < q4 && q4 <= p34 && p34 < delta + q3) || // Case (13) + (delta < q4 && q4 <= delta + q3 && delta + q3 <= p34) || // Case (14) + (delta + q3 < q4 && q4 <= p34)) { // Case (18) + + // Case (8) is similar to Case (1), with C3 and C4 swapped + // Case (9) is similar to Case (2), with C3 and C4 swapped + // Case (10) is similar to Case (3), with C3 and C4 swapped + // Case (13) is similar to Case (4), with C3 and C4 swapped + // Case (14) is similar to Case (5), with C3 and C4 swapped + // Case (18) is similar to Case (6), with C3 and C4 swapped + + // swap (C3, C4), (q3, q4), (e3, 34), (z_sign, p_sign), (z_exp, p_exp) + // and go back to delta_ge_zero + // C4.w[3] = 0 and C4.w[2] = 0, so swap just the low part of C4 with C3 + P128.w[1] = C3.w[1]; + P128.w[0] = C3.w[0]; + C3.w[1] = C4.w[1]; + C3.w[0] = C4.w[0]; + C4.w[1] = P128.w[1]; + C4.w[0] = P128.w[0]; + ind = q3; + q3 = q4; + q4 = ind; + ind = e3; + e3 = e4; + e4 = ind; + tmp_sign = z_sign; + z_sign = p_sign; + p_sign = tmp_sign; + tmp.ui64 = z_exp; + z_exp = p_exp; + p_exp = tmp.ui64; + goto delta_ge_zero; + + } else if ((p34 <= delta && delta < q4 && q4 < delta + q3) || // Case (11) + (delta < p34 && p34 < q4 && q4 < delta + q3)) { // Case (12) + + // round C3 to nearest to q3 - x0 digits, where x0 = e4 - e3, + // 1 <= x0 <= q3 - 1 <= p34 - 1 + x0 = e4 - e3; // or x0 = delta + q3 - q4 + if (q3 <= 18) { // 2 <= q3 <= 18 + round64_2_18 (q3, x0, C3.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + // C3.w[1] = 0; + C3.w[0] = R64; + } else if (q3 <= 38) { + round128_19_38 (q3, x0, C3, &R128, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + C3.w[1] = R128.w[1]; + C3.w[0] = R128.w[0]; + } + // the rounded result has q3 - x0 digits + // we want the exponent to be e4, so if incr_exp = 1 then + // multiply the rounded result by 10 - it will still fit in 113 bits + if (incr_exp) { + // 64 x 128 -> 128 + P128.w[1] = C3.w[1]; + P128.w[0] = C3.w[0]; + __mul_64x128_to_128 (C3, ten2k64[1], P128); + } + e3 = e3 + x0; // this is e4 + // now add/subtract the 256-bit C4 and the new (and shorter) 128-bit C3; + // the result will have the sign of x * y; the exponent is e4 + R256.w[3] = 0; + R256.w[2] = 0; + R256.w[1] = C3.w[1]; + R256.w[0] = C3.w[0]; + if (p_sign == z_sign) { // R256 = C4 + R256 + add256 (C4, R256, &R256); + } else { // if (p_sign != z_sign) { // R256 = C4 - R256 + sub256 (C4, R256, &R256); // the result cannot be pure zero + // because the result has opposite sign to that of R256 which was + // rounded, need to change the rounding indicators + lsb = C4.w[0] & 0x01; + if (is_inexact_lt_midpoint) { + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + } else if (is_inexact_gt_midpoint) { + is_inexact_gt_midpoint = 0; + is_inexact_lt_midpoint = 1; + } else if (lsb == 0) { + if (is_midpoint_lt_even) { + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 1; + } else if (is_midpoint_gt_even) { + is_midpoint_gt_even = 0; + is_midpoint_lt_even = 1; + } else { + ; + } + } else if (lsb == 1) { + if (is_midpoint_lt_even) { + // res = res + 1 + R256.w[0]++; + if (R256.w[0] == 0x0) { + R256.w[1]++; + if (R256.w[1] == 0x0) { + R256.w[2]++; + if (R256.w[2] == 0x0) { + R256.w[3]++; + } + } + } + // no check for rounding overflow - R256 was a difference + } else if (is_midpoint_gt_even) { + // res = res - 1 + R256.w[0]--; + if (R256.w[0] == 0xffffffffffffffffull) { + R256.w[1]--; + if (R256.w[1] == 0xffffffffffffffffull) { + R256.w[2]--; + if (R256.w[2] == 0xffffffffffffffffull) { + R256.w[3]--; + } + } + } + } else { + ; + } + } else { + ; + } + } + // determine the number of decimal digits in R256 + ind = nr_digits256 (R256); // ind >= p34 + // if R256 is sum, then ind > p34; if R256 is a difference, then + // ind >= p34; this means that we can calculate the result rounded to + // the destination precision, with unbounded exponent, starting from R256 + // and using the indicators from the rounding of C3 to avoid a double + // rounding error + + if (ind < p34) { + ; + } else if (ind == p34) { + // the result rounded to the destination precision with + // unbounded exponent + // is (-1)^p_sign * R256 * 10^e4 + res.w[1] = R256.w[1]; + res.w[0] = R256.w[0]; + } else { // if (ind > p34) + // if more than P digits, round to nearest to P digits + // round R256 to p34 digits + x0 = ind - p34; // 1 <= x0 <= 34 as 35 <= ind <= 68 + // save C3 rounding indicators to help avoid double rounding error + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + // initialize rounding indicators + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + // round to p34 digits; the result fits in 113 bits + if (ind <= 38) { + P128.w[1] = R256.w[1]; + P128.w[0] = R256.w[0]; + round128_19_38 (ind, x0, P128, &R128, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } else if (ind <= 57) { + P192.w[2] = R256.w[2]; + P192.w[1] = R256.w[1]; + P192.w[0] = R256.w[0]; + round192_39_57 (ind, x0, P192, &R192, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R128.w[1] = R192.w[1]; + R128.w[0] = R192.w[0]; + } else { // if (ind <= 68) + round256_58_76 (ind, x0, R256, &R256, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + R128.w[1] = R256.w[1]; + R128.w[0] = R256.w[0]; + } + // the rounded result has p34 = 34 digits + e4 = e4 + x0 + incr_exp; + + res.w[1] = R128.w[1]; + res.w[0] = R128.w[0]; + + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + // Note: a double rounding error upward is not possible; for this + // the result after the first rounding would have to be 99...95 + // (35 digits in all), possibly followed by a number of zeros; this + // not possible in Cases (2)-(6) or (15)-(17) which may get here + // if this is 10^33 - 1 make it 10^34 - 1 and decrement exponent + if (res.w[1] == 0x0000314dc6448d93ull && + res.w[0] == 0x38c15b09ffffffffull) { // 10^33 - 1 + res.w[1] = 0x0001ed09bead87c0ull; // 10^34 - 1 + res.w[0] = 0x378d8e63ffffffffull; + e4--; + } + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + } + + // determine tininess + if (rnd_mode == ROUNDING_TO_NEAREST) { + if (e4 < expmin) { + is_tiny = 1; // for other rounding modes apply correction + } + } else { + // for RM, RP, RZ, RA apply correction in order to determine tininess + // but do not save the result; apply the correction to + // (-1)^p_sign * res * 10^0 + P128.w[1] = p_sign | 0x3040000000000000ull | res.w[1]; + P128.w[0] = res.w[0]; + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + 0, &P128, pfpsf); + scale = ((P128.w[1] & MASK_EXP) >> 49) - 6176; // -1, 0, or +1 + // the number of digits in the significand is p34 = 34 + if (e4 + scale < expmin) { + is_tiny = 1; + } + } + + // the result rounded to the destination precision with unbounded exponent + // is (-1)^p_sign * res * 10^e4 + res.w[1] = p_sign | ((UINT64) (e4 + 6176) << 49) | res.w[1]; // RN + // res.w[0] unchanged; + // Note: res is correct only if expmin <= e4 <= expmax + ind = p34; // the number of decimal digits in the signifcand of res + + // at this point we have the result rounded with unbounded exponent in + // res and we know its tininess: + // res = (-1)^p_sign * significand * 10^e4, + // where q (significand) = ind = p34 + // Note: res is correct only if expmin <= e4 <= expmax + + // check for overflow if RN + if (rnd_mode == ROUNDING_TO_NEAREST + && (ind + e4) > (p34 + expmax)) { + res.w[1] = p_sign | 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + } // else not overflow or not RN, so continue + + // from this point on this is similar to the last part of the computation + // for Cases (15), (16), (17) + + // if (e4 >= expmin) we have the result rounded with bounded exponent + if (e4 < expmin) { + x0 = expmin - e4; // x0 >= 1; the number of digits to chop off of res + // where the result rounded [at most] once is + // (-1)^p_sign * significand_res * 10^e4 + + // avoid double rounding error + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + + if (x0 > ind) { + // nothing is left of res when moving the decimal point left x0 digits + is_inexact_lt_midpoint = 1; + res.w[1] = p_sign | 0x0000000000000000ull; + res.w[0] = 0x0000000000000000ull; + e4 = expmin; + } else if (x0 == ind) { // 1 <= x0 = ind <= p34 = 34 + // this is <, =, or > 1/2 ulp + // compare the ind-digit value in the significand of res with + // 1/2 ulp = 5*10^(ind-1), i.e. determine whether it is + // less than, equal to, or greater than 1/2 ulp (significand of res) + R128.w[1] = res.w[1] & MASK_COEFF; + R128.w[0] = res.w[0]; + if (ind <= 19) { + if (R128.w[0] < midpoint64[ind - 1]) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (R128.w[0] == midpoint64[ind - 1]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + } else { // if (ind <= 38) + if (R128.w[1] < midpoint128[ind - 20].w[1] || + (R128.w[1] == midpoint128[ind - 20].w[1] && + R128.w[0] < midpoint128[ind - 20].w[0])) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (R128.w[1] == midpoint128[ind - 20].w[1] && + R128.w[0] == midpoint128[ind - 20].w[0]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + } + if (lt_half_ulp || eq_half_ulp) { + // res = +0.0 * 10^expmin + res.w[1] = 0x0000000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // if (gt_half_ulp) + // res = +1 * 10^expmin + res.w[1] = 0x0000000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + res.w[1] = p_sign | res.w[1]; + e4 = expmin; + } else { // if (1 <= x0 <= ind - 1 <= 33) + // round the ind-digit result to ind - x0 digits + + if (ind <= 18) { // 2 <= ind <= 18 + round64_2_18 (ind, x0, res.w[0], &R64, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + res.w[1] = 0x0; + res.w[0] = R64; + } else if (ind <= 38) { + P128.w[1] = res.w[1] & MASK_COEFF; + P128.w[0] = res.w[0]; + round128_19_38 (ind, x0, P128, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint); + } + e4 = e4 + x0; // expmin + // we want the exponent to be expmin, so if incr_exp = 1 then + // multiply the rounded result by 10 - it will still fit in 113 bits + if (incr_exp) { + // 64 x 128 -> 128 + P128.w[1] = res.w[1] & MASK_COEFF; + P128.w[0] = res.w[0]; + __mul_64x128_to_128 (res, ten2k64[1], P128); + } + res.w[1] = + p_sign | ((UINT64) (e4 + 6176) << 49) | (res. + w[1] & MASK_COEFF); + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res.w[0]--; + if (res.w[0] == 0xffffffffffffffffull) + res.w[1]--; + // Note: a double rounding error upward is not possible; for this + // the result after the first rounding would have to be 99...95 + // (35 digits in all), possibly followed by a number of zeros; this + // not possible in this underflow case + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res.w[0]++; + if (res.w[0] == 0) + res.w[1]++; + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint + && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 + || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 + || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + } + } + // res contains the correct result + // apply correction if not rounding to nearest + if (rnd_mode != ROUNDING_TO_NEAREST) { + rounding_correction (rnd_mode, + is_inexact_lt_midpoint, + is_inexact_gt_midpoint, + is_midpoint_lt_even, is_midpoint_gt_even, + e4, &res, pfpsf); + } + if (is_midpoint_lt_even || is_midpoint_gt_even || + is_inexact_lt_midpoint || is_inexact_gt_midpoint) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + if (is_tiny) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } else if ((p34 <= delta && delta + q3 <= q4) || // Case (15) + (delta < p34 && p34 < delta + q3 && delta + q3 <= q4) || //Case (16) + (delta + q3 <= p34 && p34 < q4)) { // Case (17) + + // calculate first the result rounded to the destination precision, with + // unbounded exponent + + add_and_round (q3, q4, e4, delta, p34, z_sign, p_sign, C3, C4, + rnd_mode, &is_midpoint_lt_even, + &is_midpoint_gt_even, &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, pfpsf, &res); + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + + } else { + ; + } + + } // end if delta < 0 + + *ptr_is_midpoint_lt_even = is_midpoint_lt_even; + *ptr_is_midpoint_gt_even = is_midpoint_gt_even; + *ptr_is_inexact_lt_midpoint = is_inexact_lt_midpoint; + *ptr_is_inexact_gt_midpoint = is_inexact_gt_midpoint; + BID_SWAP128 (res); + BID_RETURN (res) + +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_fma (UINT128 * pres, UINT128 * px, UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128_fma (UINT128 x, UINT128 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even, is_midpoint_gt_even, + is_inexact_lt_midpoint, is_inexact_gt_midpoint; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + +#if DECIMAL_CALL_BY_REFERENCE + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, &x, &y, &z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x, y, + z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128ddd_fma (UINT128 * pres, UINT64 * px, UINT64 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, y = *py, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128ddd_fma (UINT64 x, UINT64 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 x1, y1, z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, &x1, &y1, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x1, y1, + z1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128ddq_fma (UINT128 * pres, UINT64 * px, UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, y = *py; + UINT128 z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128ddq_fma (UINT64 x, UINT64 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 x1, y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, &x1, &y1, &z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x1, y1, + z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dqd_fma (UINT128 * pres, UINT64 * px, UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dqd_fma (UINT64 x, UINT128 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 x1, z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, &x1, py, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x1, y, + z1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dqq_fma (UINT128 * pres, UINT64 * px, UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dqq_fma (UINT64 x, UINT128 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, &x1, py, pz + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x1, y, + z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128qdd_fma (UINT128 * pres, UINT128 * px, UINT64 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128qdd_fma (UINT128 x, UINT64 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 y1, z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, px, &y1, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x, y1, + z1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128qdq_fma (UINT128 * pres, UINT128 * px, UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128qdq_fma (UINT128 x, UINT64 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, px, &y1, pz + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x, y1, + z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128qqd_fma (UINT128 * pres, UINT128 * px, UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128qqd_fma (UINT128 x, UINT128 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint, + &res, px, py, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_ext_fma (&is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, + &is_inexact_gt_midpoint, x, y, + z1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + +// Note: bid128qqq_fma is represented by bid128_fma + +// Note: bid64ddd_fma is represented by bid64_fma + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64ddq_fma (UINT64 * pres, UINT64 * px, UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64ddq_fma (UINT64 x, UINT64 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res1 = 0xbaddbaddbaddbaddull; + UINT128 x1, y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qqq_fma (&res1, &x1, &y1, pz + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res1 = bid64qqq_fma (x1, y1, z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res1); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64dqd_fma (UINT64 * pres, UINT64 * px, UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64dqd_fma (UINT64 x, UINT128 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res1 = 0xbaddbaddbaddbaddull; + UINT128 x1, z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qqq_fma (&res1, &x1, py, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res1 = bid64qqq_fma (x1, y, z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res1); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64dqq_fma (UINT64 * pres, UINT64 * px, UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64dqq_fma (UINT64 x, UINT128 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res1 = 0xbaddbaddbaddbaddull; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qqq_fma (&res1, &x1, py, pz + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res1 = bid64qqq_fma (x1, y, z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res1); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qdd_fma (UINT64 * pres, UINT128 * px, UINT64 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qdd_fma (UINT128 x, UINT64 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res1 = 0xbaddbaddbaddbaddull; + UINT128 y1, z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qqq_fma (&res1, px, &y1, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res1 = bid64qqq_fma (x, y1, z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res1); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qdq_fma (UINT64 * pres, UINT128 * px, UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qdq_fma (UINT128 x, UINT64 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res1 = 0xbaddbaddbaddbaddull; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qqq_fma (&res1, px, &y1, pz + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res1 = bid64qqq_fma (x, y1, z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res1); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qqd_fma (UINT64 * pres, UINT128 * px, UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qqd_fma (UINT128 x, UINT128 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res1 = 0xbaddbaddbaddbaddull; + UINT128 z1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&z1, &z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qqq_fma (&res1, px, py, &z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + z1 = bid64_to_bid128 (z _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res1 = bid64qqq_fma (x, y, z1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res1); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qqq_fma (UINT64 * pres, UINT128 * px, UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py, z = *pz; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qqq_fma (UINT128 x, UINT128 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int is_midpoint_lt_even0 = 0, is_midpoint_gt_even0 = 0, + is_inexact_lt_midpoint0 = 0, is_inexact_gt_midpoint0 = 0; + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0, + is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + int incr_exp; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT128 res128 = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; + UINT64 res1 = 0xbaddbaddbaddbaddull; + unsigned int save_fpsf; // needed because of the call to bid128_ext_fma + UINT64 sign; + UINT64 exp; + int unbexp; + UINT128 C; + BID_UI64DOUBLE tmp; + int nr_bits; + int q, x0; + int scale; + int lt_half_ulp = 0, eq_half_ulp = 0; + + // Note: for rounding modes other than RN or RA, the result can be obtained + // by rounding first to BID128 and then to BID64 + + save_fpsf = *pfpsf; // sticky bits - caller value must be preserved + *pfpsf = 0; + +#if DECIMAL_CALL_BY_REFERENCE + bid128_ext_fma (&is_midpoint_lt_even0, &is_midpoint_gt_even0, + &is_inexact_lt_midpoint0, &is_inexact_gt_midpoint0, + &res, &x, &y, &z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid128_ext_fma (&is_midpoint_lt_even0, &is_midpoint_gt_even0, + &is_inexact_lt_midpoint0, + &is_inexact_gt_midpoint0, x, y, + z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + + if ((rnd_mode == ROUNDING_DOWN) || (rnd_mode == ROUNDING_UP) || + (rnd_mode == ROUNDING_TO_ZERO) || // no double rounding error is possible + ((res.w[HIGH_128W] & MASK_NAN) == MASK_NAN) || //res=QNaN (cannot be SNaN) + ((res.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF)) { // result is infinity +#if DECIMAL_CALL_BY_REFERENCE + bid128_to_bid64 (&res1, &res _RND_MODE_ARG _EXC_FLAGS_ARG); +#else + res1 = bid128_to_bid64 (res _RND_MODE_ARG _EXC_FLAGS_ARG); +#endif + // determine the unbiased exponent of the result + unbexp = ((res1 >> 53) & 0x3ff) - 398; + + // if subnormal, res1 must have exp = -398 + // if tiny and inexact set underflow and inexact status flags + if (!((res1 & MASK_NAN) == MASK_NAN) && // res1 not NaN + (unbexp == -398) + && ((res1 & MASK_BINARY_SIG1) < 1000000000000000ull) + && (is_inexact_lt_midpoint0 || is_inexact_gt_midpoint0 + || is_midpoint_lt_even0 || is_midpoint_gt_even0)) { + // set the inexact flag and the underflow flag + *pfpsf |= (INEXACT_EXCEPTION | UNDERFLOW_EXCEPTION); + } else if (is_inexact_lt_midpoint0 || is_inexact_gt_midpoint0 || + is_midpoint_lt_even0 || is_midpoint_gt_even0) { + // set the inexact flag and the underflow flag + *pfpsf |= INEXACT_EXCEPTION; + } + + *pfpsf |= save_fpsf; + BID_RETURN (res1); + } // else continue, and use rounding to nearest to round to 16 digits + + // at this point the result is rounded to nearest (even or away) to 34 digits + // (or less if exact), and it is zero or finite non-zero canonical [sub]normal + sign = res.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + exp = res.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits + unbexp = (exp >> 49) - 6176; + C.w[1] = res.w[HIGH_128W] & MASK_COEFF; + C.w[0] = res.w[LOW_128W]; + + if ((C.w[1] == 0x0 && C.w[0] == 0x0) || // result is zero + (unbexp <= (-398 - 35)) || (unbexp >= (369 + 16))) { + // clear under/overflow +#if DECIMAL_CALL_BY_REFERENCE + bid128_to_bid64 (&res1, &res _RND_MODE_ARG _EXC_FLAGS_ARG); +#else + res1 = bid128_to_bid64 (res _RND_MODE_ARG _EXC_FLAGS_ARG); +#endif + *pfpsf |= save_fpsf; + BID_RETURN (res1); + } // else continue + + // -398 - 34 <= unbexp <= 369 + 15 + if (rnd_mode == ROUNDING_TIES_AWAY) { + // apply correction, if needed, to make the result rounded to nearest-even + if (is_midpoint_gt_even) { + // res = res - 1 + res1--; // res1 is now even + } // else the result is already correctly rounded to nearest-even + } + // at this point the result is finite, non-zero canonical normal or subnormal, + // and in most cases overflow or underflow will not occur + + // determine the number of digits q in the result + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C.w[1] == 0) { + if (C.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp.d = (double) (C.w[0] >> 32); // exact conversion + nr_bits = + 33 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp.d = (double) (C.w[0]); // exact conversion + nr_bits = + 1 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp.d = (double) C.w[0]; // exact conversion + nr_bits = + 1 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C.w[1] != 0 => nr. bits = 64 + nr_bits (C.w[1]) + tmp.d = (double) C.w[1]; // exact conversion + nr_bits = + 65 + ((((unsigned int) (tmp.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[nr_bits - 1].digits1; + if (C.w[1] > nr_digits[nr_bits - 1].threshold_hi || + (C.w[1] == nr_digits[nr_bits - 1].threshold_hi && + C.w[0] >= nr_digits[nr_bits - 1].threshold_lo)) + q++; + } + // if q > 16, round to nearest even to 16 digits (but for underflow it may + // have to be truncated even more) + if (q > 16) { + x0 = q - 16; + if (q <= 18) { + round64_2_18 (q, x0, C.w[0], &res1, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + } else { // 19 <= q <= 34 + round128_19_38 (q, x0, C, &res128, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + res1 = res128.w[0]; // the result fits in 64 bits + } + unbexp = unbexp + x0; + if (incr_exp) + unbexp++; + q = 16; // need to set in case denormalization is necessary + } else { + // the result does not require a second rounding (and it must have + // been exact in the first rounding, since q <= 16) + res1 = C.w[0]; + } + + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res1--; // res1 becomes odd + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + if (res1 == 0x00038d7ea4c67fffull) { // 10^15 - 1 + res1 = 0x002386f26fc0ffffull; // 10^16 - 1 + unbexp--; + } + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res1++; // res1 becomes odd (so it cannot be 10^16) + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if this second rounding was exact the result may still be + // inexact because of the first rounding + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + // this is the result rounded correctly to nearest even, with unbounded exp. + + // check for overflow + if (q + unbexp > P16 + expmax16) { + res1 = sign | 0x7800000000000000ull; + *pfpsf |= (INEXACT_EXCEPTION | OVERFLOW_EXCEPTION); + *pfpsf |= save_fpsf; + BID_RETURN (res1) + } else if (unbexp > expmax16) { // q + unbexp <= P16 + expmax16 + // not overflow; the result must be exact, and we can multiply res1 by + // 10^(unbexp - expmax16) and the product will fit in 16 decimal digits + scale = unbexp - expmax16; + res1 = res1 * ten2k64[scale]; // res1 * 10^scale + unbexp = expmax16; // unbexp - scale + } else { + ; // continue + } + + // check for underflow + if (q + unbexp < P16 + expmin16) { + if (unbexp < expmin16) { + // we must truncate more of res + x0 = expmin16 - unbexp; // x0 >= 1 + is_inexact_lt_midpoint0 = is_inexact_lt_midpoint; + is_inexact_gt_midpoint0 = is_inexact_gt_midpoint; + is_midpoint_lt_even0 = is_midpoint_lt_even; + is_midpoint_gt_even0 = is_midpoint_gt_even; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + // the number of decimal digits in res1 is q + if (x0 < q) { // 1 <= x0 <= q-1 => round res to q - x0 digits + // 2 <= q <= 16, 1 <= x0 <= 15 + round64_2_18 (q, x0, res1, &res1, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + if (incr_exp) { + // res1 = 10^(q-x0), 1 <= q - x0 <= q - 1, 1 <= q - x0 <= 15 + res1 = ten2k64[q - x0]; + } + unbexp = unbexp + x0; // expmin16 + } else if (x0 == q) { + // the second rounding is for 0.d(0)d(1)...d(q-1) * 10^emin + // determine relationship with 1/2 ulp + // q <= 16 + if (res1 < midpoint64[q - 1]) { // < 1/2 ulp + lt_half_ulp = 1; + is_inexact_lt_midpoint = 1; + } else if (res1 == midpoint64[q - 1]) { // = 1/2 ulp + eq_half_ulp = 1; + is_midpoint_gt_even = 1; + } else { // > 1/2 ulp + // gt_half_ulp = 1; + is_inexact_gt_midpoint = 1; + } + if (lt_half_ulp || eq_half_ulp) { + // res = +0.0 * 10^expmin16 + res1 = 0x0000000000000000ull; + } else { // if (gt_half_ulp) + // res = +1 * 10^expmin16 + res1 = 0x0000000000000001ull; + } + unbexp = expmin16; + } else { // if (x0 > q) + // the second rounding is for 0.0...d(0)d(1)...d(q-1) * 10^emin + res1 = 0x0000000000000000ull; + unbexp = expmin16; + is_inexact_lt_midpoint = 1; + } + // avoid a double rounding error + if ((is_inexact_gt_midpoint0 || is_midpoint_lt_even0) && + is_midpoint_lt_even) { // double rounding error upward + // res = res - 1 + res1--; // res1 becomes odd + is_midpoint_lt_even = 0; + is_inexact_lt_midpoint = 1; + } else if ((is_inexact_lt_midpoint0 || is_midpoint_gt_even0) && + is_midpoint_gt_even) { // double rounding error downward + // res = res + 1 + res1++; // res1 becomes odd + is_midpoint_gt_even = 0; + is_inexact_gt_midpoint = 1; + } else if (!is_midpoint_lt_even && !is_midpoint_gt_even && + !is_inexact_lt_midpoint && !is_inexact_gt_midpoint) { + // if this rounding was exact the result may still be + // inexact because of the previous roundings + if (is_inexact_gt_midpoint0 || is_midpoint_lt_even0) { + is_inexact_gt_midpoint = 1; + } + if (is_inexact_lt_midpoint0 || is_midpoint_gt_even0) { + is_inexact_lt_midpoint = 1; + } + } else if (is_midpoint_gt_even && + (is_inexact_gt_midpoint0 || is_midpoint_lt_even0)) { + // pulled up to a midpoint + is_inexact_lt_midpoint = 1; + is_inexact_gt_midpoint = 0; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else if (is_midpoint_lt_even && + (is_inexact_lt_midpoint0 || is_midpoint_gt_even0)) { + // pulled down to a midpoint + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 1; + is_midpoint_lt_even = 0; + is_midpoint_gt_even = 0; + } else { + ; + } + } + // else if unbexp >= emin then q < P (because q + unbexp < P16 + expmin16) + // and the result is tiny and exact + + // check for inexact result + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even || + is_inexact_lt_midpoint0 || is_inexact_gt_midpoint0 || + is_midpoint_lt_even0 || is_midpoint_gt_even0) { + // set the inexact flag and the underflow flag + *pfpsf |= (INEXACT_EXCEPTION | UNDERFLOW_EXCEPTION); + } + } else if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) { + *pfpsf |= INEXACT_EXCEPTION; + } + // this is the result rounded correctly to nearest, with bounded exponent + + if (rnd_mode == ROUNDING_TIES_AWAY && is_midpoint_gt_even) { // correction + // res = res + 1 + res1++; // res1 is now odd + } // else the result is already correct + + // assemble the result + if (res1 < 0x0020000000000000ull) { // res < 2^53 + res1 = sign | ((UINT64) (unbexp + 398) << 53) | res1; + } else { // res1 >= 2^53 + res1 = sign | MASK_STEERING_BITS | + ((UINT64) (unbexp + 398) << 51) | (res1 & MASK_BINARY_SIG2); + } + *pfpsf |= save_fpsf; + BID_RETURN (res1); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_logb.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_logb.c new file mode 100644 index 0000000000..713880d207 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_logb.c @@ -0,0 +1,58 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE(int, bid128_logb, x) + + UINT128 CX; + UINT64 sign_x; + SINT64 D; + int_float f64, fx; + int exponent_x, bin_expon_cx, digits; + + if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN_VAL (0x80000000); + } + // find number of digits in coefficient + // 2^64 + f64.i = 0x5f800000; + // fx ~ CX + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; + digits = estimate_decimal_digits[bin_expon_cx]; + // scale = 38-estimate_decimal_digits[bin_expon_cx]; + D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; + if (D > 0 || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) { + digits++; + } + + exponent_x = exponent_x - DECIMAL_EXPONENT_BIAS_128 - 1 + digits; + + BID_RETURN_VAL (exponent_x); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_minmax.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_minmax.c new file mode 100644 index 0000000000..af4ee9cefc --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_minmax.c @@ -0,0 +1,1095 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +/***************************************************************************** + * BID128 minimum number + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_minnum (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +UINT128 +bid128_minnum (UINT128 x, UINT128 y _EXC_FLAGS_PARAM) { +#endif + + UINT128 res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0; + + BID_SWAP128 (x); + BID_SWAP128 (y); + + // check for non-canonical x + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + x.w[1] = x.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + } else if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x = inf + x.w[1] = x.w[1] & (MASK_SIGN | MASK_INF); + x.w[0] = 0x0ull; + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + x.w[1] = (x.w[1] & MASK_SIGN) | ((x.w[1] << 2) & MASK_EXP); + x.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((x.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((x.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && x.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + x.w[1] = (x.w[1] & MASK_SIGN) | (x.w[1] & MASK_EXP); + x.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + // check for non-canonical y + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + y.w[1] = y.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + } else if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + y.w[1] = y.w[1] & (MASK_SIGN | MASK_INF); + y.w[0] = 0x0ull; + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + y.w[1] = (y.w[1] & MASK_SIGN) | ((y.w[1] << 2) & MASK_EXP); + y.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((y.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((y.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && y.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + y.w[1] = (y.w[1] & MASK_SIGN) | (y.w[1] & MASK_EXP); + y.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + + // NaN (CASE1) + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x.w[1] = x.w[1] & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y.w[1] = y.w[1] & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = x; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + res = (((x.w[1] & MASK_SIGN) == MASK_SIGN)) ? x : y; + BID_RETURN (res); + } else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // CONVERT X + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CONVERT Y + exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; + sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; + sig_y.w[0] = y.w[0]; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => ignore the exponent + // field + // (Any non-canonical # is considered 0) + if ((sig_x.w[1] == 0) && (sig_x.w[0] == 0)) { + x_is_zero = 1; + } + if ((sig_y.w[1] == 0) && (sig_y.w[0] == 0)) { + y_is_zero = 1; + } + + if (x_is_zero && y_is_zero) { + // if both numbers are zero, neither is greater => return either number + res = x; + BID_RETURN (res); + } else if (x_is_zero) { + // is x is zero, it is greater if Y is negative + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } else if (y_is_zero) { + // is y is zero, X is greater if it is positive + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison of + // the significands + if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)) ? y : x; + BID_RETURN (res); + } + // if both components are either bigger or smaller, it is clear what + // needs to be done + if (sig_x.w[1] >= sig_y.w[1] && sig_x.w[0] >= sig_y.w[0] + && exp_x > exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN) ? y : x; + BID_RETURN (res); + } + if (sig_x.w[1] <= sig_y.w[1] && sig_x.w[0] <= sig_y.w[0] + && exp_x < exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + + diff = exp_x - exp_y; + + // if |exp_x - exp_y| < 33, it comes down to the compensated significand + if (diff > 0) { // to simplify the loop below, + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + // difference cannot be greater than 10^33 + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN) ? y : x; + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + // if postitive, return whichever significand is larger + // (converse if negative) + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == + MASK_SIGN)) ? y : x; + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_x); + // if postitive, return whichever significand is larger + // (converse if negative) + res = + (((sig_n_prime192.w[2] > 0) || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)) ? y : x; + BID_RETURN (res); + } + diff = exp_y - exp_x; + // if exp_x is 33 less than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + // if postitive, return whichever significand is larger + // (converse if negative) + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_y); + // if postitive, return whichever significand is larger (converse if negative) + res = + ((sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > sig_x.w[0]))) + ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)) ? x : y; + BID_RETURN (res); +} + +/***************************************************************************** + * BID128 minimum magnitude function - returns greater of two numbers + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_minnum_mag (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +UINT128 +bid128_minnum_mag (UINT128 x, UINT128 y _EXC_FLAGS_PARAM) { +#endif + + UINT128 res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + + BID_SWAP128 (x); + BID_SWAP128 (y); + + // check for non-canonical x + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + x.w[1] = x.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + } else if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x = inf + x.w[1] = x.w[1] & (MASK_SIGN | MASK_INF); + x.w[0] = 0x0ull; + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + x.w[1] = (x.w[1] & MASK_SIGN) | ((x.w[1] << 2) & MASK_EXP); + x.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((x.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((x.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && x.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + x.w[1] = (x.w[1] & MASK_SIGN) | (x.w[1] & MASK_EXP); + x.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + // check for non-canonical y + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + y.w[1] = y.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + } else if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + y.w[1] = y.w[1] & (MASK_SIGN | MASK_INF); + y.w[0] = 0x0ull; + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + y.w[1] = (y.w[1] & MASK_SIGN) | ((y.w[1] << 2) & MASK_EXP); + y.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((y.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((y.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && y.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + y.w[1] = (y.w[1] & MASK_SIGN) | (y.w[1] & MASK_EXP); + y.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + + // NaN (CASE1) + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x.w[1] = x.w[1] & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y.w[1] = y.w[1] & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = y; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x infinity, it has maximum magnitude. + // Check if magnitudes are equal. If x is negative, return it. + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN + && (y.w[1] & MASK_INF) == MASK_INF) ? x : y; + BID_RETURN (res); + } else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is infinity, then x is less in magnitude + res = x; + BID_RETURN (res); + } + // CONVERT X + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CONVERT Y + exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; + sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; + sig_y.w[0] = y.w[0]; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if ((sig_x.w[1] == 0) && (sig_x.w[0] == 0)) { + res = x; + BID_RETURN (res); + } + if ((sig_y.w[1] == 0) && (sig_y.w[0] == 0)) { + res = y; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // check if exponents are the same and significands are the same + if (exp_y == exp_x && sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] == sig_y.w[0]) { + if (x.w[1] & 0x8000000000000000ull) { // x is negative + res = x; + BID_RETURN (res); + } else { + res = y; + BID_RETURN (res); + } + } else if (((sig_x.w[1] > sig_y.w[1] || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] > sig_y.w[0])) + && exp_x == exp_y) + || ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) + && exp_x > exp_y)) { + // if both components are either bigger or smaller, it is clear what + // needs to be done; also if the magnitudes are equal + res = y; + BID_RETURN (res); + } else if (((sig_y.w[1] > sig_x.w[1] || (sig_y.w[1] == sig_x.w[1] + && sig_y.w[0] > sig_x.w[0])) + && exp_y == exp_x) + || ((sig_y.w[1] > sig_x.w[1] + || (sig_y.w[1] == sig_x.w[1] + && sig_y.w[0] >= sig_x.w[0])) + && exp_y > exp_x)) { + res = x; + BID_RETURN (res); + } else { + ; // continue + } + diff = exp_x - exp_y; + // if |exp_x - exp_y| < 33, it comes down to the compensated significand + if (diff > 0) { // to simplify the loop below, + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = y; // difference cannot be greater than 10^33 + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + // if positive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; // if equal + BID_RETURN (res); + } + res = (((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > sig_y.w[0])) ? y : x; + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_x); + // if positive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + // if = in magnitude, return +, (if possible) + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + res = ((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > sig_y.w[0])) ? y : x; + BID_RETURN (res); + } + diff = exp_y - exp_x; + // if exp_x is 33 less than exp_y, no need for compensation + if (diff > 33) { + res = x; + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + // if positive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + // if = in magnitude, return +, (if possible) + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + res = (sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < sig_x.w[0]))) ? y : x; + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_y); + // if positive, return whichever significand is larger (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + // if = in magnitude, return +, if possible) + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < sig_x.w[0]))) ? y : x; + BID_RETURN (res); +} + +/***************************************************************************** + * BID128 maximum function - returns greater of two numbers + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_maxnum (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +UINT128 +bid128_maxnum (UINT128 x, UINT128 y _EXC_FLAGS_PARAM) { +#endif + + UINT128 res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0; + + BID_SWAP128 (x); + BID_SWAP128 (y); + + // check for non-canonical x + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + x.w[1] = x.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + } else if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x = inf + x.w[1] = x.w[1] & (MASK_SIGN | MASK_INF); + x.w[0] = 0x0ull; + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + x.w[1] = (x.w[1] & MASK_SIGN) | ((x.w[1] << 2) & MASK_EXP); + x.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((x.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((x.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && x.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + x.w[1] = (x.w[1] & MASK_SIGN) | (x.w[1] & MASK_EXP); + x.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + // check for non-canonical y + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + y.w[1] = y.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + } else if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + y.w[1] = y.w[1] & (MASK_SIGN | MASK_INF); + y.w[0] = 0x0ull; + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + y.w[1] = (y.w[1] & MASK_SIGN) | ((y.w[1] << 2) & MASK_EXP); + y.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((y.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((y.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && y.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + y.w[1] = (y.w[1] & MASK_SIGN) | (y.w[1] & MASK_EXP); + y.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + + // NaN (CASE1) + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x.w[1] = x.w[1] & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y.w[1] = y.w[1] & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = x; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x.w[1] & MASK_INF) == MASK_INF) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // CONVERT X + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CONVERT Y + exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; + sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; + sig_y.w[0] = y.w[0]; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if ((sig_x.w[1] == 0) && (sig_x.w[0] == 0)) { + x_is_zero = 1; + } + if ((sig_y.w[1] == 0) && (sig_y.w[0] == 0)) { + y_is_zero = 1; + } + + if (x_is_zero && y_is_zero) { + // if both numbers are zero, neither is greater => return either number + res = x; + BID_RETURN (res); + } else if (x_is_zero) { + // is x is zero, it is greater if Y is negative + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } else if (y_is_zero) { + // is y is zero, X is greater if it is positive + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x.w[1] ^ y.w[1]) & MASK_SIGN) == MASK_SIGN) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if exponents are the same, then we have a simple comparison of + // the significands + if (exp_y == exp_x) { + res = (((sig_x.w[1] > sig_y.w[1]) || (sig_x.w[1] == sig_y.w[1] && + sig_x.w[0] >= sig_y.w[0])) ^ + ((x.w[1] & MASK_SIGN) == MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + // if both components are either bigger or smaller, it is clear what + // needs to be done + if ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN) ? x : y; + BID_RETURN (res); + } + if ((sig_x.w[1] < sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + diff = exp_x - exp_y; + // if |exp_x - exp_y| < 33, it comes down to the compensated significand + if (diff > 0) { // to simplify the loop below, + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + // difference cannot be greater than 10^33 + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN) ? x : y; + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + // if postitive, return whichever significand is larger + // (converse if negative) + res = ((((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == + MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_x); + // if postitive, return whichever significand is larger + // (converse if negative) + res = + (((sig_n_prime192.w[2] > 0) || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > + sig_y.w[0])) ^ ((y.w[1] & MASK_SIGN) == MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + diff = exp_y - exp_x; + // if exp_x is 33 less than exp_y, no need for compensation + if (diff > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + // if postitive, return whichever significand is larger + // (converse if negative) + res = + ((sig_n_prime256.w[3] != 0 || sig_n_prime256.w[2] != 0 + || (sig_n_prime256.w[1] > sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0]))) ^ ((x.w[1] & MASK_SIGN) != + MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_y); + // if postitive, return whichever significand is larger (converse if negative) + res = + ((sig_n_prime192.w[2] != 0 + || (sig_n_prime192.w[1] > sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0]))) ^ ((y.w[1] & MASK_SIGN) != + MASK_SIGN)) ? x : y; + BID_RETURN (res); +} + +/***************************************************************************** + * BID128 maximum magnitude function - returns greater of two numbers + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_maxnum_mag (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +UINT128 +bid128_maxnum_mag (UINT128 x, UINT128 y _EXC_FLAGS_PARAM) { +#endif + + UINT128 res; + int exp_x, exp_y; + int diff; + UINT128 sig_x, sig_y; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + + BID_SWAP128 (x); + BID_SWAP128 (y); + + // check for non-canonical x + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + x.w[1] = x.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + } else if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x = inf + x.w[1] = x.w[1] & (MASK_SIGN | MASK_INF); + x.w[0] = 0x0ull; + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + x.w[1] = (x.w[1] & MASK_SIGN) | ((x.w[1] << 2) & MASK_EXP); + x.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((x.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((x.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && x.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + x.w[1] = (x.w[1] & MASK_SIGN) | (x.w[1] & MASK_EXP); + x.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + // check for non-canonical y + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + y.w[1] = y.w[1] & 0xfe003fffffffffffull; // clear out G[6]-G[16] + // check for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + } else if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + y.w[1] = y.w[1] & (MASK_SIGN | MASK_INF); + y.w[0] = 0x0ull; + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y.w[1] & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // G0_G1=11 + // non-canonical + y.w[1] = (y.w[1] & MASK_SIGN) | ((y.w[1] << 2) & MASK_EXP); + y.w[0] = 0x0ull; + } else { // G0_G1 != 11 + if ((y.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((y.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull && + y.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + y.w[1] = (y.w[1] & MASK_SIGN) | (y.w[1] & MASK_EXP); + y.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + + // NaN (CASE1) + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x.w[1] = x.w[1] & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y.w[1] = y.w[1] & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x.w[0] == y.w[0] && x.w[1] == y.w[1]) { + res = y; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x infinity, it has maximum magnitude + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN + && (y.w[1] & MASK_INF) == MASK_INF) ? y : x; + BID_RETURN (res); + } else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + res = y; + BID_RETURN (res); + } + // CONVERT X + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CONVERT Y + exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; + sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; + sig_y.w[0] = y.w[0]; + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if ((sig_x.w[1] == 0) && (sig_x.w[0] == 0)) { + res = y; + BID_RETURN (res); + } + if ((sig_y.w[1] == 0) && (sig_y.w[0] == 0)) { + res = x; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + if (exp_y == exp_x && sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] == sig_y.w[0]) { + // check if exponents are the same and significands are the same + if (x.w[1] & 0x8000000000000000ull) { // x is negative + res = y; + BID_RETURN (res); + } else { + res = x; + BID_RETURN (res); + } + } else if (((sig_x.w[1] > sig_y.w[1] || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] > sig_y.w[0])) + && exp_x == exp_y) + || ((sig_x.w[1] > sig_y.w[1] + || (sig_x.w[1] == sig_y.w[1] + && sig_x.w[0] >= sig_y.w[0])) + && exp_x > exp_y)) { + // if both components are either bigger or smaller, it is clear what + // needs to be done; also if the magnitudes are equal + res = x; + BID_RETURN (res); + } else if (((sig_y.w[1] > sig_x.w[1] || (sig_y.w[1] == sig_x.w[1] + && sig_y.w[0] > sig_x.w[0])) + && exp_y == exp_x) + || ((sig_y.w[1] > sig_x.w[1] + || (sig_y.w[1] == sig_x.w[1] + && sig_y.w[0] >= sig_x.w[0])) + && exp_y > exp_x)) { + res = y; + BID_RETURN (res); + } else { + ; // continue + } + diff = exp_x - exp_y; + // if |exp_x - exp_y| < 33, it comes down to the compensated significand + if (diff > 0) { // to simplify the loop below, + // if exp_x is 33 greater than exp_y, no need for compensation + if (diff > 33) { + res = x; // difference cannot be greater than 10^33 + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + __mul_128x128_to_256 (sig_n_prime256, sig_x, ten2k128[diff - 20]); + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_y.w[1] + && (sig_n_prime256.w[0] == sig_y.w[0])) { + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; // if equal + BID_RETURN (res); + } + res = (((sig_n_prime256.w[3] > 0) || sig_n_prime256.w[2] > 0) + || (sig_n_prime256.w[1] > sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] > sig_y.w[0])) ? x : y; + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_x); + // if postitive, return whichever significand is larger (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + // if equal, return positive magnitude + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + res = ((sig_n_prime192.w[2] > 0) + || (sig_n_prime192.w[1] > sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] > sig_y.w[0])) ? x : y; + BID_RETURN (res); + } + diff = exp_y - exp_x; + // if exp_x is 33 less than exp_y, no need for compensation + if (diff > 33) { + res = y; + BID_RETURN (res); + } + if (diff > 19) { //128 by 128 bit multiply -> 256 bits + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, ten2k128[diff - 20]); + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime256.w[3] == 0 && (sig_n_prime256.w[2] == 0) + && sig_n_prime256.w[1] == sig_x.w[1] + && (sig_n_prime256.w[0] == sig_x.w[0])) { + // if equal, return positive (if possible) + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + res = (sig_n_prime256.w[3] == 0 && sig_n_prime256.w[2] == 0 + && (sig_n_prime256.w[1] < sig_x.w[1] + || (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] < sig_x.w[0]))) ? x : y; + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x128_to_192 (sig_n_prime192, ten2k64[diff], sig_y); + // if postitive, return whichever significand is larger (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_x.w[1] + && (sig_n_prime192.w[0] == sig_x.w[0])) { + // if equal, return positive (if possible) + res = ((y.w[1] & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + res = (sig_n_prime192.w[2] == 0 + && (sig_n_prime192.w[1] < sig_x.w[1] + || (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] < sig_x.w[0]))) ? x : y; + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_mul.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_mul.c new file mode 100644 index 0000000000..fbb992c5cf --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_mul.c @@ -0,0 +1,423 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64dq_mul (UINT64 * pres, UINT64 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64dq_mul (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res = 0xbaddbaddbaddbaddull; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qq_mul (&res, &x1, py + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid64qq_mul (x1, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qd_mul (UINT64 * pres, UINT128 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qd_mul (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res = 0xbaddbaddbaddbaddull; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64qq_mul (&res, px, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid64qq_mul (x, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64qq_mul (UINT64 * pres, UINT128 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64qq_mul (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull} + }; + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign, y_sign, p_sign; + UINT64 x_exp, y_exp, p_exp; + int true_p_exp; + UINT128 C1, C2; + + BID_SWAP128 (z); + // skip cases where at least one operand is NaN or infinity + if (!(((x.w[HIGH_128W] & MASK_NAN) == MASK_NAN) || + ((y.w[HIGH_128W] & MASK_NAN) == MASK_NAN) || + ((x.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF) || + ((y.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF))) { + // x, y are 0 or f but not inf or NaN => unpack the arguments and check + // for non-canonical values + + x_sign = x.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C1.w[1] = x.w[HIGH_128W] & MASK_COEFF; + C1.w[0] = x.w[LOW_128W]; + // check for non-canonical values - treated as zero + if ((x.w[HIGH_128W] & 0x6000000000000000ull) == + 0x6000000000000000ull) { + // G0_G1=11 => non-canonical + x_exp = (x.w[HIGH_128W] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low + } else { // G0_G1 != 11 + x_exp = x.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull && + C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } + } + y_sign = y.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C2.w[1] = y.w[HIGH_128W] & MASK_COEFF; + C2.w[0] = y.w[LOW_128W]; + // check for non-canonical values - treated as zero + if ((y.w[HIGH_128W] & 0x6000000000000000ull) == + 0x6000000000000000ull) { + // G0_G1=11 => non-canonical + y_exp = (y.w[HIGH_128W] << 2) & MASK_EXP; // biased and shifted left 49 bits + C2.w[1] = 0; // significand high + C2.w[0] = 0; // significand low + } else { // G0_G1 != 11 + y_exp = y.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits + if (C2.w[1] > 0x0001ed09bead87c0ull || + (C2.w[1] == 0x0001ed09bead87c0ull && + C2.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + C2.w[1] = 0; + C2.w[0] = 0; + } else { // canonical + ; + } + } + p_sign = x_sign ^ y_sign; // sign of the product + + true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176; + // true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0 + if (true_p_exp < -398) + p_exp = 0; // cannot be less than EXP_MIN + else if (true_p_exp > 369) + p_exp = (UINT64) (369 + 398) << 53; // cannot be more than EXP_MAX + else + p_exp = (UINT64) (true_p_exp + 398) << 53; + + if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) || + (C2.w[1] == 0x0 && C2.w[0] == 0x0)) { + // x = 0 or y = 0 + // the result is 0 + res = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX] + BID_RETURN (res) + } // else continue + } + // swap x and y - ensure that a NaN in x has 'higher precedence' than one in y +#if DECIMAL_CALL_BY_REFERENCE + bid64qqq_fma (&res, &y, &x, &z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid64qqq_fma (y, x, z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dd_mul (UINT128 * pres, UINT64 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px, y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dd_mul (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 x1, y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_mul (&res, &x1, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_mul (x1, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128dq_mul (UINT128 * pres, UINT64 * px, UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128dq_mul (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 x1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_mul (&res, &x1, py + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_mul (x1, y + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128qd_mul (UINT128 * pres, UINT128 * px, UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT128 +bid128qd_mul (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT128 y1; + +#if DECIMAL_CALL_BY_REFERENCE + bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid128_mul (&res, px, &y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res = bid128_mul (x, y1 + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} + + +// bid128_mul stands for bid128qq_mul +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_mul (UINT128 * pres, UINT128 * px, + UINT128 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px, y = *py; + +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; + +#endif +#else +UINT128 +bid128_mul (UINT128 x, + UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + +#endif + UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull} + }; + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; + UINT64 x_sign, y_sign, p_sign; + UINT64 x_exp, y_exp, p_exp; + int true_p_exp; + UINT128 C1, C2; + + BID_SWAP128 (x); + BID_SWAP128 (y); + // skip cases where at least one operand is NaN or infinity + if (!(((x.w[1] & MASK_NAN) == MASK_NAN) || + ((y.w[1] & MASK_NAN) == MASK_NAN) || + ((x.w[1] & MASK_ANY_INF) == MASK_INF) || + ((y.w[1] & MASK_ANY_INF) == MASK_INF))) { + // x, y are 0 or f but not inf or NaN => unpack the arguments and check + // for non-canonical values + + x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + // check for non-canonical values - treated as zero + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + // G0_G1=11 => non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull && + C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } + } + y_sign = y.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C2.w[1] = y.w[1] & MASK_COEFF; + C2.w[0] = y.w[0]; + // check for non-canonical values - treated as zero + if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + // G0_G1=11 => non-canonical + y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C2.w[1] = 0; // significand high + C2.w[0] = 0; // significand low + } else { // G0_G1 != 11 + y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C2.w[1] > 0x0001ed09bead87c0ull || + (C2.w[1] == 0x0001ed09bead87c0ull && + C2.w[0] > 0x378d8e63ffffffffull)) { + // y is non-canonical if coefficient is larger than 10^34 -1 + C2.w[1] = 0; + C2.w[0] = 0; + } else { // canonical + ; + } + } + p_sign = x_sign ^ y_sign; // sign of the product + + true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176; + // true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0 + if (true_p_exp < -6176) + p_exp = 0; // cannot be less than EXP_MIN + else if (true_p_exp > 6111) + p_exp = (UINT64) (6111 + 6176) << 49; // cannot be more than EXP_MAX + else + p_exp = (UINT64) (true_p_exp + 6176) << 49; + + if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) || + (C2.w[1] == 0x0 && C2.w[0] == 0x0)) { + // x = 0 or y = 0 + // the result is 0 + res.w[1] = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX] + res.w[0] = 0x0; + BID_SWAP128 (res); + BID_RETURN (res) + } // else continue + } + + BID_SWAP128 (x); + BID_SWAP128 (y); + BID_SWAP128 (z); + // swap x and y - ensure that a NaN in x has 'higher precedence' than one in y +#if DECIMAL_CALL_BY_REFERENCE + bid128_fma (&res, &y, &x, &z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = bid128_fma (y, x, z + _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_next.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_next.c new file mode 100644 index 0000000000..cebc4e69b2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_next.c @@ -0,0 +1,643 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +/***************************************************************************** + * BID128 nextup + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_nextup (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +UINT128 +bid128_nextup (UINT128 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q1, ind; + UINT128 C1; // C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (UINT64) + + BID_SWAP128 (x); + // unpack the argument + x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + + // check for NaN or Infinity + if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) + && (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + } else { // x is not NaN, so it must be infinity + if (!x_sign) { // x is +inf + res.w[1] = 0x7800000000000000ull; // +inf + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + res.w[1] = 0xdfffed09bead87c0ull; // -MAXFP = -999...99 * 10^emax + res.w[0] = 0x378d8e63ffffffffull; + } + } + BID_RETURN (res); + } + // check for non-canonical values (treated as zero) + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } + } + + if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is +/-0 + res.w[1] = 0x0000000000000000ull; // +1 * 10^emin + res.w[0] = 0x0000000000000001ull; + } else { // x is not special and is not zero + if (x.w[1] == 0x5fffed09bead87c0ull + && x.w[0] == 0x378d8e63ffffffffull) { + // x = +MAXFP = 999...99 * 10^emax + res.w[1] = 0x7800000000000000ull; // +inf + res.w[0] = 0x0000000000000000ull; + } else if (x.w[1] == 0x8000000000000000ull + && x.w[0] == 0x0000000000000001ull) { + // x = -MINFP = 1...99 * 10^emin + res.w[1] = 0x8000000000000000ull; // -0 + res.w[0] = 0x0000000000000000ull; + } else { // -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + // can add/subtract 1 ulp to the significand + + // Note: we could check here if x >= 10^34 to speed up the case q1 = 34 + // q1 = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rnd errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - + 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - + 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q1 = nr_digits[x_nr_bits - 1].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q1++; + } + // if q1 < P34 then pad the significand with zeros + if (q1 < P34) { + exp = (x_exp >> 49) - 6176; + if (exp + 6176 > P34 - q1) { + ind = P34 - q1; // 1 <= ind <= P34 - 1 + // pad with P34 - q1 zeros, until exponent = emin + // C1 = C1 * 10^ind + if (q1 <= 19) { // 64-bit C1 + if (ind <= 19) { // 64-bit 10^ind and 64-bit C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[ind]); + } else { // 128-bit 10^ind and 64-bit C1 + __mul_128x64_to_128 (C1, C1.w[0], ten2k128[ind - 20]); + } + } else { // C1 is (most likely) 128-bit + if (ind <= 14) { // 64-bit 10^ind and 128-bit C1 (most likely) + __mul_128x64_to_128 (C1, ten2k64[ind], C1); + } else if (ind <= 19) { // 64-bit 10^ind and 64-bit C1 (q1 <= 19) + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[ind]); + } else { // 128-bit 10^ind and 64-bit C1 (C1 must be 64-bit) + __mul_128x64_to_128 (C1, C1.w[0], ten2k128[ind - 20]); + } + } + x_exp = x_exp - ((UINT64) ind << 49); + } else { // pad with zeros until the exponent reaches emin + ind = exp + 6176; + // C1 = C1 * 10^ind + if (ind <= 19) { // 1 <= P34 - q1 <= 19 <=> 15 <= q1 <= 33 + if (q1 <= 19) { // 64-bit C1, 64-bit 10^ind + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[ind]); + } else { // 20 <= q1 <= 33 => 128-bit C1, 64-bit 10^ind + __mul_128x64_to_128 (C1, ten2k64[ind], C1); + } + } else { // if 20 <= P34 - q1 <= 33 <=> 1 <= q1 <= 14 => + // 64-bit C1, 128-bit 10^ind + __mul_128x64_to_128 (C1, C1.w[0], ten2k128[ind - 20]); + } + x_exp = EXP_MIN; + } + } + if (!x_sign) { // x > 0 + // add 1 ulp (add 1 to the significand) + C1.w[0]++; + if (C1.w[0] == 0) + C1.w[1]++; + if (C1.w[1] == 0x0001ed09bead87c0ull && C1.w[0] == 0x378d8e6400000000ull) { // if C1 = 10^34 + C1.w[1] = 0x0000314dc6448d93ull; // C1 = 10^33 + C1.w[0] = 0x38c15b0a00000000ull; + x_exp = x_exp + EXP_P1; + } + } else { // x < 0 + // subtract 1 ulp (subtract 1 from the significand) + C1.w[0]--; + if (C1.w[0] == 0xffffffffffffffffull) + C1.w[1]--; + if (x_exp != 0 && C1.w[1] == 0x0000314dc6448d93ull && C1.w[0] == 0x38c15b09ffffffffull) { // if C1 = 10^33 - 1 + C1.w[1] = 0x0001ed09bead87c0ull; // C1 = 10^34 - 1 + C1.w[0] = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } + // assemble the result + res.w[1] = x_sign | x_exp | C1.w[1]; + res.w[0] = C1.w[0]; + } // end -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + } // end x is not special and is not zero + BID_RETURN (res); +} + +/***************************************************************************** + * BID128 nextdown + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_nextdown (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +UINT128 +bid128_nextdown (UINT128 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q1, ind; + UINT128 C1; // C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (UINT64) + + BID_SWAP128 (x); + // unpack the argument + x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + + // check for NaN or Infinity + if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) + && (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + } else { // x is not NaN, so it must be infinity + if (!x_sign) { // x is +inf + res.w[1] = 0x5fffed09bead87c0ull; // +MAXFP = +999...99 * 10^emax + res.w[0] = 0x378d8e63ffffffffull; + } else { // x is -inf + res.w[1] = 0xf800000000000000ull; // -inf + res.w[0] = 0x0000000000000000ull; + } + } + BID_RETURN (res); + } + // check for non-canonical values (treated as zero) + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } + } + + if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is +/-0 + res.w[1] = 0x8000000000000000ull; // -1 * 10^emin + res.w[0] = 0x0000000000000001ull; + } else { // x is not special and is not zero + if (x.w[1] == 0xdfffed09bead87c0ull + && x.w[0] == 0x378d8e63ffffffffull) { + // x = -MAXFP = -999...99 * 10^emax + res.w[1] = 0xf800000000000000ull; // -inf + res.w[0] = 0x0000000000000000ull; + } else if (x.w[1] == 0x0ull && x.w[0] == 0x0000000000000001ull) { // +MINFP + res.w[1] = 0x0000000000000000ull; // +0 + res.w[0] = 0x0000000000000000ull; + } else { // -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + // can add/subtract 1 ulp to the significand + + // Note: we could check here if x >= 10^34 to speed up the case q1 = 34 + // q1 = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rnd errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - + 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - + 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q1 = nr_digits[x_nr_bits - 1].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q1++; + } + // if q1 < P then pad the significand with zeros + if (q1 < P34) { + exp = (x_exp >> 49) - 6176; + if (exp + 6176 > P34 - q1) { + ind = P34 - q1; // 1 <= ind <= P34 - 1 + // pad with P34 - q1 zeros, until exponent = emin + // C1 = C1 * 10^ind + if (q1 <= 19) { // 64-bit C1 + if (ind <= 19) { // 64-bit 10^ind and 64-bit C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[ind]); + } else { // 128-bit 10^ind and 64-bit C1 + __mul_128x64_to_128 (C1, C1.w[0], ten2k128[ind - 20]); + } + } else { // C1 is (most likely) 128-bit + if (ind <= 14) { // 64-bit 10^ind and 128-bit C1 (most likely) + __mul_128x64_to_128 (C1, ten2k64[ind], C1); + } else if (ind <= 19) { // 64-bit 10^ind and 64-bit C1 (q1 <= 19) + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[ind]); + } else { // 128-bit 10^ind and 64-bit C1 (C1 must be 64-bit) + __mul_128x64_to_128 (C1, C1.w[0], ten2k128[ind - 20]); + } + } + x_exp = x_exp - ((UINT64) ind << 49); + } else { // pad with zeros until the exponent reaches emin + ind = exp + 6176; + // C1 = C1 * 10^ind + if (ind <= 19) { // 1 <= P34 - q1 <= 19 <=> 15 <= q1 <= 33 + if (q1 <= 19) { // 64-bit C1, 64-bit 10^ind + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[ind]); + } else { // 20 <= q1 <= 33 => 128-bit C1, 64-bit 10^ind + __mul_128x64_to_128 (C1, ten2k64[ind], C1); + } + } else { // if 20 <= P34 - q1 <= 33 <=> 1 <= q1 <= 14 => + // 64-bit C1, 128-bit 10^ind + __mul_128x64_to_128 (C1, C1.w[0], ten2k128[ind - 20]); + } + x_exp = EXP_MIN; + } + } + if (x_sign) { // x < 0 + // add 1 ulp (add 1 to the significand) + C1.w[0]++; + if (C1.w[0] == 0) + C1.w[1]++; + if (C1.w[1] == 0x0001ed09bead87c0ull && C1.w[0] == 0x378d8e6400000000ull) { // if C1 = 10^34 + C1.w[1] = 0x0000314dc6448d93ull; // C1 = 10^33 + C1.w[0] = 0x38c15b0a00000000ull; + x_exp = x_exp + EXP_P1; + } + } else { // x > 0 + // subtract 1 ulp (subtract 1 from the significand) + C1.w[0]--; + if (C1.w[0] == 0xffffffffffffffffull) + C1.w[1]--; + if (x_exp != 0 && C1.w[1] == 0x0000314dc6448d93ull && C1.w[0] == 0x38c15b09ffffffffull) { // if C1 = 10^33 - 1 + C1.w[1] = 0x0001ed09bead87c0ull; // C1 = 10^34 - 1 + C1.w[0] = 0x378d8e63ffffffffull; + x_exp = x_exp - EXP_P1; + } + } + // assemble the result + res.w[1] = x_sign | x_exp | C1.w[1]; + res.w[0] = C1.w[0]; + } // end -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + } // end x is not special and is not zero + BID_RETURN (res); +} + +/***************************************************************************** + * BID128 nextafter + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_nextafter (UINT128 * pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ + UINT128 x = *px; + UINT128 y = *py; + UINT128 xnswp = *px; + UINT128 ynswp = *py; +#else +UINT128 +bid128_nextafter (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 xnswp = x; + UINT128 ynswp = y; +#endif + + UINT128 res; + UINT128 tmp1, tmp2, tmp3; + FPSC tmp_fpsf = 0; // dummy fpsf for calls to comparison functions + int res1, res2; + UINT64 x_exp; + + + BID_SWAP128 (x); + BID_SWAP128 (y); + // check for NaNs + if (((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) + || ((y.w[1] & MASK_SPECIAL) == MASK_SPECIAL)) { + // x is special or y is special + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) + && (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } + BID_RETURN (res) + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { // y is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((y.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((y.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) + && (y.w[0] > 0x38c15b09ffffffffull))) { + y.w[1] = y.w[1] & 0xffffc00000000000ull; + y.w[0] = 0x0ull; + } + if ((y.w[1] & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = y.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = y.w[0]; + } else { // x is QNaN + // return x + res.w[1] = y.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = y.w[0]; + } + BID_RETURN (res) + } else { // at least one is infinity + if ((x.w[1] & MASK_ANY_INF) == MASK_INF) { // x = inf + x.w[1] = x.w[1] & (MASK_SIGN | MASK_INF); + x.w[0] = 0x0ull; + } + if ((y.w[1] & MASK_ANY_INF) == MASK_INF) { // y = inf + y.w[1] = y.w[1] & (MASK_SIGN | MASK_INF); + y.w[0] = 0x0ull; + } + } + } + // neither x nor y is NaN + + // if not infinity, check for non-canonical values x (treated as zero) + if ((x.w[1] & MASK_ANY_INF) != MASK_INF) { // x != inf + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + x.w[1] = (x.w[1] & MASK_SIGN) | x_exp; + x.w[0] = 0x0ull; + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if ((x.w[1] & MASK_COEFF) > 0x0001ed09bead87c0ull || + ((x.w[1] & MASK_COEFF) == 0x0001ed09bead87c0ull + && x.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + x.w[1] = (x.w[1] & MASK_SIGN) | x_exp; + x.w[0] = 0x0ull; + } else { // canonical + ; + } + } + } + // no need to check for non-canonical y + + // neither x nor y is NaN + tmp_fpsf = *pfpsf; // save fpsf +#if DECIMAL_CALL_BY_REFERENCE + bid128_quiet_equal (&res1, &xnswp, + &ynswp _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); + bid128_quiet_greater (&res2, &xnswp, + &ynswp _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res1 = + bid128_quiet_equal (xnswp, + ynswp _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); + res2 = + bid128_quiet_greater (xnswp, + ynswp _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + *pfpsf = tmp_fpsf; // restore fpsf + + if (res1) { // x = y + // return x with the sign of y + res.w[1] = + (x.w[1] & 0x7fffffffffffffffull) | (y. + w[1] & 0x8000000000000000ull); + res.w[0] = x.w[0]; + } else if (res2) { // x > y +#if DECIMAL_CALL_BY_REFERENCE + bid128_nextdown (&res, + &xnswp _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = + bid128_nextdown (xnswp _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_SWAP128 (res); + } else { // x < y +#if DECIMAL_CALL_BY_REFERENCE + bid128_nextup (&res, + &xnswp _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#else + res = + bid128_nextup (xnswp _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#endif + BID_SWAP128 (res); + } + // if the operand x is finite but the result is infinite, signal + // overflow and inexact + if (((x.w[1] & MASK_SPECIAL) != MASK_SPECIAL) + && ((res.w[1] & MASK_SPECIAL) == MASK_SPECIAL)) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + // if the result is in (-10^emin, 10^emin), and is different from the + // operand x, signal underflow and inexact + tmp1.w[HIGH_128W] = 0x0000314dc6448d93ull; + tmp1.w[LOW_128W] = 0x38c15b0a00000000ull; // +100...0[34] * 10^emin + tmp2.w[HIGH_128W] = res.w[1] & 0x7fffffffffffffffull; + tmp2.w[LOW_128W] = res.w[0]; + tmp3.w[HIGH_128W] = res.w[1]; + tmp3.w[LOW_128W] = res.w[0]; + tmp_fpsf = *pfpsf; // save fpsf +#if DECIMAL_CALL_BY_REFERENCE + bid128_quiet_greater (&res1, &tmp1, + &tmp2 _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); + bid128_quiet_not_equal (&res2, &xnswp, + &tmp3 _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res1 = + bid128_quiet_greater (tmp1, + tmp2 _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); + res2 = + bid128_quiet_not_equal (xnswp, + tmp3 _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + *pfpsf = tmp_fpsf; // restore fpsf + if (res1 && res2) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the underflow flag + *pfpsf |= UNDERFLOW_EXCEPTION; + } + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_noncomp.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_noncomp.c new file mode 100644 index 0000000000..e6409c06a1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_noncomp.c @@ -0,0 +1,1200 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * + * BID128 non-computational functions: + * - bid128_isSigned + * - bid128_isNormal + * - bid128_isSubnormal + * - bid128_isFinite + * - bid128_isZero + * - bid128_isInf + * - bid128_isSignaling + * - bid128_isCanonical + * - bid128_isNaN + * - bid128_copy + * - bid128_negate + * - bid128_abs + * - bid128_copySign + * - bid128_class + * - bid128_totalOrder + * - bid128_totalOrderMag + * - bid128_sameQuantum + * - bid128_radix + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isSigned (int *pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isSigned (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x.w[HIGH_128W] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +// return 1 iff x is not zero, nor NaN nor subnormal nor infinity +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isNormal (int *pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isNormal (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_exp, C1_hi, C1_lo; + BID_UI64DOUBLE tmp1; + int exp, q, x_nr_bits; + + BID_SWAP128 (x); + // test for special values - infinity or NaN + if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special + res = 0; + BID_RETURN (res); + } + // unpack x + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions + C1_hi = x.w[1] & MASK_COEFF; + C1_lo = x.w[0]; + // test for zero + if (C1_hi == 0 && C1_lo == 0) { + res = 0; + BID_RETURN (res); + } + // test for non-canonical values of the argument x + if ((((C1_hi > 0x0001ed09bead87c0ull) + || ((C1_hi == 0x0001ed09bead87c0ull) + && (C1_lo > 0x378d8e63ffffffffull))) + && ((x.w[1] & 0x6000000000000000ull) != 0x6000000000000000ull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0; + BID_RETURN (res); + } + // x is subnormal or normal + // determine the number of digits q in the significand + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1_hi == 0) { + if (C1_lo >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1_lo >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1_lo >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1_lo); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1_lo; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1_hi != 0 => nr. bits = 64 + nr_bits (C1_hi) + tmp1.d = (double) C1_hi; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1_hi > nr_digits[x_nr_bits - 1].threshold_hi || + (C1_hi == nr_digits[x_nr_bits - 1].threshold_hi && + C1_lo >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (int) (x_exp >> 49) - 6176; + // test for subnormal values of x + if (exp + q <= -6143) { + res = 0; + BID_RETURN (res); + } else { + res = 1; + BID_RETURN (res); + } +} + +// return 1 iff x is not zero, nor NaN nor normal nor infinity +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isSubnormal (int *pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isSubnormal (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_exp, C1_hi, C1_lo; + BID_UI64DOUBLE tmp1; + int exp, q, x_nr_bits; + + BID_SWAP128 (x); + // test for special values - infinity or NaN + if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special + res = 0; + BID_RETURN (res); + } + // unpack x + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions + C1_hi = x.w[1] & MASK_COEFF; + C1_lo = x.w[0]; + // test for zero + if (C1_hi == 0 && C1_lo == 0) { + res = 0; + BID_RETURN (res); + } + // test for non-canonical values of the argument x + if ((((C1_hi > 0x0001ed09bead87c0ull) + || ((C1_hi == 0x0001ed09bead87c0ull) + && (C1_lo > 0x378d8e63ffffffffull))) + && ((x.w[1] & 0x6000000000000000ull) != 0x6000000000000000ull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0; + BID_RETURN (res); + } + // x is subnormal or normal + // determine the number of digits q in the significand + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1_hi == 0) { + if (C1_lo >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1_lo >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1_lo >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1_lo); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1_lo; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1_hi != 0 => nr. bits = 64 + nr_bits (C1_hi) + tmp1.d = (double) C1_hi; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1_hi > nr_digits[x_nr_bits - 1].threshold_hi || + (C1_hi == nr_digits[x_nr_bits - 1].threshold_hi && + C1_lo >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (int) (x_exp >> 49) - 6176; + // test for subnormal values of x + if (exp + q <= -6143) { + res = 1; + } else { + res = 0; + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isFinite (int *pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isFinite (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + res = ((x.w[HIGH_128W] & MASK_INF) != MASK_INF); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isZero (int *pres, UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isZero (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT128 sig_x; + + BID_SWAP128 (x); + if ((x.w[1] & MASK_INF) == MASK_INF) { + res = 0; + BID_RETURN (res); + } + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + if ((sig_x.w[1] > 0x0001ed09bead87c0ull) || // significand is non-canonical + ((sig_x.w[1] == 0x0001ed09bead87c0ull) && (sig_x.w[0] > 0x378d8e63ffffffffull)) || // significand is non-canonical + ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull && (x.w[1] & MASK_INF) != MASK_INF) || // significand is non-canonical + (sig_x.w[1] == 0 && sig_x.w[0] == 0)) { // significand is 0 + res = 1; + BID_RETURN (res); + } + res = 0; + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isInf (int *pres, UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isInf (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + res = ((x.w[HIGH_128W] & MASK_INF) == MASK_INF) + && ((x.w[HIGH_128W] & MASK_NAN) != MASK_NAN); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isSignaling (int *pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isSignaling (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x.w[HIGH_128W] & MASK_SNAN) == MASK_SNAN); + BID_RETURN (res); +} + +// return 1 iff x is a canonical number ,infinity, or NaN. +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isCanonical (int *pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isCanonical (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT128 sig_x; + + BID_SWAP128 (x); + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // NaN + if (x.w[1] & 0x01ffc00000000000ull) { + res = 0; + BID_RETURN (res); + } + sig_x.w[1] = x.w[1] & 0x00003fffffffffffull; // 46 bits + sig_x.w[0] = x.w[0]; // 64 bits + // payload must be < 10^33 = 0x0000314dc6448d93_38c15b0a00000000 + if (sig_x.w[1] < 0x0000314dc6448d93ull + || (sig_x.w[1] == 0x0000314dc6448d93ull + && sig_x.w[0] < 0x38c15b0a00000000ull)) { + res = 1; + } else { + res = 0; + } + BID_RETURN (res); + } else if ((x.w[1] & MASK_INF) == MASK_INF) { // infinity + if ((x.w[1] & 0x03ffffffffffffffull) || x.w[0]) { + res = 0; + } else { + res = 1; + } + BID_RETURN (res); + } + // not NaN or infinity; extract significand to ensure it is canonical + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + // a canonical number has a coefficient < 10^34 + // (0x0001ed09_bead87c0_378d8e64_00000000) + if ((sig_x.w[1] > 0x0001ed09bead87c0ull) || // significand is non-canonical + ((sig_x.w[1] == 0x0001ed09bead87c0ull) && (sig_x.w[0] > 0x378d8e63ffffffffull)) || // significand is non-canonical + ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0; + } else { + res = 1; + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_isNaN (int *pres, UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_isNaN (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x.w[HIGH_128W] & MASK_NAN) == MASK_NAN); + BID_RETURN (res); +} + +// copies a floating-point operand x to destination y, with no change +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_copy (UINT128 * pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +UINT128 +bid128_copy (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 res; + + res = x; + BID_RETURN (res); +} + +// copies a floating-point operand x to destination y, reversing the sign +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_negate (UINT128 * pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +UINT128 +bid128_negate (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 res; + + x.w[HIGH_128W] ^= MASK_SIGN; + res = x; + BID_RETURN (res); +} + +// copies a floating-point operand x to destination y, changing the sign to positive +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_abs (UINT128 * pres, + UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +UINT128 +bid128_abs (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 res; + + x.w[HIGH_128W] &= ~MASK_SIGN; + res = x; + BID_RETURN (res); +} + +// copies operand x to destination in the same format as x, but with the sign of y +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_copySign (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +UINT128 +bid128_copySign (UINT128 x, UINT128 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 res; + + x.w[HIGH_128W] = + (x.w[HIGH_128W] & ~MASK_SIGN) | (y.w[HIGH_128W] & MASK_SIGN); + res = x; + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_class (int *pres, UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_class (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT256 sig_x_prime256; + UINT192 sig_x_prime192; + UINT128 sig_x; + int exp_x; + + BID_SWAP128 (x); + if ((x.w[1] & MASK_NAN) == MASK_NAN) { + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { + res = signalingNaN; + } else { + res = quietNaN; + } + BID_RETURN (res); + } + if ((x.w[1] & MASK_INF) == MASK_INF) { + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) { + res = negativeInfinity; + } else { + res = positiveInfinity; + } + BID_RETURN (res); + } + // decode number into exponent and significand + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + // check for zero or non-canonical + if ((sig_x.w[1] > 0x0001ed09bead87c0ull) + || ((sig_x.w[1] == 0x0001ed09bead87c0ull) + && (sig_x.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) + || ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) { + res = negativeZero; + } else { + res = positiveZero; + } + BID_RETURN (res); + } + exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + // if exponent is less than -6176, the number may be subnormal + // (less than the smallest normal value) + // the smallest normal value is 1 x 10^-6143 = 10^33 x 10^-6176 + // if (exp_x - 6176 < -6143) + if (exp_x < 33) { // sig_x * 10^exp_x + if (exp_x > 19) { + __mul_128x128_to_256 (sig_x_prime256, sig_x, + ten2k128[exp_x - 20]); + // 10^33 = 0x0000314dc6448d93_38c15b0a00000000 + if ((sig_x_prime256.w[3] == 0) && (sig_x_prime256.w[2] == 0) + && ((sig_x_prime256.w[1] < 0x0000314dc6448d93ull) + || ((sig_x_prime256.w[1] == 0x0000314dc6448d93ull) + && (sig_x_prime256.w[0] < 0x38c15b0a00000000ull)))) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? negativeSubnormal : + positiveSubnormal; + BID_RETURN (res); + } + } else { + __mul_64x128_to_192 (sig_x_prime192, ten2k64[exp_x], sig_x); + // 10^33 = 0x0000314dc6448d93_38c15b0a00000000 + if ((sig_x_prime192.w[2] == 0) + && ((sig_x_prime192.w[1] < 0x0000314dc6448d93ull) + || ((sig_x_prime192.w[1] == 0x0000314dc6448d93ull) + && (sig_x_prime192.w[0] < 0x38c15b0a00000000ull)))) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN) ? negativeSubnormal : + positiveSubnormal; + BID_RETURN (res); + } + } + } + // otherwise, normal number, determine the sign + res = + ((x.w[1] & MASK_SIGN) == + MASK_SIGN) ? negativeNormal : positiveNormal; + BID_RETURN (res); +} + +// true if the exponents of x and y are the same, false otherwise. +// The special cases of sameQuantum(NaN, NaN) and sameQuantum(Inf, Inf) are true +// If exactly one operand is infinite or exactly one operand is NaN, then false +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_sameQuantum (int *pres, UINT128 * px, + UINT128 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +int +bid128_sameQuantum (UINT128 x, + UINT128 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_exp, y_exp; + + BID_SWAP128 (x); + BID_SWAP128 (y); + // if both operands are NaN, return true + if ((x.w[1] & MASK_NAN) == MASK_NAN + || ((y.w[1] & MASK_NAN) == MASK_NAN)) { + res = ((x.w[1] & MASK_NAN) == MASK_NAN + && (y.w[1] & MASK_NAN) == MASK_NAN); + BID_RETURN (res); + } + // if both operands are INF, return true + if ((x.w[1] & MASK_INF) == MASK_INF + || (y.w[1] & MASK_INF) == MASK_INF) { + res = ((x.w[1] & MASK_INF) == MASK_INF) + && ((y.w[1] & MASK_INF) == MASK_INF); + BID_RETURN (res); + } + // decode exponents for both numbers, and return true if they match + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + } else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + } + if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + } else { // G0_G1 != 11 + y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits + } + res = (x_exp == y_exp); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_totalOrder (int *pres, UINT128 * px, + UINT128 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +int +bid128_totalOrder (UINT128 x, + UINT128 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT128 sig_x, sig_y, pyld_y, pyld_x; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0; + + BID_SWAP128 (x); + BID_SWAP128 (y); + // NaN (CASE 1) + // if x and y are unordered numerically because either operand is NaN + // (1) totalOrder(-NaN, number) is true + // (2) totalOrder(number, +NaN) is true + // (3) if x and y are both NaN: + // i) negative sign bit < positive sign bit + // ii) signaling < quiet for +NaN, reverse for -NaN + // iii) lesser payload < greater payload for +NaN (reverse for -NaN) + // iv) else if bitwise identical (in canonical form), return 1 + if ((x.w[1] & MASK_NAN) == MASK_NAN) { + // if x is -NaN + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) { + // return true, unless y is -NaN also + if ((y.w[1] & MASK_NAN) != MASK_NAN + || (y.w[1] & MASK_SIGN) != MASK_SIGN) { + res = 1; // y is a number, return 1 + BID_RETURN (res); + } else { // if y and x are both -NaN + pyld_x.w[1] = x.w[1] & 0x00003fffffffffffull; + pyld_x.w[0] = x.w[0]; + pyld_y.w[1] = y.w[1] & 0x00003fffffffffffull; + pyld_y.w[0] = y.w[0]; + if ((pyld_x.w[1] > 0x0000314dc6448d93ull) + || ((pyld_x.w[1] == 0x0000314dc6448d93ull) + && (pyld_x.w[0] > 0x38c15b09ffffffffull))) { + pyld_x.w[1] = 0; + pyld_x.w[0] = 0; + } + if ((pyld_y.w[1] > 0x0000314dc6448d93ull) + || ((pyld_y.w[1] == 0x0000314dc6448d93ull) + && (pyld_y.w[0] > 0x38c15b09ffffffffull))) { + pyld_y.w[1] = 0; + pyld_y.w[0] = 0; + } + // if x and y are both -SNaN or both -QNaN, we have to compare payloads + // this statement evaluates to true if both are SNaN or QNaN + if (! + (((y.w[1] & MASK_SNAN) == MASK_SNAN) ^ + ((x.w[1] & MASK_SNAN) == MASK_SNAN))) { + // it comes down to the payload. we want to return true if x has a + // larger payload, or if the payloads are equal (canonical forms + // are bitwise identical) + if ((pyld_x.w[1] > pyld_y.w[1]) || + ((pyld_x.w[1] == pyld_y.w[1]) + && (pyld_x.w[0] >= pyld_y.w[0]))) + res = 1; + else + res = 0; + BID_RETURN (res); + } else { + // either x = -SNaN and y = -QNaN or x = -QNaN and y = -SNaN + res = ((y.w[1] & MASK_SNAN) == MASK_SNAN); + // totalOrder (-QNaN, -SNaN) == 1 + BID_RETURN (res); + } + } + } else { // x is +NaN + // return false, unless y is +NaN also + if ((y.w[1] & MASK_NAN) != MASK_NAN + || (y.w[1] & MASK_SIGN) == MASK_SIGN) { + res = 0; // y is a number, return 1 + BID_RETURN (res); + } else { + // x and y are both +NaN; + pyld_x.w[1] = x.w[1] & 0x00003fffffffffffull; + pyld_x.w[0] = x.w[0]; + pyld_y.w[1] = y.w[1] & 0x00003fffffffffffull; + pyld_y.w[0] = y.w[0]; + if ((pyld_x.w[1] > 0x0000314dc6448d93ull) + || ((pyld_x.w[1] == 0x0000314dc6448d93ull) + && (pyld_x.w[0] > 0x38c15b09ffffffffull))) { + pyld_x.w[1] = 0; + pyld_x.w[0] = 0; + } + if ((pyld_y.w[1] > 0x0000314dc6448d93ull) + || ((pyld_y.w[1] == 0x0000314dc6448d93ull) + && (pyld_y.w[0] > 0x38c15b09ffffffffull))) { + pyld_y.w[1] = 0; + pyld_y.w[0] = 0; + } + // if x and y are both +SNaN or both +QNaN, we have to compare payloads + // this statement evaluates to true if both are SNaN or QNaN + if (! + (((y.w[1] & MASK_SNAN) == MASK_SNAN) ^ + ((x.w[1] & MASK_SNAN) == MASK_SNAN))) { + // it comes down to the payload. we want to return true if x has a + // smaller payload, or if the payloads are equal (canonical forms + // are bitwise identical) + if ((pyld_x.w[1] < pyld_y.w[1]) || + ((pyld_x.w[1] == pyld_y.w[1]) + && (pyld_x.w[0] <= pyld_y.w[0]))) + res = 1; + else + res = 0; + BID_RETURN (res); + } else { + // either x = SNaN and y = QNaN or x = QNaN and y = SNaN + res = ((x.w[1] & MASK_SNAN) == MASK_SNAN); + // totalOrder (-QNaN, -SNaN) == 1 + BID_RETURN (res); + } + } + } + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { + // x is certainly not NAN in this case. + // return true if y is positive + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // SIMPLE (CASE 2) + // if all the bits are the same, the numbers are equal. + if ((x.w[1] == y.w[1]) && (x.w[0] == y.w[0])) { + res = 1; + BID_RETURN (res); + } + // OPPOSITE SIGNS (CASE 3) + // if signs are opposite, return 1 if x is negative + // (if x < y, totalOrder is true) + if (((x.w[1] & MASK_SIGN) == MASK_SIGN) ^ ((y.w[1] & MASK_SIGN) == + MASK_SIGN)) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // INFINITY (CASE 4) + if ((x.w[1] & MASK_INF) == MASK_INF) { + // if x == neg_inf, return (y == neg_inf); + if ((x.w[1] & MASK_SIGN) == MASK_SIGN) { + res = 1; + BID_RETURN (res); + } else { + // x is positive infinity, only return1 if y is positive infinity as well + res = ((y.w[1] & MASK_INF) == MASK_INF); + BID_RETURN (res); + // && (y & MASK_SIGN) != MASK_SIGN); (we know y has same sign as x) + } + } else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // CONVERT x + sig_x.w[1] = x.w[1] & 0x0001ffffffffffffull; + sig_x.w[0] = x.w[0]; + exp_x = (x.w[1] >> 49) & 0x000000000003fffull; + + // CHECK IF x IS CANONICAL + // 9999999999999999999999999999999999 (decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. + if ((((sig_x.w[1] > 0x0001ed09bead87c0ull) || + ((sig_x.w[1] == 0x0001ed09bead87c0ull) && + (sig_x.w[0] > 0x378d8e63ffffffffull))) && + ((x.w[1] & 0x6000000000000000ull) != 0x6000000000000000ull)) || + ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) || + ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; + // check for the case where the exponent is shifted right by 2 bits! + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + exp_x = (x.w[1] >> 47) & 0x000000000003fffull; + } + } + // CONVERT y + exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; + sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; + sig_y.w[0] = y.w[0]; + + // CHECK IF y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. + if ((((sig_y.w[1] > 0x0001ed09bead87c0ull) || + ((sig_y.w[1] == 0x0001ed09bead87c0ull) && + (sig_y.w[0] > 0x378d8e63ffffffffull))) && + ((y.w[1] & 0x6000000000000000ull) != 0x6000000000000000ull)) || + ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) || + ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; + // check for the case where the exponent is shifted right by 2 bits! + if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + exp_y = (y.w[1] >> 47) & 0x000000000003fffull; + } + } + // ZERO (CASE 5) + // if x and y represent the same entities, and both are negative + // return true iff exp_x <= exp_y + if (x_is_zero && y_is_zero) { + // we know that signs must be the same because we would have caught it + // in case3 if signs were different + // totalOrder(x,y) iff exp_x >= exp_y for negative numbers + // totalOrder(x,y) iff exp_x <= exp_y for positive numbers + if (exp_x == exp_y) { + res = 1; + BID_RETURN (res); + } + res = ((exp_x <= exp_y) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + // if x is zero and y isn't, clearly x has the smaller payload + if (x_is_zero) { + res = ((y.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, and x isn't, clearly y has the smaller payload + if (y_is_zero) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE 6) + // if both components are either bigger or smaller + if (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (((sig_x.w[1] < sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 33, it comes down to the compensated significand + if (exp_x > exp_y) { + // if exp_x is 33 greater than exp_y, it is definitely larger, + // so no need for compensation + if (exp_x - exp_y > 33) { + res = ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + // difference cannot be greater than 10^33 + } + // otherwise adjust the x significand upwards + if (exp_x - exp_y > 19) { + __mul_128x128_to_256 (sig_n_prime256, sig_x, + ten2k128[exp_x - exp_y - 20]); + // the compensated significands are equal (ie "x and y represent the same + // entities") return 1 if (negative && expx > expy) || + // (positive && expx < expy) + if ((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && (sig_n_prime256.w[1] == sig_y.w[1]) + && (sig_n_prime256.w[0] == sig_y.w[0])) { + // the case exp_x == exp_y cannot occur, because all bits must be + // the same - would have been caught if (x == y) + res = ((exp_x <= exp_y) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + // if positive, return 1 if adjusted x is smaller than y + res = (((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && ((sig_n_prime256.w[1] < sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] < + sig_y.w[0]))) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[exp_x - exp_y], sig_x); + // if positive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = ((exp_x <= exp_y) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + res = (((sig_n_prime192.w[2] == 0) + && ((sig_n_prime192.w[1] < sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] < + sig_y.w[0]))) ^ ((x.w[1] & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + // if exp_x is 33 less than exp_y, it is definitely smaller, + // no need for compensation + if (exp_y - exp_x > 33) { + res = ((x.w[1] & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (exp_y - exp_x > 19) { + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, + ten2k128[exp_y - exp_x - 20]); + // if x and y represent the same entities and both are negative + // return true iff exp_x <= exp_y + if ((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && (sig_n_prime256.w[1] == sig_x.w[1]) + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = (exp_x <= exp_y) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // values are not equal, for positive numbers return 1 if x is less than y + // and 0 otherwise + res = (((sig_n_prime256.w[3] != 0) || + // if upper128 bits of compensated y are non-zero, y is bigger + (sig_n_prime256.w[2] != 0) || + // if upper128 bits of compensated y are non-zero, y is bigger + (sig_n_prime256.w[1] > sig_x.w[1]) || + // if compensated y is bigger, y is bigger + (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > + sig_x.w[0])) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[exp_y - exp_x], sig_y); + if ((sig_n_prime192.w[2] == 0) && (sig_n_prime192.w[1] == sig_x.w[1]) + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = (exp_x <= exp_y) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + res = (((sig_n_prime192.w[2] != 0) || + // if upper128 bits of compensated y are non-zero, y is bigger + (sig_n_prime192.w[1] > sig_x.w[1]) || + // if compensated y is bigger, y is bigger + (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > + sig_x.w[0])) ^ ((x.w[1] & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_totalOrderMag (int *pres, UINT128 * px, + UINT128 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; + UINT128 y = *py; +#else +int +bid128_totalOrderMag (UINT128 x, + UINT128 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT128 sig_x, sig_y, pyld_y, pyld_x; + UINT192 sig_n_prime192; + UINT256 sig_n_prime256; + char x_is_zero = 0, y_is_zero = 0; + + BID_SWAP128 (x); + BID_SWAP128 (y); + x.w[1] = x.w[1] & 0x7fffffffffffffffull; + y.w[1] = y.w[1] & 0x7fffffffffffffffull; + + // NaN (CASE 1) + // if x and y are unordered numerically because either operand is NaN + // (1) totalOrder(number, +NaN) is true + // (2) if x and y are both NaN: + // i) signaling < quiet for +NaN + // ii) lesser payload < greater payload for +NaN + // iii) else if bitwise identical (in canonical form), return 1 + if ((x.w[1] & MASK_NAN) == MASK_NAN) { + // x is +NaN + // return false, unless y is +NaN also + if ((y.w[1] & MASK_NAN) != MASK_NAN) { + res = 0; // y is a number, return 0 + BID_RETURN (res); + } else { + // x and y are both +NaN; + pyld_x.w[1] = x.w[1] & 0x00003fffffffffffull; + pyld_x.w[0] = x.w[0]; + pyld_y.w[1] = y.w[1] & 0x00003fffffffffffull; + pyld_y.w[0] = y.w[0]; + if ((pyld_x.w[1] > 0x0000314dc6448d93ull) + || ((pyld_x.w[1] == 0x0000314dc6448d93ull) + && (pyld_x.w[0] > 0x38c15b09ffffffffull))) { + pyld_x.w[1] = 0; + pyld_x.w[0] = 0; + } + if ((pyld_y.w[1] > 0x0000314dc6448d93ull) + || ((pyld_y.w[1] == 0x0000314dc6448d93ull) + && (pyld_y.w[0] > 0x38c15b09ffffffffull))) { + pyld_y.w[1] = 0; + pyld_y.w[0] = 0; + } + // if x and y are both +SNaN or both +QNaN, we have to compare payloads + // this statement evaluates to true if both are SNaN or QNaN + if (! + (((y.w[1] & MASK_SNAN) == MASK_SNAN) ^ + ((x.w[1] & MASK_SNAN) == MASK_SNAN))) { + // it comes down to the payload. we want to return true if x has a + // smaller payload, or if the payloads are equal (canonical forms + // are bitwise identical) + if ((pyld_x.w[1] < pyld_y.w[1]) || + ((pyld_x.w[1] == pyld_y.w[1]) + && (pyld_x.w[0] <= pyld_y.w[0]))) { + res = 1; + } else { + res = 0; + } + BID_RETURN (res); + } else { + // either x = SNaN and y = QNaN or x = QNaN and y = SNaN + res = ((x.w[1] & MASK_SNAN) == MASK_SNAN); + // totalOrder (-QNaN, -SNaN) == 1 + BID_RETURN (res); + } + } + } else if ((y.w[1] & MASK_NAN) == MASK_NAN) { + // x is certainly not NAN in this case. + // return true because y is positive + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE 2) + // if all the bits are the same, the numbers are equal. + if ((x.w[1] == y.w[1]) && (x.w[0] == y.w[0])) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE 3) + if ((x.w[1] & MASK_INF) == MASK_INF) { + // x is positive infinity, only return 1 if y is positive infinity as well + res = ((y.w[1] & MASK_INF) == MASK_INF); + BID_RETURN (res); + // (we know y has same sign as x) + } else if ((y.w[1] & MASK_INF) == MASK_INF) { + // x is finite, so: + // since y is +inf, x> 49) & 0x000000000003fffull; + + // CHECK IF x IS CANONICAL + // 9999999999999999999999999999999999 (decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. + if ((((sig_x.w[1] > 0x0001ed09bead87c0ull) || + ((sig_x.w[1] == 0x0001ed09bead87c0ull) && + (sig_x.w[0] > 0x378d8e63ffffffffull))) && + ((x.w[1] & 0x6000000000000000ull) != 0x6000000000000000ull)) || + ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) || + ((sig_x.w[1] == 0) && (sig_x.w[0] == 0))) { + x_is_zero = 1; + // check for the case where the exponent is shifted right by 2 bits! + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + exp_x = (x.w[1] >> 47) & 0x000000000003fffull; + } + } + // CONVERT y + exp_y = (y.w[1] >> 49) & 0x0000000000003fffull; + sig_y.w[1] = y.w[1] & 0x0001ffffffffffffull; + sig_y.w[0] = y.w[0]; + + // CHECK IF y IS CANONICAL + // 9999999999999999999999999999999999(decimal) = + // 1ed09_bead87c0_378d8e63_ffffffff(hexadecimal) + // [0, 10^34) is the 754r supported canonical range. + // If the value exceeds that, it is interpreted as 0. + if ((((sig_y.w[1] > 0x0001ed09bead87c0ull) || + ((sig_y.w[1] == 0x0001ed09bead87c0ull) && + (sig_y.w[0] > 0x378d8e63ffffffffull))) && + ((y.w[1] & 0x6000000000000000ull) != 0x6000000000000000ull)) || + ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) || + ((sig_y.w[1] == 0) && (sig_y.w[0] == 0))) { + y_is_zero = 1; + // check for the case where the exponent is shifted right by 2 bits! + if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { + exp_y = (y.w[1] >> 47) & 0x000000000003fffull; + } + } + // ZERO (CASE 4) + if (x_is_zero && y_is_zero) { + // we know that signs must be the same because we would have caught it + // in case3 if signs were different + // totalOrder(x,y) iff exp_x <= exp_y for positive numbers + if (exp_x == exp_y) { + res = 1; + BID_RETURN (res); + } + res = (exp_x <= exp_y); + BID_RETURN (res); + } + // if x is zero and y isn't, clearly x has the smaller payload + if (x_is_zero) { + res = 1; + BID_RETURN (res); + } + // if y is zero, and x isn't, clearly y has the smaller payload + if (y_is_zero) { + res = 0; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE 5) + // if both components are either bigger or smaller + if (((sig_x.w[1] > sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] > sig_y.w[0])) + && exp_x >= exp_y) { + res = 0; + BID_RETURN (res); + } + if (((sig_x.w[1] < sig_y.w[1]) + || (sig_x.w[1] == sig_y.w[1] && sig_x.w[0] < sig_y.w[0])) + && exp_x <= exp_y) { + res = 1; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 33, it comes down to the compensated significand + if (exp_x > exp_y) { + // if exp_x is 33 greater than exp_y, it is definitely larger, + // so no need for compensation + if (exp_x - exp_y > 33) { + res = 0; // difference cannot be greater than 10^33 + BID_RETURN (res); + } + // otherwise adjust the x significand upwards + if (exp_x - exp_y > 19) { + __mul_128x128_to_256 (sig_n_prime256, sig_x, + ten2k128[exp_x - exp_y - 20]); + // the compensated significands are equal (ie "x and y represent the same + // entities") return 1 if (negative && expx > expy) || + // (positive && expx < expy) + if ((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && (sig_n_prime256.w[1] == sig_y.w[1]) + && (sig_n_prime256.w[0] == sig_y.w[0])) { + // the case (exp_x == exp_y) cannot occur, because all bits must be + // the same - would have been caught if (x == y) + res = (exp_x <= exp_y); + BID_RETURN (res); + } + // since positive, return 1 if adjusted x is smaller than y + res = ((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && ((sig_n_prime256.w[1] < sig_y.w[1]) + || (sig_n_prime256.w[1] == sig_y.w[1] + && sig_n_prime256.w[0] < sig_y.w[0]))); + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[exp_x - exp_y], sig_x); + // if positive, return whichever significand is larger + // (converse if negative) + if ((sig_n_prime192.w[2] == 0) && sig_n_prime192.w[1] == sig_y.w[1] + && (sig_n_prime192.w[0] == sig_y.w[0])) { + res = (exp_x <= exp_y); + BID_RETURN (res); + } + res = ((sig_n_prime192.w[2] == 0) + && ((sig_n_prime192.w[1] < sig_y.w[1]) + || (sig_n_prime192.w[1] == sig_y.w[1] + && sig_n_prime192.w[0] < sig_y.w[0]))); + BID_RETURN (res); + } + // if exp_x is 33 less than exp_y, it is definitely smaller, + // no need for compensation + if (exp_y - exp_x > 33) { + res = 1; + BID_RETURN (res); + } + if (exp_y - exp_x > 19) { + // adjust the y significand upwards + __mul_128x128_to_256 (sig_n_prime256, sig_y, + ten2k128[exp_y - exp_x - 20]); + if ((sig_n_prime256.w[3] == 0) && (sig_n_prime256.w[2] == 0) + && (sig_n_prime256.w[1] == sig_x.w[1]) + && (sig_n_prime256.w[0] == sig_x.w[0])) { + res = (exp_x <= exp_y); + BID_RETURN (res); + } + // values are not equal, for positive numbers return 1 if x is less than y + // and 0 otherwise + res = ((sig_n_prime256.w[3] != 0) || + // if upper128 bits of compensated y are non-zero, y is bigger + (sig_n_prime256.w[2] != 0) || + // if upper128 bits of compensated y are non-zero, y is bigger + (sig_n_prime256.w[1] > sig_x.w[1]) || + // if compensated y is bigger, y is bigger + (sig_n_prime256.w[1] == sig_x.w[1] + && sig_n_prime256.w[0] > sig_x.w[0])); + BID_RETURN (res); + } + __mul_64x128_to_192 (sig_n_prime192, ten2k64[exp_y - exp_x], sig_y); + if ((sig_n_prime192.w[2] == 0) && (sig_n_prime192.w[1] == sig_x.w[1]) + && (sig_n_prime192.w[0] == sig_x.w[0])) { + res = (exp_x <= exp_y); + BID_RETURN (res); + } + res = ((sig_n_prime192.w[2] != 0) || + // if upper128 bits of compensated y are non-zero, y is bigger + (sig_n_prime192.w[1] > sig_x.w[1]) || + // if compensated y is bigger, y is bigger + (sig_n_prime192.w[1] == sig_x.w[1] + && sig_n_prime192.w[0] > sig_x.w[0])); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_radix (int *pres, UINT128 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +int +bid128_radix (UINT128 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + if (x.w[LOW_128W]) // dummy test + res = 10; + else + res = 10; + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_quantize.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_quantize.c new file mode 100644 index 0000000000..c415bf67de --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_quantize.c @@ -0,0 +1,274 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +BID128_FUNCTION_ARG2 (bid128_quantize, x, y) + + UINT256 CT; + UINT128 CX, CY, T, CX2, CR, Stemp, res, REM_H, C2N; + UINT64 sign_x, sign_y, remainder_h, carry, CY64, valid_x; + int_float tempx; + int exponent_x, exponent_y, digits_x, extra_digits, amount; + int expon_diff, total_digits, bin_expon_cx, rmode, status; + +valid_x = unpack_BID128_value (&sign_x, &exponent_x, &CX, x); + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_y, &exponent_y, &CY, y)) { + // y is Inf. or NaN +#ifdef SET_STATUS_FLAGS +if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + + // test if y is NaN +if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) { + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); + } +#endif + if ((x.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull) { + res.w[1] = CY.w[1] & QUIET_MASK64; + res.w[0] = CY.w[0]; + } else { + res.w[1] = CX.w[1] & QUIET_MASK64; + res.w[0] = CX.w[0]; + } + BID_RETURN (res); +} + // y is Infinity? +if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if x is not Inf. + if (((x.w[1] & 0x7c00000000000000ull) < 0x7800000000000000ull)) { + // return NaN +#ifdef SET_STATUS_FLAGS + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } else + if (((x.w[1] & 0x7c00000000000000ull) <= 0x7800000000000000ull)) { + res.w[1] = CX.w[1] & QUIET_MASK64; + res.w[0] = CX.w[0]; + BID_RETURN (res); + } +} + +} + +if (!valid_x) { + // test if x is NaN or Inf + if ((x.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull) { +#ifdef SET_STATUS_FLAGS + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } else if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) { +#ifdef SET_STATUS_FLAGS + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + } + res.w[1] = CX.w[1] & QUIET_MASK64; + res.w[0] = CX.w[0]; + BID_RETURN (res); + } + if (!CX.w[1] && !CX.w[0]) { + get_BID128_very_fast (&res, sign_x, exponent_y, CX); + BID_RETURN (res); + } +} + // get number of decimal digits in coefficient_x +if (CX.w[1]) { + tempx.d = (float) CX.w[1]; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f + 64; +} else { + tempx.d = (float) CX.w[0]; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; +} + +digits_x = estimate_decimal_digits[bin_expon_cx]; +if (CX.w[1] > power10_table_128[digits_x].w[1] + || (CX.w[1] == power10_table_128[digits_x].w[1] + && CX.w[0] >= power10_table_128[digits_x].w[0])) + digits_x++; + +expon_diff = exponent_x - exponent_y; +total_digits = digits_x + expon_diff; + +if ((UINT32) total_digits <= 34) { + if (expon_diff >= 0) { + T = power10_table_128[expon_diff]; + __mul_128x128_low (CX2, T, CX); + get_BID128_very_fast (&res, sign_x, exponent_y, CX2); + BID_RETURN (res); + } +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + // must round off -expon_diff digits + extra_digits = -expon_diff; + __add_128_128 (CX, CX, round_const_table_128[rmode][extra_digits]); + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_to_256 (CT, CX, reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + CX2.w[0] = CT.w[2]; + CX2.w[1] = CT.w[3]; + if (amount >= 64) { + CR.w[1] = 0; + CR.w[0] = CX2.w[1] >> (amount - 64); + } else { + __shr_128 (CR, CX2, amount); + } + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rnd_mode == 0) +#endif + if (CR.w[0] & 1) { + // check whether fractional part of initial_P/10^extra_digits is + // exactly .5 this is the same as fractional part of + // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero + + // get remainder + if (amount >= 64) { + remainder_h = CX2.w[0] | (CX2.w[1] << (128 - amount)); + } else + remainder_h = CX2.w[0] << (64 - amount); + + // test whether fractional part is 0 + if (!remainder_h + && (CT.w[1] < reciprocals10_128[extra_digits].w[1] + || (CT.w[1] == reciprocals10_128[extra_digits].w[1] + && CT.w[0] < reciprocals10_128[extra_digits].w[0]))) { + CR.w[0]--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status = INEXACT_EXCEPTION; + + // get remainder + if (amount >= 64) { + REM_H.w[1] = (CX2.w[1] << (128 - amount)); + REM_H.w[0] = CX2.w[0]; + } else { + REM_H.w[1] = CX2.w[0] << (64 - amount); + REM_H.w[0] = 0; + } + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (REM_H.w[1] == 0x8000000000000000ull && !REM_H.w[0] + && (CT.w[1] < reciprocals10_128[extra_digits].w[1] + || (CT.w[1] == reciprocals10_128[extra_digits].w[1] + && CT.w[0] < reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!(REM_H.w[1] | REM_H.w[0]) + && (CT.w[1] < reciprocals10_128[extra_digits].w[1] + || (CT.w[1] == reciprocals10_128[extra_digits].w[1] + && CT.w[0] < reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY64, CT.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, CT.w[1], + reciprocals10_128[extra_digits].w[1], CY64); + if (amount < 64) { + C2N.w[1] = 0; + C2N.w[0] = ((UINT64) 1) << amount; + REM_H.w[0] = REM_H.w[1] >> (64 - amount); + REM_H.w[1] = 0; + } else { + C2N.w[1] = ((UINT64) 1) << (amount - 64); + C2N.w[0] = 0; + REM_H.w[1] >>= (128 - amount); + } + REM_H.w[0] += carry; + if (REM_H.w[0] < carry) + REM_H.w[1]++; + if (__unsigned_compare_ge_128 (REM_H, C2N)) + status = EXACT_STATUS; + } + + __set_status_flags (pfpsf, status); + +#endif + get_BID128_very_fast (&res, sign_x, exponent_y, CR); + BID_RETURN (res); +} +if (total_digits < 0) { + CR.w[1] = CR.w[0] = 0; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + if (rmode == ROUNDING_UP) + CR.w[0] = 1; +#endif +#endif +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + get_BID128_very_fast (&res, sign_x, exponent_y, CR); + BID_RETURN (res); +} + // else more than 34 digits in coefficient +#ifdef SET_STATUS_FLAGS +__set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif +res.w[1] = 0x7c00000000000000ull; +res.w[0] = 0; +BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_rem.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_rem.c new file mode 100644 index 0000000000..e095e930e6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_rem.c @@ -0,0 +1,217 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_div_macros.h" + + +BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE (UINT128, bid128_rem, x, y) + + UINT256 P256; + UINT128 CX, CY, CX2, CQ, CR, T, CXS, P128, res; + UINT64 sign_x, sign_y, valid_y; + SINT64 D; + int_float f64, fx; + int exponent_x, exponent_y, diff_expon, bin_expon_cx, scale, + scale0; + + // unpack arguments, check for NaN or Infinity + +valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y); + +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { +#ifdef SET_STATUS_FLAGS +if ((y.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // test if x is NaN +if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = CX.w[1] & QUIET_MASK64; + res.w[0] = CX.w[0]; + BID_RETURN (res); +} + // x is Infinity? +if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + +} + // x is 0 +if ((!CY.w[1]) && (!CY.w[0])) { +#ifdef SET_STATUS_FLAGS + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); +} +if (valid_y || ((y.w[1] & NAN_MASK64) == INFINITY_MASK64)) { + // return 0 + if ((exponent_x > exponent_y) + && ((y.w[1] & NAN_MASK64) != INFINITY_MASK64)) + exponent_x = exponent_y; + + res.w[1] = sign_x | (((UINT64) exponent_x) << 49); + res.w[0] = 0; + BID_RETURN (res); +} +} +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((y.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = CY.w[1] & QUIET_MASK64; + res.w[0] = CY.w[0]; + BID_RETURN (res); + } + // y is Infinity? + if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return x + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); + } + // y is 0 +#ifdef SET_STATUS_FLAGS + // set status flags + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); +} + +diff_expon = exponent_x - exponent_y; + +if (diff_expon <= 0) { + diff_expon = -diff_expon; + + if (diff_expon > 34) { + // |x|<|y| in this case + res = x; + BID_RETURN (res); + } + // set exponent of y to exponent_x, scale coefficient_y + T = power10_table_128[diff_expon]; + __mul_128x128_to_256 (P256, CY, T); + + if (P256.w[2] || P256.w[3]) { + // |x|<|y| in this case + res = x; + BID_RETURN (res); + } + + CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63); + CX2.w[0] = CX.w[0] << 1; + if (__unsigned_compare_ge_128 (P256, CX2)) { + // |x|<|y| in this case + res = x; + BID_RETURN (res); + } + + P128.w[0] = P256.w[0]; + P128.w[1] = P256.w[1]; + __div_128_by_128 (&CQ, &CR, CX, P128); + + CX2.w[1] = (CR.w[1] << 1) | (CR.w[0] >> 63); + CX2.w[0] = CR.w[0] << 1; + if ((__unsigned_compare_gt_128 (CX2, P256)) + || (CX2.w[1] == P256.w[1] && CX2.w[0] == P256.w[0] + && (CQ.w[0] & 1))) { + __sub_128_128 (CR, P256, CR); + sign_x ^= 0x8000000000000000ull; + } + + get_BID128_very_fast (&res, sign_x, exponent_x, CR); + BID_RETURN (res); +} + // 2^64 +f64.i = 0x5f800000; + +scale0 = 38; +if (!CY.w[1]) + scale0 = 34; + +while (diff_expon > 0) { + // get number of digits in CX and scale=38-digits + // fx ~ CX + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; + scale = scale0 - estimate_decimal_digits[bin_expon_cx]; + // scale = 38-estimate_decimal_digits[bin_expon_cx]; + D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; + if (D > 0 + || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) + scale--; + + if (diff_expon >= scale) + diff_expon -= scale; + else { + scale = diff_expon; + diff_expon = 0; + } + + T = power10_table_128[scale]; + __mul_128x128_low (CXS, CX, T); + + __div_128_by_128 (&CQ, &CX, CXS, CY); + + // check for remainder == 0 + if (!CX.w[1] && !CX.w[0]) { + get_BID128_very_fast (&res, sign_x, exponent_y, CX); + BID_RETURN (res); + } +} + +CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63); +CX2.w[0] = CX.w[0] << 1; +if ((__unsigned_compare_gt_128 (CX2, CY)) + || (CX2.w[1] == CY.w[1] && CX2.w[0] == CY.w[0] && (CQ.w[0] & 1))) { + __sub_128_128 (CX, CY, CX); + sign_x ^= 0x8000000000000000ull; +} + +get_BID128_very_fast (&res, sign_x, exponent_y, CX); +BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_round_integral.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_round_integral.c new file mode 100644 index 0000000000..2d4980f76c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_round_integral.c @@ -0,0 +1,1951 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES + +#include "bid_internal.h" + +/***************************************************************************** + * BID128_round_integral_exact + ****************************************************************************/ + +BID128_FUNCTION_ARG1 (bid128_round_integral_exact, x) + + UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} + }; +UINT64 x_sign; +UINT64 x_exp; +int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) +UINT64 tmp64; +BID_UI64DOUBLE tmp1; +unsigned int x_nr_bits; +int q, ind, shift; +UINT128 C1; +UINT256 fstar; +UINT256 P256; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + BID_RETURN (res) + } else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + // return +inf + res.w[1] = 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + // return -inf + res.w[1] = 0xf800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); + } +} + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for non-canonical values (treated as zero) +if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low +} else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } +} + + // test for input equal to zero +if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + // return 0 preserving the sign bit and the preferred exponent + // of MAX(Q(x), 0) + if (x_exp <= (0x1820ull << 49)) { + res.w[1] = (x.w[1] & 0x8000000000000000ull) | 0x3040000000000000ull; + } else { + res.w[1] = x_sign | x_exp; + } + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // x is not special and is not zero + +switch (rnd_mode) { +case ROUNDING_TO_NEAREST: +case ROUNDING_TIES_AWAY: + // if (exp <= -(p+1)) return 0.0 + if (x_exp <= 0x2ffa000000000000ull) { // 0x2ffa000000000000ull == -35 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_DOWN: + // if (exp <= -p) return -1.0 or +0.0 + if (x_exp <= 0x2ffc000000000000ull) { // 0x2ffa000000000000ull == -34 + if (x_sign) { + // if negative, return negative 1, because we know coefficient + // is non-zero (would have been caught above) + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } else { + // if positive, return positive 0, because we know coefficient is + // non-zero (would have been caught above) + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_UP: + // if (exp <= -p) return -0.0 or +1.0 + if (x_exp <= 0x2ffc000000000000ull) { // 0x2ffc000000000000ull == -34 + if (x_sign) { + // if negative, return negative 0, because we know the coefficient + // is non-zero (would have been caught above) + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { + // if positive, return positive 1, because we know coefficient is + // non-zero (would have been caught above) + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_TO_ZERO: + // if (exp <= -p) return -0.0 or +0.0 + if (x_exp <= 0x2ffc000000000000ull) { // 0x2ffc000000000000ull == -34 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +} + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x +if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } +} else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); +} + +q = nr_digits[x_nr_bits - 1].digits; +if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi || + (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; +} +exp = (x_exp >> 49) - 6176; +if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); +} + // exp < 0 +switch (rnd_mode) { +case ROUNDING_TO_NEAREST: + if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + // determine the value of res and fstar + + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + // Note: we are going to use ten2mk128[] instead of ten2mk128trunc[] + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + // redundant shift = shiftright128[ind - 1]; // shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* < 10^(-x) <=> midpoint + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + // if 0 < fstar < 10^(-x), subtract 1 if odd (for rounding to even) + if ((res.w[0] & 0x0000000000000001ull) && // is result odd? + ((fstar.w[1] < (ten2mk128[ind - 1].w[1])) + || ((fstar.w[1] == ten2mk128[ind - 1].w[1]) + && (fstar.w[0] < ten2mk128[ind - 1].w[0])))) { + // subract 1 to make even + if (res.w[0]-- == 0) { + res.w[1]--; + } + } + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128[ind - 1].w[1] || + (tmp64 == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* < 10^(-x) <=> midpoint + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((res.w[0] & 0x0000000000000001ull) && // is result odd? + fstar.w[2] == 0 && (fstar.w[1] < ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] < ten2mk128[ind - 1].w[0]))) { + // subract 1 to make even + if (res.w[0]-- == 0) { + res.w[1]--; + } + } + if (fstar.w[2] > onehalf128[ind - 1] || + (fstar.w[2] == onehalf128[ind - 1] + && (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* < 10^(-x) <=> midpoint + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((res.w[0] & 0x0000000000000001ull) && // is result odd? + fstar.w[3] == 0 && fstar.w[2] == 0 && + (fstar.w[1] < ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] < ten2mk128[ind - 1].w[0]))) { + // subract 1 to make even + if (res.w[0]-- == 0) { + res.w[1]--; + } + } + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); + } else { // if ((q + exp) < 0) <=> q < -exp + // the result is +0 or -0 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_TIES_AWAY: + if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // determine also the inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + // Note: we are going to use ten2mk128[] instead of ten2mk128trunc[] + // shift right C* by Ex-128 = shiftright128[ind] + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + // redundant shift = shiftright128[ind - 1]; // shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128[ind - 1].w[1] || + (tmp64 == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0]))) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + if (fstar.w[2] > onehalf128[ind - 1] || + (fstar.w[2] == onehalf128[ind - 1] + && (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + // if the result was a midpoint, it was already rounded away from zero + res.w[1] |= x_sign | 0x3040000000000000ull; + BID_RETURN (res); + } else { // if ((q + exp) < 0) <=> q < -exp + // the result is +0 or -0 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_DOWN: + if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // (number of digits to be chopped off) + // chop off ind digits from the lower part of C1 + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + // FOR ROUND_TO_ZERO, WE DON'T NEED TO ADD 1/2 ULP + // FOR ROUND_TO_POSITIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF POSITIVE + // FOR ROUND_TO_NEGATIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF NEGATIVE + // tmp64 = C1.w[0]; + // if (ind <= 19) { + // C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + // } else { + // C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + // C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + // } + // if (C1.w[0] < tmp64) C1.w[1]++; + // if carry-out from C1.w[0], increment C1.w[1] + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + // redundant fstar.w[1] = P256.w[1]; + // redundant fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((P256.w[1] > ten2mk128[ind - 1].w[1]) + || (P256.w[1] == ten2mk128[ind - 1].w[1] + && (P256.w[0] >= ten2mk128[ind - 1].w[0]))) { + *pfpsf |= INEXACT_EXCEPTION; + // if positive, the truncated value is already the correct result + if (x_sign) { // if negative + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + *pfpsf |= INEXACT_EXCEPTION; + // if positive, the truncated value is already the correct result + if (x_sign) { // if negative + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + *pfpsf |= INEXACT_EXCEPTION; + // if positive, the truncated value is already the correct result + if (x_sign) { // if negative + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 + if (x_sign) { // negative rounds down to -1.0 + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } else { // positive rpunds down to +0.0 + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_UP: + if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // (number of digits to be chopped off) + // chop off ind digits from the lower part of C1 + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + // FOR ROUND_TO_ZERO, WE DON'T NEED TO ADD 1/2 ULP + // FOR ROUND_TO_POSITIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF POSITIVE + // FOR ROUND_TO_NEGATIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF NEGATIVE + // tmp64 = C1.w[0]; + // if (ind <= 19) { + // C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + // } else { + // C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + // C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + // } + // if (C1.w[0] < tmp64) C1.w[1]++; + // if carry-out from C1.w[0], increment C1.w[1] + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + // redundant fstar.w[1] = P256.w[1]; + // redundant fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((P256.w[1] > ten2mk128[ind - 1].w[1]) + || (P256.w[1] == ten2mk128[ind - 1].w[1] + && (P256.w[0] >= ten2mk128[ind - 1].w[0]))) { + *pfpsf |= INEXACT_EXCEPTION; + // if negative, the truncated value is already the correct result + if (!x_sign) { // if positive + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + *pfpsf |= INEXACT_EXCEPTION; + // if negative, the truncated value is already the correct result + if (!x_sign) { // if positive + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + *pfpsf |= INEXACT_EXCEPTION; + // if negative, the truncated value is already the correct result + if (!x_sign) { // if positive + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 + if (x_sign) { // negative rounds up to -0.0 + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // positive rpunds up to +1.0 + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +case ROUNDING_TO_ZERO: + if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // (number of digits to be chopped off) + // chop off ind digits from the lower part of C1 + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + // FOR ROUND_TO_ZERO, WE DON'T NEED TO ADD 1/2 ULP + // FOR ROUND_TO_POSITIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF POSITIVE + // FOR ROUND_TO_NEGATIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF NEGATIVE + //tmp64 = C1.w[0]; + // if (ind <= 19) { + // C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + // } else { + // C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + // C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + // } + // if (C1.w[0] < tmp64) C1.w[1]++; + // if carry-out from C1.w[0], increment C1.w[1] + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + // redundant fstar.w[1] = P256.w[1]; + // redundant fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((P256.w[1] > ten2mk128[ind - 1].w[1]) + || (P256.w[1] == ten2mk128[ind - 1].w[1] + && (P256.w[0] >= ten2mk128[ind - 1].w[0]))) { + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + *pfpsf |= INEXACT_EXCEPTION; + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 the result is +0 or -0 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_round_integral_nearest_even + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND (bid128_round_integral_nearest_even, x) + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1; + // UINT128 res is C* at first - represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + BID_RETURN (res) +} else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + // return +inf + res.w[1] = 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + // return -inf + res.w[1] = 0xf800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} +} + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for non-canonical values (treated as zero) +if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low +} else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } +} + + // test for input equal to zero +if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + // return 0 preserving the sign bit and the preferred exponent + // of MAX(Q(x), 0) + if (x_exp <= (0x1820ull << 49)) { + res.w[1] = (x.w[1] & 0x8000000000000000ull) | 0x3040000000000000ull; + } else { + res.w[1] = x_sign | x_exp; + } + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // x is not special and is not zero + + // if (exp <= -(p+1)) return 0 +if (x_exp <= 0x2ffa000000000000ull) { // 0x2ffa000000000000ull == -35 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // q = nr. of decimal digits in x + // determine first the nr. of bits in x +if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } +} else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); +} + +q = nr_digits[x_nr_bits - 1].digits; +if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; +} +exp = (x_exp >> 49) - 6176; +if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); +} else if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + // determine the value of res and fstar + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + // redundant shift = shiftright128[ind - 1]; // shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + // redundant fstar.w[1] = P256.w[1]; + // redundant fstar.w[0] = P256.w[0]; + // fraction f* < 10^(-x) <=> midpoint + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + // if 0 < fstar < 10^(-x), subtract 1 if odd (for rounding to even) + if ((res.w[0] & 0x0000000000000001ull) && // is result odd? + ((P256.w[1] < (ten2mk128[ind - 1].w[1])) + || ((P256.w[1] == ten2mk128[ind - 1].w[1]) + && (P256.w[0] < ten2mk128[ind - 1].w[0])))) { + // subract 1 to make even + if (res.w[0]-- == 0) { + res.w[1]--; + } + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* < 10^(-x) <=> midpoint + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((res.w[0] & 0x0000000000000001ull) && // is result odd? + fstar.w[2] == 0 && (fstar.w[1] < ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] < ten2mk128[ind - 1].w[0]))) { + // subract 1 to make even + if (res.w[0]-- == 0) { + res.w[1]--; + } + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* < 10^(-x) <=> midpoint + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((res.w[0] & 0x0000000000000001ull) && // is result odd? + fstar.w[3] == 0 && fstar.w[2] == 0 + && (fstar.w[1] < ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] < ten2mk128[ind - 1].w[0]))) { + // subract 1 to make even + if (res.w[0]-- == 0) { + res.w[1]--; + } + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); +} else { // if ((q + exp) < 0) <=> q < -exp + // the result is +0 or -0 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} +} + +/***************************************************************************** + * BID128_round_integral_negative + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND (bid128_round_integral_negative, x) + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo + // (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1; + // UINT128 res is C* at first - represents up to 34 decimal digits ~ + // 113 bits + UINT256 fstar; + UINT256 P256; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + BID_RETURN (res) +} else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + // return +inf + res.w[1] = 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + // return -inf + res.w[1] = 0xf800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} +} + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for non-canonical values (treated as zero) +if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low +} else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } +} + + // test for input equal to zero +if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + // return 0 preserving the sign bit and the preferred exponent + // of MAX(Q(x), 0) + if (x_exp <= (0x1820ull << 49)) { + res.w[1] = (x.w[1] & 0x8000000000000000ull) | 0x3040000000000000ull; + } else { + res.w[1] = x_sign | x_exp; + } + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // x is not special and is not zero + + // if (exp <= -p) return -1.0 or +0.0 +if (x_exp <= 0x2ffc000000000000ull) { // 0x2ffc000000000000ull == -34 + if (x_sign) { + // if negative, return negative 1, because we know the coefficient + // is non-zero (would have been caught above) + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } else { + // if positive, return positive 0, because we know coefficient is + // non-zero (would have been caught above) + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} + // q = nr. of decimal digits in x + // determine first the nr. of bits in x +if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } +} else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); +} + +q = nr_digits[x_nr_bits - 1].digits; +if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi || + (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; +} +exp = (x_exp >> 49) - 6176; +if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); +} else if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // (number of digits to be chopped off) + // chop off ind digits from the lower part of C1 + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + // FOR ROUND_TO_ZERO, WE DON'T NEED TO ADD 1/2 ULP + // FOR ROUND_TO_POSITIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF POSITIVE + // FOR ROUND_TO_NEGATIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF NEGATIVE + //tmp64 = C1.w[0]; + // if (ind <= 19) { + // C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + // } else { + // C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + // C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + // } + // if (C1.w[0] < tmp64) C1.w[1]++; + // if carry-out from C1.w[0], increment C1.w[1] + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // if positive, the truncated value is already the correct result + if (x_sign) { // if negative + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + // redundant fstar.w[1] = P256.w[1]; + // redundant fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((P256.w[1] > ten2mk128[ind - 1].w[1]) + || (P256.w[1] == ten2mk128[ind - 1].w[1] + && (P256.w[0] >= ten2mk128[ind - 1].w[0]))) { + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // if positive, the truncated value is already the correct result + if (x_sign) { // if negative + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + // if positive, the truncated value is already the correct result + if (x_sign) { // if negative + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); +} else { // if exp < 0 and q + exp <= 0 + if (x_sign) { // negative rounds down to -1.0 + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } else { // positive rpunds down to +0.0 + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} +} + +/***************************************************************************** + * BID128_round_integral_positive + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND (bid128_round_integral_positive, x) + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo + // (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1; + // UINT128 res is C* at first - represents up to 34 decimal digits ~ + // 113 bits + UINT256 fstar; + UINT256 P256; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + BID_RETURN (res) +} else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + // return +inf + res.w[1] = 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + // return -inf + res.w[1] = 0xf800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} +} + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for non-canonical values (treated as zero) +if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low +} else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } +} + + // test for input equal to zero +if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + // return 0 preserving the sign bit and the preferred exponent + // of MAX(Q(x), 0) + if (x_exp <= (0x1820ull << 49)) { + res.w[1] = (x.w[1] & 0x8000000000000000ull) | 0x3040000000000000ull; + } else { + res.w[1] = x_sign | x_exp; + } + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // x is not special and is not zero + + // if (exp <= -p) return -0.0 or +1.0 +if (x_exp <= 0x2ffc000000000000ull) { // 0x2ffc000000000000ull == -34 + if (x_sign) { + // if negative, return negative 0, because we know the coefficient + // is non-zero (would have been caught above) + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { + // if positive, return positive 1, because we know coefficient is + // non-zero (would have been caught above) + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + BID_RETURN (res); +} + // q = nr. of decimal digits in x + // determine first the nr. of bits in x +if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } +} else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); +} + +q = nr_digits[x_nr_bits - 1].digits; +if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi || + (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; +} +exp = (x_exp >> 49) - 6176; +if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); +} else if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // (number of digits to be chopped off) + // chop off ind digits from the lower part of C1 + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + // FOR ROUND_TO_ZERO, WE DON'T NEED TO ADD 1/2 ULP + // FOR ROUND_TO_POSITIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF POSITIVE + // FOR ROUND_TO_NEGATIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF NEGATIVE + // tmp64 = C1.w[0]; + // if (ind <= 19) { + // C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + // } else { + // C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + // C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + // } + // if (C1.w[0] < tmp64) C1.w[1]++; + // if carry-out from C1.w[0], increment C1.w[1] + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + // if negative, the truncated value is already the correct result + if (!x_sign) { // if positive + // redundant fstar.w[3] = 0; + // redundant fstar.w[2] = 0; + // redundant fstar.w[1] = P256.w[1]; + // redundant fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if ((P256.w[1] > ten2mk128[ind - 1].w[1]) + || (P256.w[1] == ten2mk128[ind - 1].w[1] + && (P256.w[0] >= ten2mk128[ind - 1].w[0]))) { + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + // if negative, the truncated value is already the correct result + if (!x_sign) { // if positive + // redundant fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[2] || fstar.w[1] > ten2mk128[ind - 1].w[1] || + (fstar.w[1] == ten2mk128[ind - 1].w[1] && + fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + // if negative, the truncated value is already the correct result + if (!x_sign) { // if positive + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + // fraction f* > 10^(-x) <=> inexact + // f* is in the right position to be compared with + // 10^(-x) from ten2mk128[] + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128[ind - 1].w[1] + || (fstar.w[1] == ten2mk128[ind - 1].w[1] + && fstar.w[0] >= ten2mk128[ind - 1].w[0])) { + if (++res.w[0] == 0) { + res.w[1]++; + } + } + } + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); +} else { // if exp < 0 and q + exp <= 0 + if (x_sign) { // negative rounds up to -0.0 + res.w[1] = 0xb040000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // positive rpunds up to +1.0 + res.w[1] = 0x3040000000000000ull; + res.w[0] = 0x0000000000000001ull; + } + BID_RETURN (res); +} +} + +/***************************************************************************** + * BID128_round_integral_zero + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND (bid128_round_integral_zero, x) + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo + // (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1; + // UINT128 res is C* at first - represents up to 34 decimal digits ~ + // 113 bits + UINT256 P256; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + BID_RETURN (res) +} else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + // return +inf + res.w[1] = 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + // return -inf + res.w[1] = 0xf800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} +} + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for non-canonical values (treated as zero) +if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low +} else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } +} + + // test for input equal to zero +if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + // return 0 preserving the sign bit and the preferred exponent + // of MAX(Q(x), 0) + if (x_exp <= (0x1820ull << 49)) { + res.w[1] = (x.w[1] & 0x8000000000000000ull) | 0x3040000000000000ull; + } else { + res.w[1] = x_sign | x_exp; + } + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // x is not special and is not zero + + // if (exp <= -p) return -0.0 or +0.0 +if (x_exp <= 0x2ffc000000000000ull) { // 0x2ffc000000000000ull == -34 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // q = nr. of decimal digits in x + // determine first the nr. of bits in x +if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } +} else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); +} + +q = nr_digits[x_nr_bits - 1].digits; +if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi || + (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; +} +exp = (x_exp >> 49) - 6176; +if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); +} else if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // (number of digits to be chopped off) + // chop off ind digits from the lower part of C1 + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + // FOR ROUND_TO_ZERO, WE DON'T NEED TO ADD 1/2 ULP + // FOR ROUND_TO_POSITIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF POSITIVE + // FOR ROUND_TO_NEGATIVE_INFINITY, WE TRUNCATE, THEN ADD 1 IF NEGATIVE + //tmp64 = C1.w[0]; + // if (ind <= 19) { + // C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + // } else { + // C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + // C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + // } + // if (C1.w[0] < tmp64) C1.w[1]++; + // if carry-out from C1.w[0], increment C1.w[1] + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[1] = (P256.w[3] >> shift); + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1] - 64; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = P256.w[3] >> shift; + } + res.w[1] = x_sign | 0x3040000000000000ull | res.w[1]; + BID_RETURN (res); +} else { // if exp < 0 and q + exp <= 0 the result is +0 or -0 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} +} + +/***************************************************************************** + * BID128_round_integral_nearest_away + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND (bid128_round_integral_nearest_away, x) + + UINT128 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo + // (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1; + // UINT128 res is C* at first - represents up to 34 decimal digits ~ + // 113 bits + // UINT256 fstar; + UINT256 P256; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, then res = Q (x) + // check first for non-canonical NaN payload + if (((x.w[1] & 0x00003fffffffffffull) > 0x0000314dc6448d93ull) || + (((x.w[1] & 0x00003fffffffffffull) == 0x0000314dc6448d93ull) && + (x.w[0] > 0x38c15b09ffffffffull))) { + x.w[1] = x.w[1] & 0xffffc00000000000ull; + x.w[0] = 0x0ull; + } + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out also G[6]-G[16] + res.w[0] = x.w[0]; + } else { // x is QNaN + // return x + res.w[1] = x.w[1] & 0xfc003fffffffffffull; // clear out G[6]-G[16] + res.w[0] = x.w[0]; + } + BID_RETURN (res) +} else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + // return +inf + res.w[1] = 0x7800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } else { // x is -inf + // return -inf + res.w[1] = 0xf800000000000000ull; + res.w[0] = 0x0000000000000000ull; + } + BID_RETURN (res); +} +} + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for non-canonical values (treated as zero) +if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 + // non-canonical + x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits + C1.w[1] = 0; // significand high + C1.w[0] = 0; // significand low +} else { // G0_G1 != 11 + x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits + if (C1.w[1] > 0x0001ed09bead87c0ull || + (C1.w[1] == 0x0001ed09bead87c0ull + && C1.w[0] > 0x378d8e63ffffffffull)) { + // x is non-canonical if coefficient is larger than 10^34 -1 + C1.w[1] = 0; + C1.w[0] = 0; + } else { // canonical + ; + } +} + + // test for input equal to zero +if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + // return 0 preserving the sign bit and the preferred exponent + // of MAX(Q(x), 0) + if (x_exp <= (0x1820ull << 49)) { + res.w[1] = (x.w[1] & 0x8000000000000000ull) | 0x3040000000000000ull; + } else { + res.w[1] = x_sign | x_exp; + } + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // x is not special and is not zero + + // if (exp <= -(p+1)) return 0.0 +if (x_exp <= 0x2ffa000000000000ull) { // 0x2ffa000000000000ull == -35 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} + // q = nr. of decimal digits in x + // determine first the nr. of bits in x +if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } +} else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); +} + +q = nr_digits[x_nr_bits - 1].digits; +if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi || + (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi && + C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; +} +exp = (x_exp >> 49) - 6176; +if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res.w[1] = x.w[1]; + res.w[0] = x.w[0]; + BID_RETURN (res); +} else if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 34; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 34 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res.w[1] = P256.w[3]; + res.w[0] = P256.w[2]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res.w[0] = (P256.w[3] << (64 - shift)) | (P256.w[2] >> shift); + res.w[1] = (P256.w[3] >> shift); + } else { // 22 <= ind - 1 <= 33 + shift = shiftright128[ind - 1]; // 2 <= shift <= 38 + res.w[1] = 0; + res.w[0] = (P256.w[3] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint, it was already rounded away from zero + res.w[1] |= x_sign | 0x3040000000000000ull; + BID_RETURN (res); +} else { // if ((q + exp) < 0) <=> q < -exp + // the result is +0 or -0 + res.w[1] = x_sign | 0x3040000000000000ull; + res.w[0] = 0x0000000000000000ull; + BID_RETURN (res); +} +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_scalb.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_scalb.c new file mode 100644 index 0000000000..dad604568b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_scalb.c @@ -0,0 +1,96 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +#define DECIMAL_EXPONENT_BIAS_128 6176 +#define MAX_DECIMAL_EXPONENT_128 12287 + + + +BID128_FUNCTION_ARG128_ARGTYPE2 (bid128_scalb, x, int, n) + + UINT128 CX, CX2, CX8, res; + SINT64 exp64; + UINT64 sign_x; + int exponent_x, rmode; + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + // x is Inf. or NaN or 0 +#ifdef SET_STATUS_FLAGS +if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif +res.w[1] = CX.w[1] & QUIET_MASK64; +res.w[0] = CX.w[0]; +if (!CX.w[1]) { + exp64 = (SINT64) exponent_x + (SINT64) n; + if(exp64<0) exp64=0; + if(exp64>MAX_DECIMAL_EXPONENT_128) exp64=MAX_DECIMAL_EXPONENT_128; + exponent_x = exp64; + get_BID128_very_fast (&res, sign_x, exponent_x, CX); +} +BID_RETURN (res); +} + +exp64 = (SINT64) exponent_x + (SINT64) n; +exponent_x = exp64; + +if ((UINT32) exponent_x <= MAX_DECIMAL_EXPONENT_128) { + get_BID128_very_fast (&res, sign_x, exponent_x, CX); + BID_RETURN (res); +} + // check for overflow +if (exp64 > MAX_DECIMAL_EXPONENT_128) { + if (CX.w[1] < 0x314dc6448d93ull) { + // try to normalize coefficient + do { + CX8.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61); + CX8.w[0] = CX.w[0] << 3; + CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63); + CX2.w[0] = CX.w[0] << 1; + __add_128_128 (CX, CX2, CX8); + + exponent_x--; + exp64--; + } + while (CX.w[1] < 0x314dc6448d93ull + && exp64 > MAX_DECIMAL_EXPONENT_128); + + } + if (exp64 <= MAX_DECIMAL_EXPONENT_128) { + get_BID128_very_fast (&res, sign_x, exponent_x, CX); + BID_RETURN (res); + } else + exponent_x = 0x7fffffff; // overflow +} + // exponent < 0 + // the BID pack routine will round the coefficient +rmode = rnd_mode; +get_BID128 (&res, sign_x, exponent_x, CX, (unsigned int *) &rmode, + pfpsf); +BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_sqrt.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_sqrt.c new file mode 100644 index 0000000000..0105e04c21 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_sqrt.c @@ -0,0 +1,564 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" +#include "bid_sqrt_macros.h" +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +#include + +#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT +#endif + +BID128_FUNCTION_ARG1 (bid128_sqrt, x) + + UINT256 M256, C256, C4, C8; + UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res; + UINT64 sign_x, Carry; + SINT64 D; + int_float fx, f64; + int exponent_x, bin_expon_cx; + int digits, scale, exponent_q; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { +res.w[1] = CX.w[1]; +res.w[0] = CX.w[0]; + // NaN ? +if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[1] = CX.w[1] & QUIET_MASK64; + BID_RETURN (res); +} + // x is Infinity? +if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + res.w[1] = CX.w[1]; + if (sign_x) { + // -Inf, return NaN + res.w[1] = 0x7c00000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + } + BID_RETURN (res); +} + // x is 0 otherwise + +res.w[1] = + sign_x | + ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1) << 49); +res.w[0] = 0; +BID_RETURN (res); +} +if (sign_x) { + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + // 2^64 +f64.i = 0x5f800000; + + // fx ~ CX +fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; +bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; +digits = estimate_decimal_digits[bin_expon_cx]; + +A10 = CX; +if (exponent_x & 1) { + A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61); + A10.w[0] = CX.w[0] << 3; + CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63); + CX2.w[0] = CX.w[0] << 1; + __add_128_128 (A10, A10, CX2); +} + +CS.w[0] = short_sqrt128 (A10); +CS.w[1] = 0; + // check for exact result +if (CS.w[0] * CS.w[0] == A10.w[0]) { + __mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]); + if (S2.w[1] == A10.w[1]) // && S2.w[0]==A10.w[0]) + { + get_BID128_very_fast (&res, 0, + (exponent_x + + DECIMAL_EXPONENT_BIAS_128) >> 1, CS); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } +} + // get number of digits in CX +D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; +if (D > 0 + || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) + digits++; + + // if exponent is odd, scale coefficient by 10 +scale = 67 - digits; +exponent_q = exponent_x - scale; +scale += (exponent_q & 1); // exp. bias is even + +if (scale > 38) { + T128 = power10_table_128[scale - 37]; + __mul_128x128_low (CX1, CX, T128); + + TP128 = power10_table_128[37]; + __mul_128x128_to_256 (C256, CX1, TP128); +} else { + T128 = power10_table_128[scale]; + __mul_128x128_to_256 (C256, CX, T128); +} + + + // 4*C256 +C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62); +C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62); +C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62); +C4.w[0] = C256.w[0] << 2; + +long_sqrt128 (&CS, C256); + +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +if (!((rnd_mode) & 3)) { +#endif +#endif + // compare to midpoints + CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63); + CSM.w[0] = (CS.w[0] + CS.w[0]) | 1; + // CSM^2 + //__mul_128x128_to_256(M256, CSM, CSM); + __sqr128_to_256 (M256, CSM); + + if (C4.w[3] > M256.w[3] + || (C4.w[3] == M256.w[3] + && (C4.w[2] > M256.w[2] + || (C4.w[2] == M256.w[2] + && (C4.w[1] > M256.w[1] + || (C4.w[1] == M256.w[1] + && C4.w[0] > M256.w[0])))))) { + // round up + CS.w[0]++; + if (!CS.w[0]) + CS.w[1]++; + } else { + C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61); + C8.w[0] = CS.w[0] << 3; + // M256 - 8*CSM + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry); + __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry); + M256.w[3] = M256.w[3] - Carry; + + // if CSM' > C256, round up + if (M256.w[3] > C4.w[3] + || (M256.w[3] == C4.w[3] + && (M256.w[2] > C4.w[2] + || (M256.w[2] == C4.w[2] + && (M256.w[1] > C4.w[1] + || (M256.w[1] == C4.w[1] + && M256.w[0] > C4.w[0])))))) { + // round down + if (!CS.w[0]) + CS.w[1]--; + CS.w[0]--; + } + } +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +} else { + __sqr128_to_256 (M256, CS); + C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63); + C8.w[0] = CS.w[0] << 1; + if (M256.w[3] > C256.w[3] + || (M256.w[3] == C256.w[3] + && (M256.w[2] > C256.w[2] + || (M256.w[2] == C256.w[2] + && (M256.w[1] > C256.w[1] + || (M256.w[1] == C256.w[1] + && M256.w[0] > C256.w[0])))))) { + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry); + __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry); + M256.w[3] = M256.w[3] - Carry; + M256.w[0]++; + if (!M256.w[0]) { + M256.w[1]++; + if (!M256.w[1]) { + M256.w[2]++; + if (!M256.w[2]) + M256.w[3]++; + } + } + + if (!CS.w[0]) + CS.w[1]--; + CS.w[0]--; + + if (M256.w[3] > C256.w[3] + || (M256.w[3] == C256.w[3] + && (M256.w[2] > C256.w[2] + || (M256.w[2] == C256.w[2] + && (M256.w[1] > C256.w[1] + || (M256.w[1] == C256.w[1] + && M256.w[0] > C256.w[0])))))) { + + if (!CS.w[0]) + CS.w[1]--; + CS.w[0]--; + } + } + + else { + __add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + __add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry); + __add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry); + M256.w[3] = M256.w[3] + Carry; + M256.w[0]++; + if (!M256.w[0]) { + M256.w[1]++; + if (!M256.w[1]) { + M256.w[2]++; + if (!M256.w[2]) + M256.w[3]++; + } + } + if (M256.w[3] < C256.w[3] + || (M256.w[3] == C256.w[3] + && (M256.w[2] < C256.w[2] + || (M256.w[2] == C256.w[2] + && (M256.w[1] < C256.w[1] + || (M256.w[1] == C256.w[1] + && M256.w[0] <= C256.w[0])))))) { + + CS.w[0]++; + if (!CS.w[0]) + CS.w[1]++; + } + } + // RU? + if ((rnd_mode) == ROUNDING_UP) { + CS.w[0]++; + if (!CS.w[0]) + CS.w[1]++; + } + +} +#endif +#endif + +#ifdef SET_STATUS_FLAGS +__set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif +get_BID128_fast (&res, 0, + (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1, CS); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +BID_RETURN (res); +} + + + +BID128_FUNCTION_ARGTYPE1 (bid128d_sqrt, UINT64, x) + + UINT256 M256, C256, C4, C8; + UINT128 CX, CX1, CX2, A10, S2, T128, TP128, CS, CSM, res; + UINT64 sign_x, Carry; + SINT64 D; + int_float fx, f64; + int exponent_x, bin_expon_cx; + int digits, scale, exponent_q; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + + // unpack arguments, check for NaN or Infinity + // unpack arguments, check for NaN or Infinity +CX.w[1] = 0; +if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], x)) { +res.w[1] = CX.w[0]; +res.w[0] = 0; + // NaN ? +if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (CX.w[0] & 0x0003ffffffffffffull); + __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]); + res.w[1] |= ((CX.w[0]) & 0xfc00000000000000ull); + BID_RETURN (res); +} + // x is Infinity? +if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) { + if (sign_x) { + // -Inf, return NaN + res.w[1] = 0x7c00000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + } + BID_RETURN (res); +} + // x is 0 otherwise + +exponent_x = + exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128; +res.w[1] = + sign_x | ((((UINT64) (exponent_x + DECIMAL_EXPONENT_BIAS_128)) >> 1) + << 49); +res.w[0] = 0; +BID_RETURN (res); +} +if (sign_x) { + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +exponent_x = + exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_128; + + // 2^64 +f64.i = 0x5f800000; + + // fx ~ CX +fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; +bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; +digits = estimate_decimal_digits[bin_expon_cx]; + +A10 = CX; +if (exponent_x & 1) { + A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61); + A10.w[0] = CX.w[0] << 3; + CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63); + CX2.w[0] = CX.w[0] << 1; + __add_128_128 (A10, A10, CX2); +} + +CS.w[0] = short_sqrt128 (A10); +CS.w[1] = 0; + // check for exact result +if (CS.w[0] * CS.w[0] == A10.w[0]) { + __mul_64x64_to_128_fast (S2, CS.w[0], CS.w[0]); + if (S2.w[1] == A10.w[1]) { + get_BID128_very_fast (&res, 0, + (exponent_x + DECIMAL_EXPONENT_BIAS_128) >> 1, + CS); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } +} + // get number of digits in CX +D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; +if (D > 0 + || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) + digits++; + + // if exponent is odd, scale coefficient by 10 +scale = 67 - digits; +exponent_q = exponent_x - scale; +scale += (exponent_q & 1); // exp. bias is even + +if (scale > 38) { + T128 = power10_table_128[scale - 37]; + __mul_128x128_low (CX1, CX, T128); + + TP128 = power10_table_128[37]; + __mul_128x128_to_256 (C256, CX1, TP128); +} else { + T128 = power10_table_128[scale]; + __mul_128x128_to_256 (C256, CX, T128); +} + + + // 4*C256 +C4.w[3] = (C256.w[3] << 2) | (C256.w[2] >> 62); +C4.w[2] = (C256.w[2] << 2) | (C256.w[1] >> 62); +C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62); +C4.w[0] = C256.w[0] << 2; + +long_sqrt128 (&CS, C256); + +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +if (!((rnd_mode) & 3)) { +#endif +#endif + // compare to midpoints + CSM.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63); + CSM.w[0] = (CS.w[0] + CS.w[0]) | 1; + // CSM^2 + //__mul_128x128_to_256(M256, CSM, CSM); + __sqr128_to_256 (M256, CSM); + + if (C4.w[3] > M256.w[3] + || (C4.w[3] == M256.w[3] + && (C4.w[2] > M256.w[2] + || (C4.w[2] == M256.w[2] + && (C4.w[1] > M256.w[1] + || (C4.w[1] == M256.w[1] + && C4.w[0] > M256.w[0])))))) { + // round up + CS.w[0]++; + if (!CS.w[0]) + CS.w[1]++; + } else { + C8.w[1] = (CS.w[1] << 3) | (CS.w[0] >> 61); + C8.w[0] = CS.w[0] << 3; + // M256 - 8*CSM + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry); + __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry); + M256.w[3] = M256.w[3] - Carry; + + // if CSM' > C256, round up + if (M256.w[3] > C4.w[3] + || (M256.w[3] == C4.w[3] + && (M256.w[2] > C4.w[2] + || (M256.w[2] == C4.w[2] + && (M256.w[1] > C4.w[1] + || (M256.w[1] == C4.w[1] + && M256.w[0] > C4.w[0])))))) { + // round down + if (!CS.w[0]) + CS.w[1]--; + CS.w[0]--; + } + } +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +} else { + __sqr128_to_256 (M256, CS); + C8.w[1] = (CS.w[1] << 1) | (CS.w[0] >> 63); + C8.w[0] = CS.w[0] << 1; + if (M256.w[3] > C256.w[3] + || (M256.w[3] == C256.w[3] + && (M256.w[2] > C256.w[2] + || (M256.w[2] == C256.w[2] + && (M256.w[1] > C256.w[1] + || (M256.w[1] == C256.w[1] + && M256.w[0] > C256.w[0])))))) { + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + __sub_borrow_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry); + __sub_borrow_in_out (M256.w[2], Carry, M256.w[2], 0, Carry); + M256.w[3] = M256.w[3] - Carry; + M256.w[0]++; + if (!M256.w[0]) { + M256.w[1]++; + if (!M256.w[1]) { + M256.w[2]++; + if (!M256.w[2]) + M256.w[3]++; + } + } + + if (!CS.w[0]) + CS.w[1]--; + CS.w[0]--; + + if (M256.w[3] > C256.w[3] + || (M256.w[3] == C256.w[3] + && (M256.w[2] > C256.w[2] + || (M256.w[2] == C256.w[2] + && (M256.w[1] > C256.w[1] + || (M256.w[1] == C256.w[1] + && M256.w[0] > C256.w[0])))))) { + + if (!CS.w[0]) + CS.w[1]--; + CS.w[0]--; + } + } + + else { + __add_carry_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + __add_carry_in_out (M256.w[1], Carry, M256.w[1], C8.w[1], Carry); + __add_carry_in_out (M256.w[2], Carry, M256.w[2], 0, Carry); + M256.w[3] = M256.w[3] + Carry; + M256.w[0]++; + if (!M256.w[0]) { + M256.w[1]++; + if (!M256.w[1]) { + M256.w[2]++; + if (!M256.w[2]) + M256.w[3]++; + } + } + if (M256.w[3] < C256.w[3] + || (M256.w[3] == C256.w[3] + && (M256.w[2] < C256.w[2] + || (M256.w[2] == C256.w[2] + && (M256.w[1] < C256.w[1] + || (M256.w[1] == C256.w[1] + && M256.w[0] <= C256.w[0])))))) { + + CS.w[0]++; + if (!CS.w[0]) + CS.w[1]++; + } + } + // RU? + if ((rnd_mode) == ROUNDING_UP) { + CS.w[0]++; + if (!CS.w[0]) + CS.w[1]++; + } + +} +#endif +#endif + +#ifdef SET_STATUS_FLAGS +__set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif +get_BID128_fast (&res, 0, (exponent_q + DECIMAL_EXPONENT_BIAS_128) >> 1, + CS); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +BID_RETURN (res); + + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_string.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_string.c new file mode 100644 index 0000000000..a6270fb0c8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_string.c @@ -0,0 +1,672 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID128_to_string + ****************************************************************************/ + +#define BID_128RES +#include +#include "bid_internal.h" +#include "bid128_2_str.h" +#include "bid128_2_str_macros.h" + +extern int bid128_coeff_2_string (UINT64 X_hi, UINT64 X_lo, + char *char_ptr); + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid128_to_string (char *str, + UINT128 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x; +#else + +void +bid128_to_string (char *str, UINT128 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + int ind; + UINT128 C1; + unsigned int k = 0; // pointer in the string + unsigned int d0, d123; + UINT64 HI_18Dig, LO_18Dig, Tmp; + UINT32 MiDi[12], *ptr; + char *c_ptr_start, *c_ptr; + int midi_ind, k_lcv, len; + +#if DECIMAL_CALL_BY_REFERENCE + x = *px; +#endif + + BID_SWAP128(x); + // check for NaN or Infinity + if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special + if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + str[0] = ((SINT64)x.w[1]<0)? '-':'+'; + str[1] = 'S'; + str[2] = 'N'; + str[3] = 'a'; + str[4] = 'N'; + str[5] = '\0'; + } else { // x is QNaN + str[0] = ((SINT64)x.w[1]<0)? '-':'+'; + str[1] = 'Q'; + str[2] = 'N'; + str[3] = 'a'; + str[4] = 'N'; + str[5] = '\0'; + } + } else { // x is not a NaN, so it must be infinity + if ((x.w[1] & MASK_SIGN) == 0x0ull) { // x is +inf + str[0] = '+'; + str[1] = 'I'; + str[2] = 'n'; + str[3] = 'f'; + str[4] = '\0'; + } else { // x is -inf + str[0] = '-'; + str[1] = 'I'; + str[2] = 'n'; + str[3] = 'f'; + str[4] = '\0'; + } + } + return; + } else if (((x.w[1] & MASK_COEFF) == 0x0ull) && (x.w[0] == 0x0ull)) { + // x is 0 + len = 0; + + //determine if +/- + if (x.w[1] & MASK_SIGN) + str[len++] = '-'; + else + str[len++] = '+'; + str[len++] = '0'; + str[len++] = 'E'; + + // extract the exponent and print + exp = (int) (((x.w[1] & MASK_EXP) >> 49) - 6176); + if(exp > (((0x5ffe)>>1) - (6176))) { + exp = (int) ((((x.w[1]<<2) & MASK_EXP) >> 49) - 6176); + } + if (exp >= 0) { + str[len++] = '+'; + len += sprintf (str + len, "%u", exp);// should not use sprintf (should + // use sophisticated algorithm, since we know range of exp is limited) + str[len++] = '\0'; + } else { + len += sprintf (str + len, "%d", exp);// should not use sprintf (should + // use sophisticated algorithm, since we know range of exp is limited) + str[len++] = '\0'; + } + return; + } else { // x is not special and is not zero + // unpack x + x_sign = x.w[1] & MASK_SIGN;// 0 for positive, MASK_SIGN for negative + x_exp = x.w[1] & MASK_EXP;// biased and shifted left 49 bit positions + if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) + x_exp = (x.w[1]<<2) & MASK_EXP;// biased and shifted left 49 bit positions + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + exp = (x_exp >> 49) - 6176; + + // determine sign's representation as a char + if (x_sign) + str[k++] = '-';// negative number + else + str[k++] = '+';// positive number + + // determine coefficient's representation as a decimal string + + // if zero or non-canonical, set coefficient to '0' + if ((C1.w[1] > 0x0001ed09bead87c0ull) || + (C1.w[1] == 0x0001ed09bead87c0ull && + (C1.w[0] > 0x378d8e63ffffffffull)) || + ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) || + ((C1.w[1] == 0) && (C1.w[0] == 0))) { + str[k++] = '0'; + } else { + /* **************************************************** + This takes a bid coefficient in C1.w[1],C1.w[0] + and put the converted character sequence at location + starting at &(str[k]). The function returns the number + of MiDi returned. Note that the character sequence + does not have leading zeros EXCEPT when the input is of + zero value. It will then output 1 character '0' + The algorithm essentailly tries first to get a sequence of + Millenial Digits "MiDi" and then uses table lookup to get the + character strings of these MiDis. + **************************************************** */ + /* Algorithm first decompose possibly 34 digits in hi and lo + 18 digits. (The high can have at most 16 digits). It then + uses macro that handle 18 digit portions. + The first step is to get hi and lo such that + 2^(64) C1.w[1] + C1.w[0] = hi * 10^18 + lo, 0 <= lo < 10^18. + We use a table lookup method to obtain the hi and lo 18 digits. + [C1.w[1],C1.w[0]] = c_8 2^(107) + c_7 2^(101) + ... + c_0 2^(59) + d + where 0 <= d < 2^59 and each c_j has 6 bits. Because d fits in + 18 digits, we set hi = 0, and lo = d to begin with. + We then retrieve from a table, for j = 0, 1, ..., 8 + that gives us A and B where c_j 2^(59+6j) = A * 10^18 + B. + hi += A ; lo += B; After each accumulation into lo, we normalize + immediately. So at the end, we have the decomposition as we need. */ + + Tmp = C1.w[0] >> 59; + LO_18Dig = (C1.w[0] << 5) >> 5; + Tmp += (C1.w[1] << 5); + HI_18Dig = 0; + k_lcv = 0; + // Tmp = {C1.w[1]{49:0}, C1.w[0]{63:59}} + // Lo_18Dig = {C1.w[0]{58:0}} + + while (Tmp) { + midi_ind = (int) (Tmp & 0x000000000000003FLL); + midi_ind <<= 1; + Tmp >>= 6; + HI_18Dig += mod10_18_tbl[k_lcv][midi_ind++]; + LO_18Dig += mod10_18_tbl[k_lcv++][midi_ind]; + __L0_Normalize_10to18 (HI_18Dig, LO_18Dig); + } + ptr = MiDi; + if (HI_18Dig == 0LL) { + __L1_Split_MiDi_6_Lead (LO_18Dig, ptr); + } else { + __L1_Split_MiDi_6_Lead (HI_18Dig, ptr); + __L1_Split_MiDi_6 (LO_18Dig, ptr); + } + len = ptr - MiDi; + c_ptr_start = &(str[k]); + c_ptr = c_ptr_start; + + /* now convert the MiDi into character strings */ + __L0_MiDi2Str_Lead (MiDi[0], c_ptr); + for (k_lcv = 1; k_lcv < len; k_lcv++) { + __L0_MiDi2Str (MiDi[k_lcv], c_ptr); + } + k = k + (c_ptr - c_ptr_start); + } + + // print E and sign of exponent + str[k++] = 'E'; + if (exp < 0) { + exp = -exp; + str[k++] = '-'; + } else { + str[k++] = '+'; + } + + // determine exponent's representation as a decimal string + // d0 = exp / 1000; + // Use Property 1 + d0 = (exp * 0x418a) >> 24;// 0x418a * 2^-24 = (10^(-3))RP,15 + d123 = exp - 1000 * d0; + + if (d0) { // 1000 <= exp <= 6144 => 4 digits to return + str[k++] = d0 + 0x30;// ASCII for decimal digit d0 + ind = 3 * d123; + str[k++] = char_table3[ind]; + str[k++] = char_table3[ind + 1]; + str[k++] = char_table3[ind + 2]; + } else { // 0 <= exp <= 999 => d0 = 0 + if (d123 < 10) { // 0 <= exp <= 9 => 1 digit to return + str[k++] = d123 + 0x30;// ASCII + } else if (d123 < 100) { // 10 <= exp <= 99 => 2 digits to return + ind = 2 * (d123 - 10); + str[k++] = char_table2[ind]; + str[k++] = char_table2[ind + 1]; + } else { // 100 <= exp <= 999 => 3 digits to return + ind = 3 * d123; + str[k++] = char_table3[ind]; + str[k++] = char_table3[ind + 1]; + str[k++] = char_table3[ind + 2]; + } + } + str[k] = '\0'; + + } + return; + +} + + +#define MAX_FORMAT_DIGITS_128 34 +#define MAX_STRING_DIGITS_128 100 +#define MAX_SEARCH MAX_STRING_DIGITS_128-MAX_FORMAT_DIGITS_128-1 + + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid128_from_string (UINT128 * pres, + char *ps _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#else + +UINT128 +bid128_from_string (char *ps _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CX, res; + UINT64 sign_x, coeff_high, coeff_low, coeff2, coeff_l2, carry = 0x0ull, + scale_high, right_radix_leading_zeros; + int ndigits_before, ndigits_after, ndigits_total, dec_expon, sgn_exp, + i, d2, rdx_pt_enc; + char c, buffer[MAX_STRING_DIGITS_128]; + int save_rnd_mode; + int save_fpsf; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + save_rnd_mode = rnd_mode; // dummy + save_fpsf = *pfpsf; // dummy + + right_radix_leading_zeros = rdx_pt_enc = 0; + + // if null string, return NaN + if (!ps) { + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + // eliminate leading white space + while ((*ps == ' ') || (*ps == '\t')) + ps++; + + // c gets first character + c = *ps; + + + // if c is null or not equal to a (radix point, negative sign, + // positive sign, or number) it might be SNaN, sNaN, Infinity + if (!c + || (c != '.' && c != '-' && c != '+' + && ((unsigned) (c - '0') > 9))) { + res.w[0] = 0; + // Infinity? + if ((tolower_macro (ps[0]) == 'i' && tolower_macro (ps[1]) == 'n' + && tolower_macro (ps[2]) == 'f') + && (!ps[3] + || (tolower_macro (ps[3]) == 'i' + && tolower_macro (ps[4]) == 'n' + && tolower_macro (ps[5]) == 'i' + && tolower_macro (ps[6]) == 't' + && tolower_macro (ps[7]) == 'y' && !ps[8]) + )) { + res.w[1] = 0x7800000000000000ull; + BID_RETURN (res); + } + // return sNaN + if (tolower_macro (ps[0]) == 's' && tolower_macro (ps[1]) == 'n' && + tolower_macro (ps[2]) == 'a' && tolower_macro (ps[3]) == 'n') { + // case insensitive check for snan + res.w[1] = 0x7e00000000000000ull; + BID_RETURN (res); + } else { + // return qNaN + res.w[1] = 0x7c00000000000000ull; + BID_RETURN (res); + } + } + // if +Inf, -Inf, +Infinity, or -Infinity (case insensitive check for inf) + if ((tolower_macro (ps[1]) == 'i' && tolower_macro (ps[2]) == 'n' && + tolower_macro (ps[3]) == 'f') && (!ps[4] || + (tolower_macro (ps[4]) == 'i' && tolower_macro (ps[5]) == 'n' && + tolower_macro (ps[6]) == 'i' && tolower_macro (ps[7]) == 't' && + tolower_macro (ps[8]) == 'y' && !ps[9]))) { // ci check for infinity + res.w[0] = 0; + + if (c == '+') + res.w[1] = 0x7800000000000000ull; + else if (c == '-') + res.w[1] = 0xf800000000000000ull; + else + res.w[1] = 0x7c00000000000000ull; + + BID_RETURN (res); + } + // if +sNaN, +SNaN, -sNaN, or -SNaN + if (tolower_macro (ps[1]) == 's' && tolower_macro (ps[2]) == 'n' + && tolower_macro (ps[3]) == 'a' && tolower_macro (ps[4]) == 'n') { + res.w[0] = 0; + if (c == '-') + res.w[1] = 0xfe00000000000000ull; + else + res.w[1] = 0x7e00000000000000ull; + BID_RETURN (res); + } + // set up sign_x to be OR'ed with the upper word later + if (c == '-') + sign_x = 0x8000000000000000ull; + else + sign_x = 0; + + // go to next character if leading sign + if (c == '-' || c == '+') + ps++; + + c = *ps; + + // if c isn't a decimal point or a decimal digit, return NaN + if (c != '.' && ((unsigned) (c - '0') > 9)) { + res.w[1] = 0x7c00000000000000ull | sign_x; + res.w[0] = 0; + BID_RETURN (res); + } + // detect zero (and eliminate/ignore leading zeros) + if (*(ps) == '0') { + + // if all numbers are zeros (with possibly 1 radix point, the number is zero + // should catch cases such as: 000.0 + while (*ps == '0') { + + ps++; + + // for numbers such as 0.0000000000000000000000000000000000001001, + // we want to count the leading zeros + if (rdx_pt_enc) { + right_radix_leading_zeros++; + } + // if this character is a radix point, make sure we haven't already + // encountered one + if (*(ps) == '.') { + if (rdx_pt_enc == 0) { + rdx_pt_enc = 1; + // if this is the first radix point, and the next character is NULL, + // we have a zero + if (!*(ps + 1)) { + res.w[1] = + (0x3040000000000000ull - + (right_radix_leading_zeros << 49)) | sign_x; + res.w[0] = 0; + BID_RETURN (res); + } + ps = ps + 1; + } else { + // if 2 radix points, return NaN + res.w[1] = 0x7c00000000000000ull | sign_x; + res.w[0] = 0; + BID_RETURN (res); + } + } else if (!*(ps)) { + //res.w[1] = 0x3040000000000000ull | sign_x; + res.w[1] = + (0x3040000000000000ull - + (right_radix_leading_zeros << 49)) | sign_x; + res.w[0] = 0; + BID_RETURN (res); + } + } + } + + c = *ps; + + // initialize local variables + ndigits_before = ndigits_after = ndigits_total = 0; + sgn_exp = 0; + // pstart_coefficient = ps; + + if (!rdx_pt_enc) { + // investigate string (before radix point) + while ((unsigned) (c - '0') <= 9 + && ndigits_before < MAX_STRING_DIGITS_128) { + buffer[ndigits_before] = c; + ps++; + c = *ps; + ndigits_before++; + } + + ndigits_total = ndigits_before; + if (c == '.') { + ps++; + if ((c = *ps)) { + + // investigate string (after radix point) + while ((unsigned) (c - '0') <= 9 + && ndigits_total < MAX_STRING_DIGITS_128) { + buffer[ndigits_total] = c; + ps++; + c = *ps; + ndigits_total++; + } + ndigits_after = ndigits_total - ndigits_before; + } + } + } else { + // we encountered a radix point while detecting zeros + //if (c = *ps){ + + c = *ps; + ndigits_total = 0; + // investigate string (after radix point) + while ((unsigned) (c - '0') <= 9 + && ndigits_total < MAX_STRING_DIGITS_128) { + buffer[ndigits_total] = c; + ps++; + c = *ps; + ndigits_total++; + } + ndigits_after = ndigits_total - ndigits_before; + } + + // get exponent + dec_expon = 0; + if (ndigits_total < MAX_STRING_DIGITS_128) { + if (c) { + if (c != 'e' && c != 'E') { + // return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + ps++; + c = *ps; + + if (((unsigned) (c - '0') > 9) + && ((c != '+' && c != '-') || (unsigned) (ps[1] - '0') > 9)) { + // return NaN + res.w[1] = 0x7c00000000000000ull; + res.w[0] = 0; + BID_RETURN (res); + } + + if (c == '-') { + sgn_exp = -1; + ps++; + c = *ps; + } else if (c == '+') { + ps++; + c = *ps; + } + + dec_expon = c - '0'; + i = 1; + ps++; + c = *ps - '0'; + while (((unsigned) c) <= 9 && i < 7) { + d2 = dec_expon + dec_expon; + dec_expon = (d2 << 2) + d2 + c; + ps++; + c = *ps - '0'; + i++; + } + } + + dec_expon = (dec_expon + sgn_exp) ^ sgn_exp; + } + + + if (ndigits_total <= MAX_FORMAT_DIGITS_128) { + dec_expon += + DECIMAL_EXPONENT_BIAS_128 - ndigits_after - + right_radix_leading_zeros; + if (dec_expon < 0) { + res.w[1] = 0 | sign_x; + res.w[0] = 0; + } + if (ndigits_total == 0) { + CX.w[0] = 0; + CX.w[1] = 0; + } else if (ndigits_total <= 19) { + coeff_high = buffer[0] - '0'; + for (i = 1; i < ndigits_total; i++) { + coeff2 = coeff_high + coeff_high; + coeff_high = (coeff2 << 2) + coeff2 + buffer[i] - '0'; + } + CX.w[0] = coeff_high; + CX.w[1] = 0; + } else { + coeff_high = buffer[0] - '0'; + for (i = 1; i < ndigits_total - 17; i++) { + coeff2 = coeff_high + coeff_high; + coeff_high = (coeff2 << 2) + coeff2 + buffer[i] - '0'; + } + coeff_low = buffer[i] - '0'; + i++; + for (; i < ndigits_total; i++) { + coeff_l2 = coeff_low + coeff_low; + coeff_low = (coeff_l2 << 2) + coeff_l2 + buffer[i] - '0'; + } + // now form the coefficient as coeff_high*10^19+coeff_low+carry + scale_high = 100000000000000000ull; + __mul_64x64_to_128_fast (CX, coeff_high, scale_high); + + CX.w[0] += coeff_low; + if (CX.w[0] < coeff_low) + CX.w[1]++; + } + get_BID128 (&res, sign_x, dec_expon, CX,&rnd_mode,pfpsf); + BID_RETURN (res); + } else { + // simply round using the digits that were read + + dec_expon += + ndigits_before + DECIMAL_EXPONENT_BIAS_128 - + MAX_FORMAT_DIGITS_128 - right_radix_leading_zeros; + + if (dec_expon < 0) { + res.w[1] = 0 | sign_x; + res.w[0] = 0; + } + + coeff_high = buffer[0] - '0'; + for (i = 1; i < MAX_FORMAT_DIGITS_128 - 17; i++) { + coeff2 = coeff_high + coeff_high; + coeff_high = (coeff2 << 2) + coeff2 + buffer[i] - '0'; + } + coeff_low = buffer[i] - '0'; + i++; + for (; i < MAX_FORMAT_DIGITS_128; i++) { + coeff_l2 = coeff_low + coeff_low; + coeff_low = (coeff_l2 << 2) + coeff_l2 + buffer[i] - '0'; + } + switch(rnd_mode) { + case ROUNDING_TO_NEAREST: + carry = ((unsigned) ('4' - buffer[i])) >> 31; + if ((buffer[i] == '5' && !(coeff_low & 1)) || dec_expon < 0) { + if (dec_expon >= 0) { + carry = 0; + i++; + } + for (; i < ndigits_total; i++) { + if (buffer[i] > '0') { + carry = 1; + break; + } + } + } + break; + + case ROUNDING_DOWN: + if(sign_x) + for (; i < ndigits_total; i++) { + if (buffer[i] > '0') { + carry = 1; + break; + } + } + break; + case ROUNDING_UP: + if(!sign_x) + for (; i < ndigits_total; i++) { + if (buffer[i] > '0') { + carry = 1; + break; + } + } + break; + case ROUNDING_TO_ZERO: + carry=0; + break; + case ROUNDING_TIES_AWAY: + carry = ((unsigned) ('4' - buffer[i])) >> 31; + if (dec_expon < 0) { + for (; i < ndigits_total; i++) { + if (buffer[i] > '0') { + carry = 1; + break; + } + } + } + break; + + + } + // now form the coefficient as coeff_high*10^17+coeff_low+carry + scale_high = 100000000000000000ull; + if (dec_expon < 0) { + if (dec_expon > -MAX_FORMAT_DIGITS_128) { + scale_high = 1000000000000000000ull; + coeff_low = (coeff_low << 3) + (coeff_low << 1); + dec_expon--; + } + if (dec_expon == -MAX_FORMAT_DIGITS_128 + && coeff_high > 50000000000000000ull) + carry = 0; + } + + __mul_64x64_to_128_fast (CX, coeff_high, scale_high); + + coeff_low += carry; + CX.w[0] += coeff_low; + if (CX.w[0] < coeff_low) + CX.w[1]++; + + + get_BID128(&res, sign_x, dec_expon, CX, &rnd_mode, pfpsf); + BID_RETURN (res); + } +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int16.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int16.c new file mode 100644 index 0000000000..6b324a1d24 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int16.c @@ -0,0 +1,67 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffff8000 +#define INVALID_RESULT 0x8000 + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_rnint, UINT128, x, + bid128_to_int32_rnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_xrnint, UINT128, + x, bid128_to_int32_xrnint, int, + SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_rninta, UINT128, + x, bid128_to_int32_rninta, int, + SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_xrninta, UINT128, + x, bid128_to_int32_xrninta, int, + SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_int, UINT128, x, + bid128_to_int32_int, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_xint, UINT128, x, + bid128_to_int32_xint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_floor, UINT128, x, + bid128_to_int32_floor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_ceil, UINT128, x, + bid128_to_int32_ceil, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_xfloor, UINT128, + x, bid128_to_int32_xfloor, int, + SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid128_to_int16_xceil, UINT128, x, + bid128_to_int32_xceil, int, SIZE_MASK, + INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int32.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int32.c new file mode 100644 index 0000000000..d1ad9f1db6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int32.c @@ -0,0 +1,3659 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID128_to_int32_rnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_rnint, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000005, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000005 <=> + // C > 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1/2 up) + tmp64 = 0x500000005ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31-1/2 up) + tmp64 = 0x4fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1/2 <= x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_xrnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_xrnint, + x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000005, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000005 <=> + // C > 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1/2 up) + tmp64 = 0x500000005ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31-1/2 up) + tmp64 = 0x4fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1/2 <= x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_floor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_floor, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_lt_midpoint = 0; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + int is_midpoint_gt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000000 <=> + // C > 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31 up) + tmp64 = 0x500000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31 up) + tmp64 = 0x500000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 <= n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // return 0 + if (x_sign) + res = 0xffffffff; + else + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31 <= x <= -1 or 1 <= x < 2^31 so x can be rounded + // toward negative infinity to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RM + if (x_sign && (is_midpoint_gt_even || is_inexact_lt_midpoint)) { + Cstar.w[0] = Cstar.w[0] + 1; + } else if (!x_sign + && (is_midpoint_lt_even || is_inexact_gt_midpoint)) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // the result is already correct + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + + +/***************************************************************************** + * BID128_to_int32_xfloor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_xfloor, + x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_lt_midpoint = 0; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + int is_midpoint_gt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000000 <=> + // C > 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31 up) + tmp64 = 0x500000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31 up) + tmp64 = 0x500000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 <= n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + if (x_sign) + res = 0xffffffff; + else + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31 <= x <= -1 or 1 <= x < 2^31 so x can be rounded + // toward negative infinity to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RM + if (x_sign && (is_midpoint_gt_even || is_inexact_lt_midpoint)) { + Cstar.w[0] = Cstar.w[0] + 1; + } else if (!x_sign + && (is_midpoint_lt_even || is_inexact_gt_midpoint)) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // the result is already correct + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_ceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_ceil, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_lt_midpoint = 0; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + int is_midpoint_gt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31-1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1 up) + tmp64 = 0x50000000aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n > 2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 - 1 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 > 0x4fffffff6, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x4fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x4fffffff6 <=> + // C > 0x4fffffff6 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31 up) + tmp64 = 0x4fffffff6ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31-1 < n <= 2^31-1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // return 0 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x <= 2^31-1 so x can be rounded + // toward positive infinity to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RM + if (x_sign && (is_midpoint_lt_even || is_inexact_gt_midpoint)) { + Cstar.w[0] = Cstar.w[0] - 1; + } else if (!x_sign + && (is_midpoint_gt_even || is_inexact_lt_midpoint)) { + Cstar.w[0] = Cstar.w[0] + 1; + } else { + ; // the result is already correct + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_xceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_xceil, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_lt_midpoint = 0; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + int is_midpoint_gt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31-1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1 up) + tmp64 = 0x50000000aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n > 2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 - 1 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 > 0x4fffffff6, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x4fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x4fffffff6 <=> + // C > 0x4fffffff6 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31 up) + tmp64 = 0x4fffffff6ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31-1 < n <= 2^31-1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x <= 2^31-1 so x can be rounded + // toward positive infinity to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_lt_midpoint = 0; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RM + if (x_sign && (is_midpoint_lt_even || is_inexact_gt_midpoint)) { + Cstar.w[0] = Cstar.w[0] - 1; + } else if (!x_sign + && (is_midpoint_gt_even || is_inexact_lt_midpoint)) { + Cstar.w[0] = Cstar.w[0] + 1; + } else { + ; // the result is already correct + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_int + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_int, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1 up) + tmp64 = 0x50000000aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31-1/2 up) + tmp64 = 0x500000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1 < n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x < 2^31 so x can be rounded + // toward zero to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0]))) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) && + (fstar.w[1] || fstar.w[0]) && + (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] || + (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] && + fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RZ + if (is_midpoint_lt_even || is_inexact_gt_midpoint) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // exact, the result is already correct + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_xint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_xint, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1 up) + tmp64 = 0x50000000aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31-1/2 up) + tmp64 = 0x500000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1 < n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x < 2^31 so x can be rounded + // toward zero to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && (fstar.w[2] || + fstar.w[1] + || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RZ + if (is_midpoint_lt_even || is_inexact_gt_midpoint) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // exact, the result is already correct + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_rninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_rninta, + x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000005, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000005 <=> + // C >= 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1/2 up) + tmp64 = 0x500000005ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31-1/2 up) + tmp64 = 0x4fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1/2 < x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest-away to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint, it was already rounded away from zero + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + // no need to check for midpoints - already rounded away from zero! + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int32_xrninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (int, bid128_to_int32_xrninta, + x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000005, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000005 <=> + // C >= 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31+1/2 up) + tmp64 = 0x500000005ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^31-1/2 up) + tmp64 = 0x4fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^31-1/2 < x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest-away to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint, it was already rounded away from zero + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || (fstar.w[1] == 0x8000000000000000ull && fstar.w[0] > 0x0ull)) { // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0]))) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] || + fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + // no need to check for midpoints - already rounded away from zero! + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int64.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int64.c new file mode 100644 index 0000000000..8a6050f299 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int64.c @@ -0,0 +1,2994 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID128_to_int64_rnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_rnint, + x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) || + (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0000000000000005ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) && + (fstar.w[1] || fstar.w[0]) && + (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] || + (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] && + fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_xrnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, + bid128_to_int64_xrnint, x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0000000000000005ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) && + (fstar.w[1] || fstar.w[0]) && + (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] || + (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] && + fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_floor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_floor, + x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 10*2^63, 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return -1 or 0 + if (x_sign) + res = 0xffffffffffffffffull; + else + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded + // toward zero to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result is negative and inexact, need to add 1 to it + + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] || + (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] && + fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } + + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_xfloor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, + bid128_to_int64_xfloor, x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 10*2^63, 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return -1 or 0 + if (x_sign) + res = 0xffffffffffffffffull; + else + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded + // toward zero to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result is negative and inexact, need to add 1 to it + + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] || + (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] && + fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_ceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_ceil, + x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+2), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x5000000000000000a, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x000000000000000aull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n > 2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 10*(2^63-1), 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=34 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffff6ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1 < n <= 2^63 - 1 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 or 1 + if (x_sign) + res = 0x0000000000000000ull; + else + res = 0x0000000000000001ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded + // up to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result is positive and inexact, need to add 1 to it + + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_xceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_xceil, + x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+2), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x5000000000000000a, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x000000000000000aull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n > 2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 10*(2^63-1), 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=34 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffff6ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1 < n <= 2^63 - 1 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 or 1 + if (x_sign) + res = 0x0000000000000000ull; + else + res = 0x0000000000000001ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded + // up to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result is positive and inexact, need to add 1 to it + + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_int + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_int, + x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x000000000000000aull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded + // toward zero to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_xint64_xint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, bid128_to_int64_xint, + x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x000000000000000aull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded + // toward zero to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_rninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, + bid128_to_int64_rninta, x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0000000000000005ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + + // if the result was a midpoint it was rounded away from zero + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_int64_xrninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (SINT64, + bid128_to_int64_xrninta, x) + + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=34 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=34 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0000000000000005ull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=34 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=34 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + if (q <= 19) { // 1 <= q <= 19 => 1 <= 20-q <= 19 => + // 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C1, C1.w[0], ten2k64[20 - q]); + } else if (q == 20) { + ; // C1 * 10^0 = C1 + } else { // if 21 <= q <= 34 + __mul_128x64_to_128 (C, ten2k64[q - 20], C); // max 47-bit x 67-bit + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } + } + // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + // Restore C1 which may have been modified above + C1.w[1] = x.w[1] & MASK_COEFF; + C1.w[0] = x.w[0]; + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 19, 1 <= q <= 34, -33 <= exp <= 18) + // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero + if (x_sign) + res = -Cstar.w[0]; + else + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 19 + // res = +/-C (exact) + if (x_sign) + res = -C1.w[0]; + else + res = C1.w[0]; + } else { // if (exp>0) => 1 <= exp <= 18, 1 <= q < 18, 2 <= q + exp <= 19 + // res = +/-C * 10^exp (exact) where this fits in 64-bit integer + if (x_sign) + res = -C1.w[0] * ten2k64[exp]; + else + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int8.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int8.c new file mode 100644 index 0000000000..ebcf8b47ed --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_int8.c @@ -0,0 +1,67 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffffff80 +#define INVALID_RESULT 0x80 + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_rnint, UINT128, x, + bid128_to_int32_rnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_xrnint, UINT128, x, + bid128_to_int32_xrnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_rninta, UINT128, x, + bid128_to_int32_rninta, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_xrninta, UINT128, x, + bid128_to_int32_xrninta, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_int, UINT128, x, + bid128_to_int32_int, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_xint, UINT128, x, + bid128_to_int32_xint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_floor, UINT128, x, + bid128_to_int32_floor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_ceil, UINT128, x, + bid128_to_int32_ceil, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_xfloor, UINT128, x, + bid128_to_int32_xfloor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid128_to_int8_xceil, UINT128, x, + bid128_to_int32_xceil, int, SIZE_MASK, + INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint16.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint16.c new file mode 100644 index 0000000000..bedce51b57 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint16.c @@ -0,0 +1,68 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffff0000 +#define INVALID_RESULT 0x8000 + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_rnint, + UINT128, x, bid128_to_uint32_rnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_xrnint, + UINT128, x, bid128_to_uint32_xrnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_rninta, + UINT128, x, bid128_to_uint32_rninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, + bid128_to_uint16_xrninta, UINT128, x, + bid128_to_uint32_xrninta, unsigned int, + SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_int, + UINT128, x, bid128_to_uint32_int, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_xint, + UINT128, x, bid128_to_uint32_xint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_floor, + UINT128, x, bid128_to_uint32_floor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_ceil, + UINT128, x, bid128_to_uint32_ceil, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_xfloor, + UINT128, x, bid128_to_uint32_xfloor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid128_to_uint16_xceil, + UINT128, x, bid128_to_uint32_xceil, + unsigned int, SIZE_MASK, INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint32.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint32.c new file mode 100644 index 0000000000..11a0bc5cb2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint32.c @@ -0,0 +1,3588 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID128_to_uint32_rnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_rnint, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -1/2 then n cannot be converted to uint32 with RN + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x05, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x05 <=> + // C > 0x05 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1/2 up) + tmp64 = 0x05ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32-1/2 up) + tmp64 = 0x9fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -1/2 <= n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + } + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32-1/2 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_xrnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_xrnint, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + unsigned int tmp_inexact = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -1/2 then n cannot be converted to uint32 with RN + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x05, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x05 <=> + // C > 0x05 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1/2 up) + tmp64 = 0x05ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32-1/2 up) + tmp64 = 0x9fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -1/2 <= n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32-1/2 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + res = Cstar.w[0]; // the result is positive + if (tmp_inexact) + *pfpsf |= INEXACT_EXCEPTION; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_floor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_floor, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + // x < 0 is invalid + if (x_sign) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // x > 0 from this point on + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + // n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32 up) + tmp64 = 0xa00000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + // n is not too large to be converted to int32: 0 <= n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +0.0...c(0)c(1)...c(q-1) or n = +0.c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // 1 <= x < 2^32 so x can be rounded down to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RM + if (is_midpoint_lt_even || is_inexact_gt_midpoint) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // the result is already correct + } + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_xfloor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_xfloor, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + // x < 0 is invalid + if (x_sign) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // x > 0 from this point on + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + // n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32 up) + tmp64 = 0xa00000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + // n is not too large to be converted to int32: 0 <= n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +0.0...c(0)c(1)...c(q-1) or n = +0.c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // 1 <= x < 2^32 so x can be rounded down to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RM + if (is_midpoint_lt_even || is_inexact_gt_midpoint) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // the result is already correct + } + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_ceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_ceil, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_lt_midpoint = 0; + int is_midpoint_gt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x0a <=> + // C >= 0x0a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1 up) + tmp64 = 0x0aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n > 2^32 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^32 - 1 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 > 0x9fffffff6, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x9fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x9fffffff6 <=> + // C > 0x9fffffff6 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32 up) + tmp64 = 0x9fffffff6ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^32-1 < n <= 2^32-1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // return 0 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^32-1 < x <= -1 or 1 <= x <= 2^32-1 so x can be rounded + // toward positive infinity to a 32-bit signed integer + if (x_sign) { // x <= -1 is invalid + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // x > 0 from this point on + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + ; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + ; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_inexact_lt_midpoint = 0; + } + } + // general correction for RM + if (is_midpoint_gt_even || is_inexact_lt_midpoint) { + Cstar.w[0] = Cstar.w[0] + 1; + } else { + ; // the result is already correct + } + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_xceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_xceil, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_lt_midpoint = 0; + int is_midpoint_gt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x50000000a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x0a <=> + // C >= 0x0a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1 up) + tmp64 = 0x0aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n > 2^32 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^32 - 1 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 > 0x9fffffff6, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x9fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 > 0x9fffffff6 <=> + // C > 0x9fffffff6 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32 up) + tmp64 = 0x9fffffff6ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^32-1 < n <= 2^32-1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // -2^32-1 < x <= -1 or 1 <= x <= 2^32-1 so x can be rounded + // toward positive infinity to a 32-bit signed integer + if (x_sign) { // x <= -1 is invalid + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // x > 0 from this point on + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_midpoint_gt_even = 1; + is_inexact_lt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_inexact_lt_midpoint = 0; + } + } + // general correction for RM + if (is_midpoint_gt_even || is_inexact_lt_midpoint) { + Cstar.w[0] = Cstar.w[0] + 1; + } else { + ; // the result is already correct + } + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_int + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_int, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x0a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit uint fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x0a <=> + // C >= 0x0a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1 up) + tmp64 = 0x0aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit uint fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32 up) + tmp64 = 0xa00000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to uint32: -2^32 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // x = d(0)...d(k).d(k+1)..., k >= 0, d(0) != 0 + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // x > 0 from this point on + // 1 <= x < 2^32 so x can be rounded to zero to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RZ + if (is_midpoint_lt_even || is_inexact_gt_midpoint) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // exact, the result is already correct + } + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_xint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_xint, x) + + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + int is_inexact_gt_midpoint = 0; + int is_midpoint_lt_even = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x0a, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit uint fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x0a <=> + // C >= 0x0a * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1 up) + tmp64 = 0x0aull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit uint fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32 up) + tmp64 = 0xa00000000ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to uint32: -2^32 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { + // n = +/-0.0...c(0)c(1)...c(q-1) or n = +/-0.c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + // x = d(0)...d(k).d(k+1)..., k >= 0, d(0) != 0 + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // x > 0 from this point on + // 1 <= x < 2^32 so x can be rounded to zero to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + is_inexact_gt_midpoint = 1; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + is_midpoint_lt_even = 1; + is_inexact_gt_midpoint = 0; + } + } + // general correction for RZ + if (is_midpoint_lt_even || is_inexact_gt_midpoint) { + Cstar.w[0] = Cstar.w[0] - 1; + } else { + ; // exact, the result is already correct + } + res = Cstar.w[0]; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_rninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_rninta, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x05, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x05 <=> + // C >= 0x05 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1/2 up) + tmp64 = 0x05ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32-1/2 up) + tmp64 = 0x9fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -1/2 < n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + } + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^31-1/2 so x can be rounded + // to nearest-away to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint, it was already rounded away from zero + res = Cstar.w[0]; // always positive + // no need to check for midpoints - already rounded away from zero! + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint32_xrninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (unsigned int, + bid128_to_uint32_xrninta, x) + + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + unsigned int tmp_inexact = 0; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x00000000; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x05, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x05 <=> + // C >= 0x05 * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 1/2 up) + tmp64 = 0x05ull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // too large if 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=34 + if (q <= 11) { + tmp64 = C1.w[0] * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 34 and so -24 <= exp <= -2 + // 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 23 + // (scale 2^32-1/2 up) + tmp64 = 0x9fffffffbull; + if (q - 11 <= 19) { // 1 <= q - 11 <= 19; 10^(q-11) requires 64 bits + __mul_64x64_to_128MACH (C, tmp64, ten2k64[q - 11]); + } else { // 20 <= q - 11 <= 23, and 10^(q-11) requires 128 bits + __mul_128x64_to_128 (C, tmp64, ten2k128[q - 31]); + } + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -1/2 < n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x00000000; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x80000000; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 34, -33 <= exp <= 9) + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^31-1/2 so x can be rounded + // to nearest-away to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint, it was already rounded away from zero + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + // *pfpsf |= INEXACT_EXCEPTION; + tmp_inexact = 1; + } + } + // no need to check for midpoints - already rounded away from zero! + res = Cstar.w[0]; // the result is positive + if (tmp_inexact) + *pfpsf |= INEXACT_EXCEPTION; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1.w[0]; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint64.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint64.c new file mode 100644 index 0000000000..89e2c9cfe0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint64.c @@ -0,0 +1,3401 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID128_to_uint64_rnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_rnint, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n < -1/2 then n cannot be converted to uint64 with RN + // too large if c(0)c(1)...c(19).c(20)...c(q-1) > 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 > 0x05, 1<=q<=34 + // <=> C * 10^(21-q) > 0x05, 1<=q<=34 + if (q == 21) { + // C > 5 + if (C1.w[1] != 0 || C1.w[0] > 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) > 5 is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C > 5 * 10^(q-21) is true because C > 2^64 and 5*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0x9fffffffffffffffb + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C * 10 >= 0x9fffffffffffffffb <=> C * 2 > 1ffffffffffffffff + C.w[0] = C1.w[0] + C1.w[0]; + C.w[1] = C1.w[1] + C1.w[1]; + if (C.w[0] < C1.w[0]) + C.w[1]++; + if (C.w[1] > 0x01 || (C.w[1] == 0x01 + && C.w[0] >= 0xffffffffffffffffull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0x9fffffffffffffffb + if (C1.w[1] > 0x09 || (C1.w[1] == 0x09 + && C1.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0x9fffffffffffffffb max 44 bits x 68 bits + C.w[1] = 0x09; + C.w[0] = 0xfffffffffffffffbull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 <= n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + } + } + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_xrnint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_xrnint, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n < -1/2 then n cannot be converted to uint64 with RN + // too large if c(0)c(1)...c(19).c(20)...c(q-1) > 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 > 0x05, 1<=q<=34 + // <=> C * 10^(21-q) > 0x05, 1<=q<=34 + if (q == 21) { + // C > 5 + if (C1.w[1] != 0 || C1.w[0] > 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) > 5 is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C > 5 * 10^(q-21) is true because C > 2^64 and 5*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0x9fffffffffffffffb + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C * 10 >= 0x9fffffffffffffffb <=> C * 2 > 1ffffffffffffffff + C.w[0] = C1.w[0] + C1.w[0]; + C.w[1] = C1.w[1] + C1.w[1]; + if (C.w[0] < C1.w[0]) + C.w[1]++; + if (C.w[1] > 0x01 || (C.w[1] == 0x01 + && C.w[0] >= 0xffffffffffffffffull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0x9fffffffffffffffb + if (C1.w[1] > 0x09 || (C1.w[1] == 0x09 + && C1.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0x9fffffffffffffffb max 44 bits x 68 bits + C.w[1] = 0x09; + C.w[0] = 0xfffffffffffffffbull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 <= n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] <= midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] <= midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[3] == 0) && (fstar.w[2] == 0) + && (fstar.w[1] || fstar.w[0]) + && (fstar.w[1] < ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] <= ten2mk128trunc[ind - 1].w[0]))) { + // the result is a midpoint; round to nearest + if (Cstar.w[0] & 0x01) { // Cstar.w[0] is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar.w[0]--; // Cstar.w[0] is now even + } // else MP in [ODD, EVEN] + } + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_floor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_floor, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // if n < 0 then n cannot be converted to uint64 with RM + if (x_sign) { // if n < 0 and q + exp = 20 + // too large if c(0)c(1)...c(19).c(20)...c(q-1) > 0 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + // if n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*2^65 + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0xa0000000000000000 + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C >= 0x10000000000000000 + if (C1.w[1] >= 0x01) { + // actually C1.w[1] == 0x01 && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0xa0000000000000000 + if (C1.w[1] >= 0x0a) { + // actually C1.w[1] == 0x0a && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0xa0000000000000000 max 44 bits x 68 bits + C.w[1] = 0x0a; + C.w[0] = 0x0000000000000000ull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + // n is not too large to be converted to int64 if 0 <= n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // 1 <= x < 2^64 so x can be rounded + // down to a 64-bit unsigned signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_xfloor + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_xfloor, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // if n < 0 then n cannot be converted to uint64 with RM + if (x_sign) { // if n < 0 and q + exp = 20 + // too large if c(0)c(1)...c(19).c(20)...c(q-1) > 0 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + // if n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*2^65 + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0xa0000000000000000 + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C >= 0x10000000000000000 + if (C1.w[1] >= 0x01) { + // actually C1.w[1] == 0x01 && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0xa0000000000000000 + if (C1.w[1] >= 0x0a) { + // actually C1.w[1] == 0x0a && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0xa0000000000000000 max 44 bits x 68 bits + C.w[1] = 0x0a; + C.w[0] = 0x0000000000000000ull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + // n is not too large to be converted to int64 if 0 <= n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // 1 <= x < 2^64 so x can be rounded + // down to a 64-bit unsigned signed integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] || + (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] && + fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_ceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, bid128_to_uint64_ceil, + x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n <= -1 then n cannot be converted to uint64 with RZ + // too large if c(0)c(1)...c(19).c(20)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 >= 0x0a, 1<=q<=34 + // <=> C * 10^(21-q) >= 0x0a, 1<=q<=34 + if (q == 21) { + // C >= a + if (C1.w[1] != 0 || C1.w[0] >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) >= a is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= a * 10^(q-21) is true because C > 2^64 and a*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n > 2^64 - 1 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 > 10 * (2^64 - 1) + // <=> C * 10^(21-q) > 0x9fffffffffffffff6, 1<=q<=34 + if (q == 1) { + // C * 10^20 > 0x9fffffffffffffff6 + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) > 0x9fffffffffffffff6 + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C > 0xffffffffffffffff + if (C1.w[1]) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C > 0x9fffffffffffffff6 + if (C1.w[1] > 0x09 || (C1.w[1] == 0x09 + && C1.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C > 10^(q-21) * 0x9fffffffffffffff6 max 44 bits x 68 bits + C.w[1] = 0x09; + C.w[0] = 0xfffffffffffffff6ull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n <= 2^64 - 1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 or 1 + if (x_sign) + res = 0x0000000000000000ull; + else + res = 0x0000000000000001ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64 so if positive x can be rounded + // to zero to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x <= 2^64 - 1 so x can be rounded + // to zero to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result is positive and inexact, need to add 1 to it + + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + } // else the result is exact + } + + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_xceil + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_xceil, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n <= -1 then n cannot be converted to uint64 with RZ + // too large if c(0)c(1)...c(19).c(20)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 >= 0x0a, 1<=q<=34 + // <=> C * 10^(21-q) >= 0x0a, 1<=q<=34 + if (q == 21) { + // C >= a + if (C1.w[1] != 0 || C1.w[0] >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) >= a is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= a * 10^(q-21) is true because C > 2^64 and a*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n > 2^64 - 1 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 > 10 * (2^64 - 1) + // <=> C * 10^(21-q) > 0x9fffffffffffffff6, 1<=q<=34 + if (q == 1) { + // C * 10^20 > 0x9fffffffffffffff6 + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) > 0x9fffffffffffffff6 + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C > 0xffffffffffffffff + if (C1.w[1]) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C > 0x9fffffffffffffff6 + if (C1.w[1] > 0x09 || (C1.w[1] == 0x09 + && C1.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C > 10^(q-21) * 0x9fffffffffffffff6 max 44 bits x 68 bits + C.w[1] = 0x09; + C.w[0] = 0xfffffffffffffff6ull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] || (C1.w[1] == C.w[1] && C1.w[0] > C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n <= 2^64 - 1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 or 1 + if (x_sign) + res = 0x0000000000000000ull; + else + res = 0x0000000000000001ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64 so if positive x can be rounded + // to zero to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x <= 2^64 - 1 so x can be rounded + // to zero to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // if the result is positive and inexact, need to add 1 to it + + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + if (!x_sign) { // positive and inexact + Cstar.w[0]++; + if (Cstar.w[0] == 0x0) + Cstar.w[1]++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_int + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, bid128_to_uint64_int, + x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n <= -1 then n cannot be converted to uint64 with RZ + // too large if c(0)c(1)...c(19).c(20)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 >= 0x0a, 1<=q<=34 + // <=> C * 10^(21-q) >= 0x0a, 1<=q<=34 + if (q == 21) { + // C >= a + if (C1.w[1] != 0 || C1.w[0] >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) >= a is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= a * 10^(q-21) is true because C > 2^64 and a*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*2^65 + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0xa0000000000000000 + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C >= 0x10000000000000000 + if (C1.w[1] >= 0x01) { + // actually C1.w[1] == 0x01 && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0xa0000000000000000 + if (C1.w[1] >= 0x0a) { + // actually C1.w[1] == 0x0a && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0xa0000000000000000 max 44 bits x 68 bits + C.w[1] = 0x0a; + C.w[0] = 0x0000000000000000ull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64 so if positive x can be rounded + // to zero to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64 so x can be rounded + // to zero to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_xint + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, bid128_to_uint64_xint, + x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n <= -1 then n cannot be converted to uint64 with RZ + // too large if c(0)c(1)...c(19).c(20)...c(q-1) >= 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 >= 0x0a, 1<=q<=34 + // <=> C * 10^(21-q) >= 0x0a, 1<=q<=34 + if (q == 21) { + // C >= a + if (C1.w[1] != 0 || C1.w[0] >= 0x0aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) >= a is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= a * 10^(q-21) is true because C > 2^64 and a*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*2^65 + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0xa0000000000000000 + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C >= 0x10000000000000000 + if (C1.w[1] >= 0x01) { + // actually C1.w[1] == 0x01 && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0xa0000000000000000 + if (C1.w[1] >= 0x0a) { + // actually C1.w[1] == 0x0a && C1.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0xa0000000000000000 max 44 bits x 68 bits + C.w[1] = 0x0a; + C.w[0] = 0x0000000000000000ull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64 so if positive x can be rounded + // to zero to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64 so x can be rounded + // to zero to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[2] || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 22 <= ind <= 33 + if (fstar.w[3] || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_rninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_rninta, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n <= -1/2 then n cannot be converted to uint64 with RN + // too large if c(0)c(1)...c(19).c(20)...c(q-1) >= 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 >= 0x05, 1<=q<=34 + // <=> C * 10^(21-q) >= 0x05, 1<=q<=34 + if (q == 21) { + // C >= 5 + if (C1.w[1] != 0 || C1.w[0] >= 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) >= 5 is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 5 * 10^(q-21) is true because C > 2^64 and 5*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0x9fffffffffffffffb + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C * 10 >= 0x9fffffffffffffffb <=> C * 2 > 1ffffffffffffffff + C.w[0] = C1.w[0] + C1.w[0]; + C.w[1] = C1.w[1] + C1.w[1]; + if (C.w[0] < C1.w[0]) + C.w[1]++; + if (C.w[1] > 0x01 || (C.w[1] == 0x01 + && C.w[0] >= 0xffffffffffffffffull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0x9fffffffffffffffb + if (C1.w[1] > 0x09 || (C1.w[1] == 0x09 + && C1.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0x9fffffffffffffffb max 44 bits x 68 bits + C.w[1] = 0x09; + C.w[0] = 0xfffffffffffffffbull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 < n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + + // if the result was a midpoint it was rounded away from zero + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} + +/***************************************************************************** + * BID128_to_uint64_xrninta + ****************************************************************************/ + +BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE (UINT64, + bid128_to_uint64_xrninta, x) + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + UINT64 tmp64, tmp64A; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT128 C1, C; + UINT128 Cstar; // C* represents up to 34 decimal digits ~ 113 bits + UINT256 fstar; + UINT256 P256; + + // unpack x +x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative +x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bit positions +C1.w[1] = x.w[1] & MASK_COEFF; +C1.w[0] = x.w[0]; + + // check for NaN or Infinity +if ((x.w[1] & MASK_SPECIAL) == MASK_SPECIAL) { + // x is special +if ((x.w[1] & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x.w[1] & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is QNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} else { // x is not a NaN, so it must be infinity + if (!x_sign) { // x is +inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } else { // x is -inf + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + } + BID_RETURN (res); +} +} + // check for non-canonical values (after the check for special values) +if ((C1.w[1] > 0x0001ed09bead87c0ull) + || (C1.w[1] == 0x0001ed09bead87c0ull + && (C1.w[0] > 0x378d8e63ffffffffull)) + || ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull)) { + res = 0x0000000000000000ull; + BID_RETURN (res); +} else if ((C1.w[1] == 0x0ull) && (C1.w[0] == 0x0ull)) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); +} else { // x is not special and is not zero + + // q = nr. of decimal digits in x + // determine first the nr. of bits in x + if (C1.w[1] == 0) { + if (C1.w[0] >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1.w[0] >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1.w[0] >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) (C1.w[0]); // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1.w[0]; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // C1.w[1] != 0 => nr. bits = 64 + nr_bits (C1.w[1]) + tmp1.d = (double) C1.w[1]; // exact conversion + x_nr_bits = + 65 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1.w[1] > nr_digits[x_nr_bits - 1].threshold_hi + || (C1.w[1] == nr_digits[x_nr_bits - 1].threshold_hi + && C1.w[0] >= nr_digits[x_nr_bits - 1].threshold_lo)) + q++; + } + exp = (x_exp >> 49) - 6176; + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 + // if n <= -1/2 then n cannot be converted to uint64 with RN + // too large if c(0)c(1)...c(19).c(20)...c(q-1) >= 1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^21 >= 0x05, 1<=q<=34 + // <=> C * 10^(21-q) >= 0x05, 1<=q<=34 + if (q == 21) { + // C >= 5 + if (C1.w[1] != 0 || C1.w[0] >= 0x05ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to 64-bit unsigned int fall through + // to '1 <= q + exp <= 20' + } else { + // if 1 <= q <= 20 + // C * 10^(21-q) >= 5 is true because C >= 1 and 10^(21-q) >= 10 + // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 5 * 10^(q-21) is true because C > 2^64 and 5*10^(q-21) < 2^64 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=34 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1.w[0], ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q <= 19) { + // C * 10^(21-q) >= 0x9fffffffffffffffb + __mul_64x64_to_128MACH (C, C1.w[0], ten2k64[21 - q]); + if (C.w[1] > 0x09 || (C.w[1] == 0x09 + && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 20) { + // C * 10 >= 0x9fffffffffffffffb <=> C * 2 > 1ffffffffffffffff + C.w[0] = C1.w[0] + C1.w[0]; + C.w[1] = C1.w[1] + C1.w[1]; + if (C.w[0] < C1.w[0]) + C.w[1]++; + if (C.w[1] > 0x01 || (C.w[1] == 0x01 + && C.w[0] >= 0xffffffffffffffffull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else if (q == 21) { + // C >= 0x9fffffffffffffffb + if (C1.w[1] > 0x09 || (C1.w[1] == 0x09 + && C1.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if 22 <= q <= 34 => 1 <= q - 21 <= 13 + // C >= 10^(q-21) * 0x9fffffffffffffffb max 44 bits x 68 bits + C.w[1] = 0x09; + C.w[0] = 0xfffffffffffffffbull; + __mul_128x64_to_128 (C, ten2k64[q - 21], C); + if (C1.w[1] > C.w[1] + || (C1.w[1] == C.w[1] && C1.w[0] >= C.w[0])) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 < n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (ind <= 18) { // 0 <= ind <= 18 + if ((C1.w[1] == 0) && (C1.w[0] < midpoint64[ind])) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x8000000000000000ull; + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } else { // 19 <= ind <= 33 + if ((C1.w[1] < midpoint128[ind - 19].w[1]) + || ((C1.w[1] == midpoint128[ind - 19].w[1]) + && (C1.w[0] < midpoint128[ind - 19].w[0]))) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x00000001; // return +1 + } else { + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 20, 1 <= q <= 34, -33 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 34, -33 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 33; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 127 bits + tmp64 = C1.w[0]; + if (ind <= 19) { + C1.w[0] = C1.w[0] + midpoint64[ind - 1]; + } else { + C1.w[0] = C1.w[0] + midpoint128[ind - 20].w[0]; + C1.w[1] = C1.w[1] + midpoint128[ind - 20].w[1]; + } + if (C1.w[0] < tmp64) + C1.w[1]++; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 33 + // kx = 10^(-x) = ten2mk128[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 118 bits + __mul_128x128_to_256 (P256, C1, ten2mk128[ind - 1]); + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[1] = P256.w[3]; + Cstar.w[0] = P256.w[2]; + fstar.w[3] = 0; + fstar.w[2] = P256.w[2] & maskhigh128[ind - 1]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } else { // 22 <= ind - 1 <= 33 + Cstar.w[1] = 0; + Cstar.w[0] = P256.w[3]; + fstar.w[3] = P256.w[3] & maskhigh128[ind - 1]; + fstar.w[2] = P256.w[2]; + fstar.w[1] = P256.w[1]; + fstar.w[0] = P256.w[0]; + } + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind], e.g. + // if x=1, T*=ten2mk128trunc[0]=0x19999999999999999999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-128 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 102 + if (ind - 1 <= 21) { // 0 <= ind - 1 <= 21 + Cstar.w[0] = + (Cstar.w[0] >> shift) | (Cstar.w[1] << (64 - shift)); + // redundant, it will be 0! Cstar.w[1] = (Cstar.w[1] >> shift); + } else { // 22 <= ind - 1 <= 33 + Cstar.w[0] = (Cstar.w[0] >> (shift - 64)); // 2 <= shift - 64 <= 38 + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[1] > 0x8000000000000000ull || + (fstar.w[1] == 0x8000000000000000ull + && fstar.w[0] > 0x0ull)) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[1] - 0x8000000000000000ull; // f* - 1/2 + if (tmp64 > ten2mk128trunc[ind - 1].w[1] + || (tmp64 == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] >= ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else if (ind - 1 <= 21) { // if 3 <= ind <= 21 + if (fstar.w[3] > 0x0 || + (fstar.w[3] == 0x0 && fstar.w[2] > onehalf128[ind - 1]) || + (fstar.w[3] == 0x0 && fstar.w[2] == onehalf128[ind - 1] && + (fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[2] - onehalf128[ind - 1]; + tmp64A = fstar.w[3]; + if (tmp64 > fstar.w[2]) + tmp64A--; + if (tmp64A || tmp64 + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 22 <= ind <= 33 + if (fstar.w[3] > onehalf128[ind - 1] || + (fstar.w[3] == onehalf128[ind - 1] && + (fstar.w[2] || fstar.w[1] || fstar.w[0]))) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[3] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[2] + || fstar.w[1] > ten2mk128trunc[ind - 1].w[1] + || (fstar.w[1] == ten2mk128trunc[ind - 1].w[1] + && fstar.w[0] > ten2mk128trunc[ind - 1].w[0])) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero + res = Cstar.w[0]; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 20, but x < 2^64 - 1/2 so in this case C1.w[1] has to be 0 + // res = C (exact) + res = C1.w[0]; + } else { + // if (exp > 0) => 1 <= exp <= 19, 1 <= q < 19, 2 <= q + exp <= 20 + // res = C * 10^exp (exact) - must fit in 64 bits + res = C1.w[0] * ten2k64[exp]; + } + } +} + +BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint8.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint8.c new file mode 100644 index 0000000000..11ede91d01 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid128_to_uint8.c @@ -0,0 +1,67 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffffff00 +#define INVALID_RESULT 0x80 + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_rnint, + UINT128, x, bid128_to_uint32_rnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_xrnint, + UINT128, x, bid128_to_uint32_xrnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_rninta, + UINT128, x, bid128_to_uint32_rninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_xrninta, + UINT128, x, bid128_to_uint32_xrninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_int, + UINT128, x, bid128_to_uint32_int, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_xint, + UINT128, x, bid128_to_uint32_xint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_floor, + UINT128, x, bid128_to_uint32_floor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_ceil, + UINT128, x, bid128_to_uint32_ceil, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_xfloor, + UINT128, x, bid128_to_uint32_xfloor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid128_to_uint8_xceil, + UINT128, x, bid128_to_uint32_xceil, + unsigned int, SIZE_MASK, INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid32_to_bid128.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid32_to_bid128.c new file mode 100644 index 0000000000..c8edbddbe6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid32_to_bid128.c @@ -0,0 +1,264 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +/* + * Takes a BID32 as input and converts it to a BID128 and returns it. + */ +TYPE0_FUNCTION_ARGTYPE1_NORND (UINT128, bid32_to_bid128, UINT32, x) + + UINT128 new_coeff, res; + UINT32 sign_x; + int exponent_x; + UINT32 coefficient_x; + +if (!unpack_BID32 (&sign_x, &exponent_x, &coefficient_x, x)) { +if (((x) & 0x78000000) == 0x78000000) { +#ifdef SET_STATUS_FLAGS + if (((x) & 0x7e000000) == 0x7e000000) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (coefficient_x & 0x000fffff); + __mul_64x128_low (res, res.w[0], power10_table_128[27]); + res.w[1] |= + ((((UINT64) coefficient_x) << 32) & 0xfc00000000000000ull); + + BID_RETURN (res); +} +} + +new_coeff.w[0] = coefficient_x; +new_coeff.w[1] = 0; +get_BID128_very_fast (&res, ((UINT64) sign_x) << 32, + exponent_x + DECIMAL_EXPONENT_BIAS_128 - + DECIMAL_EXPONENT_BIAS_32, new_coeff); +BID_RETURN (res); +} // convert_bid32_to_bid128 + + +/* + * Takes a BID128 as input and converts it to a BID32 and returns it. + */ +#if DECIMAL_CALL_BY_REFERENCE + +void +bid128_to_bid32 (UINT32 * pres, + UINT128 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px; +#else + +UINT32 +bid128_to_bid32 (UINT128 x _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CX, T128, TP128, Qh, Ql, Qh1, Stemp, Tmp, Tmp1, CX1; + UINT64 sign_x, carry, cy; + SINT64 D; + UINT32 res; + int_float f64, fx; + int exponent_x, extra_digits, amount, bin_expon_cx, uf_check = 0; + unsigned rmode, status; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + BID_SWAP128 (x); + // unpack arguments, check for NaN or Infinity or 0 + if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + if (((x.w[1]) & 0x7800000000000000ull) == 0x7800000000000000ull) { + Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CX.w[0]; + TP128 = reciprocals10_128[27]; + __mul_128x128_full (Qh, Ql, Tmp, TP128); + amount = recip_scale[27] - 64; + res = ((CX.w[1] >> 32) & 0xfc000000) | (Qh.w[1] >> amount); +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN_VAL (res); + } + // x is 0 + exponent_x = + exponent_x - DECIMAL_EXPONENT_BIAS_128 + DECIMAL_EXPONENT_BIAS_32; + if (exponent_x < 0) + exponent_x = 0; + if (exponent_x > DECIMAL_MAX_EXPON_32) + exponent_x = DECIMAL_MAX_EXPON_32; + res = (sign_x >> 32) | (exponent_x << 23); + BID_RETURN_VAL (res); + + } + + if (CX.w[1] || (CX.w[0] >= 10000000)) { + // find number of digits in coefficient + // 2^64 + f64.i = 0x5f800000; + // fx ~ CX + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; + extra_digits = estimate_decimal_digits[bin_expon_cx] - 7; + // scale = 38-estimate_decimal_digits[bin_expon_cx]; + D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; + if (D > 0 + || (!D + && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) + extra_digits++; + + exponent_x += extra_digits; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + if (exponent_x < + DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS_32) { + uf_check = 1; + if (-extra_digits + exponent_x - DECIMAL_EXPONENT_BIAS_128 + + DECIMAL_EXPONENT_BIAS_32 + 35 >= 0) { + if (exponent_x == + DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS_32 - 1) { + T128 = round_const_table_128[rmode][extra_digits]; + __add_carry_out (CX1.w[0], carry, T128.w[0], CX.w[0]); + CX1.w[1] = CX.w[1] + T128.w[1] + carry; + if (__unsigned_compare_ge_128 + (CX1, power10_table_128[extra_digits + 7])) + uf_check = 0; + } + extra_digits = + extra_digits + DECIMAL_EXPONENT_BIAS_128 - + DECIMAL_EXPONENT_BIAS_32 - exponent_x; + exponent_x = + DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS_32; + } else + rmode = ROUNDING_TO_ZERO; + } + + T128 = round_const_table_128[rmode][extra_digits]; + __add_carry_out (CX.w[0], carry, T128.w[0], CX.w[0]); + CX.w[1] = CX.w[1] + T128.w[1] + carry; + + TP128 = reciprocals10_128[extra_digits]; + __mul_128x128_full (Qh, Ql, CX, TP128); + amount = recip_scale[extra_digits]; + + if (amount >= 64) { + CX.w[0] = Qh.w[1] >> (amount - 64); + CX.w[1] = 0; + } else { + __shr_128 (CX, Qh, amount); + } + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (!(rnd_mode)) +#endif + if (CX.w[0] & 1) { + // check whether fractional part of initial_P/10^ed1 is exactly .5 + + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + if (!Qh1.w[1] && !Qh1.w[0] + && (Ql.w[1] < reciprocals10_128[extra_digits].w[1] + || (Ql.w[1] == reciprocals10_128[extra_digits].w[1] + && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) { + CX.w[0]--; + } + } +#endif + + + { + status = INEXACT_EXCEPTION; + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (Qh1.w[1] == 0x8000000000000000ull && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[extra_digits].w[1] + || (Ql.w[1] == reciprocals10_128[extra_digits].w[1] + && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if ((!Qh1.w[1]) && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[extra_digits].w[1] + || (Ql.w[1] == reciprocals10_128[extra_digits].w[1] + && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], cy, Ql.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Ql.w[1], + reciprocals10_128[extra_digits].w[1], cy); + __shr_128_long (Qh, Qh1, (128 - amount)); + Tmp.w[0] = 1; + Tmp.w[1] = 0; + __shl_128_long (Tmp1, Tmp, amount); + Qh.w[0] += carry; + if (Qh.w[0] < carry) + Qh.w[1]++; + if (__unsigned_compare_ge_128 (Qh, Tmp1)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) { + if (uf_check) { + status |= UNDERFLOW_EXCEPTION; + } +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, status); +#endif + } + } + + } + + res = + get_BID32 ((UINT32) (sign_x >> 32), + exponent_x - DECIMAL_EXPONENT_BIAS_128 + + DECIMAL_EXPONENT_BIAS_32, CX.w[0], rnd_mode, pfpsf); + BID_RETURN_VAL (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid32_to_bid64.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid32_to_bid64.c new file mode 100644 index 0000000000..c475100cc2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid32_to_bid64.c @@ -0,0 +1,216 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/* + * Takes a BID32 as input and converts it to a BID64 and returns it. + */ +TYPE0_FUNCTION_ARGTYPE1_NORND (UINT64, bid32_to_bid64, UINT32, x) + + UINT64 res; + UINT32 sign_x; + int exponent_x; + UINT32 coefficient_x; + +if (!unpack_BID32 (&sign_x, &exponent_x, &coefficient_x, x)) { + // Inf, NaN, 0 +if (((x) & 0x78000000) == 0x78000000) { + if (((x) & 0x7e000000) == 0x7e000000) { // sNaN +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + } + res = (coefficient_x & 0x000fffff); + res *= 1000000000; + res |= ((((UINT64) coefficient_x) << 32) & 0xfc00000000000000ull); + + BID_RETURN (res); +} +} + +res = +very_fast_get_BID64_small_mantissa (((UINT64) sign_x) << 32, + exponent_x + + DECIMAL_EXPONENT_BIAS - + DECIMAL_EXPONENT_BIAS_32, + (UINT64) coefficient_x); +BID_RETURN (res); +} // convert_bid32_to_bid64 + + +/* + * Takes a BID64 as input and converts it to a BID32 and returns it. + */ +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_to_bid32 (UINT32 * pres, + UINT64 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x; +#else + +UINT32 +bid64_to_bid32 (UINT64 x _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 Q; + UINT64 sign_x, coefficient_x, remainder_h, carry, Stemp; + UINT32 res; + int_float tempx; + int exponent_x, bin_expon_cx, extra_digits, rmode = 0, amount; + unsigned status = 0; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; +#endif + + // unpack arguments, check for NaN or Infinity, 0 + if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) { + if (((x) & 0x7800000000000000ull) == 0x7800000000000000ull) { + res = (coefficient_x & 0x0003ffffffffffffull); + res /= 1000000000ull; + res |= ((coefficient_x >> 32) & 0xfc000000); +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res); + } + exponent_x = + exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_32; + if (exponent_x < 0) + exponent_x = 0; + if (exponent_x > DECIMAL_MAX_EXPON_32) + exponent_x = DECIMAL_MAX_EXPON_32; + res = (sign_x >> 32) | (exponent_x << 23); + BID_RETURN (res); + } + + exponent_x = + exponent_x - DECIMAL_EXPONENT_BIAS + DECIMAL_EXPONENT_BIAS_32; + + // check number of digits + if (coefficient_x >= 10000000) { + tempx.d = (float) coefficient_x; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; + extra_digits = estimate_decimal_digits[bin_expon_cx] - 7; + // add test for range + if (coefficient_x >= power10_index_binexp[bin_expon_cx]) + extra_digits++; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + + exponent_x += extra_digits; + if ((exponent_x < 0) && (exponent_x + MAX_FORMAT_DIGITS_32 >= 0)) { + status = UNDERFLOW_EXCEPTION; + if (exponent_x == -1) + if (coefficient_x + round_const_table[rmode][extra_digits] >= + power10_table_128[extra_digits + 7].w[0]) + status = 0; + extra_digits -= exponent_x; + exponent_x = 0; + } + coefficient_x += round_const_table[rmode][extra_digits]; + __mul_64x64_to_128 (Q, coefficient_x, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + + coefficient_x = Q.w[1] >> amount; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (coefficient_x & 1) { + // check whether fractional part of initial_P/10^extra_digits + // is exactly .5 + + // get remainder + remainder_h = Q.w[1] << (64 - amount); + + if (!remainder_h && (Q.w[0] < reciprocals10_64[extra_digits])) + coefficient_x--; + } +#endif + +#ifdef SET_STATUS_FLAGS + + { + status |= INEXACT_EXCEPTION; + // get remainder + remainder_h = Q.w[1] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h && (Q.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp, carry, Q.w[0], + reciprocals10_64[extra_digits]); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (pfpsf, status); + } + +#endif + + } + + res = + get_BID32 ((UINT32) (sign_x >> 32), + exponent_x, coefficient_x, rnd_mode, pfpsf); + BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_add.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_add.c new file mode 100644 index 0000000000..e850767a4b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_add.c @@ -0,0 +1,595 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID64 add + ***************************************************************************** + * + * Algorithm description: + * + * if(exponent_a < exponent_b) + * switch a, b + * diff_expon = exponent_a - exponent_b + * if(diff_expon > 16) + * return normalize(a) + * if(coefficient_a*10^diff_expon guaranteed below 2^62) + * S = sign_a*coefficient_a*10^diff_expon + sign_b*coefficient_b + * if(|S|<10^16) + * return get_BID64(sign(S),exponent_b,|S|) + * else + * determine number of extra digits in S (1, 2, or 3) + * return rounded result + * else // large exponent difference + * if(number_digits(coefficient_a*10^diff_expon) +/- 10^16) + * guaranteed the same as + * number_digits(coefficient_a*10^diff_expon) ) + * S = normalize(coefficient_a + (sign_a^sign_b)*10^(16-diff_expon)) + * corr = 10^16 + (sign_a^sign_b)*coefficient_b + * corr*10^exponent_b is rounded so it aligns with S*10^exponent_S + * return get_BID64(sign_a,exponent(S),S+rounded(corr)) + * else + * add sign_a*coefficient_a*10^diff_expon, sign_b*coefficient_b + * in 128-bit integer arithmetic, then round to 16 decimal digits + * + * + ****************************************************************************/ + +#include "bid_internal.h" + +#if DECIMAL_CALL_BY_REFERENCE +void bid64_add (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); +#else +UINT64 bid64_add (UINT64 x, + UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); +#endif + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_sub (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 y = *py; +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + // check if y is not NaN + if (((y & NAN_MASK64) != NAN_MASK64)) + y ^= 0x8000000000000000ull; + bid64_add (pres, px, + &y _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +} +#else + +UINT64 +bid64_sub (UINT64 x, + UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + // check if y is not NaN + if (((y & NAN_MASK64) != NAN_MASK64)) + y ^= 0x8000000000000000ull; + + return bid64_add (x, + y _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +} +#endif + + + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_add (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x, y; +#else + +UINT64 +bid64_add (UINT64 x, + UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT128 CA, CT, CT_new; + UINT64 sign_x, sign_y, coefficient_x, coefficient_y, C64_new; + UINT64 valid_x, valid_y; + UINT64 res; + UINT64 sign_a, sign_b, coefficient_a, coefficient_b, sign_s, sign_ab, + rem_a; + UINT64 saved_ca, saved_cb, C0_64, C64, remainder_h, T1, carry, tmp; + int_double tempx; + int exponent_x, exponent_y, exponent_a, exponent_b, diff_dec_expon; + int bin_expon_ca, extra_digits, amount, scale_k, scale_ca; + unsigned rmode, status; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; + y = *py; +#endif + + valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x); + valid_y = unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y); + + // unpack arguments, check for NaN or Infinity + if (!valid_x) { + // x is Inf. or NaN + + // test if x is NaN + if ((x & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if (((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + || ((y & SNAN_MASK64) == SNAN_MASK64)) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = coefficient_x & QUIET_MASK64; + BID_RETURN (res); + } + // x is Infinity? + if ((x & INFINITY_MASK64) == INFINITY_MASK64) { + // check if y is Inf + if (((y & NAN_MASK64) == INFINITY_MASK64)) { + if (sign_x == (y & 0x8000000000000000ull)) { + res = coefficient_x; + BID_RETURN (res); + } + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = NAN_MASK64; + BID_RETURN (res); + } + } + // check if y is NaN + if (((y & NAN_MASK64) == NAN_MASK64)) { + res = coefficient_y & QUIET_MASK64; +#ifdef SET_STATUS_FLAGS + if (((y & SNAN_MASK64) == SNAN_MASK64)) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res); + } + // otherwise return +/-Inf + { + res = coefficient_x; + BID_RETURN (res); + } + } + // x is 0 + { + if (((y & INFINITY_MASK64) != INFINITY_MASK64) && coefficient_y) { + if (exponent_y <= exponent_x) { + res = y; + BID_RETURN (res); + } + } + } + + } + if (!valid_y) { + // y is Inf. or NaN? + if (((y & INFINITY_MASK64) == INFINITY_MASK64)) { +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = coefficient_y & QUIET_MASK64; + BID_RETURN (res); + } + // y is 0 + if (!coefficient_x) { // x==0 + if (exponent_x <= exponent_y) + res = ((UINT64) exponent_x) << 53; + else + res = ((UINT64) exponent_y) << 53; + if (sign_x == sign_y) + res |= sign_x; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rnd_mode == ROUNDING_DOWN && sign_x != sign_y) + res |= 0x8000000000000000ull; +#endif +#endif + BID_RETURN (res); + } else if (exponent_y >= exponent_x) { + res = x; + BID_RETURN (res); + } + } + // sort arguments by exponent + if (exponent_x < exponent_y) { + sign_a = sign_y; + exponent_a = exponent_y; + coefficient_a = coefficient_y; + sign_b = sign_x; + exponent_b = exponent_x; + coefficient_b = coefficient_x; + } else { + sign_a = sign_x; + exponent_a = exponent_x; + coefficient_a = coefficient_x; + sign_b = sign_y; + exponent_b = exponent_y; + coefficient_b = coefficient_y; + } + + // exponent difference + diff_dec_expon = exponent_a - exponent_b; + + /* get binary coefficients of x and y */ + + //--- get number of bits in the coefficients of x and y --- + + // version 2 (original) + tempx.d = (double) coefficient_a; + bin_expon_ca = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + + if (diff_dec_expon > MAX_FORMAT_DIGITS) { + // normalize a to a 16-digit coefficient + + scale_ca = estimate_decimal_digits[bin_expon_ca]; + if (coefficient_a >= power10_table_128[scale_ca].w[0]) + scale_ca++; + + scale_k = 16 - scale_ca; + + coefficient_a *= power10_table_128[scale_k].w[0]; + + diff_dec_expon -= scale_k; + exponent_a -= scale_k; + + /* get binary coefficients of x and y */ + + //--- get number of bits in the coefficients of x and y --- + tempx.d = (double) coefficient_a; + bin_expon_ca = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + + if (diff_dec_expon > MAX_FORMAT_DIGITS) { +#ifdef SET_STATUS_FLAGS + if (coefficient_b) { + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (((rnd_mode) & 3) && coefficient_b) // not ROUNDING_TO_NEAREST + { + switch (rnd_mode) { + case ROUNDING_DOWN: + if (sign_b) { + coefficient_a -= ((((SINT64) sign_a) >> 63) | 1); + if (coefficient_a < 1000000000000000ull) { + exponent_a--; + coefficient_a = 9999999999999999ull; + } else if (coefficient_a >= 10000000000000000ull) { + exponent_a++; + coefficient_a = 1000000000000000ull; + } + } + break; + case ROUNDING_UP: + if (!sign_b) { + coefficient_a += ((((SINT64) sign_a) >> 63) | 1); + if (coefficient_a < 1000000000000000ull) { + exponent_a--; + coefficient_a = 9999999999999999ull; + } else if (coefficient_a >= 10000000000000000ull) { + exponent_a++; + coefficient_a = 1000000000000000ull; + } + } + break; + default: // RZ + if (sign_a != sign_b) { + coefficient_a--; + if (coefficient_a < 1000000000000000ull) { + exponent_a--; + coefficient_a = 9999999999999999ull; + } + } + break; + } + } else +#endif +#endif + // check special case here + if ((coefficient_a == 1000000000000000ull) + && (diff_dec_expon == MAX_FORMAT_DIGITS + 1) + && (sign_a ^ sign_b) + && (coefficient_b > 5000000000000000ull)) { + coefficient_a = 9999999999999999ull; + exponent_a--; + } + + res = + fast_get_BID64_check_OF (sign_a, exponent_a, coefficient_a, + rnd_mode, pfpsf); + BID_RETURN (res); + } + } + // test whether coefficient_a*10^(exponent_a-exponent_b) may exceed 2^62 + if (bin_expon_ca + estimate_bin_expon[diff_dec_expon] < 60) { + // coefficient_a*10^(exponent_a-exponent_b)<2^63 + + // multiply by 10^(exponent_a-exponent_b) + coefficient_a *= power10_table_128[diff_dec_expon].w[0]; + + // sign mask + sign_b = ((SINT64) sign_b) >> 63; + // apply sign to coeff. of b + coefficient_b = (coefficient_b + sign_b) ^ sign_b; + + // apply sign to coefficient a + sign_a = ((SINT64) sign_a) >> 63; + coefficient_a = (coefficient_a + sign_a) ^ sign_a; + + coefficient_a += coefficient_b; + // get sign + sign_s = ((SINT64) coefficient_a) >> 63; + coefficient_a = (coefficient_a + sign_s) ^ sign_s; + sign_s &= 0x8000000000000000ull; + + // coefficient_a < 10^16 ? + if (coefficient_a < power10_table_128[MAX_FORMAT_DIGITS].w[0]) { +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rnd_mode == ROUNDING_DOWN && (!coefficient_a) + && sign_a != sign_b) + sign_s = 0x8000000000000000ull; +#endif +#endif + res = very_fast_get_BID64 (sign_s, exponent_b, coefficient_a); + BID_RETURN (res); + } + // otherwise rounding is necessary + + // already know coefficient_a<10^19 + // coefficient_a < 10^17 ? + if (coefficient_a < power10_table_128[17].w[0]) + extra_digits = 1; + else if (coefficient_a < power10_table_128[18].w[0]) + extra_digits = 2; + else + extra_digits = 3; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_s && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + coefficient_a += round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_a, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C64 = CT.w[1] >> amount; + + } else { + // coefficient_a*10^(exponent_a-exponent_b) is large + sign_s = sign_a; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_s && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + + // check whether we can take faster path + scale_ca = estimate_decimal_digits[bin_expon_ca]; + + sign_ab = sign_a ^ sign_b; + sign_ab = ((SINT64) sign_ab) >> 63; + + // T1 = 10^(16-diff_dec_expon) + T1 = power10_table_128[16 - diff_dec_expon].w[0]; + + // get number of digits in coefficient_a + if (coefficient_a >= power10_table_128[scale_ca].w[0]) { + scale_ca++; + } + + scale_k = 16 - scale_ca; + + // addition + saved_ca = coefficient_a - T1; + coefficient_a = + (SINT64) saved_ca *(SINT64) power10_table_128[scale_k].w[0]; + extra_digits = diff_dec_expon - scale_k; + + // apply sign + saved_cb = (coefficient_b + sign_ab) ^ sign_ab; + // add 10^16 and rounding constant + coefficient_b = + saved_cb + 10000000000000000ull + + round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_b, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C0_64 = CT.w[1] >> amount; + + // result coefficient + C64 = C0_64 + coefficient_a; + // filter out difficult (corner) cases + // this test ensures the number of digits in coefficient_a does not change + // after adding (the appropriately scaled and rounded) coefficient_b + if ((UINT64) (C64 - 1000000000000000ull - 1) > + 9000000000000000ull - 2) { + if (C64 >= 10000000000000000ull) { + // result has more than 16 digits + if (!scale_k) { + // must divide coeff_a by 10 + saved_ca = saved_ca + T1; + __mul_64x64_to_128 (CA, saved_ca, 0x3333333333333334ull); + //reciprocals10_64[1]); + coefficient_a = CA.w[1] >> 1; + rem_a = + saved_ca - (coefficient_a << 3) - (coefficient_a << 1); + coefficient_a = coefficient_a - T1; + + saved_cb += rem_a * power10_table_128[diff_dec_expon].w[0]; + } else + coefficient_a = + (SINT64) (saved_ca - T1 - + (T1 << 3)) * (SINT64) power10_table_128[scale_k - + 1].w[0]; + + extra_digits++; + coefficient_b = + saved_cb + 100000000000000000ull + + round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_b, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C0_64 = CT.w[1] >> amount; + + // result coefficient + C64 = C0_64 + coefficient_a; + } else if (C64 <= 1000000000000000ull) { + // less than 16 digits in result + coefficient_a = + (SINT64) saved_ca *(SINT64) power10_table_128[scale_k + + 1].w[0]; + //extra_digits --; + exponent_b--; + coefficient_b = + (saved_cb << 3) + (saved_cb << 1) + 100000000000000000ull + + round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT_new, coefficient_b, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C0_64 = CT_new.w[1] >> amount; + + // result coefficient + C64_new = C0_64 + coefficient_a; + if (C64_new < 10000000000000000ull) { + C64 = C64_new; +#ifdef SET_STATUS_FLAGS + CT = CT_new; +#endif + } else + exponent_b++; + } + + } + + } + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits is + // exactly .5 + // this is the same as fractional part of + // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero + + // get remainder + remainder_h = CT.w[1] << (64 - amount); + + // test whether fractional part is 0 + if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status = INEXACT_EXCEPTION; + + // get remainder + remainder_h = CT.w[1] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if ((remainder_h == 0x8000000000000000ull) + && (CT.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + //if(!C64 && rmode==ROUNDING_DOWN) sign_s=sign_y; + break; + default: + // round up + __add_carry_out (tmp, carry, CT.w[0], + reciprocals10_64[extra_digits]); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + break; + } + __set_status_flags (pfpsf, status); + +#endif + + res = + fast_get_BID64_check_OF (sign_s, exponent_b + extra_digits, C64, + rnd_mode, pfpsf); + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_compare.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_compare.c new file mode 100644 index 0000000000..7c179efcc5 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_compare.c @@ -0,0 +1,3172 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +static const UINT64 mult_factor[16] = { + 1ull, 10ull, 100ull, 1000ull, + 10000ull, 100000ull, 1000000ull, 10000000ull, + 100000000ull, 1000000000ull, 10000000000ull, 100000000000ull, + 1000000000000ull, 10000000000000ull, + 100000000000000ull, 1000000000000000ull +}; + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y, exp_t; + UINT64 sig_x, sig_y, sig_t; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y, lcv; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equivalent. + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if (((x & MASK_INF) == MASK_INF) && ((y & MASK_INF) == MASK_INF)) { + res = (((x ^ y) & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // ONE INFINITY (CASE3') + if (((x & MASK_INF) == MASK_INF) || ((y & MASK_INF) == MASK_INF)) { + res = 0; + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } else if ((x_is_zero && !y_is_zero) || (!x_is_zero && y_is_zero)) { + res = 0; + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ => not equal : return 0 + if ((x ^ y) & MASK_SIGN) { + res = 0; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + if (exp_x > exp_y) { // to simplify the loop below, + SWAP (exp_x, exp_y, exp_t); // put the larger exp in y, + SWAP (sig_x, sig_y, sig_t); // and the smaller exp in x + } + if (exp_y - exp_x > 15) { + res = 0; // difference cannot be greater than 10^15 + BID_RETURN (res); + } + for (lcv = 0; lcv < (exp_y - exp_x); lcv++) { + // recalculate y's significand upwards + sig_y = sig_y * 10; + if (sig_y > 9999999999999999ull) { + res = 0; + BID_RETURN (res); + } + } + res = (sig_y == sig_x); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, rather than equal : + // return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } else { + // x is pos infinity, it is greater, unless y is positive + // infinity => return y!=pos_infinity + res = (((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + //(+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + //(ZERO x 10^A == ZERO x 10^B) for any valid A, B => therefore ignore the + // exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, neither is greater => return NOTGREATERTHAN + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } else if (x_is_zero) { + // is x is zero, it is greater if Y is negative + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else if (y_is_zero) { + // is y is zero, X is greater if it is positive + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x > exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x < exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { // difference cannot be greater than 10^15 + if (x & MASK_SIGN) // if both are negative + res = 0; + else // if both are positive + res = 1; + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + if (x & MASK_SIGN) // if both are negative + res = 1; + else // if both are positive + res = 0; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // if postitive, return whichever significand is larger (converse if neg.) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] > 0) + || sig_n_prime.w[0] > sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] == 0) + && (sig_x > sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_greater_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_greater_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 1 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) { + // x is -inf, so it is less than y unless y is -inf + res = (((y & MASK_INF) == MASK_INF) + && (y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else { // x is pos_inf, no way for it to be less than y + res = 1; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + if (x_is_zero && y_is_zero) { + // if both numbers are zero, they are equal + res = 1; + BID_RETURN (res); + } else if (x_is_zero) { + // if x is zero, it is lessthan if Y is positive + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else if (y_is_zero) { + // if y is zero, X is less if it is negative + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_greater_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_greater_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, rather than equal : + // return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } else { + // x is pos infinity, it is greater, unless y is positive infinity => + // return y!=pos_infinity + res = (((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, neither is greater => return NOTGREATERTHAN + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } else if (x_is_zero) { + // is x is zero, it is greater if Y is negative + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else if (y_is_zero) { + // is y is zero, X is greater if it is positive + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + // difference cannot be greater than 10^15 + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] > 0) + || sig_n_prime.w[0] > sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + // if postitive, return whichever significand is larger (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] == 0) + && (sig_x > sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?0:1; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) { + // x is -inf, so it is less than y unless y is -inf + res = (((y & MASK_INF) != MASK_INF) + || (y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else { + // x is pos_inf, no way for it to be less than y + res = 0; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + if (x_is_zero && y_is_zero) { + // if both numbers are zero, they are equal + res = 0; + BID_RETURN (res); + } else if (x_is_zero) { + // if x is zero, it is lessthan if Y is positive + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else if (y_is_zero) { + // if y is zero, X is less if it is negative + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_less_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_less_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, rather than equal : + // return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (LESSEQUAL). + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + if (((x & MASK_SIGN) == MASK_SIGN)) { + // if x is neg infinity, it must be lessthan or equal to y return 1 + res = 1; + BID_RETURN (res); + } else { + // x is pos infinity, it is greater, unless y is positive infinity => + // return y==pos_infinity + res = !(((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 1 + // if y is negative infinity, then x is greater, return 0 + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + if (x_is_zero && y_is_zero) { + // if both numbers are zero, they are equal -> return 1 + res = 1; + BID_RETURN (res); + } else if (x_is_zero) { + // if x is zero, it is lessthan if Y is positive + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else if (y_is_zero) { + // if y is zero, X is less if it is negative + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_less_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_less_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?0:1; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) { + // x is -inf, so it is less than y unless y is -inf + res = (((y & MASK_INF) != MASK_INF) + || (y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else { + // x is pos_inf, no way for it to be less than y + res = 0; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + if (x_is_zero && y_is_zero) { + // if both numbers are zero, they are equal + res = 0; + BID_RETURN (res); + } else if (x_is_zero) { + // if x is zero, it is lessthan if Y is positive + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else if (y_is_zero) { + // if y is zero, X is less if it is negative + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_not_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_not_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y, exp_t; + UINT64 sig_x, sig_y, sig_t; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y, lcv; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 1 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equivalent. + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if (((x & MASK_INF) == MASK_INF) && ((y & MASK_INF) == MASK_INF)) { + res = (((x ^ y) & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // ONE INFINITY (CASE3') + if (((x & MASK_INF) == MASK_INF) || ((y & MASK_INF) == MASK_INF)) { + res = 1; + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } else if ((x_is_zero && !y_is_zero) || (!x_is_zero && y_is_zero)) { + res = 1; + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ => not equal : return 1 + if ((x ^ y) & MASK_SIGN) { + res = 1; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + if (exp_x > exp_y) { // to simplify the loop below, + SWAP (exp_x, exp_y, exp_t); // put the larger exp in y, + SWAP (sig_x, sig_y, sig_t); // and the smaller exp in x + } + + if (exp_y - exp_x > 15) { + res = 1; + BID_RETURN (res); + } + // difference cannot be greater than 10^16 + + for (lcv = 0; lcv < (exp_y - exp_x); lcv++) { + + // recalculate y's significand upwards + sig_y = sig_y * 10; + if (sig_y > 9999999999999999ull) { + res = 1; + BID_RETURN (res); + } + } + + { + res = sig_y != sig_x; + BID_RETURN (res); + } + +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_not_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_not_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (LESSEQUAL). + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, it must be lessthan or equal to y return 1 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, unless y is positive + // infinity => return y==pos_infinity + else { + res = !(((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 1 + // if y is negative infinity, then x is greater, return 0 + { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither + // number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal -> return 1 + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_not_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_not_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 1 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y & MASK_INF) == MASK_INF) + && (y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither + // number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_ordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_ordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + + // NaN (CASE1) + // if either number is NAN, the comparison is ordered, rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 0; + BID_RETURN (res); + } else { + res = 1; + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_quiet_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_quiet_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + if ((x & MASK_SNAN) == MASK_SNAN || (y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if sNaN + } + res = 1; + BID_RETURN (res); + } else { + res = 0; + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } + // x is pos infinity, it is greater, + // unless y is positive infinity => return y!=pos_infinity + else { + res = (((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, neither is greater => return NOTGREATERTHAN + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } + // is x is zero, it is greater if Y is negative + else if (x_is_zero) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // is y is zero, X is greater if it is positive + else if (y_is_zero) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + + { + res = (((sig_n_prime.w[1] > 0) + || sig_n_prime.w[0] > sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + { + res = (((sig_n_prime.w[1] == 0) + && (sig_x > sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_greater_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_greater_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 1 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y & MASK_INF) == MASK_INF) + && (y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_greater_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_greater_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return 0 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 0; + BID_RETURN (res); + } + // x is pos infinity, it is greater, + // unless y is positive infinity => return y!=pos_infinity + else { + res = (((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 0 + // if y is negative infinity, then x is greater, return 1 + { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, neither is greater => return NOTGREATERTHAN + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } + // is x is zero, it is greater if Y is negative + else if (x_is_zero) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // is y is zero, X is greater if it is positive + else if (y_is_zero) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + + { + res = (((sig_n_prime.w[1] > 0) + || sig_n_prime.w[0] > sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + { + res = (((sig_n_prime.w[1] == 0) + && (sig_x > sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?0:1; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y & MASK_INF) != MASK_INF) + || (y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 0; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_less_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_less_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 0; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (LESSEQUAL). + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, it must be lessthan or equal to y return 1 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, + // unless y is positive infinity => return y==pos_infinity + else { + res = !(((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 1 + // if y is negative infinity, then x is greater, return 0 + { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal -> return 1 + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_less_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_less_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 0; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?0:1; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y & MASK_INF) != MASK_INF) + || (y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 0; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal + if (x_is_zero && y_is_zero) { + res = 0; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 0; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 0; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_not_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_not_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered, + // rather than equal : return 0 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (LESSEQUAL). + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, it must be lessthan or equal to y return 1 + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // x is pos infinity, it is greater, + // unless y is positive infinity => return y==pos_infinity + else { + res = !(((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)); + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return 1 + // if y is negative infinity, then x is greater, return 0 + { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal -> return 1 + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 1 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)); + BID_RETURN (res); + } +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_signaling_not_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_signaling_not_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0, non_canon_x, non_canon_y; + + // NaN (CASE1) + // if either number is NAN, the comparison is unordered : return 1 + if (((x & MASK_NAN) == MASK_NAN) || ((y & MASK_NAN) == MASK_NAN)) { + *pfpsf |= INVALID_EXCEPTION; // set invalid exception if NaN + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x==neg_inf, { res = (y == neg_inf)?1:0; BID_RETURN (res) } + if ((x & MASK_SIGN) == MASK_SIGN) + // x is -inf, so it is less than y unless y is -inf + { + res = (((y & MASK_INF) == MASK_INF) + && (y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else + // x is pos_inf, no way for it to be less than y + { + res = 1; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, xy + { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull) { + non_canon_x = 1; + } else { + non_canon_x = 0; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + non_canon_x = 0; + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull) { + non_canon_y = 1; + } else { + non_canon_y = 0; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + non_canon_y = 0; + } + + // ZERO (CASE4) + // some properties: + // (+ZERO==-ZERO) => therefore ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // therefore ignore the exponent field + // (Any non-canonical # is considered 0) + if (non_canon_x || sig_x == 0) { + x_is_zero = 1; + } + if (non_canon_y || sig_y == 0) { + y_is_zero = 1; + } + // if both numbers are zero, they are equal + if (x_is_zero && y_is_zero) { + res = 1; + BID_RETURN (res); + } + // if x is zero, it is lessthan if Y is positive + else if (x_is_zero) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, X is less if it is negative + else if (y_is_zero) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is less than if y is positive + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // difference cannot be greater than 10^15 + + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = 1; + BID_RETURN (res); + } + // if postitive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // return 0 if values are equal + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = 1; + BID_RETURN (res); + } + // if positive, return whichever significand abs is smaller + // (converse if negative) + { + res = (((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) != + MASK_SIGN)); + BID_RETURN (res); + } +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_div.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_div.c new file mode 100644 index 0000000000..3943451eee --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_div.c @@ -0,0 +1,1795 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID64 divide + ***************************************************************************** + * + * Algorithm description: + * + * if(coefficient_x=B, 1 otherwise + * Q = 0 + * else + * get Q=(int)(coefficient_x/coefficient_y) + * (based on double precision divide) + * check for exact divide case + * Let R = coefficient_x - Q*coefficient_y + * Let m=16-number_digits(Q) + * CA=R*10^m, Q=Q*10^m + * B = coefficient_y + * endif + * if (CA<2^64) + * Q += CA/B (64-bit unsigned divide) + * else + * get final Q using double precision divide, followed by 3 integer + * iterations + * if exact result, eliminate trailing zeros + * check for underflow + * round coefficient to nearest + * + ****************************************************************************/ + +#include "bid_internal.h" +#include "bid_div_macros.h" +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +#include + +#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT +#endif + +extern UINT32 convert_table[5][128][2]; +extern SINT8 factors[][2]; +extern UINT8 packed_10000_zeros[]; + + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_div (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x, y; +#else + +UINT64 +bid64_div (UINT64 x, + UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CA, CT; + UINT64 sign_x, sign_y, coefficient_x, coefficient_y, A, B, QX, PD; + UINT64 A2, Q, Q2, B2, B4, B5, R, T, DU, res; + UINT64 valid_x, valid_y; + SINT64 D; + int_double t_scale, tempq, temp_b; + int_float tempx, tempy; + double da, db, dq, da_h, da_l; + int exponent_x, exponent_y, bin_expon_cx; + int diff_expon, ed1, ed2, bin_index; + int rmode, amount; + int nzeros, i, j, k, d5; + UINT32 QX32, tdigit[3], digit, digit_h, digit_low; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; + y = *py; +#endif + + valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x); + valid_y = unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y); + + // unpack arguments, check for NaN or Infinity + if (!valid_x) { + // x is Inf. or NaN +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + + // test if x is NaN + if ((x & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (coefficient_x & QUIET_MASK64); + } + // x is Infinity? + if ((x & INFINITY_MASK64) == INFINITY_MASK64) { + // check if y is Inf or NaN + if ((y & INFINITY_MASK64) == INFINITY_MASK64) { + // y==Inf, return NaN + if ((y & NAN_MASK64) == INFINITY_MASK64) { // Inf/Inf +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (NAN_MASK64); + } + } else { + // otherwise return +/-Inf + BID_RETURN (((x ^ y) & 0x8000000000000000ull) | + INFINITY_MASK64); + } + } + // x==0 + if (((y & INFINITY_MASK64) != INFINITY_MASK64) + && !(coefficient_y)) { + // y==0 , return NaN +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (NAN_MASK64); + } + if (((y & INFINITY_MASK64) != INFINITY_MASK64)) { + if ((y & SPECIAL_ENCODING_MASK64) == SPECIAL_ENCODING_MASK64) + exponent_y = ((UINT32) (y >> 51)) & 0x3ff; + else + exponent_y = ((UINT32) (y >> 53)) & 0x3ff; + sign_y = y & 0x8000000000000000ull; + + exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + BID_RETURN ((sign_x ^ sign_y) | (((UINT64) exponent_x) << 53)); + } + + } + if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (coefficient_y & QUIET_MASK64); + } + // y is Infinity? + if ((y & INFINITY_MASK64) == INFINITY_MASK64) { + // return +/-0 + BID_RETURN (((x ^ y) & 0x8000000000000000ull)); + } + // y is 0 +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + BID_RETURN ((sign_x ^ sign_y) | INFINITY_MASK64); + } +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + + if (coefficient_x < coefficient_y) { + // get number of decimal digits for c_x, c_y + + //--- get number of bits in the coefficients of x and y --- + tempx.d = (float) coefficient_x; + tempy.d = (float) coefficient_y; + bin_index = (tempy.i - tempx.i) >> 23; + + A = coefficient_x * power10_index_binexp[bin_index]; + B = coefficient_y; + + temp_b.d = (double) B; + + // compare A, B + DU = (A - B) >> 63; + ed1 = 15 + (int) DU; + ed2 = estimate_decimal_digits[bin_index] + ed1; + T = power10_table_128[ed1].w[0]; + __mul_64x64_to_128 (CA, A, T); + + Q = 0; + diff_expon = diff_expon - ed2; + + // adjust double precision db, to ensure that later A/B - (int)(da/db) > -1 + if (coefficient_y < 0x0020000000000000ull) { + temp_b.i += 1; + db = temp_b.d; + } else + db = (double) (B + 2 + (B & 1)); + + } else { + // get c_x/c_y + + // set last bit before conversion to DP + A2 = coefficient_x | 1; + da = (double) A2; + + db = (double) coefficient_y; + + tempq.d = da / db; + Q = (UINT64) tempq.d; + + R = coefficient_x - coefficient_y * Q; + + // will use to get number of dec. digits of Q + bin_expon_cx = (tempq.i >> 52) - 0x3ff; + + // R<0 ? + D = ((SINT64) R) >> 63; + Q += D; + R += (coefficient_y & D); + + // exact result ? + if (((SINT64) R) <= 0) { + // can have R==-1 for coeff_y==1 + res = + get_BID64 (sign_x ^ sign_y, diff_expon, (Q + R), rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + // get decimal digits of Q + DU = power10_index_binexp[bin_expon_cx] - Q - 1; + DU >>= 63; + + ed2 = 16 - estimate_decimal_digits[bin_expon_cx] - (int) DU; + + T = power10_table_128[ed2].w[0]; + __mul_64x64_to_128 (CA, R, T); + B = coefficient_y; + + Q *= power10_table_128[ed2].w[0]; + diff_expon -= ed2; + + } + + if (!CA.w[1]) { + Q2 = CA.w[0] / B; + B2 = B + B; + B4 = B2 + B2; + R = CA.w[0] - Q2 * B; + Q += Q2; + } else { + + // 2^64 + t_scale.i = 0x43f0000000000000ull; + // convert CA to DP + da_h = CA.w[1]; + da_l = CA.w[0]; + da = da_h * t_scale.d + da_l; + + // quotient + dq = da / db; + Q2 = (UINT64) dq; + + // get w[0] remainder + R = CA.w[0] - Q2 * B; + + // R<0 ? + D = ((SINT64) R) >> 63; + Q2 += D; + R += (B & D); + + // now R<6*B + + // quick divide + + // 4*B + B2 = B + B; + B4 = B2 + B2; + + R = R - B4; + // R<0 ? + D = ((SINT64) R) >> 63; + // restore R if negative + R += (B4 & D); + Q2 += ((~D) & 4); + + R = R - B2; + // R<0 ? + D = ((SINT64) R) >> 63; + // restore R if negative + R += (B2 & D); + Q2 += ((~D) & 2); + + R = R - B; + // R<0 ? + D = ((SINT64) R) >> 63; + // restore R if negative + R += (B & D); + Q2 += ((~D) & 1); + + Q += Q2; + } + +#ifdef SET_STATUS_FLAGS + if (R) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!R) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + { + // eliminate trailing zeros + + // check whether CX, CY are short + if ((coefficient_x <= 1024) && (coefficient_y <= 1024)) { + i = (int) coefficient_y - 1; + j = (int) coefficient_x - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + + __mul_64x64_to_128 (CT, Q, reciprocals10_64[nzeros]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[nzeros]; + Q = CT.w[1] >> amount; + + diff_expon += nzeros; + } else { + tdigit[0] = Q & 0x3ffffff; + tdigit[1] = 0; + QX = Q >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + __mul_64x64_to_128 (CT, Q, reciprocals10_64[nzeros]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[nzeros]; + Q = CT.w[1] >> amount; + } + diff_expon += nzeros; + + } + if (diff_expon >= 0) { + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, Q, + rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + } +#endif + + if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // round to nearest code + // R*10 + R += R; + R = (R << 2) + R; + B5 = B4 + B; + + // compare 10*R to 5*B + R = B5 - R; + // correction for (R==0 && (Q&1)) + R -= (Q & 1); + // R<0 ? + D = ((UINT64) R) >> 63; + Q += D; +#else +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + // round to nearest code + // R*10 + R += R; + R = (R << 2) + R; + B5 = B4 + B; + + // compare 10*R to 5*B + R = B5 - R; + // correction for (R==0 && (Q&1)) + R -= (Q & 1); + // R<0 ? + D = ((UINT64) R) >> 63; + Q += D; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case 0: // round to nearest code + case ROUNDING_TIES_AWAY: + // R*10 + R += R; + R = (R << 2) + R; + B5 = B4 + B; + // compare 10*R to 5*B + R = B5 - R; + // correction for (R==0 && (Q&1)) + R -= ((Q | (rmode >> 2)) & 1); + // R<0 ? + D = ((UINT64) R) >> 63; + Q += D; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + Q++; + break; + } +#endif +#endif + + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, Q, rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } else { + // UF occurs + +#ifdef SET_STATUS_FLAGS + if ((diff_expon + 16 < 0)) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + rmode = rnd_mode; + res = + get_BID64_UF (sign_x ^ sign_y, diff_expon, Q, R, rmode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + + } +} + + + +TYPE0_FUNCTION_ARGTYPE1_ARG128 (UINT64, bid64dq_div, UINT64, x, y) + UINT256 CA4 = + { {0x0ull, 0x0ull, 0x0ull, 0x0ull} }, CA4r, P256, QB256; +UINT128 CX, CY, T128, CQ, CQ2, CR, CA, TP128, Qh, Tmp; +UINT64 sign_x, sign_y, T, carry64, D, Q_low, QX, valid_y, PD, res; +int_float fx, fy, f64; +UINT32 QX32, tdigit[3], digit, digit_h, digit_low; +int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; +int nzeros, i, j, k, d5, done = 0; +unsigned rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +fexcept_t binaryflags = 0; +#endif + +valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y); + + // unpack arguments, check for NaN or Infinity +CX.w[1] = 0; +if (!unpack_BID64 (&sign_x, &exponent_x, &CX.w[0], (x))) { +#ifdef SET_STATUS_FLAGS + if (((y.w[1] & SNAN_MASK64) == SNAN_MASK64) || // y is sNaN + ((x & SNAN_MASK64) == SNAN_MASK64)) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // test if x is NaN + if (((x) & 0x7c00000000000000ull) == 0x7c00000000000000ull) { + res = CX.w[0]; + BID_RETURN (res & QUIET_MASK64); + } + // x is Infinity? + if (((x) & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull)) { + // otherwise return +/-Inf + res = + (((x) ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; + BID_RETURN (res); + } + } + // x is 0 + if ((y.w[1] & INFINITY_MASK64) != INFINITY_MASK64) { + if ((!CY.w[0]) && !(CY.w[1] & 0x0001ffffffffffffull)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + // return 0 + res = ((x) ^ y.w[1]) & 0x8000000000000000ull; + exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS_128; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + res |= (((UINT64) exponent_x) << 53); + BID_RETURN (res); + } +} +exponent_x += (DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS); +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + Tmp.w[1] = (CY.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CY.w[0]; + TP128 = reciprocals10_128[18]; + __mul_128x128_high (Qh, Tmp, TP128); + amount = recip_scale[18]; + __shr_128 (Tmp, Qh, amount); + res = (CY.w[1] & 0xfc00000000000000ull) | Tmp.w[0]; + BID_RETURN (res); + } + // y is Infinity? + if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return +/-0 + res = sign_x ^ sign_y; + BID_RETURN (res); + } + // y is 0, return +/-Inf + res = + (((x) ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 15; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + if (digits_q <= 16) { + if (!CR.w[1] && !CR.w[0]) { + res = get_BID64 (sign_x ^ sign_y, diff_expon, + CQ.w[0], rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + + ed2 = 16 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + __mul_64x128_to_192 (CA4, (T128.w[0]), CR); + diff_expon = diff_expon - ed2; + CQ.w[0] *= T128.w[0]; + } else { + ed2 = digits_q - 16; + diff_expon += ed2; + T128 = reciprocals10_128[ed2]; + __mul_128x128_to_256 (P256, CQ, T128); + amount = recip_scale[ed2]; + CQ.w[0] = (P256.w[2] >> amount) | (P256.w[3] << (64 - amount)); + CQ.w[1] = 0; + + __mul_64x64_to_128 (CQ2, CQ.w[0], (power10_table_128[ed2].w[0])); + + __mul_64x64_to_128 (QB256, CQ2.w[0], CY.w[0]); + QB256.w[1] += CQ2.w[0] * CY.w[1] + CQ2.w[1] * CY.w[0]; + + CA4.w[1] = CX.w[1] - QB256.w[1]; + CA4.w[0] = CX.w[0] - QB256.w[0]; + if (CX.w[0] < QB256.w[0]) + CA4.w[1]--; + if (CR.w[0] || CR.w[1]) + CA4.w[0] |= 1; + done = 1; + + } + +} +if (!done) { + __div_256_by_128 (&CQ, &CA4, CY); +} + + + +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact + { + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + Q_low = CQ.w[0]; + + { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + if(diff_expon>=0){ + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, CQ.w[0], + rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + } +#endif + + if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; +#else +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, CQ.w[0], rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } else { + // UF occurs + +#ifdef SET_STATUS_FLAGS + if ((diff_expon + 16 < 0)) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + rmode = rnd_mode; + res = + get_BID64_UF (sign_x ^ sign_y, diff_expon, CQ.w[0], CA4.w[1] | CA4.w[0], rmode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + + } + +} + + +//#define LEAVE_TRAILING_ZEROS + +TYPE0_FUNCTION_ARG128_ARGTYPE2 (UINT64, bid64qd_div, x, UINT64, y) + + UINT256 CA4 = + { {0x0ull, 0x0ull, 0x0ull, 0x0ull} }, CA4r, P256, QB256; +UINT128 CX, CY, T128, CQ, CQ2, CR, CA, TP128, Qh, Tmp; +UINT64 sign_x, sign_y, T, carry64, D, Q_low, QX, PD, res, valid_y; +int_float fx, fy, f64; +UINT32 QX32, tdigit[3], digit, digit_h, digit_low; +int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; +int nzeros, i, j, k, d5, done = 0; +unsigned rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +fexcept_t binaryflags = 0; +#endif + +valid_y = unpack_BID64 (&sign_y, &exponent_y, &CY.w[0], (y)); + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + // test if x is NaN + if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull || // sNaN + (y & 0x7e00000000000000ull) == 0x7e00000000000000ull) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CX.w[0]; + TP128 = reciprocals10_128[18]; + __mul_128x128_high (Qh, Tmp, TP128); + amount = recip_scale[18]; + __shr_128 (Tmp, Qh, amount); + res = (CX.w[1] & 0xfc00000000000000ull) | Tmp.w[0]; + BID_RETURN (res); + } + // x is Infinity? + if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + if (((y & 0x7c00000000000000ull) != 0x7c00000000000000ull)) { + // otherwise return +/-Inf + res = + ((x.w[1] ^ (y)) & 0x8000000000000000ull) | 0x7800000000000000ull; + BID_RETURN (res); + } + } + // x is 0 + if (((y & INFINITY_MASK64) != INFINITY_MASK64) && + !(CY.w[0])) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + // return 0 + if (((y & 0x7800000000000000ull) != 0x7800000000000000ull)) { + if (!CY.w[0]) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + exponent_x = + exponent_x - exponent_y - DECIMAL_EXPONENT_BIAS_128 + + (DECIMAL_EXPONENT_BIAS << 1); + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + res = (sign_x ^ sign_y) | (((UINT64) exponent_x) << 53); + BID_RETURN (res); + } +} +CY.w[1] = 0; +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (CY.w[0] & QUIET_MASK64); + } + // y is Infinity? + if (((y) & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return +/-0 + res = sign_x ^ sign_y; + BID_RETURN (res); + } + // y is 0, return +/-Inf + res = + ((x.w[1] ^ (y)) & 0x8000000000000000ull) | 0x7800000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = + exponent_x - exponent_y - DECIMAL_EXPONENT_BIAS_128 + + (DECIMAL_EXPONENT_BIAS << 1); + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 15; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + if (digits_q <= 16) { + if (!CR.w[1] && !CR.w[0]) { + res = get_BID64 (sign_x ^ sign_y, diff_expon, + CQ.w[0], rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + + ed2 = 16 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + __mul_64x128_to_192 (CA4, (T128.w[0]), CR); + diff_expon = diff_expon - ed2; + CQ.w[0] *= T128.w[0]; + } else { + ed2 = digits_q - 16; + diff_expon += ed2; + T128 = reciprocals10_128[ed2]; + __mul_128x128_to_256 (P256, CQ, T128); + amount = recip_scale[ed2]; + CQ.w[0] = (P256.w[2] >> amount) | (P256.w[3] << (64 - amount)); + CQ.w[1] = 0; + + __mul_64x64_to_128 (CQ2, CQ.w[0], (power10_table_128[ed2].w[0])); + + __mul_64x64_to_128 (QB256, CQ2.w[0], CY.w[0]); + QB256.w[1] += CQ2.w[0] * CY.w[1] + CQ2.w[1] * CY.w[0]; + + CA4.w[1] = CX.w[1] - QB256.w[1]; + CA4.w[0] = CX.w[0] - QB256.w[0]; + if (CX.w[0] < QB256.w[0]) + CA4.w[1]--; + if (CR.w[0] || CR.w[1]) + CA4.w[0] |= 1; + done = 1; + if(CA4.w[1]|CA4.w[0]) { + __mul_64x128_low(CY, (power10_table_128[ed2].w[0]),CY); + } + + } + +} + +if (!done) { + __div_256_by_128 (&CQ, &CA4, CY); +} + +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact + { + if(!done) { + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2]; + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + //T128 = reciprocals10_128[17]; + Q_low = CQ.w[0]; + + { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + } + if(diff_expon>=0){ + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, CQ.w[0], + rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + } +#endif + + if (diff_expon >= 0) { +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; + //if(CQ.w[0]> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + + + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, CQ.w[0], rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } else { + // UF occurs + +#ifdef SET_STATUS_FLAGS + if ((diff_expon + 16 < 0)) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + rmode = rnd_mode; + res = + get_BID64_UF (sign_x ^ sign_y, diff_expon, CQ.w[0], CA4.w[1] | CA4.w[0], rmode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + + } + +} + +//#define LEAVE_TRAILING_ZEROS + +extern UINT32 convert_table[5][128][2]; +extern SINT8 factors[][2]; +extern UINT8 packed_10000_zeros[]; + + +//UINT64* bid64_div128x128(UINT64 res, UINT128 *px, UINT128 *py, unsigned rnd_mode, unsigned *pfpsf) + +TYPE0_FUNCTION_ARG128_ARG128 (UINT64, bid64qq_div, x, y) + UINT256 CA4 = + { {0x0ull, 0x0ull, 0x0ull, 0x0ull} }, CA4r, P256, QB256; +UINT128 CX, CY, T128, CQ, CQ2, CR, CA, TP128, Qh, Tmp; +UINT64 sign_x, sign_y, T, carry64, D, Q_low, QX, valid_y, PD, res; +int_float fx, fy, f64; +UINT32 QX32, tdigit[3], digit, digit_h, digit_low; +int exponent_x, exponent_y, bin_index, bin_expon, diff_expon, ed2, + digits_q, amount; +int nzeros, i, j, k, d5, done = 0; +unsigned rmode; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +fexcept_t binaryflags = 0; +#endif + +valid_y = unpack_BID128_value (&sign_y, &exponent_y, &CY, y); + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + // test if x is NaN + if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull || // sNaN + (y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CX.w[0]; + TP128 = reciprocals10_128[18]; + __mul_128x128_high (Qh, Tmp, TP128); + amount = recip_scale[18]; + __shr_128 (Tmp, Qh, amount); + res = (CX.w[1] & 0xfc00000000000000ull) | Tmp.w[0]; + BID_RETURN (res); + } + // x is Infinity? + if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is Inf. + if (((y.w[1] & 0x7c00000000000000ull) == 0x7800000000000000ull)) + // return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + if (((y.w[1] & 0x7c00000000000000ull) != 0x7c00000000000000ull)) { + // otherwise return +/-Inf + res = + ((x.w[1] ^ y. + w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; + BID_RETURN (res); + } + } + // x is 0 + if (((y.w[1] & 0x7800000000000000ull) != 0x7800000000000000ull)) { + if ((!CY.w[0]) && !(CY.w[1] & 0x0001ffffffffffffull)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x=y=0, return NaN + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + // return 0 + res = (x.w[1] ^ y.w[1]) & 0x8000000000000000ull; + exponent_x = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + res |= (((UINT64) exponent_x) << 53); + BID_RETURN (res); + } +} +if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((y.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + Tmp.w[1] = (CY.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CY.w[0]; + TP128 = reciprocals10_128[18]; + __mul_128x128_high (Qh, Tmp, TP128); + amount = recip_scale[18]; + __shr_128 (Tmp, Qh, amount); + res = (CY.w[1] & 0xfc00000000000000ull) | Tmp.w[0]; + BID_RETURN (res); + } + // y is Infinity? + if ((y.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + // return +/-0 + res = sign_x ^ sign_y; + BID_RETURN (res); + } + // y is 0, return +/-Inf + res = + ((x.w[1] ^ y.w[1]) & 0x8000000000000000ull) | 0x7800000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, ZERO_DIVIDE_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif +diff_expon = exponent_x - exponent_y + DECIMAL_EXPONENT_BIAS; + +if (__unsigned_compare_gt_128 (CY, CX)) { + // CX < CY + + // 2^64 + f64.i = 0x5f800000; + + // fx ~ CX, fy ~ CY + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + fy.d = (float) CY.w[1] * f64.d + (float) CY.w[0]; + // expon_cy - expon_cx + bin_index = (fy.i - fx.i) >> 23; + + if (CX.w[1]) { + T = power10_index_binexp_128[bin_index].w[0]; + __mul_64x128_short (CA, T, CX); + } else { + T128 = power10_index_binexp_128[bin_index]; + __mul_64x128_short (CA, CX.w[0], T128); + } + + ed2 = 15; + if (__unsigned_compare_gt_128 (CY, CA)) + ed2++; + + T128 = power10_table_128[ed2]; + __mul_128x128_to_256 (CA4, CA, T128); + + ed2 += estimate_decimal_digits[bin_index]; + CQ.w[0] = CQ.w[1] = 0; + diff_expon = diff_expon - ed2; + +} else { + // get CQ = CX/CY + __div_128_by_128 (&CQ, &CR, CX, CY); + + // get number of decimal digits in CQ + // 2^64 + f64.i = 0x5f800000; + fx.d = (float) CQ.w[1] * f64.d + (float) CQ.w[0]; + // binary expon. of CQ + bin_expon = (fx.i - 0x3f800000) >> 23; + + digits_q = estimate_decimal_digits[bin_expon]; + TP128.w[0] = power10_index_binexp_128[bin_expon].w[0]; + TP128.w[1] = power10_index_binexp_128[bin_expon].w[1]; + if (__unsigned_compare_ge_128 (CQ, TP128)) + digits_q++; + + if (digits_q <= 16) { + if (!CR.w[1] && !CR.w[0]) { + res = get_BID64 (sign_x ^ sign_y, diff_expon, + CQ.w[0], rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + + ed2 = 16 - digits_q; + T128.w[0] = power10_table_128[ed2].w[0]; + __mul_64x128_to_192 (CA4, (T128.w[0]), CR); + diff_expon = diff_expon - ed2; + CQ.w[0] *= T128.w[0]; + } else { + ed2 = digits_q - 16; + diff_expon += ed2; + T128 = reciprocals10_128[ed2]; + __mul_128x128_to_256 (P256, CQ, T128); + amount = recip_scale[ed2]; + CQ.w[0] = (P256.w[2] >> amount) | (P256.w[3] << (64 - amount)); + CQ.w[1] = 0; + + __mul_64x64_to_128 (CQ2, CQ.w[0], (power10_table_128[ed2].w[0])); + + __mul_64x64_to_128 (QB256, CQ2.w[0], CY.w[0]); + QB256.w[1] += CQ2.w[0] * CY.w[1] + CQ2.w[1] * CY.w[0]; + + CA4.w[1] = CX.w[1] - QB256.w[1]; + CA4.w[0] = CX.w[0] - QB256.w[0]; + if (CX.w[0] < QB256.w[0]) + CA4.w[1]--; + if (CR.w[0] || CR.w[1]) + CA4.w[0] |= 1; + done = 1; + if(CA4.w[1]|CA4.w[0]) { + __mul_64x128_low(CY, (power10_table_128[ed2].w[0]),CY); + } + } + +} + +if (!done) { + __div_256_by_128 (&CQ, &CA4, CY); +} + + + +#ifdef SET_STATUS_FLAGS + if (CA4.w[0] || CA4.w[1]) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#ifndef LEAVE_TRAILING_ZEROS + else +#endif +#else +#ifndef LEAVE_TRAILING_ZEROS + if (!CA4.w[0] && !CA4.w[1]) +#endif +#endif +#ifndef LEAVE_TRAILING_ZEROS + // check whether result is exact + { + if(!done) { + // check whether CX, CY are short + if (!CX.w[1] && !CY.w[1] && (CX.w[0] <= 1024) && (CY.w[0] <= 1024)) { + i = (int) CY.w[0] - 1; + j = (int) CX.w[0] - 1; + // difference in powers of 2 factors for Y and X + nzeros = ed2 - factors[i][0] + factors[j][0]; + // difference in powers of 5 factors + d5 = ed2 - factors[i][1] + factors[j][1]; + if (d5 < nzeros) + nzeros = d5; + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + //__mul_128x128_to_256(P256, CQ, reciprocals10_128[nzeros]);Qh.w[1]=P256.w[3];Qh.w[0]=P256.w[2]; + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128_long (CQ, Qh, amount); + + diff_expon += nzeros; + } else { + // decompose Q as Qh*10^17 + Ql + //T128 = reciprocals10_128[17]; + Q_low = CQ.w[0]; + + { + tdigit[0] = Q_low & 0x3ffffff; + tdigit[1] = 0; + QX = Q_low >> 26; + QX32 = QX; + nzeros = 0; + + for (j = 0; QX32; j++, QX32 >>= 7) { + k = (QX32 & 127); + tdigit[0] += convert_table[j][k][0]; + tdigit[1] += convert_table[j][k][1]; + if (tdigit[0] >= 100000000) { + tdigit[0] -= 100000000; + tdigit[1]++; + } + } + + if (tdigit[1] >= 100000000) { + tdigit[1] -= 100000000; + if (tdigit[1] >= 100000000) + tdigit[1] -= 100000000; + } + + digit = tdigit[0]; + if (!digit && !tdigit[1]) + nzeros += 16; + else { + if (!digit) { + nzeros += 8; + digit = tdigit[1]; + } + // decompose digit + PD = (UINT64) digit *0x068DB8BBull; + digit_h = (UINT32) (PD >> 40); + digit_low = digit - digit_h * 10000; + + if (!digit_low) + nzeros += 4; + else + digit_h = digit_low; + + if (!(digit_h & 1)) + nzeros += + 3 & (UINT32) (packed_10000_zeros[digit_h >> 3] >> + (digit_h & 7)); + } + + if (nzeros) { + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_high (Qh, CQ, reciprocals10_128[nzeros]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[nzeros]; + __shr_128 (CQ, Qh, amount); + } + diff_expon += nzeros; + + } + } + } + if(diff_expon>=0){ + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, CQ.w[0], + rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + } +#endif + + if(diff_expon>=0) { + +#ifdef IEEE_ROUND_NEAREST + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + + CQ.w[0] += carry64; + //if(CQ.w[0]> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; +#else + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + switch (rmode) { + case ROUNDING_TO_NEAREST: // round to nearest code + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 1 : 0; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) & ((CQ.w[0]) | D); + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_TIES_AWAY: + // rounding + // 2*CA4 - CY + CA4r.w[1] = (CA4.w[1] + CA4.w[1]) | (CA4.w[0] >> 63); + CA4r.w[0] = CA4.w[0] + CA4.w[0]; + __sub_borrow_out (CA4r.w[0], carry64, CA4r.w[0], CY.w[0]); + CA4r.w[1] = CA4r.w[1] - CY.w[1] - carry64; + D = (CA4r.w[1] | CA4r.w[0]) ? 0 : 1; + carry64 = (1 + (((SINT64) CA4r.w[1]) >> 63)) | D; + CQ.w[0] += carry64; + if (CQ.w[0] < carry64) + CQ.w[1]++; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + break; + default: // rounding up + CQ.w[0]++; + if (!CQ.w[0]) + CQ.w[1]++; + break; + } +#endif +#endif + + + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, diff_expon, CQ.w[0], rnd_mode, + pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } else { + // UF occurs + +#ifdef SET_STATUS_FLAGS + if ((diff_expon + 16 < 0)) { + // set status flags + __set_status_flags (pfpsf, INEXACT_EXCEPTION); + } +#endif + rmode = rnd_mode; + res = + get_BID64_UF (sign_x ^ sign_y, diff_expon, CQ.w[0], CA4.w[1] | CA4.w[0], rmode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + + } + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_fma.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_fma.c new file mode 100644 index 0000000000..670fccf7bb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_fma.c @@ -0,0 +1,506 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID64 fma + ***************************************************************************** + * + * Algorithm description: + * + * if multiplication is guranteed exact (short coefficients) + * call the unpacked arg. equivalent of bid64_add(x*y, z) + * else + * get full coefficient_x*coefficient_y product + * call subroutine to perform addition of 64-bit argument + * to 128-bit product + * + ****************************************************************************/ + +#include "bid_inline_add.h" + +#if DECIMAL_CALL_BY_REFERENCE +extern void bid64_mul (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); +#else + +extern UINT64 bid64_mul (UINT64 x, + UINT64 y _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); +#endif + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_fma (UINT64 * pres, UINT64 * px, UINT64 * py, + UINT64 * + pz _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x, y, z; +#else + +UINT64 +bid64_fma (UINT64 x, UINT64 y, + UINT64 z _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 P, PU, CT, CZ; + UINT64 sign_x, sign_y, coefficient_x, coefficient_y, sign_z, + coefficient_z; + UINT64 C64, remainder_y, res; + UINT64 CYh, CY0L, T, valid_x, valid_y, valid_z; + int_double tempx, tempy; + int extra_digits, exponent_x, exponent_y, bin_expon_cx, bin_expon_cy, + bin_expon_product, rmode; + int digits_p, bp, final_exponent, exponent_z, digits_z, ez, ey, + scale_z, uf_status; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; + y = *py; + z = *pz; +#endif + + valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x); + valid_y = unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y); + valid_z = unpack_BID64 (&sign_z, &exponent_z, &coefficient_z, z); + + // unpack arguments, check for NaN, Infinity, or 0 + if (!valid_x || !valid_y || !valid_z) { + + if ((y & MASK_NAN) == MASK_NAN) { // y is NAN + // if x = {0, f, inf, NaN}, y = NaN, z = {0, f, inf, NaN} then res = Q (y) + // check first for non-canonical NaN payload + y = y & 0xfe03ffffffffffffull; // clear G6-G12 + if ((y & 0x0003ffffffffffffull) > 999999999999999ull) { + y = y & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (y) + res = y & 0xfdffffffffffffffull; + } else { // y is QNaN + // return y + res = y; + // if z = SNaN or x = SNaN signal invalid exception + if ((z & MASK_SNAN) == MASK_SNAN + || (x & MASK_SNAN) == MASK_SNAN) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } + BID_RETURN (res) + } else if ((z & MASK_NAN) == MASK_NAN) { // z is NAN + // if x = {0, f, inf, NaN}, y = {0, f, inf}, z = NaN then res = Q (z) + // check first for non-canonical NaN payload + z = z & 0xfe03ffffffffffffull; // clear G6-G12 + if ((z & 0x0003ffffffffffffull) > 999999999999999ull) { + z = z & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + if ((z & MASK_SNAN) == MASK_SNAN) { // z is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (z) + res = z & 0xfdffffffffffffffull; + } else { // z is QNaN + // return z + res = z; + // if x = SNaN signal invalid exception + if ((x & MASK_SNAN) == MASK_SNAN) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + } + BID_RETURN (res) + } else if ((x & MASK_NAN) == MASK_NAN) { // x is NAN + // if x = NaN, y = {0, f, inf}, z = {0, f, inf} then res = Q (x) + // check first for non-canonical NaN payload + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + if ((x & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res = x & 0xfdffffffffffffffull; + } else { // x is QNaN + // return x + res = x; // clear out G[6]-G[16] + } + BID_RETURN (res) + } + + if (!valid_x) { + // x is Inf. or 0 + + // x is Infinity? + if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if y is 0 + if (!coefficient_y) { + // y==0, return NaN +#ifdef SET_STATUS_FLAGS + if ((z & 0x7e00000000000000ull) != 0x7c00000000000000ull) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (0x7c00000000000000ull); + } + // test if z is Inf of oposite sign + if (((z & 0x7c00000000000000ull) == 0x7800000000000000ull) + && (((x ^ y) ^ z) & 0x8000000000000000ull)) { + // return NaN +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (0x7c00000000000000ull); + } + // otherwise return +/-Inf + BID_RETURN (((x ^ y) & 0x8000000000000000ull) | + 0x7800000000000000ull); + } + // x is 0 + if (((y & 0x7800000000000000ull) != 0x7800000000000000ull) + && ((z & 0x7800000000000000ull) != 0x7800000000000000ull)) { + + if (coefficient_z) { + exponent_y = exponent_x - DECIMAL_EXPONENT_BIAS + exponent_y; + + sign_z = z & 0x8000000000000000ull; + + if (exponent_y >= exponent_z) + BID_RETURN (z); + res = + add_zero64 (exponent_y, sign_z, exponent_z, coefficient_z, + &rnd_mode, pfpsf); + BID_RETURN (res); + } + } + } + if (!valid_y) { + // y is Inf. or 0 + + // y is Infinity? + if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) { + // check if x is 0 + if (!coefficient_x) { + // y==0, return NaN +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (0x7c00000000000000ull); + } + // test if z is Inf of oposite sign + if (((z & 0x7c00000000000000ull) == 0x7800000000000000ull) + && (((x ^ y) ^ z) & 0x8000000000000000ull)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // return NaN + BID_RETURN (0x7c00000000000000ull); + } + // otherwise return +/-Inf + BID_RETURN (((x ^ y) & 0x8000000000000000ull) | + 0x7800000000000000ull); + } + // y is 0 + if (((z & 0x7800000000000000ull) != 0x7800000000000000ull)) { + + if (coefficient_z) { + exponent_y += exponent_x - DECIMAL_EXPONENT_BIAS; + + sign_z = z & 0x8000000000000000ull; + + if (exponent_y >= exponent_z) + BID_RETURN (z); + res = + add_zero64 (exponent_y, sign_z, exponent_z, coefficient_z, + &rnd_mode, pfpsf); + BID_RETURN (res); + } + } + } + + if (!valid_z) { + // y is Inf. or 0 + + // test if y is NaN/Inf + if ((z & 0x7800000000000000ull) == 0x7800000000000000ull) { + BID_RETURN (coefficient_z & QUIET_MASK64); + } + // z is 0, return x*y + if ((!coefficient_x) || (!coefficient_y)) { + //0+/-0 + exponent_x += exponent_y - DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + if (exponent_x <= exponent_z) + res = ((UINT64) exponent_x) << 53; + else + res = ((UINT64) exponent_z) << 53; + if ((sign_x ^ sign_y) == sign_z) + res |= sign_z; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + else if (rnd_mode == ROUNDING_DOWN) + res |= 0x8000000000000000ull; +#endif +#endif + BID_RETURN (res); + } + } + } + + /* get binary coefficients of x and y */ + + //--- get number of bits in the coefficients of x and y --- + // version 2 (original) + tempx.d = (double) coefficient_x; + bin_expon_cx = ((tempx.i & MASK_BINARY_EXPONENT) >> 52); + + tempy.d = (double) coefficient_y; + bin_expon_cy = ((tempy.i & MASK_BINARY_EXPONENT) >> 52); + + // magnitude estimate for coefficient_x*coefficient_y is + // 2^(unbiased_bin_expon_cx + unbiased_bin_expon_cx) + bin_expon_product = bin_expon_cx + bin_expon_cy; + + // check if coefficient_x*coefficient_y<2^(10*k+3) + // equivalent to unbiased_bin_expon_cx + unbiased_bin_expon_cx < 10*k+1 + if (bin_expon_product < UPPER_EXPON_LIMIT + 2 * BINARY_EXPONENT_BIAS) { + // easy multiply + C64 = coefficient_x * coefficient_y; + final_exponent = exponent_x + exponent_y - DECIMAL_EXPONENT_BIAS; + if ((final_exponent > 0) || (!coefficient_z)) { + res = + get_add64 (sign_x ^ sign_y, + final_exponent, C64, sign_z, exponent_z, coefficient_z, rnd_mode, pfpsf); + BID_RETURN (res); + } else { + P.w[0] = C64; + P.w[1] = 0; + extra_digits = 0; + } + } else { + if (!coefficient_z) { +#if DECIMAL_CALL_BY_REFERENCE + bid64_mul (&res, px, + py _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res = + bid64_mul (x, + y _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + BID_RETURN (res); + } + // get 128-bit product: coefficient_x*coefficient_y + __mul_64x64_to_128 (P, coefficient_x, coefficient_y); + + // tighten binary range of P: leading bit is 2^bp + // unbiased_bin_expon_product <= bp <= unbiased_bin_expon_product+1 + bin_expon_product -= 2 * BINARY_EXPONENT_BIAS; + __tight_bin_range_128 (bp, P, bin_expon_product); + + // get number of decimal digits in the product + digits_p = estimate_decimal_digits[bp]; + if (!(__unsigned_compare_gt_128 (power10_table_128[digits_p], P))) + digits_p++; // if power10_table_128[digits_p] <= P + + // determine number of decimal digits to be rounded out + extra_digits = digits_p - MAX_FORMAT_DIGITS; + final_exponent = + exponent_x + exponent_y + extra_digits - DECIMAL_EXPONENT_BIAS; + } + + if (((unsigned) final_exponent) >= 3 * 256) { + if (final_exponent < 0) { + //--- get number of bits in the coefficients of z --- + tempx.d = (double) coefficient_z; + bin_expon_cx = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + // get number of decimal digits in the coeff_x + digits_z = estimate_decimal_digits[bin_expon_cx]; + if (coefficient_z >= power10_table_128[digits_z].w[0]) + digits_z++; + // underflow + if ((final_exponent + 16 < 0) + || (exponent_z + digits_z > 33 + final_exponent)) { + res = + BID_normalize (sign_z, exponent_z, coefficient_z, + sign_x ^ sign_y, 1, rnd_mode, pfpsf); + BID_RETURN (res); + } + + ez = exponent_z + digits_z - 16; + if (ez < 0) + ez = 0; + scale_z = exponent_z - ez; + coefficient_z *= power10_table_128[scale_z].w[0]; + ey = final_exponent - extra_digits; + extra_digits = ez - ey; + if (extra_digits > 33) { + res = + BID_normalize (sign_z, exponent_z, coefficient_z, + sign_x ^ sign_y, 1, rnd_mode, pfpsf); + BID_RETURN (res); + } + //else // extra_digits<=32 + + if (extra_digits > 17) { + CYh = __truncate (P, 16); + // get remainder + T = power10_table_128[16].w[0]; + __mul_64x64_to_64 (CY0L, CYh, T); + remainder_y = P.w[0] - CY0L; + + extra_digits -= 16; + P.w[0] = CYh; + P.w[1] = 0; + } else + remainder_y = 0; + + // align coeff_x, CYh + __mul_64x64_to_128 (CZ, coefficient_z, + power10_table_128[extra_digits].w[0]); + + if (sign_z == (sign_y ^ sign_x)) { + __add_128_128 (CT, CZ, P); + if (__unsigned_compare_ge_128 + (CT, power10_table_128[16 + extra_digits])) { + extra_digits++; + ez++; + } + } else { + if (remainder_y && (__unsigned_compare_ge_128 (CZ, P))) { + P.w[0]++; + if (!P.w[0]) + P.w[1]++; + } + __sub_128_128 (CT, CZ, P); + if (((SINT64) CT.w[1]) < 0) { + sign_z = sign_y ^ sign_x; + CT.w[0] = 0 - CT.w[0]; + CT.w[1] = 0 - CT.w[1]; + if (CT.w[0]) + CT.w[1]--; + } else if(!(CT.w[1]|CT.w[0])) + sign_z = (rnd_mode!=ROUNDING_DOWN)? 0: 0x8000000000000000ull; + if (ez + && + (__unsigned_compare_gt_128 + (power10_table_128[15 + extra_digits], CT))) { + extra_digits--; + ez--; + } + } + +#ifdef SET_STATUS_FLAGS + uf_status = 0; + if ((!ez) + && + __unsigned_compare_gt_128 (power10_table_128 + [extra_digits + 15], CT)) { + rmode = rnd_mode; + if (sign_z && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + //__add_128_64(PU, CT, round_const_table[rmode][extra_digits]); + PU = power10_table_128[extra_digits + 15]; + PU.w[0]--; + if (__unsigned_compare_gt_128 (PU, CT) + || (rmode == ROUNDING_DOWN) + || (rmode == ROUNDING_TO_ZERO)) + uf_status = UNDERFLOW_EXCEPTION; + else if (extra_digits < 2) { + if ((rmode == ROUNDING_UP)) { + if (!extra_digits) + uf_status = UNDERFLOW_EXCEPTION; + else { + if (remainder_y && (sign_z != (sign_y ^ sign_x))) + remainder_y = power10_table_128[16].w[0] - remainder_y; + + if (power10_table_128[15].w[0] > remainder_y) + uf_status = UNDERFLOW_EXCEPTION; + } + } else // RN or RN_away + { + if (remainder_y && (sign_z != (sign_y ^ sign_x))) + remainder_y = power10_table_128[16].w[0] - remainder_y; + + if (!extra_digits) { + remainder_y += round_const_table[rmode][15]; + if (remainder_y < power10_table_128[16].w[0]) + uf_status = UNDERFLOW_EXCEPTION; + } else { + if (remainder_y < round_const_table[rmode][16]) + uf_status = UNDERFLOW_EXCEPTION; + } + } + //__set_status_flags (pfpsf, uf_status); + } + } +#endif + res = + __bid_full_round64_remainder (sign_z, ez - extra_digits, CT, + extra_digits, remainder_y, + rnd_mode, pfpsf, uf_status); + BID_RETURN (res); + + } else { + if ((sign_z == (sign_x ^ sign_y)) + || (final_exponent > 3 * 256 + 15)) { + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, final_exponent, + 1000000000000000ull, rnd_mode, + pfpsf); + BID_RETURN (res); + } + } + } + + + if (extra_digits > 0) { + res = + get_add128 (sign_z, exponent_z, coefficient_z, sign_x ^ sign_y, + final_exponent, P, extra_digits, rnd_mode, pfpsf); + BID_RETURN (res); + } + // go to convert_format and exit + else { + C64 = __low_64 (P); + + res = + get_add64 (sign_x ^ sign_y, + exponent_x + exponent_y - DECIMAL_EXPONENT_BIAS, C64, + sign_z, exponent_z, coefficient_z, + rnd_mode, pfpsf); + BID_RETURN (res); + } +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_logb.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_logb.c new file mode 100644 index 0000000000..0582e11626 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_logb.c @@ -0,0 +1,68 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define MAX_FORMAT_DIGITS 16 +#define DECIMAL_EXPONENT_BIAS 398 + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_logb (int * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x; +#else + +int +bid64_logb (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 sign_x, coefficient_x; + int_double dx; + int exponent_x, bin_expon_cx, digits; + +#if DECIMAL_CALL_BY_REFERENCE + x = *px; +#endif + // unpack arguments, check for NaN or Infinity + if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) { + // x is Inf. or NaN +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (0x80000000); + } + // find number of digits in coefficient + if (coefficient_x >= 1000000000000000ull) { + digits = 16; + } else { + dx.d = (double)coefficient_x; // exact conversion; + bin_expon_cx = (int)(dx.i >> 52) - 1023; + digits = estimate_decimal_digits[bin_expon_cx]; + if (coefficient_x >= power10_table_128[digits].w[0]) + digits++; + } + exponent_x = exponent_x - DECIMAL_EXPONENT_BIAS + digits - 1; + + BID_RETURN (exponent_x); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_minmax.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_minmax.c new file mode 100644 index 0000000000..4bc7923acf --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_minmax.c @@ -0,0 +1,854 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64 minimum function - returns greater of two numbers + *****************************************************************************/ + +static const UINT64 mult_factor[16] = { + 1ull, 10ull, 100ull, 1000ull, + 10000ull, 100000ull, 1000000ull, 10000000ull, + 100000000ull, 1000000000ull, 10000000000ull, 100000000000ull, + 1000000000000ull, 10000000000000ull, + 100000000000000ull, 1000000000000000ull +}; + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_minnum (UINT64 * pres, UINT64 * px, UINT64 * py _EXC_FLAGS_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +UINT64 +bid64_minnum (UINT64 x, UINT64 y _EXC_FLAGS_PARAM) { +#endif + + UINT64 res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0; + + // check for non-canonical x + if ((x & MASK_NAN) == MASK_NAN) { // x is NaN + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + x = x & (MASK_SIGN | MASK_INF); + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + x = (x & MASK_SIGN) | ((x & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // check for non-canonical y + if ((y & MASK_NAN) == MASK_NAN) { // y is NaN + y = y & 0xfe03ffffffffffffull; // clear G6-G12 + if ((y & 0x0003ffffffffffffull) > 999999999999999ull) { + y = y & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((y & MASK_INF) == MASK_INF) { // check for Infinity + y = y & (MASK_SIGN | MASK_INF); + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((y & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + y = (y & MASK_SIGN) | ((y & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // NaN (CASE1) + if ((x & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x = x & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y = y & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal, return either number + if (x == y) { + res = x; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return x + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = x; + BID_RETURN (res); + } + // x is pos infinity, return y + else { + res = y; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return y + // if y is negative infinity, then x is greater, return x + res = ((y & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + } + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore + // ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // ignore the exponent field + // (Any non-canonical # is considered 0) + if (sig_x == 0) { + x_is_zero = 1; + } + if (sig_y == 0) { + y_is_zero = 1; + } + + if (x_is_zero && y_is_zero) { + // if both numbers are zero, neither is greater => return either + res = y; + BID_RETURN (res); + } else if (x_is_zero) { + // is x is zero, it is greater if Y is negative + res = ((y & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } else if (y_is_zero) { + // is y is zero, X is greater if it is positive + res = ((x & MASK_SIGN) != MASK_SIGN) ? y : x;; + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN) ? y : x; + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN) ? y : x; // difference cannot be >10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = y; + BID_RETURN (res); + } + + res = (((sig_n_prime.w[1] > 0) + || sig_n_prime.w[0] > sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)) ? y : x; + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // if postitive, return whichever significand is larger (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = y; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] == 0) + && (sig_x > sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)) ? y : x; + BID_RETURN (res); +} + +/***************************************************************************** + * BID64 minimum magnitude function - returns greater of two numbers + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_minnum_mag (UINT64 * pres, UINT64 * px, + UINT64 * py _EXC_FLAGS_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +UINT64 +bid64_minnum_mag (UINT64 x, UINT64 y _EXC_FLAGS_PARAM) { +#endif + + UINT64 res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + + // check for non-canonical x + if ((x & MASK_NAN) == MASK_NAN) { // x is NaN + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + x = x & (MASK_SIGN | MASK_INF); + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + x = (x & MASK_SIGN) | ((x & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // check for non-canonical y + if ((y & MASK_NAN) == MASK_NAN) { // y is NaN + y = y & 0xfe03ffffffffffffull; // clear G6-G12 + if ((y & 0x0003ffffffffffffull) > 999999999999999ull) { + y = y & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((y & MASK_INF) == MASK_INF) { // check for Infinity + y = y & (MASK_SIGN | MASK_INF); + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((y & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + y = (y & MASK_SIGN) | ((y & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // NaN (CASE1) + if ((x & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x = x & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y = y & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal, return either number + if (x == y) { + res = x; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // x is infinity, its magnitude is greater than or equal to y + // return x only if y is infinity and x is negative + res = ((x & MASK_SIGN) == MASK_SIGN + && (y & MASK_INF) == MASK_INF) ? x : y; + BID_RETURN (res); + } else if ((y & MASK_INF) == MASK_INF) { + // y is infinity, then it must be greater in magnitude, return x + res = x; + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + } + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore + // ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // ignore the exponent field + // (Any non-canonical # is considered 0) + if (sig_x == 0) { + res = x; // x_is_zero, its magnitude must be smaller than y + BID_RETURN (res); + } + if (sig_y == 0) { + res = y; // y_is_zero, its magnitude must be smaller than x + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x >= exp_y) { + res = y; + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = x; + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = y; // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = x; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // now, sig_n_prime has: sig_x * 10^(exp_x-exp_y), this is + // the compensated signif. + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + // two numbers are equal, return minNum(x,y) + res = ((y & MASK_SIGN) == MASK_SIGN) ? y : x; + BID_RETURN (res); + } + // now, if compensated_x (sig_n_prime) is greater than y, return y, + // otherwise return x + res = ((sig_n_prime.w[1] != 0) || sig_n_prime.w[0] > sig_y) ? y : x; + BID_RETURN (res); + } + // exp_y must be greater than exp_x, thus adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = ((y & MASK_SIGN) == MASK_SIGN) ? y : x; + // two numbers are equal, return either + BID_RETURN (res); + } + + res = ((sig_n_prime.w[1] == 0) && (sig_x > sig_n_prime.w[0])) ? y : x; + BID_RETURN (res); +} + +/***************************************************************************** + * BID64 maximum function - returns greater of two numbers + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_maxnum (UINT64 * pres, UINT64 * px, UINT64 * py _EXC_FLAGS_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +UINT64 +bid64_maxnum (UINT64 x, UINT64 y _EXC_FLAGS_PARAM) { +#endif + + UINT64 res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0; + + // check for non-canonical x + if ((x & MASK_NAN) == MASK_NAN) { // x is NaN + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + x = x & (MASK_SIGN | MASK_INF); + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + x = (x & MASK_SIGN) | ((x & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // check for non-canonical y + if ((y & MASK_NAN) == MASK_NAN) { // y is NaN + y = y & 0xfe03ffffffffffffull; // clear G6-G12 + if ((y & 0x0003ffffffffffffull) > 999999999999999ull) { + y = y & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((y & MASK_INF) == MASK_INF) { // check for Infinity + y = y & (MASK_SIGN | MASK_INF); + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((y & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + y = (y & MASK_SIGN) | ((y & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // NaN (CASE1) + if ((x & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x = x & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y = y & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal (not Greater). + if (x == y) { + res = x; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // if x is neg infinity, there is no way it is greater than y, return y + // x is pos infinity, it is greater, unless y is positive infinity => + // return y!=pos_infinity + if (((x & MASK_SIGN) == MASK_SIGN)) { + res = y; + BID_RETURN (res); + } else { + res = (((y & MASK_INF) != MASK_INF) + || ((y & MASK_SIGN) == MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so if y is positive infinity, then x is less, return y + // if y is negative infinity, then x is greater, return x + res = ((y & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + } + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore + // ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // ignore the exponent field + // (Any non-canonical # is considered 0) + if (sig_x == 0) { + x_is_zero = 1; + } + if (sig_y == 0) { + y_is_zero = 1; + } + + if (x_is_zero && y_is_zero) { + // if both numbers are zero, neither is greater => return NOTGREATERTHAN + res = y; + BID_RETURN (res); + } else if (x_is_zero) { + // is x is zero, it is greater if Y is negative + res = ((y & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } else if (y_is_zero) { + // is y is zero, X is greater if it is positive + res = ((x & MASK_SIGN) != MASK_SIGN) ? x : y;; + BID_RETURN (res); + } + // OPPOSITE SIGN (CASE5) + // now, if the sign bits differ, x is greater if y is negative + if (((x ^ y) & MASK_SIGN) == MASK_SIGN) { + res = ((y & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN) ? x : y; + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN) ? x : y; + // difference cannot be > 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // if postitive, return whichever significand is larger + // (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + res = y; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] > 0) + || sig_n_prime.w[0] > sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN)) ? x : y; + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // if postitive, return whichever significand is larger (converse if negative) + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = y; + BID_RETURN (res); + } + res = (((sig_n_prime.w[1] == 0) + && (sig_x > sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN)) ? x : y; + BID_RETURN (res); +} + +/***************************************************************************** + * BID64 maximum magnitude function - returns greater of two numbers + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_maxnum_mag (UINT64 * pres, UINT64 * px, + UINT64 * py _EXC_FLAGS_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +UINT64 +bid64_maxnum_mag (UINT64 x, UINT64 y _EXC_FLAGS_PARAM) { +#endif + + UINT64 res; + int exp_x, exp_y; + UINT64 sig_x, sig_y; + UINT128 sig_n_prime; + + // check for non-canonical x + if ((x & MASK_NAN) == MASK_NAN) { // x is NaN + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + x = x & (MASK_SIGN | MASK_INF); + } else { // x is not special + // check for non-canonical values - treated as zero + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + x = (x & MASK_SIGN) | ((x & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // check for non-canonical y + if ((y & MASK_NAN) == MASK_NAN) { // y is NaN + y = y & 0xfe03ffffffffffffull; // clear G6-G12 + if ((y & 0x0003ffffffffffffull) > 999999999999999ull) { + y = y & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + } + } else if ((y & MASK_INF) == MASK_INF) { // check for Infinity + y = y & (MASK_SIGN | MASK_INF); + } else { // y is not special + // check for non-canonical values - treated as zero + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11, then the exponent is G[0:w+1] + if (((y & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + y = (y & MASK_SIGN) | ((y & MASK_BINARY_EXPONENT2) << 2); + } // else canonical + } // else canonical + } + + // NaN (CASE1) + if ((x & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x & MASK_SNAN) == MASK_SNAN) { // x is SNaN + // if x is SNAN, then return quiet (x) + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + x = x & 0xfdffffffffffffffull; // quietize x + res = x; + } else { // x is QNaN + if ((y & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + *pfpsf |= INVALID_EXCEPTION; // set invalid flag + } + res = x; + } else { + res = y; + } + } + BID_RETURN (res); + } else if ((y & MASK_NAN) == MASK_NAN) { // y is NaN, but x is not + if ((y & MASK_SNAN) == MASK_SNAN) { + *pfpsf |= INVALID_EXCEPTION; // set exception if SNaN + y = y & 0xfdffffffffffffffull; // quietize y + res = y; + } else { + // will return x (which is not NaN) + res = x; + } + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal, return either number + if (x == y) { + res = x; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // x is infinity, its magnitude is greater than or equal to y + // return y as long as x isn't negative infinity + res = ((x & MASK_SIGN) == MASK_SIGN + && (y & MASK_INF) == MASK_INF) ? y : x; + BID_RETURN (res); + } else if ((y & MASK_INF) == MASK_INF) { + // y is infinity, then it must be greater in magnitude + res = y; + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + } + + // ZERO (CASE4) + // some properties: + // (+ZERO == -ZERO) => therefore + // ignore the sign, and neither number is greater + // (ZERO x 10^A == ZERO x 10^B) for any valid A, B => + // ignore the exponent field + // (Any non-canonical # is considered 0) + if (sig_x == 0) { + res = y; // x_is_zero, its magnitude must be smaller than y + BID_RETURN (res); + } + if (sig_y == 0) { + res = x; // y_is_zero, its magnitude must be smaller than x + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x >= exp_y) { + res = x; + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = y; + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, no need for compensation + if (exp_x - exp_y > 15) { + res = x; // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, no need for compensation + if (exp_y - exp_x > 15) { + res = y; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down to the compensated significand + if (exp_x > exp_y) { // to simplify the loop below, + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // now, sig_n_prime has: sig_x * 10^(exp_x-exp_y), + // this is the compensated signif. + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + // two numbers are equal, return maxNum(x,y) + res = ((y & MASK_SIGN) == MASK_SIGN) ? x : y; + BID_RETURN (res); + } + // now, if compensated_x (sig_n_prime) is greater than y return y, + // otherwise return x + res = ((sig_n_prime.w[1] != 0) || sig_n_prime.w[0] > sig_y) ? x : y; + BID_RETURN (res); + } + // exp_y must be greater than exp_x, thus adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = ((y & MASK_SIGN) == MASK_SIGN) ? x : y; + // two numbers are equal, return either + BID_RETURN (res); + } + + res = ((sig_n_prime.w[1] == 0) && (sig_x > sig_n_prime.w[0])) ? x : y; + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_mul.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_mul.c new file mode 100644 index 0000000000..d2ac42c5d5 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_mul.c @@ -0,0 +1,374 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID64 multiply + ***************************************************************************** + * + * Algorithm description: + * + * if(number_digits(coefficient_x)+number_digits(coefficient_y) guaranteed + * below 16) + * return get_BID64(sign_x^sign_y, exponent_x + exponent_y - dec_bias, + * coefficient_x*coefficient_y) + * else + * get long product: coefficient_x*coefficient_y + * determine number of digits to round off (extra_digits) + * rounding is performed as a 128x128-bit multiplication by + * 2^M[extra_digits]/10^extra_digits, followed by a shift + * M[extra_digits] is sufficiently large for required accuracy + * + ****************************************************************************/ + +#include "bid_internal.h" + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_mul (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x, y; +#else + +UINT64 +bid64_mul (UINT64 x, + UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 P, PU, C128, Q_high, Q_low, Stemp; + UINT64 sign_x, sign_y, coefficient_x, coefficient_y; + UINT64 C64, remainder_h, carry, CY, res; + UINT64 valid_x, valid_y; + int_double tempx, tempy; + int extra_digits, exponent_x, exponent_y, bin_expon_cx, bin_expon_cy, + bin_expon_product; + int rmode, digits_p, bp, amount, amount2, final_exponent, round_up; + unsigned status, uf_status; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; + y = *py; +#endif + + valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x); + valid_y = unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y); + + // unpack arguments, check for NaN or Infinity + if (!valid_x) { + +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // x is Inf. or NaN + + // test if x is NaN + if ((x & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (coefficient_x & QUIET_MASK64); + } + // x is Infinity? + if ((x & INFINITY_MASK64) == INFINITY_MASK64) { + // check if y is 0 + if (((y & INFINITY_MASK64) != INFINITY_MASK64) + && !coefficient_y) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // y==0 , return NaN + BID_RETURN (NAN_MASK64); + } + // check if y is NaN + if ((y & NAN_MASK64) == NAN_MASK64) + // y==NaN , return NaN + BID_RETURN (coefficient_y & QUIET_MASK64); + // otherwise return +/-Inf + BID_RETURN (((x ^ y) & 0x8000000000000000ull) | INFINITY_MASK64); + } + // x is 0 + if (((y & INFINITY_MASK64) != INFINITY_MASK64)) { + if ((y & SPECIAL_ENCODING_MASK64) == SPECIAL_ENCODING_MASK64) + exponent_y = ((UINT32) (y >> 51)) & 0x3ff; + else + exponent_y = ((UINT32) (y >> 53)) & 0x3ff; + sign_y = y & 0x8000000000000000ull; + + exponent_x += exponent_y - DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + BID_RETURN ((sign_x ^ sign_y) | (((UINT64) exponent_x) << 53)); + } + } + if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y & NAN_MASK64) == NAN_MASK64) { +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (coefficient_y & QUIET_MASK64); + } + // y is Infinity? + if ((y & INFINITY_MASK64) == INFINITY_MASK64) { + // check if x is 0 + if (!coefficient_x) { + __set_status_flags (pfpsf, INVALID_EXCEPTION); + // x==0, return NaN + BID_RETURN (NAN_MASK64); + } + // otherwise return +/-Inf + BID_RETURN (((x ^ y) & 0x8000000000000000ull) | INFINITY_MASK64); + } + // y is 0 + exponent_x += exponent_y - DECIMAL_EXPONENT_BIAS; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + else if (exponent_x < 0) + exponent_x = 0; + BID_RETURN ((sign_x ^ sign_y) | (((UINT64) exponent_x) << 53)); + } + //--- get number of bits in the coefficients of x and y --- + // version 2 (original) + tempx.d = (double) coefficient_x; + bin_expon_cx = ((tempx.i & MASK_BINARY_EXPONENT) >> 52); + tempy.d = (double) coefficient_y; + bin_expon_cy = ((tempy.i & MASK_BINARY_EXPONENT) >> 52); + + // magnitude estimate for coefficient_x*coefficient_y is + // 2^(unbiased_bin_expon_cx + unbiased_bin_expon_cx) + bin_expon_product = bin_expon_cx + bin_expon_cy; + + // check if coefficient_x*coefficient_y<2^(10*k+3) + // equivalent to unbiased_bin_expon_cx + unbiased_bin_expon_cx < 10*k+1 + if (bin_expon_product < UPPER_EXPON_LIMIT + 2 * BINARY_EXPONENT_BIAS) { + // easy multiply + C64 = coefficient_x * coefficient_y; + + res = + get_BID64_small_mantissa (sign_x ^ sign_y, + exponent_x + exponent_y - + DECIMAL_EXPONENT_BIAS, C64, rnd_mode, + pfpsf); + BID_RETURN (res); + } else { + uf_status = 0; + // get 128-bit product: coefficient_x*coefficient_y + __mul_64x64_to_128 (P, coefficient_x, coefficient_y); + + // tighten binary range of P: leading bit is 2^bp + // unbiased_bin_expon_product <= bp <= unbiased_bin_expon_product+1 + bin_expon_product -= 2 * BINARY_EXPONENT_BIAS; + + __tight_bin_range_128 (bp, P, bin_expon_product); + + // get number of decimal digits in the product + digits_p = estimate_decimal_digits[bp]; + if (!(__unsigned_compare_gt_128 (power10_table_128[digits_p], P))) + digits_p++; // if power10_table_128[digits_p] <= P + + // determine number of decimal digits to be rounded out + extra_digits = digits_p - MAX_FORMAT_DIGITS; + final_exponent = + exponent_x + exponent_y + extra_digits - DECIMAL_EXPONENT_BIAS; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x ^ sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + + round_up = 0; + if (((unsigned) final_exponent) >= 3 * 256) { + if (final_exponent < 0) { + // underflow + if (final_exponent + 16 < 0) { + res = sign_x ^ sign_y; + __set_status_flags (pfpsf, + UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); + if (rmode == ROUNDING_UP) + res |= 1; + BID_RETURN (res); + } + + uf_status = UNDERFLOW_EXCEPTION; + if (final_exponent == -1) { + __add_128_64 (PU, P, round_const_table[rmode][extra_digits]); + if (__unsigned_compare_ge_128 + (PU, power10_table_128[extra_digits + 16])) + uf_status = 0; + } + extra_digits -= final_exponent; + final_exponent = 0; + + if (extra_digits > 17) { + __mul_128x128_full (Q_high, Q_low, P, reciprocals10_128[16]); + + amount = recip_scale[16]; + __shr_128 (P, Q_high, amount); + + // get sticky bits + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & Q_high.w[0]; + + extra_digits -= 16; + if (remainder_h || (Q_low.w[1] > reciprocals10_128[16].w[1] + || (Q_low.w[1] == + reciprocals10_128[16].w[1] + && Q_low.w[0] >= + reciprocals10_128[16].w[0]))) { + round_up = 1; + __set_status_flags (pfpsf, + UNDERFLOW_EXCEPTION | + INEXACT_EXCEPTION); + P.w[0] = (P.w[0] << 3) + (P.w[0] << 1); + P.w[0] |= 1; + extra_digits++; + } + } + } else { + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, final_exponent, + 1000000000000000ull, rnd_mode, + pfpsf); + BID_RETURN (res); + } + } + + + if (extra_digits > 0) { + // will divide by 10^(digits_p - 16) + + // add a constant to P, depending on rounding mode + // 0.5*10^(digits_p - 16) for round-to-nearest + __add_128_64 (P, P, round_const_table[rmode][extra_digits]); + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_full (Q_high, Q_low, P, + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + __shr_128 (C128, Q_high, amount); + + C64 = __low_64 (C128); + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if ((C64 & 1) && !round_up) { + // check whether fractional part of initial_P/10^extra_digits + // is exactly .5 + // this is the same as fractional part of + // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero + + // get remainder + remainder_h = Q_high.w[0] << (64 - amount); + + // test whether fractional part is 0 + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status = INEXACT_EXCEPTION | uf_status; + + // get remainder + remainder_h = Q_high.w[0] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Q_low.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Q_low.w[1], + reciprocals10_128[extra_digits].w[1], CY); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + __set_status_flags (pfpsf, status); +#endif + + // convert to BID and return + res = + fast_get_BID64_check_OF (sign_x ^ sign_y, final_exponent, C64, + rmode, pfpsf); + BID_RETURN (res); + } + // go to convert_format and exit + C64 = __low_64 (P); + res = + get_BID64 (sign_x ^ sign_y, + exponent_x + exponent_y - DECIMAL_EXPONENT_BIAS, C64, + rmode, pfpsf); + BID_RETURN (res); + } +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_next.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_next.c new file mode 100644 index 0000000000..9acfd42e12 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_next.c @@ -0,0 +1,481 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64 nextup + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_nextup (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_nextup (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q1, ind; + UINT64 C1; // C1 represents x_signif (UINT64) + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + if (!(x & 0x8000000000000000ull)) { // x is +inf + res = 0x7800000000000000ull; + } else { // x is -inf + res = 0xf7fb86f26fc0ffffull; // -MAXFP = -999...99 * 10^emax + } + BID_RETURN (res); + } + // unpack the argument + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000001ull; // MINFP = 1 * 10^emin + } else { // x is not special and is not zero + if (x == 0x77fb86f26fc0ffffull) { + // x = +MAXFP = 999...99 * 10^emax + res = 0x7800000000000000ull; // +inf + } else if (x == 0x8000000000000001ull) { + // x = -MINFP = 1...99 * 10^emin + res = 0x8000000000000000ull; // -0 + } else { // -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + // can add/subtract 1 ulp to the significand + + // Note: we could check here if x >= 10^16 to speed up the case q1 =16 + // q1 = nr. of decimal digits in x (1 <= q1 <= 54) + // determine first the nr. of bits in x + if (C1 >= MASK_BINARY_OR2) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q1 = nr_digits[x_nr_bits - 1].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q1++; + } + // if q1 < P16 then pad the significand with zeros + if (q1 < P16) { + if (x_exp > (UINT64) (P16 - q1)) { + ind = P16 - q1; // 1 <= ind <= P16 - 1 + // pad with P16 - q1 zeros, until exponent = emin + // C1 = C1 * 10^ind + C1 = C1 * ten2k64[ind]; + x_exp = x_exp - ind; + } else { // pad with zeros until the exponent reaches emin + ind = x_exp; + C1 = C1 * ten2k64[ind]; + x_exp = EXP_MIN; + } + } + if (!x_sign) { // x > 0 + // add 1 ulp (add 1 to the significand) + C1++; + if (C1 == 0x002386f26fc10000ull) { // if C1 = 10^16 + C1 = 0x00038d7ea4c68000ull; // C1 = 10^15 + x_exp++; + } + // Ok, because MAXFP = 999...99 * 10^emax was caught already + } else { // x < 0 + // subtract 1 ulp (subtract 1 from the significand) + C1--; + if (C1 == 0x00038d7ea4c67fffull && x_exp != 0) { // if C1 = 10^15 - 1 + C1 = 0x002386f26fc0ffffull; // C1 = 10^16 - 1 + x_exp--; + } + } + // assemble the result + // if significand has 54 bits + if (C1 & MASK_BINARY_OR2) { + res = + x_sign | (x_exp << 51) | MASK_STEERING_BITS | (C1 & + MASK_BINARY_SIG2); + } else { // significand fits in 53 bits + res = x_sign | (x_exp << 53) | C1; + } + } // end -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + } // end x is not special and is not zero + BID_RETURN (res); +} + +/***************************************************************************** + * BID64 nextdown + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_nextdown (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_nextdown (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q1, ind; + UINT64 C1; // C1 represents x_signif (UINT64) + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + if (x & 0x8000000000000000ull) { // x is -inf + res = 0xf800000000000000ull; + } else { // x is +inf + res = 0x77fb86f26fc0ffffull; // +MAXFP = +999...99 * 10^emax + } + BID_RETURN (res); + } + // unpack the argument + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x8000000000000001ull; // -MINFP = -1 * 10^emin + } else { // x is not special and is not zero + if (x == 0xf7fb86f26fc0ffffull) { + // x = -MAXFP = -999...99 * 10^emax + res = 0xf800000000000000ull; // -inf + } else if (x == 0x0000000000000001ull) { + // x = +MINFP = 1...99 * 10^emin + res = 0x0000000000000000ull; // -0 + } else { // -MAXFP + 1ulp <= x <= -MINFP OR MINFP + 1 ulp <= x <= MAXFP + // can add/subtract 1 ulp to the significand + + // Note: we could check here if x >= 10^16 to speed up the case q1 =16 + // q1 = nr. of decimal digits in x (1 <= q1 <= 16) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid + // rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q1 = nr_digits[x_nr_bits - 1].digits; + if (q1 == 0) { + q1 = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q1++; + } + // if q1 < P16 then pad the significand with zeros + if (q1 < P16) { + if (x_exp > (UINT64) (P16 - q1)) { + ind = P16 - q1; // 1 <= ind <= P16 - 1 + // pad with P16 - q1 zeros, until exponent = emin + // C1 = C1 * 10^ind + C1 = C1 * ten2k64[ind]; + x_exp = x_exp - ind; + } else { // pad with zeros until the exponent reaches emin + ind = x_exp; + C1 = C1 * ten2k64[ind]; + x_exp = EXP_MIN; + } + } + if (x_sign) { // x < 0 + // add 1 ulp (add 1 to the significand) + C1++; + if (C1 == 0x002386f26fc10000ull) { // if C1 = 10^16 + C1 = 0x00038d7ea4c68000ull; // C1 = 10^15 + x_exp++; + // Ok, because -MAXFP = -999...99 * 10^emax was caught already + } + } else { // x > 0 + // subtract 1 ulp (subtract 1 from the significand) + C1--; + if (C1 == 0x00038d7ea4c67fffull && x_exp != 0) { // if C1 = 10^15 - 1 + C1 = 0x002386f26fc0ffffull; // C1 = 10^16 - 1 + x_exp--; + } + } + // assemble the result + // if significand has 54 bits + if (C1 & MASK_BINARY_OR2) { + res = + x_sign | (x_exp << 51) | MASK_STEERING_BITS | (C1 & + MASK_BINARY_SIG2); + } else { // significand fits in 53 bits + res = x_sign | (x_exp << 53) | C1; + } + } // end -MAXFP <= x <= -MINFP - 1 ulp OR MINFP <= x <= MAXFP - 1 ulp + } // end x is not special and is not zero + BID_RETURN (res); +} + +/***************************************************************************** + * BID64 nextafter + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_nextafter (UINT64 * pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +UINT64 +bid64_nextafter (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 res; + UINT64 tmp1, tmp2; + FPSC tmp_fpsf = 0; // dummy fpsf for calls to comparison functions + int res1, res2; + + // check for NaNs or infinities + if (((x & MASK_SPECIAL) == MASK_SPECIAL) || + ((y & MASK_SPECIAL) == MASK_SPECIAL)) { + // x is NaN or infinity or y is NaN or infinity + + if ((x & MASK_NAN) == MASK_NAN) { // x is NAN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // x is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (x) + res = x & 0xfdffffffffffffffull; + } else { // x is QNaN + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + } + // return x + res = x; + } + BID_RETURN (res); + } else if ((y & MASK_NAN) == MASK_NAN) { // y is NAN + if ((y & 0x0003ffffffffffffull) > 999999999999999ull) + y = y & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + y = y & 0xfe03ffffffffffffull; // clear G6-G12 + if ((y & MASK_SNAN) == MASK_SNAN) { // y is SNAN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (y) + res = y & 0xfdffffffffffffffull; + } else { // y is QNaN + // return y + res = y; + } + BID_RETURN (res); + } else { // at least one is infinity + if ((x & MASK_ANY_INF) == MASK_INF) { // x = inf + x = x & (MASK_SIGN | MASK_INF); + } + if ((y & MASK_ANY_INF) == MASK_INF) { // y = inf + y = y & (MASK_SIGN | MASK_INF); + } + } + } + // neither x nor y is NaN + + // if not infinity, check for non-canonical values x (treated as zero) + if ((x & MASK_ANY_INF) != MASK_INF) { // x != inf + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + if (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull) { + // non-canonical + x = (x & MASK_SIGN) | ((x & MASK_BINARY_EXPONENT2) << 2); + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) x is unch. + ; // canonical + } + } + // no need to check for non-canonical y + + // neither x nor y is NaN + tmp_fpsf = *pfpsf; // save fpsf +#if DECIMAL_CALL_BY_REFERENCE + bid64_quiet_equal (&res1, px, + py _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + bid64_quiet_greater (&res2, px, + py _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#else + res1 = + bid64_quiet_equal (x, + y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); + res2 = + bid64_quiet_greater (x, + y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#endif + *pfpsf = tmp_fpsf; // restore fpsf + if (res1) { // x = y + // return x with the sign of y + res = (y & 0x8000000000000000ull) | (x & 0x7fffffffffffffffull); + } else if (res2) { // x > y +#if DECIMAL_CALL_BY_REFERENCE + bid64_nextdown (&res, + px _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#else + res = + bid64_nextdown (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#endif + } else { // x < y +#if DECIMAL_CALL_BY_REFERENCE + bid64_nextup (&res, px _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#else + res = bid64_nextup (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); +#endif + } + // if the operand x is finite but the result is infinite, signal + // overflow and inexact + if (((x & MASK_INF) != MASK_INF) && ((res & MASK_INF) == MASK_INF)) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the overflow flag + *pfpsf |= OVERFLOW_EXCEPTION; + } + // if the result is in (-10^emin, 10^emin), and is different from the + // operand x, signal underflow and inexact + tmp1 = 0x00038d7ea4c68000ull; // +100...0[16] * 10^emin + tmp2 = res & 0x7fffffffffffffffull; + tmp_fpsf = *pfpsf; // save fpsf +#if DECIMAL_CALL_BY_REFERENCE + bid64_quiet_greater (&res1, &tmp1, + &tmp2 _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); + bid64_quiet_not_equal (&res2, &x, + &res _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#else + res1 = + bid64_quiet_greater (tmp1, + tmp2 _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); + res2 = + bid64_quiet_not_equal (x, + res _EXC_FLAGS_ARG _EXC_MASKS_ARG + _EXC_INFO_ARG); +#endif + *pfpsf = tmp_fpsf; // restore fpsf + if (res1 && res2) { + // if (bid64_quiet_greater (tmp1, tmp2, &tmp_fpsf) && + // bid64_quiet_not_equal (x, res, &tmp_fpsf)) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // set the underflow flag + *pfpsf |= UNDERFLOW_EXCEPTION; + } + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_noncomp.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_noncomp.c new file mode 100644 index 0000000000..dc2387f4e1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_noncomp.c @@ -0,0 +1,954 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +static const UINT64 mult_factor[16] = { + 1ull, 10ull, 100ull, 1000ull, + 10000ull, 100000ull, 1000000ull, 10000000ull, + 100000000ull, 1000000000ull, 10000000000ull, 100000000000ull, + 1000000000000ull, 10000000000000ull, + 100000000000000ull, 1000000000000000ull +}; + +/***************************************************************************** + * BID64 non-computational functions: + * - bid64_isSigned + * - bid64_isNormal + * - bid64_isSubnormal + * - bid64_isFinite + * - bid64_isZero + * - bid64_isInf + * - bid64_isSignaling + * - bid64_isCanonical + * - bid64_isNaN + * - bid64_copy + * - bid64_negate + * - bid64_abs + * - bid64_copySign + * - bid64_class + * - bid64_sameQuantum + * - bid64_totalOrder + * - bid64_totalOrderMag + * - bid64_radix + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isSigned (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isSigned (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); +} + +// return 1 iff x is not zero, nor NaN nor subnormal nor infinity +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isNormal (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isNormal (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT128 sig_x_prime; + UINT64 sig_x; + unsigned int exp_x; + + if ((x & MASK_INF) == MASK_INF) { // x is either INF or NaN + res = 0; + } else { + // decode number into exponent and significand + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + // check for zero or non-canonical + if (sig_x > 9999999999999999ull || sig_x == 0) { + res = 0; // zero or non-canonical + BID_RETURN (res); + } + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + } else { + sig_x = (x & MASK_BINARY_SIG1); + if (sig_x == 0) { + res = 0; // zero + BID_RETURN (res); + } + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + } + // if exponent is less than -383, the number may be subnormal + // if (exp_x - 398 = -383) the number may be subnormal + if (exp_x < 15) { + __mul_64x64_to_128MACH (sig_x_prime, sig_x, mult_factor[exp_x]); + if (sig_x_prime.w[1] == 0 + && sig_x_prime.w[0] < 1000000000000000ull) { + res = 0; // subnormal + } else { + res = 1; // normal + } + } else { + res = 1; // normal + } + } + BID_RETURN (res); +} + +// return 1 iff x is not zero, nor NaN nor normal nor infinity +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isSubnormal (int *pres, + UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isSubnormal (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT128 sig_x_prime; + UINT64 sig_x; + unsigned int exp_x; + + if ((x & MASK_INF) == MASK_INF) { // x is either INF or NaN + res = 0; + } else { + // decode number into exponent and significand + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + // check for zero or non-canonical + if (sig_x > 9999999999999999ull || sig_x == 0) { + res = 0; // zero or non-canonical + BID_RETURN (res); + } + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + } else { + sig_x = (x & MASK_BINARY_SIG1); + if (sig_x == 0) { + res = 0; // zero + BID_RETURN (res); + } + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + } + // if exponent is less than -383, the number may be subnormal + // if (exp_x - 398 = -383) the number may be subnormal + if (exp_x < 15) { + __mul_64x64_to_128MACH (sig_x_prime, sig_x, mult_factor[exp_x]); + if (sig_x_prime.w[1] == 0 + && sig_x_prime.w[0] < 1000000000000000ull) { + res = 1; // subnormal + } else { + res = 0; // normal + } + } else { + res = 0; // normal + } + } + BID_RETURN (res); +} + +//iff x is zero, subnormal or normal (not infinity or NaN) +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isFinite (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isFinite (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x & MASK_INF) != MASK_INF); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isZero (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isZero (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + // if infinity or nan, return 0 + if ((x & MASK_INF) == MASK_INF) { + res = 0; + } else if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] + // => sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + // if(sig_x > 9999999999999999ull) {return 1;} + res = + (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) > + 9999999999999999ull); + } else { + res = ((x & MASK_BINARY_SIG1) == 0); + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isInf (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isInf (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x & MASK_INF) == MASK_INF) && ((x & MASK_NAN) != MASK_NAN); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isSignaling (int *pres, + UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isSignaling (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x & MASK_SNAN) == MASK_SNAN); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isCanonical (int *pres, + UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isCanonical (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + if ((x & MASK_NAN) == MASK_NAN) { // NaN + if (x & 0x01fc000000000000ull) { + res = 0; + } else if ((x & 0x0003ffffffffffffull) > 999999999999999ull) { // payload + res = 0; + } else { + res = 1; + } + } else if ((x & MASK_INF) == MASK_INF) { + if (x & 0x03ffffffffffffffull) { + res = 0; + } else { + res = 1; + } + } else if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { // 54-bit coeff. + res = + (((x & MASK_BINARY_SIG2) | MASK_BINARY_OR2) <= + 9999999999999999ull); + } else { // 53-bit coeff. + res = 1; + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_isNaN (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_isNaN (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + + res = ((x & MASK_NAN) == MASK_NAN); + BID_RETURN (res); +} + +// copies a floating-point operand x to destination y, with no change +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_copy (UINT64 * pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_copy (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 res; + + res = x; + BID_RETURN (res); +} + +// copies a floating-point operand x to destination y, reversing the sign +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_negate (UINT64 * pres, + UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_negate (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 res; + + res = x ^ MASK_SIGN; + BID_RETURN (res); +} + +// copies a floating-point operand x to destination y, changing the sign to positive +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_abs (UINT64 * pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_abs (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 res; + + res = x & ~MASK_SIGN; + BID_RETURN (res); +} + +// copies operand x to destination in the same format as x, but +// with the sign of y +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_copySign (UINT64 * pres, UINT64 * px, + UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +UINT64 +bid64_copySign (UINT64 x, UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 res; + + res = (x & ~MASK_SIGN) | (y & MASK_SIGN); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_class (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_class (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + UINT128 sig_x_prime; + UINT64 sig_x; + int exp_x; + + if ((x & MASK_NAN) == MASK_NAN) { + // is the NaN signaling? + if ((x & MASK_SNAN) == MASK_SNAN) { + res = signalingNaN; + BID_RETURN (res); + } + // if NaN and not signaling, must be quietNaN + res = quietNaN; + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { + // is the Infinity negative? + if ((x & MASK_SIGN) == MASK_SIGN) { + res = negativeInfinity; + } else { + // otherwise, must be positive infinity + res = positiveInfinity; + } + BID_RETURN (res); + } else if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // decode number into exponent and significand + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + // check for zero or non-canonical + if (sig_x > 9999999999999999ull || sig_x == 0) { + if ((x & MASK_SIGN) == MASK_SIGN) { + res = negativeZero; + } else { + res = positiveZero; + } + BID_RETURN (res); + } + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + } else { + sig_x = (x & MASK_BINARY_SIG1); + if (sig_x == 0) { + res = + ((x & MASK_SIGN) == MASK_SIGN) ? negativeZero : positiveZero; + BID_RETURN (res); + } + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + } + // if exponent is less than -383, number may be subnormal + // if (exp_x - 398 < -383) + if (exp_x < 15) { // sig_x *10^exp_x + __mul_64x64_to_128MACH (sig_x_prime, sig_x, mult_factor[exp_x]); + if (sig_x_prime.w[1] == 0 + && (sig_x_prime.w[0] < 1000000000000000ull)) { + res = + ((x & MASK_SIGN) == + MASK_SIGN) ? negativeSubnormal : positiveSubnormal; + BID_RETURN (res); + } + } + // otherwise, normal number, determine the sign + res = + ((x & MASK_SIGN) == MASK_SIGN) ? negativeNormal : positiveNormal; + BID_RETURN (res); +} + +// true if the exponents of x and y are the same, false otherwise. +// The special cases of sameQuantum (NaN, NaN) and sameQuantum (Inf, Inf) are +// true. +// If exactly one operand is infinite or exactly one operand is NaN, then false +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_sameQuantum (int *pres, UINT64 * px, + UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_sameQuantum (UINT64 x, UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + unsigned int exp_x, exp_y; + + // if both operands are NaN, return true; if just one is NaN, return false + if ((x & MASK_NAN) == MASK_NAN || ((y & MASK_NAN) == MASK_NAN)) { + res = ((x & MASK_NAN) == MASK_NAN && (y & MASK_NAN) == MASK_NAN); + BID_RETURN (res); + } + // if both operands are INF, return true; if just one is INF, return false + if ((x & MASK_INF) == MASK_INF || (y & MASK_INF) == MASK_INF) { + res = ((x & MASK_INF) == MASK_INF && (y & MASK_INF) == MASK_INF); + BID_RETURN (res); + } + // decode exponents for both numbers, and return true if they match + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + } + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + } + res = (exp_x == exp_y); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_totalOrder (int *pres, UINT64 * px, + UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_totalOrder (UINT64 x, UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y, pyld_y, pyld_x; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0; + + // NaN (CASE1) + // if x and y are unordered numerically because either operand is NaN + // (1) totalOrder(-NaN, number) is true + // (2) totalOrder(number, +NaN) is true + // (3) if x and y are both NaN: + // i) negative sign bit < positive sign bit + // ii) signaling < quiet for +NaN, reverse for -NaN + // iii) lesser payload < greater payload for +NaN (reverse for -NaN) + // iv) else if bitwise identical (in canonical form), return 1 + if ((x & MASK_NAN) == MASK_NAN) { + // if x is -NaN + if ((x & MASK_SIGN) == MASK_SIGN) { + // return true, unless y is -NaN also + if ((y & MASK_NAN) != MASK_NAN || (y & MASK_SIGN) != MASK_SIGN) { + res = 1; // y is a number, return 1 + BID_RETURN (res); + } else { // if y and x are both -NaN + // if x and y are both -sNaN or both -qNaN, we have to compare payloads + // this xnor statement evaluates to true if both are sNaN or qNaN + if (! + (((y & MASK_SNAN) == MASK_SNAN) ^ ((x & MASK_SNAN) == + MASK_SNAN))) { + // it comes down to the payload. we want to return true if x has a + // larger payload, or if the payloads are equal (canonical forms + // are bitwise identical) + pyld_y = y & 0x0003ffffffffffffull; + pyld_x = x & 0x0003ffffffffffffull; + if (pyld_y > 999999999999999ull || pyld_y == 0) { + // if y is zero, x must be less than or numerically equal + // y's payload is 0 + res = 1; + BID_RETURN (res); + } + // if x is zero and y isn't, x has the smaller payload + // definitely (since we know y isn't 0 at this point) + if (pyld_x > 999999999999999ull || pyld_x == 0) { + // x's payload is 0 + res = 0; + BID_RETURN (res); + } + res = (pyld_x >= pyld_y); + BID_RETURN (res); + } else { + // either x = -sNaN and y = -qNaN or x = -qNaN and y = -sNaN + res = (y & MASK_SNAN) == MASK_SNAN; // totalOrder(-qNaN, -sNaN) == 1 + BID_RETURN (res); + } + } + } else { // x is +NaN + // return false, unless y is +NaN also + if ((y & MASK_NAN) != MASK_NAN || (y & MASK_SIGN) == MASK_SIGN) { + res = 0; // y is a number, return 1 + BID_RETURN (res); + } else { + // x and y are both +NaN; + // must investigate payload if both quiet or both signaling + // this xnor statement will be true if both x and y are +qNaN or +sNaN + if (! + (((y & MASK_SNAN) == MASK_SNAN) ^ ((x & MASK_SNAN) == + MASK_SNAN))) { + // it comes down to the payload. we want to return true if x has a + // smaller payload, or if the payloads are equal (canonical forms + // are bitwise identical) + pyld_y = y & 0x0003ffffffffffffull; + pyld_x = x & 0x0003ffffffffffffull; + // if x is zero and y isn't, x has the smaller + // payload definitely (since we know y isn't 0 at this point) + if (pyld_x > 999999999999999ull || pyld_x == 0) { + res = 1; + BID_RETURN (res); + } + if (pyld_y > 999999999999999ull || pyld_y == 0) { + // if y is zero, x must be less than or numerically equal + res = 0; + BID_RETURN (res); + } + res = (pyld_x <= pyld_y); + BID_RETURN (res); + } else { + // return true if y is +qNaN and x is +sNaN + // (we know they're different bc of xor if_stmt above) + res = ((x & MASK_SNAN) == MASK_SNAN); + BID_RETURN (res); + } + } + } + } else if ((y & MASK_NAN) == MASK_NAN) { + // x is certainly not NAN in this case. + // return true if y is positive + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits are the same, these numbers are equal. + if (x == y) { + res = 1; + BID_RETURN (res); + } + // OPPOSITE SIGNS (CASE 3) + // if signs are opposite, return 1 if x is negative + // (if xy + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull || sig_x == 0) { + x_is_zero = 1; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + if (sig_x == 0) { + x_is_zero = 1; + } + } + + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull || sig_y == 0) { + y_is_zero = 1; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + if (sig_y == 0) { + y_is_zero = 1; + } + } + + // ZERO (CASE 5) + // if x and y represent the same entities, and + // both are negative , return true iff exp_x <= exp_y + if (x_is_zero && y_is_zero) { + if (!((x & MASK_SIGN) == MASK_SIGN) ^ + ((y & MASK_SIGN) == MASK_SIGN)) { + // if signs are the same: + // totalOrder(x,y) iff exp_x >= exp_y for negative numbers + // totalOrder(x,y) iff exp_x <= exp_y for positive numbers + if (exp_x == exp_y) { + res = 1; + BID_RETURN (res); + } + res = (exp_x <= exp_y) ^ ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } else { + // signs are different. + // totalOrder(-0, +0) is true + // totalOrder(+0, -0) is false + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + } + // if x is zero and y isn't, clearly x has the smaller payload. + if (x_is_zero) { + res = ((y & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if y is zero, and x isn't, clearly y has the smaller payload. + if (y_is_zero) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller, + // it is clear what needs to be done + if (sig_x > sig_y && exp_x >= exp_y) { + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, it is + // definitely larger, so no need for compensation + if (exp_x - exp_y > 15) { + // difference cannot be greater than 10^15 + res = ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, it is + // definitely smaller, no need for compensation + if (exp_y - exp_x > 15) { + res = ((x & MASK_SIGN) != MASK_SIGN); + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down + // to the compensated significand + if (exp_x > exp_y) { + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + // if x and y represent the same entities, + // and both are negative, return true iff exp_x <= exp_y + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + // case cannot occure, because all bits must + // be the same - would have been caught if (x==y) + res = (exp_x <= exp_y) ^ ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // if positive, return 1 if adjusted x is smaller than y + res = ((sig_n_prime.w[1] == 0) + && sig_n_prime.w[0] < sig_y) ^ ((x & MASK_SIGN) == + MASK_SIGN); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // if x and y represent the same entities, + // and both are negative, return true iff exp_x <= exp_y + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + // Cannot occur, because all bits must be the same. + // Case would have been caught if (x==y) + res = (exp_x <= exp_y) ^ ((x & MASK_SIGN) == MASK_SIGN); + BID_RETURN (res); + } + // values are not equal, for positive numbers return 1 + // if x is less than y. 0 otherwise + res = ((sig_n_prime.w[1] > 0) + || (sig_x < sig_n_prime.w[0])) ^ ((x & MASK_SIGN) == + MASK_SIGN); + BID_RETURN (res); +} + +// totalOrderMag is TotalOrder(abs(x), abs(y)) +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_totalOrderMag (int *pres, UINT64 * px, + UINT64 * py _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; + UINT64 y = *py; +#else +int +bid64_totalOrderMag (UINT64 x, + UINT64 y _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + int exp_x, exp_y; + UINT64 sig_x, sig_y, pyld_y, pyld_x; + UINT128 sig_n_prime; + char x_is_zero = 0, y_is_zero = 0; + + // NaN (CASE 1) + // if x and y are unordered numerically because either operand is NaN + // (1) totalOrder(number, +NaN) is true + // (2) if x and y are both NaN: + // i) signaling < quiet for +NaN + // ii) lesser payload < greater payload for +NaN + // iii) else if bitwise identical (in canonical form), return 1 + if ((x & MASK_NAN) == MASK_NAN) { + // x is +NaN + + // return false, unless y is +NaN also + if ((y & MASK_NAN) != MASK_NAN) { + res = 0; // y is a number, return 1 + BID_RETURN (res); + + } else { + + // x and y are both +NaN; + // must investigate payload if both quiet or both signaling + // this xnor statement will be true if both x and y are +qNaN or +sNaN + if (! + (((y & MASK_SNAN) == MASK_SNAN) ^ ((x & MASK_SNAN) == + MASK_SNAN))) { + // it comes down to the payload. we want to return true if x has a + // smaller payload, or if the payloads are equal (canonical forms + // are bitwise identical) + pyld_y = y & 0x0003ffffffffffffull; + pyld_x = x & 0x0003ffffffffffffull; + // if x is zero and y isn't, x has the smaller + // payload definitely (since we know y isn't 0 at this point) + if (pyld_x > 999999999999999ull || pyld_x == 0) { + res = 1; + BID_RETURN (res); + } + + if (pyld_y > 999999999999999ull || pyld_y == 0) { + // if y is zero, x must be less than or numerically equal + res = 0; + BID_RETURN (res); + } + res = (pyld_x <= pyld_y); + BID_RETURN (res); + + } else { + // return true if y is +qNaN and x is +sNaN + // (we know they're different bc of xor if_stmt above) + res = ((x & MASK_SNAN) == MASK_SNAN); + BID_RETURN (res); + } + } + + } else if ((y & MASK_NAN) == MASK_NAN) { + // x is certainly not NAN in this case. + // return true if y is positive + res = 1; + BID_RETURN (res); + } + // SIMPLE (CASE2) + // if all the bits (except sign bit) are the same, + // these numbers are equal. + if ((x & ~MASK_SIGN) == (y & ~MASK_SIGN)) { + res = 1; + BID_RETURN (res); + } + // INFINITY (CASE3) + if ((x & MASK_INF) == MASK_INF) { + // x is positive infinity, only return1 + // if y is positive infinity as well + res = ((y & MASK_INF) == MASK_INF); + BID_RETURN (res); + } else if ((y & MASK_INF) == MASK_INF) { + // x is finite, so: + // if y is +inf, x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_x = (x & MASK_BINARY_EXPONENT2) >> 51; + sig_x = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_x > 9999999999999999ull || sig_x == 0) { + x_is_zero = 1; + } + } else { + exp_x = (x & MASK_BINARY_EXPONENT1) >> 53; + sig_x = (x & MASK_BINARY_SIG1); + if (sig_x == 0) { + x_is_zero = 1; + } + } + + // if steering bits are 11 (condition will be 0), + // then exponent is G[0:w+1] => + if ((y & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + exp_y = (y & MASK_BINARY_EXPONENT2) >> 51; + sig_y = (y & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (sig_y > 9999999999999999ull || sig_y == 0) { + y_is_zero = 1; + } + } else { + exp_y = (y & MASK_BINARY_EXPONENT1) >> 53; + sig_y = (y & MASK_BINARY_SIG1); + if (sig_y == 0) { + y_is_zero = 1; + } + } + + // ZERO (CASE 5) + // if x and y represent the same entities, + // and both are negative , return true iff exp_x <= exp_y + if (x_is_zero && y_is_zero) { + // totalOrder(x,y) iff exp_x <= exp_y for positive numbers + res = (exp_x <= exp_y); + BID_RETURN (res); + } + // if x is zero and y isn't, clearly x has the smaller payload. + if (x_is_zero) { + res = 1; + BID_RETURN (res); + } + // if y is zero, and x isn't, clearly y has the smaller payload. + if (y_is_zero) { + res = 0; + BID_RETURN (res); + } + // REDUNDANT REPRESENTATIONS (CASE6) + // if both components are either bigger or smaller + if (sig_x > sig_y && exp_x >= exp_y) { + res = 0; + BID_RETURN (res); + } + if (sig_x < sig_y && exp_x <= exp_y) { + res = 1; + BID_RETURN (res); + } + // if exp_x is 15 greater than exp_y, it is definitely + // larger, so no need for compensation + if (exp_x - exp_y > 15) { + res = 0; // difference cannot be greater than 10^15 + BID_RETURN (res); + } + // if exp_x is 15 less than exp_y, it is definitely + // smaller, no need for compensation + if (exp_y - exp_x > 15) { + res = 1; + BID_RETURN (res); + } + // if |exp_x - exp_y| < 15, it comes down + // to the compensated significand + if (exp_x > exp_y) { + + // otherwise adjust the x significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_x, + mult_factor[exp_x - exp_y]); + + // if x and y represent the same entities, + // and both are negative, return true iff exp_x <= exp_y + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_y)) { + // case cannot occur, because all bits + // must be the same - would have been caught if (x==y) + res = (exp_x <= exp_y); + BID_RETURN (res); + } + // if positive, return 1 if adjusted x is smaller than y + res = ((sig_n_prime.w[1] == 0) && sig_n_prime.w[0] < sig_y); + BID_RETURN (res); + } + // adjust the y significand upwards + __mul_64x64_to_128MACH (sig_n_prime, sig_y, + mult_factor[exp_y - exp_x]); + + // if x and y represent the same entities, + // and both are negative, return true iff exp_x <= exp_y + if (sig_n_prime.w[1] == 0 && (sig_n_prime.w[0] == sig_x)) { + res = (exp_x <= exp_y); + BID_RETURN (res); + } + // values are not equal, for positive numbers + // return 1 if x is less than y. 0 otherwise + res = ((sig_n_prime.w[1] > 0) || (sig_x < sig_n_prime.w[0])); + BID_RETURN (res); + +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_radix (int *pres, UINT64 * px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_radix (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + int res; + if (x) // dummy test + res = 10; + else + res = 10; + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_quantize.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_quantize.c new file mode 100644 index 0000000000..92d0c15aec --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_quantize.c @@ -0,0 +1,236 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define MAX_FORMAT_DIGITS 16 +#define DECIMAL_EXPONENT_BIAS 398 +#define MAX_DECIMAL_EXPONENT 767 + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_quantize (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x, y; +#else + +UINT64 +bid64_quantize (UINT64 x, + UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CT; + UINT64 sign_x, sign_y, coefficient_x, coefficient_y, remainder_h, C64, + valid_x; + UINT64 tmp, carry, res; + int_float tempx; + int exponent_x, exponent_y, digits_x, extra_digits, amount, amount2; + int expon_diff, total_digits, bin_expon_cx; + unsigned rmode, status; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; + y = *py; +#endif + + valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x); + // unpack arguments, check for NaN or Infinity + if (!unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y)) { + // Inf. or NaN or 0 +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + + // x=Inf, y=Inf? + if (((coefficient_x << 1) == 0xf000000000000000ull) + && ((coefficient_y << 1) == 0xf000000000000000ull)) { + res = coefficient_x; + BID_RETURN (res); + } + // Inf or NaN? + if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) { +#ifdef SET_STATUS_FLAGS + if (((y & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + || (((y & 0x7c00000000000000ull) == 0x7800000000000000ull) && //Inf + ((x & 0x7c00000000000000ull) < 0x7800000000000000ull))) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + if ((y & NAN_MASK64) != NAN_MASK64) + coefficient_y = 0; + if ((x & NAN_MASK64) != NAN_MASK64) { + res = 0x7c00000000000000ull | (coefficient_y & QUIET_MASK64); + if (((y & NAN_MASK64) != NAN_MASK64) && ((x & NAN_MASK64) == 0x7800000000000000ull)) + res = x; + BID_RETURN (res); + } + } + } + // unpack arguments, check for NaN or Infinity + if (!valid_x) { + // x is Inf. or NaN or 0 + + // Inf or NaN? + if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) { +#ifdef SET_STATUS_FLAGS + if (((x & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + || ((x & 0x7c00000000000000ull) == 0x7800000000000000ull)) //Inf + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + if ((x & NAN_MASK64) != NAN_MASK64) + coefficient_x = 0; + res = 0x7c00000000000000ull | (coefficient_x & QUIET_MASK64); + BID_RETURN (res); + } + + res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, 0); + BID_RETURN (res); + } + // get number of decimal digits in coefficient_x + tempx.d = (float) coefficient_x; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; + digits_x = estimate_decimal_digits[bin_expon_cx]; + if (coefficient_x >= power10_table_128[digits_x].w[0]) + digits_x++; + + expon_diff = exponent_x - exponent_y; + total_digits = digits_x + expon_diff; + + // check range of scaled coefficient + if ((UINT32) (total_digits + 1) <= 17) { + if (expon_diff >= 0) { + coefficient_x *= power10_table_128[expon_diff].w[0]; + res = very_fast_get_BID64 (sign_x, exponent_y, coefficient_x); + BID_RETURN (res); + } + // must round off -expon_diff digits + extra_digits = -expon_diff; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + coefficient_x += round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_x, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C64 = CT.w[1] >> amount; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rnd_mode == 0) +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits + // is exactly .5 + // this is the same as fractional part of + // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & CT.w[1]; + + // test whether fractional part is 0 + if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status = INEXACT_EXCEPTION; + // get remainder + remainder_h = CT.w[1] << (64 - amount); + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if ((remainder_h == 0x8000000000000000ull) + && (CT.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + //if(!C64 && rmode==ROUNDING_DOWN) sign_s=sign_y; + break; + default: + // round up + __add_carry_out (tmp, carry, CT.w[0], + reciprocals10_64[extra_digits]); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + break; + } + __set_status_flags (pfpsf, status); +#endif + + res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64); + BID_RETURN (res); + } + + if (total_digits < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + C64 = 0; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + if (rmode == ROUNDING_UP) + C64 = 1; +#endif +#endif + res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, C64); + BID_RETURN (res); + } + // else more than 16 digits in coefficient +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = 0x7c00000000000000ull; + BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_rem.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_rem.c new file mode 100644 index 0000000000..f7d892f884 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_rem.c @@ -0,0 +1,228 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID64 remainder + ***************************************************************************** + * + * Algorithm description: + * + * if(exponent_x < exponent_y) + * scale coefficient_y so exponents are aligned + * perform coefficient divide (64-bit integer divide), unless + * coefficient_y is longer than 64 bits (clearly larger + * than coefficient_x) + * else // exponent_x > exponent_y + * use a loop to scale coefficient_x to 18_digits, divide by + * coefficient_y (64-bit integer divide), calculate remainder + * as new_coefficient_x and repeat until final remainder is obtained + * (when new_exponent_x < exponent_y) + * + ****************************************************************************/ + +#include "bid_internal.h" + +#define MAX_FORMAT_DIGITS 16 +#define DECIMAL_EXPONENT_BIAS 398 +#define MASK_BINARY_EXPONENT 0x7ff0000000000000ull +#define BINARY_EXPONENT_BIAS 0x3ff +#define UPPER_EXPON_LIMIT 51 + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_rem (UINT64 * pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x, y; +#else + +UINT64 +bid64_rem (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CY; + UINT64 sign_x, sign_y, coefficient_x, coefficient_y, res; + UINT64 Q, R, R2, T, valid_y, valid_x; + int_float tempx; + int exponent_x, exponent_y, bin_expon, e_scale; + int digits_x, diff_expon; + +#if DECIMAL_CALL_BY_REFERENCE + x = *px; + y = *py; +#endif + + valid_y = unpack_BID64 (&sign_y, &exponent_y, &coefficient_y, y); + valid_x = unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x); + + // unpack arguments, check for NaN or Infinity + if (!valid_x) { + // x is Inf. or NaN or 0 +#ifdef SET_STATUS_FLAGS + if ((y & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + + // test if x is NaN + if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if (((x & SNAN_MASK64) == SNAN_MASK64)) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = coefficient_x & QUIET_MASK64;; + BID_RETURN (res); + } + // x is Infinity? + if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) { + if (((y & NAN_MASK64) != NAN_MASK64)) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + // return NaN + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + } + // x is 0 + // return x if y != 0 + if (((y & 0x7800000000000000ull) < 0x7800000000000000ull) && + coefficient_y) { + if ((y & 0x6000000000000000ull) == 0x6000000000000000ull) + exponent_y = (y >> 51) & 0x3ff; + else + exponent_y = (y >> 53) & 0x3ff; + + if (exponent_y < exponent_x) + exponent_x = exponent_y; + + x = exponent_x; + x <<= 53; + + res = x | sign_x; + BID_RETURN (res); + } + + } + if (!valid_y) { + // y is Inf. or NaN + + // test if y is NaN + if ((y & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if (((y & SNAN_MASK64) == SNAN_MASK64)) + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = coefficient_y & QUIET_MASK64;; + BID_RETURN (res); + } + // y is Infinity? + if ((y & 0x7800000000000000ull) == 0x7800000000000000ull) { + res = very_fast_get_BID64 (sign_x, exponent_x, coefficient_x); + BID_RETURN (res); + } + // y is 0, return NaN + { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + } + + + diff_expon = exponent_x - exponent_y; + if (diff_expon <= 0) { + diff_expon = -diff_expon; + + if (diff_expon > 16) { + // |x|<|y| in this case + res = x; + BID_RETURN (res); + } + // set exponent of y to exponent_x, scale coefficient_y + T = power10_table_128[diff_expon].w[0]; + __mul_64x64_to_128 (CY, coefficient_y, T); + + if (CY.w[1] || CY.w[0] > (coefficient_x << 1)) { + res = x; + BID_RETURN (res); + } + + Q = coefficient_x / CY.w[0]; + R = coefficient_x - Q * CY.w[0]; + + R2 = R + R; + if (R2 > CY.w[0] || (R2 == CY.w[0] && (Q & 1))) { + R = CY.w[0] - R; + sign_x ^= 0x8000000000000000ull; + } + + res = very_fast_get_BID64 (sign_x, exponent_x, R); + BID_RETURN (res); + } + + + while (diff_expon > 0) { + // get number of digits in coeff_x + tempx.d = (float) coefficient_x; + bin_expon = ((tempx.i >> 23) & 0xff) - 0x7f; + digits_x = estimate_decimal_digits[bin_expon]; + // will not use this test, dividend will have 18 or 19 digits + //if(coefficient_x >= power10_table_128[digits_x].w[0]) + // digits_x++; + + e_scale = 18 - digits_x; + if (diff_expon >= e_scale) { + diff_expon -= e_scale; + } else { + e_scale = diff_expon; + diff_expon = 0; + } + + // scale dividend to 18 or 19 digits + coefficient_x *= power10_table_128[e_scale].w[0]; + + // quotient + Q = coefficient_x / coefficient_y; + // remainder + coefficient_x -= Q * coefficient_y; + + // check for remainder == 0 + if (!coefficient_x) { + res = very_fast_get_BID64_small_mantissa (sign_x, exponent_y, 0); + BID_RETURN (res); + } + } + + R2 = coefficient_x + coefficient_x; + if (R2 > coefficient_y || (R2 == coefficient_y && (Q & 1))) { + coefficient_x = coefficient_y - coefficient_x; + sign_x ^= 0x8000000000000000ull; + } + + res = very_fast_get_BID64 (sign_x, exponent_y, coefficient_x); + BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_round_integral.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_round_integral.c new file mode 100644 index 0000000000..4ce6f4ddc8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_round_integral.c @@ -0,0 +1,1221 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64_round_integral_exact + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_round_integral_exact (UINT64 * pres, + UINT64 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64_round_integral_exact (UINT64 x _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign; + int exp; // unbiased exponent + // Note: C1 represents the significand (UINT64) + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q, ind, shift; + UINT64 C1; + // UINT64 res is C* at first - represents up to 16 decimal digits <= 54 bits + UINT128 fstar = { {0x0ull, 0x0ull} }; + UINT128 P128; + + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + res = x_sign | 0x7800000000000000ull; + BID_RETURN (res); + } + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + exp = ((x & MASK_BINARY_EXPONENT2) >> 51) - 398; + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + C1 = 0; + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) + exp = ((x & MASK_BINARY_EXPONENT1) >> 53) - 398; + C1 = (x & MASK_BINARY_SIG1); + } + + // if x is 0 or non-canonical return 0 preserving the sign bit and + // the preferred exponent of MAX(Q(x), 0) + if (C1 == 0) { + if (exp < 0) + exp = 0; + res = x_sign | (((UINT64) exp + 398) << 53); + BID_RETURN (res); + } + // x is a finite non-zero number (not 0, non-canonical, or special) + + switch (rnd_mode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // return 0 if (exp <= -(p+1)) + if (exp <= -17) { + res = x_sign | 0x31c0000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_DOWN: + // return 0 if (exp <= -p) + if (exp <= -16) { + if (x_sign) { + res = 0xb1c0000000000001ull; + } else { + res = 0x31c0000000000000ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_UP: + // return 0 if (exp <= -p) + if (exp <= -16) { + if (x_sign) { + res = 0xb1c0000000000000ull; + } else { + res = 0x31c0000000000001ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_TO_ZERO: + // return 0 if (exp <= -p) + if (exp <= -16) { + res = x_sign | 0x31c0000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + } // end switch () + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + q = 16; + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + } + + if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res = x; + BID_RETURN (res); + } + + switch (rnd_mode) { + case ROUNDING_TO_NEAREST: + if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 64 bits + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (0 < f* < 10^(-x)) then the result is a midpoint + // since round_to_even, subtract 1 if current result is odd + if ((res & 0x0000000000000001ull) && (fstar.w[1] == 0) + && (fstar.w[0] < ten2mk64[ind - 1])) { + res--; + } + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + // fstar.w[0] - 0x8000000000000000ull is f* - 1/2 + if ((fstar.w[0] - 0x8000000000000000ull) > ten2mk64[ind - 1]) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 21 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + if (fstar.w[1] > onehalf128[ind - 1] + || fstar.w[0] > ten2mk64[ind - 1]) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp < 0 + // the result is +0 or -0 + res = x_sign | 0x31c0000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_TIES_AWAY: + if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 64 bits + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // if (0 < f* < 10^(-x)) then the result is a midpoint + // C* = floor(C*) - logical right shift; C* has p decimal digits, + // correct by Prop. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // midpoints are already rounded correctly + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + // fstar.w[0] - 0x8000000000000000ull is f* - 1/2 + if ((fstar.w[0] - 0x8000000000000000ull) > ten2mk64[ind - 1]) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 21 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + if (fstar.w[1] > onehalf128[ind - 1] + || fstar.w[0] > ten2mk64[ind - 1]) { + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp < 0 + // the result is +0 or -0 + res = x_sign | 0x31c0000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_DOWN: + if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // if (0 < f* < 10^(-x)) then the result is exact + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (f* > 10^(-x)) then the result is inexact + if ((fstar.w[1] != 0) || (fstar.w[0] >= ten2mk64[ind - 1])) { + if (x_sign) { + // if negative and not exact, increment magnitude + res++; + } + *pfpsf |= INEXACT_EXCEPTION; + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 + // the result is +0 or -1 + if (x_sign) { + res = 0xb1c0000000000001ull; + } else { + res = 0x31c0000000000000ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_UP: + if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // if (0 < f* < 10^(-x)) then the result is exact + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (f* > 10^(-x)) then the result is inexact + if ((fstar.w[1] != 0) || (fstar.w[0] >= ten2mk64[ind - 1])) { + if (!x_sign) { + // if positive and not exact, increment magnitude + res++; + } + *pfpsf |= INEXACT_EXCEPTION; + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 + // the result is -0 or +1 + if (x_sign) { + res = 0xb1c0000000000000ull; + } else { + res = 0x31c0000000000001ull; + } + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + case ROUNDING_TO_ZERO: + if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // if (0 < f* < 10^(-x)) then the result is exact + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (f* > 10^(-x)) then the result is inexact + if ((fstar.w[1] != 0) || (fstar.w[0] >= ten2mk64[ind - 1])) { + *pfpsf |= INEXACT_EXCEPTION; + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp < 0 + // the result is +0 or -0 + res = x_sign | 0x31c0000000000000ull; + *pfpsf |= INEXACT_EXCEPTION; + BID_RETURN (res); + } + break; + } // end switch () + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_round_integral_nearest_even + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_round_integral_nearest_even (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_round_integral_nearest_even (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 fstar; + UINT128 P128; + + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + res = x_sign | 0x7800000000000000ull; + BID_RETURN (res); + } + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + exp = ((x & MASK_BINARY_EXPONENT2) >> 51) - 398; + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + C1 = 0; + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) + exp = ((x & MASK_BINARY_EXPONENT1) >> 53) - 398; + C1 = (x & MASK_BINARY_SIG1); + } + + // if x is 0 or non-canonical + if (C1 == 0) { + if (exp < 0) + exp = 0; + res = x_sign | (((UINT64) exp + 398) << 53); + BID_RETURN (res); + } + // x is a finite non-zero number (not 0, non-canonical, or special) + + // return 0 if (exp <= -(p+1)) + if (exp <= -17) { + res = x_sign | 0x31c0000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + q = 16; + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + } + + if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res = x; + BID_RETURN (res); + } else if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 64 bits + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (0 < f* < 10^(-x)) then the result is a midpoint + // since round_to_even, subtract 1 if current result is odd + if ((res & 0x0000000000000001ull) && (fstar.w[1] == 0) + && (fstar.w[0] < ten2mk64[ind - 1])) { + res--; + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp < 0 + // the result is +0 or -0 + res = x_sign | 0x31c0000000000000ull; + BID_RETURN (res); + } +} + +/***************************************************************************** + * BID64_round_integral_negative + *****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_round_integral_negative (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_round_integral_negative (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q, ind, shift; + UINT64 C1; + // UINT64 res is C* at first - represents up to 34 decimal digits ~ 113 bits + UINT128 fstar; + UINT128 P128; + + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + res = x_sign | 0x7800000000000000ull; + BID_RETURN (res); + } + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + exp = ((x & MASK_BINARY_EXPONENT2) >> 51) - 398; + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + C1 = 0; + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) + exp = ((x & MASK_BINARY_EXPONENT1) >> 53) - 398; + C1 = (x & MASK_BINARY_SIG1); + } + + // if x is 0 or non-canonical + if (C1 == 0) { + if (exp < 0) + exp = 0; + res = x_sign | (((UINT64) exp + 398) << 53); + BID_RETURN (res); + } + // x is a finite non-zero number (not 0, non-canonical, or special) + + // return 0 if (exp <= -p) + if (exp <= -16) { + if (x_sign) { + res = 0xb1c0000000000001ull; + } else { + res = 0x31c0000000000000ull; + } + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + q = 16; + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + } + + if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res = x; + BID_RETURN (res); + } else if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // if (0 < f* < 10^(-x)) then the result is exact + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (f* > 10^(-x)) then the result is inexact + if (x_sign + && ((fstar.w[1] != 0) || (fstar.w[0] >= ten2mk64[ind - 1]))) { + // if negative and not exact, increment magnitude + res++; + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 + // the result is +0 or -1 + if (x_sign) { + res = 0xb1c0000000000001ull; + } else { + res = 0x31c0000000000000ull; + } + BID_RETURN (res); + } +} + +/***************************************************************************** + * BID64_round_integral_positive + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_round_integral_positive (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_round_integral_positive (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q, ind, shift; + UINT64 C1; + // UINT64 res is C* at first - represents up to 34 decimal digits ~ 113 bits + UINT128 fstar; + UINT128 P128; + + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + res = x_sign | 0x7800000000000000ull; + BID_RETURN (res); + } + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + exp = ((x & MASK_BINARY_EXPONENT2) >> 51) - 398; + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + C1 = 0; + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) + exp = ((x & MASK_BINARY_EXPONENT1) >> 53) - 398; + C1 = (x & MASK_BINARY_SIG1); + } + + // if x is 0 or non-canonical + if (C1 == 0) { + if (exp < 0) + exp = 0; + res = x_sign | (((UINT64) exp + 398) << 53); + BID_RETURN (res); + } + // x is a finite non-zero number (not 0, non-canonical, or special) + + // return 0 if (exp <= -p) + if (exp <= -16) { + if (x_sign) { + res = 0xb1c0000000000000ull; + } else { + res = 0x31c0000000000001ull; + } + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + q = 16; + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + } + + if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res = x; + BID_RETURN (res); + } else if ((q + exp) > 0) { // exp < 0 and 1 <= -exp < q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // if (0 < f* < 10^(-x)) then the result is exact + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + fstar.w[1] = 0; + fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + } + // if (f* > 10^(-x)) then the result is inexact + if (!x_sign + && ((fstar.w[1] != 0) || (fstar.w[0] >= ten2mk64[ind - 1]))) { + // if positive and not exact, increment magnitude + res++; + } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp <= 0 + // the result is -0 or +1 + if (x_sign) { + res = 0xb1c0000000000000ull; + } else { + res = 0x31c0000000000001ull; + } + BID_RETURN (res); + } +} + +/***************************************************************************** + * BID64_round_integral_zero + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_round_integral_zero (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_round_integral_zero (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q, ind, shift; + UINT64 C1; + // UINT64 res is C* at first - represents up to 34 decimal digits ~ 113 bits + UINT128 P128; + + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + res = x_sign | 0x7800000000000000ull; + BID_RETURN (res); + } + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + exp = ((x & MASK_BINARY_EXPONENT2) >> 51) - 398; + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + C1 = 0; + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) + exp = ((x & MASK_BINARY_EXPONENT1) >> 53) - 398; + C1 = (x & MASK_BINARY_SIG1); + } + + // if x is 0 or non-canonical + if (C1 == 0) { + if (exp < 0) + exp = 0; + res = x_sign | (((UINT64) exp + 398) << 53); + BID_RETURN (res); + } + // x is a finite non-zero number (not 0, non-canonical, or special) + + // return 0 if (exp <= -p) + if (exp <= -16) { + res = x_sign | 0x31c0000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + q = 16; + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + } + + if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res = x; + BID_RETURN (res); + } else if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 127 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // if (0 < f* < 10^(-x)) then the result is exact + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + // redundant fstar.w[1] = 0; + // redundant fstar.w[0] = P128.w[0]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + // redundant fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + // redundant fstar.w[0] = P128.w[0]; + } + // if (f* > 10^(-x)) then the result is inexact + // if ((fstar.w[1] != 0) || (fstar.w[0] >= ten2mk64[ind-1])){ + // // redundant + // } + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp < 0 + // the result is +0 or -0 + res = x_sign | 0x31c0000000000000ull; + BID_RETURN (res); + } +} + +/***************************************************************************** + * BID64_round_integral_nearest_away + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_round_integral_nearest_away (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_round_integral_nearest_away (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT64 res = 0xbaddbaddbaddbaddull; + UINT64 x_sign; + int exp; // unbiased exponent + // Note: C1.w[1], C1.w[0] represent x_signif_hi, x_signif_lo (all are UINT64) + BID_UI64DOUBLE tmp1; + int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 P128; + + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + + // check for NaNs and infinities + if ((x & MASK_NAN) == MASK_NAN) { // check for NaN + if ((x & 0x0003ffffffffffffull) > 999999999999999ull) + x = x & 0xfe00000000000000ull; // clear G6-G12 and the payload bits + else + x = x & 0xfe03ffffffffffffull; // clear G6-G12 + if ((x & MASK_SNAN) == MASK_SNAN) { // SNaN + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return quiet (SNaN) + res = x & 0xfdffffffffffffffull; + } else { // QNaN + res = x; + } + BID_RETURN (res); + } else if ((x & MASK_INF) == MASK_INF) { // check for Infinity + res = x_sign | 0x7800000000000000ull; + BID_RETURN (res); + } + // unpack x + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + // if the steering bits are 11 (condition will be 0), then + // the exponent is G[0:w+1] + exp = ((x & MASK_BINARY_EXPONENT2) >> 51) - 398; + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + C1 = 0; + } + } else { // if ((x & MASK_STEERING_BITS) != MASK_STEERING_BITS) + exp = ((x & MASK_BINARY_EXPONENT1) >> 53) - 398; + C1 = (x & MASK_BINARY_SIG1); + } + + // if x is 0 or non-canonical + if (C1 == 0) { + if (exp < 0) + exp = 0; + res = x_sign | (((UINT64) exp + 398) << 53); + BID_RETURN (res); + } + // x is a finite non-zero number (not 0, non-canonical, or special) + + // return 0 if (exp <= -(p+1)) + if (exp <= -17) { + res = x_sign | 0x31c0000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + q = 16; + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + } + + if (exp >= 0) { // -exp <= 0 + // the argument is an integer already + res = x; + BID_RETURN (res); + } else if ((q + exp) >= 0) { // exp < 0 and 1 <= -exp <= q + // need to shift right -exp digits from the coefficient; the exp will be 0 + ind = -exp; // 1 <= ind <= 16; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^x where the result C1 fits in 64 bits + // FOR ROUND_TO_NEAREST, WE ADD 1/2 ULP(y) then truncate + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 16 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128 (P128, C1, ten2mk64[ind - 1]); + + // if (0 < f* < 10^(-x)) then the result is a midpoint + // C* = floor(C*) - logical right shift; C* has p decimal digits, + // correct by Prop. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + if (ind - 1 <= 2) { // 0 <= ind - 1 <= 2 => shift = 0 + res = P128.w[1]; + } else if (ind - 1 <= 21) { // 3 <= ind - 1 <= 21 => 3 <= shift <= 63 + shift = shiftright128[ind - 1]; // 3 <= shift <= 63 + res = (P128.w[1] >> shift); + } + // midpoints are already rounded correctly + // set exponent to zero as it was negative before. + res = x_sign | 0x31c0000000000000ull | res; + BID_RETURN (res); + } else { // if exp < 0 and q + exp < 0 + // the result is +0 or -0 + res = x_sign | 0x31c0000000000000ull; + BID_RETURN (res); + } +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_scalb.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_scalb.c new file mode 100644 index 0000000000..346fe87539 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_scalb.c @@ -0,0 +1,105 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define MAX_FORMAT_DIGITS 16 +#define DECIMAL_EXPONENT_BIAS 398 +#define MAX_DECIMAL_EXPONENT 767 + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_scalb (UINT64 * pres, UINT64 * px, + int *pn _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x; + int n; +#else + +UINT64 +bid64_scalb (UINT64 x, + int n _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 sign_x, coefficient_x, res; + SINT64 exp64; + int exponent_x, rmode; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; + n = *pn; +#endif + + // unpack arguments, check for NaN or Infinity + if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) { + // x is Inf. or NaN or 0 +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // y is sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + if (coefficient_x) + res = coefficient_x & QUIET_MASK64; + else { + exp64 = (SINT64) exponent_x + (SINT64) n; + if(exp64<0) exp64=0; + if(exp64>MAX_DECIMAL_EXPONENT) exp64=MAX_DECIMAL_EXPONENT; + exponent_x = exp64; + res = very_fast_get_BID64 (sign_x, exponent_x, coefficient_x); // 0 + } + BID_RETURN (res); + } + + exp64 = (SINT64) exponent_x + (SINT64) n; + exponent_x = exp64; + + if ((UINT32) exponent_x <= MAX_DECIMAL_EXPONENT) { + res = very_fast_get_BID64 (sign_x, exponent_x, coefficient_x); + BID_RETURN (res); + } + // check for overflow + if (exp64 > MAX_DECIMAL_EXPONENT) { + // try to normalize coefficient + while ((coefficient_x < 1000000000000000ull) + && (exp64 > MAX_DECIMAL_EXPONENT)) { + // coefficient_x < 10^15, scale by 10 + coefficient_x = (coefficient_x << 1) + (coefficient_x << 3); + exponent_x--; + exp64--; + } + if (exp64 <= MAX_DECIMAL_EXPONENT) { + res = very_fast_get_BID64 (sign_x, exponent_x, coefficient_x); + BID_RETURN (res); + } else + exponent_x = 0x7fffffff; // overflow + } + // exponent < 0 + // the BID pack routine will round the coefficient + rmode = rnd_mode; + res = get_BID64 (sign_x, exponent_x, coefficient_x, rmode, pfpsf); + BID_RETURN (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_sqrt.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_sqrt.c new file mode 100644 index 0000000000..5508ad28b9 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_sqrt.c @@ -0,0 +1,552 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * BID64 square root + ***************************************************************************** + * + * Algorithm description: + * + * if(exponent_x is odd) + * scale coefficient_x by 10, adjust exponent + * - get lower estimate for number of digits in coefficient_x + * - scale coefficient x to between 31 and 33 decimal digits + * - in parallel, check for exact case and return if true + * - get high part of result coefficient using double precision sqrt + * - compute remainder and refine coefficient in one iteration (which + * modifies it by at most 1) + * - result exponent is easy to compute from the adjusted arg. exponent + * + ****************************************************************************/ + +#include "bid_internal.h" +#include "bid_sqrt_macros.h" +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +#include + +#define FE_ALL_FLAGS FE_INVALID|FE_DIVBYZERO|FE_OVERFLOW|FE_UNDERFLOW|FE_INEXACT +#endif + +extern double sqrt (double); + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_sqrt (UINT64 * pres, + UINT64 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x; +#else + +UINT64 +bid64_sqrt (UINT64 x _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CA, CT; + UINT64 sign_x, coefficient_x; + UINT64 Q, Q2, A10, C4, R, R2, QE, res; + SINT64 D; + int_double t_scale; + int_float tempx; + double da, dq, da_h, da_l, dqe; + int exponent_x, exponent_q, bin_expon_cx; + int digits_x; + int scale; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + fexcept_t binaryflags = 0; +#endif + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif + x = *px; +#endif + + // unpack arguments, check for NaN or Infinity + if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) { + // x is Inf. or NaN or 0 + if ((x & INFINITY_MASK64) == INFINITY_MASK64) { + res = coefficient_x; + if ((coefficient_x & SSNAN_MASK64) == SINFINITY_MASK64) // -Infinity + { + res = NAN_MASK64; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + } +#ifdef SET_STATUS_FLAGS + if ((x & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res & QUIET_MASK64); + } + // x is 0 + exponent_x = (exponent_x + DECIMAL_EXPONENT_BIAS) >> 1; + res = sign_x | (((UINT64) exponent_x) << 53); + BID_RETURN (res); + } + // x<0? + if (sign_x && coefficient_x) { + res = NAN_MASK64; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res); + } +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + //--- get number of bits in the coefficient of x --- + tempx.d = (float) coefficient_x; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; + digits_x = estimate_decimal_digits[bin_expon_cx]; + // add test for range + if (coefficient_x >= power10_index_binexp[bin_expon_cx]) + digits_x++; + + A10 = coefficient_x; + if (exponent_x & 1) { + A10 = (A10 << 2) + A10; + A10 += A10; + } + + dqe = sqrt ((double) A10); + QE = (UINT32) dqe; + if (QE * QE == A10) { + res = + very_fast_get_BID64 (0, (exponent_x + DECIMAL_EXPONENT_BIAS) >> 1, + QE); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + // if exponent is odd, scale coefficient by 10 + scale = 31 - digits_x; + exponent_q = exponent_x - scale; + scale += (exponent_q & 1); // exp. bias is even + + CT = power10_table_128[scale]; + __mul_64x128_short (CA, coefficient_x, CT); + + // 2^64 + t_scale.i = 0x43f0000000000000ull; + // convert CA to DP + da_h = CA.w[1]; + da_l = CA.w[0]; + da = da_h * t_scale.d + da_l; + + dq = sqrt (da); + + Q = (UINT64) dq; + + // get sign(sqrt(CA)-Q) + R = CA.w[0] - Q * Q; + R = ((SINT64) R) >> 63; + D = R + R + 1; + + exponent_q = (exponent_q + DECIMAL_EXPONENT_BIAS) >> 1; + +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + if (!((rnd_mode) & 3)) { +#endif +#endif + + // midpoint to check + Q2 = Q + Q + D; + C4 = CA.w[0] << 2; + + // get sign(-sqrt(CA)+Midpoint) + R2 = Q2 * Q2 - C4; + R2 = ((SINT64) R2) >> 63; + + // adjust Q if R!=R2 + Q += (D & (R ^ R2)); +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + } else { + C4 = CA.w[0]; + Q += D; + if ((SINT64) (Q * Q - C4) > 0) + Q--; + if (rnd_mode == ROUNDING_UP) + Q++; + } +#endif +#endif + + res = fast_get_BID64 (0, exponent_q, Q); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); +} + + +TYPE0_FUNCTION_ARG1 (UINT64, bid64q_sqrt, x) + + UINT256 M256, C4, C8; + UINT128 CX, CX2, A10, S2, T128, CS, CSM, CS2, C256, CS1, + mul_factor2_long = { {0x0ull, 0x0ull} }, QH, Tmp, TP128, Qh, Ql; +UINT64 sign_x, Carry, B10, res, mul_factor, mul_factor2 = 0x0ull, CS0; +SINT64 D; +int_float fx, f64; +int exponent_x, bin_expon_cx, done = 0; +int digits, scale, exponent_q = 0, exact = 1, amount, extra_digits; +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +fexcept_t binaryflags = 0; +#endif + + // unpack arguments, check for NaN or Infinity +if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + res = CX.w[1]; + // NaN ? + if ((x.w[1] & 0x7c00000000000000ull) == 0x7c00000000000000ull) { +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & 0x7e00000000000000ull) == 0x7e00000000000000ull) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CX.w[0]; + TP128 = reciprocals10_128[18]; + __mul_128x128_full (Qh, Ql, Tmp, TP128); + amount = recip_scale[18]; + __shr_128 (Tmp, Qh, amount); + res = (CX.w[1] & 0xfc00000000000000ull) | Tmp.w[0]; + BID_RETURN (res); + } + // x is Infinity? + if ((x.w[1] & 0x7800000000000000ull) == 0x7800000000000000ull) { + if (sign_x) { + // -Inf, return NaN + res = 0x7c00000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + } + BID_RETURN (res); + } + // x is 0 otherwise + + exponent_x = + ((exponent_x - DECIMAL_EXPONENT_BIAS_128) >> 1) + + DECIMAL_EXPONENT_BIAS; + if (exponent_x < 0) + exponent_x = 0; + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + //res= sign_x | (((UINT64)exponent_x)<<53); + res = get_BID64 (sign_x, exponent_x, 0, rnd_mode, pfpsf); + BID_RETURN (res); +} +if (sign_x) { + res = 0x7c00000000000000ull; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN (res); +} +#ifdef UNCHANGED_BINARY_STATUS_FLAGS +(void) fegetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + + // 2^64 +f64.i = 0x5f800000; + + // fx ~ CX +fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; +bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; +digits = estimate_decimal_digits[bin_expon_cx]; + +A10 = CX; +if (exponent_x & 1) { + A10.w[1] = (CX.w[1] << 3) | (CX.w[0] >> 61); + A10.w[0] = CX.w[0] << 3; + CX2.w[1] = (CX.w[1] << 1) | (CX.w[0] >> 63); + CX2.w[0] = CX.w[0] << 1; + __add_128_128 (A10, A10, CX2); +} + +C256.w[1] = A10.w[1]; +C256.w[0] = A10.w[0]; +CS.w[0] = short_sqrt128 (A10); +CS.w[1] = 0; +mul_factor = 0; + // check for exact result +if (CS.w[0] < 10000000000000000ull) { + if (CS.w[0] * CS.w[0] == A10.w[0]) { + __sqr64_fast (S2, CS.w[0]); + if (S2.w[1] == A10.w[1]) // && S2.w[0]==A10.w[0]) + { + res = + get_BID64 (0, + ((exponent_x - DECIMAL_EXPONENT_BIAS_128) >> 1) + + DECIMAL_EXPONENT_BIAS, CS.w[0], rnd_mode, pfpsf); +#ifdef UNCHANGED_BINARY_STATUS_FLAGS + (void) fesetexceptflag (&binaryflags, FE_ALL_FLAGS); +#endif + BID_RETURN (res); + } + } + if (CS.w[0] >= 1000000000000000ull) { + done = 1; + exponent_q = exponent_x; + C256.w[1] = A10.w[1]; + C256.w[0] = A10.w[0]; + } +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + exact = 0; +} else { + B10 = 0x3333333333333334ull; + __mul_64x64_to_128_full (CS2, CS.w[0], B10); + CS0 = CS2.w[1] >> 1; + if (CS.w[0] != ((CS0 << 3) + (CS0 << 1))) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + exact = 0; + } + done = 1; + CS.w[0] = CS0; + exponent_q = exponent_x + 2; + mul_factor = 10; + mul_factor2 = 100; + if (CS.w[0] >= 10000000000000000ull) { + __mul_64x64_to_128_full (CS2, CS.w[0], B10); + CS0 = CS2.w[1] >> 1; + if (CS.w[0] != ((CS0 << 3) + (CS0 << 1))) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + exact = 0; + } + exponent_q += 2; + CS.w[0] = CS0; + mul_factor = 100; + mul_factor2 = 10000; + } + if (exact) { + CS0 = CS.w[0] * mul_factor; + __sqr64_fast (CS1, CS0) + if ((CS1.w[0] != A10.w[0]) || (CS1.w[1] != A10.w[1])) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, INEXACT_EXCEPTION); +#endif + exact = 0; + } + } +} + +if (!done) { + // get number of digits in CX + D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; + if (D > 0 + || (!D && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) + digits++; + + // if exponent is odd, scale coefficient by 10 + scale = 31 - digits; + exponent_q = exponent_x - scale; + scale += (exponent_q & 1); // exp. bias is even + + T128 = power10_table_128[scale]; + __mul_128x128_low (C256, CX, T128); + + + CS.w[0] = short_sqrt128 (C256); +} + //printf("CS=%016I64x\n",CS.w[0]); + +exponent_q = + ((exponent_q - DECIMAL_EXPONENT_BIAS_128) >> 1) + + DECIMAL_EXPONENT_BIAS; +if ((exponent_q < 0) && (exponent_q + MAX_FORMAT_DIGITS >= 0)) { + extra_digits = -exponent_q; + exponent_q = 0; + + // get coeff*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (QH, CS.w[0], reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + + CS0 = QH.w[1] >> amount; + +#ifdef SET_STATUS_FLAGS + if (exact) { + if (CS.w[0] != CS0 * power10_table_128[extra_digits].w[0]) + exact = 0; + } + if (!exact) + __set_status_flags (pfpsf, UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif + + CS.w[0] = CS0; + if (!mul_factor) + mul_factor = 1; + mul_factor *= power10_table_128[extra_digits].w[0]; + __mul_64x64_to_128 (mul_factor2_long, mul_factor, mul_factor); + if (mul_factor2_long.w[1]) + mul_factor2 = 0; + else + mul_factor2 = mul_factor2_long.w[1]; +} + // 4*C256 +C4.w[1] = (C256.w[1] << 2) | (C256.w[0] >> 62); +C4.w[0] = C256.w[0] << 2; + +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +if (!((rnd_mode) & 3)) { +#endif +#endif + // compare to midpoints + CSM.w[0] = (CS.w[0] + CS.w[0]) | 1; + //printf("C256=%016I64x %016I64x, CSM=%016I64x %016I64x %016I64x\n",C4.w[1],C4.w[0],CSM.w[1],CSM.w[0], CS.w[0]); + if (mul_factor) + CSM.w[0] *= mul_factor; + // CSM^2 + __mul_64x64_to_128 (M256, CSM.w[0], CSM.w[0]); + //__mul_128x128_to_256(M256, CSM, CSM); + + if (C4.w[1] > M256.w[1] || + (C4.w[1] == M256.w[1] && C4.w[0] > M256.w[0])) { + // round up + CS.w[0]++; + } else { + C8.w[0] = CS.w[0] << 3; + C8.w[1] = 0; + if (mul_factor) { + if (mul_factor2) { + __mul_64x64_to_128 (C8, C8.w[0], mul_factor2); + } else { + __mul_64x128_low (C8, C8.w[0], mul_factor2_long); + } + } + // M256 - 8*CSM + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + M256.w[1] = M256.w[1] - C8.w[1] - Carry; + + // if CSM' > C256, round up + if (M256.w[1] > C4.w[1] || + (M256.w[1] == C4.w[1] && M256.w[0] > C4.w[0])) { + // round down + if (CS.w[0]) + CS.w[0]--; + } + } +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +} else { + CS.w[0]++; + CSM.w[0] = CS.w[0]; + C8.w[0] = CSM.w[0] << 1; + if (mul_factor) + CSM.w[0] *= mul_factor; + __mul_64x64_to_128 (M256, CSM.w[0], CSM.w[0]); + C8.w[1] = 0; + if (mul_factor) { + if (mul_factor2) { + __mul_64x64_to_128 (C8, C8.w[0], mul_factor2); + } else { + __mul_64x128_low (C8, C8.w[0], mul_factor2_long); + } + } + //printf("C256=%016I64x %016I64x, CSM=%016I64x %016I64x %016I64x\n",C256.w[1],C256.w[0],M256.w[1],M256.w[0], CS.w[0]); + + if (M256.w[1] > C256.w[1] || + (M256.w[1] == C256.w[1] && M256.w[0] > C256.w[0])) { + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + M256.w[1] = M256.w[1] - Carry - C8.w[1]; + M256.w[0]++; + if (!M256.w[0]) { + M256.w[1]++; + + } + + if ((M256.w[1] > C256.w[1] || + (M256.w[1] == C256.w[1] && M256.w[0] > C256.w[0])) + && (CS.w[0] > 1)) { + + CS.w[0]--; + + if (CS.w[0] > 1) { + __sub_borrow_out (M256.w[0], Carry, M256.w[0], C8.w[0]); + M256.w[1] = M256.w[1] - Carry - C8.w[1]; + M256.w[0]++; + if (!M256.w[0]) { + M256.w[1]++; + } + + if (M256.w[1] > C256.w[1] || + (M256.w[1] == C256.w[1] && M256.w[0] > C256.w[0])) + CS.w[0]--; + } + } + } + + else { + /*__add_carry_out(M256.w[0], Carry, M256.w[0], C8.w[0]); + M256.w[1] = M256.w[1] + Carry + C8.w[1]; + M256.w[0]++; + if(!M256.w[0]) + { + M256.w[1]++; + } + CS.w[0]++; + if(M256.w[1]. */ + +#include +#include "bid_internal.h" +#include "bid128_2_str.h" +#include "bid128_2_str_macros.h" + +#define MAX_FORMAT_DIGITS 16 +#define DECIMAL_EXPONENT_BIAS 398 +#define MAX_DECIMAL_EXPONENT 767 + +#if DECIMAL_CALL_BY_REFERENCE + +void +bid64_to_string (char *ps, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x; +#else + +void +bid64_to_string (char *ps, UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif +// the destination string (pointed to by ps) must be pre-allocated + UINT64 sign_x, coefficient_x, D, ER10; + int istart, exponent_x, j, digits_x, bin_expon_cx; + int_float tempx; + UINT32 MiDi[12], *ptr; + UINT64 HI_18Dig, LO_18Dig, Tmp; + char *c_ptr_start, *c_ptr; + int midi_ind, k_lcv, len; + unsigned int save_fpsf; + +#if DECIMAL_CALL_BY_REFERENCE + x = *px; +#endif + + save_fpsf = *pfpsf; // place holder only + // unpack arguments, check for NaN or Infinity + if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) { + // x is Inf. or NaN or 0 + + // Inf or NaN? + if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) { + if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) { + ps[0] = (sign_x) ? '-' : '+'; + ps[1] = ((x & MASK_SNAN) == MASK_SNAN)? 'S':'Q'; + ps[2] = 'N'; + ps[3] = 'a'; + ps[4] = 'N'; + ps[5] = 0; + return; + } + // x is Inf + ps[0] = (sign_x) ? '-' : '+'; + ps[1] = 'I'; + ps[2] = 'n'; + ps[3] = 'f'; + ps[4] = 0; + return; + } + // 0 + istart = 0; + if (sign_x) { + ps[istart++] = '-'; + } + + ps[istart++] = '0'; + ps[istart++] = 'E'; + + exponent_x -= 398; + if (exponent_x < 0) { + ps[istart++] = '-'; + exponent_x = -exponent_x; + } else + ps[istart++] = '+'; + + if (exponent_x) { + // get decimal digits in coefficient_x + tempx.d = (float) exponent_x; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; + digits_x = estimate_decimal_digits[bin_expon_cx]; + if ((UINT64)exponent_x >= power10_table_128[digits_x].w[0]) + digits_x++; + + j = istart + digits_x - 1; + istart = j + 1; + + // 2^32/10 + ER10 = 0x1999999a; + + while (exponent_x > 9) { + D = (UINT64) exponent_x *ER10; + D >>= 32; + exponent_x = exponent_x - (D << 1) - (D << 3); + + ps[j--] = '0' + (char) exponent_x; + exponent_x = D; + } + ps[j] = '0' + (char) exponent_x; + } else { + ps[istart++] = '0'; + } + + ps[istart] = 0; + + return; + } + // convert expon, coeff to ASCII + exponent_x -= DECIMAL_EXPONENT_BIAS; + + ER10 = 0x1999999a; + + istart = 0; + if (sign_x) { + ps[0] = '-'; + istart = 1; + } + // if zero or non-canonical, set coefficient to '0' + if ((coefficient_x > 9999999999999999ull) || // non-canonical + ((coefficient_x == 0)) // significand is zero + ) { + ps[istart++] = '0'; + } else { + /* **************************************************** + This takes a bid coefficient in C1.w[1],C1.w[0] + and put the converted character sequence at location + starting at &(str[k]). The function returns the number + of MiDi returned. Note that the character sequence + does not have leading zeros EXCEPT when the input is of + zero value. It will then output 1 character '0' + The algorithm essentailly tries first to get a sequence of + Millenial Digits "MiDi" and then uses table lookup to get the + character strings of these MiDis. + **************************************************** */ + /* Algorithm first decompose possibly 34 digits in hi and lo + 18 digits. (The high can have at most 16 digits). It then + uses macro that handle 18 digit portions. + The first step is to get hi and lo such that + 2^(64) C1.w[1] + C1.w[0] = hi * 10^18 + lo, 0 <= lo < 10^18. + We use a table lookup method to obtain the hi and lo 18 digits. + [C1.w[1],C1.w[0]] = c_8 2^(107) + c_7 2^(101) + ... + c_0 2^(59) + d + where 0 <= d < 2^59 and each c_j has 6 bits. Because d fits in + 18 digits, we set hi = 0, and lo = d to begin with. + We then retrieve from a table, for j = 0, 1, ..., 8 + that gives us A and B where c_j 2^(59+6j) = A * 10^18 + B. + hi += A ; lo += B; After each accumulation into lo, we normalize + immediately. So at the end, we have the decomposition as we need. */ + + Tmp = coefficient_x >> 59; + LO_18Dig = (coefficient_x << 5) >> 5; + HI_18Dig = 0; + k_lcv = 0; + + while (Tmp) { + midi_ind = (int) (Tmp & 0x000000000000003FLL); + midi_ind <<= 1; + Tmp >>= 6; + HI_18Dig += mod10_18_tbl[k_lcv][midi_ind++]; + LO_18Dig += mod10_18_tbl[k_lcv++][midi_ind]; + __L0_Normalize_10to18 (HI_18Dig, LO_18Dig); + } + + ptr = MiDi; + __L1_Split_MiDi_6_Lead (LO_18Dig, ptr); + len = ptr - MiDi; + c_ptr_start = &(ps[istart]); + c_ptr = c_ptr_start; + + /* now convert the MiDi into character strings */ + __L0_MiDi2Str_Lead (MiDi[0], c_ptr); + for (k_lcv = 1; k_lcv < len; k_lcv++) { + __L0_MiDi2Str (MiDi[k_lcv], c_ptr); + } + istart = istart + (c_ptr - c_ptr_start); + } + + ps[istart++] = 'E'; + + if (exponent_x < 0) { + ps[istart++] = '-'; + exponent_x = -exponent_x; + } else + ps[istart++] = '+'; + + if (exponent_x) { + // get decimal digits in coefficient_x + tempx.d = (float) exponent_x; + bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f; + digits_x = estimate_decimal_digits[bin_expon_cx]; + if ((UINT64)exponent_x >= power10_table_128[digits_x].w[0]) + digits_x++; + + j = istart + digits_x - 1; + istart = j + 1; + + // 2^32/10 + ER10 = 0x1999999a; + + while (exponent_x > 9) { + D = (UINT64) exponent_x *ER10; + D >>= 32; + exponent_x = exponent_x - (D << 1) - (D << 3); + + ps[j--] = '0' + (char) exponent_x; + exponent_x = D; + } + ps[j] = '0' + (char) exponent_x; + } else { + ps[istart++] = '0'; + } + + ps[istart] = 0; + + return; + +} + + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_from_string (UINT64 * pres, char *ps + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#else +UINT64 +bid64_from_string (char *ps + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 sign_x, coefficient_x = 0, rounded = 0, res; + int expon_x = 0, sgn_expon, ndigits, add_expon = 0, midpoint = + 0, rounded_up = 0; + int dec_expon_scale = 0, right_radix_leading_zeros = 0, rdx_pt_enc = + 0; + unsigned fpsc; + char c; + unsigned int save_fpsf; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + save_fpsf = *pfpsf; // place holder only + // eliminate leading whitespace + while (((*ps == ' ') || (*ps == '\t')) && (*ps)) + ps++; + + // get first non-whitespace character + c = *ps; + + // detect special cases (INF or NaN) + if (!c || (c != '.' && c != '-' && c != '+' && (c < '0' || c > '9'))) { + // Infinity? + if ((tolower_macro (ps[0]) == 'i' && tolower_macro (ps[1]) == 'n' && + tolower_macro (ps[2]) == 'f') && (!ps[3] || + (tolower_macro (ps[3]) == 'i' && + tolower_macro (ps[4]) == 'n' && tolower_macro (ps[5]) == 'i' && + tolower_macro (ps[6]) == 't' && tolower_macro (ps[7]) == 'y' && + !ps[8]))) { + res = 0x7800000000000000ull; + BID_RETURN (res); + } + // return sNaN + if (tolower_macro (ps[0]) == 's' && tolower_macro (ps[1]) == 'n' && + tolower_macro (ps[2]) == 'a' && tolower_macro (ps[3]) == 'n') { + // case insensitive check for snan + res = 0x7e00000000000000ull; + BID_RETURN (res); + } else { + // return qNaN + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + } + // detect +INF or -INF + if ((tolower_macro (ps[1]) == 'i' && tolower_macro (ps[2]) == 'n' && + tolower_macro (ps[3]) == 'f') && (!ps[4] || + (tolower_macro (ps[4]) == 'i' && tolower_macro (ps[5]) == 'n' && + tolower_macro (ps[6]) == 'i' && tolower_macro (ps[7]) == 't' && + tolower_macro (ps[8]) == 'y' && !ps[9]))) { + if (c == '+') + res = 0x7800000000000000ull; + else if (c == '-') + res = 0xf800000000000000ull; + else + res = 0x7c00000000000000ull; + BID_RETURN (res); + } + // if +sNaN, +SNaN, -sNaN, or -SNaN + if (tolower_macro (ps[1]) == 's' && tolower_macro (ps[2]) == 'n' + && tolower_macro (ps[3]) == 'a' && tolower_macro (ps[4]) == 'n') { + if (c == '-') + res = 0xfe00000000000000ull; + else + res = 0x7e00000000000000ull; + BID_RETURN (res); + } + // determine sign + if (c == '-') + sign_x = 0x8000000000000000ull; + else + sign_x = 0; + + // get next character if leading +/- sign + if (c == '-' || c == '+') { + ps++; + c = *ps; + } + // if c isn't a decimal point or a decimal digit, return NaN + if (c != '.' && (c < '0' || c > '9')) { + // return NaN + res = 0x7c00000000000000ull | sign_x; + BID_RETURN (res); + } + + rdx_pt_enc = 0; + + // detect zero (and eliminate/ignore leading zeros) + if (*(ps) == '0' || *(ps) == '.') { + + if (*(ps) == '.') { + rdx_pt_enc = 1; + ps++; + } + // if all numbers are zeros (with possibly 1 radix point, the number is zero + // should catch cases such as: 000.0 + while (*ps == '0') { + ps++; + // for numbers such as 0.0000000000000000000000000000000000001001, + // we want to count the leading zeros + if (rdx_pt_enc) { + right_radix_leading_zeros++; + } + // if this character is a radix point, make sure we haven't already + // encountered one + if (*(ps) == '.') { + if (rdx_pt_enc == 0) { + rdx_pt_enc = 1; + // if this is the first radix point, and the next character is NULL, + // we have a zero + if (!*(ps + 1)) { + res = + ((UINT64) (398 - right_radix_leading_zeros) << 53) | + sign_x; + BID_RETURN (res); + } + ps = ps + 1; + } else { + // if 2 radix points, return NaN + res = 0x7c00000000000000ull | sign_x; + BID_RETURN (res); + } + } else if (!*(ps)) { + //pres->w[1] = 0x3040000000000000ull | sign_x; + res = + ((UINT64) (398 - right_radix_leading_zeros) << 53) | sign_x; + BID_RETURN (res); + } + } + } + + c = *ps; + + ndigits = 0; + while ((c >= '0' && c <= '9') || c == '.') { + if (c == '.') { + if (rdx_pt_enc) { + // return NaN + res = 0x7c00000000000000ull | sign_x; + BID_RETURN (res); + } + rdx_pt_enc = 1; + ps++; + c = *ps; + continue; + } + dec_expon_scale += rdx_pt_enc; + + ndigits++; + if (ndigits <= 16) { + coefficient_x = (coefficient_x << 1) + (coefficient_x << 3); + coefficient_x += (UINT64) (c - '0'); + } else if (ndigits == 17) { + // coefficient rounding + switch(rnd_mode){ + case ROUNDING_TO_NEAREST: + midpoint = (c == '5' && !(coefficient_x & 1)) ? 1 : 0; + // if coefficient is even and c is 5, prepare to round up if + // subsequent digit is nonzero + // if str[MAXDIG+1] > 5, we MUST round up + // if str[MAXDIG+1] == 5 and coefficient is ODD, ROUND UP! + if (c > '5' || (c == '5' && (coefficient_x & 1))) { + coefficient_x++; + rounded_up = 1; + break; + + case ROUNDING_DOWN: + if(sign_x) { coefficient_x++; rounded_up=1; } + break; + case ROUNDING_UP: + if(!sign_x) { coefficient_x++; rounded_up=1; } + break; + case ROUNDING_TIES_AWAY: + if(c>='5') { coefficient_x++; rounded_up=1; } + break; + } + if (coefficient_x == 10000000000000000ull) { + coefficient_x = 1000000000000000ull; + add_expon = 1; + } + } + if (c > '0') + rounded = 1; + add_expon += 1; + } else { // ndigits > 17 + add_expon++; + if (midpoint && c > '0') { + coefficient_x++; + midpoint = 0; + rounded_up = 1; + } + if (c > '0') + rounded = 1; + } + ps++; + c = *ps; + } + + add_expon -= (dec_expon_scale + right_radix_leading_zeros); + + if (!c) { + res = + fast_get_BID64_check_OF (sign_x, + add_expon + DECIMAL_EXPONENT_BIAS, + coefficient_x, 0, &fpsc); + BID_RETURN (res); + } + + if (c != 'E' && c != 'e') { + // return NaN + res = 0x7c00000000000000ull | sign_x; + BID_RETURN (res); + } + ps++; + c = *ps; + sgn_expon = (c == '-') ? 1 : 0; + if (c == '-' || c == '+') { + ps++; + c = *ps; + } + if (!c || c < '0' || c > '9') { + // return NaN + res = 0x7c00000000000000ull | sign_x; + BID_RETURN (res); + } + + while (c >= '0' && c <= '9') { + expon_x = (expon_x << 1) + (expon_x << 3); + expon_x += (int) (c - '0'); + + ps++; + c = *ps; + } + + if (c) { + // return NaN + res = 0x7c00000000000000ull | sign_x; + BID_RETURN (res); + } + + if (sgn_expon) + expon_x = -expon_x; + + expon_x += add_expon + DECIMAL_EXPONENT_BIAS; + + if (expon_x < 0) { + if (rounded_up) + coefficient_x--; + rnd_mode = 0; + res = + get_BID64_UF (sign_x, expon_x, coefficient_x, rounded, rnd_mode, + &fpsc); + BID_RETURN (res); + } + res = get_BID64 (sign_x, expon_x, coefficient_x, rnd_mode, &fpsc); + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_bid128.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_bid128.c new file mode 100644 index 0000000000..a5bcd46fb7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_bid128.c @@ -0,0 +1,262 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define BID_128RES +#include "bid_internal.h" + +/* + * Takes a BID64 as input and converts it to a BID128 and returns it. + */ +TYPE0_FUNCTION_ARGTYPE1_NORND (UINT128, bid64_to_bid128, UINT64, x) + + UINT128 new_coeff, res; + UINT64 sign_x; + int exponent_x; + UINT64 coefficient_x; + +if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) { +if (((x) << 1) >= 0xf000000000000000ull) { +#ifdef SET_STATUS_FLAGS + if (((x) & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + res.w[0] = (coefficient_x & 0x0003ffffffffffffull); + __mul_64x64_to_128 (res, res.w[0], power10_table_128[18].w[0]); + res.w[1] |= ((coefficient_x) & 0xfc00000000000000ull); + BID_RETURN (res); +} +} + +new_coeff.w[0] = coefficient_x; +new_coeff.w[1] = 0; +get_BID128_very_fast (&res, sign_x, + exponent_x + DECIMAL_EXPONENT_BIAS_128 - + DECIMAL_EXPONENT_BIAS, new_coeff); +BID_RETURN (res); +} // convert_bid64_to_bid128 + + + +/* + * Takes a BID128 as input and converts it to a BID64 and returns it. + */ +#if DECIMAL_CALL_BY_REFERENCE + +void +bid128_to_bid64 (UINT64 * pres, + UINT128 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px; +#else + +UINT64 +bid128_to_bid64 (UINT128 x _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 CX, T128, TP128, Qh, Ql, Qh1, Stemp, Tmp, Tmp1, CX1; + UINT64 sign_x, carry, cy, res; + SINT64 D; + int_float f64, fx; + int exponent_x, extra_digits, amount, bin_expon_cx; + unsigned rmode, status, uf_check = 0; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + BID_SWAP128 (x); + // unpack arguments, check for NaN or Infinity or 0 + if (!unpack_BID128_value (&sign_x, &exponent_x, &CX, x)) { + if ((x.w[1] << 1) >= 0xf000000000000000ull) { + Tmp.w[1] = (CX.w[1] & 0x00003fffffffffffull); + Tmp.w[0] = CX.w[0]; + TP128 = reciprocals10_128[18]; + __mul_128x128_full (Qh, Ql, Tmp, TP128); + amount = recip_scale[18]; + __shr_128 (Tmp, Qh, amount); + res = (CX.w[1] & 0xfc00000000000000ull) | Tmp.w[0]; +#ifdef SET_STATUS_FLAGS + if ((x.w[1] & SNAN_MASK64) == SNAN_MASK64) // sNaN + __set_status_flags (pfpsf, INVALID_EXCEPTION); +#endif + BID_RETURN_VAL (res); + } + exponent_x = + exponent_x - DECIMAL_EXPONENT_BIAS_128 + DECIMAL_EXPONENT_BIAS; + if (exponent_x < 0) { + res = sign_x; + BID_RETURN_VAL (res); + } + if (exponent_x > DECIMAL_MAX_EXPON_64) + exponent_x = DECIMAL_MAX_EXPON_64; + res = sign_x | (((UINT64) exponent_x) << 53); + BID_RETURN_VAL (res); + } + + if (CX.w[1] || (CX.w[0] >= 10000000000000000ull)) { + // find number of digits in coefficient + // 2^64 + f64.i = 0x5f800000; + // fx ~ CX + fx.d = (float) CX.w[1] * f64.d + (float) CX.w[0]; + bin_expon_cx = ((fx.i >> 23) & 0xff) - 0x7f; + extra_digits = estimate_decimal_digits[bin_expon_cx] - 16; + // scale = 38-estimate_decimal_digits[bin_expon_cx]; + D = CX.w[1] - power10_index_binexp_128[bin_expon_cx].w[1]; + if (D > 0 + || (!D + && CX.w[0] >= power10_index_binexp_128[bin_expon_cx].w[0])) + extra_digits++; + + exponent_x += extra_digits; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rnd_mode; + if (sign_x && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + if (exponent_x < DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS) { + uf_check = 1; + if (-extra_digits + exponent_x - DECIMAL_EXPONENT_BIAS_128 + + DECIMAL_EXPONENT_BIAS + 35 >= 0) { + if (exponent_x == + DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS - 1) { + T128 = round_const_table_128[rmode][extra_digits]; + __add_carry_out (CX1.w[0], carry, T128.w[0], CX.w[0]); + CX1.w[1] = CX.w[1] + T128.w[1] + carry; + if (__unsigned_compare_ge_128 + (CX1, power10_table_128[extra_digits + 16])) + uf_check = 0; + } + extra_digits = + extra_digits + DECIMAL_EXPONENT_BIAS_128 - + DECIMAL_EXPONENT_BIAS - exponent_x; + exponent_x = DECIMAL_EXPONENT_BIAS_128 - DECIMAL_EXPONENT_BIAS; + //uf_check = 2; + } else + rmode = ROUNDING_TO_ZERO; + } + + T128 = round_const_table_128[rmode][extra_digits]; + __add_carry_out (CX.w[0], carry, T128.w[0], CX.w[0]); + CX.w[1] = CX.w[1] + T128.w[1] + carry; + + TP128 = reciprocals10_128[extra_digits]; + __mul_128x128_full (Qh, Ql, CX, TP128); + amount = recip_scale[extra_digits]; + + if (amount >= 64) { + CX.w[0] = Qh.w[1] >> (amount - 64); + CX.w[1] = 0; + } else { + __shr_128 (CX, Qh, amount); + } + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (!(rmode)) +#endif + if (CX.w[0] & 1) { + // check whether fractional part of initial_P/10^ed1 is exactly .5 + + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + if (!Qh1.w[1] && !Qh1.w[0] + && (Ql.w[1] < reciprocals10_128[extra_digits].w[1] + || (Ql.w[1] == reciprocals10_128[extra_digits].w[1] + && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) { + CX.w[0]--; + } + } +#endif + + { + status = INEXACT_EXCEPTION; + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (Qh1.w[1] == 0x8000000000000000ull && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[extra_digits].w[1] + || (Ql.w[1] == reciprocals10_128[extra_digits].w[1] + && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if ((!Qh1.w[1]) && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[extra_digits].w[1] + || (Ql.w[1] == reciprocals10_128[extra_digits].w[1] + && Ql.w[0] < reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], cy, Ql.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Ql.w[1], + reciprocals10_128[extra_digits].w[1], cy); + __shr_128_long (Qh, Qh1, (128 - amount)); + Tmp.w[0] = 1; + Tmp.w[1] = 0; + __shl_128_long (Tmp1, Tmp, amount); + Qh.w[0] += carry; + if (Qh.w[0] < carry) + Qh.w[1]++; + if (__unsigned_compare_ge_128 (Qh, Tmp1)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) { + if (uf_check) + status |= UNDERFLOW_EXCEPTION; +#ifdef SET_STATUS_FLAGS + __set_status_flags (pfpsf, status); +#endif + } + + + } + + } + + res = + get_BID64 (sign_x, + exponent_x - DECIMAL_EXPONENT_BIAS_128 + + DECIMAL_EXPONENT_BIAS, CX.w[0], rnd_mode, pfpsf); + BID_RETURN_VAL (res); + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int16.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int16.c new file mode 100644 index 0000000000..f476cbe468 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int16.c @@ -0,0 +1,67 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffff8000 +#define INVALID_RESULT 0x8000 + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_rnint, UINT64, x, + bid64_to_int32_rnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_xrnint, UINT64, x, + bid64_to_int32_xrnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_rninta, UINT64, x, + bid64_to_int32_rninta, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_xrninta, UINT64, x, + bid64_to_int32_xrninta, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_int, UINT64, x, + bid64_to_int32_int, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_xint, UINT64, x, + bid64_to_int32_xint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_floor, UINT64, x, + bid64_to_int32_floor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_ceil, UINT64, x, + bid64_to_int32_ceil, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_xfloor, UINT64, x, + bid64_to_int32_xfloor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (short, bid64_to_int16_xceil, UINT64, x, + bid64_to_int32_xceil, int, SIZE_MASK, + INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int32.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int32.c new file mode 100644 index 0000000000..980b937c7f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int32.c @@ -0,0 +1,2587 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64_to_int32_rnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_rnint (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_rnint (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000005, 1<=q<=16 + // <=> C * 10^(11-q) > 0x500000005, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x500000005 <=> + // C > 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1/2 up) + // Note: 0x500000005*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000005ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x4fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1/2 up) + // Note: 0x4fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x4fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 <= n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (C1 <= midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1/2 <= x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] + && (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_xrnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_xrnint (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_xrnint (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000005, 1<=q<=16 + // <=> C * 10^(11-q) > 0x500000005, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x500000005 <=> + // C > 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1/2 up) + // Note: 0x500000005*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000005ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x4fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1/2 up) + // Note: 0x4fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x4fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (C1 <= midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1/2 <= x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] + && (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_floor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_floor (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_floor (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x500000000 <=> + // C > 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1 up) + // Note: 0x500000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000000ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1 up) + // Note: 0x500000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 <= n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return -1 or 0 + if (x_sign) + res = 0xffffffff; + else + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x < 2^31 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_xfloor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_xfloor (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_xfloor (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n < -2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x500000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x500000000 <=> + // C > 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1 up) + // Note: 0x500000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000000ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1 up) + // Note: 0x500000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 <= n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return -1 or 0 + if (x_sign) + res = 0xffffffff; + else + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x < 2^31 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_ceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_ceil (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_ceil (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x50000000a, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x50000000a, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x50000000a has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1 up) + // Note: 0x50000000a*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x50000000aull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n > 2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 - 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x4fffffff6, 1<=q<=16 + // <=> C * 10^(11-q) > 0x4fffffff6, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x4fffffff6 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x4fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x4fffffff6 <=> + // C > 0x4fffffff6 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1 up) + // Note: 0x4fffffff6*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x4fffffff6ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1 < n <= 2^31 - 1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 or 1 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x <= 2^31-1 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_xceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_xceil (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_xceil (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x50000000a, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x50000000a, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x50000000a has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1 up) + // Note: 0x50000000a*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x50000000aull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n > 2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^31 - 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x4fffffff6, 1<=q<=16 + // <=> C * 10^(11-q) > 0x4fffffff6, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x4fffffff6 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x4fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x4fffffff6 <=> + // C > 0x4fffffff6 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1 up) + // Note: 0x4fffffff6*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x4fffffff6ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1 < n <= 2^31 - 1 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 or 1 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x <= 2^31-1 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_int + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_int (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_int (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x50000000a, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x50000000a, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x50000000a has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1 up) + // Note: 0x50000000a*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x50000000aull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1 up) + // Note: 0x500000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1 < n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x < 2^31 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_xint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_xint (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_xint (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x50000000a, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x50000000a, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x50000000a has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x50000000aull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x50000000a <=> + // C >= 0x50000000a * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1 up) + // Note: 0x50000000a*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x50000000aull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x500000000 <=> + // C >= 0x500000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1 up) + // Note: 0x500000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1 < n < 2^31 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1 < x <= -1 or 1 <= x < 2^31 so x can be rounded + // to nearest to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_rninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_rninta (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_rninta (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000005, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000005, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x500000005 <=> + // C >= 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1/2 up) + // Note: 0x500000005*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000005ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x4fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1/2 up) + // Note: 0x4fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x4fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (C1 < midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1/2 <= x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest away to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*)-1 (logical right shift; C* has p decimal digits, + // correct by Pr. 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int32_xrninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int32_xrninta (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +int +bid64_to_int32_xrninta (UINT64 x _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in a signed 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 + // if n <= -2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x500000005, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x500000005, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x500000005ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x500000005 <=> + // C >= 0x500000005 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31+1/2 up) + // Note: 0x500000005*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x500000005ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } else { // if n > 0 and q + exp = 10 + // if n >= 2^31 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^31-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x4fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x4fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x500000005 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x4fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x4fffffffb <=> + // C >= 0x4fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^31-1/2 up) + // Note: 0x4fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x4fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32: -2^31 - 1/2 < n < 2^31 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; + if (C1 < midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffff; // return -1 + } else { // n > 0 + res = 0x00000001; // return +1 + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^31-1/2 <= x <= -1 or 1 <= x < 2^31-1/2 so x can be rounded + // to nearest away to a 32-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*)-1 (logical right shift; C* has p decimal digits, + // correct by Pr. 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int64.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int64.c new file mode 100644 index 0000000000..0a1758ebac --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int64.c @@ -0,0 +1,2329 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64_to_int64_rnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_rnint (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_rnint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=16 + // <=> C * 10^(20-q) > 0x50000000000000005, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x50000000000000005, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] > 0x05ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x4fffffffffffffffb, 1<=q<=16 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] > 0x04ull || + (C.w[1] == 0x04ull && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; // 0 <= ind <= 15 + if (C1 <= midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] && + (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_xrnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_xrnint (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_xrnint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64+1), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000005, 1<=q<=16 + // <=> C * 10^(20-q) > 0x50000000000000005, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x50000000000000005, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] > 0x05ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x4fffffffffffffffb, 1<=q<=16 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] > 0x04ull || + (C.w[1] == 0x04ull && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1/2 <= n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; // 0 <= ind <= 15 + if (C1 <= midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1/2 <= x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] && + (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_floor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_floor (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_floor (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=16 + // <=> C * 10^(20-q) > 0x50000000000000000, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x5000000000000000a, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] != 0)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x50000000000000000, 1<=q<=16 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] >= 0x05ull) { + // actually C.w[1] == 0x05ull && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63 <= n < 2^63 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return -1 or 0 + if (x_sign) + res = 0xffffffffffffffffull; + else + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_xfloor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_xfloor (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_xfloor (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n < -2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 > 0x50000000000000000, 1<=q<=16 + // <=> C * 10^(20-q) > 0x50000000000000000, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x5000000000000000a, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] != 0)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x50000000000000000, 1<=q<=16 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] >= 0x05ull) { + // actually C.w[1] == 0x05ull && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63 <= n < 2^63 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return -1 or 0 + if (x_sign) + res = 0xffffffffffffffffull; + else + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63 <= x <= -1 or 1 <= x < 2^63 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (x_sign) { // negative and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_ceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_ceil (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_ceil (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=16 + // <=> C * 10^(20-q) >= 0x5000000000000000a, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x5000000000000000a, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] >= 0x0aull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n > 2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64-2), 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=16 + // <=> if C * 10^(20-q) > 0x4fffffffffffffff6, 1<=q<=16 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffff6ull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] > 0x04ull || + (C.w[1] == 0x04ull && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 or 1 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_xceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_xceil (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_xceil (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=16 + // <=> C * 10^(20-q) >= 0x5000000000000000a, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x5000000000000000a, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] >= 0x0aull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n > 2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) > 2^63 - 1 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 5*(2^64-2), 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 > 0x4fffffffffffffff6, 1<=q<=16 + // <=> if C * 10^(20-q) > 0x4fffffffffffffff6, 1<=q<=16 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffff6ull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] > 0x04ull || + (C.w[1] == 0x04ull && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 or 1 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x <= 2^63 - 1 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + if (!x_sign) { // positive and inexact + Cstar++; + } + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_int + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_int (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_int (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=16 + // <=> C * 10^(20-q) >= 0x5000000000000000a, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x5000000000000000a, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] >= 0x0aull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x50000000000000000, 1<=q<=16 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] >= 0x05ull) { + // actually C.w[1] == 0x05ull && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_xint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_xint (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_xint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+2), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x5000000000000000a, 1<=q<=16 + // <=> C * 10^(20-q) >= 0x5000000000000000a, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x5000000000000000a, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] >= 0x0aull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*2^64, 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000000, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x50000000000000000, 1<=q<=16 + C.w[1] = 0x0000000000000005ull; + C.w[0] = 0x0000000000000000ull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] >= 0x05ull) { + // actually C.w[1] == 0x05ull && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1 < n < 2^63 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1 < x <= -1 or 1 <= x < 2^63 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_rninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_rninta (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_rninta (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=16 + // <=> C * 10^(20-q) >= 0x50000000000000005, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x50000000000000005, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] >= 0x05ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x4fffffffffffffffb, 1<=q<=16 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] > 0x04ull || + (C.w[1] == 0x04ull && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1/2 < n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; // 0 <= ind <= 15 + if (C1 < midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1/2 < x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_int64_xrninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_int64_xrninta (SINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +SINT64 +bid64_to_int64_xrninta (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + SINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 19) { // x >= 10^19 ~= 2^63.11... (cannot fit in SINT64) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 19) { // x = c(0)c(1)...c(18).c(19)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in a signed 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 19' + if (x_sign) { // if n < 0 and q + exp = 19 + // if n <= -2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63+1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64+1), 1<=q<=16 + // <=> 0.c(0)c(1)...c(q-1) * 10^20 >= 0x50000000000000005, 1<=q<=16 + // <=> C * 10^(20-q) >= 0x50000000000000005, 1<=q<=16 + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + // Note: C1 * 10^(11-q) has 19 or 20 digits; 0x50000000000000005, has 20 + if (C.w[1] > 0x05ull || (C.w[1] == 0x05ull && C.w[0] >= 0x05ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } else { // if n > 0 and q + exp = 19 + // if n >= 2^63 - 1/2 then n is too large + // too large if c(0)c(1)...c(18).c(19)...c(q-1) >= 2^63-1/2 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 5*(2^64-1), 1<=q<=16 + // <=> if 0.c(0)c(1)...c(q-1) * 10^20 >= 0x4fffffffffffffffb, 1<=q<=16 + // <=> if C * 10^(20-q) >= 0x4fffffffffffffffb, 1<=q<=16 + C.w[1] = 0x0000000000000004ull; + C.w[0] = 0xfffffffffffffffbull; + // 1 <= q <= 16 => 4 <= 20-q <= 19 => 10^(20-q) is 64-bit, and so is C1 + __mul_64x64_to_128MACH (C, C1, ten2k64[20 - q]); + if (C.w[1] > 0x04ull || + (C.w[1] == 0x04ull && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 19' + } // end else if n > 0 and q + exp = 19 + } // end else if ((q + exp) == 19) + + // n is not too large to be converted to int64: -2^63-1/2 < n < 2^63-1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else + // res = +/-1 + ind = q - 1; // 0 <= ind <= 15 + if (C1 < midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (x_sign) { // n < 0 + res = 0xffffffffffffffffull; // return -1 + } else { // n > 0 + res = 0x0000000000000001ull; // return +1 + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 19, 1 <= q <= 16, -15 <= exp <= 18) + // -2^63-1/2 < x <= -1 or 1 <= x < 2^63-1/2 so x can be rounded + // to nearest to a 64-bit signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 19 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero + if (x_sign) + res = -Cstar; + else + res = Cstar; + } else if (exp == 0) { + // 1 <= q <= 16 + // res = +/-C (exact) + if (x_sign) + res = -C1; + else + res = C1; + } else { // if (exp > 0) => 1 <= exp <= 18, 1 <= q <= 16, 2 <= q + exp <= 20 + // (the upper limit of 20 on q + exp is due to the fact that + // +/-C * 10^exp is guaranteed to fit in 64 bits) + // res = +/-C * 10^exp (exact) + if (x_sign) + res = -C1 * ten2k64[exp]; + else + res = C1 * ten2k64[exp]; + } + } + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int8.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int8.c new file mode 100644 index 0000000000..064b13708f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_int8.c @@ -0,0 +1,69 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffffff80 +#define INVALID_RESULT 0x80 + + + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_rnint, UINT64, x, + bid64_to_int32_rnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_xrnint, UINT64, x, + bid64_to_int32_xrnint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_rninta, UINT64, x, + bid64_to_int32_rninta, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_xrninta, UINT64, x, + bid64_to_int32_xrninta, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_int, UINT64, x, + bid64_to_int32_int, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_xint, UINT64, x, + bid64_to_int32_xint, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_floor, UINT64, x, + bid64_to_int32_floor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_ceil, UINT64, x, + bid64_to_int32_ceil, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_xfloor, UINT64, x, + bid64_to_int32_xfloor, int, SIZE_MASK, + INVALID_RESULT) + +BID_TO_SMALL_INT_CVT_FUNCTION (char, bid64_to_int8_xceil, UINT64, x, + bid64_to_int32_xceil, int, SIZE_MASK, + INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint16.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint16.c new file mode 100644 index 0000000000..693bf75379 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint16.c @@ -0,0 +1,67 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffff0000 +#define INVALID_RESULT 0x8000 + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_rnint, + UINT64, x, bid64_to_uint32_rnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_xrnint, + UINT64, x, bid64_to_uint32_xrnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_rninta, + UINT64, x, bid64_to_uint32_rninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_xrninta, + UINT64, x, bid64_to_uint32_xrninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_int, + UINT64, x, bid64_to_uint32_int, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_xint, + UINT64, x, bid64_to_uint32_xint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_floor, + UINT64, x, bid64_to_uint32_floor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_ceil, + UINT64, x, bid64_to_uint32_ceil, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_xfloor, + UINT64, x, bid64_to_uint32_xfloor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned short, bid64_to_uint16_xceil, + UINT64, x, bid64_to_uint32_xceil, + unsigned int, SIZE_MASK, INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint32.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint32.c new file mode 100644 index 0000000000..6b3fbec172 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint32.c @@ -0,0 +1,2270 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64_to_uint32_rnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_rnint (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_rnint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x9fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x9fffffffb has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0x9fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x9fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1/2 <= n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (C1 <= midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^32-1/2 <= x <= -1 or 1 <= x < 2^32-1/2 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32-1/2 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] && + (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_xrnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_xrnint (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_xrnint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x9fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x9fffffffb has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0x9fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x9fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1/2 <= n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (C1 <= midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // n > 0 + res = 0x00000001; // return +1 + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^32-1/2 <= x <= -1 or 1 <= x < 2^32-1/2 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32-1/2 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] && + (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_floor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_floor (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_floor (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + if (x_sign) { // if n < 0 the conversion is invalid + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + // n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0xa00000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0xa00000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0xa00000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0xa00000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + // n is not too large to be converted to int32 if -1 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // 1 <= x < 2^32 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_xfloor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_xfloor (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_xfloor (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + if (x_sign) { // if n < 0 the conversion is invalid + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + // if n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0xa00000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0xa00000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0xa00000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0xa00000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + // n is not too large to be converted to int32 if -1 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // 1 <= x < 2^32 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_ceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_ceil (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_ceil (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n > 2^32 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^32 - 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x9fffffff6, 1<=q<=16 + // <=> C * 10^(11-q) > 0x9fffffff6, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x9fffffff6 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x9fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x9fffffff6 <=> + // C > 0x9fffffff6 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1 up) + // Note: 0x9fffffff6*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x9fffffff6ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 or 1 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // x <= -1 or 1 <= x <= 2^32 - 1 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x <= 2^32 - 1 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_xceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_xceil (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_xceil (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n > 2^32 - 1 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) > 2^32 - 1 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 > 0x9fffffff6, 1<=q<=16 + // <=> C * 10^(11-q) > 0x9fffffff6, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x9fffffff6 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 > 0x9fffffff6ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) > 0x9fffffff6 <=> + // C > 0x9fffffff6 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1 up) + // Note: 0x9fffffff6*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x9fffffff6ull * ten2k64[q - 11]; + if (C1 > tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 or 1 + if (x_sign) + res = 0x00000000; + else + res = 0x00000001; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // x <= -1 or 1 <= x < 2^32 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_int + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_int (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_int (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0xa00000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0xa00000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0xa00000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0xa00000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // x <= -1 or 1 <= x < 2^32 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_xint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_xint (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_xint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0xa00000000, 1<=q<=16 + // <=> C * 10^(11-q) >= 0xa00000000, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0xa00000000 has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0xa00000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0xa00000000 <=> + // C >= 0xa00000000 * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0xa00000000*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0xa00000000ull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1 < n < 2^32 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // x <= -1 or 1 <= x < 2^32 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_rninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_rninta (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_rninta (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x9fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x9fffffffb has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0x9fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x9fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1/2 < n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (C1 < midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // n > 0 + res = 0x00000001; // return +1 + } + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^32-1/2 <= x <= -1 or 1 <= x < 2^32-1/2 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32-1/2 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint32_xrninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint32_xrninta (unsigned int *pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +unsigned int +bid64_to_uint32_xrninta (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + unsigned int res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x00000000; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 10) { // x >= 10^10 ~= 2^33.2... (cannot fit in 32 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else if ((q + exp) == 10) { // x = c(0)c(1)...c(9).c(10)...c(q-1) + // in this case 2^29.89... ~= 10^9 <= x < 10^10 ~= 2^33.2... + // so x rounded to an integer may or may not fit in an unsigned 32-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 10' + if (x_sign) { // if n < 0 and q + exp = 10 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 10 + // if n >= 2^32 - 1/2 then n is too large + // too large if c(0)c(1)...c(9).c(10)...c(q-1) >= 2^32-1/2 + // <=> 0.c(0)c(1)...c(q-1) * 10^11 >= 0x9fffffffb, 1<=q<=16 + // <=> C * 10^(11-q) >= 0x9fffffffb, 1<=q<=16 + if (q <= 11) { + // Note: C * 10^(11-q) has 10 or 11 digits; 0x9fffffffb has 11 digits + tmp64 = C1 * ten2k64[11 - q]; // C scaled up to 11-digit int + // c(0)c(1)...c(9)c(10) or c(0)c(1)...c(q-1)0...0 (11 digits) + if (tmp64 >= 0x9fffffffbull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit unsigned int fall through + // to '1 <= q + exp <= 10' + } else { // if (q > 11), i.e. 12 <= q <= 16 and so -15 <= exp <= -2 + // C * 10^(11-q) >= 0x9fffffffb <=> + // C >= 0x9fffffffb * 10^(q-11) where 1 <= q - 11 <= 5 + // (scale 2^32-1/2 up) + // Note: 0x9fffffffb*10^(q-11) has q-1 or q digits, where q <= 16 + tmp64 = 0x9fffffffbull * ten2k64[q - 11]; + if (C1 >= tmp64) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // else cases that can be rounded to a 32-bit int fall through + // to '1 <= q + exp <= 10' + } + } + } + // n is not too large to be converted to int32 if -1/2 < n < 2^32 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x00000000; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; + if (C1 < midpoint64[ind]) { + res = 0x00000000; // return 0 + } else if (x_sign) { // n < 0 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } else { // n > 0 + res = 0x00000001; // return +1 + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 10, 1 <= q <= 16, -15 <= exp <= 9) + // -2^32-1/2 <= x <= -1 or 1 <= x < 2^32-1/2 so if positive, x can be + // rounded to nearest to a 32-bit unsigned integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x80000000; + BID_RETURN (res); + } + // 1 <= x < 2^32-1/2 so x can be rounded + // to nearest to a 32-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 10 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint64.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint64.c new file mode 100644 index 0000000000..98a8af1ba4 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint64.c @@ -0,0 +1,2273 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64_to_uint64_rnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_rnint (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_rnint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0x9fffffffffffffffb + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 <= n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; // 0 <= ind <= 15 + if (C1 <= midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x0000000000000001ull; // return +1 + } else { // if n < 0 + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] && + (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_xrnint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_xrnint (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_xrnint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0x9fffffffffffffffb + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 <= n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) <= 0.5 <=> c(0)c(1)...c(q-1) <= 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; // 0 <= ind <= 15 + if (C1 <= midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x0000000000000001ull; // return +1 + } else { // if n < 0 + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero, so + // it will need a correction + // check for midpoints + if ((fstar.w[1] == 0) && fstar.w[0] && + (fstar.w[0] <= ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // the result is a midpoint; round to nearest + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result >= 1 + Cstar--; // Cstar is now even + } // else MP in [ODD, EVEN] + } + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_floor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_floor (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_floor (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + if (x_sign) { // if n < 0 the conversion is invalid + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + // n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65) + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0xa0000000000000000 + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // 1 <= x < 2^64 so x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_xfloor + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_xfloor (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_xfloor (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + if (x_sign) { // if n < 0 the conversion is invalid + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + // n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65) + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0xa0000000000000000 + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // 1 <= x < 2^64 so x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_ceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_ceil (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_ceil (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n > 2^64 - 1 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65 - 2) + // <=> C * 10^(21-q) > 0x9fffffffffffffff6, 1<=q<=16 + if (q == 1) { + // C * 10^20 > 0x9fffffffffffffff6 + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0x9fffffffffffffff6 + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 or 1 + if (x_sign) + res = 0x0000000000000000ull; + else + res = 0x0000000000000001ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x <= 2^64 - 1 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x <= 2^64 - 1 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_xceil + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_xceil (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_xceil (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n > 2^64 - 1 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 > 2^64 - 1 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65 - 2) + // <=> C * 10^(21-q) > 0x9fffffffffffffff6, 1<=q<=16 + if (q == 1) { + // C * 10^20 > 0x9fffffffffffffff6 + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0x9fffffffffffffff6 + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] > 0xfffffffffffffff6ull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 or 1 + if (x_sign) + res = 0x0000000000000000ull; + else + res = 0x0000000000000001ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x <= 2^64 - 1 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x <= 2^64 - 1 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + Cstar++; + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_int + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_int (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_int (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) +{ +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65) + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0xa0000000000000000 + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_xint + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_xint (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_xint (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65) + // <=> C * 10^(21-q) >= 0xa0000000000000000, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0xa0000000000000000 + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0xa0000000000000000 + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] >= 0x0a) { + // actually C.w[1] == 0x0a && C.w[0] >= 0x0000000000000000ull) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1 < n < 2^64 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) <= 0) { // n = +/-0.[0...0]c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 fits in 64 bits + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = C1 * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* < 10^(-x)) then + // the result is exact + // else // if (f* > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } + + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_rninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_rninta (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_rninta (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0x9fffffffffffffffb + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 <= n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; // 0 <= ind <= 15 + if (C1 < midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x0000000000000001ull; // return +1 + } else { // if n < 0 + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + + // if the result was a midpoint it was rounded away from zero + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} + +/***************************************************************************** + * BID64_to_uint64_xrninta + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_uint64_xrninta (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT64 +bid64_to_uint64_xrninta (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 res; + UINT64 x_sign; + UINT64 x_exp; + int exp; // unbiased exponent + // Note: C1 represents x_significand (UINT64) + UINT64 tmp64; + BID_UI64DOUBLE tmp1; + unsigned int x_nr_bits; + int q, ind, shift; + UINT64 C1; + UINT128 C; + UINT64 Cstar; // C* represents up to 16 decimal digits ~ 54 bits + UINT128 fstar; + UINT128 P128; + + // check for NaN or Infinity + if ((x & MASK_NAN) == MASK_NAN || (x & MASK_INF) == MASK_INF) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // unpack x + x_sign = x & MASK_SIGN; // 0 for positive, MASK_SIGN for negative + // if steering bits are 11 (condition will be 0), then exponent is G[0:w+1] => + if ((x & MASK_STEERING_BITS) == MASK_STEERING_BITS) { + x_exp = (x & MASK_BINARY_EXPONENT2) >> 51; // biased + C1 = (x & MASK_BINARY_SIG2) | MASK_BINARY_OR2; + if (C1 > 9999999999999999ull) { // non-canonical + x_exp = 0; + C1 = 0; + } + } else { + x_exp = (x & MASK_BINARY_EXPONENT1) >> 53; // biased + C1 = x & MASK_BINARY_SIG1; + } + + // check for zeros (possibly from non-canonical values) + if (C1 == 0x0ull) { + // x is 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } + // x is not special and is not zero + + // q = nr. of decimal digits in x (1 <= q <= 54) + // determine first the nr. of bits in x + if (C1 >= 0x0020000000000000ull) { // x >= 2^53 + // split the 64-bit value in two 32-bit halves to avoid rounding errors + if (C1 >= 0x0000000100000000ull) { // x >= 2^32 + tmp1.d = (double) (C1 >> 32); // exact conversion + x_nr_bits = + 33 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } else { // x < 2^32 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + } else { // if x < 2^53 + tmp1.d = (double) C1; // exact conversion + x_nr_bits = + 1 + ((((unsigned int) (tmp1.ui64 >> 52)) & 0x7ff) - 0x3ff); + } + q = nr_digits[x_nr_bits - 1].digits; + if (q == 0) { + q = nr_digits[x_nr_bits - 1].digits1; + if (C1 >= nr_digits[x_nr_bits - 1].threshold_lo) + q++; + } + exp = x_exp - 398; // unbiased exponent + + if ((q + exp) > 20) { // x >= 10^20 ~= 2^66.45... (cannot fit in 64 bits) + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 20) { // x = c(0)c(1)...c(19).c(20)...c(q-1) + // in this case 2^63.11... ~= 10^19 <= x < 10^20 ~= 2^66.43... + // so x rounded to an integer may or may not fit in an unsigned 64-bit int + // the cases that do not fit are identified here; the ones that fit + // fall through and will be handled with other cases further, + // under '1 <= q + exp <= 20' + if (x_sign) { // if n < 0 and q + exp = 20 then x is much less than -1/2 + // => set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } else { // if n > 0 and q + exp = 20 + // if n >= 2^64 - 1/2 then n is too large + // <=> c(0)c(1)...c(19).c(20)...c(q-1) >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^20 >= 2^64-1/2 + // <=> 0.c(0)c(1)...c(19)c(20)...c(q-1) * 10^21 >= 5*(2^65-1) + // <=> C * 10^(21-q) >= 0x9fffffffffffffffb, 1<=q<=16 + if (q == 1) { + // C * 10^20 >= 0x9fffffffffffffffb + __mul_128x64_to_128 (C, C1, ten2k128[0]); // 10^20 * C + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } else { // if (2 <= q <= 16) => 5 <= 21 - q <= 19 + // Note: C * 10^(21-q) has 20 or 21 digits; 0x9fffffffffffffffb + // has 21 digits + __mul_64x64_to_128MACH (C, C1, ten2k64[21 - q]); + if (C.w[1] > 0x09 || + (C.w[1] == 0x09 && C.w[0] >= 0xfffffffffffffffbull)) { + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // else cases that can be rounded to a 64-bit int fall through + // to '1 <= q + exp <= 20' + } + } + } + // n is not too large to be converted to int64 if -1/2 <= n < 2^64 - 1/2 + // Note: some of the cases tested for above fall through to this point + if ((q + exp) < 0) { // n = +/-0.0...c(0)c(1)...c(q-1) + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + // return 0 + res = 0x0000000000000000ull; + BID_RETURN (res); + } else if ((q + exp) == 0) { // n = +/-0.c(0)c(1)...c(q-1) + // if 0.c(0)c(1)...c(q-1) < 0.5 <=> c(0)c(1)...c(q-1) < 5 * 10^(q-1) + // res = 0 + // else if x > 0 + // res = +1 + // else // if x < 0 + // invalid exc + ind = q - 1; // 0 <= ind <= 15 + if (C1 < midpoint64[ind]) { + res = 0x0000000000000000ull; // return 0 + } else if (!x_sign) { // n > 0 + res = 0x0000000000000001ull; // return +1 + } else { // if n < 0 + res = 0x8000000000000000ull; + *pfpsf |= INVALID_EXCEPTION; + BID_RETURN (res); + } + // set inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } else { // if (1 <= q + exp <= 20, 1 <= q <= 16, -15 <= exp <= 19) + // x <= -1 or 1 <= x < 2^64-1/2 so if positive x can be rounded + // to nearest to a 64-bit unsigned signed integer + if (x_sign) { // x <= -1 + // set invalid flag + *pfpsf |= INVALID_EXCEPTION; + // return Integer Indefinite + res = 0x8000000000000000ull; + BID_RETURN (res); + } + // 1 <= x < 2^64-1/2 so x can be rounded + // to nearest to a 64-bit unsigned integer + if (exp < 0) { // 2 <= q <= 16, -15 <= exp <= -1, 1 <= q + exp <= 20 + ind = -exp; // 1 <= ind <= 15; ind is a synonym for 'x' + // chop off ind digits from the lower part of C1 + // C1 = C1 + 1/2 * 10^ind where the result C1 fits in 64 bits + C1 = C1 + midpoint64[ind - 1]; + // calculate C* and f* + // C* is actually floor(C*) in this case + // C* and f* need shifting and masking, as shown by + // shiftright128[] and maskhigh128[] + // 1 <= x <= 15 + // kx = 10^(-x) = ten2mk64[ind - 1] + // C* = (C1 + 1/2 * 10^x) * 10^(-x) + // the approximation of 10^(-x) was rounded up to 54 bits + __mul_64x64_to_128MACH (P128, C1, ten2mk64[ind - 1]); + Cstar = P128.w[1]; + fstar.w[1] = P128.w[1] & maskhigh128[ind - 1]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mk128trunc[ind].w[0], e.g. + // if x=1, T*=ten2mk128trunc[0].w[0]=0x1999999999999999 + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has p decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has p decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has p decimal digits, + // correct by Property 1) + // n = C* * 10^(e+x) + + // shift right C* by Ex-64 = shiftright128[ind] + shift = shiftright128[ind - 1]; // 0 <= shift <= 39 + Cstar = Cstar >> shift; + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind - 1 <= 2) { // fstar.w[1] is 0 + if (fstar.w[0] > 0x8000000000000000ull) { + // f* > 1/2 and the result may be exact + tmp64 = fstar.w[0] - 0x8000000000000000ull; // f* - 1/2 + if ((tmp64 > ten2mk128trunc[ind - 1].w[1])) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } else { // if 3 <= ind - 1 <= 14 + if (fstar.w[1] > onehalf128[ind - 1] || + (fstar.w[1] == onehalf128[ind - 1] && fstar.w[0])) { + // f2* > 1/2 and the result may be exact + // Calculate f2* - 1/2 + tmp64 = fstar.w[1] - onehalf128[ind - 1]; + if (tmp64 || fstar.w[0] > ten2mk128trunc[ind - 1].w[1]) { + // ten2mk128trunc[ind -1].w[1] is identical to + // ten2mk128[ind -1].w[1] + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + // set the inexact flag + *pfpsf |= INEXACT_EXCEPTION; + } + } + + // if the result was a midpoint it was rounded away from zero + res = Cstar; // the result is positive + } else if (exp == 0) { + // 1 <= q <= 10 + // res = +C (exact) + res = C1; // the result is positive + } else { // if (exp > 0) => 1 <= exp <= 9, 1 <= q < 9, 2 <= q + exp <= 10 + // res = +C * 10^exp (exact) + res = C1 * ten2k64[exp]; // the result is positive + } + } + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint8.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint8.c new file mode 100644 index 0000000000..528e55742b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid64_to_uint8.c @@ -0,0 +1,67 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +#define SIZE_MASK 0xffffff00 +#define INVALID_RESULT 0x80 + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_rnint, + UINT64, x, bid64_to_uint32_rnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_xrnint, + UINT64, x, bid64_to_uint32_xrnint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_rninta, + UINT64, x, bid64_to_uint32_rninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_xrninta, + UINT64, x, bid64_to_uint32_xrninta, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_int, + UINT64, x, bid64_to_uint32_int, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_xint, + UINT64, x, bid64_to_uint32_xint, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_floor, + UINT64, x, bid64_to_uint32_floor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_ceil, + UINT64, x, bid64_to_uint32_ceil, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_xfloor, + UINT64, x, bid64_to_uint32_xfloor, + unsigned int, SIZE_MASK, INVALID_RESULT) + +BID_TO_SMALL_UINT_CVT_FUNCTION (unsigned char, bid64_to_uint8_xceil, + UINT64, x, bid64_to_uint32_xceil, + unsigned int, SIZE_MASK, INVALID_RESULT) diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_b2d.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_b2d.h new file mode 100644 index 0000000000..983ace94c6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_b2d.h @@ -0,0 +1,3055 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +const UINT64 d2b[] = + { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 80, 81, 800, 801, 880, 881, + 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 90, 91, 810, 811, 890, 891, + 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 82, 83, 820, 821, 808, 809, + 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 92, 93, 830, 831, 818, 819, + 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 84, 85, 840, 841, 88, 89, + 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 94, 95, 850, 851, 98, 99, + 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 86, 87, 860, 861, 888, 889, + 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 96, 97, 870, 871, 898, 899, + 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 180, 181, 900, 901, + 980, 981, + 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 190, 191, 910, 911, + 990, 991, + 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 182, 183, 920, 921, + 908, 909, + 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 192, 193, 930, 931, + 918, 919, + 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 184, 185, 940, 941, + 188, 189, + 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 194, 195, 950, 951, + 198, 199, + 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 186, 187, 960, 961, + 988, 989, + 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 196, 197, 970, 971, + 998, 999, + 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 280, 281, 802, 803, + 882, 883, + 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 290, 291, 812, 813, + 892, 893, + 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 282, 283, 822, 823, + 828, 829, + 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 292, 293, 832, 833, + 838, 839, + 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 284, 285, 842, 843, + 288, 289, + 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 294, 295, 852, 853, + 298, 299, + 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 286, 287, 862, 863, + 888, 889, + 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 296, 297, 872, 873, + 898, 899, + 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 380, 381, 902, 903, + 982, 983, + 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 390, 391, 912, 913, + 992, 993, + 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 382, 383, 922, 923, + 928, 929, + 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 392, 393, 932, 933, + 938, 939, + 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 384, 385, 942, 943, + 388, 389, + 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 394, 395, 952, 953, + 398, 399, + 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 386, 387, 962, 963, + 988, 989, + 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 396, 397, 972, 973, + 998, 999, + 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 480, 481, 804, 805, + 884, 885, + 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 490, 491, 814, 815, + 894, 895, + 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 482, 483, 824, 825, + 848, 849, + 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 492, 493, 834, 835, + 858, 859, + 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 484, 485, 844, 845, + 488, 489, + 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 494, 495, 854, 855, + 498, 499, + 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 486, 487, 864, 865, + 888, 889, + 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 496, 497, 874, 875, + 898, 899, + 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 580, 581, 904, 905, + 984, 985, + 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 590, 591, 914, 915, + 994, 995, + 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 582, 583, 924, 925, + 948, 949, + 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 592, 593, 934, 935, + 958, 959, + 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 584, 585, 944, 945, + 588, 589, + 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 594, 595, 954, 955, + 598, 599, + 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 586, 587, 964, 965, + 988, 989, + 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 596, 597, 974, 975, + 998, 999, + 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 680, 681, 806, 807, + 886, 887, + 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 690, 691, 816, 817, + 896, 897, + 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 682, 683, 826, 827, + 868, 869, + 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 692, 693, 836, 837, + 878, 879, + 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 684, 685, 846, 847, + 688, 689, + 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 694, 695, 856, 857, + 698, 699, + 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 686, 687, 866, 867, + 888, 889, + 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 696, 697, 876, 877, + 898, 899, + 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 780, 781, 906, 907, + 986, 987, + 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 790, 791, 916, 917, + 996, 997, + 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 782, 783, 926, 927, + 968, 969, + 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 792, 793, 936, 937, + 978, 979, + 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 784, 785, 946, 947, + 788, 789, + 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 794, 795, 956, 957, + 798, 799, + 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 786, 787, 966, 967, + 988, 989, + 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 796, 797, 976, 977, + 998, 999 +}; + +const UINT64 d2b2[] = + { 0000ull, 1000ull, 2000ull, 3000ull, 4000ull, 5000ull, 6000ull, + 7000ull, 8000ull, 9000ull, 80000ull, 81000ull, 800000ull, 801000ull, + 880000ull, + 881000ull, + 10000ull, 11000ull, 12000ull, 13000ull, 14000ull, 15000ull, 16000ull, + 17000ull, 18000ull, 19000ull, 90000ull, 91000ull, 810000ull, + 811000ull, 890000ull, 891000ull, + 20000ull, 21000ull, 22000ull, 23000ull, 24000ull, 25000ull, 26000ull, + 27000ull, 28000ull, 29000ull, 82000ull, 83000ull, 820000ull, + 821000ull, 808000ull, 809000ull, + 30000ull, 31000ull, 32000ull, 33000ull, 34000ull, 35000ull, 36000ull, + 37000ull, 38000ull, 39000ull, 92000ull, 93000ull, 830000ull, + 831000ull, 818000ull, 819000ull, + 40000ull, 41000ull, 42000ull, 43000ull, 44000ull, 45000ull, 46000ull, + 47000ull, 48000ull, 49000ull, 84000ull, 85000ull, 840000ull, + 841000ull, 88000ull, 89000ull, + 50000ull, 51000ull, 52000ull, 53000ull, 54000ull, 55000ull, 56000ull, + 57000ull, 58000ull, 59000ull, 94000ull, 95000ull, 850000ull, + 851000ull, 98000ull, 99000ull, + 60000ull, 61000ull, 62000ull, 63000ull, 64000ull, 65000ull, 66000ull, + 67000ull, 68000ull, 69000ull, 86000ull, 87000ull, 860000ull, + 861000ull, 888000ull, 889000ull, + 70000ull, 71000ull, 72000ull, 73000ull, 74000ull, 75000ull, 76000ull, + 77000ull, 78000ull, 79000ull, 96000ull, 97000ull, 870000ull, + 871000ull, 898000ull, 899000ull, + 100000ull, 101000ull, 102000ull, 103000ull, 104000ull, 105000ull, + 106000ull, 107000ull, 108000ull, 109000ull, 180000ull, 181000ull, + 900000ull, 901000ull, 980000ull, 981000ull, + 110000ull, 111000ull, 112000ull, 113000ull, 114000ull, 115000ull, + 116000ull, 117000ull, 118000ull, 119000ull, 190000ull, 191000ull, + 910000ull, 911000ull, 990000ull, 991000ull, + 120000ull, 121000ull, 122000ull, 123000ull, 124000ull, 125000ull, + 126000ull, 127000ull, 128000ull, 129000ull, 182000ull, 183000ull, + 920000ull, 921000ull, 908000ull, 909000ull, + 130000ull, 131000ull, 132000ull, 133000ull, 134000ull, 135000ull, + 136000ull, 137000ull, 138000ull, 139000ull, 192000ull, 193000ull, + 930000ull, 931000ull, 918000ull, 919000ull, + 140000ull, 141000ull, 142000ull, 143000ull, 144000ull, 145000ull, + 146000ull, 147000ull, 148000ull, 149000ull, 184000ull, 185000ull, + 940000ull, 941000ull, 188000ull, 189000ull, + 150000ull, 151000ull, 152000ull, 153000ull, 154000ull, 155000ull, + 156000ull, 157000ull, 158000ull, 159000ull, 194000ull, 195000ull, + 950000ull, 951000ull, 198000ull, 199000ull, + 160000ull, 161000ull, 162000ull, 163000ull, 164000ull, 165000ull, + 166000ull, 167000ull, 168000ull, 169000ull, 186000ull, 187000ull, + 960000ull, 961000ull, 988000ull, 989000ull, + 170000ull, 171000ull, 172000ull, 173000ull, 174000ull, 175000ull, + 176000ull, 177000ull, 178000ull, 179000ull, 196000ull, 197000ull, + 970000ull, 971000ull, 998000ull, 999000ull, + 200000ull, 201000ull, 202000ull, 203000ull, 204000ull, 205000ull, + 206000ull, 207000ull, 208000ull, 209000ull, 280000ull, 281000ull, + 802000ull, 803000ull, 882000ull, 883000ull, + 210000ull, 211000ull, 212000ull, 213000ull, 214000ull, 215000ull, + 216000ull, 217000ull, 218000ull, 219000ull, 290000ull, 291000ull, + 812000ull, 813000ull, 892000ull, 893000ull, + 220000ull, 221000ull, 222000ull, 223000ull, 224000ull, 225000ull, + 226000ull, 227000ull, 228000ull, 229000ull, 282000ull, 283000ull, + 822000ull, 823000ull, 828000ull, 829000ull, + 230000ull, 231000ull, 232000ull, 233000ull, 234000ull, 235000ull, + 236000ull, 237000ull, 238000ull, 239000ull, 292000ull, 293000ull, + 832000ull, 833000ull, 838000ull, 839000ull, + 240000ull, 241000ull, 242000ull, 243000ull, 244000ull, 245000ull, + 246000ull, 247000ull, 248000ull, 249000ull, 284000ull, 285000ull, + 842000ull, 843000ull, 288000ull, 289000ull, + 250000ull, 251000ull, 252000ull, 253000ull, 254000ull, 255000ull, + 256000ull, 257000ull, 258000ull, 259000ull, 294000ull, 295000ull, + 852000ull, 853000ull, 298000ull, 299000ull, + 260000ull, 261000ull, 262000ull, 263000ull, 264000ull, 265000ull, + 266000ull, 267000ull, 268000ull, 269000ull, 286000ull, 287000ull, + 862000ull, 863000ull, 888000ull, 889000ull, + 270000ull, 271000ull, 272000ull, 273000ull, 274000ull, 275000ull, + 276000ull, 277000ull, 278000ull, 279000ull, 296000ull, 297000ull, + 872000ull, 873000ull, 898000ull, 899000ull, + 300000ull, 301000ull, 302000ull, 303000ull, 304000ull, 305000ull, + 306000ull, 307000ull, 308000ull, 309000ull, 380000ull, 381000ull, + 902000ull, 903000ull, 982000ull, 983000ull, + 310000ull, 311000ull, 312000ull, 313000ull, 314000ull, 315000ull, + 316000ull, 317000ull, 318000ull, 319000ull, 390000ull, 391000ull, + 912000ull, 913000ull, 992000ull, 993000ull, + 320000ull, 321000ull, 322000ull, 323000ull, 324000ull, 325000ull, + 326000ull, 327000ull, 328000ull, 329000ull, 382000ull, 383000ull, + 922000ull, 923000ull, 928000ull, 929000ull, + 330000ull, 331000ull, 332000ull, 333000ull, 334000ull, 335000ull, + 336000ull, 337000ull, 338000ull, 339000ull, 392000ull, 393000ull, + 932000ull, 933000ull, 938000ull, 939000ull, + 340000ull, 341000ull, 342000ull, 343000ull, 344000ull, 345000ull, + 346000ull, 347000ull, 348000ull, 349000ull, 384000ull, 385000ull, + 942000ull, 943000ull, 388000ull, 389000ull, + 350000ull, 351000ull, 352000ull, 353000ull, 354000ull, 355000ull, + 356000ull, 357000ull, 358000ull, 359000ull, 394000ull, 395000ull, + 952000ull, 953000ull, 398000ull, 399000ull, + 360000ull, 361000ull, 362000ull, 363000ull, 364000ull, 365000ull, + 366000ull, 367000ull, 368000ull, 369000ull, 386000ull, 387000ull, + 962000ull, 963000ull, 988000ull, 989000ull, + 370000ull, 371000ull, 372000ull, 373000ull, 374000ull, 375000ull, + 376000ull, 377000ull, 378000ull, 379000ull, 396000ull, 397000ull, + 972000ull, 973000ull, 998000ull, 999000ull, + 400000ull, 401000ull, 402000ull, 403000ull, 404000ull, 405000ull, + 406000ull, 407000ull, 408000ull, 409000ull, 480000ull, 481000ull, + 804000ull, 805000ull, 884000ull, 885000ull, + 410000ull, 411000ull, 412000ull, 413000ull, 414000ull, 415000ull, + 416000ull, 417000ull, 418000ull, 419000ull, 490000ull, 491000ull, + 814000ull, 815000ull, 894000ull, 895000ull, + 420000ull, 421000ull, 422000ull, 423000ull, 424000ull, 425000ull, + 426000ull, 427000ull, 428000ull, 429000ull, 482000ull, 483000ull, + 824000ull, 825000ull, 848000ull, 849000ull, + 430000ull, 431000ull, 432000ull, 433000ull, 434000ull, 435000ull, + 436000ull, 437000ull, 438000ull, 439000ull, 492000ull, 493000ull, + 834000ull, 835000ull, 858000ull, 859000ull, + 440000ull, 441000ull, 442000ull, 443000ull, 444000ull, 445000ull, + 446000ull, 447000ull, 448000ull, 449000ull, 484000ull, 485000ull, + 844000ull, 845000ull, 488000ull, 489000ull, + 450000ull, 451000ull, 452000ull, 453000ull, 454000ull, 455000ull, + 456000ull, 457000ull, 458000ull, 459000ull, 494000ull, 495000ull, + 854000ull, 855000ull, 498000ull, 499000ull, + 460000ull, 461000ull, 462000ull, 463000ull, 464000ull, 465000ull, + 466000ull, 467000ull, 468000ull, 469000ull, 486000ull, 487000ull, + 864000ull, 865000ull, 888000ull, 889000ull, + 470000ull, 471000ull, 472000ull, 473000ull, 474000ull, 475000ull, + 476000ull, 477000ull, 478000ull, 479000ull, 496000ull, 497000ull, + 874000ull, 875000ull, 898000ull, 899000ull, + 500000ull, 501000ull, 502000ull, 503000ull, 504000ull, 505000ull, + 506000ull, 507000ull, 508000ull, 509000ull, 580000ull, 581000ull, + 904000ull, 905000ull, 984000ull, 985000ull, + 510000ull, 511000ull, 512000ull, 513000ull, 514000ull, 515000ull, + 516000ull, 517000ull, 518000ull, 519000ull, 590000ull, 591000ull, + 914000ull, 915000ull, 994000ull, 995000ull, + 520000ull, 521000ull, 522000ull, 523000ull, 524000ull, 525000ull, + 526000ull, 527000ull, 528000ull, 529000ull, 582000ull, 583000ull, + 924000ull, 925000ull, 948000ull, 949000ull, + 530000ull, 531000ull, 532000ull, 533000ull, 534000ull, 535000ull, + 536000ull, 537000ull, 538000ull, 539000ull, 592000ull, 593000ull, + 934000ull, 935000ull, 958000ull, 959000ull, + 540000ull, 541000ull, 542000ull, 543000ull, 544000ull, 545000ull, + 546000ull, 547000ull, 548000ull, 549000ull, 584000ull, 585000ull, + 944000ull, 945000ull, 588000ull, 589000ull, + 550000ull, 551000ull, 552000ull, 553000ull, 554000ull, 555000ull, + 556000ull, 557000ull, 558000ull, 559000ull, 594000ull, 595000ull, + 954000ull, 955000ull, 598000ull, 599000ull, + 560000ull, 561000ull, 562000ull, 563000ull, 564000ull, 565000ull, + 566000ull, 567000ull, 568000ull, 569000ull, 586000ull, 587000ull, + 964000ull, 965000ull, 988000ull, 989000ull, + 570000ull, 571000ull, 572000ull, 573000ull, 574000ull, 575000ull, + 576000ull, 577000ull, 578000ull, 579000ull, 596000ull, 597000ull, + 974000ull, 975000ull, 998000ull, 999000ull, + 600000ull, 601000ull, 602000ull, 603000ull, 604000ull, 605000ull, + 606000ull, 607000ull, 608000ull, 609000ull, 680000ull, 681000ull, + 806000ull, 807000ull, 886000ull, 887000ull, + 610000ull, 611000ull, 612000ull, 613000ull, 614000ull, 615000ull, + 616000ull, 617000ull, 618000ull, 619000ull, 690000ull, 691000ull, + 816000ull, 817000ull, 896000ull, 897000ull, + 620000ull, 621000ull, 622000ull, 623000ull, 624000ull, 625000ull, + 626000ull, 627000ull, 628000ull, 629000ull, 682000ull, 683000ull, + 826000ull, 827000ull, 868000ull, 869000ull, + 630000ull, 631000ull, 632000ull, 633000ull, 634000ull, 635000ull, + 636000ull, 637000ull, 638000ull, 639000ull, 692000ull, 693000ull, + 836000ull, 837000ull, 878000ull, 879000ull, + 640000ull, 641000ull, 642000ull, 643000ull, 644000ull, 645000ull, + 646000ull, 647000ull, 648000ull, 649000ull, 684000ull, 685000ull, + 846000ull, 847000ull, 688000ull, 689000ull, + 650000ull, 651000ull, 652000ull, 653000ull, 654000ull, 655000ull, + 656000ull, 657000ull, 658000ull, 659000ull, 694000ull, 695000ull, + 856000ull, 857000ull, 698000ull, 699000ull, + 660000ull, 661000ull, 662000ull, 663000ull, 664000ull, 665000ull, + 666000ull, 667000ull, 668000ull, 669000ull, 686000ull, 687000ull, + 866000ull, 867000ull, 888000ull, 889000ull, + 670000ull, 671000ull, 672000ull, 673000ull, 674000ull, 675000ull, + 676000ull, 677000ull, 678000ull, 679000ull, 696000ull, 697000ull, + 876000ull, 877000ull, 898000ull, 899000ull, + 700000ull, 701000ull, 702000ull, 703000ull, 704000ull, 705000ull, + 706000ull, 707000ull, 708000ull, 709000ull, 780000ull, 781000ull, + 906000ull, 907000ull, 986000ull, 987000ull, + 710000ull, 711000ull, 712000ull, 713000ull, 714000ull, 715000ull, + 716000ull, 717000ull, 718000ull, 719000ull, 790000ull, 791000ull, + 916000ull, 917000ull, 996000ull, 997000ull, + 720000ull, 721000ull, 722000ull, 723000ull, 724000ull, 725000ull, + 726000ull, 727000ull, 728000ull, 729000ull, 782000ull, 783000ull, + 926000ull, 927000ull, 968000ull, 969000ull, + 730000ull, 731000ull, 732000ull, 733000ull, 734000ull, 735000ull, + 736000ull, 737000ull, 738000ull, 739000ull, 792000ull, 793000ull, + 936000ull, 937000ull, 978000ull, 979000ull, + 740000ull, 741000ull, 742000ull, 743000ull, 744000ull, 745000ull, + 746000ull, 747000ull, 748000ull, 749000ull, 784000ull, 785000ull, + 946000ull, 947000ull, 788000ull, 789000ull, + 750000ull, 751000ull, 752000ull, 753000ull, 754000ull, 755000ull, + 756000ull, 757000ull, 758000ull, 759000ull, 794000ull, 795000ull, + 956000ull, 957000ull, 798000ull, 799000ull, + 760000ull, 761000ull, 762000ull, 763000ull, 764000ull, 765000ull, + 766000ull, 767000ull, 768000ull, 769000ull, 786000ull, 787000ull, + 966000ull, 967000ull, 988000ull, 989000ull, + 770000ull, 771000ull, 772000ull, 773000ull, 774000ull, 775000ull, + 776000ull, 777000ull, 778000ull, 779000ull, 796000ull, 797000ull, + 976000ull, 977000ull, 998000ull, 999000ull +}; + +const UINT64 d2b3[] = + { 0000000ull, 1000000ull, 2000000ull, 3000000ull, 4000000ull, + 5000000ull, 6000000ull, 7000000ull, 8000000ull, 9000000ull, + 80000000ull, + 81000000ull, 800000000ull, 801000000ull, 880000000ull, 881000000ull, + 10000000ull, 11000000ull, 12000000ull, 13000000ull, 14000000ull, + 15000000ull, 16000000ull, 17000000ull, 18000000ull, 19000000ull, + 90000000ull, 91000000ull, 810000000ull, 811000000ull, 890000000ull, + 891000000ull, + 20000000ull, 21000000ull, 22000000ull, 23000000ull, 24000000ull, + 25000000ull, 26000000ull, 27000000ull, 28000000ull, 29000000ull, + 82000000ull, 83000000ull, 820000000ull, 821000000ull, 808000000ull, + 809000000ull, + 30000000ull, 31000000ull, 32000000ull, 33000000ull, 34000000ull, + 35000000ull, 36000000ull, 37000000ull, 38000000ull, 39000000ull, + 92000000ull, 93000000ull, 830000000ull, 831000000ull, 818000000ull, + 819000000ull, + 40000000ull, 41000000ull, 42000000ull, 43000000ull, 44000000ull, + 45000000ull, 46000000ull, 47000000ull, 48000000ull, 49000000ull, + 84000000ull, 85000000ull, 840000000ull, 841000000ull, 88000000ull, + 89000000ull, + 50000000ull, 51000000ull, 52000000ull, 53000000ull, 54000000ull, + 55000000ull, 56000000ull, 57000000ull, 58000000ull, 59000000ull, + 94000000ull, 95000000ull, 850000000ull, 851000000ull, 98000000ull, + 99000000ull, + 60000000ull, 61000000ull, 62000000ull, 63000000ull, 64000000ull, + 65000000ull, 66000000ull, 67000000ull, 68000000ull, 69000000ull, + 86000000ull, 87000000ull, 860000000ull, 861000000ull, 888000000ull, + 889000000ull, + 70000000ull, 71000000ull, 72000000ull, 73000000ull, 74000000ull, + 75000000ull, 76000000ull, 77000000ull, 78000000ull, 79000000ull, + 96000000ull, 97000000ull, 870000000ull, 871000000ull, 898000000ull, + 899000000ull, + 100000000ull, 101000000ull, 102000000ull, 103000000ull, 104000000ull, + 105000000ull, 106000000ull, 107000000ull, 108000000ull, + 109000000ull, 180000000ull, 181000000ull, 900000000ull, + 901000000ull, 980000000ull, 981000000ull, + 110000000ull, 111000000ull, 112000000ull, 113000000ull, 114000000ull, + 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963000000ull, 988000000ull, 989000000ull, + 370000000ull, 371000000ull, 372000000ull, 373000000ull, 374000000ull, + 375000000ull, 376000000ull, 377000000ull, 378000000ull, + 379000000ull, 396000000ull, 397000000ull, 972000000ull, + 973000000ull, 998000000ull, 999000000ull, + 400000000ull, 401000000ull, 402000000ull, 403000000ull, 404000000ull, + 405000000ull, 406000000ull, 407000000ull, 408000000ull, + 409000000ull, 480000000ull, 481000000ull, 804000000ull, + 805000000ull, 884000000ull, 885000000ull, + 410000000ull, 411000000ull, 412000000ull, 413000000ull, 414000000ull, + 415000000ull, 416000000ull, 417000000ull, 418000000ull, + 419000000ull, 490000000ull, 491000000ull, 814000000ull, + 815000000ull, 894000000ull, 895000000ull, + 420000000ull, 421000000ull, 422000000ull, 423000000ull, 424000000ull, + 425000000ull, 426000000ull, 427000000ull, 428000000ull, + 429000000ull, 482000000ull, 483000000ull, 824000000ull, + 825000000ull, 848000000ull, 849000000ull, + 430000000ull, 431000000ull, 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477000000ull, 478000000ull, + 479000000ull, 496000000ull, 497000000ull, 874000000ull, + 875000000ull, 898000000ull, 899000000ull, + 500000000ull, 501000000ull, 502000000ull, 503000000ull, 504000000ull, + 505000000ull, 506000000ull, 507000000ull, 508000000ull, + 509000000ull, 580000000ull, 581000000ull, 904000000ull, + 905000000ull, 984000000ull, 985000000ull, + 510000000ull, 511000000ull, 512000000ull, 513000000ull, 514000000ull, + 515000000ull, 516000000ull, 517000000ull, 518000000ull, + 519000000ull, 590000000ull, 591000000ull, 914000000ull, + 915000000ull, 994000000ull, 995000000ull, + 520000000ull, 521000000ull, 522000000ull, 523000000ull, 524000000ull, + 525000000ull, 526000000ull, 527000000ull, 528000000ull, + 529000000ull, 582000000ull, 583000000ull, 924000000ull, + 925000000ull, 948000000ull, 949000000ull, + 530000000ull, 531000000ull, 532000000ull, 533000000ull, 534000000ull, + 535000000ull, 536000000ull, 537000000ull, 538000000ull, + 539000000ull, 592000000ull, 593000000ull, 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600000000ull, 601000000ull, 602000000ull, 603000000ull, 604000000ull, + 605000000ull, 606000000ull, 607000000ull, 608000000ull, + 609000000ull, 680000000ull, 681000000ull, 806000000ull, + 807000000ull, 886000000ull, 887000000ull, + 610000000ull, 611000000ull, 612000000ull, 613000000ull, 614000000ull, + 615000000ull, 616000000ull, 617000000ull, 618000000ull, + 619000000ull, 690000000ull, 691000000ull, 816000000ull, + 817000000ull, 896000000ull, 897000000ull, + 620000000ull, 621000000ull, 622000000ull, 623000000ull, 624000000ull, + 625000000ull, 626000000ull, 627000000ull, 628000000ull, + 629000000ull, 682000000ull, 683000000ull, 826000000ull, + 827000000ull, 868000000ull, 869000000ull, + 630000000ull, 631000000ull, 632000000ull, 633000000ull, 634000000ull, + 635000000ull, 636000000ull, 637000000ull, 638000000ull, + 639000000ull, 692000000ull, 693000000ull, 836000000ull, + 837000000ull, 878000000ull, 879000000ull, + 640000000ull, 641000000ull, 642000000ull, 643000000ull, 644000000ull, + 645000000ull, 646000000ull, 647000000ull, 648000000ull, + 649000000ull, 684000000ull, 685000000ull, 846000000ull, + 847000000ull, 688000000ull, 689000000ull, + 650000000ull, 651000000ull, 652000000ull, 653000000ull, 654000000ull, + 655000000ull, 656000000ull, 657000000ull, 658000000ull, + 659000000ull, 694000000ull, 695000000ull, 856000000ull, + 857000000ull, 698000000ull, 699000000ull, + 660000000ull, 661000000ull, 662000000ull, 663000000ull, 664000000ull, + 665000000ull, 666000000ull, 667000000ull, 668000000ull, + 669000000ull, 686000000ull, 687000000ull, 866000000ull, + 867000000ull, 888000000ull, 889000000ull, + 670000000ull, 671000000ull, 672000000ull, 673000000ull, 674000000ull, + 675000000ull, 676000000ull, 677000000ull, 678000000ull, + 679000000ull, 696000000ull, 697000000ull, 876000000ull, + 877000000ull, 898000000ull, 899000000ull, + 700000000ull, 701000000ull, 702000000ull, 703000000ull, 704000000ull, + 705000000ull, 706000000ull, 707000000ull, 708000000ull, + 709000000ull, 780000000ull, 781000000ull, 906000000ull, + 907000000ull, 986000000ull, 987000000ull, + 710000000ull, 711000000ull, 712000000ull, 713000000ull, 714000000ull, + 715000000ull, 716000000ull, 717000000ull, 718000000ull, + 719000000ull, 790000000ull, 791000000ull, 916000000ull, + 917000000ull, 996000000ull, 997000000ull, + 720000000ull, 721000000ull, 722000000ull, 723000000ull, 724000000ull, + 725000000ull, 726000000ull, 727000000ull, 728000000ull, + 729000000ull, 782000000ull, 783000000ull, 926000000ull, + 927000000ull, 968000000ull, 969000000ull, + 730000000ull, 731000000ull, 732000000ull, 733000000ull, 734000000ull, + 735000000ull, 736000000ull, 737000000ull, 738000000ull, + 739000000ull, 792000000ull, 793000000ull, 936000000ull, + 937000000ull, 978000000ull, 979000000ull, + 740000000ull, 741000000ull, 742000000ull, 743000000ull, 744000000ull, + 745000000ull, 746000000ull, 747000000ull, 748000000ull, + 749000000ull, 784000000ull, 785000000ull, 946000000ull, + 947000000ull, 788000000ull, 789000000ull, + 750000000ull, 751000000ull, 752000000ull, 753000000ull, 754000000ull, + 755000000ull, 756000000ull, 757000000ull, 758000000ull, + 759000000ull, 794000000ull, 795000000ull, 956000000ull, + 957000000ull, 798000000ull, 799000000ull, + 760000000ull, 761000000ull, 762000000ull, 763000000ull, 764000000ull, + 765000000ull, 766000000ull, 767000000ull, 768000000ull, + 769000000ull, 786000000ull, 787000000ull, 966000000ull, + 967000000ull, 988000000ull, 989000000ull, + 770000000ull, 771000000ull, 772000000ull, 773000000ull, 774000000ull, + 775000000ull, 776000000ull, 777000000ull, 778000000ull, + 779000000ull, 796000000ull, 797000000ull, 976000000ull, + 977000000ull, 998000000ull, 999000000ull +}; + +const UINT64 d2b4[] = + { 0000000000ull, 1000000000ull, 2000000000ull, 3000000000ull, + 4000000000ull, 5000000000ull, 6000000000ull, 7000000000ull, + 8000000000ull, + 9000000000ull, 80000000000ull, 81000000000ull, 800000000000ull, + 801000000000ull, + 880000000000ull, 881000000000ull, + 10000000000ull, 11000000000ull, 12000000000ull, 13000000000ull, + 14000000000ull, 15000000000ull, 16000000000ull, 17000000000ull, + 18000000000ull, 19000000000ull, 90000000000ull, 91000000000ull, + 810000000000ull, 811000000000ull, 890000000000ull, 891000000000ull, + 20000000000ull, 21000000000ull, 22000000000ull, 23000000000ull, + 24000000000ull, 25000000000ull, 26000000000ull, 27000000000ull, + 28000000000ull, 29000000000ull, 82000000000ull, 83000000000ull, + 820000000000ull, 821000000000ull, 808000000000ull, 809000000000ull, + 30000000000ull, 31000000000ull, 32000000000ull, 33000000000ull, + 34000000000ull, 35000000000ull, 36000000000ull, 37000000000ull, + 38000000000ull, 39000000000ull, 92000000000ull, 93000000000ull, + 830000000000ull, 831000000000ull, 818000000000ull, 819000000000ull, + 40000000000ull, 41000000000ull, 42000000000ull, 43000000000ull, + 44000000000ull, 45000000000ull, 46000000000ull, 47000000000ull, + 48000000000ull, 49000000000ull, 84000000000ull, 85000000000ull, + 840000000000ull, 841000000000ull, 88000000000ull, 89000000000ull, + 50000000000ull, 51000000000ull, 52000000000ull, 53000000000ull, + 54000000000ull, 55000000000ull, 56000000000ull, 57000000000ull, + 58000000000ull, 59000000000ull, 94000000000ull, 95000000000ull, + 850000000000ull, 851000000000ull, 98000000000ull, 99000000000ull, + 60000000000ull, 61000000000ull, 62000000000ull, 63000000000ull, + 64000000000ull, 65000000000ull, 66000000000ull, 67000000000ull, + 68000000000ull, 69000000000ull, 86000000000ull, 87000000000ull, + 860000000000ull, 861000000000ull, 888000000000ull, 889000000000ull, + 70000000000ull, 71000000000ull, 72000000000ull, 73000000000ull, + 74000000000ull, 75000000000ull, 76000000000ull, 77000000000ull, + 78000000000ull, 79000000000ull, 96000000000ull, 97000000000ull, + 870000000000ull, 871000000000ull, 898000000000ull, 899000000000ull, + 100000000000ull, 101000000000ull, 102000000000ull, 103000000000ull, + 104000000000ull, 105000000000ull, 106000000000ull, 107000000000ull, + 108000000000ull, 109000000000ull, 180000000000ull, 181000000000ull, + 900000000000ull, 901000000000ull, 980000000000ull, 981000000000ull, + 110000000000ull, 111000000000ull, 112000000000ull, 113000000000ull, + 114000000000ull, 115000000000ull, 116000000000ull, 117000000000ull, + 118000000000ull, 119000000000ull, 190000000000ull, 191000000000ull, + 910000000000ull, 911000000000ull, 990000000000ull, 991000000000ull, + 120000000000ull, 121000000000ull, 122000000000ull, 123000000000ull, + 124000000000ull, 125000000000ull, 126000000000ull, 127000000000ull, + 128000000000ull, 129000000000ull, 182000000000ull, 183000000000ull, + 920000000000ull, 921000000000ull, 908000000000ull, 909000000000ull, + 130000000000ull, 131000000000ull, 132000000000ull, 133000000000ull, + 134000000000ull, 135000000000ull, 136000000000ull, 137000000000ull, + 138000000000ull, 139000000000ull, 192000000000ull, 193000000000ull, + 930000000000ull, 931000000000ull, 918000000000ull, 919000000000ull, + 140000000000ull, 141000000000ull, 142000000000ull, 143000000000ull, + 144000000000ull, 145000000000ull, 146000000000ull, 147000000000ull, + 148000000000ull, 149000000000ull, 184000000000ull, 185000000000ull, + 940000000000ull, 941000000000ull, 188000000000ull, 189000000000ull, + 150000000000ull, 151000000000ull, 152000000000ull, 153000000000ull, + 154000000000ull, 155000000000ull, 156000000000ull, 157000000000ull, + 158000000000ull, 159000000000ull, 194000000000ull, 195000000000ull, + 950000000000ull, 951000000000ull, 198000000000ull, 199000000000ull, + 160000000000ull, 161000000000ull, 162000000000ull, 163000000000ull, + 164000000000ull, 165000000000ull, 166000000000ull, 167000000000ull, + 168000000000ull, 169000000000ull, 186000000000ull, 187000000000ull, + 960000000000ull, 961000000000ull, 988000000000ull, 989000000000ull, + 170000000000ull, 171000000000ull, 172000000000ull, 173000000000ull, + 174000000000ull, 175000000000ull, 176000000000ull, 177000000000ull, + 178000000000ull, 179000000000ull, 196000000000ull, 197000000000ull, + 970000000000ull, 971000000000ull, 998000000000ull, 999000000000ull, + 200000000000ull, 201000000000ull, 202000000000ull, 203000000000ull, + 204000000000ull, 205000000000ull, 206000000000ull, 207000000000ull, + 208000000000ull, 209000000000ull, 280000000000ull, 281000000000ull, + 802000000000ull, 803000000000ull, 882000000000ull, 883000000000ull, + 210000000000ull, 211000000000ull, 212000000000ull, 213000000000ull, + 214000000000ull, 215000000000ull, 216000000000ull, 217000000000ull, + 218000000000ull, 219000000000ull, 290000000000ull, 291000000000ull, + 812000000000ull, 813000000000ull, 892000000000ull, 893000000000ull, + 220000000000ull, 221000000000ull, 222000000000ull, 223000000000ull, + 224000000000ull, 225000000000ull, 226000000000ull, 227000000000ull, + 228000000000ull, 229000000000ull, 282000000000ull, 283000000000ull, + 822000000000ull, 823000000000ull, 828000000000ull, 829000000000ull, + 230000000000ull, 231000000000ull, 232000000000ull, 233000000000ull, + 234000000000ull, 235000000000ull, 236000000000ull, 237000000000ull, + 238000000000ull, 239000000000ull, 292000000000ull, 293000000000ull, + 832000000000ull, 833000000000ull, 838000000000ull, 839000000000ull, + 240000000000ull, 241000000000ull, 242000000000ull, 243000000000ull, + 244000000000ull, 245000000000ull, 246000000000ull, 247000000000ull, + 248000000000ull, 249000000000ull, 284000000000ull, 285000000000ull, + 842000000000ull, 843000000000ull, 288000000000ull, 289000000000ull, + 250000000000ull, 251000000000ull, 252000000000ull, 253000000000ull, + 254000000000ull, 255000000000ull, 256000000000ull, 257000000000ull, + 258000000000ull, 259000000000ull, 294000000000ull, 295000000000ull, + 852000000000ull, 853000000000ull, 298000000000ull, 299000000000ull, + 260000000000ull, 261000000000ull, 262000000000ull, 263000000000ull, + 264000000000ull, 265000000000ull, 266000000000ull, 267000000000ull, + 268000000000ull, 269000000000ull, 286000000000ull, 287000000000ull, + 862000000000ull, 863000000000ull, 888000000000ull, 889000000000ull, + 270000000000ull, 271000000000ull, 272000000000ull, 273000000000ull, + 274000000000ull, 275000000000ull, 276000000000ull, 277000000000ull, + 278000000000ull, 279000000000ull, 296000000000ull, 297000000000ull, + 872000000000ull, 873000000000ull, 898000000000ull, 899000000000ull, + 300000000000ull, 301000000000ull, 302000000000ull, 303000000000ull, + 304000000000ull, 305000000000ull, 306000000000ull, 307000000000ull, + 308000000000ull, 309000000000ull, 380000000000ull, 381000000000ull, + 902000000000ull, 903000000000ull, 982000000000ull, 983000000000ull, + 310000000000ull, 311000000000ull, 312000000000ull, 313000000000ull, + 314000000000ull, 315000000000ull, 316000000000ull, 317000000000ull, + 318000000000ull, 319000000000ull, 390000000000ull, 391000000000ull, + 912000000000ull, 913000000000ull, 992000000000ull, 993000000000ull, + 320000000000ull, 321000000000ull, 322000000000ull, 323000000000ull, + 324000000000ull, 325000000000ull, 326000000000ull, 327000000000ull, + 328000000000ull, 329000000000ull, 382000000000ull, 383000000000ull, + 922000000000ull, 923000000000ull, 928000000000ull, 929000000000ull, + 330000000000ull, 331000000000ull, 332000000000ull, 333000000000ull, + 334000000000ull, 335000000000ull, 336000000000ull, 337000000000ull, + 338000000000ull, 339000000000ull, 392000000000ull, 393000000000ull, + 932000000000ull, 933000000000ull, 938000000000ull, 939000000000ull, + 340000000000ull, 341000000000ull, 342000000000ull, 343000000000ull, + 344000000000ull, 345000000000ull, 346000000000ull, 347000000000ull, + 348000000000ull, 349000000000ull, 384000000000ull, 385000000000ull, + 942000000000ull, 943000000000ull, 388000000000ull, 389000000000ull, + 350000000000ull, 351000000000ull, 352000000000ull, 353000000000ull, + 354000000000ull, 355000000000ull, 356000000000ull, 357000000000ull, + 358000000000ull, 359000000000ull, 394000000000ull, 395000000000ull, + 952000000000ull, 953000000000ull, 398000000000ull, 399000000000ull, + 360000000000ull, 361000000000ull, 362000000000ull, 363000000000ull, + 364000000000ull, 365000000000ull, 366000000000ull, 367000000000ull, + 368000000000ull, 369000000000ull, 386000000000ull, 387000000000ull, + 962000000000ull, 963000000000ull, 988000000000ull, 989000000000ull, + 370000000000ull, 371000000000ull, 372000000000ull, 373000000000ull, + 374000000000ull, 375000000000ull, 376000000000ull, 377000000000ull, + 378000000000ull, 379000000000ull, 396000000000ull, 397000000000ull, + 972000000000ull, 973000000000ull, 998000000000ull, 999000000000ull, + 400000000000ull, 401000000000ull, 402000000000ull, 403000000000ull, + 404000000000ull, 405000000000ull, 406000000000ull, 407000000000ull, + 408000000000ull, 409000000000ull, 480000000000ull, 481000000000ull, + 804000000000ull, 805000000000ull, 884000000000ull, 885000000000ull, + 410000000000ull, 411000000000ull, 412000000000ull, 413000000000ull, + 414000000000ull, 415000000000ull, 416000000000ull, 417000000000ull, + 418000000000ull, 419000000000ull, 490000000000ull, 491000000000ull, + 814000000000ull, 815000000000ull, 894000000000ull, 895000000000ull, + 420000000000ull, 421000000000ull, 422000000000ull, 423000000000ull, + 424000000000ull, 425000000000ull, 426000000000ull, 427000000000ull, + 428000000000ull, 429000000000ull, 482000000000ull, 483000000000ull, + 824000000000ull, 825000000000ull, 848000000000ull, 849000000000ull, + 430000000000ull, 431000000000ull, 432000000000ull, 433000000000ull, + 434000000000ull, 435000000000ull, 436000000000ull, 437000000000ull, + 438000000000ull, 439000000000ull, 492000000000ull, 493000000000ull, + 834000000000ull, 835000000000ull, 858000000000ull, 859000000000ull, + 440000000000ull, 441000000000ull, 442000000000ull, 443000000000ull, + 444000000000ull, 445000000000ull, 446000000000ull, 447000000000ull, + 448000000000ull, 449000000000ull, 484000000000ull, 485000000000ull, + 844000000000ull, 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686000000000ull, 687000000000ull, + 866000000000ull, 867000000000ull, 888000000000ull, 889000000000ull, + 670000000000ull, 671000000000ull, 672000000000ull, 673000000000ull, + 674000000000ull, 675000000000ull, 676000000000ull, 677000000000ull, + 678000000000ull, 679000000000ull, 696000000000ull, 697000000000ull, + 876000000000ull, 877000000000ull, 898000000000ull, 899000000000ull, + 700000000000ull, 701000000000ull, 702000000000ull, 703000000000ull, + 704000000000ull, 705000000000ull, 706000000000ull, 707000000000ull, + 708000000000ull, 709000000000ull, 780000000000ull, 781000000000ull, + 906000000000ull, 907000000000ull, 986000000000ull, 987000000000ull, + 710000000000ull, 711000000000ull, 712000000000ull, 713000000000ull, + 714000000000ull, 715000000000ull, 716000000000ull, 717000000000ull, + 718000000000ull, 719000000000ull, 790000000000ull, 791000000000ull, + 916000000000ull, 917000000000ull, 996000000000ull, 997000000000ull, + 720000000000ull, 721000000000ull, 722000000000ull, 723000000000ull, + 724000000000ull, 725000000000ull, 726000000000ull, 727000000000ull, + 728000000000ull, 729000000000ull, 782000000000ull, 783000000000ull, + 926000000000ull, 927000000000ull, 968000000000ull, 969000000000ull, + 730000000000ull, 731000000000ull, 732000000000ull, 733000000000ull, + 734000000000ull, 735000000000ull, 736000000000ull, 737000000000ull, + 738000000000ull, 739000000000ull, 792000000000ull, 793000000000ull, + 936000000000ull, 937000000000ull, 978000000000ull, 979000000000ull, + 740000000000ull, 741000000000ull, 742000000000ull, 743000000000ull, + 744000000000ull, 745000000000ull, 746000000000ull, 747000000000ull, + 748000000000ull, 749000000000ull, 784000000000ull, 785000000000ull, + 946000000000ull, 947000000000ull, 788000000000ull, 789000000000ull, + 750000000000ull, 751000000000ull, 752000000000ull, 753000000000ull, + 754000000000ull, 755000000000ull, 756000000000ull, 757000000000ull, + 758000000000ull, 759000000000ull, 794000000000ull, 795000000000ull, + 956000000000ull, 957000000000ull, 798000000000ull, 799000000000ull, + 760000000000ull, 761000000000ull, 762000000000ull, 763000000000ull, + 764000000000ull, 765000000000ull, 766000000000ull, 767000000000ull, + 768000000000ull, 769000000000ull, 786000000000ull, 787000000000ull, + 966000000000ull, 967000000000ull, 988000000000ull, 989000000000ull, + 770000000000ull, 771000000000ull, 772000000000ull, 773000000000ull, + 774000000000ull, 775000000000ull, 776000000000ull, 777000000000ull, + 778000000000ull, 779000000000ull, 796000000000ull, 797000000000ull, + 976000000000ull, 977000000000ull, 998000000000ull, 999000000000ull +}; + +const UINT64 d2b5[] = { 0000000000000ull, 1000000000000ull, 2000000000000ull, + 3000000000000ull, 4000000000000ull, 5000000000000ull, + 6000000000000ull, + 7000000000000ull, 8000000000000ull, 9000000000000ull, + 80000000000000ull, + 81000000000000ull, 800000000000000ull, 801000000000000ull, + 880000000000000ull, + 881000000000000ull, + 10000000000000ull, 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265000000000000ull, + 266000000000000ull, 267000000000000ull, 268000000000000ull, + 269000000000000ull, 286000000000000ull, 287000000000000ull, + 862000000000000ull, 863000000000000ull, 888000000000000ull, + 889000000000000ull, + 270000000000000ull, 271000000000000ull, 272000000000000ull, + 273000000000000ull, 274000000000000ull, 275000000000000ull, + 276000000000000ull, 277000000000000ull, 278000000000000ull, + 279000000000000ull, 296000000000000ull, 297000000000000ull, + 872000000000000ull, 873000000000000ull, 898000000000000ull, + 899000000000000ull, + 300000000000000ull, 301000000000000ull, 302000000000000ull, + 303000000000000ull, 304000000000000ull, 305000000000000ull, + 306000000000000ull, 307000000000000ull, 308000000000000ull, + 309000000000000ull, 380000000000000ull, 381000000000000ull, + 902000000000000ull, 903000000000000ull, 982000000000000ull, + 983000000000000ull, + 310000000000000ull, 311000000000000ull, 312000000000000ull, + 313000000000000ull, 314000000000000ull, 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345000000000000ull, + 346000000000000ull, 347000000000000ull, 348000000000000ull, + 349000000000000ull, 384000000000000ull, 385000000000000ull, + 942000000000000ull, 943000000000000ull, 388000000000000ull, + 389000000000000ull, + 350000000000000ull, 351000000000000ull, 352000000000000ull, + 353000000000000ull, 354000000000000ull, 355000000000000ull, + 356000000000000ull, 357000000000000ull, 358000000000000ull, + 359000000000000ull, 394000000000000ull, 395000000000000ull, + 952000000000000ull, 953000000000000ull, 398000000000000ull, + 399000000000000ull, + 360000000000000ull, 361000000000000ull, 362000000000000ull, + 363000000000000ull, 364000000000000ull, 365000000000000ull, + 366000000000000ull, 367000000000000ull, 368000000000000ull, + 369000000000000ull, 386000000000000ull, 387000000000000ull, + 962000000000000ull, 963000000000000ull, 988000000000000ull, + 989000000000000ull, + 370000000000000ull, 371000000000000ull, 372000000000000ull, + 373000000000000ull, 374000000000000ull, 375000000000000ull, + 376000000000000ull, 377000000000000ull, 378000000000000ull, + 379000000000000ull, 396000000000000ull, 397000000000000ull, + 972000000000000ull, 973000000000000ull, 998000000000000ull, + 999000000000000ull, + 400000000000000ull, 401000000000000ull, 402000000000000ull, + 403000000000000ull, 404000000000000ull, 405000000000000ull, + 406000000000000ull, 407000000000000ull, 408000000000000ull, + 409000000000000ull, 480000000000000ull, 481000000000000ull, + 804000000000000ull, 805000000000000ull, 884000000000000ull, + 885000000000000ull, + 410000000000000ull, 411000000000000ull, 412000000000000ull, + 413000000000000ull, 414000000000000ull, 415000000000000ull, + 416000000000000ull, 417000000000000ull, 418000000000000ull, + 419000000000000ull, 490000000000000ull, 491000000000000ull, + 814000000000000ull, 815000000000000ull, 894000000000000ull, + 895000000000000ull, + 420000000000000ull, 421000000000000ull, 422000000000000ull, + 423000000000000ull, 424000000000000ull, 425000000000000ull, + 426000000000000ull, 427000000000000ull, 428000000000000ull, + 429000000000000ull, 482000000000000ull, 483000000000000ull, + 824000000000000ull, 825000000000000ull, 848000000000000ull, + 849000000000000ull, + 430000000000000ull, 431000000000000ull, 432000000000000ull, + 433000000000000ull, 434000000000000ull, 435000000000000ull, + 436000000000000ull, 437000000000000ull, 438000000000000ull, + 439000000000000ull, 492000000000000ull, 493000000000000ull, + 834000000000000ull, 835000000000000ull, 858000000000000ull, + 859000000000000ull, + 440000000000000ull, 441000000000000ull, 442000000000000ull, + 443000000000000ull, 444000000000000ull, 445000000000000ull, + 446000000000000ull, 447000000000000ull, 448000000000000ull, + 449000000000000ull, 484000000000000ull, 485000000000000ull, + 844000000000000ull, 845000000000000ull, 488000000000000ull, + 489000000000000ull, + 450000000000000ull, 451000000000000ull, 452000000000000ull, + 453000000000000ull, 454000000000000ull, 455000000000000ull, + 456000000000000ull, 457000000000000ull, 458000000000000ull, + 459000000000000ull, 494000000000000ull, 495000000000000ull, + 854000000000000ull, 855000000000000ull, 498000000000000ull, + 499000000000000ull, + 460000000000000ull, 461000000000000ull, 462000000000000ull, + 463000000000000ull, 464000000000000ull, 465000000000000ull, + 466000000000000ull, 467000000000000ull, 468000000000000ull, + 469000000000000ull, 486000000000000ull, 487000000000000ull, + 864000000000000ull, 865000000000000ull, 888000000000000ull, + 889000000000000ull, + 470000000000000ull, 471000000000000ull, 472000000000000ull, + 473000000000000ull, 474000000000000ull, 475000000000000ull, + 476000000000000ull, 477000000000000ull, 478000000000000ull, + 479000000000000ull, 496000000000000ull, 497000000000000ull, + 874000000000000ull, 875000000000000ull, 898000000000000ull, + 899000000000000ull, + 500000000000000ull, 501000000000000ull, 502000000000000ull, + 503000000000000ull, 504000000000000ull, 505000000000000ull, + 506000000000000ull, 507000000000000ull, 508000000000000ull, + 509000000000000ull, 580000000000000ull, 581000000000000ull, + 904000000000000ull, 905000000000000ull, 984000000000000ull, + 985000000000000ull, + 510000000000000ull, 511000000000000ull, 512000000000000ull, + 513000000000000ull, 514000000000000ull, 515000000000000ull, + 516000000000000ull, 517000000000000ull, 518000000000000ull, + 519000000000000ull, 590000000000000ull, 591000000000000ull, + 914000000000000ull, 915000000000000ull, 994000000000000ull, + 995000000000000ull, + 520000000000000ull, 521000000000000ull, 522000000000000ull, + 523000000000000ull, 524000000000000ull, 525000000000000ull, + 526000000000000ull, 527000000000000ull, 528000000000000ull, + 529000000000000ull, 582000000000000ull, 583000000000000ull, + 924000000000000ull, 925000000000000ull, 948000000000000ull, + 949000000000000ull, + 530000000000000ull, 531000000000000ull, 532000000000000ull, + 533000000000000ull, 534000000000000ull, 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565000000000000ull, + 566000000000000ull, 567000000000000ull, 568000000000000ull, + 569000000000000ull, 586000000000000ull, 587000000000000ull, + 964000000000000ull, 965000000000000ull, 988000000000000ull, + 989000000000000ull, + 570000000000000ull, 571000000000000ull, 572000000000000ull, + 573000000000000ull, 574000000000000ull, 575000000000000ull, + 576000000000000ull, 577000000000000ull, 578000000000000ull, + 579000000000000ull, 596000000000000ull, 597000000000000ull, + 974000000000000ull, 975000000000000ull, 998000000000000ull, + 999000000000000ull, + 600000000000000ull, 601000000000000ull, 602000000000000ull, + 603000000000000ull, 604000000000000ull, 605000000000000ull, + 606000000000000ull, 607000000000000ull, 608000000000000ull, + 609000000000000ull, 680000000000000ull, 681000000000000ull, + 806000000000000ull, 807000000000000ull, 886000000000000ull, + 887000000000000ull, + 610000000000000ull, 611000000000000ull, 612000000000000ull, + 613000000000000ull, 614000000000000ull, 615000000000000ull, + 616000000000000ull, 617000000000000ull, 618000000000000ull, + 619000000000000ull, 690000000000000ull, 691000000000000ull, + 816000000000000ull, 817000000000000ull, 896000000000000ull, + 897000000000000ull, + 620000000000000ull, 621000000000000ull, 622000000000000ull, + 623000000000000ull, 624000000000000ull, 625000000000000ull, + 626000000000000ull, 627000000000000ull, 628000000000000ull, + 629000000000000ull, 682000000000000ull, 683000000000000ull, + 826000000000000ull, 827000000000000ull, 868000000000000ull, + 869000000000000ull, + 630000000000000ull, 631000000000000ull, 632000000000000ull, + 633000000000000ull, 634000000000000ull, 635000000000000ull, + 636000000000000ull, 637000000000000ull, 638000000000000ull, + 639000000000000ull, 692000000000000ull, 693000000000000ull, + 836000000000000ull, 837000000000000ull, 878000000000000ull, + 879000000000000ull, + 640000000000000ull, 641000000000000ull, 642000000000000ull, + 643000000000000ull, 644000000000000ull, 645000000000000ull, + 646000000000000ull, 647000000000000ull, 648000000000000ull, + 649000000000000ull, 684000000000000ull, 685000000000000ull, + 846000000000000ull, 847000000000000ull, 688000000000000ull, + 689000000000000ull, + 650000000000000ull, 651000000000000ull, 652000000000000ull, + 653000000000000ull, 654000000000000ull, 655000000000000ull, + 656000000000000ull, 657000000000000ull, 658000000000000ull, + 659000000000000ull, 694000000000000ull, 695000000000000ull, + 856000000000000ull, 857000000000000ull, 698000000000000ull, + 699000000000000ull, + 660000000000000ull, 661000000000000ull, 662000000000000ull, + 663000000000000ull, 664000000000000ull, 665000000000000ull, + 666000000000000ull, 667000000000000ull, 668000000000000ull, + 669000000000000ull, 686000000000000ull, 687000000000000ull, + 866000000000000ull, 867000000000000ull, 888000000000000ull, + 889000000000000ull, + 670000000000000ull, 671000000000000ull, 672000000000000ull, + 673000000000000ull, 674000000000000ull, 675000000000000ull, + 676000000000000ull, 677000000000000ull, 678000000000000ull, + 679000000000000ull, 696000000000000ull, 697000000000000ull, + 876000000000000ull, 877000000000000ull, 898000000000000ull, + 899000000000000ull, + 700000000000000ull, 701000000000000ull, 702000000000000ull, + 703000000000000ull, 704000000000000ull, 705000000000000ull, + 706000000000000ull, 707000000000000ull, 708000000000000ull, + 709000000000000ull, 780000000000000ull, 781000000000000ull, + 906000000000000ull, 907000000000000ull, 986000000000000ull, + 987000000000000ull, + 710000000000000ull, 711000000000000ull, 712000000000000ull, + 713000000000000ull, 714000000000000ull, 715000000000000ull, + 716000000000000ull, 717000000000000ull, 718000000000000ull, + 719000000000000ull, 790000000000000ull, 791000000000000ull, + 916000000000000ull, 917000000000000ull, 996000000000000ull, + 997000000000000ull, + 720000000000000ull, 721000000000000ull, 722000000000000ull, + 723000000000000ull, 724000000000000ull, 725000000000000ull, + 726000000000000ull, 727000000000000ull, 728000000000000ull, + 729000000000000ull, 782000000000000ull, 783000000000000ull, + 926000000000000ull, 927000000000000ull, 968000000000000ull, + 969000000000000ull, + 730000000000000ull, 731000000000000ull, 732000000000000ull, + 733000000000000ull, 734000000000000ull, 735000000000000ull, + 736000000000000ull, 737000000000000ull, 738000000000000ull, + 739000000000000ull, 792000000000000ull, 793000000000000ull, + 936000000000000ull, 937000000000000ull, 978000000000000ull, + 979000000000000ull, + 740000000000000ull, 741000000000000ull, 742000000000000ull, + 743000000000000ull, 744000000000000ull, 745000000000000ull, + 746000000000000ull, 747000000000000ull, 748000000000000ull, + 749000000000000ull, 784000000000000ull, 785000000000000ull, + 946000000000000ull, 947000000000000ull, 788000000000000ull, + 789000000000000ull, + 750000000000000ull, 751000000000000ull, 752000000000000ull, + 753000000000000ull, 754000000000000ull, 755000000000000ull, + 756000000000000ull, 757000000000000ull, 758000000000000ull, + 759000000000000ull, 794000000000000ull, 795000000000000ull, + 956000000000000ull, 957000000000000ull, 798000000000000ull, + 799000000000000ull, + 760000000000000ull, 761000000000000ull, 762000000000000ull, + 763000000000000ull, 764000000000000ull, 765000000000000ull, + 766000000000000ull, 767000000000000ull, 768000000000000ull, + 769000000000000ull, 786000000000000ull, 787000000000000ull, + 966000000000000ull, 967000000000000ull, 988000000000000ull, + 989000000000000ull, + 770000000000000ull, 771000000000000ull, 772000000000000ull, + 773000000000000ull, 774000000000000ull, 775000000000000ull, + 776000000000000ull, 777000000000000ull, 778000000000000ull, + 779000000000000ull, 796000000000000ull, 797000000000000ull, + 976000000000000ull, 977000000000000ull, 998000000000000ull, + 999000000000000ull +}; + +const UINT64 d2b6[] = + { 0000000000000000ull, 1000000000000000ull, 2000000000000000ull, + 3000000000000000ull, 4000000000000000ull, 5000000000000000ull, + 6000000000000000ull, 7000000000000000ull, 8000000000000000ull, + 9000000000000000ull, 80000000000000000ull, 81000000000000000ull, + 800000000000000000ull, 801000000000000000ull, 880000000000000000ull, + 881000000000000000ull, + 10000000000000000ull, 11000000000000000ull, 12000000000000000ull, + 13000000000000000ull, 14000000000000000ull, 15000000000000000ull, + 16000000000000000ull, 17000000000000000ull, 18000000000000000ull, + 19000000000000000ull, 90000000000000000ull, 91000000000000000ull, + 810000000000000000ull, 811000000000000000ull, 890000000000000000ull, + 891000000000000000ull, + 20000000000000000ull, 21000000000000000ull, 22000000000000000ull, + 23000000000000000ull, 24000000000000000ull, 25000000000000000ull, + 26000000000000000ull, 27000000000000000ull, 28000000000000000ull, + 29000000000000000ull, 82000000000000000ull, 83000000000000000ull, + 820000000000000000ull, 821000000000000000ull, 808000000000000000ull, + 809000000000000000ull, + 30000000000000000ull, 31000000000000000ull, 32000000000000000ull, + 33000000000000000ull, 34000000000000000ull, 35000000000000000ull, + 36000000000000000ull, 37000000000000000ull, 38000000000000000ull, + 39000000000000000ull, 92000000000000000ull, 93000000000000000ull, + 830000000000000000ull, 831000000000000000ull, 818000000000000000ull, + 819000000000000000ull, + 40000000000000000ull, 41000000000000000ull, 42000000000000000ull, + 43000000000000000ull, 44000000000000000ull, 45000000000000000ull, + 46000000000000000ull, 47000000000000000ull, 48000000000000000ull, + 49000000000000000ull, 84000000000000000ull, 85000000000000000ull, + 840000000000000000ull, 841000000000000000ull, 88000000000000000ull, + 89000000000000000ull, + 50000000000000000ull, 51000000000000000ull, 52000000000000000ull, + 53000000000000000ull, 54000000000000000ull, 55000000000000000ull, + 56000000000000000ull, 57000000000000000ull, 58000000000000000ull, + 59000000000000000ull, 94000000000000000ull, 95000000000000000ull, + 850000000000000000ull, 851000000000000000ull, 98000000000000000ull, + 99000000000000000ull, + 60000000000000000ull, 61000000000000000ull, 62000000000000000ull, + 63000000000000000ull, 64000000000000000ull, 65000000000000000ull, + 66000000000000000ull, 67000000000000000ull, 68000000000000000ull, + 69000000000000000ull, 86000000000000000ull, 87000000000000000ull, + 860000000000000000ull, 861000000000000000ull, 888000000000000000ull, + 889000000000000000ull, + 70000000000000000ull, 71000000000000000ull, 72000000000000000ull, + 73000000000000000ull, 74000000000000000ull, 75000000000000000ull, + 76000000000000000ull, 77000000000000000ull, 78000000000000000ull, + 79000000000000000ull, 96000000000000000ull, 97000000000000000ull, + 870000000000000000ull, 871000000000000000ull, 898000000000000000ull, + 899000000000000000ull, + 100000000000000000ull, 101000000000000000ull, 102000000000000000ull, + 103000000000000000ull, 104000000000000000ull, 105000000000000000ull, + 106000000000000000ull, 107000000000000000ull, 108000000000000000ull, + 109000000000000000ull, 180000000000000000ull, 181000000000000000ull, + 900000000000000000ull, 901000000000000000ull, 980000000000000000ull, + 981000000000000000ull, + 110000000000000000ull, 111000000000000000ull, 112000000000000000ull, + 113000000000000000ull, 114000000000000000ull, 115000000000000000ull, + 116000000000000000ull, 117000000000000000ull, 118000000000000000ull, + 119000000000000000ull, 190000000000000000ull, 191000000000000000ull, + 910000000000000000ull, 911000000000000000ull, 990000000000000000ull, + 991000000000000000ull, + 120000000000000000ull, 121000000000000000ull, 122000000000000000ull, + 123000000000000000ull, 124000000000000000ull, 125000000000000000ull, + 126000000000000000ull, 127000000000000000ull, 128000000000000000ull, + 129000000000000000ull, 182000000000000000ull, 183000000000000000ull, + 920000000000000000ull, 921000000000000000ull, 908000000000000000ull, + 909000000000000000ull, + 130000000000000000ull, 131000000000000000ull, 132000000000000000ull, + 133000000000000000ull, 134000000000000000ull, 135000000000000000ull, + 136000000000000000ull, 137000000000000000ull, 138000000000000000ull, + 139000000000000000ull, 192000000000000000ull, 193000000000000000ull, + 930000000000000000ull, 931000000000000000ull, 918000000000000000ull, + 919000000000000000ull, + 140000000000000000ull, 141000000000000000ull, 142000000000000000ull, + 143000000000000000ull, 144000000000000000ull, 145000000000000000ull, + 146000000000000000ull, 147000000000000000ull, 148000000000000000ull, + 149000000000000000ull, 184000000000000000ull, 185000000000000000ull, + 940000000000000000ull, 941000000000000000ull, 188000000000000000ull, + 189000000000000000ull, + 150000000000000000ull, 151000000000000000ull, 152000000000000000ull, + 153000000000000000ull, 154000000000000000ull, 155000000000000000ull, + 156000000000000000ull, 157000000000000000ull, 158000000000000000ull, + 159000000000000000ull, 194000000000000000ull, 195000000000000000ull, + 950000000000000000ull, 951000000000000000ull, 198000000000000000ull, + 199000000000000000ull, + 160000000000000000ull, 161000000000000000ull, 162000000000000000ull, + 163000000000000000ull, 164000000000000000ull, 165000000000000000ull, + 166000000000000000ull, 167000000000000000ull, 168000000000000000ull, + 169000000000000000ull, 186000000000000000ull, 187000000000000000ull, + 960000000000000000ull, 961000000000000000ull, 988000000000000000ull, + 989000000000000000ull, + 170000000000000000ull, 171000000000000000ull, 172000000000000000ull, + 173000000000000000ull, 174000000000000000ull, 175000000000000000ull, + 176000000000000000ull, 177000000000000000ull, 178000000000000000ull, + 179000000000000000ull, 196000000000000000ull, 197000000000000000ull, + 970000000000000000ull, 971000000000000000ull, 998000000000000000ull, + 999000000000000000ull, + 200000000000000000ull, 201000000000000000ull, 202000000000000000ull, + 203000000000000000ull, 204000000000000000ull, 205000000000000000ull, + 206000000000000000ull, 207000000000000000ull, 208000000000000000ull, + 209000000000000000ull, 280000000000000000ull, 281000000000000000ull, + 802000000000000000ull, 803000000000000000ull, 882000000000000000ull, + 883000000000000000ull, + 210000000000000000ull, 211000000000000000ull, 212000000000000000ull, + 213000000000000000ull, 214000000000000000ull, 215000000000000000ull, + 216000000000000000ull, 217000000000000000ull, 218000000000000000ull, + 219000000000000000ull, 290000000000000000ull, 291000000000000000ull, + 812000000000000000ull, 813000000000000000ull, 892000000000000000ull, + 893000000000000000ull, + 220000000000000000ull, 221000000000000000ull, 222000000000000000ull, + 223000000000000000ull, 224000000000000000ull, 225000000000000000ull, + 226000000000000000ull, 227000000000000000ull, 228000000000000000ull, + 229000000000000000ull, 282000000000000000ull, 283000000000000000ull, + 822000000000000000ull, 823000000000000000ull, 828000000000000000ull, + 829000000000000000ull, + 230000000000000000ull, 231000000000000000ull, 232000000000000000ull, + 233000000000000000ull, 234000000000000000ull, 235000000000000000ull, + 236000000000000000ull, 237000000000000000ull, 238000000000000000ull, + 239000000000000000ull, 292000000000000000ull, 293000000000000000ull, + 832000000000000000ull, 833000000000000000ull, 838000000000000000ull, + 839000000000000000ull, + 240000000000000000ull, 241000000000000000ull, 242000000000000000ull, + 243000000000000000ull, 244000000000000000ull, 245000000000000000ull, + 246000000000000000ull, 247000000000000000ull, 248000000000000000ull, + 249000000000000000ull, 284000000000000000ull, 285000000000000000ull, + 842000000000000000ull, 843000000000000000ull, 288000000000000000ull, + 289000000000000000ull, + 250000000000000000ull, 251000000000000000ull, 252000000000000000ull, + 253000000000000000ull, 254000000000000000ull, 255000000000000000ull, + 256000000000000000ull, 257000000000000000ull, 258000000000000000ull, + 259000000000000000ull, 294000000000000000ull, 295000000000000000ull, + 852000000000000000ull, 853000000000000000ull, 298000000000000000ull, + 299000000000000000ull, + 260000000000000000ull, 261000000000000000ull, 262000000000000000ull, + 263000000000000000ull, 264000000000000000ull, 265000000000000000ull, + 266000000000000000ull, 267000000000000000ull, 268000000000000000ull, + 269000000000000000ull, 286000000000000000ull, 287000000000000000ull, + 862000000000000000ull, 863000000000000000ull, 888000000000000000ull, + 889000000000000000ull, + 270000000000000000ull, 271000000000000000ull, 272000000000000000ull, + 273000000000000000ull, 274000000000000000ull, 275000000000000000ull, + 276000000000000000ull, 277000000000000000ull, 278000000000000000ull, + 279000000000000000ull, 296000000000000000ull, 297000000000000000ull, + 872000000000000000ull, 873000000000000000ull, 898000000000000000ull, + 899000000000000000ull, + 300000000000000000ull, 301000000000000000ull, 302000000000000000ull, + 303000000000000000ull, 304000000000000000ull, 305000000000000000ull, + 306000000000000000ull, 307000000000000000ull, 308000000000000000ull, + 309000000000000000ull, 380000000000000000ull, 381000000000000000ull, + 902000000000000000ull, 903000000000000000ull, 982000000000000000ull, + 983000000000000000ull, + 310000000000000000ull, 311000000000000000ull, 312000000000000000ull, + 313000000000000000ull, 314000000000000000ull, 315000000000000000ull, + 316000000000000000ull, 317000000000000000ull, 318000000000000000ull, + 319000000000000000ull, 390000000000000000ull, 391000000000000000ull, + 912000000000000000ull, 913000000000000000ull, 992000000000000000ull, + 993000000000000000ull, + 320000000000000000ull, 321000000000000000ull, 322000000000000000ull, + 323000000000000000ull, 324000000000000000ull, 325000000000000000ull, + 326000000000000000ull, 327000000000000000ull, 328000000000000000ull, + 329000000000000000ull, 382000000000000000ull, 383000000000000000ull, + 922000000000000000ull, 923000000000000000ull, 928000000000000000ull, + 929000000000000000ull, + 330000000000000000ull, 331000000000000000ull, 332000000000000000ull, + 333000000000000000ull, 334000000000000000ull, 335000000000000000ull, + 336000000000000000ull, 337000000000000000ull, 338000000000000000ull, + 339000000000000000ull, 392000000000000000ull, 393000000000000000ull, + 932000000000000000ull, 933000000000000000ull, 938000000000000000ull, + 939000000000000000ull, + 340000000000000000ull, 341000000000000000ull, 342000000000000000ull, + 343000000000000000ull, 344000000000000000ull, 345000000000000000ull, + 346000000000000000ull, 347000000000000000ull, 348000000000000000ull, + 349000000000000000ull, 384000000000000000ull, 385000000000000000ull, + 942000000000000000ull, 943000000000000000ull, 388000000000000000ull, + 389000000000000000ull, + 350000000000000000ull, 351000000000000000ull, 352000000000000000ull, + 353000000000000000ull, 354000000000000000ull, 355000000000000000ull, + 356000000000000000ull, 357000000000000000ull, 358000000000000000ull, + 359000000000000000ull, 394000000000000000ull, 395000000000000000ull, + 952000000000000000ull, 953000000000000000ull, 398000000000000000ull, + 399000000000000000ull, + 360000000000000000ull, 361000000000000000ull, 362000000000000000ull, + 363000000000000000ull, 364000000000000000ull, 365000000000000000ull, + 366000000000000000ull, 367000000000000000ull, 368000000000000000ull, + 369000000000000000ull, 386000000000000000ull, 387000000000000000ull, + 962000000000000000ull, 963000000000000000ull, 988000000000000000ull, + 989000000000000000ull, + 370000000000000000ull, 371000000000000000ull, 372000000000000000ull, + 373000000000000000ull, 374000000000000000ull, 375000000000000000ull, + 376000000000000000ull, 377000000000000000ull, 378000000000000000ull, + 379000000000000000ull, 396000000000000000ull, 397000000000000000ull, + 972000000000000000ull, 973000000000000000ull, 998000000000000000ull, + 999000000000000000ull, + 400000000000000000ull, 401000000000000000ull, 402000000000000000ull, + 403000000000000000ull, 404000000000000000ull, 405000000000000000ull, + 406000000000000000ull, 407000000000000000ull, 408000000000000000ull, + 409000000000000000ull, 480000000000000000ull, 481000000000000000ull, + 804000000000000000ull, 805000000000000000ull, 884000000000000000ull, + 885000000000000000ull, + 410000000000000000ull, 411000000000000000ull, 412000000000000000ull, + 413000000000000000ull, 414000000000000000ull, 415000000000000000ull, + 416000000000000000ull, 417000000000000000ull, 418000000000000000ull, + 419000000000000000ull, 490000000000000000ull, 491000000000000000ull, + 814000000000000000ull, 815000000000000000ull, 894000000000000000ull, + 895000000000000000ull, + 420000000000000000ull, 421000000000000000ull, 422000000000000000ull, + 423000000000000000ull, 424000000000000000ull, 425000000000000000ull, + 426000000000000000ull, 427000000000000000ull, 428000000000000000ull, + 429000000000000000ull, 482000000000000000ull, 483000000000000000ull, + 824000000000000000ull, 825000000000000000ull, 848000000000000000ull, + 849000000000000000ull, + 430000000000000000ull, 431000000000000000ull, 432000000000000000ull, + 433000000000000000ull, 434000000000000000ull, 435000000000000000ull, + 436000000000000000ull, 437000000000000000ull, 438000000000000000ull, + 439000000000000000ull, 492000000000000000ull, 493000000000000000ull, + 834000000000000000ull, 835000000000000000ull, 858000000000000000ull, + 859000000000000000ull, + 440000000000000000ull, 441000000000000000ull, 442000000000000000ull, + 443000000000000000ull, 444000000000000000ull, 445000000000000000ull, + 446000000000000000ull, 447000000000000000ull, 448000000000000000ull, + 449000000000000000ull, 484000000000000000ull, 485000000000000000ull, + 844000000000000000ull, 845000000000000000ull, 488000000000000000ull, + 489000000000000000ull, + 450000000000000000ull, 451000000000000000ull, 452000000000000000ull, + 453000000000000000ull, 454000000000000000ull, 455000000000000000ull, + 456000000000000000ull, 457000000000000000ull, 458000000000000000ull, + 459000000000000000ull, 494000000000000000ull, 495000000000000000ull, + 854000000000000000ull, 855000000000000000ull, 498000000000000000ull, + 499000000000000000ull, + 460000000000000000ull, 461000000000000000ull, 462000000000000000ull, + 463000000000000000ull, 464000000000000000ull, 465000000000000000ull, + 466000000000000000ull, 467000000000000000ull, 468000000000000000ull, + 469000000000000000ull, 486000000000000000ull, 487000000000000000ull, + 864000000000000000ull, 865000000000000000ull, 888000000000000000ull, + 889000000000000000ull, + 470000000000000000ull, 471000000000000000ull, 472000000000000000ull, + 473000000000000000ull, 474000000000000000ull, 475000000000000000ull, + 476000000000000000ull, 477000000000000000ull, 478000000000000000ull, + 479000000000000000ull, 496000000000000000ull, 497000000000000000ull, + 874000000000000000ull, 875000000000000000ull, 898000000000000000ull, + 899000000000000000ull, + 500000000000000000ull, 501000000000000000ull, 502000000000000000ull, + 503000000000000000ull, 504000000000000000ull, 505000000000000000ull, + 506000000000000000ull, 507000000000000000ull, 508000000000000000ull, + 509000000000000000ull, 580000000000000000ull, 581000000000000000ull, + 904000000000000000ull, 905000000000000000ull, 984000000000000000ull, + 985000000000000000ull, + 510000000000000000ull, 511000000000000000ull, 512000000000000000ull, + 513000000000000000ull, 514000000000000000ull, 515000000000000000ull, + 516000000000000000ull, 517000000000000000ull, 518000000000000000ull, + 519000000000000000ull, 590000000000000000ull, 591000000000000000ull, + 914000000000000000ull, 915000000000000000ull, 994000000000000000ull, + 995000000000000000ull, + 520000000000000000ull, 521000000000000000ull, 522000000000000000ull, + 523000000000000000ull, 524000000000000000ull, 525000000000000000ull, + 526000000000000000ull, 527000000000000000ull, 528000000000000000ull, + 529000000000000000ull, 582000000000000000ull, 583000000000000000ull, + 924000000000000000ull, 925000000000000000ull, 948000000000000000ull, + 949000000000000000ull, + 530000000000000000ull, 531000000000000000ull, 532000000000000000ull, + 533000000000000000ull, 534000000000000000ull, 535000000000000000ull, + 536000000000000000ull, 537000000000000000ull, 538000000000000000ull, + 539000000000000000ull, 592000000000000000ull, 593000000000000000ull, + 934000000000000000ull, 935000000000000000ull, 958000000000000000ull, + 959000000000000000ull, + 540000000000000000ull, 541000000000000000ull, 542000000000000000ull, + 543000000000000000ull, 544000000000000000ull, 545000000000000000ull, + 546000000000000000ull, 547000000000000000ull, 548000000000000000ull, + 549000000000000000ull, 584000000000000000ull, 585000000000000000ull, + 944000000000000000ull, 945000000000000000ull, 588000000000000000ull, + 589000000000000000ull, + 550000000000000000ull, 551000000000000000ull, 552000000000000000ull, + 553000000000000000ull, 554000000000000000ull, 555000000000000000ull, + 556000000000000000ull, 557000000000000000ull, 558000000000000000ull, + 559000000000000000ull, 594000000000000000ull, 595000000000000000ull, + 954000000000000000ull, 955000000000000000ull, 598000000000000000ull, + 599000000000000000ull, + 560000000000000000ull, 561000000000000000ull, 562000000000000000ull, + 563000000000000000ull, 564000000000000000ull, 565000000000000000ull, + 566000000000000000ull, 567000000000000000ull, 568000000000000000ull, + 569000000000000000ull, 586000000000000000ull, 587000000000000000ull, + 964000000000000000ull, 965000000000000000ull, 988000000000000000ull, + 989000000000000000ull, + 570000000000000000ull, 571000000000000000ull, 572000000000000000ull, + 573000000000000000ull, 574000000000000000ull, 575000000000000000ull, + 576000000000000000ull, 577000000000000000ull, 578000000000000000ull, + 579000000000000000ull, 596000000000000000ull, 597000000000000000ull, + 974000000000000000ull, 975000000000000000ull, 998000000000000000ull, + 999000000000000000ull, + 600000000000000000ull, 601000000000000000ull, 602000000000000000ull, + 603000000000000000ull, 604000000000000000ull, 605000000000000000ull, + 606000000000000000ull, 607000000000000000ull, 608000000000000000ull, + 609000000000000000ull, 680000000000000000ull, 681000000000000000ull, + 806000000000000000ull, 807000000000000000ull, 886000000000000000ull, + 887000000000000000ull, + 610000000000000000ull, 611000000000000000ull, 612000000000000000ull, + 613000000000000000ull, 614000000000000000ull, 615000000000000000ull, + 616000000000000000ull, 617000000000000000ull, 618000000000000000ull, + 619000000000000000ull, 690000000000000000ull, 691000000000000000ull, + 816000000000000000ull, 817000000000000000ull, 896000000000000000ull, + 897000000000000000ull, + 620000000000000000ull, 621000000000000000ull, 622000000000000000ull, + 623000000000000000ull, 624000000000000000ull, 625000000000000000ull, + 626000000000000000ull, 627000000000000000ull, 628000000000000000ull, + 629000000000000000ull, 682000000000000000ull, 683000000000000000ull, + 826000000000000000ull, 827000000000000000ull, 868000000000000000ull, + 869000000000000000ull, + 630000000000000000ull, 631000000000000000ull, 632000000000000000ull, + 633000000000000000ull, 634000000000000000ull, 635000000000000000ull, + 636000000000000000ull, 637000000000000000ull, 638000000000000000ull, + 639000000000000000ull, 692000000000000000ull, 693000000000000000ull, + 836000000000000000ull, 837000000000000000ull, 878000000000000000ull, + 879000000000000000ull, + 640000000000000000ull, 641000000000000000ull, 642000000000000000ull, + 643000000000000000ull, 644000000000000000ull, 645000000000000000ull, + 646000000000000000ull, 647000000000000000ull, 648000000000000000ull, + 649000000000000000ull, 684000000000000000ull, 685000000000000000ull, + 846000000000000000ull, 847000000000000000ull, 688000000000000000ull, + 689000000000000000ull, + 650000000000000000ull, 651000000000000000ull, 652000000000000000ull, + 653000000000000000ull, 654000000000000000ull, 655000000000000000ull, + 656000000000000000ull, 657000000000000000ull, 658000000000000000ull, + 659000000000000000ull, 694000000000000000ull, 695000000000000000ull, + 856000000000000000ull, 857000000000000000ull, 698000000000000000ull, + 699000000000000000ull, + 660000000000000000ull, 661000000000000000ull, 662000000000000000ull, + 663000000000000000ull, 664000000000000000ull, 665000000000000000ull, + 666000000000000000ull, 667000000000000000ull, 668000000000000000ull, + 669000000000000000ull, 686000000000000000ull, 687000000000000000ull, + 866000000000000000ull, 867000000000000000ull, 888000000000000000ull, + 889000000000000000ull, + 670000000000000000ull, 671000000000000000ull, 672000000000000000ull, + 673000000000000000ull, 674000000000000000ull, 675000000000000000ull, + 676000000000000000ull, 677000000000000000ull, 678000000000000000ull, + 679000000000000000ull, 696000000000000000ull, 697000000000000000ull, + 876000000000000000ull, 877000000000000000ull, 898000000000000000ull, + 899000000000000000ull, + 700000000000000000ull, 701000000000000000ull, 702000000000000000ull, + 703000000000000000ull, 704000000000000000ull, 705000000000000000ull, + 706000000000000000ull, 707000000000000000ull, 708000000000000000ull, + 709000000000000000ull, 780000000000000000ull, 781000000000000000ull, + 906000000000000000ull, 907000000000000000ull, 986000000000000000ull, + 987000000000000000ull, + 710000000000000000ull, 711000000000000000ull, 712000000000000000ull, + 713000000000000000ull, 714000000000000000ull, 715000000000000000ull, + 716000000000000000ull, 717000000000000000ull, 718000000000000000ull, + 719000000000000000ull, 790000000000000000ull, 791000000000000000ull, + 916000000000000000ull, 917000000000000000ull, 996000000000000000ull, + 997000000000000000ull, + 720000000000000000ull, 721000000000000000ull, 722000000000000000ull, + 723000000000000000ull, 724000000000000000ull, 725000000000000000ull, + 726000000000000000ull, 727000000000000000ull, 728000000000000000ull, + 729000000000000000ull, 782000000000000000ull, 783000000000000000ull, + 926000000000000000ull, 927000000000000000ull, 968000000000000000ull, + 969000000000000000ull, + 730000000000000000ull, 731000000000000000ull, 732000000000000000ull, + 733000000000000000ull, 734000000000000000ull, 735000000000000000ull, + 736000000000000000ull, 737000000000000000ull, 738000000000000000ull, + 739000000000000000ull, 792000000000000000ull, 793000000000000000ull, + 936000000000000000ull, 937000000000000000ull, 978000000000000000ull, + 979000000000000000ull, + 740000000000000000ull, 741000000000000000ull, 742000000000000000ull, + 743000000000000000ull, 744000000000000000ull, 745000000000000000ull, + 746000000000000000ull, 747000000000000000ull, 748000000000000000ull, + 749000000000000000ull, 784000000000000000ull, 785000000000000000ull, + 946000000000000000ull, 947000000000000000ull, 788000000000000000ull, + 789000000000000000ull, + 750000000000000000ull, 751000000000000000ull, 752000000000000000ull, + 753000000000000000ull, 754000000000000000ull, 755000000000000000ull, + 756000000000000000ull, 757000000000000000ull, 758000000000000000ull, + 759000000000000000ull, 794000000000000000ull, 795000000000000000ull, + 956000000000000000ull, 957000000000000000ull, 798000000000000000ull, + 799000000000000000ull, + 760000000000000000ull, 761000000000000000ull, 762000000000000000ull, + 763000000000000000ull, 764000000000000000ull, 765000000000000000ull, + 766000000000000000ull, 767000000000000000ull, 768000000000000000ull, + 769000000000000000ull, 786000000000000000ull, 787000000000000000ull, + 966000000000000000ull, 967000000000000000ull, 988000000000000000ull, + 989000000000000000ull, + 770000000000000000ull, 771000000000000000ull, 772000000000000000ull, + 773000000000000000ull, 774000000000000000ull, 775000000000000000ull, + 776000000000000000ull, 777000000000000000ull, 778000000000000000ull, + 779000000000000000ull, 796000000000000000ull, 797000000000000000ull, + 976000000000000000ull, 977000000000000000ull, 998000000000000000ull, + 999000000000000000ull +}; + +const UINT64 b2d[] = + { 0x000ull, 0x001ull, 0x002ull, 0x003ull, 0x004ull, 0x005ull, + 0x006ull, 0x007ull, 0x008ull, 0x009ull, + 0x010ull, 0x011ull, 0x012ull, 0x013ull, 0x014ull, 0x015ull, 0x016ull, + 0x017ull, 0x018ull, 0x019ull, + 0x020ull, 0x021ull, 0x022ull, 0x023ull, 0x024ull, 0x025ull, 0x026ull, + 0x027ull, 0x028ull, 0x029ull, + 0x030ull, 0x031ull, 0x032ull, 0x033ull, 0x034ull, 0x035ull, 0x036ull, + 0x037ull, 0x038ull, 0x039ull, + 0x040ull, 0x041ull, 0x042ull, 0x043ull, 0x044ull, 0x045ull, 0x046ull, + 0x047ull, 0x048ull, 0x049ull, + 0x050ull, 0x051ull, 0x052ull, 0x053ull, 0x054ull, 0x055ull, 0x056ull, + 0x057ull, 0x058ull, 0x059ull, + 0x060ull, 0x061ull, 0x062ull, 0x063ull, 0x064ull, 0x065ull, 0x066ull, + 0x067ull, 0x068ull, 0x069ull, + 0x070ull, 0x071ull, 0x072ull, 0x073ull, 0x074ull, 0x075ull, 0x076ull, + 0x077ull, 0x078ull, 0x079ull, + 0x00aull, 0x00bull, 0x02aull, 0x02bull, 0x04aull, 0x04bull, 0x06aull, + 0x06bull, 0x04eull, 0x04full, + 0x01aull, 0x01bull, 0x03aull, 0x03bull, 0x05aull, 0x05bull, 0x07aull, + 0x07bull, 0x05eull, 0x05full, + 0x080ull, 0x081ull, 0x082ull, 0x083ull, 0x084ull, 0x085ull, 0x086ull, + 0x087ull, 0x088ull, 0x089ull, + 0x090ull, 0x091ull, 0x092ull, 0x093ull, 0x094ull, 0x095ull, 0x096ull, + 0x097ull, 0x098ull, 0x099ull, + 0x0a0ull, 0x0a1ull, 0x0a2ull, 0x0a3ull, 0x0a4ull, 0x0a5ull, 0x0a6ull, + 0x0a7ull, 0x0a8ull, 0x0a9ull, + 0x0b0ull, 0x0b1ull, 0x0b2ull, 0x0b3ull, 0x0b4ull, 0x0b5ull, 0x0b6ull, + 0x0b7ull, 0x0b8ull, 0x0b9ull, + 0x0c0ull, 0x0c1ull, 0x0c2ull, 0x0c3ull, 0x0c4ull, 0x0c5ull, 0x0c6ull, + 0x0c7ull, 0x0c8ull, 0x0c9ull, + 0x0d0ull, 0x0d1ull, 0x0d2ull, 0x0d3ull, 0x0d4ull, 0x0d5ull, 0x0d6ull, + 0x0d7ull, 0x0d8ull, 0x0d9ull, + 0x0e0ull, 0x0e1ull, 0x0e2ull, 0x0e3ull, 0x0e4ull, 0x0e5ull, 0x0e6ull, + 0x0e7ull, 0x0e8ull, 0x0e9ull, + 0x0f0ull, 0x0f1ull, 0x0f2ull, 0x0f3ull, 0x0f4ull, 0x0f5ull, 0x0f6ull, + 0x0f7ull, 0x0f8ull, 0x0f9ull, + 0x08aull, 0x08bull, 0x0aaull, 0x0abull, 0x0caull, 0x0cbull, 0x0eaull, + 0x0ebull, 0x0ceull, 0x0cfull, + 0x09aull, 0x09bull, 0x0baull, 0x0bbull, 0x0daull, 0x0dbull, 0x0faull, + 0x0fbull, 0x0deull, 0x0dfull, + 0x100ull, 0x101ull, 0x102ull, 0x103ull, 0x104ull, 0x105ull, 0x106ull, + 0x107ull, 0x108ull, 0x109ull, + 0x110ull, 0x111ull, 0x112ull, 0x113ull, 0x114ull, 0x115ull, 0x116ull, + 0x117ull, 0x118ull, 0x119ull, + 0x120ull, 0x121ull, 0x122ull, 0x123ull, 0x124ull, 0x125ull, 0x126ull, + 0x127ull, 0x128ull, 0x129ull, + 0x130ull, 0x131ull, 0x132ull, 0x133ull, 0x134ull, 0x135ull, 0x136ull, + 0x137ull, 0x138ull, 0x139ull, + 0x140ull, 0x141ull, 0x142ull, 0x143ull, 0x144ull, 0x145ull, 0x146ull, + 0x147ull, 0x148ull, 0x149ull, + 0x150ull, 0x151ull, 0x152ull, 0x153ull, 0x154ull, 0x155ull, 0x156ull, + 0x157ull, 0x158ull, 0x159ull, + 0x160ull, 0x161ull, 0x162ull, 0x163ull, 0x164ull, 0x165ull, 0x166ull, + 0x167ull, 0x168ull, 0x169ull, + 0x170ull, 0x171ull, 0x172ull, 0x173ull, 0x174ull, 0x175ull, 0x176ull, + 0x177ull, 0x178ull, 0x179ull, + 0x10aull, 0x10bull, 0x12aull, 0x12bull, 0x14aull, 0x14bull, 0x16aull, + 0x16bull, 0x14eull, 0x14full, + 0x11aull, 0x11bull, 0x13aull, 0x13bull, 0x15aull, 0x15bull, 0x17aull, + 0x17bull, 0x15eull, 0x15full, + 0x180ull, 0x181ull, 0x182ull, 0x183ull, 0x184ull, 0x185ull, 0x186ull, + 0x187ull, 0x188ull, 0x189ull, + 0x190ull, 0x191ull, 0x192ull, 0x193ull, 0x194ull, 0x195ull, 0x196ull, + 0x197ull, 0x198ull, 0x199ull, + 0x1a0ull, 0x1a1ull, 0x1a2ull, 0x1a3ull, 0x1a4ull, 0x1a5ull, 0x1a6ull, + 0x1a7ull, 0x1a8ull, 0x1a9ull, + 0x1b0ull, 0x1b1ull, 0x1b2ull, 0x1b3ull, 0x1b4ull, 0x1b5ull, 0x1b6ull, + 0x1b7ull, 0x1b8ull, 0x1b9ull, + 0x1c0ull, 0x1c1ull, 0x1c2ull, 0x1c3ull, 0x1c4ull, 0x1c5ull, 0x1c6ull, + 0x1c7ull, 0x1c8ull, 0x1c9ull, + 0x1d0ull, 0x1d1ull, 0x1d2ull, 0x1d3ull, 0x1d4ull, 0x1d5ull, 0x1d6ull, + 0x1d7ull, 0x1d8ull, 0x1d9ull, + 0x1e0ull, 0x1e1ull, 0x1e2ull, 0x1e3ull, 0x1e4ull, 0x1e5ull, 0x1e6ull, + 0x1e7ull, 0x1e8ull, 0x1e9ull, + 0x1f0ull, 0x1f1ull, 0x1f2ull, 0x1f3ull, 0x1f4ull, 0x1f5ull, 0x1f6ull, + 0x1f7ull, 0x1f8ull, 0x1f9ull, + 0x18aull, 0x18bull, 0x1aaull, 0x1abull, 0x1caull, 0x1cbull, 0x1eaull, + 0x1ebull, 0x1ceull, 0x1cfull, + 0x19aull, 0x19bull, 0x1baull, 0x1bbull, 0x1daull, 0x1dbull, 0x1faull, + 0x1fbull, 0x1deull, 0x1dfull, + 0x200ull, 0x201ull, 0x202ull, 0x203ull, 0x204ull, 0x205ull, 0x206ull, + 0x207ull, 0x208ull, 0x209ull, + 0x210ull, 0x211ull, 0x212ull, 0x213ull, 0x214ull, 0x215ull, 0x216ull, + 0x217ull, 0x218ull, 0x219ull, + 0x220ull, 0x221ull, 0x222ull, 0x223ull, 0x224ull, 0x225ull, 0x226ull, + 0x227ull, 0x228ull, 0x229ull, + 0x230ull, 0x231ull, 0x232ull, 0x233ull, 0x234ull, 0x235ull, 0x236ull, + 0x237ull, 0x238ull, 0x239ull, + 0x240ull, 0x241ull, 0x242ull, 0x243ull, 0x244ull, 0x245ull, 0x246ull, + 0x247ull, 0x248ull, 0x249ull, + 0x250ull, 0x251ull, 0x252ull, 0x253ull, 0x254ull, 0x255ull, 0x256ull, + 0x257ull, 0x258ull, 0x259ull, + 0x260ull, 0x261ull, 0x262ull, 0x263ull, 0x264ull, 0x265ull, 0x266ull, + 0x267ull, 0x268ull, 0x269ull, + 0x270ull, 0x271ull, 0x272ull, 0x273ull, 0x274ull, 0x275ull, 0x276ull, + 0x277ull, 0x278ull, 0x279ull, + 0x20aull, 0x20bull, 0x22aull, 0x22bull, 0x24aull, 0x24bull, 0x26aull, + 0x26bull, 0x24eull, 0x24full, + 0x21aull, 0x21bull, 0x23aull, 0x23bull, 0x25aull, 0x25bull, 0x27aull, + 0x27bull, 0x25eull, 0x25full, + 0x280ull, 0x281ull, 0x282ull, 0x283ull, 0x284ull, 0x285ull, 0x286ull, + 0x287ull, 0x288ull, 0x289ull, + 0x290ull, 0x291ull, 0x292ull, 0x293ull, 0x294ull, 0x295ull, 0x296ull, + 0x297ull, 0x298ull, 0x299ull, + 0x2a0ull, 0x2a1ull, 0x2a2ull, 0x2a3ull, 0x2a4ull, 0x2a5ull, 0x2a6ull, + 0x2a7ull, 0x2a8ull, 0x2a9ull, + 0x2b0ull, 0x2b1ull, 0x2b2ull, 0x2b3ull, 0x2b4ull, 0x2b5ull, 0x2b6ull, + 0x2b7ull, 0x2b8ull, 0x2b9ull, + 0x2c0ull, 0x2c1ull, 0x2c2ull, 0x2c3ull, 0x2c4ull, 0x2c5ull, 0x2c6ull, + 0x2c7ull, 0x2c8ull, 0x2c9ull, + 0x2d0ull, 0x2d1ull, 0x2d2ull, 0x2d3ull, 0x2d4ull, 0x2d5ull, 0x2d6ull, + 0x2d7ull, 0x2d8ull, 0x2d9ull, + 0x2e0ull, 0x2e1ull, 0x2e2ull, 0x2e3ull, 0x2e4ull, 0x2e5ull, 0x2e6ull, + 0x2e7ull, 0x2e8ull, 0x2e9ull, + 0x2f0ull, 0x2f1ull, 0x2f2ull, 0x2f3ull, 0x2f4ull, 0x2f5ull, 0x2f6ull, + 0x2f7ull, 0x2f8ull, 0x2f9ull, + 0x28aull, 0x28bull, 0x2aaull, 0x2abull, 0x2caull, 0x2cbull, 0x2eaull, + 0x2ebull, 0x2ceull, 0x2cfull, + 0x29aull, 0x29bull, 0x2baull, 0x2bbull, 0x2daull, 0x2dbull, 0x2faull, + 0x2fbull, 0x2deull, 0x2dfull, + 0x300ull, 0x301ull, 0x302ull, 0x303ull, 0x304ull, 0x305ull, 0x306ull, + 0x307ull, 0x308ull, 0x309ull, + 0x310ull, 0x311ull, 0x312ull, 0x313ull, 0x314ull, 0x315ull, 0x316ull, + 0x317ull, 0x318ull, 0x319ull, + 0x320ull, 0x321ull, 0x322ull, 0x323ull, 0x324ull, 0x325ull, 0x326ull, + 0x327ull, 0x328ull, 0x329ull, + 0x330ull, 0x331ull, 0x332ull, 0x333ull, 0x334ull, 0x335ull, 0x336ull, + 0x337ull, 0x338ull, 0x339ull, + 0x340ull, 0x341ull, 0x342ull, 0x343ull, 0x344ull, 0x345ull, 0x346ull, + 0x347ull, 0x348ull, 0x349ull, + 0x350ull, 0x351ull, 0x352ull, 0x353ull, 0x354ull, 0x355ull, 0x356ull, + 0x357ull, 0x358ull, 0x359ull, + 0x360ull, 0x361ull, 0x362ull, 0x363ull, 0x364ull, 0x365ull, 0x366ull, + 0x367ull, 0x368ull, 0x369ull, + 0x370ull, 0x371ull, 0x372ull, 0x373ull, 0x374ull, 0x375ull, 0x376ull, + 0x377ull, 0x378ull, 0x379ull, + 0x30aull, 0x30bull, 0x32aull, 0x32bull, 0x34aull, 0x34bull, 0x36aull, + 0x36bull, 0x34eull, 0x34full, + 0x31aull, 0x31bull, 0x33aull, 0x33bull, 0x35aull, 0x35bull, 0x37aull, + 0x37bull, 0x35eull, 0x35full, + 0x380ull, 0x381ull, 0x382ull, 0x383ull, 0x384ull, 0x385ull, 0x386ull, + 0x387ull, 0x388ull, 0x389ull, + 0x390ull, 0x391ull, 0x392ull, 0x393ull, 0x394ull, 0x395ull, 0x396ull, + 0x397ull, 0x398ull, 0x399ull, + 0x3a0ull, 0x3a1ull, 0x3a2ull, 0x3a3ull, 0x3a4ull, 0x3a5ull, 0x3a6ull, + 0x3a7ull, 0x3a8ull, 0x3a9ull, + 0x3b0ull, 0x3b1ull, 0x3b2ull, 0x3b3ull, 0x3b4ull, 0x3b5ull, 0x3b6ull, + 0x3b7ull, 0x3b8ull, 0x3b9ull, + 0x3c0ull, 0x3c1ull, 0x3c2ull, 0x3c3ull, 0x3c4ull, 0x3c5ull, 0x3c6ull, + 0x3c7ull, 0x3c8ull, 0x3c9ull, + 0x3d0ull, 0x3d1ull, 0x3d2ull, 0x3d3ull, 0x3d4ull, 0x3d5ull, 0x3d6ull, + 0x3d7ull, 0x3d8ull, 0x3d9ull, + 0x3e0ull, 0x3e1ull, 0x3e2ull, 0x3e3ull, 0x3e4ull, 0x3e5ull, 0x3e6ull, + 0x3e7ull, 0x3e8ull, 0x3e9ull, + 0x3f0ull, 0x3f1ull, 0x3f2ull, 0x3f3ull, 0x3f4ull, 0x3f5ull, 0x3f6ull, + 0x3f7ull, 0x3f8ull, 0x3f9ull, + 0x38aull, 0x38bull, 0x3aaull, 0x3abull, 0x3caull, 0x3cbull, 0x3eaull, + 0x3ebull, 0x3ceull, 0x3cfull, + 0x39aull, 0x39bull, 0x3baull, 0x3bbull, 0x3daull, 0x3dbull, 0x3faull, + 0x3fbull, 0x3deull, 0x3dfull, + 0x00cull, 0x00dull, 0x10cull, 0x10dull, 0x20cull, 0x20dull, 0x30cull, + 0x30dull, 0x02eull, 0x02full, + 0x01cull, 0x01dull, 0x11cull, 0x11dull, 0x21cull, 0x21dull, 0x31cull, + 0x31dull, 0x03eull, 0x03full, + 0x02cull, 0x02dull, 0x12cull, 0x12dull, 0x22cull, 0x22dull, 0x32cull, + 0x32dull, 0x12eull, 0x12full, + 0x03cull, 0x03dull, 0x13cull, 0x13dull, 0x23cull, 0x23dull, 0x33cull, + 0x33dull, 0x13eull, 0x13full, + 0x04cull, 0x04dull, 0x14cull, 0x14dull, 0x24cull, 0x24dull, 0x34cull, + 0x34dull, 0x22eull, 0x22full, + 0x05cull, 0x05dull, 0x15cull, 0x15dull, 0x25cull, 0x25dull, 0x35cull, + 0x35dull, 0x23eull, 0x23full, + 0x06cull, 0x06dull, 0x16cull, 0x16dull, 0x26cull, 0x26dull, 0x36cull, + 0x36dull, 0x32eull, 0x32full, + 0x07cull, 0x07dull, 0x17cull, 0x17dull, 0x27cull, 0x27dull, 0x37cull, + 0x37dull, 0x33eull, 0x33full, + 0x00eull, 0x00full, 0x10eull, 0x10full, 0x20eull, 0x20full, 0x30eull, + 0x30full, 0x06eull, 0x06full, + 0x01eull, 0x01full, 0x11eull, 0x11full, 0x21eull, 0x21full, 0x31eull, + 0x31full, 0x07eull, 0x07full, + 0x08cull, 0x08dull, 0x18cull, 0x18dull, 0x28cull, 0x28dull, 0x38cull, + 0x38dull, 0x0aeull, 0x0afull, + 0x09cull, 0x09dull, 0x19cull, 0x19dull, 0x29cull, 0x29dull, 0x39cull, + 0x39dull, 0x0beull, 0x0bfull, + 0x0acull, 0x0adull, 0x1acull, 0x1adull, 0x2acull, 0x2adull, 0x3acull, + 0x3adull, 0x1aeull, 0x1afull, + 0x0bcull, 0x0bdull, 0x1bcull, 0x1bdull, 0x2bcull, 0x2bdull, 0x3bcull, + 0x3bdull, 0x1beull, 0x1bfull, + 0x0ccull, 0x0cdull, 0x1ccull, 0x1cdull, 0x2ccull, 0x2cdull, 0x3ccull, + 0x3cdull, 0x2aeull, 0x2afull, + 0x0dcull, 0x0ddull, 0x1dcull, 0x1ddull, 0x2dcull, 0x2ddull, 0x3dcull, + 0x3ddull, 0x2beull, 0x2bfull, + 0x0ecull, 0x0edull, 0x1ecull, 0x1edull, 0x2ecull, 0x2edull, 0x3ecull, + 0x3edull, 0x3aeull, 0x3afull, + 0x0fcull, 0x0fdull, 0x1fcull, 0x1fdull, 0x2fcull, 0x2fdull, 0x3fcull, + 0x3fdull, 0x3beull, 0x3bfull, + 0x08eull, 0x08full, 0x18eull, 0x18full, 0x28eull, 0x28full, 0x38eull, + 0x38full, 0x0eeull, 0x0efull, + 0x09eull, 0x09full, 0x19eull, 0x19full, 0x29eull, 0x29full, 0x39eull, + 0x39full, 0x0feull, 0x0ffull +}; + +const UINT64 b2d2[] = + { 0x000ull << 10, 0x001ull << 10, 0x002ull << 10, 0x003ull << 10, + 0x004ull << 10, 0x005ull << 10, 0x006ull << 10, 0x007ull << 10, + 0x008ull << 10, + 0x009ull << 10, + 0x010ull << 10, 0x011ull << 10, 0x012ull << 10, 0x013ull << 10, + 0x014ull << 10, 0x015ull << 10, 0x016ull << 10, 0x017ull << 10, + 0x018ull << 10, 0x019ull << 10, + 0x020ull << 10, 0x021ull << 10, 0x022ull << 10, 0x023ull << 10, + 0x024ull << 10, 0x025ull << 10, 0x026ull << 10, 0x027ull << 10, + 0x028ull << 10, 0x029ull << 10, + 0x030ull << 10, 0x031ull << 10, 0x032ull << 10, 0x033ull << 10, + 0x034ull << 10, 0x035ull << 10, 0x036ull << 10, 0x037ull << 10, + 0x038ull << 10, 0x039ull << 10, + 0x040ull << 10, 0x041ull << 10, 0x042ull << 10, 0x043ull << 10, + 0x044ull << 10, 0x045ull << 10, 0x046ull << 10, 0x047ull << 10, + 0x048ull << 10, 0x049ull << 10, + 0x050ull << 10, 0x051ull << 10, 0x052ull << 10, 0x053ull << 10, + 0x054ull << 10, 0x055ull << 10, 0x056ull << 10, 0x057ull << 10, + 0x058ull << 10, 0x059ull << 10, + 0x060ull << 10, 0x061ull << 10, 0x062ull << 10, 0x063ull << 10, + 0x064ull << 10, 0x065ull << 10, 0x066ull << 10, 0x067ull << 10, + 0x068ull << 10, 0x069ull << 10, + 0x070ull << 10, 0x071ull << 10, 0x072ull << 10, 0x073ull << 10, + 0x074ull << 10, 0x075ull << 10, 0x076ull << 10, 0x077ull << 10, + 0x078ull << 10, 0x079ull << 10, + 0x00aull << 10, 0x00bull << 10, 0x02aull << 10, 0x02bull << 10, + 0x04aull << 10, 0x04bull << 10, 0x06aull << 10, 0x06bull << 10, + 0x04eull << 10, 0x04full << 10, + 0x01aull << 10, 0x01bull << 10, 0x03aull << 10, 0x03bull << 10, + 0x05aull << 10, 0x05bull << 10, 0x07aull << 10, 0x07bull << 10, + 0x05eull << 10, 0x05full << 10, + 0x080ull << 10, 0x081ull << 10, 0x082ull << 10, 0x083ull << 10, + 0x084ull << 10, 0x085ull << 10, 0x086ull << 10, 0x087ull << 10, + 0x088ull << 10, 0x089ull << 10, + 0x090ull << 10, 0x091ull << 10, 0x092ull << 10, 0x093ull << 10, + 0x094ull << 10, 0x095ull << 10, 0x096ull << 10, 0x097ull << 10, + 0x098ull << 10, 0x099ull << 10, + 0x0a0ull << 10, 0x0a1ull << 10, 0x0a2ull << 10, 0x0a3ull << 10, + 0x0a4ull << 10, 0x0a5ull << 10, 0x0a6ull << 10, 0x0a7ull << 10, + 0x0a8ull << 10, 0x0a9ull << 10, + 0x0b0ull << 10, 0x0b1ull << 10, 0x0b2ull << 10, 0x0b3ull << 10, + 0x0b4ull << 10, 0x0b5ull << 10, 0x0b6ull << 10, 0x0b7ull << 10, + 0x0b8ull << 10, 0x0b9ull << 10, + 0x0c0ull << 10, 0x0c1ull << 10, 0x0c2ull << 10, 0x0c3ull << 10, + 0x0c4ull << 10, 0x0c5ull << 10, 0x0c6ull << 10, 0x0c7ull << 10, + 0x0c8ull << 10, 0x0c9ull << 10, + 0x0d0ull << 10, 0x0d1ull << 10, 0x0d2ull << 10, 0x0d3ull << 10, + 0x0d4ull << 10, 0x0d5ull << 10, 0x0d6ull << 10, 0x0d7ull << 10, + 0x0d8ull << 10, 0x0d9ull << 10, + 0x0e0ull << 10, 0x0e1ull << 10, 0x0e2ull << 10, 0x0e3ull << 10, + 0x0e4ull << 10, 0x0e5ull << 10, 0x0e6ull << 10, 0x0e7ull << 10, + 0x0e8ull << 10, 0x0e9ull << 10, + 0x0f0ull << 10, 0x0f1ull << 10, 0x0f2ull << 10, 0x0f3ull << 10, + 0x0f4ull << 10, 0x0f5ull << 10, 0x0f6ull << 10, 0x0f7ull << 10, + 0x0f8ull << 10, 0x0f9ull << 10, + 0x08aull << 10, 0x08bull << 10, 0x0aaull << 10, 0x0abull << 10, + 0x0caull << 10, 0x0cbull << 10, 0x0eaull << 10, 0x0ebull << 10, + 0x0ceull << 10, 0x0cfull << 10, + 0x09aull << 10, 0x09bull << 10, 0x0baull << 10, 0x0bbull << 10, + 0x0daull << 10, 0x0dbull << 10, 0x0faull << 10, 0x0fbull << 10, + 0x0deull << 10, 0x0dfull << 10, + 0x100ull << 10, 0x101ull << 10, 0x102ull << 10, 0x103ull << 10, + 0x104ull << 10, 0x105ull << 10, 0x106ull << 10, 0x107ull << 10, + 0x108ull << 10, 0x109ull << 10, + 0x110ull << 10, 0x111ull << 10, 0x112ull << 10, 0x113ull << 10, + 0x114ull << 10, 0x115ull << 10, 0x116ull << 10, 0x117ull << 10, + 0x118ull << 10, 0x119ull << 10, + 0x120ull << 10, 0x121ull << 10, 0x122ull << 10, 0x123ull << 10, + 0x124ull << 10, 0x125ull << 10, 0x126ull << 10, 0x127ull << 10, + 0x128ull << 10, 0x129ull << 10, + 0x130ull << 10, 0x131ull << 10, 0x132ull << 10, 0x133ull << 10, + 0x134ull << 10, 0x135ull << 10, 0x136ull << 10, 0x137ull << 10, + 0x138ull << 10, 0x139ull << 10, + 0x140ull << 10, 0x141ull << 10, 0x142ull << 10, 0x143ull << 10, + 0x144ull << 10, 0x145ull << 10, 0x146ull << 10, 0x147ull << 10, + 0x148ull << 10, 0x149ull << 10, + 0x150ull << 10, 0x151ull << 10, 0x152ull << 10, 0x153ull << 10, + 0x154ull << 10, 0x155ull << 10, 0x156ull << 10, 0x157ull << 10, + 0x158ull << 10, 0x159ull << 10, + 0x160ull << 10, 0x161ull << 10, 0x162ull << 10, 0x163ull << 10, + 0x164ull << 10, 0x165ull << 10, 0x166ull << 10, 0x167ull << 10, + 0x168ull << 10, 0x169ull << 10, + 0x170ull << 10, 0x171ull << 10, 0x172ull << 10, 0x173ull << 10, + 0x174ull << 10, 0x175ull << 10, 0x176ull << 10, 0x177ull << 10, + 0x178ull << 10, 0x179ull << 10, + 0x10aull << 10, 0x10bull << 10, 0x12aull << 10, 0x12bull << 10, + 0x14aull << 10, 0x14bull << 10, 0x16aull << 10, 0x16bull << 10, + 0x14eull << 10, 0x14full << 10, + 0x11aull << 10, 0x11bull << 10, 0x13aull << 10, 0x13bull << 10, + 0x15aull << 10, 0x15bull << 10, 0x17aull << 10, 0x17bull << 10, + 0x15eull << 10, 0x15full << 10, + 0x180ull << 10, 0x181ull << 10, 0x182ull << 10, 0x183ull << 10, + 0x184ull << 10, 0x185ull << 10, 0x186ull << 10, 0x187ull << 10, + 0x188ull << 10, 0x189ull << 10, + 0x190ull << 10, 0x191ull << 10, 0x192ull << 10, 0x193ull << 10, + 0x194ull << 10, 0x195ull << 10, 0x196ull << 10, 0x197ull << 10, + 0x198ull << 10, 0x199ull << 10, + 0x1a0ull << 10, 0x1a1ull << 10, 0x1a2ull << 10, 0x1a3ull << 10, + 0x1a4ull << 10, 0x1a5ull << 10, 0x1a6ull << 10, 0x1a7ull << 10, + 0x1a8ull << 10, 0x1a9ull << 10, + 0x1b0ull << 10, 0x1b1ull << 10, 0x1b2ull << 10, 0x1b3ull << 10, + 0x1b4ull << 10, 0x1b5ull << 10, 0x1b6ull << 10, 0x1b7ull << 10, + 0x1b8ull << 10, 0x1b9ull << 10, + 0x1c0ull << 10, 0x1c1ull << 10, 0x1c2ull << 10, 0x1c3ull << 10, + 0x1c4ull << 10, 0x1c5ull << 10, 0x1c6ull << 10, 0x1c7ull << 10, + 0x1c8ull << 10, 0x1c9ull << 10, + 0x1d0ull << 10, 0x1d1ull << 10, 0x1d2ull << 10, 0x1d3ull << 10, + 0x1d4ull << 10, 0x1d5ull << 10, 0x1d6ull << 10, 0x1d7ull << 10, + 0x1d8ull << 10, 0x1d9ull << 10, + 0x1e0ull << 10, 0x1e1ull << 10, 0x1e2ull << 10, 0x1e3ull << 10, + 0x1e4ull << 10, 0x1e5ull << 10, 0x1e6ull << 10, 0x1e7ull << 10, + 0x1e8ull << 10, 0x1e9ull << 10, + 0x1f0ull << 10, 0x1f1ull << 10, 0x1f2ull << 10, 0x1f3ull << 10, + 0x1f4ull << 10, 0x1f5ull << 10, 0x1f6ull << 10, 0x1f7ull << 10, + 0x1f8ull << 10, 0x1f9ull << 10, + 0x18aull << 10, 0x18bull << 10, 0x1aaull << 10, 0x1abull << 10, + 0x1caull << 10, 0x1cbull << 10, 0x1eaull << 10, 0x1ebull << 10, + 0x1ceull << 10, 0x1cfull << 10, + 0x19aull << 10, 0x19bull << 10, 0x1baull << 10, 0x1bbull << 10, + 0x1daull << 10, 0x1dbull << 10, 0x1faull << 10, 0x1fbull << 10, + 0x1deull << 10, 0x1dfull << 10, + 0x200ull << 10, 0x201ull << 10, 0x202ull << 10, 0x203ull << 10, + 0x204ull << 10, 0x205ull << 10, 0x206ull << 10, 0x207ull << 10, + 0x208ull << 10, 0x209ull << 10, + 0x210ull << 10, 0x211ull << 10, 0x212ull << 10, 0x213ull << 10, + 0x214ull << 10, 0x215ull << 10, 0x216ull << 10, 0x217ull << 10, + 0x218ull << 10, 0x219ull << 10, + 0x220ull << 10, 0x221ull << 10, 0x222ull << 10, 0x223ull << 10, + 0x224ull << 10, 0x225ull << 10, 0x226ull << 10, 0x227ull << 10, + 0x228ull << 10, 0x229ull << 10, + 0x230ull << 10, 0x231ull << 10, 0x232ull << 10, 0x233ull << 10, + 0x234ull << 10, 0x235ull << 10, 0x236ull << 10, 0x237ull << 10, + 0x238ull << 10, 0x239ull << 10, + 0x240ull << 10, 0x241ull << 10, 0x242ull << 10, 0x243ull << 10, + 0x244ull << 10, 0x245ull << 10, 0x246ull << 10, 0x247ull << 10, + 0x248ull << 10, 0x249ull << 10, + 0x250ull << 10, 0x251ull << 10, 0x252ull << 10, 0x253ull << 10, + 0x254ull << 10, 0x255ull << 10, 0x256ull << 10, 0x257ull << 10, + 0x258ull << 10, 0x259ull << 10, + 0x260ull << 10, 0x261ull << 10, 0x262ull << 10, 0x263ull << 10, + 0x264ull << 10, 0x265ull << 10, 0x266ull << 10, 0x267ull << 10, + 0x268ull << 10, 0x269ull << 10, + 0x270ull << 10, 0x271ull << 10, 0x272ull << 10, 0x273ull << 10, + 0x274ull << 10, 0x275ull << 10, 0x276ull << 10, 0x277ull << 10, + 0x278ull << 10, 0x279ull << 10, + 0x20aull << 10, 0x20bull << 10, 0x22aull << 10, 0x22bull << 10, + 0x24aull << 10, 0x24bull << 10, 0x26aull << 10, 0x26bull << 10, + 0x24eull << 10, 0x24full << 10, + 0x21aull << 10, 0x21bull << 10, 0x23aull << 10, 0x23bull << 10, + 0x25aull << 10, 0x25bull << 10, 0x27aull << 10, 0x27bull << 10, + 0x25eull << 10, 0x25full << 10, + 0x280ull << 10, 0x281ull << 10, 0x282ull << 10, 0x283ull << 10, + 0x284ull << 10, 0x285ull << 10, 0x286ull << 10, 0x287ull << 10, + 0x288ull << 10, 0x289ull << 10, + 0x290ull << 10, 0x291ull << 10, 0x292ull << 10, 0x293ull << 10, + 0x294ull << 10, 0x295ull << 10, 0x296ull << 10, 0x297ull << 10, + 0x298ull << 10, 0x299ull << 10, + 0x2a0ull << 10, 0x2a1ull << 10, 0x2a2ull << 10, 0x2a3ull << 10, + 0x2a4ull << 10, 0x2a5ull << 10, 0x2a6ull << 10, 0x2a7ull << 10, + 0x2a8ull << 10, 0x2a9ull << 10, + 0x2b0ull << 10, 0x2b1ull << 10, 0x2b2ull << 10, 0x2b3ull << 10, + 0x2b4ull << 10, 0x2b5ull << 10, 0x2b6ull << 10, 0x2b7ull << 10, + 0x2b8ull << 10, 0x2b9ull << 10, + 0x2c0ull << 10, 0x2c1ull << 10, 0x2c2ull << 10, 0x2c3ull << 10, + 0x2c4ull << 10, 0x2c5ull << 10, 0x2c6ull << 10, 0x2c7ull << 10, + 0x2c8ull << 10, 0x2c9ull << 10, + 0x2d0ull << 10, 0x2d1ull << 10, 0x2d2ull << 10, 0x2d3ull << 10, + 0x2d4ull << 10, 0x2d5ull << 10, 0x2d6ull << 10, 0x2d7ull << 10, + 0x2d8ull << 10, 0x2d9ull << 10, + 0x2e0ull << 10, 0x2e1ull << 10, 0x2e2ull << 10, 0x2e3ull << 10, + 0x2e4ull << 10, 0x2e5ull << 10, 0x2e6ull << 10, 0x2e7ull << 10, + 0x2e8ull << 10, 0x2e9ull << 10, + 0x2f0ull << 10, 0x2f1ull << 10, 0x2f2ull << 10, 0x2f3ull << 10, + 0x2f4ull << 10, 0x2f5ull << 10, 0x2f6ull << 10, 0x2f7ull << 10, + 0x2f8ull << 10, 0x2f9ull << 10, + 0x28aull << 10, 0x28bull << 10, 0x2aaull << 10, 0x2abull << 10, + 0x2caull << 10, 0x2cbull << 10, 0x2eaull << 10, 0x2ebull << 10, + 0x2ceull << 10, 0x2cfull << 10, + 0x29aull << 10, 0x29bull << 10, 0x2baull << 10, 0x2bbull << 10, + 0x2daull << 10, 0x2dbull << 10, 0x2faull << 10, 0x2fbull << 10, + 0x2deull << 10, 0x2dfull << 10, + 0x300ull << 10, 0x301ull << 10, 0x302ull << 10, 0x303ull << 10, + 0x304ull << 10, 0x305ull << 10, 0x306ull << 10, 0x307ull << 10, + 0x308ull << 10, 0x309ull << 10, + 0x310ull << 10, 0x311ull << 10, 0x312ull << 10, 0x313ull << 10, + 0x314ull << 10, 0x315ull << 10, 0x316ull << 10, 0x317ull << 10, + 0x318ull << 10, 0x319ull << 10, + 0x320ull << 10, 0x321ull << 10, 0x322ull << 10, 0x323ull << 10, + 0x324ull << 10, 0x325ull << 10, 0x326ull << 10, 0x327ull << 10, + 0x328ull << 10, 0x329ull << 10, + 0x330ull << 10, 0x331ull << 10, 0x332ull << 10, 0x333ull << 10, + 0x334ull << 10, 0x335ull << 10, 0x336ull << 10, 0x337ull << 10, + 0x338ull << 10, 0x339ull << 10, + 0x340ull << 10, 0x341ull << 10, 0x342ull << 10, 0x343ull << 10, + 0x344ull << 10, 0x345ull << 10, 0x346ull << 10, 0x347ull << 10, + 0x348ull << 10, 0x349ull << 10, + 0x350ull << 10, 0x351ull << 10, 0x352ull << 10, 0x353ull << 10, + 0x354ull << 10, 0x355ull << 10, 0x356ull << 10, 0x357ull << 10, + 0x358ull << 10, 0x359ull << 10, + 0x360ull << 10, 0x361ull << 10, 0x362ull << 10, 0x363ull << 10, + 0x364ull << 10, 0x365ull << 10, 0x366ull << 10, 0x367ull << 10, + 0x368ull << 10, 0x369ull << 10, + 0x370ull << 10, 0x371ull << 10, 0x372ull << 10, 0x373ull << 10, + 0x374ull << 10, 0x375ull << 10, 0x376ull << 10, 0x377ull << 10, + 0x378ull << 10, 0x379ull << 10, + 0x30aull << 10, 0x30bull << 10, 0x32aull << 10, 0x32bull << 10, + 0x34aull << 10, 0x34bull << 10, 0x36aull << 10, 0x36bull << 10, + 0x34eull << 10, 0x34full << 10, + 0x31aull << 10, 0x31bull << 10, 0x33aull << 10, 0x33bull << 10, + 0x35aull << 10, 0x35bull << 10, 0x37aull << 10, 0x37bull << 10, + 0x35eull << 10, 0x35full << 10, + 0x380ull << 10, 0x381ull << 10, 0x382ull << 10, 0x383ull << 10, + 0x384ull << 10, 0x385ull << 10, 0x386ull << 10, 0x387ull << 10, + 0x388ull << 10, 0x389ull << 10, + 0x390ull << 10, 0x391ull << 10, 0x392ull << 10, 0x393ull << 10, + 0x394ull << 10, 0x395ull << 10, 0x396ull << 10, 0x397ull << 10, + 0x398ull << 10, 0x399ull << 10, + 0x3a0ull << 10, 0x3a1ull << 10, 0x3a2ull << 10, 0x3a3ull << 10, + 0x3a4ull << 10, 0x3a5ull << 10, 0x3a6ull << 10, 0x3a7ull << 10, + 0x3a8ull << 10, 0x3a9ull << 10, + 0x3b0ull << 10, 0x3b1ull << 10, 0x3b2ull << 10, 0x3b3ull << 10, + 0x3b4ull << 10, 0x3b5ull << 10, 0x3b6ull << 10, 0x3b7ull << 10, + 0x3b8ull << 10, 0x3b9ull << 10, + 0x3c0ull << 10, 0x3c1ull << 10, 0x3c2ull << 10, 0x3c3ull << 10, + 0x3c4ull << 10, 0x3c5ull << 10, 0x3c6ull << 10, 0x3c7ull << 10, + 0x3c8ull << 10, 0x3c9ull << 10, + 0x3d0ull << 10, 0x3d1ull << 10, 0x3d2ull << 10, 0x3d3ull << 10, + 0x3d4ull << 10, 0x3d5ull << 10, 0x3d6ull << 10, 0x3d7ull << 10, + 0x3d8ull << 10, 0x3d9ull << 10, + 0x3e0ull << 10, 0x3e1ull << 10, 0x3e2ull << 10, 0x3e3ull << 10, + 0x3e4ull << 10, 0x3e5ull << 10, 0x3e6ull << 10, 0x3e7ull << 10, + 0x3e8ull << 10, 0x3e9ull << 10, + 0x3f0ull << 10, 0x3f1ull << 10, 0x3f2ull << 10, 0x3f3ull << 10, + 0x3f4ull << 10, 0x3f5ull << 10, 0x3f6ull << 10, 0x3f7ull << 10, + 0x3f8ull << 10, 0x3f9ull << 10, + 0x38aull << 10, 0x38bull << 10, 0x3aaull << 10, 0x3abull << 10, + 0x3caull << 10, 0x3cbull << 10, 0x3eaull << 10, 0x3ebull << 10, + 0x3ceull << 10, 0x3cfull << 10, + 0x39aull << 10, 0x39bull << 10, 0x3baull << 10, 0x3bbull << 10, + 0x3daull << 10, 0x3dbull << 10, 0x3faull << 10, 0x3fbull << 10, + 0x3deull << 10, 0x3dfull << 10, + 0x00cull << 10, 0x00dull << 10, 0x10cull << 10, 0x10dull << 10, + 0x20cull << 10, 0x20dull << 10, 0x30cull << 10, 0x30dull << 10, + 0x02eull << 10, 0x02full << 10, + 0x01cull << 10, 0x01dull << 10, 0x11cull << 10, 0x11dull << 10, + 0x21cull << 10, 0x21dull << 10, 0x31cull << 10, 0x31dull << 10, + 0x03eull << 10, 0x03full << 10, + 0x02cull << 10, 0x02dull << 10, 0x12cull << 10, 0x12dull << 10, + 0x22cull << 10, 0x22dull << 10, 0x32cull << 10, 0x32dull << 10, + 0x12eull << 10, 0x12full << 10, + 0x03cull << 10, 0x03dull << 10, 0x13cull << 10, 0x13dull << 10, + 0x23cull << 10, 0x23dull << 10, 0x33cull << 10, 0x33dull << 10, + 0x13eull << 10, 0x13full << 10, + 0x04cull << 10, 0x04dull << 10, 0x14cull << 10, 0x14dull << 10, + 0x24cull << 10, 0x24dull << 10, 0x34cull << 10, 0x34dull << 10, + 0x22eull << 10, 0x22full << 10, + 0x05cull << 10, 0x05dull << 10, 0x15cull << 10, 0x15dull << 10, + 0x25cull << 10, 0x25dull << 10, 0x35cull << 10, 0x35dull << 10, + 0x23eull << 10, 0x23full << 10, + 0x06cull << 10, 0x06dull << 10, 0x16cull << 10, 0x16dull << 10, + 0x26cull << 10, 0x26dull << 10, 0x36cull << 10, 0x36dull << 10, + 0x32eull << 10, 0x32full << 10, + 0x07cull << 10, 0x07dull << 10, 0x17cull << 10, 0x17dull << 10, + 0x27cull << 10, 0x27dull << 10, 0x37cull << 10, 0x37dull << 10, + 0x33eull << 10, 0x33full << 10, + 0x00eull << 10, 0x00full << 10, 0x10eull << 10, 0x10full << 10, + 0x20eull << 10, 0x20full << 10, 0x30eull << 10, 0x30full << 10, + 0x06eull << 10, 0x06full << 10, + 0x01eull << 10, 0x01full << 10, 0x11eull << 10, 0x11full << 10, + 0x21eull << 10, 0x21full << 10, 0x31eull << 10, 0x31full << 10, + 0x07eull << 10, 0x07full << 10, + 0x08cull << 10, 0x08dull << 10, 0x18cull << 10, 0x18dull << 10, + 0x28cull << 10, 0x28dull << 10, 0x38cull << 10, 0x38dull << 10, + 0x0aeull << 10, 0x0afull << 10, + 0x09cull << 10, 0x09dull << 10, 0x19cull << 10, 0x19dull << 10, + 0x29cull << 10, 0x29dull << 10, 0x39cull << 10, 0x39dull << 10, + 0x0beull << 10, 0x0bfull << 10, + 0x0acull << 10, 0x0adull << 10, 0x1acull << 10, 0x1adull << 10, + 0x2acull << 10, 0x2adull << 10, 0x3acull << 10, 0x3adull << 10, + 0x1aeull << 10, 0x1afull << 10, + 0x0bcull << 10, 0x0bdull << 10, 0x1bcull << 10, 0x1bdull << 10, + 0x2bcull << 10, 0x2bdull << 10, 0x3bcull << 10, 0x3bdull << 10, + 0x1beull << 10, 0x1bfull << 10, + 0x0ccull << 10, 0x0cdull << 10, 0x1ccull << 10, 0x1cdull << 10, + 0x2ccull << 10, 0x2cdull << 10, 0x3ccull << 10, 0x3cdull << 10, + 0x2aeull << 10, 0x2afull << 10, + 0x0dcull << 10, 0x0ddull << 10, 0x1dcull << 10, 0x1ddull << 10, + 0x2dcull << 10, 0x2ddull << 10, 0x3dcull << 10, 0x3ddull << 10, + 0x2beull << 10, 0x2bfull << 10, + 0x0ecull << 10, 0x0edull << 10, 0x1ecull << 10, 0x1edull << 10, + 0x2ecull << 10, 0x2edull << 10, 0x3ecull << 10, 0x3edull << 10, + 0x3aeull << 10, 0x3afull << 10, + 0x0fcull << 10, 0x0fdull << 10, 0x1fcull << 10, 0x1fdull << 10, + 0x2fcull << 10, 0x2fdull << 10, 0x3fcull << 10, 0x3fdull << 10, + 0x3beull << 10, 0x3bfull << 10, + 0x08eull << 10, 0x08full << 10, 0x18eull << 10, 0x18full << 10, + 0x28eull << 10, 0x28full << 10, 0x38eull << 10, 0x38full << 10, + 0x0eeull << 10, 0x0efull << 10, + 0x09eull << 10, 0x09full << 10, 0x19eull << 10, 0x19full << 10, + 0x29eull << 10, 0x29full << 10, 0x39eull << 10, 0x39full << 10, + 0x0feull << 10, 0x0ffull << 10 +}; + +const UINT64 b2d3[] = + { 0x000ull << 20, 0x001ull << 20, 0x002ull << 20, 0x003ull << 20, + 0x004ull << 20, 0x005ull << 20, 0x006ull << 20, 0x007ull << 20, + 0x008ull << 20, + 0x009ull << 20, + 0x010ull << 20, 0x011ull << 20, 0x012ull << 20, 0x013ull << 20, + 0x014ull << 20, 0x015ull << 20, 0x016ull << 20, 0x017ull << 20, + 0x018ull << 20, 0x019ull << 20, + 0x020ull << 20, 0x021ull << 20, 0x022ull << 20, 0x023ull << 20, + 0x024ull << 20, 0x025ull << 20, 0x026ull << 20, 0x027ull << 20, + 0x028ull << 20, 0x029ull << 20, + 0x030ull << 20, 0x031ull << 20, 0x032ull << 20, 0x033ull << 20, + 0x034ull << 20, 0x035ull << 20, 0x036ull << 20, 0x037ull << 20, + 0x038ull << 20, 0x039ull << 20, + 0x040ull << 20, 0x041ull << 20, 0x042ull << 20, 0x043ull << 20, + 0x044ull << 20, 0x045ull << 20, 0x046ull << 20, 0x047ull << 20, + 0x048ull << 20, 0x049ull << 20, + 0x050ull << 20, 0x051ull << 20, 0x052ull << 20, 0x053ull << 20, + 0x054ull << 20, 0x055ull << 20, 0x056ull << 20, 0x057ull << 20, + 0x058ull << 20, 0x059ull << 20, + 0x060ull << 20, 0x061ull << 20, 0x062ull << 20, 0x063ull << 20, + 0x064ull << 20, 0x065ull << 20, 0x066ull << 20, 0x067ull << 20, + 0x068ull << 20, 0x069ull << 20, + 0x070ull << 20, 0x071ull << 20, 0x072ull << 20, 0x073ull << 20, + 0x074ull << 20, 0x075ull << 20, 0x076ull << 20, 0x077ull << 20, + 0x078ull << 20, 0x079ull << 20, + 0x00aull << 20, 0x00bull << 20, 0x02aull << 20, 0x02bull << 20, + 0x04aull << 20, 0x04bull << 20, 0x06aull << 20, 0x06bull << 20, + 0x04eull << 20, 0x04full << 20, + 0x01aull << 20, 0x01bull << 20, 0x03aull << 20, 0x03bull << 20, + 0x05aull << 20, 0x05bull << 20, 0x07aull << 20, 0x07bull << 20, + 0x05eull << 20, 0x05full << 20, + 0x080ull << 20, 0x081ull << 20, 0x082ull << 20, 0x083ull << 20, + 0x084ull << 20, 0x085ull << 20, 0x086ull << 20, 0x087ull << 20, + 0x088ull << 20, 0x089ull << 20, + 0x090ull << 20, 0x091ull << 20, 0x092ull << 20, 0x093ull << 20, + 0x094ull << 20, 0x095ull << 20, 0x096ull << 20, 0x097ull << 20, + 0x098ull << 20, 0x099ull << 20, + 0x0a0ull << 20, 0x0a1ull << 20, 0x0a2ull << 20, 0x0a3ull << 20, + 0x0a4ull << 20, 0x0a5ull << 20, 0x0a6ull << 20, 0x0a7ull << 20, + 0x0a8ull << 20, 0x0a9ull << 20, + 0x0b0ull << 20, 0x0b1ull << 20, 0x0b2ull << 20, 0x0b3ull << 20, + 0x0b4ull << 20, 0x0b5ull << 20, 0x0b6ull << 20, 0x0b7ull << 20, + 0x0b8ull << 20, 0x0b9ull << 20, + 0x0c0ull << 20, 0x0c1ull << 20, 0x0c2ull << 20, 0x0c3ull << 20, + 0x0c4ull << 20, 0x0c5ull << 20, 0x0c6ull << 20, 0x0c7ull << 20, + 0x0c8ull << 20, 0x0c9ull << 20, + 0x0d0ull << 20, 0x0d1ull << 20, 0x0d2ull << 20, 0x0d3ull << 20, + 0x0d4ull << 20, 0x0d5ull << 20, 0x0d6ull << 20, 0x0d7ull << 20, + 0x0d8ull << 20, 0x0d9ull << 20, + 0x0e0ull << 20, 0x0e1ull << 20, 0x0e2ull << 20, 0x0e3ull << 20, + 0x0e4ull << 20, 0x0e5ull << 20, 0x0e6ull << 20, 0x0e7ull << 20, + 0x0e8ull << 20, 0x0e9ull << 20, + 0x0f0ull << 20, 0x0f1ull << 20, 0x0f2ull << 20, 0x0f3ull << 20, + 0x0f4ull << 20, 0x0f5ull << 20, 0x0f6ull << 20, 0x0f7ull << 20, + 0x0f8ull << 20, 0x0f9ull << 20, + 0x08aull << 20, 0x08bull << 20, 0x0aaull << 20, 0x0abull << 20, + 0x0caull << 20, 0x0cbull << 20, 0x0eaull << 20, 0x0ebull << 20, + 0x0ceull << 20, 0x0cfull << 20, + 0x09aull << 20, 0x09bull << 20, 0x0baull << 20, 0x0bbull << 20, + 0x0daull << 20, 0x0dbull << 20, 0x0faull << 20, 0x0fbull << 20, + 0x0deull << 20, 0x0dfull << 20, + 0x100ull << 20, 0x101ull << 20, 0x102ull << 20, 0x103ull << 20, + 0x104ull << 20, 0x105ull << 20, 0x106ull << 20, 0x107ull << 20, + 0x108ull << 20, 0x109ull << 20, + 0x110ull << 20, 0x111ull << 20, 0x112ull << 20, 0x113ull << 20, + 0x114ull << 20, 0x115ull << 20, 0x116ull << 20, 0x117ull << 20, + 0x118ull << 20, 0x119ull << 20, + 0x120ull << 20, 0x121ull << 20, 0x122ull << 20, 0x123ull << 20, + 0x124ull << 20, 0x125ull << 20, 0x126ull << 20, 0x127ull << 20, + 0x128ull << 20, 0x129ull << 20, + 0x130ull << 20, 0x131ull << 20, 0x132ull << 20, 0x133ull << 20, + 0x134ull << 20, 0x135ull << 20, 0x136ull << 20, 0x137ull << 20, + 0x138ull << 20, 0x139ull << 20, + 0x140ull << 20, 0x141ull << 20, 0x142ull << 20, 0x143ull << 20, + 0x144ull << 20, 0x145ull << 20, 0x146ull << 20, 0x147ull << 20, + 0x148ull << 20, 0x149ull << 20, + 0x150ull << 20, 0x151ull << 20, 0x152ull << 20, 0x153ull << 20, + 0x154ull << 20, 0x155ull << 20, 0x156ull << 20, 0x157ull << 20, + 0x158ull << 20, 0x159ull << 20, + 0x160ull << 20, 0x161ull << 20, 0x162ull << 20, 0x163ull << 20, + 0x164ull << 20, 0x165ull << 20, 0x166ull << 20, 0x167ull << 20, + 0x168ull << 20, 0x169ull << 20, + 0x170ull << 20, 0x171ull << 20, 0x172ull << 20, 0x173ull << 20, + 0x174ull << 20, 0x175ull << 20, 0x176ull << 20, 0x177ull << 20, + 0x178ull << 20, 0x179ull << 20, + 0x10aull << 20, 0x10bull << 20, 0x12aull << 20, 0x12bull << 20, + 0x14aull << 20, 0x14bull << 20, 0x16aull << 20, 0x16bull << 20, + 0x14eull << 20, 0x14full << 20, + 0x11aull << 20, 0x11bull << 20, 0x13aull << 20, 0x13bull << 20, + 0x15aull << 20, 0x15bull << 20, 0x17aull << 20, 0x17bull << 20, + 0x15eull << 20, 0x15full << 20, + 0x180ull << 20, 0x181ull << 20, 0x182ull << 20, 0x183ull << 20, + 0x184ull << 20, 0x185ull << 20, 0x186ull << 20, 0x187ull << 20, + 0x188ull << 20, 0x189ull << 20, + 0x190ull << 20, 0x191ull << 20, 0x192ull << 20, 0x193ull << 20, + 0x194ull << 20, 0x195ull << 20, 0x196ull << 20, 0x197ull << 20, + 0x198ull << 20, 0x199ull << 20, + 0x1a0ull << 20, 0x1a1ull << 20, 0x1a2ull << 20, 0x1a3ull << 20, + 0x1a4ull << 20, 0x1a5ull << 20, 0x1a6ull << 20, 0x1a7ull << 20, + 0x1a8ull << 20, 0x1a9ull << 20, + 0x1b0ull << 20, 0x1b1ull << 20, 0x1b2ull << 20, 0x1b3ull << 20, + 0x1b4ull << 20, 0x1b5ull << 20, 0x1b6ull << 20, 0x1b7ull << 20, + 0x1b8ull << 20, 0x1b9ull << 20, + 0x1c0ull << 20, 0x1c1ull << 20, 0x1c2ull << 20, 0x1c3ull << 20, + 0x1c4ull << 20, 0x1c5ull << 20, 0x1c6ull << 20, 0x1c7ull << 20, + 0x1c8ull << 20, 0x1c9ull << 20, + 0x1d0ull << 20, 0x1d1ull << 20, 0x1d2ull << 20, 0x1d3ull << 20, + 0x1d4ull << 20, 0x1d5ull << 20, 0x1d6ull << 20, 0x1d7ull << 20, + 0x1d8ull << 20, 0x1d9ull << 20, + 0x1e0ull << 20, 0x1e1ull << 20, 0x1e2ull << 20, 0x1e3ull << 20, + 0x1e4ull << 20, 0x1e5ull << 20, 0x1e6ull << 20, 0x1e7ull << 20, + 0x1e8ull << 20, 0x1e9ull << 20, + 0x1f0ull << 20, 0x1f1ull << 20, 0x1f2ull << 20, 0x1f3ull << 20, + 0x1f4ull << 20, 0x1f5ull << 20, 0x1f6ull << 20, 0x1f7ull << 20, + 0x1f8ull << 20, 0x1f9ull << 20, + 0x18aull << 20, 0x18bull << 20, 0x1aaull << 20, 0x1abull << 20, + 0x1caull << 20, 0x1cbull << 20, 0x1eaull << 20, 0x1ebull << 20, + 0x1ceull << 20, 0x1cfull << 20, + 0x19aull << 20, 0x19bull << 20, 0x1baull << 20, 0x1bbull << 20, + 0x1daull << 20, 0x1dbull << 20, 0x1faull << 20, 0x1fbull << 20, + 0x1deull << 20, 0x1dfull << 20, + 0x200ull << 20, 0x201ull << 20, 0x202ull << 20, 0x203ull << 20, + 0x204ull << 20, 0x205ull << 20, 0x206ull << 20, 0x207ull << 20, + 0x208ull << 20, 0x209ull << 20, + 0x210ull << 20, 0x211ull << 20, 0x212ull << 20, 0x213ull << 20, + 0x214ull << 20, 0x215ull << 20, 0x216ull << 20, 0x217ull << 20, + 0x218ull << 20, 0x219ull << 20, + 0x220ull << 20, 0x221ull << 20, 0x222ull << 20, 0x223ull << 20, + 0x224ull << 20, 0x225ull << 20, 0x226ull << 20, 0x227ull << 20, + 0x228ull << 20, 0x229ull << 20, + 0x230ull << 20, 0x231ull << 20, 0x232ull << 20, 0x233ull << 20, + 0x234ull << 20, 0x235ull << 20, 0x236ull << 20, 0x237ull << 20, + 0x238ull << 20, 0x239ull << 20, + 0x240ull << 20, 0x241ull << 20, 0x242ull << 20, 0x243ull << 20, + 0x244ull << 20, 0x245ull << 20, 0x246ull << 20, 0x247ull << 20, + 0x248ull << 20, 0x249ull << 20, + 0x250ull << 20, 0x251ull << 20, 0x252ull << 20, 0x253ull << 20, + 0x254ull << 20, 0x255ull << 20, 0x256ull << 20, 0x257ull << 20, + 0x258ull << 20, 0x259ull << 20, + 0x260ull << 20, 0x261ull << 20, 0x262ull << 20, 0x263ull << 20, + 0x264ull << 20, 0x265ull << 20, 0x266ull << 20, 0x267ull << 20, + 0x268ull << 20, 0x269ull << 20, + 0x270ull << 20, 0x271ull << 20, 0x272ull << 20, 0x273ull << 20, + 0x274ull << 20, 0x275ull << 20, 0x276ull << 20, 0x277ull << 20, + 0x278ull << 20, 0x279ull << 20, + 0x20aull << 20, 0x20bull << 20, 0x22aull << 20, 0x22bull << 20, + 0x24aull << 20, 0x24bull << 20, 0x26aull << 20, 0x26bull << 20, + 0x24eull << 20, 0x24full << 20, + 0x21aull << 20, 0x21bull << 20, 0x23aull << 20, 0x23bull << 20, + 0x25aull << 20, 0x25bull << 20, 0x27aull << 20, 0x27bull << 20, + 0x25eull << 20, 0x25full << 20, + 0x280ull << 20, 0x281ull << 20, 0x282ull << 20, 0x283ull << 20, + 0x284ull << 20, 0x285ull << 20, 0x286ull << 20, 0x287ull << 20, + 0x288ull << 20, 0x289ull << 20, + 0x290ull << 20, 0x291ull << 20, 0x292ull << 20, 0x293ull << 20, + 0x294ull << 20, 0x295ull << 20, 0x296ull << 20, 0x297ull << 20, + 0x298ull << 20, 0x299ull << 20, + 0x2a0ull << 20, 0x2a1ull << 20, 0x2a2ull << 20, 0x2a3ull << 20, + 0x2a4ull << 20, 0x2a5ull << 20, 0x2a6ull << 20, 0x2a7ull << 20, + 0x2a8ull << 20, 0x2a9ull << 20, + 0x2b0ull << 20, 0x2b1ull << 20, 0x2b2ull << 20, 0x2b3ull << 20, + 0x2b4ull << 20, 0x2b5ull << 20, 0x2b6ull << 20, 0x2b7ull << 20, + 0x2b8ull << 20, 0x2b9ull << 20, + 0x2c0ull << 20, 0x2c1ull << 20, 0x2c2ull << 20, 0x2c3ull << 20, + 0x2c4ull << 20, 0x2c5ull << 20, 0x2c6ull << 20, 0x2c7ull << 20, + 0x2c8ull << 20, 0x2c9ull << 20, + 0x2d0ull << 20, 0x2d1ull << 20, 0x2d2ull << 20, 0x2d3ull << 20, + 0x2d4ull << 20, 0x2d5ull << 20, 0x2d6ull << 20, 0x2d7ull << 20, + 0x2d8ull << 20, 0x2d9ull << 20, + 0x2e0ull << 20, 0x2e1ull << 20, 0x2e2ull << 20, 0x2e3ull << 20, + 0x2e4ull << 20, 0x2e5ull << 20, 0x2e6ull << 20, 0x2e7ull << 20, + 0x2e8ull << 20, 0x2e9ull << 20, + 0x2f0ull << 20, 0x2f1ull << 20, 0x2f2ull << 20, 0x2f3ull << 20, + 0x2f4ull << 20, 0x2f5ull << 20, 0x2f6ull << 20, 0x2f7ull << 20, + 0x2f8ull << 20, 0x2f9ull << 20, + 0x28aull << 20, 0x28bull << 20, 0x2aaull << 20, 0x2abull << 20, + 0x2caull << 20, 0x2cbull << 20, 0x2eaull << 20, 0x2ebull << 20, + 0x2ceull << 20, 0x2cfull << 20, + 0x29aull << 20, 0x29bull << 20, 0x2baull << 20, 0x2bbull << 20, + 0x2daull << 20, 0x2dbull << 20, 0x2faull << 20, 0x2fbull << 20, + 0x2deull << 20, 0x2dfull << 20, + 0x300ull << 20, 0x301ull << 20, 0x302ull << 20, 0x303ull << 20, + 0x304ull << 20, 0x305ull << 20, 0x306ull << 20, 0x307ull << 20, + 0x308ull << 20, 0x309ull << 20, + 0x310ull << 20, 0x311ull << 20, 0x312ull << 20, 0x313ull << 20, + 0x314ull << 20, 0x315ull << 20, 0x316ull << 20, 0x317ull << 20, + 0x318ull << 20, 0x319ull << 20, + 0x320ull << 20, 0x321ull << 20, 0x322ull << 20, 0x323ull << 20, + 0x324ull << 20, 0x325ull << 20, 0x326ull << 20, 0x327ull << 20, + 0x328ull << 20, 0x329ull << 20, + 0x330ull << 20, 0x331ull << 20, 0x332ull << 20, 0x333ull << 20, + 0x334ull << 20, 0x335ull << 20, 0x336ull << 20, 0x337ull << 20, + 0x338ull << 20, 0x339ull << 20, + 0x340ull << 20, 0x341ull << 20, 0x342ull << 20, 0x343ull << 20, + 0x344ull << 20, 0x345ull << 20, 0x346ull << 20, 0x347ull << 20, + 0x348ull << 20, 0x349ull << 20, + 0x350ull << 20, 0x351ull << 20, 0x352ull << 20, 0x353ull << 20, + 0x354ull << 20, 0x355ull << 20, 0x356ull << 20, 0x357ull << 20, + 0x358ull << 20, 0x359ull << 20, + 0x360ull << 20, 0x361ull << 20, 0x362ull << 20, 0x363ull << 20, + 0x364ull << 20, 0x365ull << 20, 0x366ull << 20, 0x367ull << 20, + 0x368ull << 20, 0x369ull << 20, + 0x370ull << 20, 0x371ull << 20, 0x372ull << 20, 0x373ull << 20, + 0x374ull << 20, 0x375ull << 20, 0x376ull << 20, 0x377ull << 20, + 0x378ull << 20, 0x379ull << 20, + 0x30aull << 20, 0x30bull << 20, 0x32aull << 20, 0x32bull << 20, + 0x34aull << 20, 0x34bull << 20, 0x36aull << 20, 0x36bull << 20, + 0x34eull << 20, 0x34full << 20, + 0x31aull << 20, 0x31bull << 20, 0x33aull << 20, 0x33bull << 20, + 0x35aull << 20, 0x35bull << 20, 0x37aull << 20, 0x37bull << 20, + 0x35eull << 20, 0x35full << 20, + 0x380ull << 20, 0x381ull << 20, 0x382ull << 20, 0x383ull << 20, + 0x384ull << 20, 0x385ull << 20, 0x386ull << 20, 0x387ull << 20, + 0x388ull << 20, 0x389ull << 20, + 0x390ull << 20, 0x391ull << 20, 0x392ull << 20, 0x393ull << 20, + 0x394ull << 20, 0x395ull << 20, 0x396ull << 20, 0x397ull << 20, + 0x398ull << 20, 0x399ull << 20, + 0x3a0ull << 20, 0x3a1ull << 20, 0x3a2ull << 20, 0x3a3ull << 20, + 0x3a4ull << 20, 0x3a5ull << 20, 0x3a6ull << 20, 0x3a7ull << 20, + 0x3a8ull << 20, 0x3a9ull << 20, + 0x3b0ull << 20, 0x3b1ull << 20, 0x3b2ull << 20, 0x3b3ull << 20, + 0x3b4ull << 20, 0x3b5ull << 20, 0x3b6ull << 20, 0x3b7ull << 20, + 0x3b8ull << 20, 0x3b9ull << 20, + 0x3c0ull << 20, 0x3c1ull << 20, 0x3c2ull << 20, 0x3c3ull << 20, + 0x3c4ull << 20, 0x3c5ull << 20, 0x3c6ull << 20, 0x3c7ull << 20, + 0x3c8ull << 20, 0x3c9ull << 20, + 0x3d0ull << 20, 0x3d1ull << 20, 0x3d2ull << 20, 0x3d3ull << 20, + 0x3d4ull << 20, 0x3d5ull << 20, 0x3d6ull << 20, 0x3d7ull << 20, + 0x3d8ull << 20, 0x3d9ull << 20, + 0x3e0ull << 20, 0x3e1ull << 20, 0x3e2ull << 20, 0x3e3ull << 20, + 0x3e4ull << 20, 0x3e5ull << 20, 0x3e6ull << 20, 0x3e7ull << 20, + 0x3e8ull << 20, 0x3e9ull << 20, + 0x3f0ull << 20, 0x3f1ull << 20, 0x3f2ull << 20, 0x3f3ull << 20, + 0x3f4ull << 20, 0x3f5ull << 20, 0x3f6ull << 20, 0x3f7ull << 20, + 0x3f8ull << 20, 0x3f9ull << 20, + 0x38aull << 20, 0x38bull << 20, 0x3aaull << 20, 0x3abull << 20, + 0x3caull << 20, 0x3cbull << 20, 0x3eaull << 20, 0x3ebull << 20, + 0x3ceull << 20, 0x3cfull << 20, + 0x39aull << 20, 0x39bull << 20, 0x3baull << 20, 0x3bbull << 20, + 0x3daull << 20, 0x3dbull << 20, 0x3faull << 20, 0x3fbull << 20, + 0x3deull << 20, 0x3dfull << 20, + 0x00cull << 20, 0x00dull << 20, 0x10cull << 20, 0x10dull << 20, + 0x20cull << 20, 0x20dull << 20, 0x30cull << 20, 0x30dull << 20, + 0x02eull << 20, 0x02full << 20, + 0x01cull << 20, 0x01dull << 20, 0x11cull << 20, 0x11dull << 20, + 0x21cull << 20, 0x21dull << 20, 0x31cull << 20, 0x31dull << 20, + 0x03eull << 20, 0x03full << 20, + 0x02cull << 20, 0x02dull << 20, 0x12cull << 20, 0x12dull << 20, + 0x22cull << 20, 0x22dull << 20, 0x32cull << 20, 0x32dull << 20, + 0x12eull << 20, 0x12full << 20, + 0x03cull << 20, 0x03dull << 20, 0x13cull << 20, 0x13dull << 20, + 0x23cull << 20, 0x23dull << 20, 0x33cull << 20, 0x33dull << 20, + 0x13eull << 20, 0x13full << 20, + 0x04cull << 20, 0x04dull << 20, 0x14cull << 20, 0x14dull << 20, + 0x24cull << 20, 0x24dull << 20, 0x34cull << 20, 0x34dull << 20, + 0x22eull << 20, 0x22full << 20, + 0x05cull << 20, 0x05dull << 20, 0x15cull << 20, 0x15dull << 20, + 0x25cull << 20, 0x25dull << 20, 0x35cull << 20, 0x35dull << 20, + 0x23eull << 20, 0x23full << 20, + 0x06cull << 20, 0x06dull << 20, 0x16cull << 20, 0x16dull << 20, + 0x26cull << 20, 0x26dull << 20, 0x36cull << 20, 0x36dull << 20, + 0x32eull << 20, 0x32full << 20, + 0x07cull << 20, 0x07dull << 20, 0x17cull << 20, 0x17dull << 20, + 0x27cull << 20, 0x27dull << 20, 0x37cull << 20, 0x37dull << 20, + 0x33eull << 20, 0x33full << 20, + 0x00eull << 20, 0x00full << 20, 0x10eull << 20, 0x10full << 20, + 0x20eull << 20, 0x20full << 20, 0x30eull << 20, 0x30full << 20, + 0x06eull << 20, 0x06full << 20, + 0x01eull << 20, 0x01full << 20, 0x11eull << 20, 0x11full << 20, + 0x21eull << 20, 0x21full << 20, 0x31eull << 20, 0x31full << 20, + 0x07eull << 20, 0x07full << 20, + 0x08cull << 20, 0x08dull << 20, 0x18cull << 20, 0x18dull << 20, + 0x28cull << 20, 0x28dull << 20, 0x38cull << 20, 0x38dull << 20, + 0x0aeull << 20, 0x0afull << 20, + 0x09cull << 20, 0x09dull << 20, 0x19cull << 20, 0x19dull << 20, + 0x29cull << 20, 0x29dull << 20, 0x39cull << 20, 0x39dull << 20, + 0x0beull << 20, 0x0bfull << 20, + 0x0acull << 20, 0x0adull << 20, 0x1acull << 20, 0x1adull << 20, + 0x2acull << 20, 0x2adull << 20, 0x3acull << 20, 0x3adull << 20, + 0x1aeull << 20, 0x1afull << 20, + 0x0bcull << 20, 0x0bdull << 20, 0x1bcull << 20, 0x1bdull << 20, + 0x2bcull << 20, 0x2bdull << 20, 0x3bcull << 20, 0x3bdull << 20, + 0x1beull << 20, 0x1bfull << 20, + 0x0ccull << 20, 0x0cdull << 20, 0x1ccull << 20, 0x1cdull << 20, + 0x2ccull << 20, 0x2cdull << 20, 0x3ccull << 20, 0x3cdull << 20, + 0x2aeull << 20, 0x2afull << 20, + 0x0dcull << 20, 0x0ddull << 20, 0x1dcull << 20, 0x1ddull << 20, + 0x2dcull << 20, 0x2ddull << 20, 0x3dcull << 20, 0x3ddull << 20, + 0x2beull << 20, 0x2bfull << 20, + 0x0ecull << 20, 0x0edull << 20, 0x1ecull << 20, 0x1edull << 20, + 0x2ecull << 20, 0x2edull << 20, 0x3ecull << 20, 0x3edull << 20, + 0x3aeull << 20, 0x3afull << 20, + 0x0fcull << 20, 0x0fdull << 20, 0x1fcull << 20, 0x1fdull << 20, + 0x2fcull << 20, 0x2fdull << 20, 0x3fcull << 20, 0x3fdull << 20, + 0x3beull << 20, 0x3bfull << 20, + 0x08eull << 20, 0x08full << 20, 0x18eull << 20, 0x18full << 20, + 0x28eull << 20, 0x28full << 20, 0x38eull << 20, 0x38full << 20, + 0x0eeull << 20, 0x0efull << 20, + 0x09eull << 20, 0x09full << 20, 0x19eull << 20, 0x19full << 20, + 0x29eull << 20, 0x29full << 20, 0x39eull << 20, 0x39full << 20, + 0x0feull << 20, 0x0ffull << 20 +}; + +const UINT64 b2d4[] = + { 0x000ull << 30, 0x001ull << 30, 0x002ull << 30, 0x003ull << 30, + 0x004ull << 30, 0x005ull << 30, 0x006ull << 30, 0x007ull << 30, + 0x008ull << 30, + 0x009ull << 30, + 0x010ull << 30, 0x011ull << 30, 0x012ull << 30, 0x013ull << 30, + 0x014ull << 30, 0x015ull << 30, 0x016ull << 30, 0x017ull << 30, + 0x018ull << 30, 0x019ull << 30, + 0x020ull << 30, 0x021ull << 30, 0x022ull << 30, 0x023ull << 30, + 0x024ull << 30, 0x025ull << 30, 0x026ull << 30, 0x027ull << 30, + 0x028ull << 30, 0x029ull << 30, + 0x030ull << 30, 0x031ull << 30, 0x032ull << 30, 0x033ull << 30, + 0x034ull << 30, 0x035ull << 30, 0x036ull << 30, 0x037ull << 30, + 0x038ull << 30, 0x039ull << 30, + 0x040ull << 30, 0x041ull << 30, 0x042ull << 30, 0x043ull << 30, + 0x044ull << 30, 0x045ull << 30, 0x046ull << 30, 0x047ull << 30, + 0x048ull << 30, 0x049ull << 30, + 0x050ull << 30, 0x051ull << 30, 0x052ull << 30, 0x053ull << 30, + 0x054ull << 30, 0x055ull << 30, 0x056ull << 30, 0x057ull << 30, + 0x058ull << 30, 0x059ull << 30, + 0x060ull << 30, 0x061ull << 30, 0x062ull << 30, 0x063ull << 30, + 0x064ull << 30, 0x065ull << 30, 0x066ull << 30, 0x067ull << 30, + 0x068ull << 30, 0x069ull << 30, + 0x070ull << 30, 0x071ull << 30, 0x072ull << 30, 0x073ull << 30, + 0x074ull << 30, 0x075ull << 30, 0x076ull << 30, 0x077ull << 30, + 0x078ull << 30, 0x079ull << 30, + 0x00aull << 30, 0x00bull << 30, 0x02aull << 30, 0x02bull << 30, + 0x04aull << 30, 0x04bull << 30, 0x06aull << 30, 0x06bull << 30, + 0x04eull << 30, 0x04full << 30, + 0x01aull << 30, 0x01bull << 30, 0x03aull << 30, 0x03bull << 30, + 0x05aull << 30, 0x05bull << 30, 0x07aull << 30, 0x07bull << 30, + 0x05eull << 30, 0x05full << 30, + 0x080ull << 30, 0x081ull << 30, 0x082ull << 30, 0x083ull << 30, + 0x084ull << 30, 0x085ull << 30, 0x086ull << 30, 0x087ull << 30, + 0x088ull << 30, 0x089ull << 30, + 0x090ull << 30, 0x091ull << 30, 0x092ull << 30, 0x093ull << 30, + 0x094ull << 30, 0x095ull << 30, 0x096ull << 30, 0x097ull << 30, + 0x098ull << 30, 0x099ull << 30, + 0x0a0ull << 30, 0x0a1ull << 30, 0x0a2ull << 30, 0x0a3ull << 30, + 0x0a4ull << 30, 0x0a5ull << 30, 0x0a6ull << 30, 0x0a7ull << 30, + 0x0a8ull << 30, 0x0a9ull << 30, + 0x0b0ull << 30, 0x0b1ull << 30, 0x0b2ull << 30, 0x0b3ull << 30, + 0x0b4ull << 30, 0x0b5ull << 30, 0x0b6ull << 30, 0x0b7ull << 30, + 0x0b8ull << 30, 0x0b9ull << 30, + 0x0c0ull << 30, 0x0c1ull << 30, 0x0c2ull << 30, 0x0c3ull << 30, + 0x0c4ull << 30, 0x0c5ull << 30, 0x0c6ull << 30, 0x0c7ull << 30, + 0x0c8ull << 30, 0x0c9ull << 30, + 0x0d0ull << 30, 0x0d1ull << 30, 0x0d2ull << 30, 0x0d3ull << 30, + 0x0d4ull << 30, 0x0d5ull << 30, 0x0d6ull << 30, 0x0d7ull << 30, + 0x0d8ull << 30, 0x0d9ull << 30, + 0x0e0ull << 30, 0x0e1ull << 30, 0x0e2ull << 30, 0x0e3ull << 30, + 0x0e4ull << 30, 0x0e5ull << 30, 0x0e6ull << 30, 0x0e7ull << 30, + 0x0e8ull << 30, 0x0e9ull << 30, + 0x0f0ull << 30, 0x0f1ull << 30, 0x0f2ull << 30, 0x0f3ull << 30, + 0x0f4ull << 30, 0x0f5ull << 30, 0x0f6ull << 30, 0x0f7ull << 30, + 0x0f8ull << 30, 0x0f9ull << 30, + 0x08aull << 30, 0x08bull << 30, 0x0aaull << 30, 0x0abull << 30, + 0x0caull << 30, 0x0cbull << 30, 0x0eaull << 30, 0x0ebull << 30, + 0x0ceull << 30, 0x0cfull << 30, + 0x09aull << 30, 0x09bull << 30, 0x0baull << 30, 0x0bbull << 30, + 0x0daull << 30, 0x0dbull << 30, 0x0faull << 30, 0x0fbull << 30, + 0x0deull << 30, 0x0dfull << 30, + 0x100ull << 30, 0x101ull << 30, 0x102ull << 30, 0x103ull << 30, + 0x104ull << 30, 0x105ull << 30, 0x106ull << 30, 0x107ull << 30, + 0x108ull << 30, 0x109ull << 30, + 0x110ull << 30, 0x111ull << 30, 0x112ull << 30, 0x113ull << 30, + 0x114ull << 30, 0x115ull << 30, 0x116ull << 30, 0x117ull << 30, + 0x118ull << 30, 0x119ull << 30, + 0x120ull << 30, 0x121ull << 30, 0x122ull << 30, 0x123ull << 30, + 0x124ull << 30, 0x125ull << 30, 0x126ull << 30, 0x127ull << 30, + 0x128ull << 30, 0x129ull << 30, + 0x130ull << 30, 0x131ull << 30, 0x132ull << 30, 0x133ull << 30, + 0x134ull << 30, 0x135ull << 30, 0x136ull << 30, 0x137ull << 30, + 0x138ull << 30, 0x139ull << 30, + 0x140ull << 30, 0x141ull << 30, 0x142ull << 30, 0x143ull << 30, + 0x144ull << 30, 0x145ull << 30, 0x146ull << 30, 0x147ull << 30, + 0x148ull << 30, 0x149ull << 30, + 0x150ull << 30, 0x151ull << 30, 0x152ull << 30, 0x153ull << 30, + 0x154ull << 30, 0x155ull << 30, 0x156ull << 30, 0x157ull << 30, + 0x158ull << 30, 0x159ull << 30, + 0x160ull << 30, 0x161ull << 30, 0x162ull << 30, 0x163ull << 30, + 0x164ull << 30, 0x165ull << 30, 0x166ull << 30, 0x167ull << 30, + 0x168ull << 30, 0x169ull << 30, + 0x170ull << 30, 0x171ull << 30, 0x172ull << 30, 0x173ull << 30, + 0x174ull << 30, 0x175ull << 30, 0x176ull << 30, 0x177ull << 30, + 0x178ull << 30, 0x179ull << 30, + 0x10aull << 30, 0x10bull << 30, 0x12aull << 30, 0x12bull << 30, + 0x14aull << 30, 0x14bull << 30, 0x16aull << 30, 0x16bull << 30, + 0x14eull << 30, 0x14full << 30, + 0x11aull << 30, 0x11bull << 30, 0x13aull << 30, 0x13bull << 30, + 0x15aull << 30, 0x15bull << 30, 0x17aull << 30, 0x17bull << 30, + 0x15eull << 30, 0x15full << 30, + 0x180ull << 30, 0x181ull << 30, 0x182ull << 30, 0x183ull << 30, + 0x184ull << 30, 0x185ull << 30, 0x186ull << 30, 0x187ull << 30, + 0x188ull << 30, 0x189ull << 30, + 0x190ull << 30, 0x191ull << 30, 0x192ull << 30, 0x193ull << 30, + 0x194ull << 30, 0x195ull << 30, 0x196ull << 30, 0x197ull << 30, + 0x198ull << 30, 0x199ull << 30, + 0x1a0ull << 30, 0x1a1ull << 30, 0x1a2ull << 30, 0x1a3ull << 30, + 0x1a4ull << 30, 0x1a5ull << 30, 0x1a6ull << 30, 0x1a7ull << 30, + 0x1a8ull << 30, 0x1a9ull << 30, + 0x1b0ull << 30, 0x1b1ull << 30, 0x1b2ull << 30, 0x1b3ull << 30, + 0x1b4ull << 30, 0x1b5ull << 30, 0x1b6ull << 30, 0x1b7ull << 30, + 0x1b8ull << 30, 0x1b9ull << 30, + 0x1c0ull << 30, 0x1c1ull << 30, 0x1c2ull << 30, 0x1c3ull << 30, + 0x1c4ull << 30, 0x1c5ull << 30, 0x1c6ull << 30, 0x1c7ull << 30, + 0x1c8ull << 30, 0x1c9ull << 30, + 0x1d0ull << 30, 0x1d1ull << 30, 0x1d2ull << 30, 0x1d3ull << 30, + 0x1d4ull << 30, 0x1d5ull << 30, 0x1d6ull << 30, 0x1d7ull << 30, + 0x1d8ull << 30, 0x1d9ull << 30, + 0x1e0ull << 30, 0x1e1ull << 30, 0x1e2ull << 30, 0x1e3ull << 30, + 0x1e4ull << 30, 0x1e5ull << 30, 0x1e6ull << 30, 0x1e7ull << 30, + 0x1e8ull << 30, 0x1e9ull << 30, + 0x1f0ull << 30, 0x1f1ull << 30, 0x1f2ull << 30, 0x1f3ull << 30, + 0x1f4ull << 30, 0x1f5ull << 30, 0x1f6ull << 30, 0x1f7ull << 30, + 0x1f8ull << 30, 0x1f9ull << 30, + 0x18aull << 30, 0x18bull << 30, 0x1aaull << 30, 0x1abull << 30, + 0x1caull << 30, 0x1cbull << 30, 0x1eaull << 30, 0x1ebull << 30, + 0x1ceull << 30, 0x1cfull << 30, + 0x19aull << 30, 0x19bull << 30, 0x1baull << 30, 0x1bbull << 30, + 0x1daull << 30, 0x1dbull << 30, 0x1faull << 30, 0x1fbull << 30, + 0x1deull << 30, 0x1dfull << 30, + 0x200ull << 30, 0x201ull << 30, 0x202ull << 30, 0x203ull << 30, + 0x204ull << 30, 0x205ull << 30, 0x206ull << 30, 0x207ull << 30, + 0x208ull << 30, 0x209ull << 30, + 0x210ull << 30, 0x211ull << 30, 0x212ull << 30, 0x213ull << 30, + 0x214ull << 30, 0x215ull << 30, 0x216ull << 30, 0x217ull << 30, + 0x218ull << 30, 0x219ull << 30, + 0x220ull << 30, 0x221ull << 30, 0x222ull << 30, 0x223ull << 30, + 0x224ull << 30, 0x225ull << 30, 0x226ull << 30, 0x227ull << 30, + 0x228ull << 30, 0x229ull << 30, + 0x230ull << 30, 0x231ull << 30, 0x232ull << 30, 0x233ull << 30, + 0x234ull << 30, 0x235ull << 30, 0x236ull << 30, 0x237ull << 30, + 0x238ull << 30, 0x239ull << 30, + 0x240ull << 30, 0x241ull << 30, 0x242ull << 30, 0x243ull << 30, + 0x244ull << 30, 0x245ull << 30, 0x246ull << 30, 0x247ull << 30, + 0x248ull << 30, 0x249ull << 30, + 0x250ull << 30, 0x251ull << 30, 0x252ull << 30, 0x253ull << 30, + 0x254ull << 30, 0x255ull << 30, 0x256ull << 30, 0x257ull << 30, + 0x258ull << 30, 0x259ull << 30, + 0x260ull << 30, 0x261ull << 30, 0x262ull << 30, 0x263ull << 30, + 0x264ull << 30, 0x265ull << 30, 0x266ull << 30, 0x267ull << 30, + 0x268ull << 30, 0x269ull << 30, + 0x270ull << 30, 0x271ull << 30, 0x272ull << 30, 0x273ull << 30, + 0x274ull << 30, 0x275ull << 30, 0x276ull << 30, 0x277ull << 30, + 0x278ull << 30, 0x279ull << 30, + 0x20aull << 30, 0x20bull << 30, 0x22aull << 30, 0x22bull << 30, + 0x24aull << 30, 0x24bull << 30, 0x26aull << 30, 0x26bull << 30, + 0x24eull << 30, 0x24full << 30, + 0x21aull << 30, 0x21bull << 30, 0x23aull << 30, 0x23bull << 30, + 0x25aull << 30, 0x25bull << 30, 0x27aull << 30, 0x27bull << 30, + 0x25eull << 30, 0x25full << 30, + 0x280ull << 30, 0x281ull << 30, 0x282ull << 30, 0x283ull << 30, + 0x284ull << 30, 0x285ull << 30, 0x286ull << 30, 0x287ull << 30, + 0x288ull << 30, 0x289ull << 30, + 0x290ull << 30, 0x291ull << 30, 0x292ull << 30, 0x293ull << 30, + 0x294ull << 30, 0x295ull << 30, 0x296ull << 30, 0x297ull << 30, + 0x298ull << 30, 0x299ull << 30, + 0x2a0ull << 30, 0x2a1ull << 30, 0x2a2ull << 30, 0x2a3ull << 30, + 0x2a4ull << 30, 0x2a5ull << 30, 0x2a6ull << 30, 0x2a7ull << 30, + 0x2a8ull << 30, 0x2a9ull << 30, + 0x2b0ull << 30, 0x2b1ull << 30, 0x2b2ull << 30, 0x2b3ull << 30, + 0x2b4ull << 30, 0x2b5ull << 30, 0x2b6ull << 30, 0x2b7ull << 30, + 0x2b8ull << 30, 0x2b9ull << 30, + 0x2c0ull << 30, 0x2c1ull << 30, 0x2c2ull << 30, 0x2c3ull << 30, + 0x2c4ull << 30, 0x2c5ull << 30, 0x2c6ull << 30, 0x2c7ull << 30, + 0x2c8ull << 30, 0x2c9ull << 30, + 0x2d0ull << 30, 0x2d1ull << 30, 0x2d2ull << 30, 0x2d3ull << 30, + 0x2d4ull << 30, 0x2d5ull << 30, 0x2d6ull << 30, 0x2d7ull << 30, + 0x2d8ull << 30, 0x2d9ull << 30, + 0x2e0ull << 30, 0x2e1ull << 30, 0x2e2ull << 30, 0x2e3ull << 30, + 0x2e4ull << 30, 0x2e5ull << 30, 0x2e6ull << 30, 0x2e7ull << 30, + 0x2e8ull << 30, 0x2e9ull << 30, + 0x2f0ull << 30, 0x2f1ull << 30, 0x2f2ull << 30, 0x2f3ull << 30, + 0x2f4ull << 30, 0x2f5ull << 30, 0x2f6ull << 30, 0x2f7ull << 30, + 0x2f8ull << 30, 0x2f9ull << 30, + 0x28aull << 30, 0x28bull << 30, 0x2aaull << 30, 0x2abull << 30, + 0x2caull << 30, 0x2cbull << 30, 0x2eaull << 30, 0x2ebull << 30, + 0x2ceull << 30, 0x2cfull << 30, + 0x29aull << 30, 0x29bull << 30, 0x2baull << 30, 0x2bbull << 30, + 0x2daull << 30, 0x2dbull << 30, 0x2faull << 30, 0x2fbull << 30, + 0x2deull << 30, 0x2dfull << 30, + 0x300ull << 30, 0x301ull << 30, 0x302ull << 30, 0x303ull << 30, + 0x304ull << 30, 0x305ull << 30, 0x306ull << 30, 0x307ull << 30, + 0x308ull << 30, 0x309ull << 30, + 0x310ull << 30, 0x311ull << 30, 0x312ull << 30, 0x313ull << 30, + 0x314ull << 30, 0x315ull << 30, 0x316ull << 30, 0x317ull << 30, + 0x318ull << 30, 0x319ull << 30, + 0x320ull << 30, 0x321ull << 30, 0x322ull << 30, 0x323ull << 30, + 0x324ull << 30, 0x325ull << 30, 0x326ull << 30, 0x327ull << 30, + 0x328ull << 30, 0x329ull << 30, + 0x330ull << 30, 0x331ull << 30, 0x332ull << 30, 0x333ull << 30, + 0x334ull << 30, 0x335ull << 30, 0x336ull << 30, 0x337ull << 30, + 0x338ull << 30, 0x339ull << 30, + 0x340ull << 30, 0x341ull << 30, 0x342ull << 30, 0x343ull << 30, + 0x344ull << 30, 0x345ull << 30, 0x346ull << 30, 0x347ull << 30, + 0x348ull << 30, 0x349ull << 30, + 0x350ull << 30, 0x351ull << 30, 0x352ull << 30, 0x353ull << 30, + 0x354ull << 30, 0x355ull << 30, 0x356ull << 30, 0x357ull << 30, + 0x358ull << 30, 0x359ull << 30, + 0x360ull << 30, 0x361ull << 30, 0x362ull << 30, 0x363ull << 30, + 0x364ull << 30, 0x365ull << 30, 0x366ull << 30, 0x367ull << 30, + 0x368ull << 30, 0x369ull << 30, + 0x370ull << 30, 0x371ull << 30, 0x372ull << 30, 0x373ull << 30, + 0x374ull << 30, 0x375ull << 30, 0x376ull << 30, 0x377ull << 30, + 0x378ull << 30, 0x379ull << 30, + 0x30aull << 30, 0x30bull << 30, 0x32aull << 30, 0x32bull << 30, + 0x34aull << 30, 0x34bull << 30, 0x36aull << 30, 0x36bull << 30, + 0x34eull << 30, 0x34full << 30, + 0x31aull << 30, 0x31bull << 30, 0x33aull << 30, 0x33bull << 30, + 0x35aull << 30, 0x35bull << 30, 0x37aull << 30, 0x37bull << 30, + 0x35eull << 30, 0x35full << 30, + 0x380ull << 30, 0x381ull << 30, 0x382ull << 30, 0x383ull << 30, + 0x384ull << 30, 0x385ull << 30, 0x386ull << 30, 0x387ull << 30, + 0x388ull << 30, 0x389ull << 30, + 0x390ull << 30, 0x391ull << 30, 0x392ull << 30, 0x393ull << 30, + 0x394ull << 30, 0x395ull << 30, 0x396ull << 30, 0x397ull << 30, + 0x398ull << 30, 0x399ull << 30, + 0x3a0ull << 30, 0x3a1ull << 30, 0x3a2ull << 30, 0x3a3ull << 30, + 0x3a4ull << 30, 0x3a5ull << 30, 0x3a6ull << 30, 0x3a7ull << 30, + 0x3a8ull << 30, 0x3a9ull << 30, + 0x3b0ull << 30, 0x3b1ull << 30, 0x3b2ull << 30, 0x3b3ull << 30, + 0x3b4ull << 30, 0x3b5ull << 30, 0x3b6ull << 30, 0x3b7ull << 30, + 0x3b8ull << 30, 0x3b9ull << 30, + 0x3c0ull << 30, 0x3c1ull << 30, 0x3c2ull << 30, 0x3c3ull << 30, + 0x3c4ull << 30, 0x3c5ull << 30, 0x3c6ull << 30, 0x3c7ull << 30, + 0x3c8ull << 30, 0x3c9ull << 30, + 0x3d0ull << 30, 0x3d1ull << 30, 0x3d2ull << 30, 0x3d3ull << 30, + 0x3d4ull << 30, 0x3d5ull << 30, 0x3d6ull << 30, 0x3d7ull << 30, + 0x3d8ull << 30, 0x3d9ull << 30, + 0x3e0ull << 30, 0x3e1ull << 30, 0x3e2ull << 30, 0x3e3ull << 30, + 0x3e4ull << 30, 0x3e5ull << 30, 0x3e6ull << 30, 0x3e7ull << 30, + 0x3e8ull << 30, 0x3e9ull << 30, + 0x3f0ull << 30, 0x3f1ull << 30, 0x3f2ull << 30, 0x3f3ull << 30, + 0x3f4ull << 30, 0x3f5ull << 30, 0x3f6ull << 30, 0x3f7ull << 30, + 0x3f8ull << 30, 0x3f9ull << 30, + 0x38aull << 30, 0x38bull << 30, 0x3aaull << 30, 0x3abull << 30, + 0x3caull << 30, 0x3cbull << 30, 0x3eaull << 30, 0x3ebull << 30, + 0x3ceull << 30, 0x3cfull << 30, + 0x39aull << 30, 0x39bull << 30, 0x3baull << 30, 0x3bbull << 30, + 0x3daull << 30, 0x3dbull << 30, 0x3faull << 30, 0x3fbull << 30, + 0x3deull << 30, 0x3dfull << 30, + 0x00cull << 30, 0x00dull << 30, 0x10cull << 30, 0x10dull << 30, + 0x20cull << 30, 0x20dull << 30, 0x30cull << 30, 0x30dull << 30, + 0x02eull << 30, 0x02full << 30, + 0x01cull << 30, 0x01dull << 30, 0x11cull << 30, 0x11dull << 30, + 0x21cull << 30, 0x21dull << 30, 0x31cull << 30, 0x31dull << 30, + 0x03eull << 30, 0x03full << 30, + 0x02cull << 30, 0x02dull << 30, 0x12cull << 30, 0x12dull << 30, + 0x22cull << 30, 0x22dull << 30, 0x32cull << 30, 0x32dull << 30, + 0x12eull << 30, 0x12full << 30, + 0x03cull << 30, 0x03dull << 30, 0x13cull << 30, 0x13dull << 30, + 0x23cull << 30, 0x23dull << 30, 0x33cull << 30, 0x33dull << 30, + 0x13eull << 30, 0x13full << 30, + 0x04cull << 30, 0x04dull << 30, 0x14cull << 30, 0x14dull << 30, + 0x24cull << 30, 0x24dull << 30, 0x34cull << 30, 0x34dull << 30, + 0x22eull << 30, 0x22full << 30, + 0x05cull << 30, 0x05dull << 30, 0x15cull << 30, 0x15dull << 30, + 0x25cull << 30, 0x25dull << 30, 0x35cull << 30, 0x35dull << 30, + 0x23eull << 30, 0x23full << 30, + 0x06cull << 30, 0x06dull << 30, 0x16cull << 30, 0x16dull << 30, + 0x26cull << 30, 0x26dull << 30, 0x36cull << 30, 0x36dull << 30, + 0x32eull << 30, 0x32full << 30, + 0x07cull << 30, 0x07dull << 30, 0x17cull << 30, 0x17dull << 30, + 0x27cull << 30, 0x27dull << 30, 0x37cull << 30, 0x37dull << 30, + 0x33eull << 30, 0x33full << 30, + 0x00eull << 30, 0x00full << 30, 0x10eull << 30, 0x10full << 30, + 0x20eull << 30, 0x20full << 30, 0x30eull << 30, 0x30full << 30, + 0x06eull << 30, 0x06full << 30, + 0x01eull << 30, 0x01full << 30, 0x11eull << 30, 0x11full << 30, + 0x21eull << 30, 0x21full << 30, 0x31eull << 30, 0x31full << 30, + 0x07eull << 30, 0x07full << 30, + 0x08cull << 30, 0x08dull << 30, 0x18cull << 30, 0x18dull << 30, + 0x28cull << 30, 0x28dull << 30, 0x38cull << 30, 0x38dull << 30, + 0x0aeull << 30, 0x0afull << 30, + 0x09cull << 30, 0x09dull << 30, 0x19cull << 30, 0x19dull << 30, + 0x29cull << 30, 0x29dull << 30, 0x39cull << 30, 0x39dull << 30, + 0x0beull << 30, 0x0bfull << 30, + 0x0acull << 30, 0x0adull << 30, 0x1acull << 30, 0x1adull << 30, + 0x2acull << 30, 0x2adull << 30, 0x3acull << 30, 0x3adull << 30, + 0x1aeull << 30, 0x1afull << 30, + 0x0bcull << 30, 0x0bdull << 30, 0x1bcull << 30, 0x1bdull << 30, + 0x2bcull << 30, 0x2bdull << 30, 0x3bcull << 30, 0x3bdull << 30, + 0x1beull << 30, 0x1bfull << 30, + 0x0ccull << 30, 0x0cdull << 30, 0x1ccull << 30, 0x1cdull << 30, + 0x2ccull << 30, 0x2cdull << 30, 0x3ccull << 30, 0x3cdull << 30, + 0x2aeull << 30, 0x2afull << 30, + 0x0dcull << 30, 0x0ddull << 30, 0x1dcull << 30, 0x1ddull << 30, + 0x2dcull << 30, 0x2ddull << 30, 0x3dcull << 30, 0x3ddull << 30, + 0x2beull << 30, 0x2bfull << 30, + 0x0ecull << 30, 0x0edull << 30, 0x1ecull << 30, 0x1edull << 30, + 0x2ecull << 30, 0x2edull << 30, 0x3ecull << 30, 0x3edull << 30, + 0x3aeull << 30, 0x3afull << 30, + 0x0fcull << 30, 0x0fdull << 30, 0x1fcull << 30, 0x1fdull << 30, + 0x2fcull << 30, 0x2fdull << 30, 0x3fcull << 30, 0x3fdull << 30, + 0x3beull << 30, 0x3bfull << 30, + 0x08eull << 30, 0x08full << 30, 0x18eull << 30, 0x18full << 30, + 0x28eull << 30, 0x28full << 30, 0x38eull << 30, 0x38full << 30, + 0x0eeull << 30, 0x0efull << 30, + 0x09eull << 30, 0x09full << 30, 0x19eull << 30, 0x19full << 30, + 0x29eull << 30, 0x29full << 30, 0x39eull << 30, 0x39full << 30, + 0x0feull << 30, 0x0ffull << 30 +}; + +const UINT64 b2d5[] = + { 0x000ull << 40, 0x001ull << 40, 0x002ull << 40, 0x003ull << 40, + 0x004ull << 40, 0x005ull << 40, 0x006ull << 40, 0x007ull << 40, + 0x008ull << 40, + 0x009ull << 40, + 0x010ull << 40, 0x011ull << 40, 0x012ull << 40, 0x013ull << 40, + 0x014ull << 40, 0x015ull << 40, 0x016ull << 40, 0x017ull << 40, + 0x018ull << 40, 0x019ull << 40, + 0x020ull << 40, 0x021ull << 40, 0x022ull << 40, 0x023ull << 40, + 0x024ull << 40, 0x025ull << 40, 0x026ull << 40, 0x027ull << 40, + 0x028ull << 40, 0x029ull << 40, + 0x030ull << 40, 0x031ull << 40, 0x032ull << 40, 0x033ull << 40, + 0x034ull << 40, 0x035ull << 40, 0x036ull << 40, 0x037ull << 40, + 0x038ull << 40, 0x039ull << 40, + 0x040ull << 40, 0x041ull << 40, 0x042ull << 40, 0x043ull << 40, + 0x044ull << 40, 0x045ull << 40, 0x046ull << 40, 0x047ull << 40, + 0x048ull << 40, 0x049ull << 40, + 0x050ull << 40, 0x051ull << 40, 0x052ull << 40, 0x053ull << 40, + 0x054ull << 40, 0x055ull << 40, 0x056ull << 40, 0x057ull << 40, + 0x058ull << 40, 0x059ull << 40, + 0x060ull << 40, 0x061ull << 40, 0x062ull << 40, 0x063ull << 40, + 0x064ull << 40, 0x065ull << 40, 0x066ull << 40, 0x067ull << 40, + 0x068ull << 40, 0x069ull << 40, + 0x070ull << 40, 0x071ull << 40, 0x072ull << 40, 0x073ull << 40, + 0x074ull << 40, 0x075ull << 40, 0x076ull << 40, 0x077ull << 40, + 0x078ull << 40, 0x079ull << 40, + 0x00aull << 40, 0x00bull << 40, 0x02aull << 40, 0x02bull << 40, + 0x04aull << 40, 0x04bull << 40, 0x06aull << 40, 0x06bull << 40, + 0x04eull << 40, 0x04full << 40, + 0x01aull << 40, 0x01bull << 40, 0x03aull << 40, 0x03bull << 40, + 0x05aull << 40, 0x05bull << 40, 0x07aull << 40, 0x07bull << 40, + 0x05eull << 40, 0x05full << 40, + 0x080ull << 40, 0x081ull << 40, 0x082ull << 40, 0x083ull << 40, + 0x084ull << 40, 0x085ull << 40, 0x086ull << 40, 0x087ull << 40, + 0x088ull << 40, 0x089ull << 40, + 0x090ull << 40, 0x091ull << 40, 0x092ull << 40, 0x093ull << 40, + 0x094ull << 40, 0x095ull << 40, 0x096ull << 40, 0x097ull << 40, + 0x098ull << 40, 0x099ull << 40, + 0x0a0ull << 40, 0x0a1ull << 40, 0x0a2ull << 40, 0x0a3ull << 40, + 0x0a4ull << 40, 0x0a5ull << 40, 0x0a6ull << 40, 0x0a7ull << 40, + 0x0a8ull << 40, 0x0a9ull << 40, + 0x0b0ull << 40, 0x0b1ull << 40, 0x0b2ull << 40, 0x0b3ull << 40, + 0x0b4ull << 40, 0x0b5ull << 40, 0x0b6ull << 40, 0x0b7ull << 40, + 0x0b8ull << 40, 0x0b9ull << 40, + 0x0c0ull << 40, 0x0c1ull << 40, 0x0c2ull << 40, 0x0c3ull << 40, + 0x0c4ull << 40, 0x0c5ull << 40, 0x0c6ull << 40, 0x0c7ull << 40, + 0x0c8ull << 40, 0x0c9ull << 40, + 0x0d0ull << 40, 0x0d1ull << 40, 0x0d2ull << 40, 0x0d3ull << 40, + 0x0d4ull << 40, 0x0d5ull << 40, 0x0d6ull << 40, 0x0d7ull << 40, + 0x0d8ull << 40, 0x0d9ull << 40, + 0x0e0ull << 40, 0x0e1ull << 40, 0x0e2ull << 40, 0x0e3ull << 40, + 0x0e4ull << 40, 0x0e5ull << 40, 0x0e6ull << 40, 0x0e7ull << 40, + 0x0e8ull << 40, 0x0e9ull << 40, + 0x0f0ull << 40, 0x0f1ull << 40, 0x0f2ull << 40, 0x0f3ull << 40, + 0x0f4ull << 40, 0x0f5ull << 40, 0x0f6ull << 40, 0x0f7ull << 40, + 0x0f8ull << 40, 0x0f9ull << 40, + 0x08aull << 40, 0x08bull << 40, 0x0aaull << 40, 0x0abull << 40, + 0x0caull << 40, 0x0cbull << 40, 0x0eaull << 40, 0x0ebull << 40, + 0x0ceull << 40, 0x0cfull << 40, + 0x09aull << 40, 0x09bull << 40, 0x0baull << 40, 0x0bbull << 40, + 0x0daull << 40, 0x0dbull << 40, 0x0faull << 40, 0x0fbull << 40, + 0x0deull << 40, 0x0dfull << 40, + 0x100ull << 40, 0x101ull << 40, 0x102ull << 40, 0x103ull << 40, + 0x104ull << 40, 0x105ull << 40, 0x106ull << 40, 0x107ull << 40, + 0x108ull << 40, 0x109ull << 40, + 0x110ull << 40, 0x111ull << 40, 0x112ull << 40, 0x113ull << 40, + 0x114ull << 40, 0x115ull << 40, 0x116ull << 40, 0x117ull << 40, + 0x118ull << 40, 0x119ull << 40, + 0x120ull << 40, 0x121ull << 40, 0x122ull << 40, 0x123ull << 40, + 0x124ull << 40, 0x125ull << 40, 0x126ull << 40, 0x127ull << 40, + 0x128ull << 40, 0x129ull << 40, + 0x130ull << 40, 0x131ull << 40, 0x132ull << 40, 0x133ull << 40, + 0x134ull << 40, 0x135ull << 40, 0x136ull << 40, 0x137ull << 40, + 0x138ull << 40, 0x139ull << 40, + 0x140ull << 40, 0x141ull << 40, 0x142ull << 40, 0x143ull << 40, + 0x144ull << 40, 0x145ull << 40, 0x146ull << 40, 0x147ull << 40, + 0x148ull << 40, 0x149ull << 40, + 0x150ull << 40, 0x151ull << 40, 0x152ull << 40, 0x153ull << 40, + 0x154ull << 40, 0x155ull << 40, 0x156ull << 40, 0x157ull << 40, + 0x158ull << 40, 0x159ull << 40, + 0x160ull << 40, 0x161ull << 40, 0x162ull << 40, 0x163ull << 40, + 0x164ull << 40, 0x165ull << 40, 0x166ull << 40, 0x167ull << 40, + 0x168ull << 40, 0x169ull << 40, + 0x170ull << 40, 0x171ull << 40, 0x172ull << 40, 0x173ull << 40, + 0x174ull << 40, 0x175ull << 40, 0x176ull << 40, 0x177ull << 40, + 0x178ull << 40, 0x179ull << 40, + 0x10aull << 40, 0x10bull << 40, 0x12aull << 40, 0x12bull << 40, + 0x14aull << 40, 0x14bull << 40, 0x16aull << 40, 0x16bull << 40, + 0x14eull << 40, 0x14full << 40, + 0x11aull << 40, 0x11bull << 40, 0x13aull << 40, 0x13bull << 40, + 0x15aull << 40, 0x15bull << 40, 0x17aull << 40, 0x17bull << 40, + 0x15eull << 40, 0x15full << 40, + 0x180ull << 40, 0x181ull << 40, 0x182ull << 40, 0x183ull << 40, + 0x184ull << 40, 0x185ull << 40, 0x186ull << 40, 0x187ull << 40, + 0x188ull << 40, 0x189ull << 40, + 0x190ull << 40, 0x191ull << 40, 0x192ull << 40, 0x193ull << 40, + 0x194ull << 40, 0x195ull << 40, 0x196ull << 40, 0x197ull << 40, + 0x198ull << 40, 0x199ull << 40, + 0x1a0ull << 40, 0x1a1ull << 40, 0x1a2ull << 40, 0x1a3ull << 40, + 0x1a4ull << 40, 0x1a5ull << 40, 0x1a6ull << 40, 0x1a7ull << 40, + 0x1a8ull << 40, 0x1a9ull << 40, + 0x1b0ull << 40, 0x1b1ull << 40, 0x1b2ull << 40, 0x1b3ull << 40, + 0x1b4ull << 40, 0x1b5ull << 40, 0x1b6ull << 40, 0x1b7ull << 40, + 0x1b8ull << 40, 0x1b9ull << 40, + 0x1c0ull << 40, 0x1c1ull << 40, 0x1c2ull << 40, 0x1c3ull << 40, + 0x1c4ull << 40, 0x1c5ull << 40, 0x1c6ull << 40, 0x1c7ull << 40, + 0x1c8ull << 40, 0x1c9ull << 40, + 0x1d0ull << 40, 0x1d1ull << 40, 0x1d2ull << 40, 0x1d3ull << 40, + 0x1d4ull << 40, 0x1d5ull << 40, 0x1d6ull << 40, 0x1d7ull << 40, + 0x1d8ull << 40, 0x1d9ull << 40, + 0x1e0ull << 40, 0x1e1ull << 40, 0x1e2ull << 40, 0x1e3ull << 40, + 0x1e4ull << 40, 0x1e5ull << 40, 0x1e6ull << 40, 0x1e7ull << 40, + 0x1e8ull << 40, 0x1e9ull << 40, + 0x1f0ull << 40, 0x1f1ull << 40, 0x1f2ull << 40, 0x1f3ull << 40, + 0x1f4ull << 40, 0x1f5ull << 40, 0x1f6ull << 40, 0x1f7ull << 40, + 0x1f8ull << 40, 0x1f9ull << 40, + 0x18aull << 40, 0x18bull << 40, 0x1aaull << 40, 0x1abull << 40, + 0x1caull << 40, 0x1cbull << 40, 0x1eaull << 40, 0x1ebull << 40, + 0x1ceull << 40, 0x1cfull << 40, + 0x19aull << 40, 0x19bull << 40, 0x1baull << 40, 0x1bbull << 40, + 0x1daull << 40, 0x1dbull << 40, 0x1faull << 40, 0x1fbull << 40, + 0x1deull << 40, 0x1dfull << 40, + 0x200ull << 40, 0x201ull << 40, 0x202ull << 40, 0x203ull << 40, + 0x204ull << 40, 0x205ull << 40, 0x206ull << 40, 0x207ull << 40, + 0x208ull << 40, 0x209ull << 40, + 0x210ull << 40, 0x211ull << 40, 0x212ull << 40, 0x213ull << 40, + 0x214ull << 40, 0x215ull << 40, 0x216ull << 40, 0x217ull << 40, + 0x218ull << 40, 0x219ull << 40, + 0x220ull << 40, 0x221ull << 40, 0x222ull << 40, 0x223ull << 40, + 0x224ull << 40, 0x225ull << 40, 0x226ull << 40, 0x227ull << 40, + 0x228ull << 40, 0x229ull << 40, + 0x230ull << 40, 0x231ull << 40, 0x232ull << 40, 0x233ull << 40, + 0x234ull << 40, 0x235ull << 40, 0x236ull << 40, 0x237ull << 40, + 0x238ull << 40, 0x239ull << 40, + 0x240ull << 40, 0x241ull << 40, 0x242ull << 40, 0x243ull << 40, + 0x244ull << 40, 0x245ull << 40, 0x246ull << 40, 0x247ull << 40, + 0x248ull << 40, 0x249ull << 40, + 0x250ull << 40, 0x251ull << 40, 0x252ull << 40, 0x253ull << 40, + 0x254ull << 40, 0x255ull << 40, 0x256ull << 40, 0x257ull << 40, + 0x258ull << 40, 0x259ull << 40, + 0x260ull << 40, 0x261ull << 40, 0x262ull << 40, 0x263ull << 40, + 0x264ull << 40, 0x265ull << 40, 0x266ull << 40, 0x267ull << 40, + 0x268ull << 40, 0x269ull << 40, + 0x270ull << 40, 0x271ull << 40, 0x272ull << 40, 0x273ull << 40, + 0x274ull << 40, 0x275ull << 40, 0x276ull << 40, 0x277ull << 40, + 0x278ull << 40, 0x279ull << 40, + 0x20aull << 40, 0x20bull << 40, 0x22aull << 40, 0x22bull << 40, + 0x24aull << 40, 0x24bull << 40, 0x26aull << 40, 0x26bull << 40, + 0x24eull << 40, 0x24full << 40, + 0x21aull << 40, 0x21bull << 40, 0x23aull << 40, 0x23bull << 40, + 0x25aull << 40, 0x25bull << 40, 0x27aull << 40, 0x27bull << 40, + 0x25eull << 40, 0x25full << 40, + 0x280ull << 40, 0x281ull << 40, 0x282ull << 40, 0x283ull << 40, + 0x284ull << 40, 0x285ull << 40, 0x286ull << 40, 0x287ull << 40, + 0x288ull << 40, 0x289ull << 40, + 0x290ull << 40, 0x291ull << 40, 0x292ull << 40, 0x293ull << 40, + 0x294ull << 40, 0x295ull << 40, 0x296ull << 40, 0x297ull << 40, + 0x298ull << 40, 0x299ull << 40, + 0x2a0ull << 40, 0x2a1ull << 40, 0x2a2ull << 40, 0x2a3ull << 40, + 0x2a4ull << 40, 0x2a5ull << 40, 0x2a6ull << 40, 0x2a7ull << 40, + 0x2a8ull << 40, 0x2a9ull << 40, + 0x2b0ull << 40, 0x2b1ull << 40, 0x2b2ull << 40, 0x2b3ull << 40, + 0x2b4ull << 40, 0x2b5ull << 40, 0x2b6ull << 40, 0x2b7ull << 40, + 0x2b8ull << 40, 0x2b9ull << 40, + 0x2c0ull << 40, 0x2c1ull << 40, 0x2c2ull << 40, 0x2c3ull << 40, + 0x2c4ull << 40, 0x2c5ull << 40, 0x2c6ull << 40, 0x2c7ull << 40, + 0x2c8ull << 40, 0x2c9ull << 40, + 0x2d0ull << 40, 0x2d1ull << 40, 0x2d2ull << 40, 0x2d3ull << 40, + 0x2d4ull << 40, 0x2d5ull << 40, 0x2d6ull << 40, 0x2d7ull << 40, + 0x2d8ull << 40, 0x2d9ull << 40, + 0x2e0ull << 40, 0x2e1ull << 40, 0x2e2ull << 40, 0x2e3ull << 40, + 0x2e4ull << 40, 0x2e5ull << 40, 0x2e6ull << 40, 0x2e7ull << 40, + 0x2e8ull << 40, 0x2e9ull << 40, + 0x2f0ull << 40, 0x2f1ull << 40, 0x2f2ull << 40, 0x2f3ull << 40, + 0x2f4ull << 40, 0x2f5ull << 40, 0x2f6ull << 40, 0x2f7ull << 40, + 0x2f8ull << 40, 0x2f9ull << 40, + 0x28aull << 40, 0x28bull << 40, 0x2aaull << 40, 0x2abull << 40, + 0x2caull << 40, 0x2cbull << 40, 0x2eaull << 40, 0x2ebull << 40, + 0x2ceull << 40, 0x2cfull << 40, + 0x29aull << 40, 0x29bull << 40, 0x2baull << 40, 0x2bbull << 40, + 0x2daull << 40, 0x2dbull << 40, 0x2faull << 40, 0x2fbull << 40, + 0x2deull << 40, 0x2dfull << 40, + 0x300ull << 40, 0x301ull << 40, 0x302ull << 40, 0x303ull << 40, + 0x304ull << 40, 0x305ull << 40, 0x306ull << 40, 0x307ull << 40, + 0x308ull << 40, 0x309ull << 40, + 0x310ull << 40, 0x311ull << 40, 0x312ull << 40, 0x313ull << 40, + 0x314ull << 40, 0x315ull << 40, 0x316ull << 40, 0x317ull << 40, + 0x318ull << 40, 0x319ull << 40, + 0x320ull << 40, 0x321ull << 40, 0x322ull << 40, 0x323ull << 40, + 0x324ull << 40, 0x325ull << 40, 0x326ull << 40, 0x327ull << 40, + 0x328ull << 40, 0x329ull << 40, + 0x330ull << 40, 0x331ull << 40, 0x332ull << 40, 0x333ull << 40, + 0x334ull << 40, 0x335ull << 40, 0x336ull << 40, 0x337ull << 40, + 0x338ull << 40, 0x339ull << 40, + 0x340ull << 40, 0x341ull << 40, 0x342ull << 40, 0x343ull << 40, + 0x344ull << 40, 0x345ull << 40, 0x346ull << 40, 0x347ull << 40, + 0x348ull << 40, 0x349ull << 40, + 0x350ull << 40, 0x351ull << 40, 0x352ull << 40, 0x353ull << 40, + 0x354ull << 40, 0x355ull << 40, 0x356ull << 40, 0x357ull << 40, + 0x358ull << 40, 0x359ull << 40, + 0x360ull << 40, 0x361ull << 40, 0x362ull << 40, 0x363ull << 40, + 0x364ull << 40, 0x365ull << 40, 0x366ull << 40, 0x367ull << 40, + 0x368ull << 40, 0x369ull << 40, + 0x370ull << 40, 0x371ull << 40, 0x372ull << 40, 0x373ull << 40, + 0x374ull << 40, 0x375ull << 40, 0x376ull << 40, 0x377ull << 40, + 0x378ull << 40, 0x379ull << 40, + 0x30aull << 40, 0x30bull << 40, 0x32aull << 40, 0x32bull << 40, + 0x34aull << 40, 0x34bull << 40, 0x36aull << 40, 0x36bull << 40, + 0x34eull << 40, 0x34full << 40, + 0x31aull << 40, 0x31bull << 40, 0x33aull << 40, 0x33bull << 40, + 0x35aull << 40, 0x35bull << 40, 0x37aull << 40, 0x37bull << 40, + 0x35eull << 40, 0x35full << 40, + 0x380ull << 40, 0x381ull << 40, 0x382ull << 40, 0x383ull << 40, + 0x384ull << 40, 0x385ull << 40, 0x386ull << 40, 0x387ull << 40, + 0x388ull << 40, 0x389ull << 40, + 0x390ull << 40, 0x391ull << 40, 0x392ull << 40, 0x393ull << 40, + 0x394ull << 40, 0x395ull << 40, 0x396ull << 40, 0x397ull << 40, + 0x398ull << 40, 0x399ull << 40, + 0x3a0ull << 40, 0x3a1ull << 40, 0x3a2ull << 40, 0x3a3ull << 40, + 0x3a4ull << 40, 0x3a5ull << 40, 0x3a6ull << 40, 0x3a7ull << 40, + 0x3a8ull << 40, 0x3a9ull << 40, + 0x3b0ull << 40, 0x3b1ull << 40, 0x3b2ull << 40, 0x3b3ull << 40, + 0x3b4ull << 40, 0x3b5ull << 40, 0x3b6ull << 40, 0x3b7ull << 40, + 0x3b8ull << 40, 0x3b9ull << 40, + 0x3c0ull << 40, 0x3c1ull << 40, 0x3c2ull << 40, 0x3c3ull << 40, + 0x3c4ull << 40, 0x3c5ull << 40, 0x3c6ull << 40, 0x3c7ull << 40, + 0x3c8ull << 40, 0x3c9ull << 40, + 0x3d0ull << 40, 0x3d1ull << 40, 0x3d2ull << 40, 0x3d3ull << 40, + 0x3d4ull << 40, 0x3d5ull << 40, 0x3d6ull << 40, 0x3d7ull << 40, + 0x3d8ull << 40, 0x3d9ull << 40, + 0x3e0ull << 40, 0x3e1ull << 40, 0x3e2ull << 40, 0x3e3ull << 40, + 0x3e4ull << 40, 0x3e5ull << 40, 0x3e6ull << 40, 0x3e7ull << 40, + 0x3e8ull << 40, 0x3e9ull << 40, + 0x3f0ull << 40, 0x3f1ull << 40, 0x3f2ull << 40, 0x3f3ull << 40, + 0x3f4ull << 40, 0x3f5ull << 40, 0x3f6ull << 40, 0x3f7ull << 40, + 0x3f8ull << 40, 0x3f9ull << 40, + 0x38aull << 40, 0x38bull << 40, 0x3aaull << 40, 0x3abull << 40, + 0x3caull << 40, 0x3cbull << 40, 0x3eaull << 40, 0x3ebull << 40, + 0x3ceull << 40, 0x3cfull << 40, + 0x39aull << 40, 0x39bull << 40, 0x3baull << 40, 0x3bbull << 40, + 0x3daull << 40, 0x3dbull << 40, 0x3faull << 40, 0x3fbull << 40, + 0x3deull << 40, 0x3dfull << 40, + 0x00cull << 40, 0x00dull << 40, 0x10cull << 40, 0x10dull << 40, + 0x20cull << 40, 0x20dull << 40, 0x30cull << 40, 0x30dull << 40, + 0x02eull << 40, 0x02full << 40, + 0x01cull << 40, 0x01dull << 40, 0x11cull << 40, 0x11dull << 40, + 0x21cull << 40, 0x21dull << 40, 0x31cull << 40, 0x31dull << 40, + 0x03eull << 40, 0x03full << 40, + 0x02cull << 40, 0x02dull << 40, 0x12cull << 40, 0x12dull << 40, + 0x22cull << 40, 0x22dull << 40, 0x32cull << 40, 0x32dull << 40, + 0x12eull << 40, 0x12full << 40, + 0x03cull << 40, 0x03dull << 40, 0x13cull << 40, 0x13dull << 40, + 0x23cull << 40, 0x23dull << 40, 0x33cull << 40, 0x33dull << 40, + 0x13eull << 40, 0x13full << 40, + 0x04cull << 40, 0x04dull << 40, 0x14cull << 40, 0x14dull << 40, + 0x24cull << 40, 0x24dull << 40, 0x34cull << 40, 0x34dull << 40, + 0x22eull << 40, 0x22full << 40, + 0x05cull << 40, 0x05dull << 40, 0x15cull << 40, 0x15dull << 40, + 0x25cull << 40, 0x25dull << 40, 0x35cull << 40, 0x35dull << 40, + 0x23eull << 40, 0x23full << 40, + 0x06cull << 40, 0x06dull << 40, 0x16cull << 40, 0x16dull << 40, + 0x26cull << 40, 0x26dull << 40, 0x36cull << 40, 0x36dull << 40, + 0x32eull << 40, 0x32full << 40, + 0x07cull << 40, 0x07dull << 40, 0x17cull << 40, 0x17dull << 40, + 0x27cull << 40, 0x27dull << 40, 0x37cull << 40, 0x37dull << 40, + 0x33eull << 40, 0x33full << 40, + 0x00eull << 40, 0x00full << 40, 0x10eull << 40, 0x10full << 40, + 0x20eull << 40, 0x20full << 40, 0x30eull << 40, 0x30full << 40, + 0x06eull << 40, 0x06full << 40, + 0x01eull << 40, 0x01full << 40, 0x11eull << 40, 0x11full << 40, + 0x21eull << 40, 0x21full << 40, 0x31eull << 40, 0x31full << 40, + 0x07eull << 40, 0x07full << 40, + 0x08cull << 40, 0x08dull << 40, 0x18cull << 40, 0x18dull << 40, + 0x28cull << 40, 0x28dull << 40, 0x38cull << 40, 0x38dull << 40, + 0x0aeull << 40, 0x0afull << 40, + 0x09cull << 40, 0x09dull << 40, 0x19cull << 40, 0x19dull << 40, + 0x29cull << 40, 0x29dull << 40, 0x39cull << 40, 0x39dull << 40, + 0x0beull << 40, 0x0bfull << 40, + 0x0acull << 40, 0x0adull << 40, 0x1acull << 40, 0x1adull << 40, + 0x2acull << 40, 0x2adull << 40, 0x3acull << 40, 0x3adull << 40, + 0x1aeull << 40, 0x1afull << 40, + 0x0bcull << 40, 0x0bdull << 40, 0x1bcull << 40, 0x1bdull << 40, + 0x2bcull << 40, 0x2bdull << 40, 0x3bcull << 40, 0x3bdull << 40, + 0x1beull << 40, 0x1bfull << 40, + 0x0ccull << 40, 0x0cdull << 40, 0x1ccull << 40, 0x1cdull << 40, + 0x2ccull << 40, 0x2cdull << 40, 0x3ccull << 40, 0x3cdull << 40, + 0x2aeull << 40, 0x2afull << 40, + 0x0dcull << 40, 0x0ddull << 40, 0x1dcull << 40, 0x1ddull << 40, + 0x2dcull << 40, 0x2ddull << 40, 0x3dcull << 40, 0x3ddull << 40, + 0x2beull << 40, 0x2bfull << 40, + 0x0ecull << 40, 0x0edull << 40, 0x1ecull << 40, 0x1edull << 40, + 0x2ecull << 40, 0x2edull << 40, 0x3ecull << 40, 0x3edull << 40, + 0x3aeull << 40, 0x3afull << 40, + 0x0fcull << 40, 0x0fdull << 40, 0x1fcull << 40, 0x1fdull << 40, + 0x2fcull << 40, 0x2fdull << 40, 0x3fcull << 40, 0x3fdull << 40, + 0x3beull << 40, 0x3bfull << 40, + 0x08eull << 40, 0x08full << 40, 0x18eull << 40, 0x18full << 40, + 0x28eull << 40, 0x28full << 40, 0x38eull << 40, 0x38full << 40, + 0x0eeull << 40, 0x0efull << 40, + 0x09eull << 40, 0x09full << 40, 0x19eull << 40, 0x19full << 40, + 0x29eull << 40, 0x29full << 40, 0x39eull << 40, 0x39full << 40, + 0x0feull << 40, 0x0ffull << 40 +}; diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_binarydecimal.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_binarydecimal.c new file mode 100644 index 0000000000..681b109b1f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_binarydecimal.c @@ -0,0 +1,147479 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +// Counting leading zeros in an unsigned 32-bit word +// The "_nz" version will return the wrong answer (31) for zero inputs + +#define CLZ32_MASK16 0xFFFF0000ul +#define CLZ32_MASK8 0xFF00FF00ul +#define CLZ32_MASK4 0xF0F0F0F0ul +#define CLZ32_MASK2 0xCCCCCCCCul +#define CLZ32_MASK1 0xAAAAAAAAul + +#define clz32_nz(n) \ + (((((n) & CLZ32_MASK16) <= ((n) & ~CLZ32_MASK16)) ? 16 : 0) + \ + ((((n) & CLZ32_MASK8) <= ((n) & ~CLZ32_MASK8)) ? 8 : 0) + \ + ((((n) & CLZ32_MASK4) <= ((n) & ~CLZ32_MASK4)) ? 4 : 0) + \ + ((((n) & CLZ32_MASK2) <= ((n) & ~CLZ32_MASK2)) ? 2 : 0) + \ + ((((n) & CLZ32_MASK1) <= ((n) & ~CLZ32_MASK1)) ? 1 : 0)) + +#define clz32(n) (((n)==0) ? 32 : clz32_nz(n)) + +// Counting trailing zeros in an unsigned 32-bit word +// The ctz32_1bit version is for a single bit + +#define ctz32_1bit(n) \ + ((((n) & ~CLZ32_MASK16) ? 0 : 16) + \ + (((n) & ~CLZ32_MASK8) ? 0 : 8) + \ + (((n) & ~CLZ32_MASK4) ? 0 : 4) + \ + (((n) & ~CLZ32_MASK2) ? 0 : 2) + \ + (((n) & ~CLZ32_MASK1) ? 0 : 1)) + +#define ctz32(n) (((n) == 0) ? 32 : ctz32_1bit((n) & -(n))) + +// Counting leading zeros in an unsigned 64-bit word +// The "_nz" version will return the wrong answer (63) for zero inputs + +#define CLZ64_MASK32 0xFFFFFFFF00000000ull +#define CLZ64_MASK16 0xFFFF0000FFFF0000ull +#define CLZ64_MASK8 0xFF00FF00FF00FF00ull +#define CLZ64_MASK4 0xF0F0F0F0F0F0F0F0ull +#define CLZ64_MASK2 0xCCCCCCCCCCCCCCCCull +#define CLZ64_MASK1 0xAAAAAAAAAAAAAAAAull + +#define clz64_nz(n) \ + (((((n) & CLZ64_MASK32) <= ((n) & ~CLZ64_MASK32)) ? 32 : 0) + \ + ((((n) & CLZ64_MASK16) <= ((n) & ~CLZ64_MASK16)) ? 16 : 0) + \ + ((((n) & CLZ64_MASK8) <= ((n) & ~CLZ64_MASK8)) ? 8 : 0) + \ + ((((n) & CLZ64_MASK4) <= ((n) & ~CLZ64_MASK4)) ? 4 : 0) + \ + ((((n) & CLZ64_MASK2) <= ((n) & ~CLZ64_MASK2)) ? 2 : 0) + \ + ((((n) & CLZ64_MASK1) <= ((n) & ~CLZ64_MASK1)) ? 1 : 0)) \ + +#define clz64(n) (((n)==0) ? 64 : clz64_nz(n)) + +// Counting trailing zeros in an unsigned 64-bit word +// The ctz64_1bit version is for a single bit + +#define ctz64_1bit(n) \ + ((((n) & ~CLZ64_MASK32) ? 0 : 32) + \ + (((n) & ~CLZ64_MASK16) ? 0 : 16) + \ + (((n) & ~CLZ64_MASK8) ? 0 : 8) + \ + (((n) & ~CLZ64_MASK4) ? 0 : 4) + \ + (((n) & ~CLZ64_MASK2) ? 0 : 2) + \ + (((n) & ~CLZ64_MASK1) ? 0 : 1)) + +#define ctz64(n) (((n) == 0) ? 64 : ctz64_1bit((n) & -(n))) + +// Counting leading zeros in an unsigned 2-part 128-bit word + +#define clz128(n_hi,n_lo) (((n_hi) == 0) ? 64 + clz64(n_lo) : clz64_nz(n_hi)) + +// Counting trailing zeros in a 2-part 128-bit word + +#define ctz128(hi,lo) (((lo) == 0) ? 64 + ctz64(hi) : ctz64(lo)) + +// Shift 2-part 2^64 * hi + lo left by "c" bits +// The "short" form requires a shift 0 < c < 64 and will be faster +// Note that shifts of 64 can't be relied on as ANSI + +#define sll128_short(hi,lo,c) \ + ((hi) = ((hi) << (c)) + ((lo)>>(64-(c))), \ + (lo) = (lo) << (c) \ + ) + +#define sll128(hi,lo,c) \ + (((c) == 0) ? hi = hi, lo = lo : \ + (((c) >= 64) ? hi = lo << ((c) - 64), lo = 0 : sll128_short(hi,lo,c))) + +// Shift 2-part 2^64 * hi + lo right by "c" bits +// The "short" form requires a shift 0 < c < 64 and will be faster +// Note that shifts of 64 can't be relied on as ANSI + +#define srl128_short(hi,lo,c) \ + ((lo) = ((hi) << (64 - (c))) + ((lo) >> (c)), \ + (hi) = (hi) >> (c) \ + ) + +#define srl128(hi,lo,c) \ + (((c) == 0) ? hi = hi, lo = lo : \ + (((c) >= 64) ? lo = hi >> ((c) - 64), hi = 0 : srl128_short(hi,lo,c))) + +// Shift 4-part 2^196 * x3 + 2^128 * x2 + 2^64 * x1 + x0 +// right by "c" bits (must have c < 64) + +#define srl256(x3,x2,x1,x0,c) \ + ((x0) = ((x1) << (64 - (c))) + ((x0) >> (c)), \ + (x1) = ((x2) << (64 - (c))) + ((x1) >> (c)), \ + (x2) = ((x3) << (64 - (c))) + ((x2) >> (c)), \ + (x3) = (x3) >> (c) \ + ) + +// Compare "<" two 2-part unsigned integers + +#define lt128(x_hi,x_lo,y_hi,y_lo) \ + (((x_hi) < (y_hi)) || (((x_hi) == (y_hi)) && ((x_lo) < (y_lo)))) + +// Likewise "<=" + +#define le128(x_hi,x_lo,y_hi,y_lo) \ + (((x_hi) < (y_hi)) || (((x_hi) == (y_hi)) && ((x_lo) <= (y_lo)))) + +// 128x256->384 bit multiplication (missing from existing macros) +// I derived this by propagating (A).w[2] = 0 in __mul_192x256_to_448 + +#define __mul_128x256_to_384(P, A, B) \ +{ \ +UINT512 P0,P1; \ +UINT64 CY; \ + __mul_64x256_to_320(P0, (A).w[0], B); \ + __mul_64x256_to_320(P1, (A).w[1], B); \ + (P).w[0] = P0.w[0]; \ + __add_carry_out((P).w[1],CY,P1.w[0],P0.w[1]); \ + __add_carry_in_out((P).w[2],CY,P1.w[1],P0.w[2],CY); \ + __add_carry_in_out((P).w[3],CY,P1.w[2],P0.w[3],CY); \ + __add_carry_in_out((P).w[4],CY,P1.w[3],P0.w[4],CY); \ + (P).w[5] = P1.w[4] + CY; \ +} + +// Multiply a 64-bit number by 10, getting "carry" and "sum" + +#define __mul_10x64(sum,carryout,input,carryin) \ +{ unsigned long long s3 = (input) + ((input) >> 2); \ + (carryout) = ((s3 < (unsigned long long)(input))<<3) + (s3>>61); \ + s3 = (s3<<3) + ((input&3)<<1); \ + (sum) = s3 + (carryin); \ + if ((unsigned long long)(sum) < s3) ++(carryout); \ +} + +// Multiply a 256-bit number by 10, assuming no overflow + +#define __mul_10x256_to_256(p3,p2,p1,p0,a3,a2,a1,a0) \ +{ unsigned long long c0,c1,c2,c3; \ + __mul_10x64(p0,c0,a0,0ull); \ + __mul_10x64(p1,c1,a1,c0); \ + __mul_10x64(p2,c2,a2,c1); \ + __mul_10x64(p3,c3,a3,c2); \ +} + +// Set up indices for low and high parts, depending on the endian-ness. +// Note that this only affects 128-bit input and output operands, not any +// of the internal workings, where w[0] is always the low-order part. + +#if BID_BIG_ENDIAN +typedef union { + struct { + unsigned short hi; + unsigned short lo1; + unsigned short lo2; + unsigned short lo3; + unsigned short lo4; + unsigned short pad; + unsigned pad128; + } i; + BINARY80 f; +} +BID_BINARY80LDOUBLE; +#else +typedef union { + struct { + unsigned short lo4; + unsigned short lo3; + unsigned short lo2; + unsigned short lo1; + unsigned short hi; + unsigned short pad; + unsigned pad128; + } i; + BINARY80 f; +} +BID_BINARY80LDOUBLE; +#endif + +// Pack and return binary floating-point numbers from raw fields + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_binary32(s,e,c) \ + { union {UINT32 i; float f; } x_out; \ + x_out.i = (((UINT32)(s)) << 31) + \ + (((UINT32)(e)) << 23) + \ + (c); \ + return x_out.f; \ +} +#else +#define return_binary32(s,e,c) \ + { union {UINT32 i; float f; } x_out; \ + x_out.i = (((UINT32)(s)) << 31) + \ + (((UINT32)(e)) << 23) + \ + (c); \ + *pres = x_out.f; \ + return; \ +} +#endif + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_binary64(s,e,c) \ + { union {UINT64 i; double f; } x_out; \ + x_out.i = (((UINT64)(s)) << 63) + \ + (((UINT64)(e)) << 52) + \ + (c); \ + return x_out.f; \ + } +#else +#define return_binary64(s,e,c) \ + { union {UINT64 i; double f; } x_out; \ + x_out.i = (((UINT64)(s)) << 63) + \ + (((UINT64)(e)) << 52) + \ + (c); \ + *pres = x_out.f; \ + return; \ + } +#endif + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_binary80(s,e,c) \ + { BID_BINARY80LDOUBLE x_out; \ + x_out.i.pad128 = 0; \ + x_out.i.pad = 0; \ + x_out.i.lo4 = (c)&0xffff; \ + x_out.i.lo3 = ((c)&0xffff0000) >> 16; \ + x_out.i.lo2 = ((c)&0xffff00000000ull) >> 32; \ + x_out.i.lo1 = ((c)&0xffff000000000000ull) >> 48; \ + x_out.i.hi = (((UINT64)(s)) << 15) + \ + (e); \ + return x_out.f; \ + } +#else +#define return_binary80(s,e,c) \ + { BID_BINARY80LDOUBLE x_out; \ + x_out.i.pad128 = 0; \ + x_out.i.pad = 0; \ + x_out.i.lo4 = (c)&0xffff; \ + x_out.i.lo3 = ((c)&0xffff0000) >> 16; \ + x_out.i.lo2 = ((c)&0xffff00000000ull) >> 32; \ + x_out.i.lo1 = ((c)&0xffff000000000000ull) >> 48; \ + x_out.i.hi = ((s) << 15) + \ + (e); \ + *pres = x_out.f; \ + return; \ + } +#endif + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_binary128(s,e,c_hi,c_lo) \ + { union {UINT128 i; BINARY128 f; } x_out; \ + x_out.i.w[LOW_128W] = (c_lo); \ + x_out.i.w[HIGH_128W] = (((UINT64)(s)) << 63) + \ + (((UINT64)(e)) << 48) + \ + (c_hi); \ + return x_out.f; \ + } +#else +#define return_binary128(s,e,c_hi,c_lo) \ + { union {UINT128 i; BINARY128 f; } x_out; \ + x_out.i.w[LOW_128W] = (c_lo); \ + x_out.i.w[HIGH_128W] = (((UINT64)(s)) << 63) + \ + (((UINT64)(e)) << 48) + \ + (c_hi); \ + *pres = x_out.f; \ + return; \ + } +#endif + +// Special cases of returning zero, infinity, NaN as binary FP +// Take parameters for the sign, and for NaN the significand + +#define return_binary32_zero(s) return_binary32(s,0,0) +#define return_binary32_inf(s) return_binary32(s,255,0) +#define return_binary32_nan(s,c_hi,c_lo) \ + return_binary32(s,255,(c_hi>>42)+(1ul<<22)) + +#define return_binary64_zero(s) return_binary64(s,0,0) +#define return_binary64_inf(s) return_binary64(s,2047,0) +#define return_binary64_nan(s,c_hi,c_lo) \ + return_binary64(s,2047,(c_hi>>13)+(1ull<<51)) + +#define return_binary80_zero(s) return_binary80(s,0,0) +#define return_binary80_inf(s) return_binary80(s,32767,(1ull<<63)) +#define return_binary80_nan(s,c_hi,c_lo) \ + return_binary80(s,32767,(c_hi>>2)+(3ull<<62)) + +#define return_binary128_zero(s) return_binary128(s,0,0,0) +#define return_binary128_inf(s) return_binary128(s,32767,0,0) +#define return_binary128_nan(s,c_hi,c_lo) \ + return_binary128(s,32767,(c_hi>>17)+(1ull<<47),((c_lo>>17)+(c_hi<<47))) + +// Return finite values of maximal magnitude in the various formats + +#define return_binary32_max(s) return_binary32(s,254,((1ul<<23)-1ul)) +#define return_binary64_max(s) return_binary64(s,2046,((1ull<<52)-1ull)) +#define return_binary80_max(s) return_binary80(s,32766,0xFFFFFFFFFFFFFFFFull) +#define return_binary128_max(s) \ + return_binary128(s,32766,((1ull<<48)-1ull),0xFFFFFFFFFFFFFFFFull) + +#define return_bid32_max(s) return_bid32(s,191,9999999ul) +#define return_bid64_max(s) return_bid64(s,767,9999999999999999ull) +#define return_bid128_max(s) \ + return_bid128(s,12287,542101086242752ull,4003012203950112767ull) + +// Handle overflow by either infinity or maximal value as appropriate + +#define return_binary32_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_binary32_max(s) \ + else return_binary32_inf(s) \ +} + +#define return_binary64_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_binary64_max(s) \ + else return_binary64_inf(s) \ +} + +#define return_binary80_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_binary80_max(s) \ + else return_binary80_inf(s) \ +} + +#define return_binary128_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_binary128_max(s) \ + else return_binary128_inf(s) \ +} + +#define return_bid32_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_bid32_max(s) \ + else return_bid32_inf(s) \ +} + +#define return_bid64_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_bid64_max(s) \ + else return_bid64_inf(s) \ +} + +#define return_bid128_ovf(s) \ +{ if ((rnd_mode==ROUNDING_TO_ZERO) || \ + (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN))) \ + return_bid128_max(s) \ + else return_bid128_inf(s) \ +} + +// Unpack binary floating-point number x into +// +// int s (sign in the LSB) +// int e (true "integer" exponent) +// c (normalized coefficient with explicit 1 bit) +// t (trailing zero count, valid in normalized case only) +// [c_hi,c_lo in the case of quad] +// +// Call the given zero, infinity or nan macros if appropriate + +#define unpack_binary32(x,s,e,c,t,zero,inf,nan) \ +{ union { UINT32 i; float f; } x_in; \ + x_in.f = x; \ + c = x_in.i; \ + e = (c >> 23) & ((1ull<<8)-1); \ + s = c >> 31; \ + c = c & ((1ull<<23)-1); \ + if (e == 0) \ + { int l; \ + if (c == 0) zero; \ + l = clz32(c) - (32 - 24); \ + c = c << l; \ + e = -(l + 149); \ + t = 0; \ + *pfpsf |= DENORMAL_EXCEPTION; \ + } \ + else if (e == ((1ull<<8)-1)) \ + { if (c == 0) inf; \ + if ((c&(1ul<<22))==0) *pfpsf |= INVALID_EXCEPTION; \ + nan(s,(((unsigned long long) c)) << 42,0ull) \ + } \ + else \ + { c += 1ull<<23; \ + t = ctz32(c); \ + e -= 150; \ + } \ +} + +#define unpack_binary64(x,s,e,c,t,zero,inf,nan) \ +{ union { UINT64 i; double f; } x_in; \ + x_in.f = x; \ + c = x_in.i; \ + e = (c >> 52) & ((1ull<<11)-1); \ + s = c >> 63; \ + c = c & ((1ull<<52)-1); \ + if (e == 0) \ + { int l; \ + if (c == 0) zero; \ + l = clz64(c) - (64 - 53); \ + c = c << l; \ + e = -(l + 1074); \ + t = 0; \ + *pfpsf |= DENORMAL_EXCEPTION; \ + } \ + else if (e == ((1ull<<11)-1)) \ + { if (c == 0) inf; \ + if ((c&(1ull<<51))==0) *pfpsf |= INVALID_EXCEPTION; \ + nan(s,(((unsigned long long) c) << 13),0ull) \ + } \ + else \ + { c += 1ull<<52; \ + t = ctz64(c); \ + e -= 1075; \ + } \ +} + +#define unpack_binary80(x,s,e,c,t,zero,inf,nan) \ +{ BID_BINARY80LDOUBLE x_in; \ + x_in.f = x; \ + c = x_in.i.lo4 + ((UINT64)x_in.i.lo3 << 16) + \ + ((UINT64)x_in.i.lo2 << 32) + ((UINT64)x_in.i.lo1 << 48); \ + e = x_in.i.hi; \ + s = e >> 15; \ + e = (e & ((1<<15)-1)); \ + if (e == 0) \ + { int l; \ + if (c == 0) zero; \ + l = clz64(c); \ + c = c << l; \ + e -= (l + 16445); \ + t = 0; \ + *pfpsf |= DENORMAL_EXCEPTION; \ + } \ + else if (e == ((1ull<<15)-1)) \ + { if ((c & ((1ull<<63)-1)) == 0) inf; \ + if ((c&(1ull<<62))==0) *pfpsf |= INVALID_EXCEPTION; \ + nan(s,(((unsigned long long) c) << 2),0ull) \ + } \ + else \ + { t = ctz64(c); \ + e -= 16446; \ + } \ +} + +#define unpack_binary128(x,s,e,c_hi,c_lo,t,zero,inf,nan) \ +{ union { UINT128 i; BINARY128 f; } x_in; \ + x_in.f = x; \ + c_lo = x_in.i.w[LOW_128W]; \ + c_hi = x_in.i.w[HIGH_128W]; \ + e = (c_hi >> 48) & ((1ull<<15)-1); \ + s = c_hi >> 63; \ + c_hi = c_hi & ((1ull<<48)-1); \ + if (e == 0) \ + { int l; \ + if ((c_hi == 0) && (c_lo == 0)) zero; \ + l = clz128(c_hi,c_lo) - (128 - 113); \ + sll128(c_hi,c_lo,l); \ + e = -(l + 16494); \ + t = 0; \ + *pfpsf |= DENORMAL_EXCEPTION; \ + } \ + else if (e == ((1ull<<15)-1)) \ + { if ((c_hi == 0) && (c_lo == 0)) inf; \ + if ((c_hi&(1ull<<47))==0) *pfpsf |= INVALID_EXCEPTION; \ + nan(s,((((unsigned long long) c_hi) << 17) + \ + (((unsigned long long) c_lo) >> 47)), \ + (((unsigned long long) c_lo) << 17)) \ + } \ + else \ + { c_hi += 1ull<<48; \ + t = ctz128(c_hi,c_lo); \ + e -= 16495; \ + } \ +} + +// Pack and return decimal number from raw fields + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_bid32(s,e,c) \ + { if ((UINT32) (c) < (1ul<<23)) \ + return (((UINT32) (s) << 31) + ((UINT32) (e) << 23) + (UINT32) (c)); \ + else \ + return (((UINT32) (s) << 31) + ((0x3ull<<29) - (1ull<<23)) + \ + ((UINT32) (e) << 21) + (UINT32) (c)); \ + } +#else +#define return_bid32(s,e,c) \ + { if ((UINT32) (c) < (1ul<<23)) \ + *pres = (((UINT32) (s) << 31) + ((UINT32) (e) << 23) + (UINT32) (c)); \ + else \ + *pres = (((UINT32) (s) << 31) + ((0x3ull<<29) - (1ull<<23)) + \ + ((UINT32) (e) << 21) + (UINT32) (c)); \ + return; \ + } +#endif + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_bid64(s,e,c) \ + { if ((c) < (1ull<<53)) \ + return (((UINT64) (s) << 63) + ((UINT64) (e) << 53) + (c)); \ + else \ + return (((UINT64) (s) << 63) + ((0x3ull<<61) - (1ull<<53)) + \ + ((UINT64) (e) << 51) + (c)); \ + } +#else +#define return_bid64(s,e,c) \ + { if ((c) < (1ull<<53)) \ + *pres = (((UINT64) (s) << 63) + ((UINT64) (e) << 53) + (c)); \ + else \ + *pres = (((UINT64) (s) << 63) + ((0x3ull<<61) - (1ull<<53)) + \ + ((UINT64) (e) << 51) + (c)); \ + return; \ + } +#endif + +#if !DECIMAL_CALL_BY_REFERENCE +#define return_bid128(s,e,c_hi,c_lo) \ + { UINT128 x_out; \ + x_out.w[LOW_128W] = c_lo; \ + x_out.w[HIGH_128W] = ((UINT64) (s) << 63) + ((UINT64) (e) << 49) + \ + (c_hi); \ + return x_out; \ + } +#else +#define return_bid128(s,e,c_hi,c_lo) \ + { UINT128 x_out; \ + x_out.w[LOW_128W] = c_lo; \ + x_out.w[HIGH_128W] = ((UINT64) (s) << 63) + ((UINT64) (e) << 49) + (c_hi); \ + *pres = x_out; \ + return; \ + } +#endif + +// Special cases of returning zero, infinity, NaN as decimal FP +// Take parameters for the sign, and for NaN the significand + +#define return_bid32_zero(s) return_bid32(s,101,0) +#define return_bid32_inf(s) return_bid32(s,(0xF<<4),0) +#define return_bid32_nan(s,c_hi,c_lo) \ + return_bid32(s,(0x1F<<3),(((c_hi>>44) > 999999ul) ? 0 : (c_hi>>44))); + +#define return_bid64_zero(s) return_bid64(s,398,0) +#define return_bid64_inf(s) return_bid64(s,(0xF<<6),0) +#define return_bid64_nan(s,c_hi,c_lo) \ + return_bid64(s,(0x1F<<5), \ + (((c_hi>>14) > 999999999999999ull) ? 0 : (c_hi>>14))); + +#define return_bid128_zero(s) return_bid128(s,6176,0,0) +#define return_bid128_inf(s) return_bid128(s,(0xF<<10),0,0) +#define return_bid128_nan(s,c_hi,c_lo) \ + { if (lt128(54210108624275ull,4089650035136921599ull, \ + (c_hi>>18),((c_lo>>18)+(c_hi<<46)))) \ + return_bid128(s,(0x1F<<9),0ull,0ull) \ + else return_bid128(s,(0x1F<<9),(c_hi>>18),((c_lo>>18)+(c_hi<<46))) \ + } + +// Unpack decimal floating-point number x into sign,exponent,coefficient +// In special cases, call the macros provided +// Coefficient is normalized in the binary sense with postcorrection k, +// so that x = 10^e * c / 2^k and the range of c is: +// +// 2^23 <= c < 2^24 (decimal32) +// 2^53 <= c < 2^54 (decimal64) +// 2^112 <= c < 2^113 (decimal128) + +#define unpack_bid32(x,s,e,k,c,zero,inf,nan) \ +{ s = x >> 31; \ + if ((x & (3ull<<29)) == (3ull<<29)) \ + { if ((x & (0xFull<<27)) == (0xFull<<27)) \ + { if ((x & (0x1Full<<26)) != (0x1Full<<26)) inf; \ + if ((x & (1ul<<25))!=0) *pfpsf |= INVALID_EXCEPTION; \ + nan(s,((((x) & 0xFFFFul) > 999999ul) ? 0 : \ + (((unsigned long long) x) << 44)),0ull); \ + } \ + e = ((x >> 21) & ((1ull<<8)-1)) - 101; \ + c = (1ull<<23) + (x & ((1ull<<21)-1)); \ + if ((unsigned long)(c) > 9999999ul) c = 0; \ + k = 0; \ + } \ + else \ + { e = ((x >> 23) & ((1ull<<8)-1)) - 101; \ + c = x & ((1ull<<23)-1); \ + if (c == 0) zero; \ + k = clz32(c) - 8; \ + c = c << k; \ + } \ +} + +#define unpack_bid64(x,s,e,k,c,zero,inf,nan) \ +{ s = x >> 63; \ + if ((x & (3ull<<61)) == (3ull<<61)) \ + { if ((x & (0xFull<<59)) == (0xFull<<59)) \ + { if ((x & (0x1Full<<58)) != (0x1Full<<58)) inf; \ + if ((x & (1ull<<57))!=0) *pfpsf |= INVALID_EXCEPTION; \ + nan(s,((((x) & 0x3FFFFFFFFFFFFull) > 999999999999999ull) ? 0 : \ + (((unsigned long long) x) << 14)),0ull); \ + } \ + e = ((x >> 51) & ((1ull<<10)-1)) - 398; \ + c = (1ull<<53) + (x & ((1ull<<51)-1)); \ + if ((unsigned long long)(c) > 9999999999999999ull) c = 0; \ + k = 0; \ + } \ + else \ + { e = ((x >> 53) & ((1ull<<10)-1)) - 398; \ + c = x & ((1ull<<53)-1); \ + if (c == 0) zero; \ + k = clz64(c) - 10; \ + c = c << k; \ + } \ +} + +#define unpack_bid128(x,s,e,k,c,zero,inf,nan) \ +{ s = x.w[HIGH_128W] >> 63; \ + if ((x.w[HIGH_128W] & (3ull<<61)) == (3ull<<61)) \ + { if ((x.w[HIGH_128W] & (0xFull<<59)) == (0xFull<<59)) \ + { if ((x.w[HIGH_128W] & (0x1Full<<58)) != (0x1Full<<58)) inf; \ + if ((x.w[HIGH_128W] & (1ull<<57))!=0) \ + *pfpsf |= INVALID_EXCEPTION; \ + if (lt128(54210108624275ull,4089650035136921599ull, \ + (x.w[HIGH_128W] & 0x3FFFFFFFFFFFull),x.w[LOW_128W])) \ + nan(s,0ull,0ull); \ + nan(s,((((unsigned long long) x.w[HIGH_128W]) << 18) + \ + (((unsigned long long) x.w[LOW_128W]) >> 46)), \ + (((unsigned long long) x.w[LOW_128W]) << 18)); \ + } \ + zero; \ + } \ + else \ + { e = ((x.w[HIGH_128W] >> 49) & ((1ull<<14)-1)) - 6176; \ + c.w[1] = x.w[HIGH_128W] & ((1ull<<49)-1); \ + c.w[0] = x.w[LOW_128W]; \ + if (lt128(542101086242752ull,4003012203950112767ull, \ + c.w[1],c.w[0])) \ + { c.w[1] = 0ull; c.w[0] = 0ull; } \ + if ((c.w[1] == 0) && (c.w[0] == 0)) zero; \ + k = clz128(c.w[1],c.w[0]) - 15; \ + sll128(c.w[1],c.w[0],k); \ + } \ +} + +// Rounding boundaries table, indexed by +// 4 * rounding_mode + 2 * sign + lsb of truncation +// We round up if the round/sticky data is strictly > this boundary +// +// NB: This depends on the particular values of the rounding mode +// numbers, which are supposed to be defined as here: +// +// #define ROUNDING_TO_NEAREST 0x00000 +// #define ROUNDING_DOWN 0x00001 +// #define ROUNDING_UP 0x00002 +// #define ROUNDING_TO_ZERO 0x00003 +// #define ROUNDING_TIES_AWAY 0x00004 +// +// Some of the shortcuts below in "underflow after rounding" also use +// the concrete values. +// +// So we add a directive here to double-check that this is the case + +#if ((ROUNDING_TO_NEAREST!=0) || (ROUNDING_DOWN!=1) || \ + (ROUNDING_UP!=2) || (ROUNDING_TO_ZERO!=3) || \ + (ROUNDING_TIES_AWAY!=4)) +#error "Rounding mode numbers don't match tables for binary/decimal conversion" +#endif + +static const UINT128 roundbound_128[] = { {{0ull, (1ull << 63)}}, // ROUNDING_TO_NEAREST | positive | even +{{~0ull, (1ull << 63) - 1}}, // ROUNDING_TO_NEAREST | positive | odd +{{0ull, (1ull << 63)}}, // ROUNDING_TO_NEAREST | negative | even +{{~0ull, (1ull << 63) - 1}}, // ROUNDING_TO_NEAREST | negative | odd + +{{~0ull, ~0ull}}, // ROUNDING_DOWN | positive | even +{{~0ull, ~0ull}}, // ROUNDING_DOWN | positive | odd +{{0ull, 0ull}}, // ROUNDING_DOWN | negative | even +{{0ull, 0ull}}, // ROUNDING_DOWN | negative | odd + +{{0ull, 0ull}}, // ROUNDING_UP | positive | even +{{0ull, 0ull}}, // ROUNDING_UP | positive | odd +{{~0ull, ~0ull}}, // ROUNDING_UP | negative | even +{{~0ull, ~0ull}}, // ROUNDING_UP | negative | odd + +{{~0ull, ~0ull}}, // ROUNDING_TO_ZERO | positive | even +{{~0ull, ~0ull}}, // ROUNDING_TO_ZERO | positive | odd +{{~0ull, ~0ull}}, // ROUNDING_TO_ZERO | negative | even +{{~0ull, ~0ull}}, // ROUNDING_TO_ZERO | negative | odd + +{{~0ull, (1ull << 63) - 1}}, // ROUNDING_TIES_AWAY | positive | even +{{~0ull, (1ull << 63) - 1}}, // ROUNDING_TIES_AWAY | positive | odd +{{~0ull, (1ull << 63) - 1}}, // ROUNDING_TIES_AWAY | negative | even +{{~0ull, (1ull << 63) - 1}} // ROUNDING_TIES_AWAY | negative | odd +}; + +// Table of powers of 5 + +static const UINT128 power_five[] = { {{1ull, 0ull}}, +{{5ull, 0ull}}, +{{25ull, 0ull}}, +{{125ull, 0ull}}, +{{625ull, 0ull}}, +{{3125ull, 0ull}}, +{{15625ull, 0ull}}, +{{78125ull, 0ull}}, +{{390625ull, 0ull}}, +{{1953125ull, 0ull}}, +{{9765625ull, 0ull}}, +{{48828125ull, 0ull}}, +{{244140625ull, 0ull}}, +{{1220703125ull, 0ull}}, +{{6103515625ull, 0ull}}, +{{30517578125ull, 0ull}}, +{{152587890625ull, 0ull}}, +{{762939453125ull, 0ull}}, +{{3814697265625ull, 0ull}}, +{{19073486328125ull, 0ull}}, +{{95367431640625ull, 0ull}}, +{{476837158203125ull, 0ull}}, +{{2384185791015625ull, 0ull}}, +{{11920928955078125ull, 0ull}}, +{{59604644775390625ull, 0ull}}, +{{298023223876953125ull, 0ull}}, +{{1490116119384765625ull, 0ull}}, +{{7450580596923828125ull, 0ull}}, +{{359414837200037393ull, 2ull}}, +{{1797074186000186965ull, 10ull}}, +{{8985370930000934825ull, 50ull}}, +{{8033366502585570893ull, 252ull}}, +{{3273344365508751233ull, 1262ull}}, +{{16366721827543756165ull, 6310ull}}, +{{8046632842880574361ull, 31554ull}}, +{{3339676066983768573ull, 157772ull}}, +{{16698380334918842865ull, 788860ull}}, +{{9704925379756007861ull, 3944304ull}}, +{{11631138751360936073ull, 19721522ull}}, +{{2815461535676025517ull, 98607613ull}}, +{{14077307678380127585ull, 493038065ull}}, +{{15046306170771983077ull, 2465190328ull}}, +{{1444554559021708921ull, 12325951644ull}}, +{{7222772795108544605ull, 61629758220ull}}, +{{17667119901833171409ull, 308148791101ull}}, +{{14548623214327650581ull, 1540743955509ull}}, +{{17402883850509598057ull, 7703719777548ull}}, +{{13227442957709783821ull, 38518598887744ull}}, +{{10796982567420264257ull, 192592994438723ull}} +}; + + +// Tables of values for the various conversions: +// +// exponents: table of output exponents +// breakpoints: test values to decide between two possible exponents +// multipliers1/multipliers2: corresponding reciprocal multipliers +// coefflimits: used in exactness checks +// + +static const UINT128 breakpoints_binary32[] = + { {{17291492046443221751ull, 474778387287989ull}}, +{{17522542451896487724ull, 379822709830391ull}}, +{{10328685146775279856ull, 303858167864313ull}}, +{{12836547420098537447ull, 486173068582901ull}}, +{{6579889121336919634ull, 388938454866321ull}}, +{{1574562482327625384ull, 311150763893057ull}}, +{{6208648786466110938ull, 497841222228891ull}}, +{{1277570214430978427ull, 398272977783113ull}}, +{{8400753801028603388ull, 318618382226490ull}}, +{{13441206081645765421ull, 509789411562384ull}}, +{{14442313680058522660ull, 407831529249907ull}}, +{{4175153314562997481ull, 326265223399926ull}}, +{{17748291747526526940ull, 522024357439881ull}}, +{{10509284583279311229ull, 417619485951905ull}}, +{{8407427666623448983ull, 334095588761524ull}}, +{{2383837822371787403ull, 534552942018439ull}}, +{{5596419072639340246ull, 427642353614751ull}}, +{{787786443369561873ull, 342113882891801ull}}, +{{12328504753617029967ull, 547382212626881ull}}, +{{6173454988151713650ull, 437905770101505ull}}, +{{4938763990521370920ull, 350324616081204ull}}, +{{15280720014318014119ull, 560519385729926ull}}, +{{8535227196712500972ull, 448415508583941ull}}, +{{3138832942628090454ull, 358732406867153ull}}, +{{9889763983586293010ull, 286985925493722ull}}, +{{1066227114770427523ull, 459177480789956ull}}, +{{15610376950783983311ull, 367341984631964ull}}, +{{16177650375369096972ull, 293873587705571ull}}, +{{58798897397182893ull, 470197740328915ull}}, +{{47039117917746314ull, 376158192263132ull}}, +{{11105677738559928021ull, 300926553810505ull}}, +{{17769084381695884834ull, 481482486096808ull}}, +{{3147221061130976897ull, 385185988877447ull}}, +{{13585823293130512487ull, 308148791101957ull}}, +{{6979922010041178687ull, 493038065763132ull}}, +{{16651984052258673919ull, 394430452610505ull}}, +{{13321587241806939135ull, 315544362088404ull}}, +{{10246493142665371647ull, 504870979341447ull}}, +{{818496884648476671ull, 403896783473158ull}}, +{{8033495137202601983ull, 323117426778526ull}}, +{{5474894590040342527ull, 516987882845642ull}}, +{{15447962116258004991ull, 413590306276513ull}}, +{{1290323248780673023ull, 330872245021211ull}}, +{{13132563642274807807ull, 529395592033937ull}}, +{{3127353284336025599ull, 423516473627150ull}}, +{{2501882627468820479ull, 338813178901720ull}}, +{{4003012203950112767ull, 542101086242752ull}}, +{{14270456207385821183ull, 433680868994201ull}}, +{{7727016151166746623ull, 346944695195361ull}}, +{{4984528212382973951ull, 555111512312578ull}}, +{{11366320199390199807ull, 444089209850062ull}}, +{{1714358530028339199ull, 355271367880050ull}}, +{{1371486824022671359ull, 284217094304040ull}}, +{{2194378918436274175ull, 454747350886464ull}}, +{{5444851949490929663ull, 363797880709171ull}}, +{{666532744850833407ull, 291038304567337ull}}, +{{4755801206503243775ull, 465661287307739ull}}, +{{7493989779944505343ull, 372529029846191ull}}, +{{2305843009213693951ull, 298023223876953ull}}, +{{18446744073709551615ull, 476837158203124ull}}, +{{18446744073709551615ull, 381469726562499ull}}, +{{18446744073709551615ull, 305175781249999ull}}, +{{18446744073709551615ull, 488281249999999ull}}, +{{18446744073709551615ull, 390624999999999ull}}, +{{18446744073709551615ull, 312499999999999ull}}, +{{18446744073709551615ull, 499999999999999ull}}, +{{18446744073709551615ull, 399999999999999ull}}, +{{18446744073709551615ull, 319999999999999ull}}, +{{18446744073709551615ull, 511999999999999ull}}, +{{18446744073709551615ull, 409599999999999ull}}, +{{18446744073709551615ull, 327679999999999ull}}, +{{18446744073709551615ull, 524287999999999ull}}, +{{18446744073709551615ull, 419430399999999ull}}, +{{18446744073709551615ull, 335544319999999ull}}, +{{18446744073709551615ull, 536870911999999ull}}, +{{18446744073709551615ull, 429496729599999ull}}, +{{18446744073709551615ull, 343597383679999ull}}, +{{18446744073709551615ull, 549755813887999ull}}, +{{18446744073709551615ull, 439804651110399ull}}, +{{18446744073709551615ull, 351843720888319ull}}, +{{18446744073709551615ull, 281474976710655ull}}, +{{11068046444225730969ull, 450359962737049ull}}, +{{12543785970122495098ull, 360287970189639ull}}, +{{13724377590839906402ull, 288230376151711ull}}, +{{14580306515860029597ull, 461168601842738ull}}, +{{596198768462292708ull, 368934881474191ull}}, +{{15234354273737475459ull, 295147905179352ull}}, +{{9617571579012319442ull, 472236648286964ull}}, +{{11383406077951765876ull, 377789318629571ull}}, +{{5417376047619502378ull, 302231454903657ull}}, +{{12357150490933114128ull, 483570327845851ull}}, +{{6196371578004580979ull, 386856262276681ull}}, +{{1267748447661754460ull, 309485009821345ull}}, +{{2028397516258807136ull, 495176015714152ull}}, +{{12690764457232776679ull, 396140812571321ull}}, +{{6463262751044311020ull, 316912650057057ull}}, +{{14030569216412807955ull, 507060240091291ull}}, +{{7535106558388336041ull, 405648192073033ull}}, +{{13406782876194489479ull, 324518553658426ull}}, +{{14072154972427362520ull, 519229685853482ull}}, +{{3879026348458069369ull, 415383748682786ull}}, +{{17860616337734096788ull, 332306998946228ull}}, +{{6440893251923092922ull, 531691198313966ull}}, +{{1463365786796564015ull, 425352958651173ull}}, +{{8549390258921071858ull, 340282366920938ull}}, +{{9989675599531804650ull, 544451787073501ull}}, +{{4302391664883533397ull, 435561429658801ull}}, +{{18199308590874468010ull, 348449143727040ull}}, +{{10672149671689597200ull, 557518629963265ull}}, +{{8537719737351677760ull, 446014903970612ull}}, +{{17898222234107073178ull, 356811923176489ull}}, +{{18007926602027568865ull, 285449538541191ull}}, +{{2987240860050737922ull, 456719261665907ull}}, +{{13457839132266321307ull, 365375409332725ull}}, +{{10766271305813057046ull, 292300327466180ull}}, +{{17226034089300891273ull, 467680523945888ull}}, +{{2712780827214982049ull, 374144419156711ull}}, +{{16927619920739626932ull, 299315535325368ull}}, +{{4948098984731941152ull, 478904856520590ull}}, +{{3958479187785552922ull, 383123885216472ull}} +}; + +static const int exponents_binary32[] = { -27, + -24, + -21, + -17, + -14, + -11, + -7, + -4, + -1, + 3, + 6, + 9, + 13, + 16, + 19, + 23, + 26, + 29, + 33, + 36, + 39, + 43, + 46, + 49, + 52, + 56, + 59, + 62, + 66, + 69, + 72, + 76, + 79, + 82, + 86, + 89, + 92, + 96, + 99, + 102, + 106, + 109, + 112, + 116, + 119, + 122, + 126, + 129, + 132, + 136, + 139, + 142, + 145, + 149, + 152, + 155, + 159, + 162, + 165, + 169, + 172, + 175, + 179, + 182, + 185, + 189, + 192, + 195, + 199, + 202, + 205, + 209, + 212, + 215, + 219, + 222, + 225, + 229, + 232, + 235, + 238, + 242, + 245, + 248, + 252, + 255, + 258, + 262, + 265, + 268, + 272, + 275, + 278, + 282, + 285, + 288, + 292, + 295, + 298, + 302, + 305, + 308, + 312, + 315, + 318, + 322, + 325, + 328, + 332, + 335, + 338, + 341, + 345, + 348, + 351, + 355, + 358, + 361, + 365, + 368, +}; + +static const UINT256 multipliers1_binary32[] = + { {{6013890151484785128ull, 7481633477359093489ull, + 655737588518723529ull, 651851512427ull}}, +{{12129048707783369314ull, 13963727865126254765ull, + 14654730040930568123ull, 814814390533ull}}, +{{1326252829447047930ull, 12842973812980430553ull, + 4483354495881046442ull, 1018517988167ull}}, +{{12358123064472874716ull, 12638544651540156999ull, + 9719625587566735882ull, 636573742604ull}}, +{{10835967812163705491ull, 6574808777570420441ull, + 12149531984458419853ull, 795717178255ull}}, +{{18156645783632019768ull, 12830196990390413455ull, + 10575228962145636912ull, 994646472819ull}}, +{{18265432642411094211ull, 8018873118994008409ull, + 4303675092127329118ull, 621654045512ull}}, +{{8996732747731704052ull, 800219361887734704ull, 5379593865159161398ull, + 777067556890ull}}, +{{11245915934664630065ull, 10223646239214444188ull, + 15947864368303727555ull, 971334446112ull}}, +{{16252069496020169599ull, 4083935890295333665ull, + 9967415230189829722ull, 607084028820ull}}, +{{6480028814743048286ull, 14328291899723942890ull, + 12459269037737287152ull, 758855036025ull}}, +{{17323408055283586166ull, 17910364874654928612ull, + 1739028241889445228ull, 948568795032ull}}, +{{1603757997697465546ull, 1970606009804554575ull, + 1086892651180903268ull, 592855496895ull}}, +{{15839755552403995644ull, 2463257512255693218ull, + 15193673869258292797ull, 741069371118ull}}, +{{10576322403650218747ull, 7690757908747004427ull, + 9768720299718090188ull, 926336713898ull}}, +{{4304358493067692765ull, 14030095729821653575ull, + 10717136205751194271ull, 578960446186ull}}, +{{768762097907228052ull, 12925933643849679065ull, + 4173048220334217031ull, 723700557733ull}}, +{{5572638640811422969ull, 11545731036384710927ull, + 9827996293845159193ull, 904625697166ull}}, +{{10400428178148221212ull, 298552870099362473ull, + 1530811665225836592ull, 565391060729ull}}, +{{17612221241112664419ull, 373191087624203091ull, + 6525200599959683644ull, 706738825911ull}}, +{{17403590532963442619ull, 466488859530253864ull, + 3544814731522216651ull, 883423532389ull}}, +{{10877244083102151637ull, 16432456601702266329ull, + 4521352216415079358ull, 552139707743ull}}, +{{18208241122305077450ull, 11317198715273057103ull, + 1040004252091461294ull, 690174634679ull}}, +{{18148615384453958909ull, 4923126357236545571ull, + 15135063370396490330ull, 862718293348ull}}, +{{18074083212140060732ull, 15377279983400457772ull, + 472085139286061296ull, 1078397866686ull}}, +{{2072929970732762150ull, 9610799989625286108ull, + 14130111267335952022ull, 673998666678ull}}, +{{2591162463415952687ull, 2790127950176831827ull, + 8439267047315164220ull, 842498333348ull}}, +{{17074011134552104570ull, 3487659937721039783ull, + 10549083809143955275ull, 1053122916685ull}}, +{{17588785986736147213ull, 18320688525571507528ull, + 8899020389928665998ull, 658201822928ull}}, +{{3539238409710632400ull, 13677488620109608603ull, + 11123775487410832498ull, 822752278660ull}}, +{{18259106067420454212ull, 7873488738282234945ull, + 13904719359263540623ull, 1028440348325ull}}, +{{4494412264496702026ull, 11838459489067478697ull, + 10996292608753406841ull, 642775217703ull}}, +{{10229701349048265437ull, 963016306052184659ull, + 9133679742514370648ull, 803469022129ull}}, +{{8175440667882943892ull, 1203770382565230824ull, + 16028785696570351214ull, 1004336277661ull}}, +{{5109650417426839933ull, 14587414544385432977ull, + 12323834069570163460ull, 627710173538ull}}, +{{10998749040210937820ull, 18234268180481791221ull, + 6181420550107928517ull, 784637716923ull}}, +{{18360122318691060179ull, 8957777170320075314ull, + 3115089669207522743ull, 980797146154ull}}, +{{16086762467609300516ull, 12516139759091128927ull, + 6558617061682089618ull, 612998216346ull}}, +{{15496767066084237741ull, 6421802662009135351ull, + 17421643363957387831ull, 766247770432ull}}, +{{14759272814177909272ull, 3415567309084031285ull, + 3330310131237183173ull, 957809713041ull}}, +{{11530388518074887247ull, 4440572577391213505ull, + 13610658878091709243ull, 598631070650ull}}, +{{577927592311445347ull, 939029703311628978ull, 7789951560759860746ull, + 748288838313ull}}, +{{9945781527244082491ull, 10397159165994312030ull, + 14349125469377213836ull, 935361047891ull}}, +{{1604427436100163653ull, 15721596515601220827ull, + 6662360409147064695ull, 584600654932ull}}, +{{15840592350407368278ull, 15040309626074138129ull, + 8327950511433830869ull, 730750818665ull}}, +{{5965682382727046636ull, 4965328977310508950ull, + 15021624157719676491ull, 913438523331ull}}, +{{17563609544486567859ull, 797487601605374141ull, + 7082672089361103855ull, 570899077082ull}}, +{{8119453875326046112ull, 14831917557288881389ull, + 18076712148556155626ull, 713623846352ull}}, +{{14761003362584945544ull, 9316524909756325928ull, + 4149146111985642917ull, 892029807941ull}}, +{{9225627101615590965ull, 8128671077811397657ull, + 4899059329204720775ull, 557518629963ull}}, +{{16143719895446876610ull, 5549152828836859167ull, + 1512138143078513065ull, 696898287454ull}}, +{{15567963850881207859ull, 11548127054473461863ull, + 11113544715702917139ull, 871122859317ull}}, +{{14848268795174121920ull, 9823472799664439425ull, 56872839346482712ull, + 1088903574147ull}}, +{{2362638969342744344ull, 6139670499790274641ull, + 16176446589087409359ull, 680564733841ull}}, +{{7564984730105818334ull, 3062902106310455397ull, + 6385500181077097987ull, 850705917302ull}}, +{{14067916931059660821ull, 17663685688170232958ull, + 17205247263201148291ull, 1063382396627ull}}, +{{4180762063484900109ull, 8733960545892701647ull, + 8447436530287023730ull, 664613997892ull}}, +{{614266560928737233ull, 1694078645511101251ull, + 10559295662858779663ull, 830767497365ull}}, +{{14602891256443085253ull, 15952656362171040275ull, + 17810805597000862482ull, 1038459371706ull}}, +{{6820964026063234331ull, 14582096244784288076ull, + 15743439516552926955ull, 649037107316ull}}, +{{8526205032579042914ull, 13615934287552972191ull, + 1232555321981607078ull, 811296384146ull}}, +{{6046070272296415738ull, 7796545822586439431ull, + 10764066189331784656ull, 1014120480182ull}}, +{{10696322947826341692ull, 4872841139116524644ull, + 2115855349904977506ull, 633825300114ull}}, +{{13370403684782927115ull, 15314423460750431613ull, + 11868191224235997690ull, 792281625142ull}}, +{{2877946550696495182ull, 9919657289083263709ull, + 5611866993440221305ull, 990352031428ull}}, +{{4104559603399003441ull, 17729000851745509578ull, + 12730788907754914123ull, 618970019642ull}}, +{{14354071541103530109ull, 17549565046254499068ull, + 6690114097838866846ull, 773712524553ull}}, +{{17942589426379412636ull, 12713584270963348027ull, + 12974328640725971462ull, 967140655691ull}}, +{{8908275382273438946ull, 3334304150924704613ull, + 5803112391240038212ull, 604462909807ull}}, +{{15747030246269186586ull, 4167880188655880766ull, + 2642204470622659861ull, 755578637259ull}}, +{{10460415770981707425ull, 9821536254247238862ull, + 17137813643560488538ull, 944473296573ull}}, +{{1926073838436179237ull, 10750146177331912193ull, + 13016976536438999288ull, 590295810358ull}}, +{{7019278316472611950ull, 13437682721664890241ull, + 7047848633693973302ull, 737869762948ull}}, +{{13385783914018152841ull, 7573731365226336993ull, + 8809810792117466628ull, 922337203685ull}}, +{{1448585918620263670ull, 13956954140121236429ull, + 7811974754287110594ull, 576460752303ull}}, +{{6422418416702717491ull, 8222820638296769728ull, + 5153282424431500339ull, 720575940379ull}}, +{{8028023020878396864ull, 5666839779443574256ull, + 1829917012111987520ull, 900719925474ull}}, +{{5017514388048998040ull, 3541774862152233910ull, + 5755384150997380104ull, 562949953421ull}}, +{{15495265021916023358ull, 4427218577690292387ull, + 11805916207174113034ull, 703687441776ull}}, +{{14757395258967641293ull, 14757395258967641292ull, + 14757395258967641292ull, 879609302220ull}}, +{{0ull, 0ull, 0ull, 1099511627776ull}}, +{{0ull, 0ull, 0ull, 687194767360ull}}, +{{0ull, 0ull, 0ull, 858993459200ull}}, +{{0ull, 0ull, 0ull, 1073741824000ull}}, +{{0ull, 0ull, 0ull, 671088640000ull}}, +{{0ull, 0ull, 0ull, 838860800000ull}}, +{{0ull, 0ull, 0ull, 1048576000000ull}}, +{{0ull, 0ull, 0ull, 655360000000ull}}, +{{0ull, 0ull, 0ull, 819200000000ull}}, +{{0ull, 0ull, 0ull, 1024000000000ull}}, +{{0ull, 0ull, 0ull, 640000000000ull}}, +{{0ull, 0ull, 0ull, 800000000000ull}}, +{{0ull, 0ull, 0ull, 1000000000000ull}}, +{{0ull, 0ull, 0ull, 625000000000ull}}, +{{0ull, 0ull, 0ull, 781250000000ull}}, +{{0ull, 0ull, 0ull, 976562500000ull}}, +{{0ull, 0ull, 0ull, 610351562500ull}}, +{{0ull, 0ull, 0ull, 762939453125ull}}, +{{0ull, 0ull, 4611686018427387904ull, 953674316406ull}}, +{{0ull, 0ull, 16717361816799281152ull, 596046447753ull}}, +{{0ull, 0ull, 7061644215716937728ull, 745058059692ull}}, +{{0ull, 0ull, 8827055269646172160ull, 931322574615ull}}, +{{0ull, 0ull, 12434438571169939456ull, 582076609134ull}}, +{{0ull, 0ull, 6319676177107648512ull, 727595761418ull}}, +{{0ull, 0ull, 17122967258239336448ull, 909494701772ull}}, +{{0ull, 0ull, 1478482499544809472ull, 568434188608ull}}, +{{0ull, 0ull, 1848103124431011840ull, 710542735760ull}}, +{{0ull, 0ull, 2310128905538764800ull, 888178419700ull}}, +{{0ull, 0ull, 10667202602816503808ull, 555111512312ull}}, +{{0ull, 0ull, 13334003253520629760ull, 693889390390ull}}, +{{0ull, 0ull, 7444132030046011392ull, 867361737988ull}}, +{{0ull, 0ull, 9305165037557514240ull, 1084202172485ull}}, +{{0ull, 0ull, 8121571157687140352ull, 677626357803ull}}, +{{0ull, 0ull, 5540277928681537536ull, 847032947254ull}}, +{{0ull, 0ull, 16148719447706697728ull, 1058791184067ull}}, +{{0ull, 0ull, 7787106645602992128ull, 661744490042ull}}, +{{0ull, 0ull, 510511270148964352ull, 827180612553ull}}, +{{0ull, 0ull, 5249825106113593344ull, 1033975765691ull}}, +{{0ull, 0ull, 975297682107301888ull, 646234853557ull}}, +{{0ull, 0ull, 5830808121061515264ull, 807793566946ull}} +}; + +static const UINT256 multipliers2_binary32[] = + { {{12230317112597168372ull, 12964188775534322552ull, + 9551240831114137572ull, 325925756213ull}}, +{{15287896390746460465ull, 16205235969417903190ull, + 16550737057320059869ull, 407407195266ull}}, +{{9886498451578299773ull, 6421486906490215276ull, + 11465049284795299029ull, 509258994083ull}}, +{{15402433569091213166ull, 6319272325770078499ull, + 4859812793783367941ull, 318286871302ull}}, +{{14641355942936628554ull, 12510776425639986028ull, + 15298138029083985734ull, 397858589127ull}}, +{{18301694928670785692ull, 6415098495195206727ull, + 14510986517927594264ull, 497323236409ull}}, +{{18356088358060322914ull, 4009436559497004204ull, + 2151837546063664559ull, 310827022756ull}}, +{{4498366373865852026ull, 400109680943867352ull, 2689796932579580699ull, + 388533778445ull}}, +{{5622957967332315033ull, 14335195156461997902ull, + 7973932184151863777ull, 485667223056ull}}, +{{17349406784864860608ull, 2041967945147666832ull, + 4983707615094914861ull, 303542014410ull}}, +{{3240014407371524143ull, 7164145949861971445ull, + 15453006555723419384ull, 379427518012ull}}, +{{8661704027641793083ull, 8955182437327464306ull, 869514120944722614ull, + 474284397516ull}}, +{{10025251035703508581ull, 985303004902277287ull, + 9766818362445227442ull, 296427748447ull}}, +{{7919877776201997822ull, 10455000792982622417ull, + 7596836934629146398ull, 370534685559ull}}, +{{14511533238679885182ull, 3845378954373502213ull, + 4884360149859045094ull, 463168356949ull}}, +{{11375551283388622191ull, 16238419901765602595ull, + 5358568102875597135ull, 289480223093ull}}, +{{9607753085808389834ull, 15686338858779615340ull, + 11309896147021884323ull, 361850278866ull}}, +{{12009691357260487293ull, 14996237555047131271ull, + 4913998146922579596ull, 452312848583ull}}, +{{14423586125928886414ull, 149276435049681236ull, + 9988777869467694104ull, 282695530364ull}}, +{{18029482657411108018ull, 186595543812101545ull, + 12485972336834617630ull, 353369412955ull}}, +{{8701795266481721310ull, 9456616466619902740ull, + 10995779402615884133ull, 441711766194ull}}, +{{14661994078405851627ull, 8216228300851133164ull, + 11484048145062315487ull, 276069853871ull}}, +{{18327492598007314533ull, 5658599357636528551ull, + 9743374162900506455ull, 345087317339ull}}, +{{18297679729081755263ull, 2461563178618272785ull, + 7567531685198245165ull, 431359146674ull}}, +{{9037041606070030366ull, 7688639991700228886ull, 236042569643030648ull, + 539198933343ull}}, +{{1036464985366381075ull, 4805399994812643054ull, + 7065055633667976011ull, 336999333339ull}}, +{{10518953268562752152ull, 1395063975088415913ull, + 4219633523657582110ull, 421249166674ull}}, +{{17760377604130828093ull, 10967202005715295699ull, + 14497913941426753445ull, 526561458342ull}}, +{{8794392993368073607ull, 9160344262785753764ull, + 4449510194964332999ull, 329100911464ull}}, +{{10992991241710092008ull, 6838744310054804301ull, + 5561887743705416249ull, 411376139330ull}}, +{{18352925070565002914ull, 13160116405995893280ull, + 16175731716486546119ull, 514220174162ull}}, +{{11470578169103126821ull, 15142601781388515156ull, + 14721518341231479228ull, 321387608851ull}}, +{{14338222711378908527ull, 481508153026092329ull, + 13790211908111961132ull, 401734511064ull}}, +{{4087720333941471946ull, 601885191282615412ull, + 17237764885139951415ull, 502168138830ull}}, +{{11778197245568195775ull, 7293707272192716488ull, + 6161917034785081730ull, 313855086769ull}}, +{{14722746556960244718ull, 18340506127095671418ull, + 12314082311908740066ull, 392318858461ull}}, +{{9180061159345530090ull, 13702260622014813465ull, + 1557544834603761371ull, 490398573077ull}}, +{{17266753270659426066ull, 6258069879545564463ull, + 3279308530841044809ull, 306499108173ull}}, +{{16971755569896894679ull, 12434273367859343483ull, + 8710821681978693915ull, 383123885216ull}}, +{{16603008443943730444ull, 10931155691396791450ull, + 10888527102473367394ull, 478904856520ull}}, +{{14988566295892219432ull, 11443658325550382560ull, + 6805329439045854621ull, 299315535325ull}}, +{{288963796155722674ull, 469514851655814489ull, 13118347817234706181ull, + 374144419156ull}}, +{{4972890763622041246ull, 5198579582997156015ull, + 16397934771543382726ull, 467680523945ull}}, +{{10025585754904857635ull, 17084170294655386221ull, + 3331180204573532347ull, 292300327466ull}}, +{{17143668212058459947ull, 16743526849891844872ull, + 13387347292571691242ull, 365375409332ull}}, +{{2982841191363523318ull, 11706036525510030283ull, + 16734184115714614053ull, 456719261665ull}}, +{{18005176809098059738ull, 9622115837657462878ull, + 3541336044680551927ull, 285449538541ull}}, +{{13283098974517798864ull, 7415958778644440694ull, + 9038356074278077813ull, 356811923176ull}}, +{{7380501681292472772ull, 13881634491732938772ull, + 11297945092847597266ull, 446014903970ull}}, +{{13836185587662571291ull, 13287707575760474636ull, + 11672901701457136195ull, 278759314981ull}}, +{{17295231984578214113ull, 11997948451273205391ull, + 756069071539256532ull, 348449143727ull}}, +{{17007353962295379738ull, 14997435564091506739ull, + 14780144394706234377ull, 435561429658ull}}, +{{16647506434441836768ull, 4911736399832219712ull, + 9251808456528017164ull, 544451787073ull}}, +{{10404691521526147980ull, 12293207286749913128ull, + 17311595331398480487ull, 340282366920ull}}, +{{13005864401907684975ull, 10754823090010003506ull, + 3192750090538548993ull, 425352958651ull}}, +{{7033958465529830411ull, 18055214880939892287ull, + 17825995668455349953ull, 531691198313ull}}, +{{11313753068597225863ull, 4366980272946350823ull, + 4223718265143511865ull, 332306998946ull}}, +{{9530505317319144425ull, 10070411359610326433ull, + 14503019868284165639ull, 415383748682ull}}, +{{16524817665076318435ull, 7976328181085520137ull, + 8905402798500431241ull, 519229685853ull}}, +{{3410482013031617166ull, 16514420159246919846ull, + 7871719758276463477ull, 324518553658ull}}, +{{13486474553144297265ull, 6807967143776486095ull, + 616277660990803539ull, 405648192073ull}}, +{{12246407173002983677ull, 3898272911293219715ull, + 5382033094665892328ull, 507060240091ull}}, +{{5348161473913170846ull, 2436420569558262322ull, + 1057927674952488753ull, 316912650057ull}}, +{{15908573879246239366ull, 7657211730375215806ull, + 5934095612117998845ull, 396140812571ull}}, +{{10662345312203023399ull, 14183200681396407662ull, + 2805933496720110652ull, 495176015714ull}}, +{{2052279801699501721ull, 18087872462727530597ull, + 6365394453877457061ull, 309485009821ull}}, +{{7177035770551765055ull, 8774782523127249534ull, + 12568429085774209231ull, 386856262276ull}}, +{{18194666750044482126ull, 6356792135481674013ull, + 15710536357217761539ull, 483570327845ull}}, +{{13677509727991495281ull, 1667152075462352306ull, + 12124928232474794914ull, 302231454903ull}}, +{{7873515123134593293ull, 11307312131182716191ull, + 10544474272166105738ull, 377789318629ull}}, +{{5230207885490853713ull, 4910768127123619431ull, + 17792278858635020077ull, 472236648286ull}}, +{{10186408956072865427ull, 5375073088665956096ull, + 6508488268219499644ull, 295147905179ull}}, +{{12733011195091081783ull, 6718841360832445120ull, + 3523924316846986651ull, 368934881474ull}}, +{{15916263993863852229ull, 3786865682613168496ull, + 13628277432913509122ull, 461168601842ull}}, +{{9947664996164907643ull, 6978477070060618214ull, + 13129359413998331105ull, 288230376151ull}}, +{{3211209208351358746ull, 13334782356003160672ull, + 11800013249070525977ull, 360287970189ull}}, +{{4014011510439198432ull, 2833419889721787128ull, 914958506055993760ull, + 450359962737ull}}, +{{2508757194024499020ull, 1770887431076116955ull, + 12101064112353465860ull, 281474976710ull}}, +{{16971004547812787487ull, 2213609288845146193ull, + 5902958103587056517ull, 351843720888ull}}, +{{7378697629483820647ull, 7378697629483820646ull, + 7378697629483820646ull, 439804651110ull}}, +{{0ull, 0ull, 0ull, 549755813888ull}}, +{{0ull, 0ull, 0ull, 343597383680ull}}, +{{0ull, 0ull, 0ull, 429496729600ull}}, +{{0ull, 0ull, 0ull, 536870912000ull}}, +{{0ull, 0ull, 0ull, 335544320000ull}}, +{{0ull, 0ull, 0ull, 419430400000ull}}, +{{0ull, 0ull, 0ull, 524288000000ull}}, +{{0ull, 0ull, 0ull, 327680000000ull}}, +{{0ull, 0ull, 0ull, 409600000000ull}}, +{{0ull, 0ull, 0ull, 512000000000ull}}, +{{0ull, 0ull, 0ull, 320000000000ull}}, +{{0ull, 0ull, 0ull, 400000000000ull}}, +{{0ull, 0ull, 0ull, 500000000000ull}}, +{{0ull, 0ull, 0ull, 312500000000ull}}, +{{0ull, 0ull, 0ull, 390625000000ull}}, +{{0ull, 0ull, 0ull, 488281250000ull}}, +{{0ull, 0ull, 0ull, 305175781250ull}}, +{{0ull, 0ull, 9223372036854775808ull, 381469726562ull}}, +{{0ull, 0ull, 2305843009213693952ull, 476837158203ull}}, +{{0ull, 0ull, 17582052945254416384ull, 298023223876ull}}, +{{0ull, 0ull, 3530822107858468864ull, 372529029846ull}}, +{{0ull, 0ull, 13636899671677861888ull, 465661287307ull}}, +{{0ull, 0ull, 6217219285584969728ull, 291038304567ull}}, +{{0ull, 0ull, 3159838088553824256ull, 363797880709ull}}, +{{0ull, 0ull, 8561483629119668224ull, 454747350886ull}}, +{{0ull, 0ull, 739241249772404736ull, 284217094304ull}}, +{{0ull, 0ull, 924051562215505920ull, 355271367880ull}}, +{{0ull, 0ull, 1155064452769382400ull, 444089209850ull}}, +{{0ull, 0ull, 5333601301408251904ull, 277555756156ull}}, +{{0ull, 0ull, 6667001626760314880ull, 346944695195ull}}, +{{0ull, 0ull, 3722066015023005696ull, 433680868994ull}}, +{{0ull, 0ull, 13875954555633532928ull, 542101086242ull}}, +{{0ull, 0ull, 13284157615698345984ull, 338813178901ull}}, +{{0ull, 0ull, 2770138964340768768ull, 423516473627ull}}, +{{0ull, 0ull, 17297731760708124672ull, 529395592033ull}}, +{{0ull, 0ull, 3893553322801496064ull, 330872245021ull}}, +{{0ull, 0ull, 9478627671929257984ull, 413590306276ull}}, +{{0ull, 0ull, 11848284589911572480ull, 516987882845ull}}, +{{0ull, 0ull, 9711020877908426752ull, 323117426778ull}}, +{{0ull, 0ull, 2915404060530757632ull, 403896783473ull}} +}; + +// ********************************************************************** + +static const UINT128 breakpoints_binary64[] = + { {{5261314576080512960ull, 21426681862861333ull}}, +{{4728754506986910400ull, 34282690980578133ull}}, +{{11161701235073348928ull, 27426152784462506ull}}, +{{5240012173316768832ull, 21940922227570005ull}}, +{{8384019477306830144ull, 35105475564112008ull}}, +{{14085913211329284736ull, 28084380451289606ull}}, +{{7579381754321517504ull, 22467504361031685ull}}, +{{12127010806914427968ull, 35948006977650696ull}}, +{{6012259830789632064ull, 28758405582120557ull}}, +{{15877854308857436608ull, 23006724465696445ull}}, +{{12702283447085949312ull, 18405379572557156ull}}, +{{12944955885853698240ull, 29448607316091450ull}}, +{{10355964708682958592ull, 23558885852873160ull}}, +{{8284771766946366848ull, 18847108682298528ull}}, +{{9566286012372276672ull, 30155373891677645ull}}, +{{7653028809897821312ull, 24124299113342116ull}}, +{{2433074233176346752ull, 19299439290673693ull}}, +{{203569958340244480ull, 30879102865077909ull}}, +{{3852204781414105920ull, 24703282292062327ull}}, +{{14149810269357015680ull, 19762625833649861ull}}, +{{15260998801487404480ull, 31620201333839778ull}}, +{{1140752596964192576ull, 25296161067071823ull}}, +{{8291299707055174720ull, 20236928853657458ull}}, +{{9576730716546369216ull, 32379086165851933ull}}, +{{15040082202720916032ull, 25903268932681546ull}}, +{{8342716947434822464ull, 20722615146145237ull}}, +{{17037695930637626304ull, 33156184233832379ull}}, +{{17319505559252011392ull, 26524947387065903ull}}, +{{2787558003175878144ull, 21219957909652723ull}}, +{{770743990339494720ull, 33951932655444357ull}}, +{{11684641636497326720ull, 27161546124355485ull}}, +{{9347713309197861376ull, 21729236899484388ull}}, +{{11266992479974667904ull, 34766779039175021ull}}, +{{5324245169237824000ull, 27813423231340017ull}}, +{{15327442579615990144ull, 22250738585072013ull}}, +{{2387815238934122304ull, 35601181736115222ull}}, +{{12978298635373028800ull, 28480945388892177ull}}, +{{3003941278814602368ull, 22784756311113742ull}}, +{{13471199467277412864ull, 18227805048890993ull}}, +{{17864570332901950336ull, 29164488078225589ull}}, +{{17981005081063470592ull, 23331590462580471ull}}, +{{10695455250108866112ull, 18665272370064377ull}}, +{{2355333141206544512ull, 29864435792103004ull}}, +{{5573615327707145920ull, 23891548633682403ull}}, +{{11837589891649537408ull, 19113238906945922ull}}, +{{4182748567671618560ull, 30581182251113476ull}}, +{{18103594113104936128ull, 24464945800890780ull}}, +{{14482875290483948864ull, 19571956640712624ull}}, +{{12104554020548587264ull, 31315130625140199ull}}, +{{13372992031180780160ull, 25052104500112159ull}}, +{{14387742439686534400ull, 20041683600089727ull}}, +{{8262992644530813824ull, 32066693760143564ull}}, +{{10299742930366561344ull, 25653355008114851ull}}, +{{4550445529551338752ull, 20522684006491881ull}}, +{{18348759291507873024ull, 32836294410387009ull}}, +{{18368356247948208704ull, 26269035528309607ull}}, +{{7315987368874746304ull, 21015228422647686ull}}, +{{4326882160715773504ull, 33624365476236298ull}}, +{{10840203358056439424ull, 26899492380989038ull}}, +{{16050860315928972160ull, 21519593904791230ull}}, +{{7234632431776803904ull, 34431350247665969ull}}, +{{9477054760163353472ull, 27545080198132775ull}}, +{{7581643808130682752ull, 22036064158506220ull}}, +{{12130630093009092416ull, 35257702653609952ull}}, +{{2325806444923453248ull, 28206162122887962ull}}, 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+{{11187941737021610816ull, 20837545102749544ull}}, +{{6832660335008846336ull, 33340072164399271ull}}, +{{1776779453265166784ull, 26672057731519417ull}}, +{{12489470006837864384ull, 21337646185215533ull}}, +{{16293803196198672704ull, 34140233896344853ull}}, +{{1966996112733207168ull, 27312187117075883ull}}, +{{8952294519670386368ull, 21849749693660706ull}}, +{{6944973601988797568ull, 34959599509857130ull}}, +{{5555978881591038080ull, 27967679607885704ull}}, +{{8134131920014740736ull, 22374143686308563ull}}, +{{9325262257281674880ull, 35798629898093701ull}}, +{{3770860991083429568ull, 28638903918474961ull}}, +{{17774084051834384960ull, 22911123134779968ull}}, +{{3151220797241777024ull, 18328898507823975ull}}, +{{5041953275586843200ull, 29326237612518360ull}}, +{{4033562620469474560ull, 23460990090014688ull}}, +{{10605547725859400320ull, 18768792072011750ull}}, +{{16968876361375040512ull, 30030067315218800ull}}, +{{13575101089100032384ull, 24024053852175040ull}}, +{{10860080871280025920ull, 19219243081740032ull}}, +{{2618734135080400192ull, 30750788930784052ull}}, +{{13163033752290051072ull, 24600631144627241ull}}, +{{6841078187090130560ull, 19680504915701793ull}}, +{{7256376284602298560ull, 31488807865122869ull}}, +{{9494449842423749184ull, 25191046292098295ull}}, +{{7595559873938999360ull, 20152837033678636ull}}, +{{4774198168818578304ull, 32244539253885818ull}}, +{{11198056164538683264ull, 25795631403108654ull}}, +{{12647793746372856960ull, 20636505122486923ull}}, +{{16547121179454660800ull, 33018408195979077ull}}, +{{5858999314079907968ull, 26414726556783262ull}}, +{{15755245895489657344ull, 21131781245426609ull}}, +{{14140346988557720832ull, 33810849992682575ull}}, +{{11312277590846176640ull, 27048679994146060ull}}, +{{9049822072676941312ull, 21638943995316848ull}}, +{{10790366501541195776ull, 34622310392506957ull}}, +{{1253595571749136000ull, 27697848314005566ull}}, +{{15760271716366950080ull, 22158278651204452ull}}, +{{10459039487219478848ull, 35453245841927124ull}}, +{{12056580404517493376ull, 28362596673541699ull}}, +{{13334613138355905024ull, 22690077338833359ull}}, +{{14357039325426634368ull, 18152061871066687ull}}, +{{8213867661714973696ull, 29043298993706700ull}}, +{{6571094129371978944ull, 23234639194965360ull}}, +{{5256875303497583168ull, 18587711355972288ull}}, +{{4721651670854222720ull, 29740338169555661ull}}, +{{87972521941467840ull, 23792270535644529ull}}, +{{3759726832295084608ull, 19033816428515623ull}}, +{{2326214116930225024ull, 30454106285624997ull}}, +{{12929017737769910976ull, 24363285028499997ull}}, +{{2964516560732108160ull, 19490628022799998ull}}, +{{1053877682429462720ull, 31185004836479997ull}}, +{{11911148590169301120ull, 24948003869183997ull}}, +{{2150221242651620288ull, 19958403095347198ull}}, +{{18197749247210233728ull, 31933444952555516ull}}, +{{10868850583026276672ull, 25546755962044413ull}}, +{{16073778095904841984ull, 20437404769635530ull}}, +{{7271300879738195520ull, 32699847631416849ull}}, +{{9506389518532466752ull, 26159878105133479ull}}, +{{11294460429567883712ull, 20927902484106783ull}}, +{{14381787872566703680ull, 33484643974570853ull}}, +{{437383853827631936ull, 26787715179656683ull}}, +{{7728604712545926208ull, 21430172143725346ull}}, +{{4987069910589661312ull, 34288275429960554ull}}, +{{7679004743213639360ull, 27430620343968443ull}}, +{{13521901424054732096ull, 21944496275174754ull}}, +{{10566995834261840448ull, 35111194040279607ull}}, +{{1074899037925651712ull, 28088955232223686ull}}, +{{15617314489308162624ull, 22471164185778948ull}}, +{{2851610294441598336ull, 35953862697246318ull}}, +{{9659985865037099264ull, 28763090157797054ull}}, +{{11417337506771589760ull, 23010472126237643ull}}, +{{16512567634901092416ull, 18408377700990114ull}}, +{{15352061771616016960ull, 29453404321584183ull}}, +{{1213602973067082560ull, 23562723457267347ull}}, +{{12038928822679397056ull, 18850178765813877ull}}, +{{4504890857319393984ull, 30160286025302204ull}}, +{{7293261500597425472ull, 24128228820241763ull}}, +{{13213306829961761024ull, 19302583056193410ull}}, +{{2694546854229266048ull, 30884132889909457ull}}, +{{13223683927609143808ull, 24707306311927565ull}}, +{{10578947142087315072ull, 19765845049542052ull}}, +{{2168920168372062784ull, 31625352079267284ull}}, +{{5424484949439560576ull, 25300281663413827ull}}, +{{15407634403777379392ull, 20240225330731061ull}}, +{{17273517416559986432ull, 32384360529169698ull}}, +{{2750767489022258176ull, 25907488423335759ull}} +}; + +static const int exponents_binary64[] = { -55, + -51, + -48, + -45, + -41, + -38, + -35, + -31, + -28, + -25, + -22, + -18, + -15, + -12, + -8, + -5, + -2, + 2, + 5, + 8, + 12, + 15, + 18, + 22, + 25, + 28, + 32, + 35, + 38, + 42, + 45, + 48, + 52, + 55, + 58, + 62, + 65, + 68, + 71, + 75, + 78, + 81, + 85, + 88, + 91, + 95, + 98, + 101, + 105, + 108, + 111, + 115, + 118, + 121, + 125, + 128, + 131, + 135, + 138, + 141, + 145, + 148, + 151, + 155, + 158, + 161, + 164, + 168, + 171, + 174, + 178, + 181, + 184, + 188, + 191, + 194, + 198, + 201, + 204, + 208, + 211, + 214, + 218, + 221, + 224, + 228, + 231, + 234, + 238, + 241, + 244, + 248, + 251, + 254, + 258, + 261, + 264, + 267, + 271, + 274, + 277, + 281, + 284, + 287, + 291, + 294, + 297, + 301, + 304, + 307, + 311, + 314, + 317, + 321, + 324, + 327, + 331, + 334, + 337, + 341, + 344, + 347, + 351, + 354, + 357, + 360, + 364, + 367, + 370, + 374, + 377, + 380, + 384, + 387, + 390, + 394, + 397, + 400, + 404, + 407, + 410, + 414, + 417, + 420, + 424, + 427, + 430, + 434, + 437, + 440, + 444, + 447, + 450, + 454, + 457, + 460, + 463, + 467, + 470, + 473, + 477, + 480, + 483, + 487, + 490, + 493, + 497, + 500, + 503, + 507, + 510, + 513, + 517, + 520, + 523, + 527, + 530, + 533, + 537, + 540, + 543, + 547, + 550, + 553, + 556, + 560, + 563, + 566, + 570, + 573, + 576, + 580, + 583, + 586, + 590, + 593, + 596, + 600, + 603, + 606, + 610, + 613, + 616, + 620, + 623, + 626, + 630, + 633, + 636, + 640, + 643, + 646, + 649, + 653, + 656, + 659, + 663, + 666, + 669, + 673, + 676, + 679, + 683, + 686, + 689, + 693, + 696, + 699, + 703, + 706, + 709, + 713, + 716, + 719, + 723, + 726, + 729, + 733, + 736, + 739, + 743, + 746, + 749, + 752, + 756, + 759, + 762, + 766, + 769, + 772, + 776, + 779, + 782, + 786, + 789, + 792, + 796, + 799, + 802, + 806, + 809, + 812, + 816, + 819, + 822, + 826, + 829, + 832, + 836, + 839, + 842, + 845, + 849, + 852, + 855, + 859, + 862, + 865, + 869, + 872, + 875, + 879, + 882, + 885, + 889, + 892, + 895, + 899, + 902, + 905, + 909, + 912, + 915, + 919, + 922, + 925, + 929, + 932, + 935, + 939, + 942, + 945, + 948, + 952, + 955, + 958, + 962, + 965, + 968, + 972, + 975, + 978, + 982, + 985, + 988, + 992, + 995, + 998, + 1002, + 1005, + 1008, + 1012, + 1015, + 1018, + 1022, + 1025, + 1028, + 1032, + 1035, + 1038, + 1041, + 1045, + 1048, + 1051, + 1055, + 1058, + 1061, + 1065, + 1068, + 1071, + 1075, + 1078, + 1081, + 1085, + 1088, + 1091, + 1095, + 1098, + 1101, + 1105, + 1108, + 1111, + 1115, + 1118, + 1121, + 1125, + 1128, + 1131, + 1134, + 1138, + 1141, + 1144, + 1148, + 1151, + 1154, + 1158, + 1161, + 1164, + 1168, + 1171, + 1174, + 1178, + 1181, + 1184, + 1188, + 1191, + 1194, + 1198, + 1201, + 1204, + 1208, + 1211, + 1214, + 1218, + 1221, + 1224, + 1228, + 1231, + 1234, + 1237, + 1241, + 1244, + 1247, + 1251, + 1254, + 1257, + 1261, + 1264, + 1267, + 1271, + 1274, + 1277, + 1281, + 1284, + 1287, + 1291, + 1294, + 1297, + 1301, + 1304, + 1307, + 1311, + 1314, + 1317, + 1321, + 1324, + 1327, + 1330, + 1334, + 1337, + 1340, + 1344, + 1347, + 1350, + 1354, + 1357, + 1360, + 1364, + 1367, + 1370, + 1374, + 1377, + 1380, + 1384, + 1387, + 1390, + 1394, + 1397, + 1400, + 1404, + 1407, + 1410, + 1414, + 1417, + 1420, + 1424, + 1427, + 1430, + 1433, + 1437, + 1440, + 1443, + 1447, + 1450, + 1453, + 1457, + 1460, + 1463, + 1467, + 1470, + 1473, + 1477, + 1480, + 1483, + 1487, + 1490, + 1493, + 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1912, + 1915, + 1918, + 1922, + 1925, + 1928, + 1932, + 1935, + 1938, + 1942, + 1945, + 1948, + 1952, + 1955, + 1958, + 1962, + 1965, + 1968, + 1972, + 1975, + 1978, + 1982, + 1985, + 1988, + 1992, + 1995, + 1998, + 2002, + 2005, + 2008, + 2011, + 2015, + 2018, + 2021, + 2025, + 2028, + 2031, + 2035, + 2038, + 2041, + 2045, + 2048, + 2051, + 2055, + 2058, + 2061, + 2065, + 2068, + 2071, + 2075, + 2078, + 2081, + 2085, + 2088, + 2091, + 2095, + 2098, + 2101, + 2105, + 2108, + 2111, + 2114, + 2118, + 2121, + 2124, + 2128, + 2131, + 2134, + 2138, + 2141, + 2144, + 2148, + 2151, + 2154, + 2158, + 2161, +}; + +static const UINT256 multipliers1_binary64[] = + { {{1837554224478941466ull, 10276842184138466546ull, + 11651621577776737258ull, 7754513766366540701ull}}, +{{5760157408726726321ull, 11034712383513929495ull, + 9588106495324154738ull, 4846571103979087938ull}}, +{{2588510742481019997ull, 4570018442537636061ull, + 2761761082300417615ull, 6058213879973859923ull}}, +{{7847324446528662900ull, 1100837034744657172ull, + 17287259408157685731ull, 7572767349967324903ull}}, +{{14127949815935190120ull, 16828924211211268396ull, + 17722066157739635437ull, 4732979593729578064ull}}, +{{17659937269918987650ull, 7201097208731921783ull, + 3705838623464992681ull, 5916224492161972581ull}}, +{{17463235568971346659ull, 13613057529342290133ull, + 9243984297758628755ull, 7395280615202465726ull}}, +{{13220365239820785614ull, 6202317946625237381ull, + 1165804167671755068ull, 4622050384501541079ull}}, +{{2690398494493818305ull, 7752897433281546727ull, + 15292313264871857547ull, 5777562980626926348ull}}, +{{17198056173399436594ull, 5079435773174545504ull, + 668647507380270318ull, 7221953725783657936ull}}, +{{3050826143039744126ull, 15572666753322957689ull, + 835809384225337897ull, 9027442157229572420ull}}, +{{13435981385468309839ull, 2815387693185766699ull, + 9745752901995611994ull, 5642151348268482762ull}}, +{{12183290713407999394ull, 12742606653336984182ull, + 2958819090639739184ull, 7052689185335603453ull}}, +{{6005741354905223435ull, 15928258316671230228ull, + 8310209881727061884ull, 8815861481669504316ull}}, +{{12976960383670540455ull, 731789411064743084ull, + 14417253212934189486ull, 5509913426043440197ull}}, +{{16221200479588175569ull, 10138108800685704663ull, + 4186508460885573145ull, 6887391782554300247ull}}, +{{15664814581057831557ull, 17284322019284518733ull, + 621449557679578527ull, 8609239728192875309ull}}, +{{12096352122374838675ull, 17720230289693906064ull, + 2694248982763430531ull, 5380774830120547068ull}}, +{{15120440152968548344ull, 17538601843689994676ull, + 3367811228454288164ull, 6725968537650683835ull}}, +{{453806117501133814ull, 3476508230902941730ull, + 18044822090850023918ull, 8407460672063354793ull}}, +{{4895314841865596538ull, 16007875699596502293ull, + 4360484779140183092ull, 5254662920039596746ull}}, +{{10730829570759383576ull, 1563100550786076250ull, + 14673978010780004674ull, 6568328650049495932ull}}, +{{4190164926594453662ull, 11177247725337371121ull, + 18342472513475005842ull, 8210410812561869915ull}}, +{{14148068125190003299ull, 11597465846763244854ull, + 9158202311708184699ull, 5131506757851168697ull}}, +{{8461713119632728315ull, 9885146290026668164ull, + 16059438908062618778ull, 6414383447313960871ull}}, +{{10577141399540910394ull, 3133060825678559397ull, + 15462612616650885569ull, 8017979309142451089ull}}, +{{8916556383926762949ull, 13487378062117569383ull, + 2746603857765721624ull, 5011237068214031931ull}}, +{{6534009461481065782ull, 16859222577646961729ull, + 17268312877489315742ull, 6264046335267539913ull}}, +{{12779197845278720131ull, 11850656185203926353ull, + 7750333041579480966ull, 7830057919084424892ull}}, +{{1069469625658118226ull, 2794974097325066067ull, + 14067330187841951412ull, 4893786199427765557ull}}, +{{15171895087354811494ull, 3493717621656332583ull, + 3749104679520275553ull, 6117232749284706947ull}}, +{{14353182840766126464ull, 8978833045497803633ull, 74694830972956537ull, + 7646540936605883684ull}}, +{{2053210247837747184ull, 17140985699504597031ull, + 9270056306212873643ull, 4779088085378677302ull}}, +{{16401570865079347692ull, 16814546105953358384ull, + 2364198345911316246ull, 5973860106723346628ull}}, +{{2055219507639632999ull, 11794810595586922173ull, + 2955247932389145308ull, 7467325133404183285ull}}, +{{3590355201488464576ull, 16595128659096602166ull, + 4152872966956909769ull, 4667078208377614553ull}}, +{{13711316038715356528ull, 6908852768588588995ull, + 9802777227123525116ull, 5833847760472018191ull}}, +{{12527459029966807756ull, 8636065960735736244ull, + 7641785515477018491ull, 7292309700590022739ull}}, +{{15659323787458509695ull, 6183396432492282401ull, + 4940545875918885210ull, 9115387125737528424ull}}, +{{2869548339520486704ull, 8476308788735064405ull, + 3087841172449303256ull, 5697116953585955265ull}}, +{{8198621442827996284ull, 10595385985918830506ull, + 8471487483989016974ull, 7121396191982444081ull}}, +{{1024904766680219546ull, 4020860445543762325ull, + 15201045373413659122ull, 8901745239978055101ull}}, +{{2946408488388831169ull, 7124723796892239357ull, + 11806496367597230903ull, 5563590774986284438ull}}, +{{8294696628913426865ull, 4294218727687911292ull, + 5534748422641762821ull, 6954488468732855548ull}}, +{{10368370786141783581ull, 9979459428037277019ull, + 6918435528302203526ull, 8693110585916069435ull}}, +{{4174388732124920786ull, 1625476124095910233ull, + 2018179195975183252ull, 5433194116197543397ull}}, +{{9829671933583538887ull, 2031845155119887791ull, + 7134410013396366969ull, 6791492645246929246ull}}, +{{7675403898552035704ull, 7151492462327247643ull, + 18141384553600234519ull, 8489365806558661557ull}}, +{{2491284427381328363ull, 11387211816595611633ull, + 13644208355213840526ull, 5305853629099163473ull}}, +{{7725791552654048358ull, 5010642733889738733ull, + 3220202388735136946ull, 6632317036373954342ull}}, +{{14268925459244948351ull, 15486675454216949224ull, + 13248625022773696990ull, 8290396295467442927ull}}, +{{8918078412028092720ull, 5067486140458205361ull, + 15197919666874642475ull, 5181497684667151829ull}}, +{{15759284033462503804ull, 1722671657145368797ull, + 5162341528311139382ull, 6476872105833939787ull}}, +{{5864046986545966042ull, 11376711608286486805ull, + 1841240891961536323ull, 8096090132292424734ull}}, +{{5970872375804922729ull, 4804601745965360301ull, + 14985833612758123914ull, 5060056332682765458ull}}, +{{12075276488183541315ull, 15229124219311476184ull, + 9508919979092879084ull, 6325070415853456823ull}}, +{{15094095610229426643ull, 589661200429793614ull, + 7274463955438710952ull, 7906338019816821029ull}}, +{{4822123737966003748ull, 368538250268621009ull, 6852382981362888297ull, + 4941461262385513143ull}}, +{{10639340690884892589ull, 5072358831263164165ull, + 3953792708276222467ull, 6176826577981891429ull}}, +{{17910861882033503640ull, 1728762520651567302ull, + 9553926903772665988ull, 7721033222477364286ull}}, +{{6582602657843551871ull, 10303848612262005372ull, + 1359518296430528338ull, 4825645764048352679ull}}, +{{8228253322304439839ull, 3656438728472730907ull, + 15534455925820324135ull, 6032057205060440848ull}}, +{{5673630634453161895ull, 18405606465873077346ull, + 971325833565853552ull, 7540071506325551061ull}}, +{{8157705164960614088ull, 11503504041170673341ull, + 2912921655192352422ull, 4712544691453469413ull}}, +{{14808817474628155514ull, 5156008014608565868ull, + 8252838087417828432ull, 5890680864316836766ull}}, +{{64277769575642777ull, 6445010018260707336ull, 1092675572417509732ull, + 7363351080396045958ull}}, +{{80347211969553471ull, 8056262522825884170ull, 10589216502376662973ull, + 9204188850495057447ull}}, +{{4661903025908358824ull, 7341007085979871558ull, + 13535789341626496214ull, 5752618031559410904ull}}, +{{15050750819240224337ull, 18399630894329615255ull, + 16919736677033120267ull, 7190772539449263630ull}}, +{{14201752505622892517ull, 18387852599484631165ull, + 11926298809436624526ull, 8988465674311579538ull}}, +{{11181938325228001776ull, 6880721856250506574ull, + 12065622774325278233ull, 5617791046444737211ull}}, +{{4754050869680226411ull, 13212588338740521122ull, + 10470342449479209887ull, 7022238808055921514ull}}, +{{15165935623955058822ull, 11904049404998263498ull, + 3864556024994236551ull, 8777798510069901893ull}}, +{{14090395783399299668ull, 14357559905764996542ull, + 4721190524835091796ull, 5486124068793688683ull}}, +{{8389622692394348777ull, 17946949882206245678ull, + 1289802137616476841ull, 6857655085992110854ull}}, +{{1263656328638160163ull, 8598629297475643386ull, + 10835624708875371860ull, 8572068857490138567ull}}, +{{5401471223826238006ull, 14597515347777052924ull, + 13689794470688189268ull, 5357543035931336604ull}}, +{{6751839029782797507ull, 18246894184721316155ull, + 17112243088360236585ull, 6696928794914170755ull}}, +{{3828112768801108980ull, 8973559675619481482ull, + 16778617842022907828ull, 8371160993642713444ull}}, +{{7004256498928081017ull, 14831846834116951734ull, + 1263264114409541584ull, 5231975621026695903ull}}, +{{17978692660514877079ull, 93064468936638051ull, + 15414138198294090693ull, 6539969526283369878ull}}, +{{17861679807216208444ull, 4728016604598185468ull, + 10044300711012837558ull, 8174961907854212348ull}}, +{{1940177842655354470ull, 16790068433156029630ull, + 15501059981237799281ull, 5109351192408882717ull}}, +{{11648594340173968895ull, 7152527486162873325ull, + 5541266921265085390ull, 6386688990511103397ull}}, +{{725684869935297407ull, 18164031394558367465ull, + 11538269670008744641ull, 7983361238138879246ull}}, +{{11982768089778030640ull, 4434990593957897809ull, + 2599732525328077497ull, 4989600773836799529ull}}, +{{1143402056940374587ull, 10155424260874760166ull, + 7861351675087484775ull, 6237000967295999411ull}}, +{{10652624608030244042ull, 8082594307666062303ull, + 5215003575431968065ull, 7796251209119999264ull}}, +{{13575419407659984382ull, 16580836488359758699ull, + 3259377234644980040ull, 4872657005699999540ull}}, +{{12357588241147592574ull, 2279301536740146758ull, + 4074221543306225051ull, 6090821257124999425ull}}, +{{6223613264579714909ull, 16684184976207347160ull, + 9704462947560169217ull, 7613526571406249281ull}}, +{{3889758290362321819ull, 3510086582488510119ull, + 17594504388293575521ull, 4758454107128905800ull}}, +{{250511844525514369ull, 8999294246538025553ull, 3546386411657417785ull, + 5948067633911132251ull}}, +{{4924825824084280865ull, 15860803826599919845ull, + 18268041069853935943ull, 7435084542388915313ull}}, +{{5383859149266369493ull, 16830531419266031759ull, + 4499996641017628108ull, 4646927838993072071ull}}, +{{2118137918155573962ull, 2591420200372988083ull, + 1013309782844647232ull, 5808659798741340089ull}}, +{{16482730452976631164ull, 3239275250466235103ull, + 5878323246983196944ull, 7260824748426675111ull}}, +{{15991727047793401051ull, 4049094063082793879ull, + 2736218040301608276ull, 9076030935533343889ull}}, +{{16912358432511957513ull, 11754055826281521982ull, + 13239351321256974932ull, 5672519334708339930ull}}, +{{11917076003785171083ull, 14692569782851902478ull, + 7325817114716442857ull, 7090649168385424913ull}}, +{{5672972967876688046ull, 4530654173282714386ull, + 13768957411822941476ull, 8863311460481781141ull}}, +{{8157294123350317933ull, 12055030895156472299ull, + 10911441391603032374ull, 5539569662801113213ull}}, +{{5584931635760509512ull, 5845416582090814566ull, + 18250987757931178372ull, 6924462078501391516ull}}, +{{16204536581555412698ull, 7306770727613518207ull, + 4366990623704421349ull, 8655577598126739396ull}}, +{{17045364391113214793ull, 6872574713972142831ull, + 11952741176670039151ull, 5409735998829212122ull}}, +{{16695019470464130587ull, 3979032374037790635ull, + 5717554433982773131ull, 6762169998536515153ull}}, +{{16257088319652775329ull, 362104449119850390ull, + 11758629060905854318ull, 8452712498170643941ull}}, +{{5548994181355596677ull, 14061373335982070206ull, + 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+{{7803105218212952879ull, 18044654874084636016ull, + 7777860448100626703ull, 5776622002767454643ull}}, +{{9753881522766191098ull, 17944132574178407116ull, + 5110639541698395475ull, 7220777503459318304ull}}, +{{12192351903457738873ull, 17818479699295620991ull, + 6388299427122994344ull, 9025971879324147880ull}}, +{{14537748967302168652ull, 11136549812059763119ull, + 3992687141951871465ull, 5641232424577592425ull}}, +{{13560500190700322911ull, 85629209792540187ull, 9602544945867227236ull, + 7051540530721990531ull}}, +{{12338939219948015734ull, 107036512240675234ull, + 7391495163906646141ull, 8814425663402488164ull}}, +{{12323523030894897738ull, 2372740829364115973ull, + 13843056514296429646ull, 5509016039626555102ull}}, +{{1569345733336458460ull, 12189298073559920775ull, + 8080448606015761249ull, 6886270049533193878ull}}, +{{15796740221952736787ull, 1401564536667737256ull, + 877188720664925754ull, 8607837561916492348ull}}, +{{9872962638720460492ull, 5487663853844723689ull, + 9771614987270354404ull, 5379898476197807717ull}}, +{{16952889316827963519ull, 6859579817305904611ull, + 16826204752515330909ull, 6724873095247259646ull}}, +{{16579425627607566495ull, 13186160790059768668ull, + 11809383903789387828ull, 8406091369059074558ull}}, +{{1138768980399953251ull, 17464722530642131226ull, + 2769178921440979488ull, 5253807105661921599ull}}, +{{10646833262354717372ull, 3384159089593112416ull, + 17296531707083388073ull, 6567258882077401998ull}}, +{{13308541577943396715ull, 8841884880418778424ull, + 12397292596999459283ull, 8209073602596752498ull}}, +{{8317838486214622947ull, 3220335041048042563ull, + 12359993891552049956ull, 5130671001622970311ull}}, +{{5785612089340890780ull, 4025418801310053204ull, + 10838306346012674541ull, 6413338752028712889ull}} +}; + +static const UINT256 multipliers2_binary64[] = + { {{918777112239470733ull, 5138421092069233273ull, + 15049182825743144437ull, 3877256883183270350ull}}, +{{12103450741218138969ull, 5517356191756964747ull, + 4794053247662077369ull, 2423285551989543969ull}}, +{{10517627408095285807ull, 11508381258123593838ull, + 10604252578004984615ull, 3029106939986929961ull}}, +{{3923662223264331450ull, 9773790554227104394ull, + 17867001740933618673ull, 3786383674983662451ull}}, +{{7063974907967595060ull, 17637834142460410006ull, + 8861033078869817718ull, 2366489796864789032ull}}, +{{18053340671814269633ull, 12823920641220736699ull, + 11076291348587272148ull, 2958112246080986290ull}}, +{{17954989821340449138ull, 16029900801525920874ull, + 4621992148879314377ull, 3697640307601232863ull}}, +{{15833554656765168615ull, 3101158973312618690ull, + 9806274120690653342ull, 2311025192250770539ull}}, +{{10568571284101684961ull, 13099820753495549171ull, + 7646156632435928773ull, 2888781490313463174ull}}, +{{8599028086699718297ull, 2539717886587272752ull, 334323753690135159ull, + 3610976862891828968ull}}, +{{10748785108374647871ull, 17009705413516254652ull, + 417904692112668948ull, 4513721078614786210ull}}, +{{15941362729588930728ull, 1407693846592883349ull, + 4872876450997805997ull, 2821075674134241381ull}}, +{{6091645356703999697ull, 6371303326668492091ull, + 10702781582174645400ull, 3526344592667801726ull}}, +{{3002870677452611718ull, 7964129158335615114ull, + 4155104940863530942ull, 4407930740834752158ull}}, +{{6488480191835270228ull, 365894705532371542ull, + 16431998643321870551ull, 2754956713021720098ull}}, +{{17333972276648863593ull, 14292426437197628139ull, + 11316626267297562380ull, 3443695891277150123ull}}, +{{17055779327383691587ull, 17865533046497035174ull, + 9534096815694565071ull, 4304619864096437654ull}}, +{{6048176061187419338ull, 18083487181701728840ull, + 1347124491381715265ull, 2690387415060273534ull}}, +{{7560220076484274172ull, 8769300921844997338ull, + 10907277651081919890ull, 3362984268825341917ull}}, +{{226903058750566907ull, 1738254115451470865ull, + 18245783082279787767ull, 4203730336031677396ull}}, +{{11671029457787574077ull, 8003937849798251146ull, + 2180242389570091546ull, 2627331460019798373ull}}, +{{5365414785379691788ull, 781550275393038125ull, 7336989005390002337ull, + 3284164325024747966ull}}, +{{11318454500152002639ull, 5588623862668685560ull, + 18394608293592278729ull, 4105205406280934957ull}}, +{{7074034062595001650ull, 15022104960236398235ull, + 13802473192708868157ull, 2565753378925584348ull}}, +{{4230856559816364158ull, 4942573145013334082ull, + 17253091490886085197ull, 3207191723656980435ull}}, +{{14511942736625231005ull, 10789902449694055506ull, + 16954678345180218592ull, 4008989654571225544ull}}, +{{13681650228818157283ull, 6743689031058784691ull, + 10596673965737636620ull, 2505618534107015965ull}}, +{{12490376767595308699ull, 8429611288823480864ull, + 17857528475599433679ull, 3132023167633769956ull}}, +{{15612970959494135874ull, 5925328092601963176ull, + 3875166520789740483ull, 3915028959542212446ull}}, +{{9758106849683834921ull, 1397487048662533033ull, + 16257037130775751514ull, 2446893099713882778ull}}, +{{16809319580532181555ull, 10970230847682942099ull, + 11097924376614913584ull, 3058616374642353473ull}}, +{{16399963457237839040ull, 13712788559603677624ull, + 37347415486478268ull, 3823270468302941842ull}}, +{{10249977160773649400ull, 17793864886607074323ull, + 4635028153106436821ull, 2389544042689338651ull}}, +{{8200785432539673846ull, 8407273052976679192ull, + 1182099172955658123ull, 2986930053361673314ull}}, +{{10250981790674592308ull, 5897405297793461086ull, + 10700996003049348462ull, 3733662566702091642ull}}, +{{1795177600744232288ull, 17520936366403076891ull, + 11299808520333230692ull, 2333539104188807276ull}}, +{{16079030056212454072ull, 3454426384294294497ull, + 14124760650416538366ull, 2916923880236009095ull}}, +{{6263729514983403878ull, 13541405017222643930ull, + 13044264794593285053ull, 3646154850295011369ull}}, +{{17053033930584030656ull, 3091698216246141200ull, + 2470272937959442605ull, 4557693562868764212ull}}, +{{10658146206615019160ull, 4238154394367532202ull, + 10767292623079427436ull, 2848558476792977632ull}}, +{{4099310721413998142ull, 5297692992959415253ull, + 13459115778849284295ull, 3560698095991222040ull}}, +{{9735824420194885581ull, 2010430222771881162ull, + 16823894723561605369ull, 4450872619989027550ull}}, +{{10696576281049191393ull, 12785733935300895486ull, + 5903248183798615451ull, 2781795387493142219ull}}, +{{4147348314456713433ull, 11370481400698731454ull, + 2767374211320881410ull, 3477244234366427774ull}}, +{{14407557429925667599ull, 4989729714018638509ull, + 12682589801005877571ull, 4346555292958034717ull}}, +{{11310566402917236201ull, 812738062047955116ull, + 10232461634842367434ull, 2716597058098771698ull}}, +{{14138208003646545252ull, 10239294614414719703ull, + 3567205006698183484ull, 3395746322623464623ull}}, +{{13061073986130793660ull, 12799118268018399629ull, + 18294064313654893067ull, 4244682903279330778ull}}, +{{10469014250545439990ull, 5693605908297805816ull, + 16045476214461696071ull, 2652926814549581736ull}}, +{{13086267813181799987ull, 2505321366944869366ull, + 1610101194367568473ull, 3316158518186977171ull}}, +{{7134462729622474176ull, 7743337727108474612ull, + 15847684548241624303ull, 4145198147733721463ull}}, +{{13682411242868822168ull, 11757115107083878488ull, + 16822331870292097045ull, 2590748842333575914ull}}, +{{17103014053586027710ull, 861335828572684398ull, + 11804542801010345499ull, 3238436052916969893ull}}, +{{12155395530127758829ull, 14911727840998019210ull, + 920620445980768161ull, 4048045066146212367ull}}, +{{12208808224757237173ull, 2402300872982680150ull, + 7492916806379061957ull, 2530028166341382729ull}}, +{{6037638244091770658ull, 7614562109655738092ull, + 13977832026401215350ull, 3162535207926728411ull}}, +{{7547047805114713322ull, 294830600214896807ull, + 12860604014574131284ull, 3953169009908410514ull}}, +{{11634433905837777682ull, 9407641161989086312ull, + 12649563527536219956ull, 2470730631192756571ull}}, +{{14543042382297222103ull, 11759551452486357890ull, + 11200268390992887041ull, 3088413288990945714ull}}, +{{8955430941016751820ull, 864381260325783651ull, 4776963451886332994ull, + 3860516611238682143ull}}, +{{3291301328921775936ull, 5151924306131002686ull, + 9903131185070039977ull, 2412822882024176339ull}}, +{{13337498698006995728ull, 11051591401091141261ull, + 7767227962910162067ull, 3016028602530220424ull}}, +{{2836815317226580948ull, 9202803232936538673ull, + 9709034953637702584ull, 3770035753162775530ull}}, +{{13302224619335082852ull, 5751752020585336670ull, + 10679832864450952019ull, 2356272345726734706ull}}, +{{7404408737314077757ull, 2578004007304282934ull, + 4126419043708914216ull, 2945340432158418383ull}}, +{{32138884787821389ull, 3222505009130353668ull, 546337786208754866ull, + 3681675540198022979ull}}, +{{40173605984776736ull, 13251503298267717893ull, + 14517980288043107294ull, 4602094425247528723ull}}, +{{2330951512954179412ull, 3670503542989935779ull, + 6767894670813248107ull, 2876309015779705452ull}}, +{{16748747446474887977ull, 18423187484019583435ull, + 8459868338516560133ull, 3595386269724631815ull}}, +{{16324248289666222067ull, 9193926299742315582ull, + 5963149404718312263ull, 4494232837155789769ull}}, +{{5590969162614000888ull, 12663732964980029095ull, + 15256183424017414924ull, 2808895523222368605ull}}, +{{2377025434840113206ull, 15829666206225036369ull, + 5235171224739604943ull, 3511119404027960757ull}}, +{{7582967811977529411ull, 15175396739353907557ull, + 11155650049351894083ull, 4388899255034950946ull}}, +{{7045197891699649834ull, 7178779952882498271ull, + 11583967299272321706ull, 2743062034396844341ull}}, +{{4194811346197174389ull, 18196846977957898647ull, + 644901068808238420ull, 3428827542996055427ull}}, +{{631828164319080082ull, 4299314648737821693ull, + 14641184391292461738ull, 4286034428745069283ull}}, +{{2700735611913119003ull, 7298757673888526462ull, + 6844897235344094634ull, 2678771517965668302ull}}, +{{12599291551746174562ull, 18346819129215433885ull, + 17779493581034894100ull, 3348464397457085377ull}}, +{{1914056384400554490ull, 4486779837809740741ull, + 8389308921011453914ull, 4185580496821356722ull}}, +{{3502128249464040509ull, 7415923417058475867ull, + 9855004094059546600ull, 2615987810513347951ull}}, +{{18212718367112214348ull, 9269904271323094833ull, + 7707069099147045346ull, 3269984763141684939ull}}, +{{8930839903608104222ull, 2364008302299092734ull, + 5022150355506418779ull, 4087480953927106174ull}}, +{{970088921327677235ull, 17618406253432790623ull, + 16973902027473675448ull, 2554675596204441358ull}}, +{{15047669206941760256ull, 3576263743081436662ull, + 11994005497487318503ull, 3193344495255551698ull}}, +{{9586214471822424512ull, 18305387734133959540ull, + 5769134835004372320ull, 3991680619069439623ull}}, +{{15214756081743791128ull, 11440867333833724712ull, + 10523238299518814556ull, 2494800386918399764ull}}, +{{571701028470187294ull, 14301084167292155891ull, + 13154047874398518195ull, 3118500483647999705ull}}, +{{14549684340869897829ull, 13264669190687806959ull, + 2607501787715984032ull, 3898125604559999632ull}}, +{{16011081740684767999ull, 8290418244179879349ull, + 1629688617322490020ull, 2436328502849999770ull}}, +{{6178794120573796287ull, 10363022805224849187ull, + 11260482808507888333ull, 3045410628562499712ull}}, +{{3111806632289857455ull, 17565464524958449388ull, + 14075603510634860416ull, 3806763285703124640ull}}, +{{11168251182035936718ull, 10978415328099030867ull, + 8797252194146787760ull, 2379227053564452900ull}}, +{{9348627959117532993ull, 13723019160123788584ull, + 10996565242683484700ull, 2974033816955566125ull}}, +{{11685784948896916241ull, 17153773950154735730ull, + 18357392571781743779ull, 3717542271194457656ull}}, +{{11915301611487960555ull, 8415265709633015879ull, + 11473370357363589862ull, 2323463919496536035ull}}, +{{10282440995932562789ull, 1295710100186494041ull, + 9730026928277099424ull, 2904329899370670044ull}}, +{{17464737263343091390ull, 1619637625233117551ull, + 12162533660346374280ull, 3630412374213337555ull}}, +{{17219235560751476334ull, 2024547031541396939ull, + 10591481057005579946ull, 4538015467766671944ull}}, +{{8456179216255978757ull, 5877027913140760991ull, + 6619675660628487466ull, 2836259667354169965ull}}, +{{5958538001892585542ull, 16569656928280727047ull, + 12886280594212997236ull, 3545324584192712456ull}}, +{{2836486483938344023ull, 2265327086641357193ull, + 16107850742766246546ull, 4431655730240890570ull}}, +{{13302019098529934775ull, 6027515447578236149ull, + 14679092732656291995ull, 2769784831400556606ull}}, +{{2792465817880254756ull, 2922708291045407283ull, + 9125493878965589186ull, 3462231039250695758ull}}, +{{17325640327632482157ull, 12876757400661534911ull, + 2183495311852210674ull, 4327788799063369698ull}}, +{{17746054232411383205ull, 12659659393840847223ull, + 5976370588335019575ull, 2704867999414606061ull}}, +{{17570881772086841102ull, 11212888223873671125ull, + 12082149253846162373ull, 3381084999268257576ull}}, +{{8128544159826387665ull, 181052224559925195ull, + 15102686567307702967ull, 4226356249085321970ull}}, +{{2774497090677798339ull, 7030686667991035103ull, + 14050865122994702258ull, 2641472655678326231ull}}, +{{17303179418629411635ull, 18011730371843569686ull, + 12951895385315989918ull, 3301840819597907789ull}}, +{{12405602236431988736ull, 13291290927949686300ull, + 2354811176362823686ull, 4127301024497384737ull}}, +{{16976873434624768768ull, 3695370811541166033ull, + 13000972031295234564ull, 2579563140310865460ull}}, +{{7386033737998797248ull, 4619213514426457542ull, + 16251215039119043205ull, 3224453925388581825ull}}, +{{9170135643720752ull, 10385702911460459832ull, 6478960743616640294ull, + 4030567406735727282ull}}, +{{5731334777325470ull, 1879378301235399491ull, 8661036483187788088ull, + 2519104629209829551ull}}, +{{13842222223753820550ull, 2349222876544249363ull, + 6214609585557347206ull, 3148880786512286939ull}}, +{{12691091761264887783ull, 12159900632535087512ull, + 3156575963519296103ull, 3936100983140358674ull}}, +{{7931932350790554864ull, 14517466922975511551ull, + 6584545995626947968ull, 2460063114462724171ull}}, +{{5303229420060805676ull, 18146833653719389439ull, + 3618996476106297056ull, 3075078893078405214ull}}, +{{2017350756648619191ull, 4236797993439685183ull, + 13747117631987647129ull, 3843848616348006517ull}}, +{{8178373250546468851ull, 14177213791968272999ull, + 10897791529205973407ull, 2402405385217504073ull}}, +{{5611280544755698159ull, 13109831221532953345ull, + 18233925429934854663ull, 3003006731521880091ull}}, +{{11625786699372010603ull, 11775603008488803777ull, + 18180720768991180425ull, 3753758414402350114ull}}, +{{348587659466424771ull, 442222852664420505ull, 15974636499046875670ull, + 2346099009001468821ull}}, +{{5047420592760418868ull, 9776150602685301439ull, + 6133237568526430875ull, 2932623761251836027ull}}, +{{1697589722523135681ull, 7608502234929238895ull, + 3054860942230650690ull, 3665779701564795034ull}}, 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3443135024766596939ull}}, +{{7898370110976368394ull, 700782268333868628ull, 438594360332462877ull, + 4303918780958246174ull}}, +{{14159853356215006054ull, 2743831926922361844ull, + 14109179530489953010ull, 2689949238098903858ull}}, +{{17699816695268757568ull, 12653161945507728113ull, + 8413102376257665454ull, 3362436547623629823ull}}, +{{8289712813803783248ull, 6593080395029884334ull, + 5904691951894693914ull, 4203045684529537279ull}}, +{{569384490199976626ull, 8732361265321065613ull, + 10607961497575265552ull, 2626903552830960799ull}}, +{{5323416631177358686ull, 10915451581651332016ull, + 8648265853541694036ull, 3283629441038700999ull}}, +{{6654270788971698358ull, 13644314477064165020ull, + 6198646298499729641ull, 4104536801298376249ull}}, +{{13382291279962087282ull, 1610167520524021281ull, + 15403368982630800786ull, 2565335500811485155ull}}, +{{2892806044670445390ull, 11236081437509802410ull, + 14642525209861113078ull, 3206669376014356444ull}} +}; + +// ********************************************************************** + +#if __ENABLE_BINARY80__ + +static const UINT128 breakpoints_binary80[] = + { {{6337302757928054309ull, 494016656451265ull}}, +{{5069842206342443447ull, 395213325161012ull}}, +{{15123920209299685727ull, 316170660128809ull}}, +{{13130225890653766194ull, 505873056206095ull}}, +{{10504180712523012955ull, 404698444964876ull}}, +{{4713995755276500041ull, 323758755971901ull}}, +{{163695578958579419ull, 518014009555042ull}}, +{{11199002907392594505ull, 414411207644033ull}}, +{{16337899955397896250ull, 331528966115226ull}}, +{{315198225443261738ull, 530446345784363ull}}, +{{7630856209838430037ull, 424357076627490ull}}, +{{6104684967870744030ull, 339485661301992ull}}, +{{13456844763335100771ull, 543177058083187ull}}, +{{3386778181184259970ull, 434541646466550ull}}, +{{2709422544947407976ull, 347633317173240ull}}, +{{4335076071915852762ull, 556213307477184ull}}, +{{7157409672274592533ull, 444970645981747ull}}, +{{16793974182045404996ull, 355976516785397ull}}, +{{6056481716152503350ull, 284781213428318ull}}, +{{6001021931102095037ull, 455649941485309ull}}, +{{8490166359623586353ull, 364519953188247ull}}, +{{17860179531924600052ull, 291615962550597ull}}, +{{13818891992111718790ull, 466585540080956ull}}, +{{7365764778947464709ull, 373268432064765ull}}, +{{5892611823157971767ull, 298614745651812ull}}, +{{13117527731794665151ull, 477783593042899ull}}, +{{14183371000177642444ull, 382226874434319ull}}, +{{15036045614884024278ull, 305781499547455ull}}, +{{5610928910104887229ull, 489250399275929ull}}, +{{8178091942825820106ull, 391400319420743ull}}, +{{13921171183744476731ull, 313120255536594ull}}, +{{11205827449765431801ull, 500992408858551ull}}, +{{5275313145070435117ull, 400793927086841ull}}, +{{530901701314437771ull, 320635141669473ull}}, +{{15606837981070741726ull, 513016226671156ull}}, +{{8796121570114683058ull, 410412981336925ull}}, +{{7036897256091746446ull, 328330385069540ull}}, +{{11259035609746794314ull, 525328616111264ull}}, +{{12696577302539345774ull, 420262892889011ull}}, +{{6467913027289566296ull, 336210314311209ull}}, +{{17727358473147126720ull, 537936502897934ull}}, +{{17871235593259611699ull, 430349202318347ull}}, +{{6918290845123868713ull, 344279361854678ull}}, +{{7379916537456279618ull, 550846978967485ull}}, +{{5903933229965023694ull, 440677583173988ull}}, +{{12101844213455839602ull, 352542066539190ull}}, +{{9681475370764671681ull, 282033653231352ull}}, +{{732965334255833398ull, 451253845170164ull}}, +{{4275721082146577041ull, 361003076136131ull}}, +{{18177972124684902926ull, 288802460908904ull}}, +{{18016708955270113712ull, 462083937454247ull}}, +{{7034669534732270323ull, 369667149963398ull}}, +{{13006433257269636905ull, 295733719970718ull}}, +{{17120944396889508724ull, 473173951953149ull}}, +{{17386104332253517303ull, 378539161562519ull}}, +{{17598232280544724165ull, 302831329250015ull}}, +{{9710427575162007049ull, 484530126800025ull}}, +{{7768342060129605639ull, 387624101440020ull}}, +{{6214673648103684511ull, 310099281152016ull}}, +{{2564780207482074571ull, 496158849843226ull}}, +{{16809219424953300950ull, 396927079874580ull}}, +{{13447375539962640760ull, 317541663899664ull}}, +{{10447754419714494246ull, 508066662239463ull}}, +{{15736901165255416043ull, 406453329791570ull}}, +{{12589520932204332835ull, 325162663833256ull}}, +{{12764535862043111889ull, 520260262133210ull}}, +{{10211628689634489511ull, 416208209706568ull}}, +{{15548000581191412255ull, 332966567765254ull}}, +{{13808754485680528639ull, 532746508424407ull}}, +{{3668305959060602265ull, 426197206739526ull}}, +{{17692040026216123105ull, 340957765391620ull}}, +{{9860519968236245352ull, 545532424626593ull}}, +{{15267113604072816928ull, 436425939701274ull}}, +{{15903039698000163865ull, 349140751761019ull}}, +{{14376817072574531215ull, 558625202817631ull}}, +{{7812104843317714649ull, 446900162254105ull}}, +{{6249683874654171719ull, 357520129803284ull}}, +{{8689095914465247698ull, 286016103842627ull}}, +{{17591902277886306641ull, 457625766148203ull}}, +{{3005475378083314343ull, 366100612918563ull}}, +{{9783077931950472121ull, 292880490334850ull}}, +{{15652924691120755393ull, 468608784535760ull}}, +{{12522339752896604314ull, 374887027628608ull}}, +{{17396569431801104098ull, 299909622102886ull}}, +{{2009069387688394294ull, 479855395364619ull}}, +{{5296604324892625759ull, 383884316291695ull}}, +{{4237283459914100607ull, 307107453033356ull}}, +{{17847699980088291941ull, 491371924853369ull}}, +{{17967508798812543876ull, 393097539882695ull}}, +{{14374007039050035101ull, 314478031906156ull}}, +{{15619713632996235515ull, 503164851049850ull}}, +{{12495770906396988412ull, 402531880839880ull}}, +{{9996616725117590729ull, 322025504671904ull}}, +{{4926540315962414197ull, 515240807475047ull}}, +{{15009278696995662327ull, 412192645980037ull}}, +{{4628725328112709215ull, 329754116784030ull}}, +{{7405960524980334745ull, 527606586854448ull}}, +{{13303466049468088442ull, 422085269483558ull}}, +{{18021470469058291400ull, 337668215586846ull}}, +{{3008911047299893978ull, 540269144938955ull}}, +{{2407128837839915182ull, 432215315951164ull}}, +{{5615051885013842469ull, 345772252760931ull}}, +{{1605385386538327304ull, 553235604417490ull}}, +{{1284308309230661843ull, 442588483533992ull}}, +{{12095493091610260444ull, 354070786827193ull}}, +{{17055092102772029002ull, 283256629461754ull}}, +{{16220100920209515433ull, 453210607138807ull}}, +{{5597383106683791700ull, 362568485711046ull}}, +{{788557670605123037ull, 290054788568837ull}}, +{{4951041087710107183ull, 464087661710139ull}}, +{{7650181684909996069ull, 371270129368111ull}}, +{{2430796533186086532ull, 297016103494489ull}}, +{{11267972082581559098ull, 475225765591182ull}}, +{{1635680036581426632ull, 380180612472946ull}}, +{{16065939288232782598ull, 304144489978356ull}}, +{{18326805231688631511ull, 486631183965370ull}}, +{{14661444185350905209ull, 389304947172296ull}}, +{{8039806533538813844ull, 311443957737837ull}}, +{{16553039268404012473ull, 498310332380539ull}}, +{{16931780229465120302ull, 398648265904431ull}}, +{{9856075368830185918ull, 318918612723545ull}}, +{{15769720590128297469ull, 510269780357672ull}}, +{{5237078842618817329ull, 408215824286138ull}}, +{{11568360703578874509ull, 326572659428910ull}}, +{{62633052016647599ull, 522516255086257ull}}, +{{11118152885839049049ull, 418013004069005ull}}, +{{8894522308671239239ull, 334410403255204ull}}, +{{3163189249648251813ull, 535056645208327ull}}, +{{13598597843944332420ull, 428045316166661ull}}, +{{7189529460413555613ull, 342436252933329ull}}, +{{435200692435958011ull, 547898004693327ull}}, +{{11416206998174497378ull, 438318403754661ull}}, +{{5443616783797687579ull, 350654723003729ull}}, +{{16088484483560120774ull, 561047556805966ull}}, +{{9181438772106186296ull, 448838045444773ull}}, +{{14723848647168769683ull, 359070436355818ull}}, +{{711032473509284777ull, 287256349084655ull}}, +{{1137651957614855643ull, 459610158535448ull}}, +{{8288819195575705161ull, 367688126828358ull}}, +{{14009752985944384775ull, 294150501462686ull}}, +{{15036907148027194994ull, 470640802340298ull}}, +{{961479274196025025ull, 376512641872239ull}}, +{{4458532234098730343ull, 301210113497791ull}}, +{{18201698018783699519ull, 481936181596465ull}}, +{{14561358415026959615ull, 385548945277172ull}}, +{{4270389102537747046ull, 308439156221738ull}}, +{{3143273749318484950ull, 493502649954781ull}}, +{{17272014258422429253ull, 394802119963824ull}}, +{{17506960221479853725ull, 315841695971059ull}}, +{{16943089910142034991ull, 505346713553695ull}}, +{{13554471928113627993ull, 404277370842956ull}}, +{{7154228727748992071ull, 323421896674365ull}}, +{{11446765964398387314ull, 517475034678984ull}}, +{{12846761586260620174ull, 413980027743187ull}}, +{{2898711639524675493ull, 331184022194550ull}}, +{{4637938623239480789ull, 529894435511280ull}}, +{{3710350898591584631ull, 423915548409024ull}}, +{{6657629533615178028ull, 339132438727219ull}}, +{{18030904883268105491ull, 542611901963550ull}}, +{{14424723906614484393ull, 434089521570840ull}}, +{{11539779125291587514ull, 347271617256672ull}}, +{{3706251341498898730ull, 555634587610676ull}}, +{{17722396332166760277ull, 444507670088540ull}}, +{{14177917065733408221ull, 355606136070832ull}}, +{{3963636023102905931ull, 284484908856666ull}}, +{{17409864081190380459ull, 455175854170665ull}}, +{{13927891264952304367ull, 364140683336532ull}}, +{{3763615382478022847ull, 291312546669226ull}}, +{{17089831056190567525ull, 466100074670761ull}}, +{{9982516030210543697ull, 372880059736609ull}}, +{{11675361638910345281ull, 298304047789287ull}}, +{{3923183363288911157ull, 477286476462860ull}}, +{{3138546690631128925ull, 381829181170288ull}}, +{{9889534981988723786ull, 305463344936230ull}}, +{{15823255971181958059ull, 488741351897968ull}}, +{{1590558332719835477ull, 390993081518375ull}}, +{{1272446666175868382ull, 312794465214700ull}}, +{{2035914665881389411ull, 500471144343520ull}}, +{{1628731732705111529ull, 400376915474816ull}}, +{{16060380645131730516ull, 320301532379852ull}}, +{{10939213773243127533ull, 512482451807764ull}}, +{{12440719833336412349ull, 409985961446211ull}}, +{{6263227051927219556ull, 327988769156969ull}}, +{{17399860912567371936ull, 524782030651150ull}}, +{{13919888730053897549ull, 419825624520920ull}}, +{{11135910984043118039ull, 335860499616736ull}}, +{{10438759944985168216ull, 537376799386778ull}}, +{{15729705585471955219ull, 429901439509422ull}}, +{{5205066838893743529ull, 343921151607538ull}}, +{{4638758127488079324ull, 550273842572061ull}}, +{{21657687248553136ull, 440219074057649ull}}, +{{3706674964540752832ull, 352175259246119ull}}, +{{6654688786374512588ull, 281740207396895ull}}, +{{10647502058199220142ull, 450784331835032ull}}, +{{1139304017075555467ull, 360627465468026ull}}, +{{15668838472628085666ull, 288501972374420ull}}, +{{6623397482495385450ull, 461603155799073ull}}, +{{12677415615480129006ull, 369282524639258ull}}, +{{17520630121867923851ull, 295426019711406ull}}, +{{2207566491795305900ull, 472681631538251ull}}, +{{16523448452403886013ull, 378145305230600ull}}, +{{13218758761923108810ull, 302516244184480ull}}, +{{2703269945367422481ull, 484025990695169ull}}, +{{5851964771035848308ull, 387220792556135ull}}, +{{4681571816828678646ull, 309776634044908ull}}, +{{3801166092183975511ull, 495642614471853ull}}, +{{10419630503231001055ull, 396514091577482ull}}, +{{957006773100980197ull, 317211273261986ull}}, +{{12599257281187299286ull, 507538037219177ull}}, +{{2700708195466018782ull, 406030429775342ull}}, +{{13228613000598545995ull, 324824343820273ull}}, +{{17476431986215763269ull, 519718950112437ull}}, +{{6602447959488789969ull, 415775160089950ull}}, +{{5281958367591031975ull, 332620128071960ull}}, +{{8451133388145651160ull, 532192204915136ull}}, +{{3071557895774610605ull, 425753763932109ull}}, +{{6146595131361598807ull, 340603011145687ull}}, +{{13523901024920468415ull, 544964817833099ull}}, +{{14508469634678285055ull, 435971854266479ull}}, +{{15296124522484538367ull, 348777483413183ull}}, +{{2337706347523799448ull, 558043973461094ull}}, +{{5559513892760949882ull, 446435178768875ull}}, +{{4447611114208759905ull, 357148143015100ull}}, +{{3558088891367007924ull, 285718514412080ull}}, +{{5692942226187212679ull, 457149623059328ull}}, +{{11933051410433590789ull, 365719698447462ull}}, +{{2167743498863051985ull, 292575758757970ull}}, +{{3468389598180883176ull, 468121214012752ull}}, +{{13842758122770437511ull, 374496971210201ull}}, +{{7384857683474439685ull, 299597576968161ull}}, +{{4437074664075282850ull, 479356123149058ull}}, +{{10928357360744046927ull, 383484898519246ull}}, +{{5053337073853327218ull, 306787918815397ull}}, +{{11774688132907233872ull, 490860670104635ull}}, +{{9419750506325787098ull, 392688536083708ull}}, +{{14914498034544450324ull, 314150828866966ull}}, +{{16484499225787299873ull, 502641326187146ull}}, +{{9498250565887929575ull, 402113060949717ull}}, +{{219902823226523014ull, 321690448759774ull}}, +{{7730542146646257468ull, 514704718015638ull}}, +{{13563131346800826621ull, 411763774412510ull}}, +{{10850505077440661297ull, 329411019530008ull}}, +{{13671459309163147752ull, 527057631248013ull}}, +{{18315865076814338848ull, 421646104998410ull}}, +{{14652692061451471078ull, 337316883998728ull}}, +{{1308214409870891786ull, 539707014397966ull}}, +{{15803966786864354722ull, 431765611518372ull}}, +{{5264475800007663131ull, 345412489214698ull}}, +{{4733812465270350686ull, 552659982743517ull}}, +{{14855096416442011519ull, 442127986194813ull}}, +{{816030688927878245ull, 353702388955851ull}}, +{{15410219810109943889ull, 282961911164680ull}}, +{{6209607622466358606ull, 452739057863489ull}}, +{{8657034912714997208ull, 362191246290791ull}}, +{{3236279115430087443ull, 289752997032633ull}}, +{{1488697769946229586ull, 463604795252213ull}}, +{{8569655845440804315ull, 370883836201770ull}}, +{{6855724676352643452ull, 296707068961416ull}}, +{{3590461852680408877ull, 474731310338266ull}}, +{{17629764741111968395ull, 379785048270612ull}}, +{{6725114163405754069ull, 303828038616490ull}}, +{{10760182661449206511ull, 486124861786384ull}}, +{{12297494943901275532ull, 388899889429107ull}}, +{{2459298325637199779ull, 311119911543286ull}}, +{{15002923765245250616ull, 497791858469257ull}}, +{{4623641382712379847ull, 398233486775406ull}}, +{{9564291427993554ull, 318586789420325ull}}, +{{15302866284789687ull, 509738863072520ull}}, +{{12242293027831749ull, 407791090458016ull}}, +{{14767189093389906692ull, 326232872366412ull}}, +{{8870107290456209415ull, 521972595786260ull}}, +{{7096085832364967532ull, 417578076629008ull}}, +{{13055566295375794672ull, 334062461303206ull}}, +{{13510208443117450829ull, 534499938085130ull}}, +{{10808166754493960663ull, 427599950468104ull}}, +{{12335882218337078853ull, 342079960374483ull}}, +{{16048062734597415842ull, 547327936599173ull}}, 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+{{10930175315611246358ull, 282429400335717ull}}, +{{2730885246010352881ull, 451887040537148ull}}, +{{9563405826292102951ull, 361509632429718ull}}, +{{15029422290517503007ull, 289207705943774ull}}, +{{12979029220602273842ull, 462732329510039ull}}, +{{14072572191223729397ull, 370185863608031ull}}, +{{7568708938237073194ull, 296148690886425ull}}, +{{12109934301179317111ull, 473837905418280ull}}, +{{9687947440943453688ull, 379070324334624ull}}, +{{11439706767496673274ull, 303256259467699ull}}, +{{7235484383768946269ull, 485210015148319ull}}, +{{9477736321757067338ull, 388168012118655ull}}, +{{7582189057405653870ull, 310534409694924ull}}, +{{1063456047623315223ull, 496855055511879ull}}, +{{4540113652840562502ull, 397484044409503ull}}, +{{11010788551756270648ull, 317987235527602ull}}, +{{2859866423842391744ull, 508779576844164ull}}, +{{5977241953815823718ull, 407023661475331ull}}, +{{1092444748310748651ull, 325618929180265ull}}, +{{1747911597297197842ull, 520990286688424ull}}, +{{5087678092579668597ull, 416792229350739ull}}, +{{7759491288805645201ull, 333433783480591ull}}, +{{5036488432605211675ull, 533494053568946ull}}, +{{339841931342259017ull, 426795242855157ull}}, +{{11339919989299538183ull, 341436194284125ull}}, +{{18143871982879261093ull, 546297910854600ull}}, +{{14515097586303408874ull, 437038328683680ull}}, +{{11612078069042727099ull, 349630662946944ull}}, +{{7511278466242632389ull, 559409060715111ull}}, +{{2319673958252195588ull, 447527248572089ull}}, +{{5545087981343666794ull, 358021798857671ull}}, +{{746721570333023112ull, 286417439086137ull}}, +{{4884103327274747302ull, 458267902537819ull}}, +{{7596631476561708165ull, 366614322030255ull}}, +{{6077305181249366532ull, 293291457624204ull}}, +{{17102385919482807098ull, 469266332198726ull}}, +{{9992559920844335355ull, 375413065758981ull}}, +{{4304699121933557960ull, 300330452607185ull}}, +{{6887518595093692737ull, 480528724171496ull}}, +{{1820666061333043866ull, 384422979337197ull}}, +{{12524579293292166063ull, 307538383469757ull}}, +{{5281931610299824408ull, 492061413551612ull}}, +{{15293591732465590496ull, 393649130841289ull}}, +{{15924222200714382720ull, 314919304673031ull}}, +{{18100057891659191705ull, 503870887476850ull}}, +{{14480046313327353364ull, 403096709981480ull}}, +{{11584037050661882691ull, 322477367985184ull}}, +{{7466412836833281337ull, 515963788776295ull}}, +{{5973130269466625069ull, 412771031021036ull}}, +{{1089155400831389732ull, 330216824816829ull}}, +{{9121346270814044218ull, 528346919706926ull}}, +{{3607728201909325051ull, 422677535765541ull}}, +{{17643577820495101334ull, 338142028612432ull}}, +{{13472329253824520841ull, 541027245779892ull}}, +{{3399165773575796026ull, 432821796623914ull}}, +{{6408681433602547144ull, 346257437299131ull}}, +{{2875192664280254785ull, 554011899678610ull}}, +{{2300154131424203828ull, 443209519742888ull}}, +{{9218820934623183708ull, 354567615794310ull}}, +{{7375056747698546967ull, 283654092635448ull}}, +{{8110741981575764824ull, 453846548216717ull}}, +{{17556640029486342828ull, 363077238573373ull}}, +{{2977265579363343293ull, 290461790858699ull}}, +{{12142322556465169916ull, 464738865373918ull}}, +{{17092555674655956579ull, 371791092299134ull}}, +{{17363393354466675586ull, 297432873839307ull}}, +{{13024034108179039645ull, 475892598142892ull}}, +{{3040529657059411070ull, 380714078514314ull}}, +{{6121772540389439179ull, 304571262811451ull}}, +{{2416138435139282040ull, 487314020498322ull}}, +{{13000957192337156602ull, 389851216398657ull}}, +{{3022068124385904635ull, 311880973118926ull}}, +{{15903355443243178386ull, 499009556990281ull}}, +{{9033335539852632385ull, 399207645592225ull}}, +{{7226668431882105908ull, 319366116473780ull}}, +{{11562669491011369453ull, 510985786358048ull}}, +{{16628833222292916209ull, 408788629086438ull}}, +{{2235020133608601997ull, 327030903269151ull}}, +{{14644078657999494166ull, 523249445230641ull}}, +{{8025914111657685009ull, 418599556184513ull}}, +{{13799428918809968654ull, 334879644947610ull}}, +{{3632342196386398230ull, 535807431916177ull}} +}; + +static const int exponents_binary80[] = { -65, + -62, + -59, + -55, + -52, + -49, + -45, + -42, + -39, + -35, + -32, + -29, + -25, + -22, + -19, + -15, + -12, + -9, + -6, + -2, + 1, + 4, + 8, + 11, + 14, + 18, + 21, + 24, + 28, + 31, + 34, + 38, + 41, + 44, + 48, + 51, + 54, + 58, + 61, + 64, + 68, + 71, + 74, + 78, + 81, + 84, + 87, + 91, + 94, + 97, + 101, + 104, + 107, + 111, + 114, + 117, + 121, + 124, + 127, + 131, + 134, + 137, + 141, + 144, + 147, + 151, + 154, + 157, + 161, + 164, + 167, + 171, + 174, + 177, + 181, + 184, + 187, + 190, + 194, + 197, + 200, + 204, + 207, + 210, + 214, + 217, + 220, + 224, + 227, + 230, + 234, + 237, + 240, + 244, + 247, + 250, + 254, + 257, + 260, + 264, + 267, + 270, + 274, + 277, + 280, + 283, + 287, + 290, + 293, + 297, + 300, + 303, + 307, + 310, + 313, + 317, + 320, + 323, + 327, + 330, + 333, + 337, + 340, + 343, + 347, + 350, + 353, + 357, + 360, + 363, + 367, + 370, + 373, + 377, + 380, + 383, + 386, + 390, + 393, + 396, + 400, + 403, + 406, + 410, + 413, + 416, + 420, + 423, + 426, + 430, + 433, + 436, + 440, + 443, + 446, + 450, + 453, + 456, + 460, + 463, + 466, + 470, + 473, + 476, + 479, + 483, + 486, + 489, + 493, + 496, + 499, + 503, + 506, + 509, + 513, + 516, + 519, + 523, + 526, + 529, + 533, + 536, + 539, + 543, + 546, + 549, + 553, + 556, + 559, + 563, + 566, + 569, + 572, + 576, + 579, + 582, + 586, + 589, + 592, + 596, + 599, + 602, + 606, + 609, + 612, + 616, + 619, + 622, + 626, + 629, + 632, + 636, + 639, + 642, + 646, + 649, + 652, + 656, + 659, + 662, + 666, + 669, + 672, + 675, + 679, + 682, + 685, + 689, + 692, + 695, + 699, + 702, + 705, + 709, + 712, + 715, + 719, + 722, + 725, + 729, + 732, + 735, + 739, + 742, + 745, + 749, + 752, + 755, + 759, + 762, + 765, + 768, + 772, + 775, + 778, + 782, + 785, + 788, + 792, + 795, + 798, + 802, + 805, + 808, + 812, + 815, + 818, + 822, + 825, + 828, + 832, + 835, + 838, + 842, + 845, + 848, + 852, + 855, + 858, + 862, + 865, + 868, + 871, + 875, + 878, + 881, + 885, + 888, + 891, + 895, + 898, + 901, + 905, + 908, + 911, + 915, + 918, + 921, + 925, + 928, + 931, + 935, + 938, + 941, + 945, + 948, + 951, + 955, + 958, + 961, + 964, + 968, + 971, + 974, + 978, + 981, + 984, + 988, + 991, + 994, + 998, + 1001, + 1004, + 1008, + 1011, + 1014, + 1018, + 1021, + 1024, + 1028, + 1031, + 1034, + 1038, + 1041, + 1044, + 1048, + 1051, + 1054, + 1058, + 1061, + 1064, + 1067, + 1071, + 1074, + 1077, + 1081, + 1084, + 1087, + 1091, + 1094, + 1097, + 1101, + 1104, + 1107, + 1111, + 1114, + 1117, + 1121, + 1124, + 1127, + 1131, + 1134, + 1137, + 1141, + 1144, + 1147, + 1151, + 1154, + 1157, + 1160, + 1164, + 1167, + 1170, + 1174, + 1177, + 1180, + 1184, + 1187, + 1190, + 1194, + 1197, + 1200, + 1204, + 1207, + 1210, + 1214, + 1217, + 1220, + 1224, + 1227, + 1230, + 1234, + 1237, + 1240, + 1244, + 1247, + 1250, + 1253, + 1257, + 1260, + 1263, + 1267, + 1270, + 1273, + 1277, + 1280, + 1283, + 1287, + 1290, + 1293, + 1297, + 1300, + 1303, + 1307, + 1310, + 1313, + 1317, + 1320, + 1323, + 1327, + 1330, + 1333, + 1337, + 1340, + 1343, + 1347, + 1350, + 1353, + 1356, + 1360, + 1363, + 1366, + 1370, + 1373, + 1376, + 1380, + 1383, + 1386, + 1390, + 1393, + 1396, + 1400, + 1403, + 1406, + 1410, + 1413, + 1416, + 1420, + 1423, + 1426, + 1430, + 1433, + 1436, + 1440, + 1443, + 1446, + 1449, + 1453, + 1456, + 1459, + 1463, + 1466, + 1469, + 1473, + 1476, + 1479, + 1483, + 1486, + 1489, + 1493, + 1496, + 1499, + 1503, + 1506, + 1509, + 1513, + 1516, + 1519, + 1523, + 1526, + 1529, + 1533, + 1536, + 1539, + 1543, + 1546, + 1549, + 1552, + 1556, + 1559, + 1562, + 1566, + 1569, + 1572, + 1576, + 1579, + 1582, + 1586, + 1589, + 1592, + 1596, + 1599, + 1602, + 1606, + 1609, + 1612, + 1616, + 1619, + 1622, + 1626, + 1629, + 1632, + 1636, + 1639, + 1642, + 1645, + 1649, + 1652, + 1655, + 1659, + 1662, + 1665, + 1669, + 1672, + 1675, + 1679, + 1682, + 1685, + 1689, + 1692, + 1695, + 1699, + 1702, + 1705, + 1709, + 1712, + 1715, + 1719, + 1722, + 1725, + 1729, + 1732, + 1735, + 1738, + 1742, + 1745, + 1748, + 1752, + 1755, + 1758, + 1762, + 1765, + 1768, + 1772, + 1775, + 1778, + 1782, + 1785, + 1788, + 1792, + 1795, + 1798, + 1802, + 1805, + 1808, + 1812, + 1815, + 1818, + 1822, + 1825, + 1828, + 1832, + 1835, + 1838, + 1841, + 1845, + 1848, + 1851, + 1855, + 1858, + 1861, + 1865, + 1868, + 1871, + 1875, + 1878, + 1881, + 1885, + 1888, + 1891, + 1895, + 1898, + 1901, + 1905, + 1908, + 1911, + 1915, + 1918, + 1921, + 1925, + 1928, + 1931, + 1934, + 1938, + 1941, + 1944, + 1948, + 1951, + 1954, + 1958, + 1961, + 1964, + 1968, + 1971, + 1974, + 1978, + 1981, + 1984, + 1988, + 1991, + 1994, + 1998, + 2001, + 2004, + 2008, + 2011, + 2014, + 2018, + 2021, + 2024, + 2028, + 2031, + 2034, + 2037, + 2041, + 2044, + 2047, + 2051, + 2054, + 2057, + 2061, + 2064, + 2067, + 2071, + 2074, + 2077, + 2081, + 2084, + 2087, + 2091, + 2094, + 2097, + 2101, + 2104, + 2107, + 2111, + 2114, + 2117, + 2121, + 2124, + 2127, + 2130, + 2134, + 2137, + 2140, + 2144, + 2147, + 2150, + 2154, + 2157, + 2160, + 2164, + 2167, + 2170, + 2174, + 2177, + 2180, + 2184, + 2187, + 2190, + 2194, + 2197, + 2200, + 2204, + 2207, + 2210, + 2214, + 2217, + 2220, + 2223, + 2227, + 2230, + 2233, + 2237, + 2240, + 2243, + 2247, + 2250, + 2253, + 2257, + 2260, + 2263, + 2267, + 2270, + 2273, + 2277, + 2280, + 2283, + 2287, + 2290, + 2293, + 2297, + 2300, + 2303, + 2307, + 2310, + 2313, + 2317, + 2320, + 2323, + 2326, + 2330, + 2333, + 2336, + 2340, + 2343, + 2346, + 2350, + 2353, + 2356, + 2360, + 2363, + 2366, + 2370, + 2373, + 2376, + 2380, + 2383, + 2386, + 2390, + 2393, + 2396, + 2400, + 2403, + 2406, + 2410, + 2413, + 2416, + 2419, + 2423, + 2426, + 2429, + 2433, + 2436, + 2439, + 2443, + 2446, + 2449, + 2453, + 2456, + 2459, + 2463, + 2466, + 2469, + 2473, + 2476, + 2479, + 2483, + 2486, + 2489, + 2493, + 2496, + 2499, + 2503, + 2506, + 2509, + 2513, + 2516, + 2519, + 2522, + 2526, + 2529, + 2532, + 2536, + 2539, + 2542, + 2546, + 2549, + 2552, + 2556, + 2559, + 2562, + 2566, + 2569, + 2572, + 2576, + 2579, + 2582, + 2586, + 2589, + 2592, + 2596, + 2599, + 2602, + 2606, + 2609, + 2612, + 2615, + 2619, + 2622, + 2625, + 2629, + 2632, + 2635, + 2639, + 2642, + 2645, + 2649, + 2652, + 2655, + 2659, + 2662, + 2665, + 2669, + 2672, + 2675, + 2679, + 2682, + 2685, + 2689, + 2692, + 2695, + 2699, + 2702, + 2705, + 2708, + 2712, + 2715, + 2718, + 2722, + 2725, + 2728, + 2732, + 2735, + 2738, + 2742, + 2745, + 2748, + 2752, + 2755, + 2758, + 2762, + 2765, + 2768, + 2772, + 2775, + 2778, + 2782, + 2785, + 2788, + 2792, + 2795, + 2798, + 2802, + 2805, + 2808, + 2811, + 2815, + 2818, + 2821, + 2825, + 2828, + 2831, + 2835, + 2838, + 2841, + 2845, + 2848, + 2851, + 2855, + 2858, + 2861, + 2865, + 2868, + 2871, + 2875, + 2878, + 2881, + 2885, + 2888, + 2891, + 2895, + 2898, + 2901, + 2904, + 2908, + 2911, + 2914, + 2918, + 2921, + 2924, + 2928, + 2931, + 2934, + 2938, + 2941, + 2944, + 2948, + 2951, + 2954, + 2958, + 2961, + 2964, + 2968, + 2971, + 2974, + 2978, + 2981, + 2984, + 2988, + 2991, + 2994, + 2998, + 3001, + 3004, + 3007, + 3011, + 3014, + 3017, + 3021, + 3024, + 3027, + 3031, + 3034, + 3037, + 3041, + 3044, + 3047, + 3051, + 3054, + 3057, + 3061, + 3064, + 3067, + 3071, + 3074, + 3077, + 3081, + 3084, + 3087, + 3091, + 3094, + 3097, + 3100, + 3104, + 3107, + 3110, + 3114, + 3117, + 3120, + 3124, + 3127, + 3130, + 3134, + 3137, + 3140, + 3144, + 3147, + 3150, + 3154, + 3157, + 3160, + 3164, + 3167, + 3170, + 3174, + 3177, + 3180, + 3184, + 3187, + 3190, + 3193, + 3197, + 3200, + 3203, + 3207, + 3210, + 3213, + 3217, + 3220, + 3223, + 3227, + 3230, + 3233, + 3237, + 3240, + 3243, + 3247, + 3250, + 3253, + 3257, + 3260, + 3263, + 3267, + 3270, + 3273, + 3277, + 3280, + 3283, + 3287, + 3290, + 3293, + 3296, + 3300, + 3303, + 3306, + 3310, + 3313, + 3316, + 3320, + 3323, + 3326, + 3330, + 3333, + 3336, + 3340, + 3343, + 3346, + 3350, + 3353, + 3356, + 3360, + 3363, + 3366, + 3370, + 3373, + 3376, + 3380, + 3383, + 3386, + 3389, + 3393, + 3396, + 3399, + 3403, + 3406, + 3409, + 3413, + 3416, + 3419, + 3423, + 3426, + 3429, + 3433, + 3436, + 3439, + 3443, + 3446, + 3449, + 3453, + 3456, + 3459, + 3463, + 3466, + 3469, + 3473, + 3476, + 3479, + 3483, + 3486, + 3489, + 3492, + 3496, + 3499, + 3502, + 3506, + 3509, + 3512, + 3516, + 3519, + 3522, + 3526, + 3529, + 3532, + 3536, + 3539, + 3542, + 3546, + 3549, + 3552, + 3556, + 3559, + 3562, + 3566, + 3569, + 3572, + 3576, + 3579, + 3582, + 3585, + 3589, + 3592, + 3595, + 3599, + 3602, + 3605, + 3609, + 3612, + 3615, + 3619, + 3622, + 3625, + 3629, + 3632, + 3635, + 3639, + 3642, + 3645, + 3649, + 3652, + 3655, + 3659, + 3662, + 3665, + 3669, + 3672, + 3675, + 3679, + 3682, + 3685, + 3688, + 3692, + 3695, + 3698, + 3702, + 3705, + 3708, + 3712, + 3715, + 3718, + 3722, + 3725, + 3728, + 3732, + 3735, + 3738, + 3742, + 3745, + 3748, + 3752, + 3755, + 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32848, + 32852, + 32855, + 32858, + 32862, + 32865, + 32868, + 32872, + 32875, + 32878, + 32882, +}; + +static const UINT256 multipliers1_binary80[] = + { {{12415850090107640902ull, 14557465677128539270ull, + 4938398379086257084ull, 5255184001115807319ull}}, +{{6296440575779775320ull, 18196832096410674088ull, + 1561311955430433451ull, 6568980001394759149ull}}, +{{7870550719724719149ull, 18134354102085954706ull, + 6563325962715429718ull, 8211225001743448936ull}}, +{{9530780218255337373ull, 6722285295376333787ull, + 4102078726697143574ull, 5132015626089655585ull}}, +{{7301789254391783812ull, 17626228656075193042ull, + 9739284426798817371ull, 6415019532612069481ull}}, +{{18350608604844505572ull, 17421099801666603398ull, + 16785791551925909618ull, 8018774415765086851ull}}, +{{6857444359600428079ull, 15499873394469015028ull, + 8185276710739999559ull, 5011734009853179282ull}}, +{{8571805449500535098ull, 14763155724658880881ull, + 1008223851570223641ull, 6264667512316474103ull}}, 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+{{8549702918292575412ull, 14043676391062638287ull, + 12336374434731266227ull, 5202602621332106919ull}}, +{{6075442629438331361ull, 12942909470400909955ull, + 10808782024986694880ull, 6503253276665133649ull}}, +{{2982617268370526297ull, 16178636838001137444ull, + 18122663549660756504ull, 8129066595831417061ull}}, +{{11087507829586354744ull, 10111648023750710902ull, + 13632507727751666767ull, 5080666622394635663ull}}, +{{4636012750128167622ull, 8027874011261000724ull, + 12428948641262195555ull, 6350833277993294579ull}}, +{{5795015937660209527ull, 5423156495648863001ull, + 10924499783150356540ull, 7938541597491618224ull}}, +{{15151100007106100715ull, 12612844846635315183ull, + 6827812364468972837ull, 4961588498432261390ull}}, +{{14327188990455237989ull, 1930998003011980267ull, + 17758137492440991855ull, 6201985623040326737ull}}, +{{13297300219641659582ull, 16248805559047139046ull, + 8362613810269076106ull, 7752482028800408422ull}}, +{{3699126618848649335ull, 14767189492831849808ull, + 614947612990784662ull, 4845301268000255264ull}} +}; + +static const UINT256 multipliers2_binary80[] = + { {{6207925045053820451ull, 7278732838564269635ull, + 11692571226397904350ull, 2627592000557903659ull}}, +{{3148220287889887660ull, 18321788085060112852ull, + 10004028014569992533ull, 3284490000697379574ull}}, +{{3935275359862359575ull, 9067177051042977353ull, + 3281662981357714859ull, 4105612500871724468ull}}, +{{13988762145982444495ull, 3361142647688166893ull, + 11274411400203347595ull, 2566007813044827792ull}}, +{{3650894627195891906ull, 18036486364892372329ull, + 14093014250254184493ull, 3207509766306034740ull}}, +{{9175304302422252786ull, 8710549900833301699ull, + 17616267812817730617ull, 4009387207882543425ull}}, +{{3428722179800214040ull, 16973308734089283322ull, + 4092638355369999779ull, 2505867004926589641ull}}, +{{13509274761605043357ull, 16604949899184216248ull, + 9727483962639887628ull, 3132333756158237051ull}}, +{{16886593452006304197ull, 2309443300270718694ull, + 7547668934872471632ull, 3915417195197796314ull}}, +{{5942434889076552219ull, 1443402062669199184ull, + 9328979102722682674ull, 2447135746998622696ull}}, +{{7428043611345690274ull, 11027624615191274788ull, + 11661223878403353342ull, 3058919683748278370ull}}, +{{9285054514182112842ull, 4561158732134317677ull, + 5353157811149415870ull, 3823649604685347963ull}}, +{{8109002080577514479ull, 16685782262866112260ull, + 1039880622754690966ull, 2389781002928342477ull}}, +{{10136252600721893098ull, 11633855791727864517ull, + 5911536796870751612ull, 2987226253660428096ull}}, +{{17282001769329754276ull, 14542319739659830646ull, + 7389420996088439515ull, 3734032817075535120ull}}, +{{6189565087403708519ull, 6783106828073700202ull, + 4618388122555274697ull, 2333770510672209450ull}}, +{{16960328396109411457ull, 13090569553519513156ull, + 14996357190048869179ull, 2917213138340261812ull}}, +{{2753666421427212705ull, 11751525923472003542ull, + 298702413851534858ull, 3646516422925327266ull}}, +{{12665455063638791689ull, 5466035367485228619ull, + 9596750054169194381ull, 4558145528656659082ull}}, +{{5610066405560550854ull, 5722115113891961839ull, + 10609654802283134392ull, 2848840955410411926ull}}, +{{2400896988523300663ull, 7152643892364952299ull, + 4038696465999142182ull, 3561051194263014908ull}}, +{{16836179290936289540ull, 18164176902310966181ull, + 5048370582498927727ull, 4451313992828768635ull}}, +{{12828455066048874915ull, 18270139591585435719ull, + 849388604848135877ull, 2782071245517980397ull}}, +{{11423882814133705740ull, 9002616434199630937ull, + 5673421774487557751ull, 3477589056897475496ull}}, +{{444795462384968462ull, 6641584524322150768ull, 7091777218109447189ull, + 4346986321121844370ull}}, +{{277997163990605289ull, 6456833336915038182ull, 9044046779745792397ull, + 2716866450701152731ull}}, +{{9570868491843032419ull, 12682727689571185631ull, + 6693372456254852592ull, 3396083063376440914ull}}, +{{7351899596376402620ull, 15853409611963982039ull, + 17590087607173341548ull, 4245103829220551142ull}}, +{{11512466275376333494ull, 685008970622712966ull, + 6382118736055950564ull, 2653189893262844464ull}}, +{{5167210807365641059ull, 856261213278391208ull, 7977648420069938205ull, + 3316487366578555580ull}}, +{{6459013509207051324ull, 5682012535025376914ull, + 9972060525087422756ull, 4145609208223194475ull}}, +{{8648569461681794981ull, 12774629871245636379ull, + 3926694818965945270ull, 2591005755139496547ull}}, +{{6199025808674855823ull, 6744915302202269666ull, 296682505280043684ull, + 3238757193924370684ull}}, +{{16972154297698345586ull, 8431144127752837082ull, + 370853131600054605ull, 4048446492405463355ull}}, +{{15219282454488853896ull, 7575308089059217128ull, + 16372684271745891792ull, 2530279057753414596ull}}, +{{577358994401515753ull, 9469135111324021411ull, 2019111265972813124ull, + 3162848822191768246ull}}, +{{14556756798284058404ull, 11836418889155026763ull, + 11747261119320792213ull, 3953561027739710307ull}}, +{{6792129989713842550ull, 9703604814935585679ull, + 5036195190361801181ull, 2470975642337318942ull}}, +{{3878476468714915284ull, 16741192037096870003ull, + 15518616024807027284ull, 3088719552921648677ull}}, +{{236409567466256201ull, 2479745972661535888ull, 5563211975726620394ull, + 3860899441152060847ull}}, +{{147755979666410126ull, 6161527251340847834ull, + 10394536512470219602ull, 2413062150720038029ull}}, +{{9408067011437788465ull, 16925281101030835600ull, + 17604856659015162406ull, 3016327688400047536ull}}, +{{11760083764297235581ull, 11933229339433768692ull, + 3559326750059401392ull, 3770409610500059421ull}}, +{{16573424389540548046ull, 7458268337146105432ull, + 4530422228000819822ull, 2356506006562537138ull}}, +{{2270036413216133442ull, 99463384577855983ull, 14886399821855800586ull, + 2945632508203171422ull}}, +{{16672603571802330514ull, 9347701267577095786ull, + 9384627740464974924ull, 3682040635253964278ull}}, +{{11617382427898137335ull, 11684626584471369733ull, + 2507412638726442847ull, 4602550794067455348ull}}, +{{9566707026650029786ull, 14220420642935687939ull, + 10790504936058802587ull, 2876594246292159592ull}}, +{{7346697764885149329ull, 13163839785242222020ull, + 13488131170073503234ull, 3595742807865199490ull}}, +{{9183372206106436661ull, 7231427694698001717ull, + 7636791925737103235ull, 4494678509831499363ull}}, +{{8045450638030216865ull, 2213799299972557121ull, + 2467151944371995570ull, 2809174068644687102ull}}, +{{14668499315965158985ull, 11990621161820472209ull, + 12307311967319770270ull, 3511467585805858877ull}}, +{{4500566089674285020ull, 5764904415420814454ull, + 1549081903867549126ull, 4389334482257323597ull}}, +{{16647911861328591849ull, 17438123314920172745ull, + 3274019199130912155ull, 2743334051410827248ull}}, +{{6974831771378576100ull, 17185968125222828028ull, + 4092523998913640194ull, 3429167564263534060ull}}, +{{8718539714223220124ull, 12259088119673759227ull, + 5115654998642050243ull, 4286459455329417575ull}}, +{{3143244312175818626ull, 5356087065582405565ull, + 10114813401792363258ull, 2679037159580885984ull}}, +{{8540741408647161186ull, 15918480868832782764ull, + 12643516752240454072ull, 3348796449476107480ull}}, +{{10675926760808951483ull, 1451357012331426839ull, + 15804395940300567591ull, 4185995561845134350ull}}, +{{13589983253146676533ull, 7824627160348223630ull, + 5266061444260466840ull, 2616247226153208969ull}}, +{{7764107029578569858ull, 9780783950435279538ull, + 11194262823752971454ull, 3270309032691511211ull}}, +{{481761750118436514ull, 3002607901189323615ull, 9381142511263826414ull, + 4087886290864389014ull}}, +{{7218630121465104678ull, 15711687993525490971ull, + 1251528051112503604ull, 2554928931790243134ull}}, +{{4411601633403992943ull, 1192865918197312098ull, + 10787782100745405314ull, 3193661164737803917ull}}, +{{14737874078609766987ull, 10714454434601415930ull, + 18096413644359144546ull, 3992076455922254896ull}}, +{{13822857317558492271ull, 11308220040053272860ull, + 11310258527724465341ull, 2495047784951409310ull}}, +{{17278571646948115338ull, 300216994784427363ull, + 4914451122800805869ull, 3118809731189261638ull}}, +{{16986528540257756269ull, 4986957261907922108ull, + 15366435940355783144ull, 3898512163986577047ull}}, +{{1393208300806321860ull, 3116848288692451318ull, + 16521551490363446321ull, 2436570102491610654ull}}, +{{10964882412862678133ull, 8507746379292952051ull, + 11428567326099532093ull, 3045712628114513318ull}}, +{{9094416997650959762ull, 15246368992543577968ull, + 5062337120769639308ull, 3807140785143141648ull}}, +{{5684010623531849852ull, 305608583484960422ull, 3163960700481024568ull, + 2379462990714463530ull}}, +{{16328385316269588122ull, 382010729356200527ull, + 13178322912456056518ull, 2974328738393079412ull}}, +{{15798795626909597249ull, 9700885448550026467ull, + 16472903640570070647ull, 3717910922991349265ull}}, +{{7568404257604804329ull, 12980582432984848398ull, + 3378035747715212298ull, 2323694326869593291ull}}, +{{237133285151229603ull, 7002356004376284690ull, + 18057602739926179085ull, 2904617908586991613ull}}, +{{9519788643293812811ull, 13364631023897743766ull, + 8736945369625560144ull, 3630772385733739517ull}}, +{{2676363767262490206ull, 16705788779872179708ull, + 15532867730459338084ull, 4538465482167174396ull}}, +{{10896099391393832187ull, 1217745950565336509ull, + 484670294682310495ull, 2836540926354483998ull}}, +{{18231810257669678138ull, 15357240493488834348ull, + 9829209905207663926ull, 3545676157943104997ull}}, +{{4343018748377546056ull, 9973178580006267128ull, + 16898198399936967812ull, 4432095197428881246ull}}, +{{2714386717735966285ull, 15456608649358692763ull, + 5949687981533216978ull, 2770059498393050779ull}}, +{{17228041452452121568ull, 10097388774843590145ull, + 2825423958489133319ull, 3462574372991313474ull}}, +{{7699993760282988248ull, 8010049950127099778ull, + 12755151984966192457ull, 4328217966239141842ull}}, +{{9424182118604255559ull, 16535496264897907121ull, + 12583656009031258189ull, 2705136228899463651ull}}, +{{16391913666682707353ull, 6834312275840220189ull, + 11117883992861684833ull, 3381420286124329564ull}}, +{{6654834028071220479ull, 13154576363227663141ull, + 13897354991077106041ull, 4226775357655411955ull}}, +{{6465114276758206752ull, 1304081199376207607ull, + 6380003860209497324ull, 2641734598534632472ull}}, +{{3469706827520370535ull, 1630101499220259509ull, + 7975004825261871655ull, 3302168248168290590ull}}, +{{8948819552827851073ull, 15872684929307488098ull, + 745383994722563760ull, 4127710310210363238ull}}, +{{10204698238944794825ull, 9920428080817180061ull, + 14300923051983766062ull, 2579818943881477023ull}}, +{{17367558817108381435ull, 3177163064166699268ull, + 13264467796552319674ull, 3224773679851846279ull}}, +{{3262704447675925178ull, 13194825867063149894ull, + 11968898727263011688ull, 4030967099814807849ull}}, +{{15874248335079616948ull, 8246766166914468683ull, + 563032676898300449ull, 2519354437384254906ull}}, +{{15231124400422133281ull, 14920143727070473758ull, + 9927162882977651369ull, 3149193046730318632ull}}, +{{9815533463672890793ull, 4815121603555928486ull, + 12408953603722064212ull, 3936491308412898290ull}}, +{{1523022396368168842ull, 12232823039077231112ull, + 12367282020753678036ull, 2460307067758061431ull}}, +{{1903777995460211052ull, 15291028798846538890ull, + 10847416507514709641ull, 3075383834697576789ull}}, +{{11603094531180039623ull, 5278727943276009900ull, + 18170956652820774956ull, 3844229793371970986ull}}, +{{16475306118842300573ull, 12522577001402281995ull, + 15968533926440372251ull, 2402643620857481866ull}}, +{{15982446630125487812ull, 11041535233325464590ull, + 10737295371195689506ull, 3003304526071852333ull}}, +{{10754686250802083957ull, 4578547004802054930ull, + 18033305232421999787ull, 3754130657589815416ull}}, +{{11333364925178690377ull, 555748868787590379ull, + 11270815770263749867ull, 2346331660993634635ull}}, +{{9555020138045975067ull, 14529744141266651686ull, + 9476833694402299429ull, 2932914576242043294ull}}, +{{2720403135702693026ull, 4327122121301150896ull, + 2622670081148098479ull, 3666143220302554118ull}}, +{{3400503919628366282ull, 797216633199050716ull, + 12501709638289898907ull, 4582679025378192647ull}}, +{{11348686986622504735ull, 16639161460245264361ull, + 14731097551572268672ull, 2864174390861370404ull}}, +{{350800677995967206ull, 2352207751597028836ull, + 18413871939465335841ull, 3580217988576713005ull}}, +{{438500847494959008ull, 7551945707923673949ull, 9182281869049506089ull, + 4475272485720891257ull}}, +{{2579906038898043332ull, 16249181113520765978ull, + 17268141214224411065ull, 2797045303575557035ull}}, +{{12448254585477329973ull, 6476418336618793760ull, + 16973490499353125928ull, 3496306629469446294ull}}, +{{15560318231846662466ull, 8095522920773492200ull, + 11993491087336631602ull, 4370383286836807868ull}}, +{{9725198894904164041ull, 9671387843910820529ull, + 16719303966440170559ull, 2731489554273004917ull}}, +{{16768184637057592956ull, 7477548786461137757ull, + 7064071902768049487ull, 3414361942841256147ull}}, +{{7125172741039827482ull, 4735249964649034293ull, + 4218403860032673955ull, 4267952428551570184ull}}, +{{6759075972363586129ull, 653688218691952481ull, 2636502412520421222ull, + 2667470267844731365ull}}, +{{13060530983881870565ull, 10040482310219716409ull, + 7907314034077914431ull, 3334337834805914206ull}}, +{{2490605674570174494ull, 7938916869347257608ull, 660770505742617231ull, + 4167922293507392758ull}}, +{{1556628546606359059ull, 11879352070983117861ull, + 14248039621371299481ull, 2604951433442120473ull}}, +{{6557471701685336727ull, 1014132033446733614ull, + 3974991471431960640ull, 3256189291802650592ull}}, +{{17420211663961446717ull, 1267665041808417017ull, + 4968739339289950800ull, 4070236614753313240ull}}, +{{3970103262334822342ull, 792290651130260636ull, 3105462087056219250ull, + 2543897884220820775ull}}, +{{4962629077918527928ull, 10213735350767601603ull, + 17716885664102437774ull, 3179872355276025968ull}}, +{{1591600328970772006ull, 3543797151604726196ull, + 3699363006418495602ull, 3974840444095032461ull}}, +{{10218122242461508312ull, 6826559238180341776ull, + 4617944888225253703ull, 2484275277559395288ull}}, +{{12772652803076885390ull, 3921513029298039316ull, + 5772431110281567129ull, 3105344096949244110ull}}, +{{15965816003846106737ull, 9513577305049937049ull, + 16438910924706734719ull, 3881680121186555137ull}}, +{{3061105974762734855ull, 12863514843297292512ull, + 3356790300300627343ull, 2426050075741596961ull}}, +{{3826382468453418568ull, 11467707535694227736ull, + 8807673893803172083ull, 3032562594676996201ull}}, +{{4782978085566773210ull, 9722948401190396766ull, + 15621278385681353008ull, 3790703243346245251ull}}, +{{16824419358761396969ull, 6076842750743997978ull, + 7457455981837151678ull, 2369189527091403282ull}}, +{{11807152161596970403ull, 16819425475284773281ull, + 98447940441663789ull, 2961486908864254103ull}}, 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+{{17844653936760480384ull, 7879444388312919738ull, + 4149217004770514598ull, 4425884835339920696ull}}, +{{15764594728902688144ull, 312966724268186932ull, + 2593260627981571624ull, 2766178022087450435ull}}, +{{1258999337418808564ull, 391208405335233666ull, + 17076633840259128242ull, 3457722527609313043ull}}, +{{10797121208628286513ull, 9712382543523817890ull, + 16734106281896522398ull, 4322153159511641304ull}}, +{{11359886773820066975ull, 1458553071274998277ull, + 10458816426185326499ull, 2701345724694775815ull}}, +{{364800411992920006ull, 15658249394375911559ull, + 8461834514304270219ull, 3376682155868469769ull}}, +{{14291058570273313720ull, 14961125724542501544ull, + 15188979161307725678ull, 4220852694835587211ull}}, +{{8931911606420821075ull, 4739017559411675561ull, + 7187268966603634597ull, 2638032934272242007ull}}, +{{15776575526453414248ull, 10535457967691982355ull, + 4372400189827155342ull, 3297541167840302509ull}}, +{{15109033389639379905ull, 3945950422760202136ull, + 10077186255711332082ull, 4121926459800378136ull}}, +{{9443145868524612441ull, 7077905032652514239ull, + 6298241409819582551ull, 2576204037375236335ull}}, +{{7192246317228377647ull, 4235695272388254895ull, + 3261115743847090285ull, 3220255046719045419ull}}, +{{4378621878108084155ull, 9906305108912706523ull, + 17911452735091026568ull, 4025318808398806773ull}}, +{{430795664603858645ull, 6191440693070441577ull, + 13500500968645585557ull, 2515824255249254233ull}}, +{{5150180599182211210ull, 12350986884765439875ull, + 3040568155524818234ull, 3144780319061567792ull}}, +{{1826039730550376108ull, 6215361569102024036ull, + 3800710194406022793ull, 3930975398826959740ull}}, +{{10364646868448760876ull, 15413816026757234782ull, + 11598815908358540053ull, 2456859624266849837ull}}, +{{3732436548706175287ull, 5432211978164379766ull, 663461830166011355ull, + 3071074530333562297ull}}, +{{13888917722737494916ull, 2178578954278086803ull, + 5441013306134902098ull, 3838843162916952871ull}}, +{{6374730567497240371ull, 5973297864851192156ull, + 10318162343975395667ull, 2399276976823095544ull}}, +{{7968413209371550464ull, 2854936312636602291ull, + 12897702929969244584ull, 2999096221028869430ull}}, +{{5348830493287050175ull, 3568670390795752864ull, + 6898756625606779922ull, 3748870276286086788ull}}, +{{3343019058304406360ull, 6842105012674733444ull, + 13535094927859013259ull, 2343043922678804242ull}}, +{{4178773822880507950ull, 3940945247416028901ull, + 7695496622968990766ull, 2928804903348505303ull}}, +{{9835153297028022841ull, 14149553596124811934ull, + 5007684760283850553ull, 3661006129185631629ull}}, +{{3070569584430252743ull, 3851883939873851206ull, + 10871291968782201096ull, 4576257661482039536ull}}, +{{15754164045551071677ull, 2407427462421157003ull, + 6794557480488875685ull, 2860161038426274710ull}}, +{{15081019038511451692ull, 7620970346453834158ull, + 17716568887465870414ull, 3575201298032843387ull}}, +{{9627901761284538806ull, 302840896212516890ull, + 17534025090904950114ull, 4469001622541054234ull}}, +{{10629124619230224658ull, 4800961578560210960ull, + 15570451700242981725ull, 2793126014088158896ull}}, +{{13286405774037780823ull, 10612887991627651604ull, + 1016320551594175540ull, 3491407517610198621ull}}, +{{16608007217547226028ull, 13266109989534564505ull, + 5882086707920107329ull, 4364259397012748276ull}}, +{{3462475483325934412ull, 1373789715818020960ull, + 12899676229304842889ull, 2727662123132967672ull}}, +{{4328094354157418015ull, 6328923163199914104ull, + 16124595286631053611ull, 3409577653916209590ull}}, +{{5410117942696772518ull, 3299467935572504726ull, + 10932372071434041206ull, 4261972067395261988ull}}, +{{17216381769467646536ull, 15897225515014979165ull, + 16056104581501051561ull, 2663732542122038742ull}}, +{{7685419156552394458ull, 6036473838486560245ull, + 10846758690021538644ull, 3329665677652548428ull}}, +{{14218459964117880976ull, 7545592298108200306ull, + 13558448362526923305ull, 4162082097065685535ull}}, +{{13498223496001063514ull, 16245210232386094951ull, + 15391559254220408921ull, 2601301310666053459ull}}, +{{12261093351573941489ull, 6471454735200454977ull, + 14627763049348123248ull, 3251626638332566824ull}}, +{{1491308634185263149ull, 8089318419000568722ull, + 18284703811685154060ull, 4064533297915708530ull}}, +{{5543753914793177372ull, 14279196048730131259ull, + 16039625900730609191ull, 2540333311197317831ull}}, +{{2318006375064083811ull, 13237309042485276170ull, + 15437846357485873585ull, 3175416638996647289ull}}, +{{12120880005684880572ull, 2711578247824431500ull, + 5462249891575178270ull, 3969270798745809112ull}}, +{{16798922040407826166ull, 15529794460172433399ull, + 3413906182234486418ull, 2480794249216130695ull}}, +{{16386966532082394803ull, 10188871038360765941ull, + 18102440783075271735ull, 3100992811520163368ull}}, +{{6648650109820829791ull, 8124402779523569523ull, + 4181306905134538053ull, 3876241014400204211ull}}, +{{1849563309424324668ull, 7383594746415924904ull, 307473806495392331ull, + 2422650634000127632ull}} +}; + +#endif // matches #if __ENABLE_BINARY80__ + +// ********************************************************************** + +static const UINT128 breakpoints_binary128[] = + { {{2195700805160846264ull, 1755099732929698ull}}, +{{9135258273612497656ull, 1404079786343758ull}}, +{{10927064423038085928ull, 2246527658150013ull}}, +{{16120349167914289388ull, 1797222126520010ull}}, +{{12896279334331431512ull, 1437777701216008ull}}, +{{17695721096948965856ull, 1150222160972806ull}}, +{{2487712051924973104ull, 1840355457556491ull}}, +{{16747564900507619776ull, 1472284366045192ull}}, +{{6019354290922275176ull, 1177827492836154ull}}, +{{17009664494959460928ull, 1884523988537846ull}}, +{{9918382781225658420ull, 1507619190830277ull}}, +{{556008595496706088ull, 1206095352664222ull}}, +{{4578962567536640064ull, 1929752564262755ull}}, +{{3663170054029312052ull, 1543802051410204ull}}, +{{6619884857965359964ull, 1235041641128163ull}}, +{{6902466958002665620ull, 1976066625805061ull}}, +{{1832624751660222172ull, 1580853300644049ull}}, +{{5155448616070088060ull, 1264682640515239ull}}, +{{15627415415195961544ull, 2023492224824382ull}}, +{{5123234702672948588ull, 1618793779859506ull}}, +{{409238947396448548ull, 1295035023887605ull}}, +{{654782315834317676ull, 2072056038220168ull}}, +{{7902523482151274788ull, 1657644830576134ull}}, +{{10011367600462930152ull, 1326115864460907ull}}, +{{1260792901773046952ull, 2121785383137452ull}}, +{{12076680765644168532ull, 1697428306509961ull}}, +{{5971995797773424504ull, 1357942645207969ull}}, +{{16933890905921299852ull, 2172708232332750ull}}, +{{13547112724737039880ull, 1738166585866200ull}}, +{{10837690179789631904ull, 1390533268692960ull}}, +{{17340304287663411048ull, 2224853229908736ull}}, +{{10182894615388818516ull, 1779882583926989ull}}, +{{11835664507052965136ull, 1423906067141591ull}}, +{{5779182790900461784ull, 1139124853713273ull}}, +{{5557343650698828532ull, 1822599765941237ull}}, +{{15513921364784793796ull, 1458079812752989ull}}, +{{16100485906569745360ull, 1166463850202391ull}}, +{{18382079821027771928ull, 1866342160323826ull}}, +{{11016315042080307220ull, 1493073728259061ull}}, +{{5123703218922335452ull, 1194458982607249ull}}, +{{15576622779759557372ull, 1911134372171598ull}}, +{{1393251779581914928ull, 1528907497737279ull}}, +{{4803950238407442264ull, 1223125998189823ull}}, +{{3996971566709997300ull, 1957001597103717ull}}, +{{14265623697593728808ull, 1565601277682973ull}}, +{{344452513849252076ull, 1252481022146379ull}}, +{{7929821651642623972ull, 2003969635434206ull}}, +{{2654508506572188852ull, 1603175708347365ull}}, +{{2123606805257751084ull, 1282540566677892ull}}, +{{7087119703154312056ull, 2052064906684627ull}}, +{{16737742206749180616ull, 1641651925347701ull}}, +{{9700844950657434168ull, 1313321540278161ull}}, +{{8142654291568074024ull, 2101314464445058ull}}, +{{13892821062738279864ull, 1681051571556046ull}}, +{{7424908035448713568ull, 1344841257244837ull}}, +{{15569201671459852032ull, 2151746011591739ull}}, +{{16144710151909791948ull, 1721396809273391ull}}, +{{9226419306785923236ull, 1377117447418713ull}}, +{{11072922076115566856ull, 2203387915869941ull}}, +{{5168988846150543160ull, 1762710332695953ull}}, +{{11513888706404255176ull, 1410168266156762ull}}, +{{1832413335639583492ull, 1128134612925410ull}}, +{{2931861337023333592ull, 1805015380680656ull}}, +{{17102884328586308164ull, 1444012304544524ull}}, +{{17371656277610956856ull, 1155209843635619ull}}, +{{16726603599951800000ull, 1848335749816991ull}}, +{{9691934065219529676ull, 1478668599853593ull}}, +{{15132244881659444388ull, 1182934879882874ull}}, +{{13143545366429380048ull, 1892695807812599ull}}, +{{14204185107885414364ull, 1514156646250079ull}}, +{{15052696901050241812ull, 1211325317000063ull}}, +{{1948222153228924964ull, 1938120507200102ull}}, +{{12626624166808870940ull, 1550496405760081ull}}, +{{6411950518705186428ull, 1240397124608065ull}}, +{{10259120829928298284ull, 1984635399372904ull}}, +{{11896645478684548952ull, 1587708319498323ull}}, +{{16896014012431459808ull, 1270166655598658ull}}, +{{4897529531438873752ull, 2032266648957854ull}}, +{{7607372439893009324ull, 1625813319166283ull}}, +{{13464595581398228108ull, 1300650655333026ull}}, +{{14164655300753344324ull, 2081041048532842ull}}, +{{3953026611118854812ull, 1664832838826274ull}}, +{{6851770103636994172ull, 1331866271061019ull}}, +{{18341529795303011324ull, 2130986033697630ull}}, +{{14673223836242409060ull, 1704788826958104ull}}, +{{15427927883735837572ull, 1363831061566483ull}}, +{{2548591725525878176ull, 2182129698506374ull}}, +{{5728222195162612864ull, 1745703758805099ull}}, +{{8271926570872000612ull, 1396563007044079ull}}, +{{2167036069169470012ull, 2234500811270527ull}}, +{{12801675299561306980ull, 1787600649016421ull}}, +{{6551991424907135260ull, 1430080519213137ull}}, +{{16309639584151439176ull, 1144064415370509ull}}, +{{15027376890416571716ull, 1830503064592815ull}}, +{{12021901512333257372ull, 1464402451674252ull}}, +{{2238823580382785252ull, 1171521961339402ull}}, +{{7271466543354366724ull, 1874435138143043ull}}, +{{13195870864167314024ull, 1499548110514434ull}}, +{{14246045506075761544ull, 1199638488411547ull}}, +{{8036277550753577176ull, 1919421581458476ull}}, +{{2739673225860951420ull, 1535537265166781ull}}, +{{16949133839656402428ull, 1228429812133424ull}}, +{{16050567699224512916ull, 1965487699413479ull}}, +{{16529802974121520656ull, 1572390159530783ull}}, +{{2155795935071485556ull, 1257912127624627ull}}, +{{7138622310856287212ull, 2012659404199403ull}}, +{{13089595478168850416ull, 1610127523359522ull}}, +{{3092978753051259684ull, 1288102018687618ull}}, +{{1259417190140105172ull, 2060963229900189ull}}, +{{4696882566853994460ull, 1648770583920151ull}}, +{{68157238741285244ull, 1319016467136121ull}}, +{{11177098026211787364ull, 2110426347417793ull}}, +{{16320376050453250536ull, 1688341077934234ull}}, +{{16745649655104510752ull, 1350672862347387ull}}, +{{12035644189199575912ull, 2161076579755820ull}}, +{{9628515351359660728ull, 1728861263804656ull}}, +{{4013463466345818260ull, 1383089011043725ull}}, +{{6421541546153309216ull, 2212942417669960ull}}, +{{5137233236922647372ull, 1770353934135968ull}}, +{{11488484219021938544ull, 1416283147308774ull}}, +{{12880136189959461160ull, 1133026517847019ull}}, +{{9540171459709406884ull, 1812842428555231ull}}, +{{3942788353025615184ull, 1450273942844185ull}}, +{{3154230682420492148ull, 1160219154275348ull}}, +{{1357420277130877116ull, 1856350646840557ull}}, +{{12153982665930432660ull, 1485080517472445ull}}, +{{9723186132744346128ull, 1188064413977956ull}}, +{{8178400182907133160ull, 1900903062364730ull}}, +{{6542720146325706528ull, 1520722449891784ull}}, +{{8923524931802475544ull, 1216577959913427ull}}, +{{17966988705625871196ull, 1946524735861483ull}}, +{{3305544520274965988ull, 1557219788689187ull}}, +{{13712482060445703760ull, 1245775830951349ull}}, +{{10871924852487395044ull, 1993241329522159ull}}, +{{12386888696731826360ull, 1594593063617727ull}}, +{{2530813327901640440ull, 1275674450894182ull}}, +{{7738650139384535028ull, 2041079121430691ull}}, +{{2501571296765717700ull, 1632863297144553ull}}, +{{9379954666896394804ull, 1306290637715642ull}}, +{{250532208066590396ull, 2090065020345028ull}}, +{{7579123395937092964ull, 1672052016276022ull}}, +{{17131345160975405340ull, 1337641613020817ull}}, +{{12652756998593007252ull, 2140226580833308ull}}, +{{17500903228358226448ull, 1712181264666646ull}}, +{{10311373767944670836ull, 1369745011733317ull}}, +{{1740802769743832044ull, 2191592018773308ull}}, +{{8771339845278886280ull, 1753273615018646ull}}, +{{3327723061481198700ull, 1402618892014917ull}}, +{{9013705713111828248ull, 2244190227223867ull}}, +{{18279011014715193568ull, 1795352181779093ull}}, +{{3555162367546423884ull, 1436281745423275ull}}, +{{2844129894037139108ull, 1149025396338620ull}}, +{{4550607830459422572ull, 1838440634141792ull}}, +{{14708532708593269028ull, 1470752507313433ull}}, +{{698779722648884252ull, 1176602005850747ull}}, +{{4807396370980125128ull, 1882563209361195ull}}, +{{3845917096784100100ull, 1506050567488956ull}}, +{{17834128936394921372ull, 1204840453991164ull}}, +{{17466559854006143228ull, 1927744726385863ull}}, +{{2905201438979183612ull, 1542195781108691ull}}, +{{17081556410150988184ull, 1233756624886952ull}}, +{{12573094997273939800ull, 1974010599819124ull}}, +{{13747824812561062164ull, 1579208479855299ull}}, +{{14687608664790760052ull, 1263366783884239ull}}, +{{12432127419439485116ull, 2021386854214783ull}}, +{{17324399565035408740ull, 1617109483371826ull}}, +{{10170170837286416668ull, 1293687586697461ull}}, +{{8893575710174446024ull, 2069900138715938ull}}, +{{14493558197623377464ull, 1655920110972750ull}}, +{{11594846558098701972ull, 1324736088778200ull}}, +{{105010419248371540ull, 2119577742045121ull}}, +{{14841403594366338524ull, 1695662193636096ull}}, +{{8183774060751160496ull, 1356529754908877ull}}, +{{16783387311943767116ull, 2170447607854203ull}}, +{{2358663405329282724ull, 1736358086283363ull}}, +{{9265628353747246824ull, 1389086469026690ull}}, +{{14825005365995594920ull, 2222538350442704ull}}, +{{15549353107538386260ull, 1778030680354163ull}}, +{{1371436041804978036ull, 1422424544283331ull}}, +{{15854544092411623724ull, 1137939635426664ull}}, +{{14299224103632866988ull, 1820703416682663ull}}, +{{371332838680562620ull, 1456562733346131ull}}, +{{15054461529912091388ull, 1165250186676904ull}}, +{{13019092003633615252ull, 1864400298683047ull}}, +{{3036575973423071556ull, 1491520238946438ull}}, +{{9807958408222277892ull, 1193216191157150ull}}, +{{15692733453155644628ull, 1909145905851440ull}}, +{{12554186762524515700ull, 1527316724681152ull}}, +{{2664651780535791912ull, 1221853379744922ull}}, +{{7952791663599177388ull, 1954965407591875ull}}, +{{6362233330879341908ull, 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2206479690122793ull}}, +{{17585049519869022796ull, 1765183752098234ull}}, +{{17757388430637128560ull, 1412147001678587ull}}, +{{6827213115025882200ull, 1129717601342870ull}}, +{{10923540984041411524ull, 1807548162148592ull}}, +{{1360135157749308572ull, 1446038529718874ull}}, +{{4777456940941357180ull, 1156830823775099ull}}, +{{15022628734989992136ull, 1850929318040158ull}}, +{{950056543766262740ull, 1480743454432127ull}}, +{{11828091679238741160ull, 1184594763545701ull}}, +{{11546249057298165212ull, 1895351621673122ull}}, +{{1858301616354711520ull, 1516281297338498ull}}, +{{8865338922567589864ull, 1213025037870798ull}}, +{{10495193461366233460ull, 1940840060593277ull}}, +{{1017457139609166120ull, 1552672048474622ull}}, +{{11882012155913063864ull, 1242137638779697ull}}, +{{4253824190493260892ull, 1987420222047516ull}}, +{{18160454611362250008ull, 1589936177638012ull}}, +{{7149666059605979360ull, 1271948942110410ull}}, +{{11439465695369566976ull, 2035118307376656ull}}, +{{5462223741553743256ull, 1628094645901325ull}}, +{{4369778993242994604ull, 1302475716721060ull}}, +{{6991646389188791368ull, 2083961146753696ull}}, +{{1903968296609122772ull, 1667168917402957ull}}, +{{12591221081513029188ull, 1333735133922365ull}}, +{{1699209656711295084ull, 2133976214275785ull}}, +{{1359367725369036068ull, 1707180971420628ull}}, +{{8466191809779049500ull, 1365744777136502ull}}, +{{17235255710388389524ull, 2185191643418403ull}}, +{{2720158124084980648ull, 1748153314734723ull}}, +{{9554824128751805164ull, 1398522651787778ull}}, +{{11598369791260977940ull, 2237636242860445ull}}, +{{9278695833008782352ull, 1790108994288356ull}}, +{{3733607851665115560ull, 1432087195430685ull}}, +{{2986886281332092448ull, 1145669756344548ull}}, +{{1089669235389437592ull, 1833071610151277ull}}, +{{11939781832537281044ull, 1466457288121021ull}}, +{{5862476651287914512ull, 1173165830496817ull}}, +{{13069311456802573544ull, 1877065328794907ull}}, +{{3076751535958238188ull, 1501652263035926ull}}, +{{17218796487734231840ull, 1201321810428740ull}}, +{{9103330306665219332ull, 1922114896685985ull}}, +{{7282664245332175464ull, 1537691917348788ull}}, +{{13204829025749561020ull, 1230153533879030ull}}, +{{2680982367489746016ull, 1968245654206449ull}}, +{{5834134708733707136ull, 1574596523365159ull}}, +{{8356656581728876032ull, 1259677218692127ull}}, +{{17059999345508111972ull, 2015483549907403ull}}, +{{2579953032180758608ull, 1612386839925923ull}}, +{{9442660055228427532ull, 1289909471940738ull}}, +{{11418907273623573732ull, 2063855155105181ull}}, +{{5445777004156948660ull, 1651084124084145ull}}, +{{4356621603325558928ull, 1320867299267316ull}}, +{{18038641009546625256ull, 2113387678827705ull}}, +{{14430912807637300204ull, 1690710143062164ull}}, +{{15234079060851750488ull, 1352568114449731ull}}, +{{16995828867878980132ull, 2164108983119570ull}}, +{{13596663094303184104ull, 1731287186495656ull}}, +{{7187981660700636960ull, 1385029749196525ull}}, +{{11500770657121019140ull, 2216047598714440ull}}, +{{9200616525696815312ull, 1772838078971552ull}}, +{{18428539664783183216ull, 1418270463177241ull}}, +{{11053482917084636252ull, 1134616370541793ull}}, +{{13996223852593507680ull, 1815386192866869ull}}, +{{14886327896816716464ull, 1452308954293495ull}}, +{{11909062317453373172ull, 1161847163434796ull}}, +{{11675802078441576432ull, 1858955461495674ull}}, +{{13029990477495171468ull, 1487164369196539ull}}, +{{14113341196738047496ull, 1189731495357231ull}}, +{{15202648285297055348ull, 1903570392571570ull}}, +{{12162118628237644280ull, 1522856314057256ull}}, +{{6040346087848205100ull, 1218285051245805ull}}, +{{9664553740557128160ull, 1949256081993288ull}}, +{{15110340621929523176ull, 1559404865594630ull}}, +{{12088272497543618540ull, 1247523892475704ull}}, +{{8273189551844058696ull, 1996038227961127ull}}, +{{17686598085700977924ull, 1596830582368901ull}}, +{{10459929653818872016ull, 1277464465895121ull}}, +{{9357189816626374580ull, 2043943145432194ull}}, +{{11175100668043009988ull, 1635154516345755ull}}, +{{8940080534434407988ull, 1308123613076604ull}}, +{{3236082410869321816ull, 2092997780922567ull}}, +{{13656912372921188420ull, 1674398224738053ull}}, +{{18304227527820771384ull, 1339518579790442ull}}, +{{14529368785545592920ull, 2143229727664708ull}} +}; + +static const int exponents_binary128[] = { -115, + -112, + -108, + -105, + -102, + -99, + -95, + -92, + -89, + -85, + -82, + -79, + -75, + -72, + -69, + -65, + -62, + -59, + -55, + -52, + -49, + -45, + -42, + -39, + -35, + -32, + -29, + -25, + -22, + -19, + -15, + -12, + -9, + -6, + -2, + 1, + 4, + 8, + 11, + 14, + 18, + 21, + 24, + 28, + 31, + 34, + 38, + 41, + 44, + 48, + 51, + 54, + 58, + 61, + 64, + 68, + 71, + 74, + 78, + 81, + 84, + 87, + 91, + 94, + 97, + 101, + 104, + 107, + 111, + 114, + 117, + 121, + 124, + 127, + 131, + 134, + 137, + 141, + 144, + 147, + 151, + 154, + 157, + 161, + 164, + 167, + 171, + 174, + 177, + 181, + 184, + 187, + 190, + 194, + 197, + 200, + 204, + 207, + 210, + 214, + 217, + 220, + 224, + 227, + 230, + 234, + 237, + 240, + 244, + 247, + 250, + 254, + 257, + 260, + 264, + 267, + 270, + 274, + 277, + 280, + 283, + 287, + 290, + 293, + 297, + 300, + 303, + 307, + 310, + 313, + 317, + 320, + 323, + 327, + 330, + 333, + 337, + 340, + 343, + 347, + 350, + 353, + 357, + 360, + 363, + 367, + 370, + 373, + 377, + 380, + 383, + 386, + 390, + 393, + 396, + 400, + 403, + 406, + 410, + 413, + 416, + 420, + 423, + 426, + 430, + 433, + 436, + 440, + 443, + 446, + 450, + 453, + 456, + 460, + 463, + 466, + 470, + 473, + 476, + 479, + 483, + 486, + 489, + 493, + 496, + 499, + 503, + 506, + 509, + 513, + 516, + 519, + 523, + 526, + 529, + 533, + 536, + 539, + 543, + 546, + 549, + 553, + 556, + 559, + 563, + 566, + 569, + 572, + 576, + 579, + 582, + 586, + 589, + 592, + 596, + 599, + 602, + 606, + 609, + 612, + 616, + 619, + 622, + 626, + 629, + 632, + 636, + 639, + 642, + 646, + 649, + 652, + 656, + 659, + 662, + 666, + 669, + 672, + 675, + 679, + 682, + 685, + 689, + 692, + 695, + 699, + 702, + 705, + 709, + 712, + 715, + 719, + 722, + 725, + 729, + 732, + 735, + 739, + 742, + 745, + 749, + 752, + 755, + 759, + 762, + 765, + 768, + 772, + 775, + 778, + 782, + 785, + 788, + 792, + 795, + 798, + 802, + 805, + 808, + 812, + 815, + 818, + 822, + 825, + 828, + 832, + 835, + 838, + 842, + 845, + 848, + 852, + 855, + 858, + 862, + 865, + 868, + 871, + 875, + 878, + 881, + 885, + 888, + 891, + 895, + 898, + 901, + 905, + 908, + 911, + 915, + 918, + 921, + 925, + 928, + 931, + 935, + 938, + 941, + 945, + 948, + 951, + 955, + 958, + 961, + 964, + 968, + 971, + 974, + 978, + 981, + 984, + 988, + 991, + 994, + 998, + 1001, + 1004, + 1008, + 1011, + 1014, + 1018, + 1021, + 1024, + 1028, + 1031, + 1034, + 1038, + 1041, + 1044, + 1048, + 1051, + 1054, + 1058, + 1061, + 1064, + 1067, + 1071, + 1074, + 1077, + 1081, + 1084, + 1087, + 1091, + 1094, + 1097, + 1101, + 1104, + 1107, + 1111, + 1114, + 1117, + 1121, + 1124, + 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1958, + 1961, + 1964, + 1968, + 1971, + 1974, + 1978, + 1981, + 1984, + 1988, + 1991, + 1994, + 1998, + 2001, + 2004, + 2008, + 2011, + 2014, + 2018, + 2021, + 2024, + 2028, + 2031, + 2034, + 2037, + 2041, + 2044, + 2047, + 2051, + 2054, + 2057, + 2061, + 2064, + 2067, + 2071, + 2074, + 2077, + 2081, + 2084, + 2087, + 2091, + 2094, + 2097, + 2101, + 2104, + 2107, + 2111, + 2114, + 2117, + 2121, + 2124, + 2127, + 2130, + 2134, + 2137, + 2140, + 2144, + 2147, + 2150, + 2154, + 2157, + 2160, + 2164, + 2167, + 2170, + 2174, + 2177, + 2180, + 2184, + 2187, + 2190, + 2194, + 2197, + 2200, + 2204, + 2207, + 2210, + 2214, + 2217, + 2220, + 2223, + 2227, + 2230, + 2233, + 2237, + 2240, + 2243, + 2247, + 2250, + 2253, + 2257, + 2260, + 2263, + 2267, + 2270, + 2273, + 2277, + 2280, + 2283, + 2287, + 2290, + 2293, + 2297, + 2300, + 2303, + 2307, + 2310, + 2313, + 2317, + 2320, + 2323, + 2326, + 2330, + 2333, + 2336, + 2340, + 2343, + 2346, + 2350, + 2353, + 2356, + 2360, + 2363, + 2366, + 2370, + 2373, + 2376, + 2380, + 2383, + 2386, + 2390, + 2393, + 2396, + 2400, + 2403, + 2406, + 2410, + 2413, + 2416, + 2419, + 2423, + 2426, + 2429, + 2433, + 2436, + 2439, + 2443, + 2446, + 2449, + 2453, + 2456, + 2459, + 2463, + 2466, + 2469, + 2473, + 2476, + 2479, + 2483, + 2486, + 2489, + 2493, + 2496, + 2499, + 2503, + 2506, + 2509, + 2513, + 2516, + 2519, + 2522, + 2526, + 2529, + 2532, + 2536, + 2539, + 2542, + 2546, + 2549, + 2552, + 2556, + 2559, + 2562, + 2566, + 2569, + 2572, + 2576, + 2579, + 2582, + 2586, + 2589, + 2592, + 2596, + 2599, + 2602, + 2606, + 2609, + 2612, + 2615, + 2619, + 2622, + 2625, + 2629, + 2632, + 2635, + 2639, + 2642, + 2645, + 2649, + 2652, + 2655, + 2659, + 2662, + 2665, + 2669, + 2672, + 2675, + 2679, + 2682, + 2685, + 2689, + 2692, + 2695, + 2699, + 2702, + 2705, + 2708, + 2712, + 2715, + 2718, + 2722, + 2725, + 2728, + 2732, + 2735, + 2738, + 2742, + 2745, + 2748, + 2752, + 2755, + 2758, + 2762, + 2765, + 2768, + 2772, + 2775, + 2778, + 2782, + 2785, + 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multipliers2_binary128[] = + { {{7710430832988809084ull, 13621041698348090301ull, + 15069458432386386555ull, 2958405588648567759ull}}, +{{14249724559663399259ull, 12414616104507724972ull, + 14225137022055595290ull, 3698006985810709699ull}}, +{{18129449886644400345ull, 12370821083744716011ull, + 6584867629571053104ull, 2311254366131693562ull}}, +{{18050126339878112527ull, 15463526354680895014ull, + 17454456573818592188ull, 2889067957664616952ull}}, +{{13339285887992864851ull, 882663869641567152ull, + 3371326643563688620ull, 3611334947080771191ull}}, +{{16674107359991081063ull, 1103329837051958940ull, + 18049216359736774487ull, 4514168683850963988ull}}, +{{1197945063139649857ull, 7607110175798556194ull, + 2057388187980708246ull, 2821355427406852493ull}}, +{{10720803365779338129ull, 285515682893419434ull, + 7183421253403273212ull, 3526694284258565616ull}}, +{{4177632170369396853ull, 356894603616774293ull, 8979276566754091515ull, + 4408367855323207020ull}}, +{{4916863115694566985ull, 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18421717263241434555ull, + 13325226743472638266ull, 4596101585354480616ull}}, +{{3564172081345348886ull, 16125259307953284501ull, + 8328266714670398916ull, 2872563490846550385ull}}, +{{9066901120109074011ull, 1709830061232054010ull, + 15022019411765386550ull, 3590704363558187981ull}}, +{{2110254363281566706ull, 11360659613394843321ull, + 4942466209424569475ull, 4488380454447734977ull}}, +{{12848124023119448951ull, 4794569249158083123ull, + 14618256426958825682ull, 2805237784029834360ull}}, +{{11448469010471923285ull, 15216583598302379712ull, + 18272820533698532102ull, 3506547230037292950ull}}, +{{14310586263089904106ull, 9797357461023198832ull, + 13617653630268389320ull, 4383184037546616188ull}}, +{{8944116414431190067ull, 6123348413139499270ull, + 17734405555772519133ull, 2739490023466635117ull}}, +{{1956773481184211775ull, 12265871534851761992ull, + 8332948889433485204ull, 3424362529333293897ull}}, +{{2445966851480264719ull, 15332339418564702490ull, + 15027872130219244409ull, 4280453161666617371ull}}, +{{6140415300602553353ull, 2665183108961857200ull, + 7086577072173333804ull, 2675283226041635857ull}}, +{{7675519125753191692ull, 3331478886202321500ull, + 13469907358644055159ull, 3344104032552044821ull}}, +{{9594398907191489614ull, 17999406663035065587ull, + 3002326143022905236ull, 4180130040690056027ull}}, +{{3690656307780987057ull, 2026257127542140184ull, + 18017354903885173437ull, 2612581275431285016ull}}, +{{4613320384726233821ull, 7144507427855063134ull, + 4074949556146915180ull, 3265726594289106271ull}}, +{{14990022517762568085ull, 8930634284818828917ull, + 482000926756256071ull, 4082158242861382839ull}}, +{{11674607082815299005ull, 12499175455652849929ull, + 7218779606863741900ull, 2551348901788364274ull}}, +{{758200798236960044ull, 15623969319566062412ull, + 18246846545434453183ull, 3189186127235455342ull}}, +{{947750997796200055ull, 14918275631030190111ull, + 13585186144938290671ull, 3986482659044319178ull}}, +{{7509873401263706891ull, 16241451297034950675ull, + 13102427359013819573ull, 2491551661902699486ull}}, +{{4775655733152245709ull, 6466756066011524632ull, + 7154662161912498659ull, 3114439577378374358ull}}, +{{5969569666440307136ull, 3471759064087017886ull, + 18166699739245399132ull, 3893049471722967947ull}}, +{{17566039096807355672ull, 11393221451909161986ull, + 9048344327814680505ull, 2433155919826854967ull}}, +{{12734176834154418782ull, 406468759604288771ull, + 6698744391340962728ull, 3041444899783568709ull}}, +{{11306035024265635574ull, 508085949505360964ull, + 12985116507603591314ull, 3801806124729460886ull}}, +{{16289643927020798042ull, 4929239736868238506ull, + 3504011798824856667ull, 2376128827955913054ull}}, +{{11138682871921221744ull, 1549863652657910229ull, + 13603386785385846642ull, 2970161034944891317ull}}, +{{88295534619363468ull, 11160701602677163595ull, 3169175426450144590ull, + 3712701293681114147ull}}, +{{16196085773632959832ull, 2363752483245839342ull, + 18121635706027198033ull, 2320438308550696341ull}}, +{{11021735180186423982ull, 7566376622484687082ull, + 8816986577251833829ull, 2900547885688370427ull}}, +{{4553796938378254169ull, 14069656796533246757ull, + 6409547203137404382ull, 3625684857110463034ull}}, +{{10303932191400205615ull, 8363698958811782638ull, + 17235306040776531286ull, 4532106071388078792ull}}, +{{1828271601197740605ull, 615625830829976245ull, + 10772066275485332054ull, 2832566294617549245ull}}, +{{6897025519924563661ull, 9992904325392246114ull, + 18076768862784052971ull, 3540707868271936556ull}}, +{{17844653936760480384ull, 7879444388312919738ull, + 4149217004770514598ull, 4425884835339920696ull}}, +{{15764594728902688144ull, 312966724268186932ull, + 2593260627981571624ull, 2766178022087450435ull}}, +{{1258999337418808564ull, 391208405335233666ull, + 17076633840259128242ull, 3457722527609313043ull}}, +{{10797121208628286513ull, 9712382543523817890ull, + 16734106281896522398ull, 4322153159511641304ull}}, +{{11359886773820066975ull, 1458553071274998277ull, + 10458816426185326499ull, 2701345724694775815ull}}, +{{364800411992920006ull, 15658249394375911559ull, + 8461834514304270219ull, 3376682155868469769ull}}, +{{14291058570273313720ull, 14961125724542501544ull, + 15188979161307725678ull, 4220852694835587211ull}}, +{{8931911606420821075ull, 4739017559411675561ull, + 7187268966603634597ull, 2638032934272242007ull}}, +{{15776575526453414248ull, 10535457967691982355ull, + 4372400189827155342ull, 3297541167840302509ull}}, +{{15109033389639379905ull, 3945950422760202136ull, + 10077186255711332082ull, 4121926459800378136ull}}, +{{9443145868524612441ull, 7077905032652514239ull, + 6298241409819582551ull, 2576204037375236335ull}}, +{{7192246317228377647ull, 4235695272388254895ull, + 3261115743847090285ull, 3220255046719045419ull}}, +{{4378621878108084155ull, 9906305108912706523ull, + 17911452735091026568ull, 4025318808398806773ull}}, +{{430795664603858645ull, 6191440693070441577ull, + 13500500968645585557ull, 2515824255249254233ull}}, +{{5150180599182211210ull, 12350986884765439875ull, + 3040568155524818234ull, 3144780319061567792ull}}, +{{1826039730550376108ull, 6215361569102024036ull, + 3800710194406022793ull, 3930975398826959740ull}}, +{{10364646868448760876ull, 15413816026757234782ull, + 11598815908358540053ull, 2456859624266849837ull}}, +{{3732436548706175287ull, 5432211978164379766ull, 663461830166011355ull, + 3071074530333562297ull}}, +{{13888917722737494916ull, 2178578954278086803ull, + 5441013306134902098ull, 3838843162916952871ull}}, +{{6374730567497240371ull, 5973297864851192156ull, + 10318162343975395667ull, 2399276976823095544ull}}, +{{7968413209371550464ull, 2854936312636602291ull, + 12897702929969244584ull, 2999096221028869430ull}}, +{{5348830493287050175ull, 3568670390795752864ull, + 6898756625606779922ull, 3748870276286086788ull}}, +{{3343019058304406360ull, 6842105012674733444ull, + 13535094927859013259ull, 2343043922678804242ull}}, +{{4178773822880507950ull, 3940945247416028901ull, + 7695496622968990766ull, 2928804903348505303ull}}, +{{9835153297028022841ull, 14149553596124811934ull, + 5007684760283850553ull, 3661006129185631629ull}}, +{{3070569584430252743ull, 3851883939873851206ull, + 10871291968782201096ull, 4576257661482039536ull}}, +{{15754164045551071677ull, 2407427462421157003ull, + 6794557480488875685ull, 2860161038426274710ull}}, +{{15081019038511451692ull, 7620970346453834158ull, + 17716568887465870414ull, 3575201298032843387ull}}, +{{9627901761284538806ull, 302840896212516890ull, + 17534025090904950114ull, 4469001622541054234ull}}, +{{10629124619230224658ull, 4800961578560210960ull, + 15570451700242981725ull, 2793126014088158896ull}}, +{{13286405774037780823ull, 10612887991627651604ull, + 1016320551594175540ull, 3491407517610198621ull}}, +{{16608007217547226028ull, 13266109989534564505ull, + 5882086707920107329ull, 4364259397012748276ull}}, +{{3462475483325934412ull, 1373789715818020960ull, + 12899676229304842889ull, 2727662123132967672ull}}, +{{4328094354157418015ull, 6328923163199914104ull, + 16124595286631053611ull, 3409577653916209590ull}}, +{{5410117942696772518ull, 3299467935572504726ull, + 10932372071434041206ull, 4261972067395261988ull}}, +{{17216381769467646536ull, 15897225515014979165ull, + 16056104581501051561ull, 2663732542122038742ull}}, +{{7685419156552394458ull, 6036473838486560245ull, + 10846758690021538644ull, 3329665677652548428ull}}, +{{14218459964117880976ull, 7545592298108200306ull, + 13558448362526923305ull, 4162082097065685535ull}}, +{{13498223496001063514ull, 16245210232386094951ull, + 15391559254220408921ull, 2601301310666053459ull}}, +{{12261093351573941489ull, 6471454735200454977ull, + 14627763049348123248ull, 3251626638332566824ull}}, +{{1491308634185263149ull, 8089318419000568722ull, + 18284703811685154060ull, 4064533297915708530ull}}, +{{5543753914793177372ull, 14279196048730131259ull, + 16039625900730609191ull, 2540333311197317831ull}}, +{{2318006375064083811ull, 13237309042485276170ull, + 15437846357485873585ull, 3175416638996647289ull}}, +{{12120880005684880572ull, 2711578247824431500ull, + 5462249891575178270ull, 3969270798745809112ull}}, +{{16798922040407826166ull, 15529794460172433399ull, + 3413906182234486418ull, 2480794249216130695ull}}, +{{16386966532082394803ull, 10188871038360765941ull, + 18102440783075271735ull, 3100992811520163368ull}}, +{{6648650109820829791ull, 8124402779523569523ull, + 4181306905134538053ull, 3876241014400204211ull}}, +{{1849563309424324668ull, 7383594746415924904ull, 307473806495392331ull, + 2422650634000127632ull}} +}; + +// ********************************************************************** + +static const UINT128 breakpoints_bid32[] = { {{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{11908810229357645280ull, 469708516554766ull}}, +{{5954405114678822640ull, 234854258277383ull}}, +{{12200574594194187128ull, 117427129138691ull}}, +{{15323659333951869372ull, 58713564569345ull}}, +{{2831320374921140396ull, 293567822846729ull}}, +{{10639032224315346006ull, 146783911423364ull}}, +{{5319516112157673003ull, 73391955711682ull}}, +{{8150836487078813399ull, 366959778558411ull}}, +{{13298790280394182507ull, 183479889279205ull}}, +{{15872767177051867061ull, 91739944639602ull}}, +{{5576859590421128845ull, 458699723198014ull}}, +{{2788429795210564422ull, 229349861599007ull}}, +{{10617586934460058019ull, 114674930799503ull}}, +{{14532165504084804817ull, 57337465399751ull}}, +{{17320595299295369240ull, 286687326998758ull}}, +{{8660297649647684620ull, 143343663499379ull}}, +{{13553520861678618118ull, 71671831749689ull}}, +{{12427372087264435742ull, 358359158748448ull}}, +{{6213686043632217871ull, 179179579374224ull}}, +{{3106843021816108935ull, 89589789687112ull}}, +{{15534215109080544677ull, 447948948435560ull}}, +{{7767107554540272338ull, 223974474217780ull}}, +{{3883553777270136169ull, 111987237108890ull}}, +{{971024812641129231ull, 559936185544451ull}}, +{{9708884443175340423ull, 279968092772225ull}}, +{{14077814258442446019ull, 139984046386112ull}}, +{{7038907129221223009ull, 69992023193056ull}}, +{{16747791572396563433ull, 349960115965281ull}}, +{{17597267823053057524ull, 174980057982640ull}}, +{{8798633911526528762ull, 87490028991320ull}}, +{{7099681410213540580ull, 437450144956602ull}}, +{{3549840705106770290ull, 218725072478301ull}}, +{{10998292389408160953ull, 109362536239150ull}}, +{{18097973799621701533ull, 546812681195752ull}}, +{{9048986899810850766ull, 273406340597876ull}}, +{{4524493449905425383ull, 136703170298938ull}}, +{{2262246724952712691ull, 68351585149469ull}}, +{{11311233624763563458ull, 341757925747345ull}}, +{{14878988849236557537ull, 170878962873672ull}}, +{{7439494424618278768ull, 85439481436836ull}}, +{{303983975672290610ull, 427197407184182ull}}, +{{151991987836145305ull, 213598703592091ull}}, +{{9299368030772848460ull, 106799351796045ull}}, +{{9603352006445139071ull, 533996758980227ull}}, +{{14025048040077345343ull, 266998379490113ull}}, +{{16235896056893448479ull, 133499189745056ull}}, +{{8117948028446724239ull, 66749594872528ull}}, +{{3696251994814517967ull, 333747974362642ull}}, +{{1848125997407258983ull, 166873987181321ull}}, +{{10147435035558405299ull, 83436993590660ull}}, +{{13843687030372923267ull, 417184967953302ull}}, +{{6921843515186461633ull, 208592483976651ull}}, +{{12684293794448006624ull, 104296241988325ull}}, +{{8081236751111378276ull, 521481209941628ull}}, +{{4040618375555689138ull, 260740604970814ull}}, +{{2020309187777844569ull, 130370302485407ull}}, +{{10233526630743698092ull, 65185151242703ull}}, +{{14274145006299387230ull, 325925756213517ull}}, +{{16360444540004469423ull, 162962878106758ull}}, +{{8180222270002234711ull, 81481439053379ull}}, +{{4007623202592070326ull, 407407195266897ull}}, +{{11227183638150810971ull, 203703597633448ull}}, +{{5613591819075405485ull, 101851798816724ull}}, +{{9621215021667475812ull, 509258994083621ull}}, +{{14033979547688513714ull, 254629497041810ull}}, +{{7016989773844256857ull, 127314748520905ull}}, +{{12731866923776904236ull, 63657374260452ull}}, +{{8319102397755866334ull, 318286871302263ull}}, +{{13382923235732708975ull, 159143435651131ull}}, +{{15914833654721130295ull, 79571717825565ull}}, +{{5787191978767445014ull, 397858589127829ull}}, +{{12116968026238498315ull, 198929294563914ull}}, +{{6058484013119249157ull, 99464647281957ull}}, +{{11845675991886694171ull, 497323236409786ull}}, +{{5922837995943347085ull, 248661618204893ull}}, +{{12184791034826449350ull, 124330809102446ull}}, +{{6092395517413224675ull, 62165404551223ull}}, +{{12015233513356571761ull, 310827022756116ull}}, +{{6007616756678285880ull, 155413511378058ull}}, +{{3003808378339142940ull, 77706755689029ull}}, +{{15019041891695714701ull, 388533778445145ull}}, +{{16732892982702633158ull, 194266889222572ull}}, +{{8366446491351316579ull, 97133444611286ull}}, +{{4938744309337479665ull, 485667223056432ull}}, +{{2469372154668739832ull, 242833611528216ull}}, +{{1234686077334369916ull, 121416805764108ull}}, +{{617343038667184958ull, 60708402882054ull}}, +{{3086715193335924790ull, 303542014410270ull}}, +{{1543357596667962395ull, 151771007205135ull}}, +{{9995050835188757005ull, 75885503602567ull}}, +{{13081766028524681796ull, 379427518012837ull}}, +{{15764255051117116706ull, 189713759006418ull}}, +{{7882127525558558353ull, 94856879503209ull}}, +{{2517149480373688533ull, 474284397516047ull}}, +{{10481946777041620074ull, 237142198758023ull}}, +{{14464345425375585845ull, 118571099379011ull}}, +{{16455544749542568730ull, 59285549689505ull}}, +{{8490747452874637189ull, 296427748447529ull}}, +{{13468745763292094402ull, 148213874223764ull}}, +{{6734372881646047201ull, 74106937111882ull}}, +{{15225120334520684390ull, 370534685559411ull}}, +{{16835932204115118003ull, 185267342779705ull}}, +{{17641338138912334809ull, 92633671389852ull}}, +{{14419714399723467584ull, 463168356949264ull}}, +{{7209857199861733792ull, 231584178474632ull}}, +{{3604928599930866896ull, 115792089237316ull}}, +{{1802464299965433448ull, 57896044618658ull}}, +{{9012321499827167240ull, 289480223093290ull}}, +{{4506160749913583620ull, 144740111546645ull}}, +{{11476452411811567618ull, 72370055773322ull}}, +{{2042029837929183242ull, 361850278866613ull}}, +{{10244386955819367429ull, 180925139433306ull}}, +{{5122193477909683714ull, 90462569716653ull}}, +{{7164223315838866956ull, 452312848583266ull}}, +{{3582111657919433478ull, 226156424291633ull}}, +{{11014427865814492547ull, 113078212145816ull}}, +{{5507213932907246273ull, 56539106072908ull}}, 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109476442525376ull}}, +{{12328504753617029967ull, 547382212626881ull}}, +{{15387624413663290791ull, 273691106313440ull}}, +{{7693812206831645395ull, 136845553156720ull}}, +{{3846906103415822697ull, 68422776578360ull}}, +{{787786443369561873ull, 342113882891801ull}}, +{{9617265258539556744ull, 171056941445900ull}}, +{{4808632629269778372ull, 85528470722950ull}}, +{{5596419072639340246ull, 427642353614751ull}}, +{{12021581573174445931ull, 213821176807375ull}}, +{{15234162823441998773ull, 106910588403687ull}}, +{{2383837822371787403ull, 534552942018439ull}}, +{{10415290948040669509ull, 267276471009219ull}}, +{{14431017510875110562ull, 133638235504609ull}}, +{{16438880792292331089ull, 66819117752304ull}}, +{{8407427666623448983ull, 334095588761524ull}}, +{{4203713833311724491ull, 167047794380762ull}}, +{{2101856916655862245ull, 83523897190381ull}}, +{{10509284583279311229ull, 417619485951905ull}}, +{{14478014328494431422ull, 208809742975952ull}}, +{{7239007164247215711ull, 104404871487976ull}}, +{{17748291747526526940ull, 522024357439881ull}}, +{{18097517910618039278ull, 261012178719940ull}}, +{{9048758955309019639ull, 130506089359970ull}}, +{{4524379477654509819ull, 65253044679985ull}}, +{{4175153314562997481ull, 326265223399926ull}}, +{{2087576657281498740ull, 163132611699963ull}}, +{{10267160365495525178ull, 81566305849981ull}}, +{{14442313680058522660ull, 407831529249907ull}}, +{{16444528876884037138ull, 203915764624953ull}}, +{{17445636475296794377ull, 101957882312476ull}}, +{{13441206081645765421ull, 509789411562384ull}}, +{{6720603040822882710ull, 254894705781192ull}}, +{{3360301520411441355ull, 127447352890596ull}}, +{{1680150760205720677ull, 63723676445298ull}}, +{{8400753801028603388ull, 318618382226490ull}}, +{{4200376900514301694ull, 159309191113245ull}}, +{{11323560487111926655ull, 79654595556622ull}}, +{{1277570214430978427ull, 398272977783113ull}}, +{{9862157144070265021ull, 199136488891556ull}}, +{{4931078572035132510ull, 99568244445778ull}}, +{{6208648786466110938ull, 497841222228891ull}}, +{{12327696430087831277ull, 248920611114445ull}}, +{{15387220251898691446ull, 124460305557222ull}}, +{{7693610125949345723ull, 62230152778611ull}}, +{{1574562482327625384ull, 311150763893057ull}}, +{{10010653278018588500ull, 155575381946528ull}}, +{{5005326639009294250ull, 77787690973264ull}}, +{{6579889121336919634ull, 388938454866321ull}}, +{{12513316597523235625ull, 194469227433160ull}}, +{{6256658298761617812ull, 97234613716580ull}}, +{{12836547420098537447ull, 486173068582901ull}}, +{{15641645746904044531ull, 243086534291450ull}}, +{{7820822873452022265ull, 121543267145725ull}}, +{{13133783473580786940ull, 60771633572862ull}}, +{{10328685146775279856ull, 303858167864313ull}}, +{{14387714610242415736ull, 151929083932156ull}}, +{{7193857305121207868ull, 75964541966078ull}}, +{{17522542451896487724ull, 379822709830391ull}}, +{{17984643262803019670ull, 189911354915195ull}}, +{{18215693668256285643ull, 94955677457597ull}}, +{{17291492046443221751ull, 474778387287989ull}}, +{{17869118060076386683ull, 237389193643994ull}}, +{{8934559030038193341ull, 118694596821997ull}}, +{{13690651551873872478ull, 59347298410998ull}}, +{{13113025538240707546ull, 296736492054993ull}}, +{{15779884805975129581ull, 148368246027496ull}}, +{{7889942402987564790ull, 74184123013748ull}}, +{{2556223867518720721ull, 370920615068742ull}}, +{{1278111933759360360ull, 185460307534371ull}}, +{{9862428003734455988ull, 92730153767185ull}}, +{{12418651871253176710ull, 463650768835927ull}}, +{{15432697972481364163ull, 231825384417963ull}}, +{{16939721023095457889ull, 115912692208981ull}}, +{{17693232548402504752ull, 57956346104490ull}}, +{{14679186447174317299ull, 289781730522454ull}}, +{{7339593223587158649ull, 144890865261227ull}}, +{{12893168648648355132ull, 72445432630613ull}}, +{{9125611022113120816ull, 362227163153068ull}}, +{{4562805511056560408ull, 181113581576534ull}}, +{{2281402755528280204ull, 90556790788267ull}}, +{{11407013777641401020ull, 452783953941335ull}}, +{{14926878925675476318ull, 226391976970667ull}}, +{{16686811499692513967ull, 113195988485333ull}}, +{{17566777786701032791ull, 56597994242666ull}}, +{{14046912638666957494ull, 282989971213334ull}}, +{{7023456319333478747ull, 141494985606667ull}}, +{{12735100196521515181ull, 70747492803333ull}}, +{{8335268761478921059ull, 353737464016668ull}}, +{{4167634380739460529ull, 176868732008334ull}}, +{{2083817190369730264ull, 88434366004167ull}}, +{{10419085951848651324ull, 442171830020835ull}}, +{{14432915012779101470ull, 221085915010417ull}}, +{{16439829543244326543ull, 110542957505208ull}}, +{{8412171421383426251ull, 552714787526044ull}}, +{{4206085710691713125ull, 276357393763022ull}}, +{{2103042855345856562ull, 138178696881511ull}}, +{{10274893464527704089ull, 69089348440755ull}}, +{{14480979175219417215ull, 345446742203777ull}}, +{{16463861624464484415ull, 172723371101888ull}}, +{{8231930812232242207ull, 86361685550944ull}}, +{{4266165913742107807ull, 431808427754722ull}}, +{{2133082956871053903ull, 215904213877361ull}}, +{{10289913515290302759ull, 107952106938680ull}}, +{{14556079429032410566ull, 539760534693402ull}}, +{{7278039714516205283ull, 269880267346701ull}}, +{{12862391894112878449ull, 134940133673350ull}}, +{{6431195947056439224ull, 67470066836675ull}}, +{{13709235661572644508ull, 337350334183376ull}}, +{{6854617830786322254ull, 168675167091688ull}}, +{{3427308915393161127ull, 84337583545844ull}}, +{{17136544576965805635ull, 421687917729220ull}}, +{{8568272288482902817ull, 210843958864610ull}}, +{{4284136144241451408ull, 105421979432305ull}}, +{{2973936647497705428ull, 527109897161526ull}}, +{{1486968323748852714ull, 263554948580763ull}}, +{{9966856198729202165ull, 131777474290381ull}}, +{{14206800136219376890ull, 65888737145190ull}}, +{{15693768459968229604ull, 329443685725953ull}}, +{{17070256266838890610ull, 164721842862976ull}} +}; + +static const int exponents_bid32[] = { -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 0, + 0, + 0, + 0, + 1, + 1, + 1, + 2, + 2, + 2, + 3, + 3, + 3, + 3, + 4, + 4, + 4, + 5, + 5, + 5, + 6, + 6, + 6, + 7, + 7, + 7, + 7, + 8, + 8, + 8, + 9, + 9, + 9, + 10, + 10, + 10, + 10, + 11, + 11, + 11, + 12, + 12, + 12, + 13, + 13, + 13, + 13, + 14, + 14, + 14, + 15, + 15, + 15, + 16, + 16, + 16, + 16, + 17, + 17, + 17, + 18, + 18, + 18, + 19, + 19, + 19, + 19, + 20, + 20, + 20, + 21, + 21, + 21, + 22, + 22, + 22, + 22, + 23, + 23, + 23, + 24, + 24, + 24, + 25, + 25, + 25, + 25, + 26, + 26, + 26, + 27, + 27, + 27, + 28, + 28, + 28, + 28, + 29, + 29, + 29, + 30, + 30, + 30, + 31, + 31, + 31, + 31, + 32, + 32, + 32, + 33, + 33, + 33, + 34, + 34, + 34, + 34, + 35, + 35, + 35, + 36, + 36, + 36, + 37, + 37, + 37, + 38, + 38, + 38, + 38, + 39, + 39, + 39, + 40, + 40, + 40, + 41, + 41, + 41, + 41, + 42, + 42, + 42, + 43, + 43, + 43, + 44, + 44, + 44, + 44, + 45, + 45, + 45, + 46, + 46, + 46, + 47, + 47, + 47, + 47, + 48, + 48, + 48, + 49, + 49, + 49, + 50, + 50, + 50, + 50, + 51, + 51, + 51, + 52, + 52, + 52, + 53, + 53, + 53, + 53, + 54, + 54, + 54, + 55, + 55, + 55, + 56, + 56, + 56, + 56, + 57, + 57, + 57, + 58, + 58, + 58, + 59, + 59, + 59, + 59, + 60, + 60, + 60, + 61, + 61, + 61, + 62, + 62, + 62, + 62, + 63, + 63, + 63, + 64, + 64, + 64, + 65, + 65, + 65, + 66, + 66, + 66, + 66, + 67, + 67, + 67, + 68, + 68, + 68, + 69, + 69, + 69, + 69, + 70, + 70, + 70, + 71, + 71, + 71, + 72, + 72, + 72, + 72, + 73, + 73, + 73, + 74, + 74, + 74, + 75, + 75, + 75, + 75, + 76, + 76, + 76, + 77, + 77, + 77, + 78, + 78, + 78, + 78, + 79, + 79, + 79, + 80, + 80, + 80, + 81, + 81, + 81, + 81, + 82, + 82, + 82, + 83, + 83, + 83, + 84, + 84, + 84, + 84, + 85, + 85, + 85, + 86, + 86, + 86, + 87, + 87, + 87, + 87, + 88, + 88, + 88, + 89, + 89, + 89, + 90, + 90, + 90, + 90, + 91, + 91, + 91, + 92, + 92, + 92, + 93, + 93, + 93, + 93, + 94, + 94, + 94, + 95, + 95, + 95, + 96, + 96, + 96, + 97, + 97, + 97, + 97, + 98, + 98, + 98, + 99, + 99, + 99, + 100, + 100, + 100, + 100, + 101, + 101, + 101, + 102, + 102, + 102, + 103, + 103, + 103, + 103, + 104, + 104, + 104, + 105, + 105, + 105, + 106, + 106, + 106, + 106, + 107, + 107, + 107, + 108, + 108, + 108, + 109, + 109, + 109, + 109, + 110, + 110, + 110, + 111, + 111, + 111, + 112, + 112, + 112, + 112, + 113, + 113, + 113, + 114, + 114, + 114, + 115, + 115, + 115, + 115, + 116, + 116, + 116, + 117, + 117, + 117, + 118, + 118, + 118, + 118, + 119, + 119, + 119, + 120, + 120, + 120, + 121, + 121, + 121, + 121, + 122, + 122, + 122, + 123, + 123, + 123, + 124, + 124, + 124, + 125, + 125, + 125, + 125, + 126, + 126, + 126, + 127, + 127, + 127, + 128, + 128, + 128, + 128, + 129, + 129, + 129, + 130, + 130, + 130, + 131, + 131, + 131, + 131, + 132, + 132, + 132, + 133, + 133, + 133, + 134, + 134, + 134, + 134, + 135, + 135, + 135, + 136, + 136, + 136, + 137, + 137, + 137, + 137, + 138, + 138, + 138, + 139, + 139, + 139, + 140, + 140, + 140, + 140, + 141, + 141, + 141, + 142, + 142, + 142, + 143, + 143, + 143, + 143, + 144, + 144, + 144, + 145, + 145, + 145, + 146, + 146, + 146, + 146, + 147, + 147, + 147, + 148, + 148, + 148, + 149, + 149, + 149, + 149, + 150, + 150, + 150, + 151, + 151, + 151, + 152, + 152, + 152, + 153, + 153, + 153, + 153, + 154, + 154, + 154, + 155, + 155, + 155, + 156, + 156, + 156, + 156, + 157, + 157, + 157, + 158, + 158, + 158, + 159, + 159, + 159, + 159, + 160, + 160, + 160, + 161, + 161, + 161, + 162, + 162, + 162, + 162, + 163, + 163, + 163, + 164, + 164, + 164, + 165, + 165, + 165, + 165, + 166, + 166, + 166, + 167, + 167, + 167, + 168, + 168, + 168, + 168, + 169, + 169, + 169, + 170, + 170, + 170, + 171, + 171, + 171, + 171, + 172, + 172, + 172, + 173, + 173, + 173, + 174, + 174, + 174, + 174, + 175, + 175, + 175, + 176, + 176, + 176, + 177, + 177, + 177, + 177, + 178, + 178, + 178, + 179, + 179, + 179, + 180, + 180, + 180, + 180, + 181, + 181, + 181, + 182, + 182, + 182, + 183, + 183, + 183, + 184, + 184, + 184, + 184, + 185, + 185, + 185, + 186, + 186, + 186, + 187, + 187, + 187, + 187, + 188, + 188, + 188, + 189, + 189, + 189, + 190, + 190, + 190, + 190, + 191, + 191, +}; + +static const UINT256 multipliers1_bid32[] = { {{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{8022453891189237964ull, 4305922861044245892ull, + 15091728617112590342ull, 392727477223ull}}, +{{16044907782378475927ull, 8611845722088491784ull, + 11736713160515629068ull, 785454954447ull}}, +{{13643071491047400238ull, 17223691444176983569ull, + 5026682247321706520ull, 1570909908895ull}}, +{{8839398908385248859ull, 16000638814644415523ull, + 10053364494643413041ull, 3141819817790ull}}, +{{16525275040644691065ull, 6889476577670793427ull, + 2010672898928682608ull, 628363963558ull}}, +{{14603806007579830513ull, 13778953155341586855ull, + 4021345797857365216ull, 1256727927116ull}}, +{{10760867941450109410ull, 9111162236973622095ull, + 8042691595714730433ull, 2513455854232ull}}, +{{2152173588290021882ull, 1822232447394724419ull, + 8987235948626766733ull, 502691170846ull}}, +{{4304347176580043764ull, 3644464894789448838ull, + 17974471897253533466ull, 1005382341692ull}}, +{{8608694353160087528ull, 7288929789578897676ull, + 17502199720797515316ull, 2010764683385ull}}, +{{9100436500115838152ull, 5147134772657689858ull, + 3500439944159503063ull, 402152936677ull}}, +{{18200873000231676304ull, 10294269545315379716ull, + 7000879888319006126ull, 804305873354ull}}, +{{17955001926753800992ull, 2141795016921207817ull, + 14001759776638012253ull, 1608611746708ull}}, +{{17463259779798050368ull, 4283590033842415635ull, + 9556775479566472890ull, 3217223493417ull}}, +{{10871349585443430720ull, 8235415636252303773ull, + 9290052725397115224ull, 643444698683ull}}, +{{3295955097177309824ull, 16470831272504607547ull, + 133361377084678832ull, 1286889397367ull}}, +{{6591910194354619648ull, 14494918471299663478ull, + 266722754169357665ull, 2573778794734ull}}, +{{8697079668354744576ull, 17656378953227573988ull, + 14810739809801512825ull, 514755758946ull}}, +{{17394159336709489152ull, 16866013832745596360ull, + 11174735545893474035ull, 1029511517893ull}}, +{{16341574599709426688ull, 15285283591781641105ull, + 3902727018077396455ull, 2059023035787ull}}, +{{10647012549425705984ull, 10435754347840148867ull, + 8159243033099299937ull, 411804607157ull}}, +{{2847281025141860352ull, 2424764621970746119ull, + 16318486066198599875ull, 823609214314ull}}, +{{5694562050283720704ull, 4849529243941492238ull, + 14190228058687648134ull, 1647218428629ull}}, +{{4828261224798654464ull, 12037952293014029417ull, + 17595440870705170919ull, 329443685725ull}}, +{{9656522449597308928ull, 5629160512318507218ull, + 16744137667700790223ull, 658887371451ull}}, +{{866300825485066240ull, 11258321024637014437ull, + 15041531261692028830ull, 1317774742903ull}}, +{{1732601650970132480ull, 4069897975564477258ull, + 11636318449674506045ull, 2635549485807ull}}, +{{346520330194026496ull, 8192677224596716098ull, 9705961319418721855ull, + 527109897161ull}}, +{{693040660388052992ull, 16385354449193432196ull, 965178565127892094ull, + 1054219794323ull}}, +{{1386081320776105984ull, 14323964824677312776ull, + 1930357130255784189ull, 2108439588646ull}}, +{{3966565078897131520ull, 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+{{12539004110472395632ull, 13660690458741524766ull, + 1985014202847840298ull, 2546294970418ull}}, +{{9886498451578299773ull, 6421486906490215276ull, + 11465049284795299029ull, 509258994083ull}}, +{{1326252829447047930ull, 12842973812980430553ull, + 4483354495881046442ull, 1018517988167ull}}, +{{2652505658894095859ull, 7239203552251309490ull, + 8966708991762092885ull, 2037035976334ull}}, +{{15287896390746460465ull, 16205235969417903190ull, + 16550737057320059869ull, 407407195266ull}}, +{{12129048707783369314ull, 13963727865126254765ull, + 14654730040930568123ull, 814814390533ull}}, +{{5811353341857187011ull, 9480711656542957915ull, + 10862716008151584631ull, 1629628781067ull}}, +{{11622706683714374021ull, 514679239376364214ull, + 3278687942593617647ull, 3259257562135ull}}, +{{6013890151484785128ull, 7481633477359093489ull, 655737588518723529ull, + 651851512427ull}}, +{{12027780302969570255ull, 14963266954718186978ull, + 1311475177037447058ull, 1303703024854ull}}, +{{5608816532229588893ull, 11479789835726822341ull, + 2622950354074894117ull, 2607406049708ull}}, +{{4811112121187828102ull, 2295957967145364468ull, + 11592636515040709793ull, 521481209941ull}}, +{{9622224242375656204ull, 4591915934290728936ull, + 4738528956371867970ull, 1042962419883ull}}, +{{797704411041760792ull, 9183831868581457873ull, 9477057912743735940ull, + 2085924839766ull}}, +{{14916936141175993452ull, 5526115188458201897ull, + 5584760397290657511ull, 417184967953ull}}, +{{11387128208642435287ull, 11052230376916403795ull, + 11169520794581315022ull, 834369935906ull}}, +{{4327512343575318957ull, 3657716680123255975ull, + 3892297515453078429ull, 1668739871813ull}}, +{{8244200098198884438ull, 8110240965508471841ull, + 11846505947316346655ull, 333747974362ull}}, +{{16488400196397768876ull, 16220481931016943682ull, + 5246267820923141694ull, 667495948725ull}}, +{{14530056319085986135ull, 13994219788324335749ull, + 10492535641846283389ull, 1334991897450ull}}, +{{10613368564462420654ull, 9541695502939119883ull, + 2538327209983015163ull, 2669983794901ull}}, +{{9501371342376304778ull, 16665734359555465269ull, + 4197014256738513355ull, 533996758980ull}}, +{{555998611043057939ull, 14884724645401378923ull, + 8394028513477026711ull, 1067993517960ull}}, +{{1111997222086115877ull, 11322705217093206230ull, + 16788057026954053423ull, 2135987035920ull}}, +{{11290445888642954145ull, 13332587487644372215ull, + 3357611405390810684ull, 427197407184ull}}, +{{4134147703576356674ull, 8218430901579192815ull, + 6715222810781621369ull, 854394814368ull}}, +{{8268295407152713348ull, 16436861803158385630ull, + 13430445621563242738ull, 1708789628736ull}}, +{{16411054340398183963ull, 18044767619599318418ull, + 6375437939054558870ull, 341757925747ull}}, +{{14375364607086816309ull, 17642791165489085221ull, + 12750875878109117741ull, 683515851494ull}}, +{{10303985140464081001ull, 16838838257268618827ull, + 7055007682508683867ull, 1367031702989ull}}, +{{2161226207218610386ull, 15230932440827686039ull, + 14110015365017367735ull, 2734063405978ull}}, +{{7810942870927542724ull, 14114232932391268177ull, + 13890049517229204516ull, 546812681195ull}}, +{{15621885741855085448ull, 9781721791072984738ull, + 9333354960748857417ull, 1093625362391ull}}, +{{12797027410000619279ull, 1116699508436417861ull, + 219965847788163219ull, 2187250724783ull}}, +{{13627451926225854826ull, 7602037531171104218ull, + 11112039613783363613ull, 437450144956ull}}, +{{8808159778742158035ull, 15204075062342208437ull, + 3777335153857175610ull, 874900289913ull}}, +{{17616319557484316070ull, 11961406050974865258ull, + 7554670307714351221ull, 1749800579826ull}}, +{{3523263911496863214ull, 9770978839678793698ull, + 5200282876284780567ull, 349960115965ull}}, +{{7046527822993726428ull, 1095213605648035780ull, + 10400565752569561135ull, 699920231930ull}}, +{{14093055645987452856ull, 2190427211296071560ull, + 2354387431429570654ull, 1399840463861ull}}, +{{9739367218265354095ull, 4380854422592143121ull, + 4708774862859141308ull, 2799680927722ull}}, +{{5637222258394981143ull, 876170884518428624ull, 8320452602055648908ull, + 559936185544ull}}, +{{11274444516789962285ull, 1752341769036857248ull, + 16640905204111297816ull, 1119872371088ull}} +}; + +static const UINT256 multipliers2_bid32[] = + { {{7156996302188685206ull, 14694123111064470433ull, + 3521238664523520994ull, 11704ull}}, +{{14313992604377370412ull, 10941502148419389250ull, + 7042477329047041989ull, 23408ull}}, +{{10181241135045189207ull, 3436260223129226885ull, + 14084954658094083979ull, 46816ull}}, +{{1915738196380826798ull, 6872520446258453771ull, + 9723165242478616342ull, 93633ull}}, +{{3831476392761653595ull, 13745040892516907542ull, + 999586411247681068ull, 187267ull}}, +{{7662952785523307189ull, 9043337711324263468ull, + 1999172822495362137ull, 374534ull}}, +{{15325905571046614378ull, 18086675422648526936ull, + 3998345644990724274ull, 749068ull}}, +{{12205067068383677139ull, 17726606771587502257ull, + 7996691289981448549ull, 1498136ull}}, +{{5963390063057802661ull, 17006469469465452899ull, + 15993382579962897099ull, 2996272ull}}, +{{11926780126115605321ull, 15566194865221354182ull, + 13540021086216242583ull, 5992545ull}}, +{{5406816178521659026ull, 12685645656733156749ull, + 8633298098722933551ull, 11985091ull}}, +{{10813632357043318052ull, 6924547239756761882ull, + 17266596197445867103ull, 23970182ull}}, +{{3180520640377084488ull, 13849094479513523765ull, + 16086448321182182590ull, 47940365ull}}, +{{6361041280754168975ull, 9251444885317495914ull, + 13726152568654813565ull, 95880731ull}}, +{{12722082561508337950ull, 56145696925440212ull, 9005561063600075515ull, + 191761463ull}}, +{{6997421049307124283ull, 112291393850880425ull, + 18011122127200151030ull, 383522926ull}}, +{{13994842098614248565ull, 224582787701760850ull, + 17575500180690750444ull, 767045853ull}}, +{{9542940123518945513ull, 449165575403521701ull, + 16704256287671949272ull, 1534091707ull}}, +{{639136173328339410ull, 898331150807043403ull, 14961768501634346928ull, + 3068183415ull}}, +{{1278272346656678820ull, 1796662301614086806ull, + 11476792929559142240ull, 6136366831ull}}, +{{2556544693313357639ull, 3593324603228173612ull, + 4506841785408732864ull, 12272733663ull}}, +{{5113089386626715277ull, 7186649206456347224ull, + 9013683570817465728ull, 24545467326ull}}, +{{10226178773253430554ull, 14373298412912694448ull, + 18027367141634931456ull, 49090934652ull}}, +{{2005613472797309491ull, 10299852752115837281ull, + 17607990209560311297ull, 98181869305ull}}, +{{4011226945594618982ull, 2152961430522122946ull, + 16769236345411070979ull, 196363738611ull}}, +{{4491594203860834120ull, 430592286104424589ull, 7043196083824124519ull, + 39272747722ull}}, +{{8983188407721668240ull, 861184572208849178ull, + 14086392167648249038ull, 78545495444ull}}, +{{17966376815443336479ull, 1722369144417698356ull, + 9726040261586946460ull, 157090990889ull}}, +{{17486009557177121341ull, 3444738288835396713ull, + 1005336449464341304ull, 314181981779ull}}, +{{7186550726177334592ull, 11756994101992810312ull, + 14958462548860509553ull, 62836396355ull}}, +{{14373101452354669183ull, 5067244130276069008ull, + 11470181024011467491ull, 125672792711ull}}, +{{10299458830999786749ull, 10134488260552138017ull, + 4493617974313383366ull, 251345585423ull}}, +{{5749240580941867673ull, 16784292911078068896ull, + 11966770039088407642ull, 50269117084ull}}, +{{11498481161883735346ull, 15121841748446586176ull, + 5486796004467263669ull, 100538234169ull}}, +{{4550218250057919076ull, 11796939423183620737ull, + 10973592008934527339ull, 201076468338ull}}, +{{15667438908979225108ull, 9738085514120544793ull, + 13262764846012636437ull, 40215293667ull}}, +{{12888133744248898600ull, 1029426954531537971ull, + 8078785618315721259ull, 80430587335ull}}, +{{7329523414788245584ull, 2058853909063075943ull, + 16157571236631442518ull, 160861174670ull}}, +{{14659046829576491168ull, 4117707818126151886ull, + 13868398399553333420ull, 321722349341ull}}, +{{10310506995399118880ull, 4512890378367140700ull, + 6463028494652577007ull, 64344469868ull}}, +{{2174269917088686144ull, 9025780756734281401ull, + 12926056989305154014ull, 128688939736ull}}, +{{4348539834177372288ull, 18051561513468562802ull, + 7405369904900756412ull, 257377879473ull}}, +{{8248405596319295104ull, 3610312302693712560ull, + 12549120425205882252ull, 51475575894ull}}, +{{16496811192638590208ull, 7220624605387425120ull, + 6651496776702212888ull, 102951151789ull}}, +{{14546878311567628800ull, 14441249210774850241ull, + 13302993553404425776ull, 205902303578ull}}, +{{2909375662313525760ull, 17645645101122611341ull, + 13728645154906616124ull, 41180460715ull}}, +{{5818751324627051520ull, 16844546128535671066ull, + 9010546236103680633ull, 82360921431ull}}, +{{11637502649254103040ull, 15242348183361790516ull, + 18021092472207361267ull, 164721842862ull}}, +{{2327500529850820608ull, 17805864895639999396ull, + 10982916123925292899ull, 32944368572ull}}, +{{4655001059701641216ull, 17164985717570447176ull, + 3519088174141034183ull, 65888737145ull}}, +{{9310002119403282432ull, 15883227361431342736ull, + 7038176348282068367ull, 131777474290ull}}, +{{173260165097013248ull, 13319710649153133857ull, + 14076352696564136735ull, 263554948580ull}}, +{{7413349662503223296ull, 2663942129830626771ull, + 2815270539312827347ull, 52710989716ull}}, +{{14826699325006446592ull, 5327884259661253542ull, + 5630541078625654694ull, 105421979432ull}}, +{{11206654576303341568ull, 10655768519322507085ull, + 11261082157251309388ull, 210843958864ull}}, +{{9620028544744488960ull, 9509851333348322063ull, + 17009611690417903170ull, 42168791772ull}}, +{{793313015779426304ull, 572958592987092511ull, 15572479307126254725ull, + 84337583545ull}}, +{{1586626031558852608ull, 1145917185974185022ull, + 12698214540542957834ull, 168675167091ull}}, +{{7696022835795591168ull, 229183437194837004ull, 6228991722850501890ull, + 33735033418ull}}, +{{15392045671591182336ull, 458366874389674008ull, + 12457983445701003780ull, 67470066836ull}}, +{{12337347269472813056ull, 916733748779348017ull, + 6469222817692455944ull, 134940133673ull}}, +{{6227950465236074496ull, 1833467497558696035ull, + 12938445635384911888ull, 269880267346ull}}, +{{16002985352014856192ull, 15124088758479380499ull, + 6277037941818892700ull, 53976053469ull}}, +{{13559226630320160768ull, 11801433443249209383ull, + 12554075883637785401ull, 107952106938ull}}, +{{8671709186930769920ull, 5156122812788867151ull, + 6661407693566019187ull, 215904213877ull}}, +{{1734341837386153984ull, 15788619821525414723ull, + 8710979168197024483ull, 43180842775ull}}, +{{3468683674772307968ull, 13130495569341277830ull, + 17421958336394048967ull, 86361685550ull}}, +{{6937367349544615936ull, 7814247064973004044ull, + 16397172599078546319ull, 172723371101ull}}, +{{16144868728876564480ull, 1562849412994600808ull, + 6968783334557619587ull, 34544674220ull}}, +{{13842993384043577344ull, 3125698825989201617ull, + 13937566669115239174ull, 69089348440ull}}, +{{9239242694377603072ull, 6251397651978403235ull, + 9428389264520926732ull, 138178696881ull}}, +{{31741315045654528ull, 12502795303956806471ull, 410034455332301848ull, + 276357393763ull}}, +{{7385045892492951552ull, 6189907875533271617ull, + 11150053335292191339ull, 55271478752ull}}, +{{14770091784985903104ull, 12379815751066543234ull, + 3853362596874831062ull, 110542957505ull}}, +{{11093439496262254592ull, 6312887428423534853ull, + 7706725193749662125ull, 221085915010ull}}, +{{13286734343478181888ull, 1262577485684706970ull, + 1541345038749932425ull, 44217183002ull}}, +{{8126724613246812160ull, 2525154971369413941ull, + 3082690077499864850ull, 88434366004ull}}, +{{16253449226493624320ull, 5050309942738827882ull, + 6165380154999729700ull, 176868732008ull}}, +{{3250689845298724864ull, 12078108432773496546ull, + 12301122475225676909ull, 35373746401ull}}, +{{6501379690597449728ull, 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11320747285832603495ull, 72445432630ull}}, +{{17299322326264840192ull, 8889095178479228297ull, + 4194750497955655375ull, 144890865261ull}}, +{{16151900578820128768ull, 17778190356958456595ull, + 8389500995911310750ull, 289781730522ull}}, +{{10609077745247846400ull, 10934335700875511965ull, + 9056597828666082796ull, 57956346104ull}}, +{{2771411416786141184ull, 3421927328041472315ull, + 18113195657332165593ull, 115912692208ull}}, +{{5542822833572282368ull, 6843854656082944630ull, + 17779647240954779570ull, 231825384417ull}}, +{{8487262196198277120ull, 8747468560700409572ull, + 10934627077674776560ull, 46365076883ull}}, +{{16974524392396554240ull, 17494937121400819144ull, + 3422510081640001504ull, 92730153767ull}}, +{{15502304711083556864ull, 16543130169092086673ull, + 6845020163280003009ull, 185460307534ull}}, +{{6789809756958621696ull, 14376672478044148304ull, + 16126399291623641894ull, 37092061506ull}}, +{{13579619513917243392ull, 10306600882378744992ull, + 13806054509537732173ull, 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+{{9824761052003254321ull, 2592837755106864510ull, + 12978294610448558484ull, 65185151242ull}}, +{{1202778030296957026ull, 5185675510213729021ull, + 7509845147187565352ull, 130370302485ull}}, +{{2405556060593914051ull, 10371351020427458042ull, + 15019690294375130704ull, 260740604970ull}}, +{{4170460026860693134ull, 16831665463053132901ull, + 3003938058875026140ull, 52148120994ull}}, +{{8340920053721386267ull, 15216586852396714186ull, + 6007876117750052281ull, 104296241988ull}}, +{{16681840107442772534ull, 11986429631083876756ull, + 12015752235500104563ull, 208592483976ull}}, +{{3336368021488554507ull, 17154681185184416644ull, + 6092499261841931235ull, 41718496795ull}}, +{{6672736042977109014ull, 15862618296659281672ull, + 12184998523683862471ull, 83436993590ull}}, +{{13345472085954218027ull, 13278492519609011728ull, + 5923252973658173327ull, 166873987181ull}}, +{{6358443231932753929ull, 13723744948147533315ull, + 4873999409473544988ull, 33374797436ull}}, +{{12716886463865507858ull, 9000745822585515014ull, + 9747998818947089977ull, 66749594872ull}}, +{{6987028854021464099ull, 18001491645171030029ull, + 1049253564184628338ull, 133499189745ull}}, +{{13974057708042928197ull, 17556239216632508442ull, + 2098507128369256677ull, 266998379490ull}}, +{{17552206800576226933ull, 10889945472810322334ull, + 419701425673851335ull, 53399675898ull}}, +{{16657669527442902249ull, 3333146871911093053ull, + 839402851347702671ull, 106799351796ull}}, +{{14868594981176252881ull, 6666293743822186107ull, + 1678805702695405342ull, 213598703592ull}}, +{{6663067810977160900ull, 16090654007732078514ull, + 7714458770022901714ull, 42719740718ull}}, +{{13326135621954321799ull, 13734563941754605412ull, + 15428917540045803429ull, 85439481436ull}}, +{{8205527170199091982ull, 9022383809799659209ull, + 12411091006382055243ull, 170878962873ull}}, +{{1641105434039818397ull, 5493825576701842165ull, + 13550264645502142018ull, 34175792574ull}}, +{{3282210868079636793ull, 10987651153403684330ull, + 8653785217294732420ull, 68351585149ull}}, +{{6564421736159273585ull, 3528558233097817044ull, + 17307570434589464841ull, 136703170298ull}}, +{{13128843472318547170ull, 7057116466195634088ull, + 16168396795469378066ull, 273406340597ull}}, +{{6315117509205619758ull, 12479469737464857787ull, + 10612376988577696259ull, 54681268119ull}}, +{{12630235018411239515ull, 6512195401220163958ull, + 2778009903445840903ull, 109362536239ull}}, +{{6813725963112927413ull, 13024390802440327917ull, + 5556019806891681806ull, 218725072478ull}}, +{{5052094007364495806ull, 17362273419455706876ull, + 12179250405604067330ull, 43745014495ull}}, +{{10104188014728991612ull, 16277802765201862136ull, + 5911756737498583045ull, 87490028991ull}}, +{{1761631955748431607ull, 14108861456694172657ull, + 11823513474997166091ull, 174980057982ull}}, +{{352326391149686322ull, 13889818735564565501ull, + 9743400324483253864ull, 34996011596ull}}, +{{704652782299372643ull, 9332893397419579386ull, 1040056575256956113ull, + 69992023193ull}}, +{{1409305564598745286ull, 219042721129607156ull, 2080113150513912227ull, + 139984046386ull}}, +{{2818611129197490572ull, 438085442259214312ull, 4160226301027824454ull, + 279968092772ull}}, +{{11631768670065229084ull, 3776965903193753185ull, + 8210742889689385537ull, 55993618554ull}}, +{{4816793266420906552ull, 7553931806387506371ull, + 16421485779378771074ull, 111987237108ull}} +}; + +static const UINT128 coefflimits_bid32[] = { {{10000000ull, 0ull}}, +{{2000000ull, 0ull}}, +{{400000ull, 0ull}}, +{{80000ull, 0ull}}, +{{16000ull, 0ull}}, +{{3200ull, 0ull}}, +{{640ull, 0ull}}, +{{128ull, 0ull}}, +{{25ull, 0ull}}, +{{5ull, 0ull}}, +{{1ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}} +}; + +// ********************************************************************** + +static const UINT128 breakpoints_bid64[] = { {{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{632147898099709952ull, 73239311802481213ull}}, +{{9539445985904630784ull, 36619655901240606ull}}, +{{4769722992952315392ull, 18309827950620303ull}}, +{{5401870891052025344ull, 91549139753101516ull}}, +{{2700935445526012672ull, 45774569876550758ull}}, +{{1350467722763006208ull, 22887284938275379ull}}, +{{6752338613815031552ull, 114436424691376895ull}}, +{{12599541343762291456ull, 57218212345688447ull}}, +{{15523142708735921408ull, 28609106172844223ull}}, +{{3828737248841401600ull, 143045530864221119ull}}, +{{11137740661275476480ull, 71522765432110559ull}}, +{{14792242367492514048ull, 35761382716055279ull}}, +{{16619493220601032704ull, 17880691358027639ull}}, +{{9310489808166957824ull, 89403456790138199ull}}, +{{13878616940938254592ull, 44701728395069099ull}}, +{{16162680507323902976ull, 22350864197534549ull}}, +{{7026426241781309440ull, 111754320987672749ull}}, +{{12736585157745430528ull, 55877160493836374ull}}, +{{6368292578872715264ull, 27938580246918187ull}}, +{{13394718820654024704ull, 139692901234590936ull}}, +{{6697359410327012352ull, 69846450617295468ull}}, +{{3348679705163506176ull, 34923225308647734ull}}, +{{1674339852581753088ull, 17461612654323867ull}}, +{{8371699262908765440ull, 87308063271619335ull}}, +{{13409221668309158400ull, 43654031635809667ull}}, +{{15927982871009355008ull, 21827015817904833ull}}, +{{5852938060208568832ull, 109135079089524169ull}}, +{{12149841066959060224ull, 54567539544762084ull}}, +{{6074920533479529984ull, 27283769772381042ull}}, +{{11927858593688099072ull, 136418848861905211ull}}, +{{15187301333698825216ull, 68209424430952605ull}}, +{{16817022703704188416ull, 34104712215476302ull}}, +{{8408511351852094208ull, 17052356107738151ull}}, +{{5149068611841367808ull, 85261780538690757ull}}, +{{11797906342775459584ull, 42630890269345378ull}}, +{{5898953171387729664ull, 21315445134672689ull}}, +{{11048021783229097728ull, 106577225673363446ull}}, +{{5524010891614548736ull, 53288612836681723ull}}, +{{11985377482662050048ull, 26644306418340861ull}}, +{{4586655192181596416ull, 133221532091704308ull}}, +{{2293327596090798080ull, 66610766045852154ull}}, +{{1146663798045399040ull, 33305383022926077ull}}, +{{9796703935877475328ull, 16652691511463038ull}}, +{{12090031531968273664ull, 83263457557315192ull}}, +{{6045015765984136704ull, 41631728778657596ull}}, +{{3022507882992068352ull, 20815864389328798ull}}, +{{15112539414960342016ull, 104079321946643990ull}}, +{{7556269707480171008ull, 52039660973321995ull}}, +{{13001506890594861312ull, 26019830486660997ull}}, +{{9667302231845651712ull, 130099152433304988ull}}, +{{4833651115922825728ull, 65049576216652494ull}}, +{{2416825557961412864ull, 32524788108326247ull}}, +{{10431784815835482112ull, 16262394054163123ull}}, +{{15265435931758308096ull, 81311970270815617ull}}, +{{16856090002733929728ull, 40655985135407808ull}}, +{{8428045001366964736ull, 20327992567703904ull}}, +{{5246736859415721472ull, 101639962838519522ull}}, +{{2623368429707860736ull, 50819981419259761ull}}, +{{10535056251708706048ull, 25409990709629880ull}}, +{{15781793111124427520ull, 127049953548149402ull}}, +{{7890896555562213632ull, 63524976774074701ull}}, +{{13168820314635882496ull, 31762488387037350ull}}, +{{6584410157317941248ull, 15881244193518675ull}}, +{{14475306712880155136ull, 79406220967593376ull}}, +{{7237653356440077568ull, 39703110483796688ull}}, +{{3618826678220038656ull, 19851555241898344ull}}, +{{18094133391100194048ull, 99257776209491720ull}}, +{{9047066695550096896ull, 49628888104745860ull}}, +{{4523533347775048448ull, 24814444052372930ull}}, +{{4170922665165690880ull, 124072220261864651ull}}, +{{11308833369437621248ull, 62036110130932325ull}}, +{{14877788721573586432ull, 31018055065466162ull}}, +{{7438894360786793216ull, 15509027532733081ull}}, +{{300983656514862848ull, 77545137663665407ull}}, +{{9373863865112207104ull, 38772568831832703ull}}, +{{13910303969410879232ull, 19386284415916351ull}}, +{{14211287625925742080ull, 96931422079581758ull}}, +{{7105643812962871040ull, 48465711039790879ull}}, +{{12776193943336211200ull, 24232855519895439ull}}, +{{8540737495552401920ull, 121164277599477198ull}}, +{{4270368747776200960ull, 60582138799738599ull}}, +{{11358556410742876160ull, 30291069399869299ull}}, +{{14902650242226213888ull, 15145534699934649ull}}, +{{726274916292863232ull, 75727673499673249ull}}, +{{9586509495001207296ull, 37863836749836624ull}}, +{{4793254747500603648ull, 18931918374918312ull}}, +{{5519529663793467136ull, 94659591874591561ull}}, +{{11983136868751509248ull, 47329795937295780ull}}, +{{5991568434375754496ull, 23664897968647890ull}}, +{{11511098098169221632ull, 118324489843239451ull}}, +{{14978921085939386624ull, 59162244921619725ull}}, +{{16712832579824468992ull, 29581122460809862ull}}, +{{8356416289912234496ull, 14790561230404931ull}}, +{{4888593302142069504ull, 73952806152024657ull}}, +{{11667668687925810432ull, 36976403076012328ull}}, +{{5833834343962905088ull, 18488201538006164ull}}, +{{10722427646104974848ull, 92441007690030821ull}}, +{{14584585859907263232ull, 46220503845015410ull}}, +{{7292292929953631488ull, 23110251922507705ull}}, +{{18014720576058606592ull, 115551259612538526ull}}, +{{9007360288029303296ull, 57775629806269263ull}}, +{{13727052180869427456ull, 28887814903134631ull}}, +{{16086898127289489408ull, 14443907451567315ull}}, +{{6647514341609241088ull, 72219537257836579ull}}, +{{12547129207659396352ull, 36109768628918289ull}}, +{{15496936640684473856ull, 18054884314459144ull}}, +{{3697706908584163584ull, 90274421572295724ull}}, +{{1848853454292081664ull, 45137210786147862ull}}, +{{924426727146040832ull, 22568605393073931ull}}, +{{4622133635730204416ull, 112843026965369655ull}}, +{{11534438854719877888ull, 56421513482684827ull}}, +{{14990591464214714624ull, 28210756741342413ull}}, +{{1165981026235367680ull, 141053783706712069ull}}, +{{9806362549972459520ull, 70526891853356034ull}}, +{{4903181274986229760ull, 35263445926678017ull}}, +{{11674962674347890688ull, 17631722963339008ull}}, +{{3034581150610798848ull, 88158614816695043ull}}, +{{10740662612160175104ull, 44079307408347521ull}}, +{{14593703342934863360ull, 22039653704173760ull}}, +{{17628284493545662208ull, 110198268520868803ull}}, +{{18037514283627606784ull, 55099134260434401ull}}, +{{18242129178668579072ull, 27549567130217200ull}}, +{{17423669598504689920ull, 137747835651086004ull}}, +{{8711834799252344832ull, 68873917825543002ull}}, +{{4355917399626172416ull, 34436958912771501ull}}, +{{11401330736667862016ull, 17218479456385750ull}}, +{{1666421462210655232ull, 86092397281928753ull}}, +{{10056582767960103424ull, 43046198640964376ull}}, +{{5028291383980051712ull, 21523099320482188ull}}, +{{6694712846190706944ull, 107615496602410941ull}}, +{{12570728459950129152ull, 53807748301205470ull}}, +{{6285364229975064576ull, 26903874150602735ull}}, +{{12980077076165771776ull, 134519370753013676ull}}, +{{6490038538082885888ull, 67259685376506838ull}}, +{{3245019269041442816ull, 33629842688253419ull}}, +{{10845881671375497216ull, 16814921344126709ull}}, +{{17335920209458383104ull, 84074606720633547ull}}, +{{17891332141583967232ull, 42037303360316773ull}}, +{{18169038107646759424ull, 21018651680158386ull}}, +{{17058214243395590912ull, 105093258400791934ull}}, +{{8529107121697795328ull, 52546629200395967ull}}, +{{13487925597703673344ull, 26273314600197983ull}}, +{{12099395767389712896ull, 131366573000989918ull}}, +{{6049697883694856448ull, 65683286500494959ull}}, +{{12248220978702203904ull, 32841643250247479ull}}, +{{15347482526205877760ull, 16420821625123739ull}}, +{{2950436336191182592ull, 82104108125618699ull}}, +{{10698590204950366976ull, 41052054062809349ull}}, +{{14572667139329959168ull, 20526027031404674ull}}, +{{17523103475521142016ull, 102630135157023373ull}}, +{{17984923774615346688ull, 51315067578511686ull}}, +{{8992461887307673344ull, 25657533789255843ull}}, +{{8068821289119264000ull, 128287668946279217ull}}, +{{13257782681414407680ull, 64143834473139608ull}}, +{{6628891340707203840ull, 32071917236569804ull}}, +{{3314445670353601792ull, 16035958618284902ull}}, +{{16572228351768009728ull, 80179793091424510ull}}, +{{8286114175884004864ull, 40089896545712255ull}}, +{{13366429124796778240ull, 20044948272856127ull}}, +{{11491913402855236352ull, 100224741364280638ull}}, +{{5745956701427618048ull, 50112370682140319ull}}, +{{12096350387568584704ull, 25056185341070159ull}}, +{{5141519716714269696ull, 125280926705350798ull}}, +{{2570759858357134848ull, 62640463352675399ull}}, +{{10508751966033343232ull, 31320231676337699ull}}, +{{14477748019871447296ull, 15660115838168849ull}}, +{{17048507878228582144ull, 78300579190844248ull}}, +{{8524253939114290944ull, 39150289595422124ull}}, +{{4262126969557145344ull, 19575144797711062ull}}, +{{2863890774076176128ull, 97875723988555311ull}}, +{{10655317423892863744ull, 48937861994277655ull}}, +{{14551030748801207552ull, 24468930997138827ull}}, +{{17414921522877383936ull, 122344654985694138ull}}, +{{8707460761438691840ull, 61172327492847069ull}}, +{{13577102417574121728ull, 30586163746423534ull}}, +{{6788551208787060736ull, 15293081873211767ull}}, +{{15496011970225752832ull, 76465409366058836ull}}, +{{7748005985112876288ull, 38232704683029418ull}}, +{{3874002992556438016ull, 19116352341514709ull}}, +{{923270889072639488ull, 95581761707573546ull}}, +{{461635444536319744ull, 47790880853786773ull}}, +{{9454189759122935552ull, 23895440426893386ull}}, +{{10377460648195575040ull, 119477202134466932ull}}, 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+{{3304665369756940032ull, 60898292596395246ull}}, +{{1652332684878469888ull, 30449146298197623ull}}, +{{10049538379294010624ull, 15224573149098811ull}}, +{{13354203749050950912ull, 76122865745494057ull}}, +{{15900473911380251136ull, 38061432872747028ull}}, +{{7950236955690125568ull, 19030716436373514ull}}, +{{2857696631031525120ull, 95153582181867572ull}}, +{{1428848315515762432ull, 47576791090933786ull}}, +{{714424157757881088ull, 23788395545466893ull}}, +{{3572120788789406464ull, 118941977727334465ull}}, +{{11009432431249478912ull, 59470988863667232ull}}, +{{5504716215624739328ull, 29735494431833616ull}}, +{{2752358107812369664ull, 14867747215916808ull}}, +{{13761790539061848832ull, 74338736079584040ull}}, +{{6880895269530924288ull, 37169368039792020ull}}, +{{3440447634765462016ull, 18584684019896010ull}}, +{{17202238173827310848ull, 92923420099480050ull}}, +{{8601119086913655296ull, 46461710049740025ull}}, +{{13523931580311603456ull, 23230855024870012ull}}, +{{12279425680429362944ull, 116154275124350063ull}}, +{{15363084877069457152ull, 58077137562175031ull}}, +{{16904914475389504256ull, 29038568781087515ull}}, +{{17675829274549527808ull, 14519284390543757ull}}, +{{14592170077909433600ull, 72596421952718789ull}}, +{{16519457075809492480ull, 36298210976359394ull}}, +{{8259728537904746240ull, 18149105488179697ull}}, +{{4405154542104628224ull, 90745527440898487ull}}, +{{11425949307907089920ull, 45372763720449243ull}}, +{{14936346690808320768ull, 22686381860224621ull}}, +{{894757159203397632ull, 113431909301123109ull}}, +{{9670750616456474624ull, 56715954650561554ull}}, +{{4835375308228237312ull, 28357977325280777ull}}, +{{5730132467431634944ull, 141789886626403886ull}}, +{{2865066233715817472ull, 70894943313201943ull}}, +{{10655905153712684544ull, 35447471656600971ull}}, +{{14551324613711118080ull, 17723735828300485ull}}, +{{17416390847426935552ull, 88618679141502428ull}}, +{{8708195423713467648ull, 44309339570751214ull}}, +{{4354097711856733696ull, 22154669785375607ull}}, +{{3323744485574117632ull, 110773348926878036ull}}, +{{1661872242787058688ull, 55386674463439018ull}}, +{{830936121393529344ull, 27693337231719509ull}}, +{{4154680606967647232ull, 138466686158597545ull}}, +{{11300712340338599424ull, 69233343079298772ull}} +}; + +static const int exponents_bid64[] = { -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + -1, + 0, + 0, + 0, + 1, + 1, + 1, + 2, + 2, + 2, + 3, + 3, + 3, + 3, + 4, + 4, + 4, + 5, + 5, + 5, + 6, + 6, + 6, + 6, + 7, + 7, + 7, + 8, + 8, + 8, + 9, + 9, + 9, + 9, + 10, + 10, + 10, + 11, + 11, + 11, + 12, + 12, + 12, + 12, + 13, + 13, + 13, + 14, + 14, + 14, + 15, + 15, + 15, + 15, + 16, + 16, + 16, + 17, + 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287, + 287, + 288, + 288, + 288, + 288, + 289, + 289, + 289, + 290, + 290, + 290, + 291, + 291, + 291, + 291, + 292, + 292, + 292, + 293, + 293, + 293, + 294, + 294, + 294, + 295, + 295, + 295, + 295, + 296, + 296, + 296, + 297, + 297, + 297, + 298, + 298, + 298, + 298, + 299, + 299, + 299, + 300, + 300, + 300, + 301, + 301, + 301, + 301, + 302, + 302, + 302, + 303, + 303, + 303, + 304, + 304, + 304, + 304, + 305, + 305, + 305, + 306, + 306, + 306, + 307, + 307, + 307, + 307, + 308, + 308, + 308, + 309, + 309, + 309, + 310, + 310, + 310, + 310, + 311, + 311, + 311, + 312, + 312, + 312, + 313, + 313, + 313, + 313, + 314, + 314, + 314, + 315, + 315, + 315, + 316, + 316, + 316, + 316, + 317, + 317, + 317, + 318, + 318, + 318, + 319, + 319, + 319, + 319, + 320, + 320, + 320, + 321, + 321, + 321, + 322, + 322, + 322, + 322, + 323, + 323, + 323, + 324, + 324, + 324, + 325, + 325, + 325, + 326, + 326, + 326, + 326, + 327, + 327, + 327, + 328, + 328, + 328, + 329, + 329, + 329, + 329, + 330, + 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674, + 675, + 675, + 675, + 676, + 676, + 676, + 677, + 677, + 677, + 677, + 678, + 678, + 678, + 679, + 679, + 679, + 680, + 680, + 680, + 680, + 681, + 681, + 681, + 682, + 682, + 682, + 683, + 683, + 683, + 683, + 684, + 684, + 684, + 685, + 685, + 685, + 686, + 686, + 686, + 686, + 687, + 687, + 687, + 688, + 688, + 688, + 689, + 689, + 689, + 689, + 690, + 690, + 690, + 691, + 691, + 691, + 692, + 692, + 692, + 692, + 693, + 693, + 693, + 694, + 694, + 694, + 695, + 695, + 695, + 695, + 696, + 696, + 696, + 697, + 697, + 697, + 698, + 698, + 698, + 698, + 699, + 699, + 699, + 700, + 700, + 700, + 701, + 701, + 701, + 701, + 702, + 702, + 702, + 703, + 703, + 703, + 704, + 704, + 704, + 705, + 705, + 705, + 705, + 706, + 706, + 706, + 707, + 707, + 707, + 708, + 708, + 708, + 708, + 709, + 709, + 709, + 710, + 710, + 710, + 711, + 711, + 711, + 711, + 712, + 712, + 712, + 713, + 713, + 713, + 714, + 714, + 714, + 714, + 715, + 715, + 715, + 716, + 716, + 716, + 717, + 717, + 717, + 717, + 718, + 718, + 718, + 719, + 719, + 719, + 720, + 720, + 720, + 720, + 721, + 721, + 721, + 722, + 722, + 722, + 723, + 723, + 723, + 723, + 724, + 724, + 724, + 725, + 725, + 725, + 726, + 726, + 726, + 726, + 727, + 727, + 727, + 728, + 728, + 728, + 729, + 729, + 729, + 729, + 730, + 730, + 730, + 731, + 731, + 731, + 732, + 732, + 732, + 733, + 733, + 733, + 733, + 734, + 734, + 734, + 735, + 735, + 735, + 736, + 736, + 736, + 736, + 737, + 737, + 737, + 738, + 738, + 738, + 739, + 739, + 739, + 739, + 740, + 740, + 740, + 741, + 741, + 741, + 742, + 742, + 742, + 742, + 743, + 743, + 743, + 744, + 744, + 744, + 745, + 745, + 745, + 745, + 746, + 746, + 746, + 747, + 747, + 747, + 748, + 748, + 748, + 748, + 749, + 749, + 749, + 750, + 750, + 750, + 751, + 751, + 751, + 751, + 752, + 752, + 752, + 753, + 753, + 753, + 754, + 754, + 754, + 754, + 755, + 755, + 755, + 756, + 756, + 756, + 757, + 757, + 757, + 757, + 758, + 758, + 758, + 759, + 759, + 759, + 760, + 760, + 760, + 760, + 761, + 761, + 761, + 762, + 762, + 762, + 763, + 763, + 763, + 764, + 764, + 764, + 764, + 765, + 765, + 765, + 766, + 766, + 766, + 767, + 767, +}; + +static const UINT256 multipliers1_bid64[] = { {{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{0ull, 0ull, 0ull, 0ull}}, +{{11950291386221365447ull, 9908758460416160234ull, + 6069031768864303422ull, 2518694348665986494ull}}, +{{5453838698733179278ull, 1370772847122768853ull, + 12138063537728606845ull, 5037388697331972988ull}}, +{{10907677397466358555ull, 2741545694245537706ull, + 5829383001747662074ull, 10074777394663945977ull}}, +{{9560233108977092358ull, 4237657953591017864ull, + 8544574229833353061ull, 2014955478932789195ull}}, +{{673722144244633099ull, 8475315907182035729ull, + 17089148459666706122ull, 4029910957865578390ull}}, +{{1347444288489266198ull, 16950631814364071458ull, + 15731552845623860628ull, 8059821915731156781ull}}, +{{7648186487181673886ull, 18147521621840455584ull, + 6835659383866682448ull, 1611964383146231356ull}}, +{{15296372974363347772ull, 17848299169971359552ull, + 13671318767733364897ull, 3223928766292462712ull}}, +{{12146001875017143928ull, 17249854266233167489ull, + 8895893461757178179ull, 6447857532584925425ull}}, +{{13497246819229159756ull, 18207366112214274790ull, + 1779178692351435635ull, 1289571506516985085ull}}, +{{8547749564748767895ull, 17967988150718997965ull, + 3558357384702871271ull, 2579143013033970170ull}}, +{{17095499129497535789ull, 17489232227728444314ull, + 7116714769405742543ull, 5158286026067940340ull}}, +{{15744254185285519961ull, 16531720381747337013ull, + 14233429538811485087ull, 10316572052135880680ull}}, +{{3148850837057103993ull, 10685041705833288049ull, + 2846685907762297017ull, 2063314410427176136ull}}, +{{6297701674114207985ull, 2923339337957024482ull, + 5693371815524594035ull, 4126628820854352272ull}}, +{{12595403348228415969ull, 5846678675914048964ull, + 11386743631049188070ull, 8253257641708704544ull}}, +{{13587127113871414164ull, 15926730994150451085ull, + 17034743985177478906ull, 1650651528341740908ull}}, +{{8727510154033276711ull, 13406717914591350555ull, + 15622743896645406197ull, 3301303056683481817ull}}, +{{17455020308066553422ull, 8366691755473149494ull, + 12798743719581260779ull, 6602606113366963635ull}}, +{{14559050505839041654ull, 16430733610062271191ull, + 2559748743916252155ull, 1320521222673392727ull}}, +{{10671356937968531692ull, 14414723146414990767ull, + 5119497487832504311ull, 2641042445346785454ull}}, +{{2895969802227511768ull, 10382702219120429919ull, + 10238994975665008623ull, 5282084890693570908ull}}, +{{5791939604455023535ull, 2318660364531308222ull, + 2031245877620465631ull, 10564169781387141817ull}}, +{{1158387920891004707ull, 11531778517131992614ull, + 7784946805007913772ull, 2112833956277428363ull}}, +{{2316775841782009414ull, 4616812960554433612ull, + 15569893610015827545ull, 4225667912554856726ull}}, +{{4633551683564018828ull, 9233625921108867224ull, + 12693043146322103474ull, 8451335825109713453ull}}, +{{4616059151454714089ull, 9225422813705594091ull, + 13606655073490151664ull, 1690267165021942690ull}}, +{{9232118302909428178ull, 4101553701636566ull, 8766566073270751713ull, + 3380534330043885381ull}}, +{{17492532109304740ull, 8203107403273133ull, 17533132146541503426ull, + 6761068660087770762ull}}, +{{3692847321163771272ull, 11069687065706385596ull, + 10885324058792121331ull, 1352213732017554152ull}}, +{{7385694642327542543ull, 3692630057703219576ull, + 3323904043874691047ull, 2704427464035108305ull}}, +{{14771389284655085085ull, 7385260115406439152ull, + 6647808087749382094ull, 5408854928070216610ull}}, +{{11096034495600618553ull, 14770520230812878305ull, + 13295616175498764188ull, 10817709856140433220ull}}, +{{13287253343345854681ull, 14022150490388306630ull, + 2659123235099752837ull, 2163541971228086644ull}}, +{{8127762612982157745ull, 9597556907067061645ull, + 5318246470199505675ull, 4327083942456173288ull}}, +{{16255525225964315489ull, 748369740424571674ull, + 10636492940399011351ull, 8654167884912346576ull}}, +{{6940453859934773421ull, 7528371577568734981ull, + 5816647402821712593ull, 1730833576982469315ull}}, +{{13880907719869546842ull, 15056743155137469962ull, + 11633294805643425186ull, 3461667153964938630ull}}, +{{9315071366029542068ull, 11666742236565388309ull, + 4819845537577298757ull, 6923334307929877261ull}}, +{{9241711902689729060ull, 13401394891538808631ull, + 4653317922257370074ull, 1384666861585975452ull}}, +{{36679731669906504ull, 8356045709368065647ull, 9306635844514740149ull, + 2769333723171950904ull}}, +{{73359463339813008ull, 16712091418736131294ull, 166527615319928682ull, + 5538667446343901809ull}}, +{{146718926679626015ull, 14977438763762710972ull, 333055230639857365ull, + 11077334892687803618ull}}, +{{29343785335925203ull, 14063534196978273164ull, + 11134657490353702442ull, 2215466978537560723ull}}, +{{58687570671850406ull, 9680324320246994712ull, 3822570906997853269ull, + 4430933957075121447ull}}, +{{117375141343700812ull, 913904566784437808ull, 7645141813995706539ull, + 8861867914150242894ull}}, +{{3712823843010650486ull, 11250827357582618531ull, + 16286423621766782600ull, 1772373582830048578ull}}, +{{7425647686021300972ull, 4054910641455685446ull, + 14126103169824013585ull, 3544747165660097157ull}}, +{{14851295372042601943ull, 8109821282911370892ull, + 9805462265938475554ull, 7089494331320194315ull}}, +{{6659607889150430712ull, 16379359515549915471ull, + 1961092453187695110ull, 1417898866264038863ull}}, +{{13319215778300861424ull, 14311974957390279326ull, + 3922184906375390221ull, 2835797732528077726ull}}, +{{8191687482892171231ull, 10177205841071007037ull, + 7844369812750780443ull, 5671595465056155452ull}}, +{{16383374965784342462ull, 1907667608432462458ull, + 15688739625501560887ull, 11343190930112310904ull}}, +{{18034070252124509786ull, 4070882336428402814ull, + 17895143184067953470ull, 2268638186022462180ull}}, +{{17621396430539467955ull, 8141764672856805629ull, + 17343542294426355324ull, 4537276372044924361ull}}, +{{16796048787369384293ull, 16283529345713611259ull, + 16240340515143159032ull, 9074552744089848723ull}}, +{{18116605016441518152ull, 3256705869142722251ull, + 14316114547254362776ull, 1814910548817969744ull}}, +{{17786465959173484687ull, 6513411738285444503ull, + 10185485020799173936ull, 3629821097635939489ull}}, +{{17126187844637417758ull, 13026823476570889007ull, + 1924225967888796256ull, 7259642195271878979ull}}, +{{10803935198411304198ull, 2605364695314177801ull, + 15142240452545400544ull, 1451928439054375795ull}}, +{{3161126323113056780ull, 5210729390628355603ull, + 11837736831381249472ull, 2903856878108751591ull}}, +{{6322252646226113560ull, 10421458781256711206ull, + 5228729589052947328ull, 5807713756217503183ull}}, +{{12644505292452227119ull, 2396173488803870796ull, + 10457459178105894657ull, 11615427512435006366ull}}, +{{17286296317458086717ull, 11547281141986505128ull, + 5780840650363089254ull, 2323085502487001273ull}}, +{{16125848561206621817ull, 4647818210263458641ull, + 11561681300726178509ull, 4646171004974002546ull}}, +{{13804953048703692018ull, 9295636420526917283ull, + 4676618527742805402ull, 9292342009948005093ull}}, +{{13829037053966469374ull, 1859127284105383456ull, + 12003370149774292050ull, 1858468401989601018ull}}, +{{9211330034223387131ull, 3718254568210766913ull, + 5559996225839032484ull, 3716936803979202037ull}}, +{{18422660068446774261ull, 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10092499094580511240ull, + 9122891541139893883ull, 2101865168015838698ull}}, +{{226903058750566907ull, 1738254115451470865ull, + 18245783082279787767ull, 4203730336031677396ull}}, +{{453806117501133814ull, 3476508230902941730ull, + 18044822090850023918ull, 8407460672063354793ull}}, +{{3780110038242137086ull, 4384650460922498669ull, + 14677010862395735753ull, 1681492134412670958ull}}, +{{7560220076484274172ull, 8769300921844997338ull, + 10907277651081919890ull, 3362984268825341917ull}}, +{{15120440152968548344ull, 17538601843689994676ull, + 3367811228454288164ull, 6725968537650683835ull}}, +{{3024088030593709669ull, 18265115627705640228ull, + 673562245690857632ull, 1345193707530136767ull}}, +{{6048176061187419338ull, 18083487181701728840ull, + 1347124491381715265ull, 2690387415060273534ull}}, +{{12096352122374838675ull, 17720230289693906064ull, + 2694248982763430531ull, 5380774830120547068ull}}, +{{5745960171040125734ull, 16993716505678260513ull, + 5388497965526861063ull, 10761549660241094136ull}}, +{{8527889663691845794ull, 18156138560103293395ull, + 4767048407847282535ull, 2152309932048218827ull}}, +{{17055779327383691587ull, 17865533046497035174ull, + 9534096815694565071ull, 4304619864096437654ull}}, +{{15664814581057831557ull, 17284322019284518733ull, + 621449557679578527ull, 8609239728192875309ull}}, +{{17890358175179207605ull, 7146213218598814069ull, + 14881685170503556998ull, 1721847945638575061ull}}, +{{17333972276648863593ull, 14292426437197628139ull, + 11316626267297562380ull, 3443695891277150123ull}}, +{{16221200479588175569ull, 10138108800685704663ull, + 4186508460885573145ull, 6887391782554300247ull}}, +{{3244240095917635114ull, 9406319389620961579ull, + 8215999321660935275ull, 1377478356510860049ull}}, +{{6488480191835270228ull, 365894705532371542ull, + 16431998643321870551ull, 2754956713021720098ull}}, +{{12976960383670540455ull, 731789411064743084ull, + 14417253212934189486ull, 5509913426043440197ull}}, +{{7507176693631529294ull, 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11508381258123593838ull, + 10604252578004984615ull, 3029106939986929961ull}}, +{{2588510742481019997ull, 4570018442537636061ull, + 2761761082300417615ull, 6058213879973859923ull}}, +{{5177021484962039993ull, 9140036885075272122ull, + 5523522164600835230ull, 12116427759947719846ull}}, +{{12103450741218138969ull, 5517356191756964747ull, + 4794053247662077369ull, 2423285551989543969ull}}, +{{5760157408726726321ull, 11034712383513929495ull, + 9588106495324154738ull, 4846571103979087938ull}}, +{{11520314817453452641ull, 3622680693318307374ull, + 729468916938757861ull, 9693142207958175877ull}}, +{{9682760592974511175ull, 11792582582889392444ull, + 7524591412871572218ull, 1938628441591635175ull}}, +{{918777112239470733ull, 5138421092069233273ull, + 15049182825743144437ull, 3877256883183270350ull}}, +{{1837554224478941466ull, 10276842184138466546ull, + 11651621577776737258ull, 7754513766366540701ull}}, +{{367510844895788294ull, 16812763695795334602ull, + 6019673130297257774ull, 1550902753273308140ull}}, +{{735021689791576587ull, 15178783317881117588ull, + 12039346260594515549ull, 3101805506546616280ull}}, +{{1470043379583153173ull, 11910822562052683560ull, + 5631948447479479483ull, 6203611013093232561ull}}, +{{2940086759166306346ull, 5374901050395815504ull, + 11263896894958958967ull, 12407222026186465122ull}}, +{{11656063796058992239ull, 15832375469046804393ull, + 9631477008475612439ull, 2481444405237293024ull}}, +{{4865383518408432862ull, 13218006864384057171ull, + 816209943241673263ull, 4962888810474586049ull}}, +{{9730767036816865723ull, 7989269655058562726ull, + 1632419886483346527ull, 9925777620949172098ull}}, +{{5635502222105283468ull, 1597853931011712545ull, + 11394530421522400275ull, 1985155524189834419ull}}, +{{11271004444210566936ull, 3195707862023425090ull, + 4342316769335248934ull, 3970311048379668839ull}}, +{{4095264814711582255ull, 6391415724046850181ull, + 8684633538670497868ull, 7940622096759337678ull}}, +{{8197750592426137098ull, 4967631959551280359ull, + 12804973151959830543ull, 1588124419351867535ull}}, +{{16395501184852274195ull, 9935263919102560718ull, + 7163202230210109470ull, 3176248838703735071ull}}, +{{14344258295994996774ull, 1423783764495569821ull, + 14326404460420218941ull, 6352497677407470142ull}}, +{{10241772518280441931ull, 2847567528991139643ull, + 10206064847130886266ull, 12704995354814940285ull}}, +{{16805749762623729679ull, 4258862320540138251ull, + 2041212969426177253ull, 2540999070962988057ull}}, +{{15164755451537907742ull, 8517724641080276503ull, + 4082425938852354506ull, 5081998141925976114ull}}, +{{11882766829366263868ull, 17035449282160553007ull, + 8164851877704709012ull, 10163996283851952228ull}}, +{{9755250995357073420ull, 3407089856432110601ull, + 12701016819766672772ull, 2032799256770390445ull}}, +{{1063757917004595224ull, 6814179712864221203ull, + 6955289565823793928ull, 4065598513540780891ull}}, +{{2127515834009190448ull, 13628359425728442406ull, + 13910579131647587856ull, 8131197027081561782ull}}, +{{15182898425769479383ull, 13793718329371419450ull, + 10160813455813338217ull, 1626239405416312356ull}}, +{{11919052777829407149ull, 9140692585033287285ull, + 1874882837917124819ull, 3252478810832624713ull}}, +{{5391361481949262682ull, 18281385170066574571ull, + 3749765675834249638ull, 6504957621665249426ull}}, +{{1078272296389852537ull, 18413672292980956207ull, + 4439301949908760250ull, 1300991524333049885ull}}, +{{2156544592779705073ull, 18380600512252360798ull, + 8878603899817520501ull, 2601983048666099770ull}}, +{{4313089185559410146ull, 18314456950795169980ull, + 17757207799635041003ull, 5203966097332199540ull}}, +{{8626178371118820291ull, 18182169827880788344ull, + 17067671525560530391ull, 10407932194664399081ull}}, +{{5414584488965674382ull, 11015131595059978315ull, + 7102883119854016401ull, 2081586438932879816ull}}, +{{10829168977931348763ull, 3583519116410405014ull, + 14205766239708032803ull, 4163172877865759632ull}}, +{{3211593882153145910ull, 7167038232820810029ull, + 9964788405706513990ull, 8326345755731519265ull}}, +{{15399714035398270475ull, 1433407646564162005ull, + 1992957681141302798ull, 1665269151146303853ull}}, +{{12352683997086989334ull, 2866815293128324011ull, + 3985915362282605596ull, 3330538302292607706ull}}, +{{6258623920464427051ull, 5733630586256648023ull, + 7971830724565211192ull, 6661076604585215412ull}}, +{{8630422413576706057ull, 15904121376218970897ull, + 8973063774396862884ull, 1332215320917043082ull}}, +{{17260844827153412114ull, 13361498678728390178ull, + 17946127548793725769ull, 2664430641834086164ull}} +}; + +static const UINT256 multipliers2_bid64[] = + { {{9438227768328448678ull, 4145630637659340425ull, + 17596454752367787604ull, 34ull}}, +{{429711462947345740ull, 8291261275318680851ull, + 16746165431026023592ull, 69ull}}, +{{859422925894691480ull, 16582522550637361702ull, + 15045586788342495568ull, 139ull}}, +{{1718845851789382959ull, 14718301027565171788ull, + 11644429502975439521ull, 279ull}}, +{{3437691703578765918ull, 10989857981420791960ull, + 4842114932241327427ull, 559ull}}, +{{6875383407157531835ull, 3532971889132032304ull, + 9684229864482654855ull, 1118ull}}, +{{13750766814315063670ull, 7065943778264064608ull, + 921715655255758094ull, 2237ull}}, +{{9054789554920575724ull, 14131887556528129217ull, + 1843431310511516188ull, 4474ull}}, +{{18109579109841151448ull, 9817031039346706818ull, + 3686862621023032377ull, 8948ull}}, +{{17772414145972751280ull, 1187318004983862021ull, + 7373725242046064755ull, 17896ull}}, +{{17098084218235950944ull, 2374636009967724043ull, + 14747450484092129510ull, 35792ull}}, +{{15749424362762350272ull, 4749272019935448087ull, + 11048156894474707404ull, 71585ull}}, +{{13052104651815148928ull, 9498544039870896175ull, + 3649569715239863192ull, 143171ull}}, +{{7657465229920746239ull, 550344006032240735ull, 7299139430479726385ull, + 286342ull}}, +{{15314930459841492478ull, 1100688012064481470ull, + 14598278860959452770ull, 572684ull}}, +{{12183116845973433340ull, 2201376024128962941ull, + 10749813648209353924ull, 1145369ull}}, +{{5919489618237315063ull, 4402752048257925883ull, + 3052883222709156232ull, 2290739ull}}, +{{11838979236474630126ull, 8805504096515851766ull, + 6105766445418312464ull, 4581478ull}}, +{{5231214399239708635ull, 17611008193031703533ull, + 12211532890836624928ull, 9162956ull}}, +{{10462428798479417270ull, 16775272312353855450ull, + 5976321707963698241ull, 18325913ull}}, +{{2478113523249282924ull, 15103800550998159285ull, + 11952643415927396483ull, 36651826ull}}, +{{4956227046498565847ull, 11760857028286766954ull, + 5458542758145241351ull, 73303653ull}}, +{{9912454092997131693ull, 5074969982863982292ull, + 10917085516290482703ull, 146607306ull}}, +{{1378164112284711770ull, 10149939965727964585ull, + 3387426958871413790ull, 293214613ull}}, +{{2756328224569423540ull, 1853135857746377554ull, + 6774853917742827581ull, 586429226ull}}, +{{5512656449138847079ull, 3706271715492755108ull, + 13549707835485655162ull, 1172858452ull}}, +{{11025312898277694158ull, 7412543430985510216ull, + 8652671597261758708ull, 2345716905ull}}, +{{3603881722845836699ull, 14825086861971020433ull, + 17305343194523517416ull, 4691433810ull}}, +{{7207763445691673397ull, 11203429650232489250ull, + 16163942315337483217ull, 9382867621ull}}, +{{14415526891383346794ull, 3960115226755426884ull, + 13881140556965414819ull, 18765735243ull}}, +{{10384309709057141972ull, 7920230453510853769ull, + 9315537040221278022ull, 37531470487ull}}, +{{2321875344404732328ull, 15840460907021707539ull, + 184330006733004428ull, 75062940975ull}}, +{{4643750688809464655ull, 13234177740333863462ull, + 368660013466008857ull, 150125881950ull}}, +{{9287501377618929309ull, 8021611406958175308ull, 737320026932017715ull, + 300251763900ull}}, +{{128258681528307001ull, 16043222813916350617ull, + 1474640053864035430ull, 600503527800ull}}, +{{256517363056614002ull, 13639701554123149618ull, + 2949280107728070861ull, 1201007055600ull}}, +{{513034726113228003ull, 8832659034536747620ull, 5898560215456141723ull, + 2402014111200ull}}, +{{1026069452226456005ull, 17665318069073495240ull, + 11797120430912283446ull, 4804028222400ull}}, +{{2052138904452912009ull, 16883892064437438864ull, + 5147496788115015277ull, 9608056444801ull}}, +{{4104277808905824018ull, 15321040055165326112ull, + 10294993576230030555ull, 19216112889602ull}}, +{{8208555617811648035ull, 12195336036621100608ull, + 2143243078750509495ull, 38432225779205ull}}, +{{16417111235623296070ull, 5943927999532649600ull, + 4286486157501018991ull, 76864451558410ull}}, +{{14387478397537040523ull, 11887855999065299201ull, + 8572972315002037982ull, 153728903116820ull}}, +{{10328212721364529429ull, 5328967924421046787ull, + 17145944630004075965ull, 307457806233640ull}}, +{{2209681369019507241ull, 10657935848842093575ull, + 15845145186298600314ull, 614915612467281ull}}, +{{4419362738039014482ull, 2869127623974635534ull, + 13243546298887649013ull, 1229831224934563ull}}, 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130099152433304988ull}}, +{{7594352088761791154ull, 3682734458596191241ull, 887860389981752050ull, + 260198304866609977ull}}, +{{15188704177523582308ull, 7365468917192382482ull, + 1775720779963504100ull, 520396609733219954ull}}, +{{11930664281337612999ull, 14730937834384764965ull, + 3551441559927008200ull, 1040793219466439908ull}}, +{{13454179300493253570ull, 14014234011102683962ull, + 11778334756211132609ull, 208158643893287981ull}}, +{{8461614527276955523ull, 9581723948495816309ull, + 5109925438712713603ull, 416317287786575963ull}}, +{{16923229054553911046ull, 716703823282081002ull, + 10219850877425427207ull, 832634575573151926ull}}, +{{3384645810910782210ull, 11211387208882147170ull, + 5733318990226995764ull, 166526915114630385ull}}, +{{6769291621821564419ull, 3976030344054742724ull, + 11466637980453991529ull, 333053830229260770ull}}, +{{13538583243643128837ull, 7952060688109485448ull, + 4486531887198431442ull, 666107660458521541ull}}, +{{6397065463470536091ull, 12658458581847628059ull, + 4586655192181596611ull, 133221532091704308ull}}, +{{12794130926941072181ull, 6870173089985704502ull, + 9173310384363193223ull, 266443064183408616ull}} +}; + +static const UINT128 coefflimits_bid64[] = { {{10000000000000000ull, 0ull}}, +{{2000000000000000ull, 0ull}}, +{{400000000000000ull, 0ull}}, +{{80000000000000ull, 0ull}}, +{{16000000000000ull, 0ull}}, +{{3200000000000ull, 0ull}}, +{{640000000000ull, 0ull}}, +{{128000000000ull, 0ull}}, +{{25600000000ull, 0ull}}, +{{5120000000ull, 0ull}}, +{{1024000000ull, 0ull}}, +{{204800000ull, 0ull}}, +{{40960000ull, 0ull}}, +{{8192000ull, 0ull}}, +{{1638400ull, 0ull}}, +{{327680ull, 0ull}}, +{{65536ull, 0ull}}, +{{13107ull, 0ull}}, +{{2621ull, 0ull}}, +{{524ull, 0ull}}, +{{104ull, 0ull}}, +{{20ull, 0ull}}, +{{4ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}}, +{{0ull, 0ull}} +}; + +// ********************************************************************** + +static const UINT128 coefflimits_bid128[] = + { {{4003012203950112768ull, 542101086242752ull}}, +{{8179300070273843200ull, 108420217248550ull}}, +{{1635860014054768640ull, 21684043449710ull}}, +{{327172002810953728ull, 4336808689942ull}}, +{{7444132030046011392ull, 867361737988ull}}, +{{12556872850234933248ull, 173472347597ull}}, +{{9890072199530807296ull, 34694469519ull}}, +{{16735409698873802752ull, 6938893903ull}}, +{{14415128384000491520ull, 1387778780ull}}, +{{2883025676800098304ull, 277555756ull}}, +{{4265953950101929984ull, 55511151ull}}, +{{4542539604762296320ull, 11102230ull}}, +{{908507920952459264ull, 2220446ull}}, +{{3871050398932402176ull, 444089ull}}, +{{15531605338754121728ull, 88817ull}}, +{{10485018697234644992ull, 17763ull}}, +{{13165050183672659968ull, 3552ull}}, +{{10011707666218352640ull, 710ull}}, +{{2002341533243670528ull, 142ull}}, +{{7779165936132554752ull, 28ull}}, +{{12623879631452241920ull, 5ull}}, +{{2524775926290448384ull, 1ull}}, +{{4194304000000000000ull, 0ull}}, +{{838860800000000000ull, 0ull}}, +{{167772160000000000ull, 0ull}}, +{{33554432000000000ull, 0ull}}, +{{6710886400000000ull, 0ull}}, +{{1342177280000000ull, 0ull}}, +{{268435456000000ull, 0ull}}, +{{53687091200000ull, 0ull}}, +{{10737418240000ull, 0ull}}, +{{2147483648000ull, 0ull}}, +{{429496729600ull, 0ull}}, +{{85899345920ull, 0ull}}, +{{17179869184ull, 0ull}}, +{{3435973836ull, 0ull}}, +{{687194767ull, 0ull}}, +{{137438953ull, 0ull}}, +{{27487790ull, 0ull}}, +{{5497558ull, 0ull}}, +{{1099511ull, 0ull}}, +{{219902ull, 0ull}}, +{{43980ull, 0ull}}, +{{8796ull, 0ull}}, +{{1759ull, 0ull}}, +{{351ull, 0ull}}, +{{70ull, 0ull}}, +{{14ull, 0ull}}, +{{2ull, 0ull}} +}; + +// These are the different, bipartite, tables for conversion to bid128 +// Using the same approach, the tables become extremely large +// And things are more amenable here since there's never overflow/underflow + +static const UINT256 outertable_sig[] = + { {{16710528681477587410ull, 1427578414467097172ull, + 17470362193306814444ull, 17633471421292828081ull}}, +{{15880413049339289368ull, 3169162604521042544ull, + 12421848348224877000ull, 10175591536883283100ull}}, +{{728324709502741634ull, 5487234822932806241ull, + 14277366029702694882ull, 11743877385420605756ull}}, +{{5270439690693945016ull, 5335305964155802506ull, + 4731239033579481048ull, 13553871098685738146ull}}, +{{15770926697301461842ull, 17478494563481727979ull, + 12172666691698088779ull, 15642825255298684824ull}}, +{{6706015564063194464ull, 9524484409513358023ull, + 3584925281718916951ull, 18053733887991431306ull}}, +{{11970480524618434228ull, 11405570099769256704ull, + 15462553542164535233ull, 10418108684938663938ull}}, +{{6786207772287397676ull, 2319456072422691258ull, + 3306628541457879036ull, 12023771840725819358ull}}, +{{11981052113010165492ull, 3504057943690712651ull, + 1876153621163772099ull, 13876903538819465956ull}}, +{{9393164661428669080ull, 12786250932199773041ull, + 1469280998340568779ull, 16015644206874417279ull}}, +{{16924685242153318850ull, 18017830257179898541ull, + 8443357802200517361ull, 9242006282008467740ull}}, +{{10964968671057563176ull, 5039440430669711539ull, + 5426243050445487622ull, 10666405798403203685ull}}, +{{10955754838860298353ull, 7697974614691938479ull, + 5802604364043796934ull, 12310337083160321132ull}}, +{{2020816881108765590ull, 11827301330378587775ull, + 11428107909474365520ull, 14207634883319258514ull}}, +{{17088069107880998350ull, 4283872614129133981ull, + 3596834484036483711ull, 16397348635874181367ull}}, +{{17878879927905357932ull, 16765016545576715295ull, + 16689816215723394984ull, 9462273083962776199ull}}, +{{13121733289080687293ull, 18283685101712419716ull, + 16276586284347626380ull, 10920620632484725600ull}}, +{{17814811358648632259ull, 13245640156276305425ull, + 16363965810173909683ull, 12603732099085151178ull}}, +{{4756697993914874888ull, 11508234184157253656ull, + 5137266535116401279ull, 14546248621894116172ull}}, +{{5318236458935323174ull, 6543830884414701181ull, + 6453355338781772809ull, 16788150311867950084ull}}, +{{6485710970464102310ull, 9658720758000782538ull, + 1405691438411884535ull, 9687789553853107178ull}}, +{{16668567668910748869ull, 7353216905500064137ull, + 16398637311140236340ull, 11180894225541718927ull}}, +{{10250898639443956700ull, 17209112682100433509ull, + 10404161081088486903ull, 12904119664018836844ull}}, +{{8190593687966138954ull, 9395575747272723417ull, + 5270639644724875979ull, 14892932617404296676ull}}, +{{16096765186944088526ull, 5812137315202163815ull, + 13827109944906121794ull, 17188266051577202911ull}}, +{{13125058493821651226ull, 13878096157524874998ull, + 7819283672493662452ull, 9918680808189048078ull}}, +{{10784977039313888136ull, 7095114120404217728ull, + 5980679097159643429ull, 11447370977331402726ull}}, +{{18074025829186132275ull, 1141984379626550674ull, + 7557580538320593620ull, 13211666432945230258ull}}, +{{884127375074722974ull, 5630658839879210216ull, 8888788495242174599ull, + 15247879210087606793ull}}, +{{14794677677148287412ull, 15991859528909753139ull, + 2255166953101703543ull, 17597917839164816062ull}}, +{{11781503818372409883ull, 16487377189598053250ull, + 1614766483381505408ull, 10155074945409931597ull}}, +{{13901203812957478350ull, 17671725616207330354ull, + 9774501520532043416ull, 11720198729122693309ull}}, +{{2841277750318224700ull, 62614824260888948ull, 7875289095414864909ull, + 13526543032773672749ull}}, +{{4177215723684349918ull, 5549883551398310595ull, + 6548711429670794128ull, 15611285324269742443ull}}, +{{10113135653152274419ull, 1238174514434849746ull, + 15010187426055142985ull, 18017332949391848572ull}}, +{{15332868447221136909ull, 16659234357027498643ull, + 8156814090647504084ull, 10397103116953834012ull}}, +{{15245187402216469644ull, 12129929088655149192ull, + 9861651730211963150ull, 11999528845718521943ull}}, +{{11169863271521019024ull, 11690833164181629132ull, + 18055231442152805128ull, 13848924157002783033ull}}, +{{5681139181384005971ull, 16315598095635316730ull, + 12429006944274865118ull, 15983352577617880224ull}}, +{{0ull, 0ull, 0ull, 9223372036854775808ull}}, +{{847738094735128551ull, 159020156881263929ull, 14298703881791668535ull, + 10644899600020376799ull}}, +{{12571812103339493257ull, 9592188640606484874ull, + 15977522551232326327ull, 12285516299433008781ull}}, +{{11255846670375652269ull, 16219642565822741785ull, + 1164180458167399492ull, 14178988662640388631ull}}, +{{4768530159026621925ull, 11269558331910606010ull, + 14728279675391465720ull, 16364287392998134214ull}}, +{{10435171899994305314ull, 3358688235984080491ull, + 10873005112892106269ull, 9443194724678278428ull}}, +{{9001934648837042518ull, 12742858465034581069ull, + 7821978264675184102ull, 10898601872067700364ull}}, +{{17621267265258286727ull, 4697230115438671198ull, + 9730745556445007669ull, 12578319756070083561ull}}, +{{15489206033570711069ull, 5939008219696634639ull, + 7281543418588385486ull, 14516919669433371671ull}}, +{{5582382164278045428ull, 1021128504191590019ull, + 15859662269683349667ull, 16754301112998936544ull}}, +{{13306060077138970688ull, 17077419079040409017ull, + 602300193611639289ull, 9668256495766433483ull}}, +{{16144900726383728979ull, 6332437060439625781ull, + 3394061071468721991ull, 11158350687084940805ull}}, +{{841527738022137013ull, 8576187517129556015ull, 4780478900157118356ull, + 12878101662951253988ull}}, +{{6209518431268106959ull, 6563228687006195825ull, + 8680557599339190037ull, 14862904661462481806ull}}, +{{13777918056850427098ull, 13980713634323581067ull, + 3260730320187665275ull, 17153610117183879308ull}}, +{{14026398967643035423ull, 16044002814696042637ull, + 13563648246219923183ull, 9898682214361989196ull}}, +{{8580849201736980837ull, 7652064075251385167ull, + 12055336643618066002ull, 11424290153682525668ull}}, +{{7703450277136593061ull, 30939122015382097ull, 1733744904199768989ull, + 13185028339041359606ull}}, +{{16645858086931268484ull, 268706294728574543ull, + 4562366333509913804ull, 15217135591158481007ull}}, +{{1535817262145462730ull, 16249574698204674087ull, + 1726174694286833848ull, 17562435942139069664ull}}, +{{1327779613951528273ull, 12607890553358950732ull, + 6773080245737622022ull, 10134599720625107110ull}}, +{{10146669700226523625ull, 6816618733538609533ull, + 17338427607494047961ull, 11696567815043613180ull}}, +{{1218646606393179524ull, 8053984438814192242ull, + 5512554737593155320ull, 13499270067222312908ull}}, +{{8529816360522570005ull, 2898610325645650649ull, + 12799329154556421864ull, 15579808985797328396ull}}, +{{8976626101186384018ull, 17306366585957786234ull, + 18289272351796647404ull, 17981005404381600394ull}}, +{{13259258789938866699ull, 3853966764738768487ull, + 3962898110873089456ull, 10376139901559067117ull}}, +{{899097863387258947ull, 18205835716688941338ull, + 5828614502416977816ull, 11975334730781032005ull}}, +{{6805696657844643720ull, 11269663690239600300ull, + 15713752492130876427ull, 13821001188766021149ull}}, +{{1390669429605106863ull, 9874674503958832077ull, + 10784451562526769943ull, 15951126056533488631ull}}, +{{5704986635434998471ull, 13359511205918707297ull, + 13484363347568202582ull, 18409550726197325520ull}}, +{{8031416311578790746ull, 15203770801091158414ull, + 10108131133879485063ull, 10623436763626360685ull}}, +{{14540970352057967818ull, 10823414366732926995ull, + 16152175176069010361ull, 12260745560745135745ull}}, +{{15950896424073439808ull, 7311065895593189991ull, + 14504991862333000338ull, 14150400200058902426ull}}, +{{5978819348613013533ull, 5596367464999577452ull, + 9804643584580705193ull, 16331292810031855499ull}}, +{{8586457898440847299ull, 6018330550275346810ull, + 7956755163056284140ull, 9424154832238877876ull}}, +{{1114429888821394320ull, 1760611426277998851ull, + 9839409379426382903ull, 10876627507095459665ull}}, +{{7554605751361075608ull, 6504275622057553570ull, + 9148491728899045148ull, 12552958650829068784ull}}, +{{9208049516541304162ull, 15518058123431536615ull, + 17563500997894963674ull, 14487649851631658771ull}}, +{{1484107481346855224ull, 16657394431011607502ull, + 12009304572091620947ull, 16720520162760224108ull}}, +{{14325586681310127114ull, 11250726580617083666ull, + 2403442209646777766ull, 9648762821313776241ull}}, +{{14963893077912294692ull, 3450059817568720983ull, + 15313875826588494017ull, 11135852602159508258ull}} +}; + +static const UINT256 innertable_sig[] = + { {{1014026100135492416ull, 3035406636157676337ull, + 4549648098962661924ull, 12141680576410806693ull}}, +{{5879218643596753424ull, 3794258295197095421ull, + 10298746142130715309ull, 15177100720513508366ull}}, +{{5980354661461664842ull, 4677254443711878590ull, + 1825030320404309164ull, 9485687950320942729ull}}, +{{16698815363681856860ull, 5846568054639848237ull, + 6892973918932774359ull, 11857109937901178411ull}}, +{{7038461149320157363ull, 2696524049872422393ull, + 4004531380238580045ull, 14821387422376473014ull}}, +{{15928253264393568112ull, 3991170540383957947ull, + 16337890167931276240ull, 9263367138985295633ull}}, +{{15298630562064572236ull, 4988963175479947434ull, + 6587304654631931588ull, 11579208923731619542ull}}, +{{9899916165725939487ull, 6236203969349934293ull, + 17457502855144690293ull, 14474011154664524427ull}}, +{{16986581225584812263ull, 12406940980114805770ull, + 17210192550503474962ull, 18092513943330655534ull}}, +{{15228299284417895569ull, 12366024130999141510ull, + 6144684325637283947ull, 11307821214581659709ull}}, +{{9812002068667593653ull, 10845844145321538984ull, + 12292541425473992838ull, 14134776518227074636ull}}, +{{12265002585834492066ull, 4333933144797147922ull, + 15365676781842491048ull, 17668470647783843295ull}}, +{{12277312634573945445ull, 2708708215498217451ull, + 16521077016292638761ull, 11042794154864902059ull}}, +{{10734954774790043902ull, 7997571287800159718ull, + 16039660251938410547ull, 13803492693581127574ull}}, +{{4195321431632779070ull, 5385278091322811744ull, + 10826203278068237376ull, 17254365866976409468ull}}, +{{2622075894770486919ull, 3365798807076757340ull, + 15989749085647424168ull, 10783978666860255917ull}}, +{{3277594868463108648ull, 4207248508845946675ull, + 6152128301777116498ull, 13479973333575319897ull}}, +{{17932051640861049522ull, 14482432672912209151ull, + 12301846395648783526ull, 16849966666969149871ull}}, +{{18125061303179237808ull, 4439834402142742815ull, + 14606183024921571560ull, 10531229166855718669ull}}, +{{18044640610546659355ull, 5549793002678428519ull, + 4422670725869800738ull, 13164036458569648337ull}}, +{{17944114744755936290ull, 16160613290202811457ull, + 10140024425764638826ull, 16455045573212060421ull}}, +{{4297542687831378326ull, 14712069324804145065ull, + 8643358275316593218ull, 10284403483257537763ull}}, +{{9983614378216610811ull, 9166714619150405523ull, + 6192511825718353619ull, 12855504354071922204ull}}, +{{7867831954343375609ull, 6846707255510619000ull, + 7740639782147942024ull, 16069380442589902755ull}}, +{{4917394971464609756ull, 4279192034694136875ull, + 2532056854628769813ull, 10043362776618689222ull}}, +{{1535057695903374291ull, 9960676061795058998ull, + 12388443105140738074ull, 12554203470773361527ull}}, +{{11142194156733993672ull, 3227473040389047939ull, + 10873867862998534689ull, 15692754338466701909ull}}, +{{4658028338745052093ull, 13546385696311624722ull, + 9102010423587778132ull, 9807971461541688693ull}}, +{{15045907460286090924ull, 16932982120389530902ull, + 15989199047912110569ull, 12259964326927110866ull}}, +{{9584012288502837847ull, 7331169595204749916ull, + 10763126773035362404ull, 15324955408658888583ull}}, +{{15213379717169049462ull, 13805353033857744505ull, + 13644483260788183358ull, 9578097130411805364ull}}, +{{5181666591179148116ull, 8033319255467404824ull, + 17055604075985229198ull, 11972621413014756705ull}}, +{{6477083238973935145ull, 818277032479480222ull, 7484447039699372786ull, + 14965776766268445882ull}}, +{{17883235079640873178ull, 5123109163727063042ull, + 9289465418239495895ull, 9353610478917778676ull}}, +{{13130671812696315664ull, 1792200436231440899ull, + 11611831772799369869ull, 11692013098647223345ull}}, +{{11801653747443006676ull, 6851936563716689028ull, + 679731660717048624ull, 14615016373309029182ull}}, +{{14752067184303758345ull, 8564920704645861285ull, + 10073036612751086588ull, 18268770466636286477ull}}, +{{11525884999403542918ull, 14576447477258439111ull, + 8601490892183123069ull, 11417981541647679048ull}}, +{{9795670230827040743ull, 4385501291290885177ull, + 10751863615228903837ull, 14272476927059598810ull}}, +{{16856273806961188833ull, 10093562632540994375ull, + 4216457482181353988ull, 17840596158824498513ull}}, +{{17452700156991824877ull, 15531848682192897292ull, + 14164500972431816002ull, 11150372599265311570ull}}, +{{3369131122530229480ull, 10191438815886345808ull, + 8482254178684994195ull, 13937965749081639463ull}}, +{{4211413903162786849ull, 8127612501430544356ull, + 5991131704928854840ull, 17422457186352049329ull}}, +{{11855505726331517589ull, 5079757813394090222ull, + 15273672361649004035ull, 10889035741470030830ull}}, +{{5596010121059621178ull, 1738011248315224874ull, + 9868718415206479236ull, 13611294676837538538ull}}, +{{16218384688179302281ull, 2172514060394031092ull, + 3112525982153323237ull, 17014118346046923173ull}}, +{{913118393257288118ull, 3663664296959963385ull, 4251171748059520975ull, + 10633823966279326983ull}}, +{{5753084009998998051ull, 18414638426482117943ull, + 702278666647013314ull, 13292279957849158729ull}}, +{{2579668994071359659ull, 13794925996247871621ull, + 5489534351736154547ull, 16615349947311448411ull}}, +{{3918136130508293739ull, 6315985738441225811ull, + 1125115960621402640ull, 10384593717069655257ull}}, +{{285984144707979270ull, 7894982173051532264ull, 6018080969204141204ull, + 12980742146337069071ull}}, +{{357480180884974087ull, 9868727716314415330ull, 2910915193077788601ull, + 16225927682921336339ull}}, +{{4835111131480496709ull, 17697169868764979341ull, + 17960223060169475539ull, 10141204801825835211ull}}, +{{10655574932778008790ull, 17509776317528836272ull, + 17838592806784456520ull, 12676506002282294014ull}}, +{{13319468665972510987ull, 3440476323201493724ull, + 13074868971625794843ull, 15845632502852867518ull}}, +{{17548039953087595175ull, 18291198766496791241ull, + 3560107088838733872ull, 9903520314283042199ull}}, +{{8099991886077330257ull, 4417254384411437436ull, + 18285191916330581053ull, 12379400392853802748ull}}, +{{10124989857596662821ull, 10133253998941684699ull, + 4409745821703674700ull, 15474250491067253436ull}}, +{{4022275651784220311ull, 15556655786193328745ull, + 11979463175419572495ull, 9671406556917033397ull}}, +{{9639530583157663293ull, 14834133714314273027ull, + 1139270913992301907ull, 12089258196146291747ull}}, +{{7437727210519691212ull, 13930981124465453380ull, + 15259146697772541096ull, 15111572745182864683ull}}, +{{13871951543429582816ull, 8706863202790908362ull, + 7231123676894144233ull, 9444732965739290427ull}}, +{{8116567392432202712ull, 15495265021916023357ull, + 4427218577690292387ull, 11805916207174113034ull}}, +{{14757395258967641293ull, 14757395258967641292ull, + 14757395258967641292ull, 14757395258967641292ull}}, +{{0ull, 0ull, 0ull, 9223372036854775808ull}}, +{{0ull, 0ull, 0ull, 11529215046068469760ull}}, +{{0ull, 0ull, 0ull, 14411518807585587200ull}}, +{{0ull, 0ull, 0ull, 18014398509481984000ull}}, +{{0ull, 0ull, 0ull, 11258999068426240000ull}}, +{{0ull, 0ull, 0ull, 14073748835532800000ull}}, +{{0ull, 0ull, 0ull, 17592186044416000000ull}}, +{{0ull, 0ull, 0ull, 10995116277760000000ull}}, +{{0ull, 0ull, 0ull, 13743895347200000000ull}}, +{{0ull, 0ull, 0ull, 17179869184000000000ull}}, +{{0ull, 0ull, 0ull, 10737418240000000000ull}}, +{{0ull, 0ull, 0ull, 13421772800000000000ull}}, +{{0ull, 0ull, 0ull, 16777216000000000000ull}}, +{{0ull, 0ull, 0ull, 10485760000000000000ull}}, +{{0ull, 0ull, 0ull, 13107200000000000000ull}}, +{{0ull, 0ull, 0ull, 16384000000000000000ull}}, +{{0ull, 0ull, 0ull, 10240000000000000000ull}}, +{{0ull, 0ull, 0ull, 12800000000000000000ull}}, +{{0ull, 0ull, 0ull, 16000000000000000000ull}}, +{{0ull, 0ull, 0ull, 10000000000000000000ull}}, +{{0ull, 0ull, 0ull, 12500000000000000000ull}}, +{{0ull, 0ull, 0ull, 15625000000000000000ull}}, +{{0ull, 0ull, 0ull, 9765625000000000000ull}}, +{{0ull, 0ull, 0ull, 12207031250000000000ull}}, +{{0ull, 0ull, 0ull, 15258789062500000000ull}}, +{{0ull, 0ull, 0ull, 9536743164062500000ull}}, +{{0ull, 0ull, 0ull, 11920928955078125000ull}}, +{{0ull, 0ull, 0ull, 14901161193847656250ull}}, +{{0ull, 0ull, 4611686018427387904ull, 9313225746154785156ull}}, +{{0ull, 0ull, 5764607523034234880ull, 11641532182693481445ull}}, +{{0ull, 0ull, 11817445422220181504ull, 14551915228366851806ull}}, +{{0ull, 0ull, 5548434740920451072ull, 18189894035458564758ull}}, +{{0ull, 0ull, 17302829768357445632ull, 11368683772161602973ull}}, +{{0ull, 0ull, 7793479155164643328ull, 14210854715202003717ull}}, +{{0ull, 0ull, 14353534962383192064ull, 17763568394002504646ull}}, +{{0ull, 0ull, 4359273333062107136ull, 11102230246251565404ull}}, +{{0ull, 0ull, 5449091666327633920ull, 13877787807814456755ull}}, +{{0ull, 0ull, 2199678564482154496ull, 17347234759768070944ull}}, +{{0ull, 0ull, 1374799102801346560ull, 10842021724855044340ull}}, +{{0ull, 0ull, 1718498878501683200ull, 13552527156068805425ull}}, +{{0ull, 0ull, 6759809616554491904ull, 16940658945086006781ull}}, +{{0ull, 0ull, 6530724019560251392ull, 10587911840678754238ull}}, +{{0ull, 0ull, 17386777061305090048ull, 13234889800848442797ull}}, +{{0ull, 0ull, 7898413271349198848ull, 16543612251060553497ull}}, +{{0ull, 0ull, 16465723340661719040ull, 10339757656912845935ull}}, +{{0ull, 0ull, 15970468157399760896ull, 12924697071141057419ull}}, +{{0ull, 0ull, 15351399178322313216ull, 16155871338926321774ull}}, +{{0ull, 0ull, 4982938468024057856ull, 10097419586828951109ull}}, +{{0ull, 0ull, 10840359103457460224ull, 12621774483536188886ull}}, +{{0ull, 0ull, 4327076842467049472ull, 15777218104420236108ull}}, +{{0ull, 0ull, 11927795063396681728ull, 9860761315262647567ull}}, +{{0ull, 0ull, 10298057810818464256ull, 12325951644078309459ull}}, +{{0ull, 0ull, 8260886245095692416ull, 15407439555097886824ull}}, +{{0ull, 0ull, 5163053903184807760ull, 9629649721936179265ull}}, +{{0ull, 0ull, 11065503397408397604ull, 12037062152420224081ull}}, +{{0ull, 0ull, 18443565265187884909ull, 15046327690525280101ull}}, +{{0ull, 2305843009213693952ull, 13833071299956122020ull, + 9403954806578300063ull}}, +{{0ull, 2882303761517117440ull, 12679653106517764621ull, + 11754943508222875079ull}}, +{{0ull, 8214565720323784704ull, 11237880364719817872ull, + 14693679385278593849ull}}, +{{0ull, 10268207150404730880ull, 212292400617608628ull, + 18367099231598242312ull}}, +{{0ull, 15641001505857732608ull, 132682750386005392ull, + 11479437019748901445ull}}, +{{0ull, 1104507808612614144ull, 4777539456409894645ull, + 14349296274686126806ull}}, +{{0ull, 5992320779193155584ull, 15195296357367144114ull, + 17936620343357658507ull}}, +{{0ull, 8356886505423110144ull, 7191217214140771119ull, + 11210387714598536567ull}} +}; + +static const int outertable_exp[] = { -16839, + -16413, + -15988, + -15563, + -15138, + -14713, + -14287, + -13862, + -13437, + -13012, + -12586, + -12161, + -11736, + -11311, + -10886, + -10460, + -10035, + -9610, + -9185, + -8760, + -8334, + -7909, + -7484, + -7059, + -6634, + -6208, + -5783, + -5358, + -4933, + -4508, + -4082, + -3657, + -3232, + -2807, + -2382, + -1956, + -1531, + -1106, + -681, + -255, + 170, + 595, + 1020, + 1445, + 1871, + 2296, + 2721, + 3146, + 3571, + 3997, + 4422, + 4847, + 5272, + 5697, + 6123, + 6548, + 6973, + 7398, + 7823, + 8249, + 8674, + 9099, + 9524, + 9949, + 10375, + 10800, + 11225, + 11650, + 12075, + 12501, + 12926, + 13351, + 13776, + 14202, + 14627, + 15052, + 15477, + 15902, + 16328, + 16753, +}; + +static const int innertable_exp[] = { -468, + -465, + -461, + -458, + -455, + -451, + -448, + -445, + -442, + -438, + -435, + -432, + -428, + -425, + -422, + -418, + -415, + -412, + -408, + -405, + -402, + -398, + -395, + -392, + -388, + -385, + -382, + -378, + -375, + -372, + -368, + -365, + -362, + -358, + -355, + -352, + -349, + -345, + -342, + -339, + -335, + -332, + -329, + -325, + -322, + -319, + -315, + -312, + -309, + -305, + -302, + -299, + -295, + -292, + -289, + -285, + -282, + -279, + -275, + -272, + -269, + -265, + -262, + -259, + -255, + -252, + -249, + -246, + -242, + -239, + -236, + -232, + -229, + -226, + -222, + -219, + -216, + -212, + -209, + -206, + -202, + -199, + -196, + -192, + -189, + -186, + -182, + -179, + -176, + -172, + -169, + -166, + -162, + -159, + -156, + -153, + -149, + -146, + -143, + -139, + -136, + -133, + -129, + -126, + -123, + -119, + -116, + -113, + -109, + -106, + -103, + -99, + -96, + -93, + -89, + -86, + -83, + -79, + -76, + -73, + -69, + -66, + -63, + -60, + -56, + -53, + -50, + -46, +}; + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid32_to_binary32 (float *pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT32 x = *px; +#else +float +bid32_to_binary32 (UINT32 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid32 (x, s, e, k, (c.w[1]), return_binary32_zero (s), + return_binary32_inf (s), return_binary32_nan); + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89 +// Thus a shift of 25 given that we've already upacked in c.w[1] + + c.w[1] = c.w[1] << 25; + c.w[0] = 0; + k = k + 89; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is e >= ceil(128 * log_10(2)) = 39 + + if (e >= 39) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary32_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -80) + e = -80; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary32 + 80)[e]; + e_out = (exponents_binary32 + 80)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary32 + 80)[e]; + } else { + r = (multipliers2_binary32 + 80)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 26) + d = 26; + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == (1ull << 24)) { + c_prov = 1ull << 23; + e_out = e_out + 1; + } else if ((c_prov == (1ull << 23)) && (e_out == 1)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63)))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out >= 255) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary32_ovf (s); + } +// Modify exponent for a tiny result, otherwise lop the implicit bit + + if (c_prov < (1ull << 23)) + e_out = 0; + else + c_prov = c_prov & ((1ull << 23) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary32 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_binary32 (float *pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +float +bid64_to_binary32 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid64 (x, s, e, k, (c.w[0]), return_binary32_zero (s), + return_binary32_inf (s), return_binary32_nan); + c.w[1] = 0; + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59 + + sll128_short (c.w[1], c.w[0], 59); + k = k + 59; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is e >= ceil(128 * log_10(2)) = 39 + + if (e >= 39) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary32_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -80) + e = -80; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary32 + 80)[e]; + e_out = (exponents_binary32 + 80)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary32 + 80)[e]; + } else { + r = (multipliers2_binary32 + 80)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 26) + d = 26; + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == (1ull << 24)) { + c_prov = 1ull << 23; + e_out = e_out + 1; + } else if ((c_prov == (1ull << 23)) && (e_out == 1)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63)))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out >= 255) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary32_ovf (s); + } +// Modify exponent for a tiny result, otherwise lop the implicit bit + + if (c_prov < (1ull << 23)) + e_out = 0; + else + c_prov = c_prov & ((1ull << 23) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary32 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_to_binary32 (float *pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +float +bid128_to_binary32 (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid128 (x, s, e, k, c, return_binary32_zero (s), + return_binary32_inf (s), return_binary32_nan); + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is e >= ceil(128 * log_10(2)) = 39 + + if (e >= 39) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary32_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -80) + e = -80; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary32 + 80)[e]; + e_out = (exponents_binary32 + 80)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary32 + 80)[e]; + } else { + r = (multipliers2_binary32 + 80)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 26) + d = 26; + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == (1ull << 24)) { + c_prov = 1ull << 23; + e_out = e_out + 1; + } else if ((c_prov == (1ull << 23)) && (e_out == 1)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63)))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out >= 255) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary32_ovf (s); + } +// Modify exponent for a tiny result, otherwise lop the implicit bit + + if (c_prov < (1ull << 23)) + e_out = 0; + else + c_prov = c_prov & ((1ull << 23) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary32 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid32_to_binary64 (double *pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT32 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#else +double +bid32_to_binary64 (UINT32 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + + unpack_bid32 (x, s, e, k, (c.w[1]), return_binary64_zero (s), + return_binary64_inf (s), return_binary64_nan); + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89 +// In fact shift a further 6 places ready for reciprocal multiplication +// Thus (113-24)+6=95, a shift of 31 given that we've already upacked in c.w[1] + + c.w[1] = c.w[1] << 31; + c.w[0] = 0; + k = k + 89; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is e >= ceil(1024 * log_10(2)) = ceil(308.25) = 309 + + if (e >= 309) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary64_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -358) + e = -358; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary64 + 358)[e]; + e_out = (exponents_binary64 + 358)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary64 + 358)[e]; + } else { + r = (multipliers2_binary64 + 358)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 55) + d = 55; + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill into the next binade, correct + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == (1ull << 53)) { + c_prov = 1ull << 52; + e_out = e_out + 1; + } + } +// Check for overflow + + if (e_out >= 2047) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary64_ovf (s); + } +// Modify exponent for a tiny result, otherwise lop the implicit bit + + if (c_prov < (1ull << 52)) + e_out = 0; + else + c_prov = c_prov & ((1ull << 52) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary64 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_binary64 (double *pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#else +double +bid64_to_binary64 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + + unpack_bid64 (x, s, e, k, (c.w[1]), return_binary64_zero (s), + return_binary64_inf (s), return_binary64_nan); + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59 +// In fact shift a further 6 places ready for reciprocal multiplication +// Thus (113-54)+6=65, a shift of 1 given that we've already upacked in c.w[1] + + c.w[1] = c.w[1] << 1; + c.w[0] = 0; + k = k + 59; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(1024 * log_10(2)) = ceil(308.25) = 309 + + if (e >= 309) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary64_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -358) + e = -358; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary64 + 358)[e]; + e_out = (exponents_binary64 + 358)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary64 + 358)[e]; + } else { + r = (multipliers2_binary64 + 358)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 55) + d = 55; + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == (1ull << 53)) { + c_prov = 1ull << 52; + e_out = e_out + 1; + } else if ((c_prov == (1ull << 52)) && (e_out == 1)) + { + if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63)))) + + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out >= 2047) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary64_ovf (s); + } +// Modify exponent for a tiny result, otherwise lop the implicit bit + + if (c_prov < (1ull << 52)) + e_out = 0; + else + c_prov = c_prov & ((1ull << 52) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary64 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_to_binary64 (double *pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#else +double +bid128_to_binary64 (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + + unpack_bid128 (x, s, e, k, c, return_binary64_zero (s), + return_binary64_inf (s), return_binary64_nan); + +// Shift 6 more places left ready for reciprocal multiplication + + sll128_short (c.w[1], c.w[0], 6); + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(1024 * log_10(2)) = ceil(308.25) = 309 + + if (e >= 309) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary64_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -358) + e = -358; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary64 + 358)[e]; + e_out = (exponents_binary64 + 358)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary64 + 358)[e]; + } else { + r = (multipliers2_binary64 + 358)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 55) + d = 55; + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == (1ull << 53)) { + c_prov = 1ull << 52; + e_out = e_out + 1; + } else if ((c_prov == (1ull << 52)) && (e_out == 1)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63)))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out >= 2047) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary64_ovf (s); + } +// Modify exponent for a tiny result, otherwise lop the implicit bit + + if (c_prov < (1ull << 52)) + e_out = 0; + else + c_prov = c_prov & ((1ull << 52) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary64 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if __ENABLE_BINARY80__ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid32_to_binary80 (BINARY80 * pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT32 x = *px; +#else +BINARY80 +bid32_to_binary80 (UINT32 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid32 (x, s, e, k, (c.w[1]), return_binary80_zero (s), + return_binary80_inf (s), return_binary80_nan); + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89 +// Given that we've unpacked in the high part (<<64), that's just <<25 + + c.w[1] = c.w[1] << 25; + c.w[0] = 0; + k = k + 89; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933 + + if (e >= 4933) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary80_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -4985) + e = -4985; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary80 + 4985)[e]; + e_out = (exponents_binary80 + 4985)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary80 + 4985)[e]; + } else { + r = (multipliers2_binary80 + 4985)[e]; + e_out = e_out + 1; + } + + +// Do the reciprocal multiplication; make an effective shift of 303 bits +// by shifting 47 places right and taking the result from word 4 + + __mul_128x256_to_384 (z, c, r) + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], 47); + +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 66) + d = 66; + if (d >= 64) { + d -= 64; + z.w[1] = z.w[2], z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = 0; + } + e_out = 1; + srl256 (z.w[4], z.w[3], z.w[2], z.w[1], d); + } + c_prov = z.w[4]; + +// Round using round-sticky words +// If we spill into the next binade, correct + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[3], z.w[2])) { + c_prov = c_prov + 1; + if (c_prov == 0) { + c_prov = 1ull << 63; + e_out = e_out + 1; + } + } +// Check for overflow + + if (e_out >= 32767) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary80_ovf (s); + } +// Modify exponent for a tiny result + + if (c_prov < (1ull << 63)) + e_out = 0; + +// Set the inexact and underflow flag as appropriate + + if ((z.w[3] != 0) || (z.w[2] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary80 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_binary80 (BINARY80 * pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +BINARY80 +bid64_to_binary80 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid64 (x, s, e, k, (c.w[0]), return_binary80_zero (s), + return_binary80_inf (s), return_binary80_nan); + c.w[1] = 0; + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59 + + sll128_short (c.w[1], c.w[0], 59); + k = k + 59; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933 + + if (e >= 4933) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary80_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -4985) + e = -4985; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary80 + 4985)[e]; + e_out = (exponents_binary80 + 4985)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary80 + 4985)[e]; + } else { + r = (multipliers2_binary80 + 4985)[e]; + e_out = e_out + 1; + } + + +// Do the reciprocal multiplication; make an effective shift of 303 bits +// by shifting 47 places right and taking the result from word 4 + + __mul_128x256_to_384 (z, c, r) + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], 47); + +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 66) + d = 66; + if (d >= 64) { + d -= 64; + z.w[1] = z.w[2], z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = 0; + } + e_out = 1; + srl256 (z.w[4], z.w[3], z.w[2], z.w[1], d); + } + c_prov = z.w[4]; + +// Round using round-sticky words +// If we spill into the next binade, correct + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[3], z.w[2])) { + c_prov = c_prov + 1; + if (c_prov == 0) { + c_prov = 1ull << 63; + e_out = e_out + 1; + } + } +// Check for overflow + + if (e_out >= 32767) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary80_ovf (s); + } +// Modify exponent for a tiny result + + if (c_prov < (1ull << 63)) + e_out = 0; + +// Set the inexact and underflow flag as appropriate + + if ((z.w[3] != 0) || (z.w[2] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary80 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_to_binary80 (BINARY80 * pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +BINARY80 +bid128_to_binary80 (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid128 (x, s, e, k, c, return_binary80_zero (s), + return_binary80_inf (s), return_binary80_nan); + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933 + + if (e >= 4933) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary80_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 115) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -4985) + e = -4985; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary80 + 4985)[e]; + e_out = (exponents_binary80 + 4985)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary80 + 4985)[e]; + } else { + r = (multipliers2_binary80 + 4985)[e]; + e_out = e_out + 1; + } + + +// Do the reciprocal multiplication; make an effective shift of 303 bits +// by shifting 47 places right and taking the result from word 4 + + __mul_128x256_to_384 (z, c, r) + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], 47); + +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 66) + d = 66; + if (d >= 64) { + d -= 64; + z.w[1] = z.w[2], z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = 0; + } + e_out = 1; + srl256 (z.w[4], z.w[3], z.w[2], z.w[1], d); + } + c_prov = z.w[4]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[3], z.w[2])) { + c_prov = c_prov + 1; + if (c_prov == 0) { + c_prov = 1ull << 63; + e_out = e_out + 1; + } else if ((c_prov == (1ull << 63)) && (e_out == 1)) { + if ((((rnd_mode & 3) == 0) && (z.w[3] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[3] < (1ull << 63)))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out >= 32767) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary80_ovf (s); + } +// Modify exponent for a tiny result + + if (c_prov < (1ull << 63)) + e_out = 0; + +// Set the inexact and underflow flag as appropriate + + if ((z.w[3] != 0) || (z.w[2] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary80 (s, e_out, c_prov); +} + +#endif // matches #if __ENABLE_BINARY80__ + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid32_to_binary128 (BINARY128 * pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT32 x = *px; +#else +BINARY128 +bid32_to_binary128 (UINT32 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov_hi, c_prov_lo; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid32 (x, s, e, k, (c.w[1]), return_binary128_zero (s), + return_binary128_inf (s), return_binary128_nan); + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89 +// But also make an additional shift of 2 places to get a whole-word lop: +// (c * r) >> 254 = ((c << 2) * r) >> 256. Given that we unpack in the high +// end, our shift is (89+2)-64 = 27 + + c.w[0] = 0; + c.w[1] = c.w[1] << 27; + k = k + 89; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933 + + if (e >= 4933) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary128_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 114) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -5000) + e = -5000; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary128 + 5000)[e]; + e_out = (exponents_binary128 + 5000)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary128 + 5000)[e]; + } else { + r = (multipliers2_binary128 + 5000)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication; make an effective shift of 254 bits +// (given that we already shifted left 2 places) by lopping from word 4 + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 115) + d = 115; + if (d >= 64) { + d -= 64; + z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = z.w[5], z.w[5] = 0; + } + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill into the next binade, correct + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) { + c_prov_hi = c_prov_hi + 1; + if (c_prov_hi == 1ull << 49) { + c_prov_hi = 1ull << 48; + e_out = e_out + 1; + } + } + } +// Check for overflow + + if (e_out >= 32767) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary128_ovf (s); + } +// Modify exponent for a tiny result; otherwise lop off the implicit bit + + if (c_prov_hi < (1ull << 48)) + e_out = 0; + else + c_prov_hi = c_prov_hi & ((1ull << 48) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[3] != 0) || (z.w[2] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary128 (s, e_out, c_prov_hi, c_prov_lo); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_to_binary128 (BINARY128 * pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +BINARY128 +bid64_to_binary128 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov_hi, c_prov_lo; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + + unpack_bid64 (x, s, e, k, (c.w[0]), return_binary128_zero (s), + return_binary128_inf (s), return_binary128_nan); + c.w[1] = 0; + +// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59 +// But also make an additional shift of 2 places to get a whole-word lop: +// (c * r) >> 254 = ((c << 2) * r) >> 256 + + sll128_short (c.w[1], c.w[0], 61); + k = k + 59; + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933 + + if (e >= 4933) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary128_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 114) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -5000) + e = -5000; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary128 + 5000)[e]; + e_out = (exponents_binary128 + 5000)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary128 + 5000)[e]; + } else { + r = (multipliers2_binary128 + 5000)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication; make an effective shift of 254 bits +// (given that we already shifted left 2 places) by lopping from word 4 + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 115) + d = 115; + if (d >= 64) { + d -= 64; + z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = z.w[5], z.w[5] = 0; + } + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill into the next binade, correct + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) { + c_prov_hi = c_prov_hi + 1; + if (c_prov_hi == 1ull << 49) { + c_prov_hi = 1ull << 48; + e_out = e_out + 1; + } + } + } +// Check for overflow + + if (e_out >= 32767) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary128_ovf (s); + } +// Modify exponent for a tiny result; otherwise lop off the implicit bit + + if (c_prov_hi < (1ull << 48)) + e_out = 0; + else + c_prov_hi = c_prov_hi & ((1ull << 48) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[3] != 0) || (z.w[2] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary128 (s, e_out, c_prov_hi, c_prov_lo); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_to_binary128 (BINARY128 * pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT128 x = *px; +#else +BINARY128 +bid128_to_binary128 (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 c_prov_hi, c_prov_lo; + UINT128 c; + UINT128 m_min; + int s, e, k, e_out; + UINT256 r; + UINT384 z; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input and shift two further places for reciprocal multiplication + + unpack_bid128 (x, s, e, k, c, return_binary128_zero (s), + return_binary128_inf (s), return_binary128_nan); + sll128_short (c.w[1], c.w[0], 2); + +// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to +// keep tables smaller (it would be intercepted later otherwise). +// +// (Note that we may have normalized the coefficient, but we have a +// corresponding exponent postcorrection to account for; this can +// afford to be conservative anyway.) +// +// We actually check if e >= ceil((sci_emax + 1) * log_10(2)) +// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933 + + if (e >= 4933) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary128_ovf (s); + } +// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4, +// so test e <= floor((emin - 114) * log_10(2)) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -5000) + e = -5000; + +// Look up the breakpoint and approximate exponent + + m_min = (breakpoints_binary128 + 5000)[e]; + e_out = (exponents_binary128 + 5000)[e] - k; + +// Choose provisional exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_binary128 + 5000)[e]; + } else { + r = (multipliers2_binary128 + 5000)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication; make an effective shift of 254 bits +// (given that we already shifted left 2 places) by lopping from word 4 + + __mul_128x256_to_384 (z, c, r) +// Check for exponent underflow and compensate by shifting the product +// Cut off the process at precision+2, since we can't really shift further + if (e_out < 1) { + int d; + d = 1 - e_out; + if (d > 115) + d = 115; + if (d >= 64) { + d -= 64; + z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = z.w[5], z.w[5] = 0; + } + e_out = 1; + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d); + } + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill into the next binade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) { + c_prov_hi = c_prov_hi + 1; + if (c_prov_hi == 1ull << 49) { + c_prov_hi = 1ull << 48; + e_out = e_out + 1; + } else if ((c_prov_hi == (1ull << 48)) && (e_out == 1)) { + if ((((rnd_mode & 3) == 0) && (z.w[3] < (3ull << 62))) || + ((rnd_mode + (s & 1) == 2) && (z.w[3] < (1ull << 63)))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } + } +// Check for overflow + + if (e_out >= 32767) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_binary128_ovf (s); + } +// Modify exponent for a tiny result; otherwise lop off the implicit bit + + if (c_prov_hi < (1ull << 48)) + e_out = 0; + else + c_prov_hi = c_prov_hi & ((1ull << 48) - 1); + +// Set the inexact and underflow flag as appropriate + + if ((z.w[3] != 0) || (z.w[2] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (e_out == 0) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result as a binary floating-point number + + return_binary128 (s, e_out, c_prov_hi, c_prov_lo); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary32_to_bid32 (UINT32 * pres, float *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + float x = *px; +#else +UINT32 +binary32_to_bid32 (float x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary32 (x, s, e, c.w[1], t, return_bid32_zero (s), + return_bid32_inf (s), return_bid32_nan); + +// Treat like a quad input for uniformity, so (2^{113-24} * c * r) >> 320, +// where 320 is the truncation value for the reciprocal multiples, exactly +// five 64-bit words. So we shift 113-24=89 places. Since we unpacked in +// the high end, shift a further 89-64=25 places +// +// Remember to compensate for the fact that exponents are integer for quad + + c.w[0] = 0; + c.w[1] = c.w[1] << 25; + t += (113 - 24); + e -= (113 - 24); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 211) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], -e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull)) + return_bid32 (s, 101, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid32[a]; + srl128 (cint.w[1], cint.w[0], t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid32 (s, 101 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -450) + e = -450; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid32 + 450)[e]; + e_out = (exponents_bid32 + 450)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid32 + 450)[e]; + } else { + r = (multipliers2_bid32 + 450)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000ull) { + c_prov = 1000000ull; + e_out = e_out + 1; + } + } +// Check for overflow + + if (e_out > 90 + 101) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid32 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary64_to_bid32 (UINT32 * pres, double *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + double x = *px; +#else +UINT32 +binary64_to_bid32 (double x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary64 (x, s, e, c.w[0], t, return_bid32_zero (s), + return_bid32_inf (s), return_bid32_nan); + +// Treat like a quad input for uniformity, so (2^{113-53} * c * r) >> 320, +// where 320 is the truncation value for the reciprocal multiples, exactly +// five 64-bit words. So we shift 113-53=60 places +// +// Remember to compensate for the fact that exponents are integer for quad + + c.w[1] = 0; + sll128_short (c.w[1], c.w[0], 60); + t += (113 - 53); + e -= (113 - 53); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 211) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], -e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull)) + return_bid32 (s, 101, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid32[a]; + srl128 (cint.w[1], cint.w[0], t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid32 (s, 101 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -450) + e = -450; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid32 + 450)[e]; + e_out = (exponents_bid32 + 450)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid32 + 450)[e]; + } else { + r = (multipliers2_bid32 + 450)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000ull) { + c_prov = 1000000ull; + e_out = e_out + 1; + } else if ((c_prov == 1000000ull) && (e_out == 0)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull)) + || ((rnd_mode + (s & 1) == 2) + && (z.w[4] <= 16602069666338596454ull))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out > 90 + 101) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid32 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if __ENABLE_BINARY80__ + +#if DECIMAL_CALL_BY_REFERENCE +void +binary80_to_bid32 (UINT32 * pres, BINARY80 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + BINARY80 x = *px; +#else +UINT32 +binary80_to_bid32 (BINARY80 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary80 (x, s, e, c.w[0], t, return_bid32_zero (s), + return_bid32_inf (s), return_bid32_nan); + +// Treat like a quad input for uniformity, so (2^{113-64} * c * r) >> 320, +// where 320 is the truncation value for the reciprocal multiples, exactly +// five 64-bit words. So we shift 113-64=49 places +// +// Remember to compensate for the fact that exponents are integer for quad + + c.w[1] = 0; + sll128_short (c.w[1], c.w[0], 49); + t += (113 - 64); + e -= (113 - 64); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 211) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], -e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull)) + return_bid32 (s, 101, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid32[a]; + srl128 (cint.w[1], cint.w[0], t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid32 (s, 101 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -450) + e = -450; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid32 + 450)[e]; + e_out = (exponents_bid32 + 450)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid32 + 450)[e]; + } else { + r = (multipliers2_bid32 + 450)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000ull) { + c_prov = 1000000ull; + e_out = e_out + 1; + } else if ((c_prov == 1000000ull) && (e_out == 0)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull)) + || ((rnd_mode + (s & 1) == 2) + && (z.w[4] <= 16602069666338596454ull))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out > 90 + 101) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid32 (s, e_out, c_prov); +} + +#endif // matches #if __ENABLE_BINARY80__ + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary128_to_bid32 (UINT32 * pres, BINARY128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + BINARY128 x = *px; +#else +UINT32 +binary128_to_bid32 (BINARY128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary128 (x, s, e, c.w[1], c.w[0], t, return_bid32_zero (s), + return_bid32_inf (s), return_bid32_nan); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 211) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], -e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull)) + return_bid32 (s, 101, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid32[a]; + srl128 (cint.w[1], cint.w[0], t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid32 (s, 101 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -450) + e = -450; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid32 + 450)[e]; + e_out = (exponents_bid32 + 450)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid32 + 450)[e]; + } else { + r = (multipliers2_bid32 + 450)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct +// Flag underflow where it may be needed even for |result| = SNN +// This needs to be done in extra precision because of the precision disparity +// and the fact that the breakpoint isn't an exact binary number. + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000ull) { + c_prov = 1000000ull; + e_out = e_out + 1; + } else if ((c_prov == 1000000ull) && (e_out == 0)) { + if ((((rnd_mode & 3) == 0) && + le128 (z.w[4], z.w[3], + 17524406870024074035ull, 3689348814741910323ull)) || + ((rnd_mode + (s & 1) == 2) && + le128 (z.w[4], z.w[3], + 16602069666338596454ull, 7378697629483820646ull))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out > 90 + 101) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid32_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid32 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary32_to_bid64 (UINT64 * pres, float *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + float x = *px; +#else +UINT64 +binary32_to_bid64 (float x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary32 (x, s, e, c.w[1], t, return_bid64_zero (s), + return_bid64_inf (s), return_bid64_nan); + +// Treat like a quad input for uniformity, so (2^{113-24} * c * r) >> 312 +// (312 is the shift value for these tables) which can be written as +// (2^97 c * r) >> 320, lopping off exactly 320 bits = 5 words. Thus we put +// input coefficient as the high part of c (<<64) shifted by 33 bits (<<97) +// +// Remember to compensate for the fact that exponents are integer for quad + + c.w[1] = c.w[1] << 33; + c.w[0] = 0; + t += (113 - 24); + e -= (113 - 24); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 1168) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 8 places to the left in preparation for the reciprocal +// multiplication; thus we add 8 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 8 - e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull)) + return_bid64 (s, 398, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid64[a]; + srl128 (cint.w[1], cint.w[0], 8 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid64 (s, 398 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -1437) + e = -1437; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid64 + 1437)[e]; + e_out = (exponents_bid64 + 1437)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid64 + 1437)[e]; + } else { + r = (multipliers2_bid64 + 1437)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000000000000ull) { + c_prov = 1000000000000000ull; + e_out = e_out + 1; + } + } +// Check for overflow + + if (e_out > 369 + 398) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000000000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid64 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary64_to_bid64 (UINT64 * pres, double *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + double x = *px; +#else +UINT64 +binary64_to_bid64 (double x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary64 (x, s, e, c.w[1], t, return_bid64_zero (s), + return_bid64_inf (s), return_bid64_nan); + +// Treat like a quad input for uniformity, so (2^{113-53} * c * r) >> 312 +// (312 is the shift value for these tables) which can be written as +// (2^68 c * r) >> 320, lopping off exactly 320 bits = 5 words. Thus we put +// input coefficient as the high part of c (<<64) shifted by 4 bits (<<68) +// +// Remember to compensate for the fact that exponents are integer for quad + + c.w[1] = c.w[1] << 4; + c.w[0] = 0; + t += (113 - 53); + e -= (113 - 53); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 1168) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 8 places to the left in preparation for the reciprocal +// multiplication; thus we add 8 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 8 - e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull)) + return_bid64 (s, 398, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid64[a]; + srl128 (cint.w[1], cint.w[0], 8 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid64 (s, 398 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -1437) + e = -1437; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid64 + 1437)[e]; + e_out = (exponents_bid64 + 1437)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid64 + 1437)[e]; + } else { + r = (multipliers2_bid64 + 1437)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000000000000ull) { + c_prov = 1000000000000000ull; + e_out = e_out + 1; + } + } +// Check for overflow + + if (e_out > 369 + 398) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000000000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid64 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if __ENABLE_BINARY80__ + +#if DECIMAL_CALL_BY_REFERENCE +void +binary80_to_bid64 (UINT64 * pres, BINARY80 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + BINARY80 x = *px; +#else +UINT64 +binary80_to_bid64 (BINARY80 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary80 (x, s, e, c.w[1], t, return_bid64_zero (s), + return_bid64_inf (s), return_bid64_nan); + +// Treat like a quad input for uniformity, so (2^{113-64} * c * r) >> 312 +// (312 is the shift value for these tables) which can be written as +// (2^57 c * r) >> 320, lopping off exactly 320 bits = 5 words. Thus we put the +// input in the high part then shift right 7 places + + c.w[0] = 0; + srl128_short (c.w[1], c.w[0], 7); + t += (113 - 64); + e -= (113 - 64); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 1168) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 8 places to the left in preparation for the reciprocal +// multiplication; thus we add 8 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 8 - e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull)) + return_bid64 (s, 398, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid64[a]; + srl128 (cint.w[1], cint.w[0], 8 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid64 (s, 398 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -1437) + e = -1437; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid64 + 1437)[e]; + e_out = (exponents_bid64 + 1437)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid64 + 1437)[e]; + } else { + r = (multipliers2_bid64 + 1437)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000000000000ull) { + c_prov = 1000000000000000ull; + e_out = e_out + 1; + } else if ((c_prov == 1000000000000000ull) && (e_out == 0)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull)) + || ((rnd_mode + (s & 1) == 2) + && (z.w[4] <= 16602069666338596454ull))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out > 369 + 398) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000000000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid64 (s, e_out, c_prov); +} + +#endif // matches #if __ENABLE_BINARY80__ + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary128_to_bid64 (UINT64 * pres, BINARY128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + BINARY128 x = *px; +#else +UINT64 +binary128_to_bid64 (BINARY128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov; + UINT128 m_min; + UINT256 r; + UINT384 z; + + int e, s, t, e_out; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary128 (x, s, e, c.w[1], c.w[0], t, return_bid64_zero (s), + return_bid64_inf (s), return_bid64_nan); + +// Shift left 8 spaces so (c * r) >> 312 = ((c<<8) * r) >> 320 and we +// can lop off exactly 5 words + + sll128_short (c.w[1], c.w[0], 8); + +// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d. +// We actually check if e >= ceil((emax + d) * log_2(10) - 112) +// This could be intercepted later, but it's convenient to keep tables smaller + + if (e >= 1168) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 8 places to the left in preparation for the reciprocal +// multiplication; thus we add 8 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 8 - e); + if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull)) + return_bid64 (s, 398, cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid64[a]; + srl128 (cint.w[1], cint.w[0], 8 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid64 (s, 398 - a, cc.w[0]); + } + } + } +// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4, +// so test e <= floor(emin * log_2(10) - 115) +// In this case just fix ourselves at that value for uniformity. +// +// This is important not only to keep the tables small but to maintain the +// testing of the round/sticky words as a correct rounding method + + if (e <= -1437) + e = -1437; + +// Now look up our exponent e, and the breakpoint between e and e+1 + + m_min = (breakpoints_bid64 + 1437)[e]; + e_out = (exponents_bid64 + 1437)[e]; + +// Choose exponent and reciprocal multiplier based on breakpoint + + if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) { + r = (multipliers1_bid64 + 1437)[e]; + } else { + r = (multipliers2_bid64 + 1437)[e]; + e_out = e_out + 1; + } + +// Do the reciprocal multiplication + + __mul_128x256_to_384 (z, c, r) + c_prov = z.w[5]; + +// Round using round-sticky words +// If we spill over into the next decade, correct +// Flag underflow where it may be needed even for |result| = SNN + + if (lt128 + (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)]. + w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov & 1)].w[0], z.w[4], z.w[3])) { + c_prov = c_prov + 1; + if (c_prov == 10000000000000000ull) { + c_prov = 1000000000000000ull; + e_out = e_out + 1; + } else if ((c_prov == 1000000000000000ull) && (e_out == 0)) { + if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull)) + || ((rnd_mode + (s & 1) == 2) + && (z.w[4] <= 16602069666338596454ull))) + *pfpsf |= UNDERFLOW_EXCEPTION; + } + } +// Check for overflow + + if (e_out > 369 + 398) { + *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + return_bid64_ovf (s); + } +// Set the inexact flag as appropriate and check underflow +// It's no doubt superfluous to check inexactness, but anyway... + + if ((z.w[4] != 0) || (z.w[3] != 0)) { + *pfpsf |= INEXACT_EXCEPTION; + if (c_prov < 1000000000000000ull) + *pfpsf |= UNDERFLOW_EXCEPTION; + } +// Package up the result + + return_bid64 (s, e_out, c_prov); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary32_to_bid128 (UINT128 * pres, float *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + float x = *px; +#else +UINT128 +binary32_to_bid128 (float x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov_hi, c_prov_lo; + UINT256 r; + UINT384 z; + + int e, s, t, e_out, e_plus, e_hi, e_lo, f; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary32 (x, s, e, c.w[1], t, return_bid128_zero (s), + return_bid128_inf (s), return_bid128_nan); + +// Shift up to the top: like a pure quad coefficient with a shift of 15. +// In our case, this is 2^{113-24+15} times the core, so unpack at the +// high end shifted by 40. + + c.w[0] = 0; + c.w[1] = c.w[1] << 40; + + t += (113 - 24); + e -= (113 - 24); + +// (We never need to check for overflow: this format is the biggest of all!) + +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 15 places to the left in preparation for the reciprocal +// multiplication; thus we add 15 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 15 - e); + if (lt128 (cint.w[1], cint.w[0], + 542101086242752ull, 4003012203950112768ull)) + return_bid128 (s, 6176, cint.w[1], cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid128[a]; + srl128 (cint.w[1], cint.w[0], 15 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]); + } + } + } +// Input exponent can stretch between the maximal and minimal +// exponents (remembering we force normalization): -16607 <= e <= 16271 + +// Compute the estimated decimal exponent e_out; the provisional exponent +// will be either "e_out" or "e_out-1" depending on later significand check +// NB: this is the *biased* exponent + + e_plus = e + 42152; + e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512; + +// Set up pointers into the bipartite table + + e_hi = 11232 - e_out; + e_lo = e_hi & 127; + e_hi = e_hi >> 7; + +// Look up the inner entry first + + r = innertable_sig[e_lo], f = innertable_exp[e_lo]; + +// If we need the other entry, multiply significands and add exponents + + if (e_hi != 39) { + UINT256 s = outertable_sig[e_hi]; + UINT512 t; + f = f + 256 + outertable_exp[e_hi]; + __mul_256x256_to_512 (t, r, s); + r.w[0] = t.w[4] + 1, r.w[1] = t.w[5], + r.w[2] = t.w[6], r.w[3] = t.w[7]; + } + + __mul_128x256_to_384 (z, c, r); + +// Make adjustive shift, ignoring the lower 128 bits + + e = -(241 + e + f); + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e); + +// Now test against 10^33 and so decide on adjustment +// I feel there ought to be a smarter way of doing the multiplication + + if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) { + __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4], + z.w[3], z.w[2]); + e_out = e_out - 1; + } +// Set up provisional results + + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) + c_prov_hi = c_prov_hi + 1; + else if ((c_prov_lo == 4003012203950112768ull) && + (c_prov_hi == 542101086242752ull)) { + c_prov_hi = 54210108624275ull; + c_prov_lo = 4089650035136921600ull; + e_out = e_out + 1; + } + } +// Don't need to check overflow or underflow; however set inexact flag + + if ((z.w[3] != 0) || (z.w[2] != 0)) + *pfpsf |= INEXACT_EXCEPTION; + +// Package up the result + + return_bid128 (s, e_out, c_prov_hi, c_prov_lo); +} + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary64_to_bid128 (UINT128 * pres, double *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + double x = *px; +#else +UINT128 +binary64_to_bid128 (double x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov_hi, c_prov_lo; + UINT256 r; + UINT384 z; + + int e, s, t, e_out, e_plus, e_hi, e_lo, f; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary64 (x, s, e, c.w[1], t, return_bid128_zero (s), + return_bid128_inf (s), return_bid128_nan); + +// Shift up to the top: like a pure quad coefficient with a shift of 15. +// In our case, this is 2^{113-53+15} times the core, so unpack at the +// high end shifted by 11. + + c.w[0] = 0; + c.w[1] = c.w[1] << 11; + + t += (113 - 53); + e -= (113 - 53); + +// (We never need to check for overflow: this format is the biggest of all!) + +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 15 places to the left in preparation for the reciprocal +// multiplication; thus we add 15 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 15 - e); + if (lt128 (cint.w[1], cint.w[0], + 542101086242752ull, 4003012203950112768ull)) + return_bid128 (s, 6176, cint.w[1], cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid128[a]; + srl128 (cint.w[1], cint.w[0], 15 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]); + } + } + } +// Input exponent can stretch between the maximal and minimal +// exponents (remembering we force normalization): -16607 <= e <= 16271 + +// Compute the estimated decimal exponent e_out; the provisional exponent +// will be either "e_out" or "e_out-1" depending on later significand check +// NB: this is the *biased* exponent + + e_plus = e + 42152; + e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512; + +// Set up pointers into the bipartite table + + e_hi = 11232 - e_out; + e_lo = e_hi & 127; + e_hi = e_hi >> 7; + +// Look up the inner entry first + + r = innertable_sig[e_lo], f = innertable_exp[e_lo]; + +// If we need the other entry, multiply significands and add exponents + + if (e_hi != 39) { + UINT256 s = outertable_sig[e_hi]; + UINT512 t; + f = f + 256 + outertable_exp[e_hi]; + __mul_256x256_to_512 (t, r, s); + r.w[0] = t.w[4] + 1, r.w[1] = t.w[5], + r.w[2] = t.w[6], r.w[3] = t.w[7]; + } + + __mul_128x256_to_384 (z, c, r); + +// Make adjustive shift, ignoring the lower 128 bits + + e = -(241 + e + f); + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e); + +// Now test against 10^33 and so decide on adjustment +// I feel there ought to be a smarter way of doing the multiplication + + if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) { + __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4], + z.w[3], z.w[2]); + e_out = e_out - 1; + } +// Set up provisional results + + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) + c_prov_hi = c_prov_hi + 1; + else if ((c_prov_lo == 4003012203950112768ull) && + (c_prov_hi == 542101086242752ull)) { + c_prov_hi = 54210108624275ull; + c_prov_lo = 4089650035136921600ull; + e_out = e_out + 1; + } + } +// Don't need to check overflow or underflow; however set inexact flag + + if ((z.w[3] != 0) || (z.w[2] != 0)) + *pfpsf |= INEXACT_EXCEPTION; + +// Package up the result + + return_bid128 (s, e_out, c_prov_hi, c_prov_lo); +} + +// ********************************************************************** + +#if __ENABLE_BINARY80__ + +#if DECIMAL_CALL_BY_REFERENCE +void +binary80_to_bid128 (UINT128 * pres, BINARY80 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + BINARY80 x = *px; +#else +UINT128 +binary80_to_bid128 (BINARY80 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov_hi, c_prov_lo; + UINT256 r; + UINT384 z; + + int e, s, t, e_out, e_plus, e_hi, e_lo, f; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary80 (x, s, e, c.w[1], t, return_bid128_zero (s), + return_bid128_inf (s), return_bid128_nan); + +// Treat like a pure quad coefficient with a shift of 15. We get this +// just by unpacking at the high end + + c.w[0] = 0; + + t += (113 - 64); + e -= (113 - 64); + +// (We never need to check for overflow: this format is the biggest of all!) + +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 15 places to the left in preparation for the reciprocal +// multiplication; thus we add 15 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 15 - e); + if (lt128 (cint.w[1], cint.w[0], + 542101086242752ull, 4003012203950112768ull)) + return_bid128 (s, 6176, cint.w[1], cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid128[a]; + srl128 (cint.w[1], cint.w[0], 15 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]); + } + } + } +// Input exponent can stretch between the maximal and minimal +// exponents (remembering we force normalization): -16607 <= e <= 16271 + +// Compute the estimated decimal exponent e_out; the provisional exponent +// will be either "e_out" or "e_out-1" depending on later significand check +// NB: this is the *biased* exponent + + e_plus = e + 42152; + e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512; + +// Set up pointers into the bipartite table + + e_hi = 11232 - e_out; + e_lo = e_hi & 127; + e_hi = e_hi >> 7; + +// Look up the inner entry first + + r = innertable_sig[e_lo], f = innertable_exp[e_lo]; + +// If we need the other entry, multiply significands and add exponents + + if (e_hi != 39) { + UINT256 s = outertable_sig[e_hi]; + UINT512 t; + f = f + 256 + outertable_exp[e_hi]; + __mul_256x256_to_512 (t, r, s); + r.w[0] = t.w[4] + 1, r.w[1] = t.w[5], + r.w[2] = t.w[6], r.w[3] = t.w[7]; + } + + __mul_128x256_to_384 (z, c, r); + +// Make adjustive shift, ignoring the lower 128 bits + + e = -(241 + e + f); + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e); + +// Now test against 10^33 and so decide on adjustment +// I feel there ought to be a smarter way of doing the multiplication + + if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) { + __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4], + z.w[3], z.w[2]); + e_out = e_out - 1; + } +// Set up provisional results + + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) + c_prov_hi = c_prov_hi + 1; + else if ((c_prov_lo == 4003012203950112768ull) && + (c_prov_hi == 542101086242752ull)) { + c_prov_hi = 54210108624275ull; + c_prov_lo = 4089650035136921600ull; + e_out = e_out + 1; + } + } +// Don't need to check overflow or underflow; however set inexact flag + + if ((z.w[3] != 0) || (z.w[2] != 0)) + *pfpsf |= INEXACT_EXCEPTION; + +// Package up the result + + return_bid128 (s, e_out, c_prov_hi, c_prov_lo); +} + +#endif // matches #if __ENABLE_BINARY80__ + +// ********************************************************************** + +#if DECIMAL_CALL_BY_REFERENCE +void +binary128_to_bid128 (UINT128 * pres, BINARY128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + BINARY128 x = *px; +#else +UINT128 +binary128_to_bid128 (BINARY128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT128 c; + UINT64 c_prov_hi, c_prov_lo; + UINT256 r; + UINT384 z; + + int e, s, t, e_out, e_plus, e_hi, e_lo, f; + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round rnd_mode = *prnd_mode; +#endif +#endif + +// Unpack the input + + unpack_binary128 (x, s, e, c.w[1], c.w[0], t, return_bid128_zero (s), + return_bid128_inf (s), return_bid128_nan); + +// Shift up 15 places to move to the top + + sll128_short (c.w[1], c.w[0], 15); + +// (We never need to check for overflow: this format is the biggest of all!) + +// Now filter out all the exact cases where we need to specially force +// the exponent to 0. We can let through inexact cases and those where the +// main path will do the right thing anyway, e.g. integers outside coeff range. +// +// First check that e <= 0, because if e > 0, the input must be >= 2^113, +// which is too large for the coefficient of any target decimal format. +// We write a = -(e + t) +// +// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially +// iff it fits in the coefficient range. Shift c' = c >> -e, and +// compare with the coefficient range; if it's in range then c' is +// our coefficient, exponent is 0. Otherwise we pass through. +// +// (2) If a > 0 then we have a non-integer input. The special case would +// arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now +// if a > 48 we can immediately forget this, since 5^49 > 10^34. +// Otherwise we determine whether we're in range by a table based on +// a, and if so get the multiplier also from a table based on a. +// +// Note that when we shift, we need to take into account the fact that +// c is already 15 places to the left in preparation for the reciprocal +// multiplication; thus we add 15 to all the shift counts + + if (e <= 0) { + UINT128 cint; + int a = -(e + t); + cint.w[1] = c.w[1], cint.w[0] = c.w[0]; + if (a <= 0) { + srl128 (cint.w[1], cint.w[0], 15 - e); + if (lt128 (cint.w[1], cint.w[0], + 542101086242752ull, 4003012203950112768ull)) + return_bid128 (s, 6176, cint.w[1], cint.w[0]); + } else if (a <= 48) { + UINT128 pow5 = coefflimits_bid128[a]; + srl128 (cint.w[1], cint.w[0], 15 + t); + if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) { + UINT128 cc; + cc.w[1] = cint.w[1]; + cc.w[0] = cint.w[0]; + pow5 = power_five[a]; + __mul_128x128_low (cc, cc, pow5); + return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]); + } + } + } +// Input exponent can stretch between the maximal and minimal +// exponents (remembering we force normalization): -16607 <= e <= 16271 + +// Compute the estimated decimal exponent e_out; the provisional exponent +// will be either "e_out" or "e_out-1" depending on later significand check +// NB: this is the *biased* exponent + + e_plus = e + 42152; + e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512; + +// Set up pointers into the bipartite table + + e_hi = 11232 - e_out; + e_lo = e_hi & 127; + e_hi = e_hi >> 7; + +// Look up the inner entry first + + r = innertable_sig[e_lo], f = innertable_exp[e_lo]; + +// If we need the other entry, multiply significands and add exponents + + if (e_hi != 39) { + UINT256 s = outertable_sig[e_hi]; + UINT512 t; + f = f + 256 + outertable_exp[e_hi]; + __mul_256x256_to_512 (t, r, s); + // *** NB I should run an exhaustive check this +1 doesn't overflow + r.w[0] = t.w[4] + 1, r.w[1] = t.w[5], + r.w[2] = t.w[6], r.w[3] = t.w[7]; + } + + __mul_128x256_to_384 (z, c, r); + +// Make adjustive shift, ignoring the lower 128 bits + + e = -(241 + e + f); + srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e); + +// Now test against 10^33 and so decide on adjustment +// I feel there ought to be a smarter way of doing the multiplication + + if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) { + __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4], + z.w[3], z.w[2]); + e_out = e_out - 1; + } +// Set up provisional results + + c_prov_hi = z.w[5]; + c_prov_lo = z.w[4]; + +// Round using round-sticky words +// If we spill over into the next decade, correct + + if (lt128 + (roundbound_128 + [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1], + roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + + (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) { + c_prov_lo = c_prov_lo + 1; + if (c_prov_lo == 0) + c_prov_hi = c_prov_hi + 1; + else if ((c_prov_lo == 4003012203950112768ull) && + (c_prov_hi == 542101086242752ull)) { + c_prov_hi = 54210108624275ull; + c_prov_lo = 4089650035136921600ull; + e_out = e_out + 1; + } + } +// Don't need to check overflow or underflow; however set inexact flag + + if ((z.w[3] != 0) || (z.w[2] != 0)) + *pfpsf |= INEXACT_EXCEPTION; + +// Package up the result + + return_bid128 (s, e_out, c_prov_hi, c_prov_lo); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_conf.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_conf.h new file mode 100644 index 0000000000..676b098509 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_conf.h @@ -0,0 +1,1171 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _BID_CONF_H +#define _BID_CONF_H + +// Name Changes + +#define _IDEC_glbflags __bid_IDEC_glbflags +#define _IDEC_glbround __bid_IDEC_glbround +#define _IDEC_glbexcepthandling __bid_IDEC_glbexcepthandling +#define _IDEC_glbexceptionmasks __bid_IDEC_glbexceptionmasks +#define bid64_add __bid64_add +#define bid64_sub __bid64_sub +#define bid64_mul __bid64_mul +#define bid64_div __bid64_div +#define bid64dq_div __bid64dq_div +#define bid64qd_div __bid64qd_div +#define bid64qq_div __bid64qq_div +#define bid64q_sqrt __bid64q_sqrt +#define bid64_sqrt __bid64_sqrt +#define bid64_rem __bid64_rem +#define bid64_fma __bid64_fma +#define bid64_scalb __bid64_scalb +#define round128_19_38 __bid_round128_19_38 +#define round192_39_57 __bid_round192_39_57 +#define round256_58_76 __bid_round256_58_76 +#define round64_2_18 __bid_round64_2_18 +#define bid64_nextafter __bid64_nextafter +#define bid64_nextdown __bid64_nextdown +#define bid64_nextup __bid64_nextup +#define b2d __bid_b2d +#define b2d2 __bid_b2d2 +#define b2d3 __bid_b2d3 +#define b2d4 __bid_b2d4 +#define b2d5 __bid_b2d5 +#define bid128_canonize __bid128_canonize +#define bid32_canonize __bid32_canonize +#define bid64_canonize __bid64_canonize +#define bid_to_bid128 __bid_to_bid128 +#define bid_to_bid32 __bid_to_bid32 +#define bid_to_bid64 __bid_to_bid64 +#define bid_to_dpd128 __bid_to_dpd128 +#define bid_to_dpd32 __bid_to_dpd32 +#define bid_to_dpd64 __bid_to_dpd64 +#define d2b __bid_d2b +#define d2b2 __bid_d2b2 +#define d2b3 __bid_d2b3 +#define d2b4 __bid_d2b4 +#define d2b5 __bid_d2b5 +#define d2b6 __bid_d2b6 +#define dpd_to_bid128 __bid_dpd_to_bid128 +#define dpd_to_bid32 __bid_dpd_to_bid32 +#define dpd_to_bid64 __bid_dpd_to_bid64 +#define bid128_nextafter __bid128_nextafter +#define bid128_nextdown __bid128_nextdown +#define bid128_nextup __bid128_nextup +#define bid64_logb __bid64_logb +#define bid64_quantize __bid64_quantize +#define estimate_bin_expon __bid_estimate_bin_expon +#define estimate_decimal_digits __bid_estimate_decimal_digits +#define power10_index_binexp __bid_power10_index_binexp +#define power10_index_binexp_128 __bid_power10_index_binexp_128 +#define power10_table_128 __bid_power10_table_128 +#define reciprocals10_128 __bid_reciprocals10_128 +#define reciprocals10_64 __bid_reciprocals10_64 +#define recip_scale __bid_recip_scale +#define round_const_table __bid_round_const_table +#define round_const_table_128 __bid_round_const_table_128 +#define short_recip_scale __bid_short_recip_scale +#define bid64_from_string __bid64_from_string +#define bid64_to_string __bid64_to_string +#define Inv_Tento9 __bid_Inv_Tento9 +#define midi_tbl __bid_midi_tbl +#define Tento3 __bid_Tento3 +#define Tento6 __bid_Tento6 +#define Tento9 __bid_Tento9 +#define Twoto30_m_10to9 __bid_Twoto30_m_10to9 +#define Twoto60 __bid_Twoto60 +#define Twoto60_m_10to18 __bid_Twoto60_m_10to18 +#define convert_table __bid_convert_table +#define factors __bid_factors +#define packed_10000_zeros __bid_packed_10000_zeros +#define char_table2 __bid_char_table2 +#define char_table3 __bid_char_table3 +#define Ex128m128 __bid_Ex128m128 +#define Ex192m192 __bid_Ex192m192 +#define Ex256m256 __bid_Ex256m256 +#define Ex64m64 __bid_Ex64m64 +#define half128 __bid_half128 +#define half192 __bid_half192 +#define half256 __bid_half256 +#define half64 __bid_half64 +#define Kx128 __bid_Kx128 +#define Kx192 __bid_Kx192 +#define Kx256 __bid_Kx256 +#define Kx64 __bid_Kx64 +#define mask128 __bid_mask128 +#define mask192 __bid_mask192 +#define mask256 __bid_mask256 +#define mask64 __bid_mask64 +#define maskhigh128 __bid_maskhigh128 +#define maskhigh128M __bid_maskhigh128M +#define maskhigh192M __bid_maskhigh192M +#define maskhigh256M __bid_maskhigh256M +#define midpoint128 __bid_midpoint128 +#define midpoint192 __bid_midpoint192 +#define midpoint256 __bid_midpoint256 +#define midpoint64 __bid_midpoint64 +#define nr_digits __bid_nr_digits +#define onehalf128 __bid_onehalf128 +#define onehalf128M __bid_onehalf128M +#define onehalf192M __bid_onehalf192M +#define onehalf256M __bid_onehalf256M +#define shiftright128 __bid_shiftright128 +#define shiftright128M __bid_shiftright128M +#define shiftright192M __bid_shiftright192M +#define shiftright256M __bid_shiftright256M +#define shift_ten2m3k128 __bid_shift_ten2m3k128 +#define shift_ten2m3k64 __bid_shift_ten2m3k64 +#define ten2k128 __bid_ten2k128 +#define ten2k256 __bid_ten2k256 +#define ten2k64 __bid_ten2k64 +#define ten2m3k128 __bid_ten2m3k128 +#define ten2m3k64 __bid_ten2m3k64 +#define ten2mk128 __bid_ten2mk128 +#define ten2mk128M __bid_ten2mk128M +#define ten2mk128trunc __bid_ten2mk128trunc +#define ten2mk128truncM __bid_ten2mk128truncM +#define ten2mk192M __bid_ten2mk192M +#define ten2mk192truncM __bid_ten2mk192truncM +#define ten2mk256M __bid_ten2mk256M +#define ten2mk256truncM __bid_ten2mk256truncM +#define ten2mk64 __bid_ten2mk64 +#define ten2mxtrunc128 __bid_ten2mxtrunc128 +#define ten2mxtrunc192 __bid_ten2mxtrunc192 +#define ten2mxtrunc256 __bid_ten2mxtrunc256 +#define ten2mxtrunc64 __bid_ten2mxtrunc64 +#define bid128_add __bid128_add +#define bid128dd_add __bid128dd_add +#define bid128dd_sub __bid128dd_sub +#define bid128dq_add __bid128dq_add +#define bid128dq_sub __bid128dq_sub +#define bid128qd_add __bid128qd_add +#define bid128qd_sub __bid128qd_sub +#define bid128_sub __bid128_sub +#define bid64dq_add __bid64dq_add +#define bid64dq_sub __bid64dq_sub +#define bid64qd_add __bid64qd_add +#define bid64qd_sub __bid64qd_sub +#define bid64qq_add __bid64qq_add +#define bid64qq_sub __bid64qq_sub +#define bid128dd_mul __bid128dd_mul +#define bid128dq_mul __bid128dq_mul +#define bid128_mul __bid128_mul +#define bid128qd_mul __bid128qd_mul +#define bid64dq_mul __bid64dq_mul +#define bid64qd_mul __bid64qd_mul +#define bid64qq_mul __bid64qq_mul +#define bid128dd_div __bid128dd_div +#define bid128_div __bid128_div +#define bid128dq_div __bid128dq_div +#define bid128qd_div __bid128qd_div +#define bid128d_sqrt __bid128d_sqrt +#define bid128_sqrt __bid128_sqrt +#define bid128ddd_fma __bid128ddd_fma +#define bid128ddq_fma __bid128ddq_fma +#define bid128dqd_fma __bid128dqd_fma +#define bid128dqq_fma __bid128dqq_fma +#define bid128_fma __bid128_fma +#define bid128qdd_fma __bid128qdd_fma +#define bid128qdq_fma __bid128qdq_fma +#define bid128qqd_fma __bid128qqd_fma +#define bid64ddq_fma __bid64ddq_fma +#define bid64dqd_fma __bid64dqd_fma +#define bid64dqq_fma __bid64dqq_fma +#define bid64qdd_fma __bid64qdd_fma +#define bid64qdq_fma __bid64qdq_fma +#define bid64qqd_fma __bid64qqd_fma +#define bid64qqq_fma __bid64qqq_fma +#define bid128_round_integral_exact __bid128_round_integral_exact +#define bid128_round_integral_nearest_away __bid128_round_integral_nearest_away +#define bid128_round_integral_nearest_even __bid128_round_integral_nearest_even +#define bid128_round_integral_negative __bid128_round_integral_negative +#define bid128_round_integral_positive __bid128_round_integral_positive +#define bid128_round_integral_zero __bid128_round_integral_zero +#define bid64_round_integral_exact __bid64_round_integral_exact +#define bid64_round_integral_nearest_away __bid64_round_integral_nearest_away +#define bid64_round_integral_nearest_even __bid64_round_integral_nearest_even +#define bid64_round_integral_negative __bid64_round_integral_negative +#define bid64_round_integral_positive __bid64_round_integral_positive +#define bid64_round_integral_zero __bid64_round_integral_zero +#define bid128_quantize __bid128_quantize +#define bid128_scalb __bid128_scalb +#define bid64_maxnum __bid64_maxnum +#define bid64_maxnum_mag __bid64_maxnum_mag +#define bid64_minnum __bid64_minnum +#define bid64_minnum_mag __bid64_minnum_mag +#define bid128_maxnum __bid128_maxnum +#define bid128_maxnum_mag __bid128_maxnum_mag +#define bid128_minnum __bid128_minnum +#define bid128_minnum_mag __bid128_minnum_mag +#define bid128_rem __bid128_rem +#define bid128_logb __bid128_logb +#define getDecimalRoundingDirection __bid_getDecimalRoundingDirection +#define is754 __bid_is754 +#define is754R __bid_is754R +#define signalException __bid_signalException +#define lowerFlags __bid_lowerFlags +#define restoreFlags __bid_restoreFlags +#define saveFlags __bid_saveFlags +#define setDecimalRoundingDirection __bid_setDecimalRoundingDirection +#define testFlags __bid_testFlags +#define testSavedFlags __bid_testSavedFlags +#define bid32_to_bid64 __bid32_to_bid64 +#define bid64_to_bid32 __bid64_to_bid32 +#define bid128_to_string __bid128_to_string +#define mod10_18_tbl __bid_mod10_18_tbl +#define bid128_to_bid32 __bid128_to_bid32 +#define bid32_to_bid128 __bid32_to_bid128 +#define bid128_to_bid64 __bid128_to_bid64 +#define bid64_to_bid128 __bid64_to_bid128 +#define bid128_from_string __bid128_from_string +#define bid128_from_int32 __bid128_from_int32 +#define bid128_from_int64 __bid128_from_int64 +#define bid128_from_uint32 __bid128_from_uint32 +#define bid128_from_uint64 __bid128_from_uint64 +#define bid64_from_int32 __bid64_from_int32 +#define bid64_from_int64 __bid64_from_int64 +#define bid64_from_uint32 __bid64_from_uint32 +#define bid64_from_uint64 __bid64_from_uint64 +#define bid64_abs __bid64_abs +#define bid64_class __bid64_class +#define bid64_copy __bid64_copy +#define bid64_copySign __bid64_copySign +#define bid64_isCanonical __bid64_isCanonical +#define bid64_isFinite __bid64_isFinite +#define bid64_isInf __bid64_isInf +#define bid64_isNaN __bid64_isNaN +#define bid64_isNormal __bid64_isNormal +#define bid64_isSignaling __bid64_isSignaling +#define bid64_isSigned __bid64_isSigned +#define bid64_isSubnormal __bid64_isSubnormal +#define bid64_isZero __bid64_isZero +#define bid64_negate __bid64_negate +#define bid64_radix __bid64_radix +#define bid64_sameQuantum __bid64_sameQuantum +#define bid64_totalOrder __bid64_totalOrder +#define bid64_totalOrderMag __bid64_totalOrderMag +#define bid128_abs __bid128_abs +#define bid128_class __bid128_class +#define bid128_copy __bid128_copy +#define bid128_copySign __bid128_copySign +#define bid128_isCanonical __bid128_isCanonical +#define bid128_isFinite __bid128_isFinite +#define bid128_isInf __bid128_isInf +#define bid128_isNaN __bid128_isNaN +#define bid128_isNormal __bid128_isNormal +#define bid128_isSignaling __bid128_isSignaling +#define bid128_isSigned __bid128_isSigned +#define bid128_isSubnormal __bid128_isSubnormal +#define bid128_isZero __bid128_isZero +#define bid128_negate __bid128_negate +#define bid128_radix __bid128_radix +#define bid128_sameQuantum __bid128_sameQuantum +#define bid128_totalOrder __bid128_totalOrder +#define bid128_totalOrderMag __bid128_totalOrderMag +#define bid64_quiet_equal __bid64_quiet_equal +#define bid64_quiet_greater __bid64_quiet_greater +#define bid64_quiet_greater_equal __bid64_quiet_greater_equal +#define bid64_quiet_greater_unordered __bid64_quiet_greater_unordered +#define bid64_quiet_less __bid64_quiet_less +#define bid64_quiet_less_equal __bid64_quiet_less_equal +#define bid64_quiet_less_unordered __bid64_quiet_less_unordered +#define bid64_quiet_not_equal __bid64_quiet_not_equal +#define bid64_quiet_not_greater __bid64_quiet_not_greater +#define bid64_quiet_not_less __bid64_quiet_not_less +#define bid64_quiet_ordered __bid64_quiet_ordered +#define bid64_quiet_unordered __bid64_quiet_unordered +#define bid64_signaling_greater __bid64_signaling_greater +#define bid64_signaling_greater_equal __bid64_signaling_greater_equal +#define bid64_signaling_greater_unordered __bid64_signaling_greater_unordered +#define bid64_signaling_less __bid64_signaling_less +#define bid64_signaling_less_equal __bid64_signaling_less_equal +#define bid64_signaling_less_unordered __bid64_signaling_less_unordered +#define bid64_signaling_not_greater __bid64_signaling_not_greater +#define bid64_signaling_not_less __bid64_signaling_not_less +#define bid128_quiet_equal __bid128_quiet_equal +#define bid128_quiet_greater __bid128_quiet_greater +#define bid128_quiet_greater_equal __bid128_quiet_greater_equal +#define bid128_quiet_greater_unordered __bid128_quiet_greater_unordered +#define bid128_quiet_less __bid128_quiet_less +#define bid128_quiet_less_equal __bid128_quiet_less_equal +#define bid128_quiet_less_unordered __bid128_quiet_less_unordered +#define bid128_quiet_not_equal __bid128_quiet_not_equal +#define bid128_quiet_not_greater __bid128_quiet_not_greater +#define bid128_quiet_not_less __bid128_quiet_not_less +#define bid128_quiet_ordered __bid128_quiet_ordered +#define bid128_quiet_unordered __bid128_quiet_unordered +#define bid128_signaling_greater __bid128_signaling_greater +#define bid128_signaling_greater_equal __bid128_signaling_greater_equal +#define bid128_signaling_greater_unordered __bid128_signaling_greater_unordered +#define bid128_signaling_less __bid128_signaling_less +#define bid128_signaling_less_equal __bid128_signaling_less_equal +#define bid128_signaling_less_unordered __bid128_signaling_less_unordered +#define bid128_signaling_not_greater __bid128_signaling_not_greater +#define bid128_signaling_not_less __bid128_signaling_not_less +#define bid64_to_int32_ceil __bid64_to_int32_ceil +#define bid64_to_int32_floor __bid64_to_int32_floor +#define bid64_to_int32_int __bid64_to_int32_int +#define bid64_to_int32_rnint __bid64_to_int32_rnint +#define bid64_to_int32_rninta __bid64_to_int32_rninta +#define bid64_to_int32_xceil __bid64_to_int32_xceil +#define bid64_to_int32_xfloor __bid64_to_int32_xfloor +#define bid64_to_int32_xint __bid64_to_int32_xint +#define bid64_to_int32_xrnint __bid64_to_int32_xrnint +#define bid64_to_int32_xrninta __bid64_to_int32_xrninta +#define bid64_to_uint32_ceil __bid64_to_uint32_ceil +#define bid64_to_uint32_floor __bid64_to_uint32_floor +#define bid64_to_uint32_int __bid64_to_uint32_int +#define bid64_to_uint32_rnint __bid64_to_uint32_rnint +#define bid64_to_uint32_rninta __bid64_to_uint32_rninta +#define bid64_to_uint32_xceil __bid64_to_uint32_xceil +#define bid64_to_uint32_xfloor __bid64_to_uint32_xfloor +#define bid64_to_uint32_xint __bid64_to_uint32_xint +#define bid64_to_uint32_xrnint __bid64_to_uint32_xrnint +#define bid64_to_uint32_xrninta __bid64_to_uint32_xrninta +#define bid64_to_int64_ceil __bid64_to_int64_ceil +#define bid64_to_int64_floor __bid64_to_int64_floor +#define bid64_to_int64_int __bid64_to_int64_int +#define bid64_to_int64_rnint __bid64_to_int64_rnint +#define bid64_to_int64_rninta __bid64_to_int64_rninta +#define bid64_to_int64_xceil __bid64_to_int64_xceil +#define bid64_to_int64_xfloor __bid64_to_int64_xfloor +#define bid64_to_int64_xint __bid64_to_int64_xint +#define bid64_to_int64_xrnint __bid64_to_int64_xrnint +#define bid64_to_int64_xrninta __bid64_to_int64_xrninta +#define bid64_to_uint64_ceil __bid64_to_uint64_ceil +#define bid64_to_uint64_floor __bid64_to_uint64_floor +#define bid64_to_uint64_int __bid64_to_uint64_int +#define bid64_to_uint64_rnint __bid64_to_uint64_rnint +#define bid64_to_uint64_rninta __bid64_to_uint64_rninta +#define bid64_to_uint64_xceil __bid64_to_uint64_xceil +#define bid64_to_uint64_xfloor __bid64_to_uint64_xfloor +#define bid64_to_uint64_xint __bid64_to_uint64_xint +#define bid64_to_uint64_xrnint __bid64_to_uint64_xrnint +#define bid64_to_uint64_xrninta __bid64_to_uint64_xrninta +#define bid128_to_int32_ceil __bid128_to_int32_ceil +#define bid128_to_int32_floor __bid128_to_int32_floor +#define bid128_to_int32_int __bid128_to_int32_int +#define bid128_to_int32_rnint __bid128_to_int32_rnint +#define bid128_to_int32_rninta __bid128_to_int32_rninta +#define bid128_to_int32_xceil __bid128_to_int32_xceil +#define bid128_to_int32_xfloor __bid128_to_int32_xfloor +#define bid128_to_int32_xint __bid128_to_int32_xint +#define bid128_to_int32_xrnint __bid128_to_int32_xrnint +#define bid128_to_int32_xrninta __bid128_to_int32_xrninta +#define bid128_to_uint32_ceil __bid128_to_uint32_ceil +#define bid128_to_uint32_floor __bid128_to_uint32_floor +#define bid128_to_uint32_int __bid128_to_uint32_int +#define bid128_to_uint32_rnint __bid128_to_uint32_rnint +#define bid128_to_uint32_rninta __bid128_to_uint32_rninta +#define bid128_to_uint32_xceil __bid128_to_uint32_xceil +#define bid128_to_uint32_xfloor __bid128_to_uint32_xfloor +#define bid128_to_uint32_xint __bid128_to_uint32_xint +#define bid128_to_uint32_xrnint __bid128_to_uint32_xrnint +#define bid128_to_uint32_xrninta __bid128_to_uint32_xrninta +#define bid128_to_int64_ceil __bid128_to_int64_ceil +#define bid128_to_int64_floor __bid128_to_int64_floor +#define bid128_to_int64_int __bid128_to_int64_int +#define bid128_to_int64_rnint __bid128_to_int64_rnint +#define bid128_to_int64_rninta __bid128_to_int64_rninta +#define bid128_to_int64_xceil __bid128_to_int64_xceil +#define bid128_to_int64_xfloor __bid128_to_int64_xfloor +#define bid128_to_int64_xint __bid128_to_int64_xint +#define bid128_to_int64_xrnint __bid128_to_int64_xrnint +#define bid128_to_int64_xrninta __bid128_to_int64_xrninta +#define bid128_to_uint64_ceil __bid128_to_uint64_ceil +#define bid128_to_uint64_floor __bid128_to_uint64_floor +#define bid128_to_uint64_int __bid128_to_uint64_int +#define bid128_to_uint64_rnint __bid128_to_uint64_rnint +#define bid128_to_uint64_rninta __bid128_to_uint64_rninta +#define bid128_to_uint64_xceil __bid128_to_uint64_xceil +#define bid128_to_uint64_xfloor __bid128_to_uint64_xfloor +#define bid128_to_uint64_xint __bid128_to_uint64_xint +#define bid128_to_uint64_xrnint __bid128_to_uint64_xrnint +#define bid128_to_uint64_xrninta __bid128_to_uint64_xrninta +#define bid128_to_binary128 __bid128_to_binary128 +#define bid128_to_binary32 __bid128_to_binary32 +#define bid128_to_binary64 __bid128_to_binary64 +#define bid128_to_binary80 __bid128_to_binary80 +#define bid32_to_binary128 __bid32_to_binary128 +#define bid32_to_binary32 __bid32_to_binary32 +#define bid32_to_binary64 __bid32_to_binary64 +#define bid32_to_binary80 __bid32_to_binary80 +#define bid64_to_binary128 __bid64_to_binary128 +#define bid64_to_binary32 __bid64_to_binary32 +#define bid64_to_binary64 __bid64_to_binary64 +#define bid64_to_binary80 __bid64_to_binary80 +#define binary128_to_bid128 __binary128_to_bid128 +#define binary128_to_bid32 __binary128_to_bid32 +#define binary128_to_bid64 __binary128_to_bid64 +#define binary32_to_bid128 __binary32_to_bid128 +#define binary32_to_bid32 __binary32_to_bid32 +#define binary32_to_bid64 __binary32_to_bid64 +#define binary64_to_bid128 __binary64_to_bid128 +#define binary64_to_bid32 __binary64_to_bid32 +#define binary64_to_bid64 __binary64_to_bid64 +#define binary80_to_bid128 __binary80_to_bid128 +#define binary80_to_bid32 __binary80_to_bid32 +#define binary80_to_bid64 __binary80_to_bid64 +#define bid64_to_uint16_ceil __bid64_to_uint16_ceil +#define bid64_to_uint16_floor __bid64_to_uint16_floor +#define bid64_to_uint16_int __bid64_to_uint16_int +#define bid64_to_uint16_rnint __bid64_to_uint16_rnint +#define bid64_to_uint16_rninta __bid64_to_uint16_rninta +#define bid64_to_uint16_xceil __bid64_to_uint16_xceil +#define bid64_to_uint16_xfloor __bid64_to_uint16_xfloor +#define bid64_to_uint16_xint __bid64_to_uint16_xint +#define bid64_to_uint16_xrnint __bid64_to_uint16_xrnint +#define bid64_to_uint16_xrninta __bid64_to_uint16_xrninta +#define bid64_to_int16_ceil __bid64_to_int16_ceil +#define bid64_to_int16_floor __bid64_to_int16_floor +#define bid64_to_int16_int __bid64_to_int16_int +#define bid64_to_int16_rnint __bid64_to_int16_rnint +#define bid64_to_int16_rninta __bid64_to_int16_rninta +#define bid64_to_int16_xceil __bid64_to_int16_xceil +#define bid64_to_int16_xfloor __bid64_to_int16_xfloor +#define bid64_to_int16_xint __bid64_to_int16_xint +#define bid64_to_int16_xrnint __bid64_to_int16_xrnint +#define bid64_to_int16_xrninta __bid64_to_int16_xrninta +#define bid128_to_uint16_ceil __bid128_to_uint16_ceil +#define bid128_to_uint16_floor __bid128_to_uint16_floor +#define bid128_to_uint16_int __bid128_to_uint16_int +#define bid128_to_uint16_rnint __bid128_to_uint16_rnint +#define bid128_to_uint16_rninta __bid128_to_uint16_rninta +#define bid128_to_uint16_xceil __bid128_to_uint16_xceil +#define bid128_to_uint16_xfloor __bid128_to_uint16_xfloor +#define bid128_to_uint16_xint __bid128_to_uint16_xint +#define bid128_to_uint16_xrnint __bid128_to_uint16_xrnint +#define bid128_to_uint16_xrninta __bid128_to_uint16_xrninta +#define bid128_to_int16_ceil __bid128_to_int16_ceil +#define bid128_to_int16_floor __bid128_to_int16_floor +#define bid128_to_int16_int __bid128_to_int16_int +#define bid128_to_int16_rnint __bid128_to_int16_rnint +#define bid128_to_int16_rninta __bid128_to_int16_rninta +#define bid128_to_int16_xceil __bid128_to_int16_xceil +#define bid128_to_int16_xfloor __bid128_to_int16_xfloor +#define bid128_to_int16_xint __bid128_to_int16_xint +#define bid128_to_int16_xrnint __bid128_to_int16_xrnint +#define bid128_to_int16_xrninta __bid128_to_int16_xrninta +#define bid64_to_uint8_ceil __bid64_to_uint8_ceil +#define bid64_to_uint8_floor __bid64_to_uint8_floor +#define bid64_to_uint8_int __bid64_to_uint8_int +#define bid64_to_uint8_rnint __bid64_to_uint8_rnint +#define bid64_to_uint8_rninta __bid64_to_uint8_rninta +#define bid64_to_uint8_xceil __bid64_to_uint8_xceil +#define bid64_to_uint8_xfloor __bid64_to_uint8_xfloor +#define bid64_to_uint8_xint __bid64_to_uint8_xint +#define bid64_to_uint8_xrnint __bid64_to_uint8_xrnint +#define bid64_to_uint8_xrninta __bid64_to_uint8_xrninta +#define bid64_to_int8_ceil __bid64_to_int8_ceil +#define bid64_to_int8_floor __bid64_to_int8_floor +#define bid64_to_int8_int __bid64_to_int8_int +#define bid64_to_int8_rnint __bid64_to_int8_rnint +#define bid64_to_int8_rninta __bid64_to_int8_rninta +#define bid64_to_int8_xceil __bid64_to_int8_xceil +#define bid64_to_int8_xfloor __bid64_to_int8_xfloor +#define bid64_to_int8_xint __bid64_to_int8_xint +#define bid64_to_int8_xrnint __bid64_to_int8_xrnint +#define bid64_to_int8_xrninta __bid64_to_int8_xrninta +#define bid128_to_uint8_ceil __bid128_to_uint8_ceil +#define bid128_to_uint8_floor __bid128_to_uint8_floor +#define bid128_to_uint8_int __bid128_to_uint8_int +#define bid128_to_uint8_rnint __bid128_to_uint8_rnint +#define bid128_to_uint8_rninta __bid128_to_uint8_rninta +#define bid128_to_uint8_xceil __bid128_to_uint8_xceil +#define bid128_to_uint8_xfloor __bid128_to_uint8_xfloor +#define bid128_to_uint8_xint __bid128_to_uint8_xint +#define bid128_to_uint8_xrnint __bid128_to_uint8_xrnint +#define bid128_to_uint8_xrninta __bid128_to_uint8_xrninta +#define bid128_to_int8_ceil __bid128_to_int8_ceil +#define bid128_to_int8_floor __bid128_to_int8_floor +#define bid128_to_int8_int __bid128_to_int8_int +#define bid128_to_int8_rnint __bid128_to_int8_rnint +#define bid128_to_int8_rninta __bid128_to_int8_rninta +#define bid128_to_int8_xceil __bid128_to_int8_xceil +#define bid128_to_int8_xfloor __bid128_to_int8_xfloor +#define bid128_to_int8_xint __bid128_to_int8_xint +#define bid128_to_int8_xrnint __bid128_to_int8_xrnint +#define bid128_to_int8_xrninta __bid128_to_int8_xrninta + +#ifdef IN_LIBGCC2 +#if !defined ENABLE_DECIMAL_BID_FORMAT || !ENABLE_DECIMAL_BID_FORMAT +#error BID not enabled in libbid +#endif + +#ifndef BID_BIG_ENDIAN +#define BID_BIG_ENDIAN __FLOAT_WORD_ORDER__ == __ORDER_BIG_ENDIAN__ +#endif + +#ifndef BID_THREAD +#if defined (HAVE_CC_TLS) && defined (USE_TLS) +#define BID_THREAD __thread +#endif +#endif + +#define _intptr_t_defined +#define DECIMAL_CALL_BY_REFERENCE 0 +#define DECIMAL_GLOBAL_ROUNDING 1 +#define DECIMAL_GLOBAL_ROUNDING_ACCESS_FUNCTIONS 1 +#define DECIMAL_GLOBAL_EXCEPTION_FLAGS 1 +#define DECIMAL_GLOBAL_EXCEPTION_FLAGS_ACCESS_FUNCTIONS 1 +#define BID_HAS_GCC_DECIMAL_INTRINSICS 1 +#endif /* IN_LIBGCC2 */ + +// Configuration Options + +#define SET_STATUS_FLAGS + +#ifndef BID_THREAD +#define BID_THREAD +#endif + +#ifndef BID_HAS_GCC_DECIMAL_INTRINSICS +#define BID_HAS_GCC_DECIMAL_INTRINSICS 0 +#endif + +#if !defined(WINDOWS) || defined(__INTEL_COMPILER) +// #define UNCHANGED_BINARY_STATUS_FLAGS +#endif +// #define HPUX_OS + +// If DECIMAL_CALL_BY_REFERENCE is defined then numerical arguments and results +// are passed by reference otherwise they are passed by value (except that +// a pointer is always passed to the status flags) + +#ifndef DECIMAL_CALL_BY_REFERENCE +#define DECIMAL_CALL_BY_REFERENCE 0 +#endif + +// If DECIMAL_GLOBAL_ROUNDING is defined then the rounding mode is a global +// variable _IDEC_glbround, otherwise it is passed as a parameter when needed + +#ifndef DECIMAL_GLOBAL_ROUNDING +#define DECIMAL_GLOBAL_ROUNDING 0 +#endif + +#ifndef DECIMAL_GLOBAL_ROUNDING_ACCESS_FUNCTIONS +#define DECIMAL_GLOBAL_ROUNDING_ACCESS_FUNCTIONS 0 +#endif + +// If DECIMAL_GLOBAL_EXCEPTION_FLAGS is defined then the exception status flags +// are represented by a global variable _IDEC_glbflags, otherwise they are +// passed as a parameter when needed + +#ifndef DECIMAL_GLOBAL_EXCEPTION_FLAGS +#define DECIMAL_GLOBAL_EXCEPTION_FLAGS 0 +#endif + +#ifndef DECIMAL_GLOBAL_EXCEPTION_FLAGS_ACCESS_FUNCTIONS +#define DECIMAL_GLOBAL_EXCEPTION_FLAGS_ACCESS_FUNCTIONS 0 +#endif + +// If DECIMAL_ALTERNATE_EXCEPTION_HANDLING is defined then the exception masks +// are examined and exception handling information is provided to the caller +// if alternate exception handling is necessary + +#ifndef DECIMAL_ALTERNATE_EXCEPTION_HANDLING +#define DECIMAL_ALTERNATE_EXCEPTION_HANDLING 0 +#endif + +typedef unsigned int _IDEC_round; +typedef unsigned int _IDEC_flags; // could be a struct with diagnostic info + +#if DECIMAL_ALTERNATE_EXCEPTION_HANDLING + // If DECIMAL_GLOBAL_EXCEPTION_MASKS is defined then the exception mask bits + // are represented by a global variable _IDEC_exceptionmasks, otherwise they + // are passed as a parameter when needed; DECIMAL_GLOBAL_EXCEPTION_MASKS is + // ignored + // if DECIMAL_ALTERNATE_EXCEPTION_HANDLING is not defined + // ************************************************************************** +#define DECIMAL_GLOBAL_EXCEPTION_MASKS 0 + // ************************************************************************** + + // If DECIMAL_GLOBAL_EXCEPTION_INFO is defined then the alternate exception + // handling information is represented by a global data structure + // _IDEC_glbexcepthandling, otherwise it is passed by reference as a + // parameter when needed; DECIMAL_GLOBAL_EXCEPTION_INFO is ignored + // if DECIMAL_ALTERNATE_EXCEPTION_HANDLING is not defined + // ************************************************************************** +#define DECIMAL_GLOBAL_EXCEPTION_INFO 0 + // ************************************************************************** +#endif + +// Notes: 1) rnd_mode from _RND_MODE_ARG is used by the caller of a function +// from this library, and can be any name +// 2) rnd_mode and prnd_mode from _RND_MODE_PARAM are fixed names +// and *must* be used in the library functions +// 3) _IDEC_glbround is the fixed name for the global variable holding +// the rounding mode + +#if !DECIMAL_GLOBAL_ROUNDING +#if DECIMAL_CALL_BY_REFERENCE +#define _RND_MODE_ARG , &rnd_mode +#define _RND_MODE_PARAM , _IDEC_round *prnd_mode +#define _RND_MODE_ARG_ALONE &rnd_mode +#define _RND_MODE_PARAM_ALONE _IDEC_round *prnd_mode +#else +#define _RND_MODE_ARG , rnd_mode +#define _RND_MODE_PARAM , _IDEC_round rnd_mode +#define _RND_MODE_ARG_ALONE rnd_mode +#define _RND_MODE_PARAM_ALONE _IDEC_round rnd_mode +#endif +#else +#define _RND_MODE_ARG +#define _RND_MODE_PARAM +#define _RND_MODE_ARG_ALONE +#define _RND_MODE_PARAM_ALONE +#define rnd_mode _IDEC_glbround +#endif + +// Notes: 1) pfpsf from _EXC_FLAGS_ARG is used by the caller of a function +// from this library, and can be any name +// 2) pfpsf from _EXC_FLAGS_PARAM is a fixed name and *must* be used +// in the library functions +// 3) _IDEC_glbflags is the fixed name for the global variable holding +// the floating-point status flags +#if !DECIMAL_GLOBAL_EXCEPTION_FLAGS +#define _EXC_FLAGS_ARG , pfpsf +#define _EXC_FLAGS_PARAM , _IDEC_flags *pfpsf +#else +#define _EXC_FLAGS_ARG +#define _EXC_FLAGS_PARAM +#define pfpsf &_IDEC_glbflags +#endif + +#if DECIMAL_GLOBAL_ROUNDING +extern BID_THREAD _IDEC_round _IDEC_glbround; +#endif + +#if DECIMAL_GLOBAL_EXCEPTION_FLAGS +extern BID_THREAD _IDEC_flags _IDEC_glbflags; +#endif + +#if DECIMAL_ALTERNATE_EXCEPTION_HANDLING +#if DECIMAL_GLOBAL_EXCEPTION_MASKS +extern BID_THREAD _IDEC_exceptionmasks _IDEC_glbexceptionmasks; +#endif +#if DECIMAL_GLOBAL_EXCEPTION_INFO +extern BID_THREAD _IDEC_excepthandling _IDEC_glbexcepthandling; +#endif +#endif + +#if DECIMAL_ALTERNATE_EXCEPTION_HANDLING + + // Notes: 1) exc_mask from _EXC_MASKS_ARG is used by the caller of a function + // from this library, and can be any name + // 2) exc_mask and pexc_mask from _EXC_MASKS_PARAM are fixed names + // and *must* be used in the library functions + // 3) _IDEC_glbexceptionmasks is the fixed name for the global + // variable holding the floating-point exception masks +#if !DECIMAL_GLOBAL_EXCEPTION_MASKS +#if DECIMAL_CALL_BY_REFERENCE +#define _EXC_MASKS_ARG , &exc_mask +#define _EXC_MASKS_PARAM , _IDEC_exceptionmasks *pexc_mask +#else +#define _EXC_MASKS_ARG , exc_mask +#define _EXC_MASKS_PARAM , _IDEC_exceptionmasks exc_mask +#endif +#else +#define _EXC_MASKS_ARG +#define _EXC_MASKS_PARAM +#define exc_mask _IDEC_glbexceptionmasks +#endif + + // Notes: 1) pexc_info from _EXC_INFO_ARG is used by the caller of a function + // from this library, and can be any name + // 2) pexc_info from _EXC_INFO_PARAM is a fixed name and *must* be + // used in the library functions + // 3) _IDEC_glbexcepthandling is the fixed name for the global + // variable holding the floating-point exception information +#if !DECIMAL_GLOBAL_EXCEPTION_INFO +#define _EXC_INFO_ARG , pexc_info +#define _EXC_INFO_PARAM , _IDEC_excepthandling *pexc_info +#else +#define _EXC_INFO_ARG +#define _EXC_INFO_PARAM +#define pexc_info &_IDEC_glbexcepthandling +#endif +#else +#define _EXC_MASKS_ARG +#define _EXC_MASKS_PARAM +#define _EXC_INFO_ARG +#define _EXC_INFO_PARAM +#endif + + +#ifndef BID_BIG_ENDIAN +#define BID_BIG_ENDIAN 0 +#endif + +#if BID_BIG_ENDIAN +#define BID_SWAP128(x) { \ + UINT64 sw; \ + sw = (x).w[1]; \ + (x).w[1] = (x).w[0]; \ + (x).w[0] = sw; \ + } +#else +#define BID_SWAP128(x) +#endif + +#if DECIMAL_CALL_BY_REFERENCE +#define BID_RETURN_VAL(x) { *pres = (x); return; } +#if BID_BIG_ENDIAN && defined BID_128RES +#define BID_RETURN(x) { BID_SWAP128(x); *pres = (x); return; } +#else +#define BID_RETURN(x) { *pres = (x); return; } +#endif +#else +#define BID_RETURN_VAL(x) return(x); +#if BID_BIG_ENDIAN && defined BID_128RES +#define BID_RETURN(x) { BID_SWAP128(x); return(x); } +#else +#define BID_RETURN(x) return(x); +#endif +#endif + +#if DECIMAL_CALL_BY_REFERENCE +#define BIDECIMAL_CALL1(_FUNC, _RES, _OP1) \ + _FUNC(&(_RES), &(_OP1) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND(_FUNC, _RES, _OP1) \ + _FUNC(&(_RES), &(_OP1) _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL2(_FUNC, _RES, _OP1, _OP2) \ + _FUNC(&(_RES), &(_OP1), &(_OP2) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL2_NORND(_FUNC, _RES, _OP1, _OP2) \ + _FUNC(&(_RES), &(_OP1), &(_OP2) _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND_RESREF(_FUNC, _RES, _OP1) \ + _FUNC((_RES), &(_OP1) _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_RESARG(_FUNC, _RES, _OP1) \ + _FUNC(&(_RES), (_OP1) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_RESREF(_FUNC, _RES, _OP1) \ + _FUNC((_RES), &(_OP1) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND_NOSTAT(_FUNC, _RES, _OP1) \ + _FUNC(&(_RES), &(_OP1) _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL2_NORND_NOSTAT(_FUNC, _RES, _OP1, _OP2) \ + _FUNC(&(_RES), &(_OP1), &(_OP2) _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL3(_FUNC, _RES, _OP1, _OP2, _OP3) \ + _FUNC(&(_RES), &(_OP1), &(_OP2), &(_OP3) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _FUNC(&(_RES), &(_OP1) _EXC_FLAGS_ARG ) +#define BIDECIMAL_CALL1_NORND_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _FUNC(&(_RES), &(_OP1) ) +#define BIDECIMAL_CALL2_NORND_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1, _OP2) \ + _FUNC(&(_RES), &(_OP1), &(_OP2) ) +#define BIDECIMAL_CALL1_NORND_NOMASK_NOINFO_RESVOID(_FUNC, _OP1) \ + _FUNC(&(_OP1) _EXC_FLAGS_ARG ) +#define BIDECIMAL_CALL2_NORND_NOMASK_NOINFO_RESVOID(_FUNC, _OP1, _OP2) \ + _FUNC(&(_OP1), &(_OP2) _EXC_FLAGS_ARG ) +#define BIDECIMAL_CALLV_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES) \ + _FUNC(&(_RES) _RND_MODE_ARG) +#define BIDECIMAL_CALL1_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _FUNC(&(_OP1) _RND_MODE_ARG) +#else +#define BIDECIMAL_CALL1(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL2(_FUNC, _RES, _OP1, _OP2) \ + _RES = _FUNC((_OP1), (_OP2) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL2_NORND(_FUNC, _RES, _OP1, _OP2) \ + _RES = _FUNC((_OP1), (_OP2) _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND_RESREF(_FUNC, _RES, _OP1) \ + _FUNC((_RES), _OP1 _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_RESARG(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_RESREF(_FUNC, _RES, _OP1) \ + _FUNC((_RES), _OP1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND_NOSTAT(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL2_NORND_NOSTAT(_FUNC, _RES, _OP1, _OP2) \ + _RES = _FUNC((_OP1), (_OP2) _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL3(_FUNC, _RES, _OP1, _OP2, _OP3) \ + _RES = _FUNC((_OP1), (_OP2), (_OP3) _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG) +#define BIDECIMAL_CALL1_NORND_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) _EXC_FLAGS_ARG) +#define BIDECIMAL_CALL1_NORND_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) ) +#define BIDECIMAL_CALL2_NORND_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1, _OP2) \ + _RES = _FUNC((_OP1), (_OP2) ) +#define BIDECIMAL_CALL1_NORND_NOMASK_NOINFO_RESVOID(_FUNC, _OP1) \ + _FUNC((_OP1) _EXC_FLAGS_ARG) +#define BIDECIMAL_CALL2_NORND_NOMASK_NOINFO_RESVOID(_FUNC, _OP1, _OP2) \ + _FUNC((_OP1), (_OP2) _EXC_FLAGS_ARG) +#define BIDECIMAL_CALLV_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES) \ + _RES = _FUNC(_RND_MODE_ARG_ALONE) +#if !DECIMAL_GLOBAL_ROUNDING +#define BIDECIMAL_CALL1_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _RES = _FUNC((_OP1) _RND_MODE_ARG) +#else +#define BIDECIMAL_CALL1_NOFLAGS_NOMASK_NOINFO(_FUNC, _RES, _OP1) \ + _FUNC((_OP1) _RND_MODE_ARG) +#endif +#endif + +#if BID_BIG_ENDIAN +#define HIGH_128W 0 +#define LOW_128W 1 +#else +#define HIGH_128W 1 +#define LOW_128W 0 +#endif + +#if BID_BIG_ENDIAN +#define COPY_ARG_REF(arg_name) \ + UINT128 arg_name={ pbid_##arg_name->w[1], pbid_##arg_name->w[0]}; +#define COPY_ARG_VAL(arg_name) \ + UINT128 arg_name={ bid_##arg_name.w[1], bid_##arg_name.w[0]}; +#else +#define COPY_ARG_REF(arg_name) \ + UINT128 arg_name=*pbid_##arg_name; +#define COPY_ARG_VAL(arg_name) \ + UINT128 arg_name= bid_##arg_name; +#endif + +#define COPY_ARG_TYPE_REF(type, arg_name) \ + type arg_name=*pbid_##arg_name; +#define COPY_ARG_TYPE_VAL(type, arg_name) \ + type arg_name= bid_##arg_name; + +#if !DECIMAL_GLOBAL_ROUNDING +#define SET_RND_MODE() \ + _IDEC_round rnd_mode = *prnd_mode; +#else +#define SET_RND_MODE() +#endif + +#define PROLOG_REF(arg_name) \ + COPY_ARG_REF(arg_name) + +#define PROLOG_VAL(arg_name) \ + COPY_ARG_VAL(arg_name) + +#define PROLOG_TYPE_REF(type, arg_name) \ + COPY_ARG_TYPE_REF(type, arg_name) + +#define PROLOG_TYPE_VAL(type, arg_name) \ + COPY_ARG_TYPE_VAL(type, arg_name) + +#define OTHER_PROLOG_REF() +#define OTHER_PROLOG_VAL() + +#if DECIMAL_CALL_BY_REFERENCE +#define BID128_FUNCTION_ARG1(fn_name, arg_name)\ + void fn_name (UINT128 * pres, \ + UINT128 * \ + pbid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARG1_NORND(fn_name, arg_name)\ + void fn_name (UINT128 * pres, \ + UINT128 * \ + pbid_##arg_name _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name) \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE(restype, fn_name, arg_name)\ + void fn_name (restype * pres, \ + UINT128 * \ + pbid_##arg_name _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name) \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARG2(fn_name, arg_name1, arg_name2)\ + void fn_name (UINT128 * pres, \ + UINT128 *pbid_##arg_name1, UINT128 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name1) \ + PROLOG_REF(arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE(restype, fn_name, arg_name1, arg_name2)\ + void fn_name (restype * pres, \ + UINT128 *pbid_##arg_name1, UINT128 *pbid_##arg_name2 \ + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name1) \ + PROLOG_REF(arg_name2) \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARG128_ARGTYPE2(fn_name, arg_name1, type2, arg_name2)\ + void fn_name (UINT128 * pres, \ + UINT128 *pbid_##arg_name1, type2 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name1) \ + PROLOG_TYPE_REF(type2, arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARGTYPE1_ARGTYPE2(type0, fn_name, type1, arg_name1, type2, arg_name2)\ + void fn_name (type0 *pres, \ + type1 *pbid_##arg_name1, type2 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_TYPE_REF(type1, arg_name1) \ + PROLOG_TYPE_REF(type2, arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARGTYPE1_ARG128(fn_name, type1, arg_name1, arg_name2)\ + void fn_name (UINT128 * pres, \ + type1 *pbid_##arg_name1, UINT128 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_TYPE_REF(type1, arg_name1) \ + PROLOG_REF(arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARG128_ARGTYPE2(type0, fn_name, arg_name1, type2, arg_name2)\ + void fn_name (type0 *pres, \ + UINT128 *pbid_##arg_name1, type2 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name1) \ + PROLOG_TYPE_REF(type2, arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARGTYPE1_ARG128(type0, fn_name, type1, arg_name1, arg_name2)\ + void fn_name (type0 *pres, \ + type1 *pbid_##arg_name1, UINT128 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_TYPE_REF(type1, arg_name1) \ + PROLOG_REF(arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARG128_ARG128(type0, fn_name, arg_name1, arg_name2)\ + void fn_name (type0 * pres, \ + UINT128 *pbid_##arg_name1, UINT128 *pbid_##arg_name2 \ + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name1) \ + PROLOG_REF(arg_name2) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARG1(type0, fn_name, arg_name)\ + void fn_name (type0 * pres, \ + UINT128 * \ + pbid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_REF(arg_name) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define BID128_FUNCTION_ARGTYPE1(fn_name, type1, arg_name)\ + void fn_name (UINT128 * pres, \ + type1 * \ + pbid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_TYPE_REF(type1, arg_name) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARGTYPE1(type0, fn_name, type1, arg_name)\ + void fn_name (type0 * pres, \ + type1 * \ + pbid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_TYPE_REF(type1, arg_name) \ + SET_RND_MODE() \ + OTHER_PROLOG_REF() + +#define TYPE0_FUNCTION_ARGTYPE1_NORND(type0, fn_name, type1, arg_name)\ + void fn_name (type0 * pres, \ + type1 * \ + pbid_##arg_name _EXC_FLAGS_PARAM _EXC_MASKS_PARAM \ + _EXC_INFO_PARAM) {\ + PROLOG_TYPE_REF(type1, arg_name) \ + OTHER_PROLOG_REF() + +////////////////////////////////////////// +///////////////////////////////////////// +//////////////////////////////////////// + +#else + +////////////////////////////////////////// +///////////////////////////////////////// +//////////////////////////////////////// + +#define BID128_FUNCTION_ARG1(fn_name, arg_name)\ + UINT128 \ + fn_name (UINT128 bid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARG1_NORND(fn_name, arg_name)\ + UINT128 \ + fn_name (UINT128 bid_##arg_name _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARG1_NORND_CUSTOMRESTYPE(restype, fn_name, arg_name)\ + restype \ + fn_name (UINT128 bid_##arg_name _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARG2(fn_name, arg_name1, arg_name2)\ + UINT128 \ + fn_name (UINT128 bid_##arg_name1, \ + UINT128 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name1) \ + PROLOG_VAL(arg_name2) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARG2_NORND_CUSTOMRESTYPE(restype, fn_name, arg_name1, arg_name2)\ + restype \ + fn_name (UINT128 bid_##arg_name1, \ + UINT128 bid_##arg_name2 _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name1) \ + PROLOG_VAL(arg_name2) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARG128_ARGTYPE2(fn_name, arg_name1, type2, arg_name2)\ + UINT128 \ + fn_name (UINT128 bid_##arg_name1, \ + type2 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name1) \ + PROLOG_TYPE_VAL(type2, arg_name2) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARGTYPE1_ARGTYPE2(type0, fn_name, type1, arg_name1, type2, arg_name2)\ + type0 \ + fn_name (type1 bid_##arg_name1, \ + type2 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_TYPE_VAL(type1, arg_name1) \ + PROLOG_TYPE_VAL(type2, arg_name2) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARGTYPE1_ARG128(fn_name, type1, arg_name1, arg_name2)\ + UINT128 \ + fn_name (type1 bid_##arg_name1, \ + UINT128 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_TYPE_VAL(type1, arg_name1) \ + PROLOG_VAL(arg_name2) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARG128_ARGTYPE2(type0, fn_name, arg_name1, type2, arg_name2)\ + type0 \ + fn_name (UINT128 bid_##arg_name1, \ + type2 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name1) \ + PROLOG_TYPE_VAL(type2, arg_name2) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARGTYPE1_ARG128(type0, fn_name, type1, arg_name1, arg_name2)\ + type0 \ + fn_name (type1 bid_##arg_name1, \ + UINT128 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_TYPE_VAL(type1, arg_name1) \ + PROLOG_VAL(arg_name2) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARG128_ARG128(type0, fn_name, arg_name1, arg_name2)\ + type0 \ + fn_name (UINT128 bid_##arg_name1, \ + UINT128 bid_##arg_name2 _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name1) \ + PROLOG_VAL(arg_name2) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARG1(type0, fn_name, arg_name)\ + type0 \ + fn_name (UINT128 bid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_VAL(arg_name) \ + OTHER_PROLOG_VAL() + +#define BID128_FUNCTION_ARGTYPE1(fn_name, type1, arg_name)\ + UINT128 \ + fn_name (type1 bid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_TYPE_VAL(type1, arg_name) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARGTYPE1(type0, fn_name, type1, arg_name)\ + type0 \ + fn_name (type1 bid_##arg_name _RND_MODE_PARAM _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_TYPE_VAL(type1, arg_name) \ + OTHER_PROLOG_VAL() + +#define TYPE0_FUNCTION_ARGTYPE1_NORND(type0, fn_name, type1, arg_name)\ + type0 \ + fn_name (type1 bid_##arg_name _EXC_FLAGS_PARAM \ + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { \ + PROLOG_TYPE_VAL(type1, arg_name) \ + OTHER_PROLOG_VAL() + +#endif + + + +#define BID_TO_SMALL_UINT_CVT_FUNCTION(type0, fn_name, type1, arg_name, cvt_fn_name, type2, size_mask, invalid_res)\ + TYPE0_FUNCTION_ARGTYPE1_NORND(type0, fn_name, type1, arg_name)\ + type2 res; \ + _IDEC_flags saved_fpsc=*pfpsf; \ + BIDECIMAL_CALL1_NORND(cvt_fn_name, res, arg_name); \ + if(res & size_mask) { \ + *pfpsf = saved_fpsc | INVALID_EXCEPTION; \ + res = invalid_res; } \ + BID_RETURN_VAL((type0)res); \ + } + +#define BID_TO_SMALL_INT_CVT_FUNCTION(type0, fn_name, type1, arg_name, cvt_fn_name, type2, size_mask, invalid_res)\ + TYPE0_FUNCTION_ARGTYPE1_NORND(type0, fn_name, type1, arg_name)\ + type2 res, sgn_mask; \ + _IDEC_flags saved_fpsc=*pfpsf; \ + BIDECIMAL_CALL1_NORND(cvt_fn_name, res, arg_name); \ + sgn_mask = res & size_mask; \ + if(sgn_mask && (sgn_mask != (type2)size_mask)) { \ + *pfpsf = saved_fpsc | INVALID_EXCEPTION; \ + res = invalid_res; } \ + BID_RETURN_VAL((type0)res); \ + } +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_convert_data.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_convert_data.c new file mode 100644 index 0000000000..322349a36a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_convert_data.c @@ -0,0 +1,2108 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +// convert_table[j][k][i] = digit i (base 10^8) of k*2^(26+7*j) +const UINT32 convert_table[5][128][2] = { + {{0, 0} + , {67108864, 0} + , {34217728, 1} + , {1326592, 2} + , {68435456, 2} + , + {35544320, 3} + , {2653184, 4} + , {69762048, 4} + , {36870912, 5} + , {3979776, 6} + , + {71088640, 6} + , {38197504, 7} + , {5306368, 8} + , {72415232, 8} + , {39524096, 9} + , + {6632960, 10} + , {73741824, 10} + , {40850688, 11} + , {7959552, 12} + , {75068416, 12} + , + {42177280, 13} + , {9286144, 14} + , {76395008, 14} + , {43503872, 15} + , {10612736, 16} + , + {77721600, 16} + , {44830464, 17} + , {11939328, 18} + , {79048192, 18} + , {46157056, 19} + , + {13265920, 20} + , {80374784, 20} + , {47483648, 21} + , {14592512, 22} + , {81701376, 22} + , + {48810240, 23} + , {15919104, 24} + , {83027968, 24} + , {50136832, 25} + , {17245696, 26} + , + {84354560, 26} + , {51463424, 27} + , {18572288, 28} + , {85681152, 28} + , {52790016, 29} + , + {19898880, 30} + , {87007744, 30} + , {54116608, 31} + , {21225472, 32} + , {88334336, 32} + , + {55443200, 33} + , {22552064, 34} + , {89660928, 34} + , {56769792, 35} + , {23878656, 36} + , + {90987520, 36} + , {58096384, 37} + , {25205248, 38} + , {92314112, 38} + , {59422976, 39} + , + {26531840, 40} + , {93640704, 40} + , {60749568, 41} + , {27858432, 42} + , {94967296, 42} + , + {62076160, 43} + , {29185024, 44} + , {96293888, 44} + , {63402752, 45} + , {30511616, 46} + , + {97620480, 46} + , {64729344, 47} + , {31838208, 48} + , {98947072, 48} + , {66055936, 49} + , + {33164800, 50} + , {273664, 51} + , {67382528, 51} + , {34491392, 52} + , {1600256, 53} + , + {68709120, 53} + , {35817984, 54} + , {2926848, 55} + , {70035712, 55} + , {37144576, 56} + , + {4253440, 57} + , {71362304, 57} + , {38471168, 58} + , {5580032, 59} + , {72688896, 59} + , + {39797760, 60} + , {6906624, 61} + , {74015488, 61} + , {41124352, 62} + , {8233216, 63} + , + {75342080, 63} + , {42450944, 64} + , {9559808, 65} + , {76668672, 65} + , {43777536, 66} + , + {10886400, 67} + , {77995264, 67} + , {45104128, 68} + , {12212992, 69} + , {79321856, 69} + , + {46430720, 70} + , {13539584, 71} + , {80648448, 71} + , {47757312, 72} + , {14866176, 73} + , + {81975040, 73} + , {49083904, 74} + , {16192768, 75} + , {83301632, 75} + , {50410496, 76} + , + {17519360, 77} + , {84628224, 77} + , {51737088, 78} + , {18845952, 79} + , {85954816, 79} + , + {53063680, 80} + , {20172544, 81} + , {87281408, 81} + , {54390272, 82} + , {21499136, 83} + , + {88608000, 83} + , {55716864, 84} + , {22825728, 85} + , + } + , + + {{0, 0} + , {89934592, 85} + , {79869184, 171} + , {69803776, 257} + , {59738368, 343} + , + {49672960, 429} + , {39607552, 515} + , {29542144, 601} + , {19476736, 687} + , {9411328, 773} + , + {99345920, 858} + , {89280512, 944} + , {79215104, 1030} + , {69149696, 1116} + , {59084288, 1202} + , + {49018880, 1288} + , {38953472, 1374} + , {28888064, 1460} + , {18822656, 1546} + , {8757248, 1632} + , + {98691840, 1717} + , {88626432, 1803} + , {78561024, 1889} + , {68495616, 1975} + , {58430208, 2061} + , + {48364800, 2147} + , {38299392, 2233} + , {28233984, 2319} + , {18168576, 2405} + , {8103168, 2491} + , + {98037760, 2576} + , {87972352, 2662} + , {77906944, 2748} + , {67841536, 2834} + , {57776128, 2920} + , + {47710720, 3006} + , {37645312, 3092} + , {27579904, 3178} + , {17514496, 3264} + , {7449088, 3350} + , + {97383680, 3435} + , {87318272, 3521} + , {77252864, 3607} + , {67187456, 3693} + , {57122048, 3779} + , + {47056640, 3865} + , {36991232, 3951} + , {26925824, 4037} + , {16860416, 4123} + , {6795008, 4209} + , + {96729600, 4294} + , {86664192, 4380} + , {76598784, 4466} + , {66533376, 4552} + , {56467968, 4638} + , + {46402560, 4724} + , {36337152, 4810} + , {26271744, 4896} + , {16206336, 4982} + , {6140928, 5068} + , + {96075520, 5153} + , {86010112, 5239} + , {75944704, 5325} + , {65879296, 5411} + , {55813888, 5497} + , + {45748480, 5583} + , {35683072, 5669} + , {25617664, 5755} + , {15552256, 5841} + , {5486848, 5927} + , + {95421440, 6012} + , {85356032, 6098} + , {75290624, 6184} + , {65225216, 6270} + , {55159808, 6356} + , + {45094400, 6442} + , {35028992, 6528} + , {24963584, 6614} + , {14898176, 6700} + , {4832768, 6786} + , + {94767360, 6871} + , {84701952, 6957} + , {74636544, 7043} + , {64571136, 7129} + , {54505728, 7215} + , + {44440320, 7301} + , {34374912, 7387} + , {24309504, 7473} + , {14244096, 7559} + , {4178688, 7645} + , + {94113280, 7730} + , {84047872, 7816} + , {73982464, 7902} + , {63917056, 7988} + , {53851648, 8074} + , + {43786240, 8160} + , {33720832, 8246} + , {23655424, 8332} + , {13590016, 8418} + , {3524608, 8504} + , + {93459200, 8589} + , {83393792, 8675} + , {73328384, 8761} + , {63262976, 8847} + , {53197568, 8933} + , + {43132160, 9019} + , {33066752, 9105} + , {23001344, 9191} + , {12935936, 9277} + , {2870528, 9363} + , + {92805120, 9448} + , {82739712, 9534} + , {72674304, 9620} + , {62608896, 9706} + , {52543488, 9792} + , + {42478080, 9878} + , {32412672, 9964} + , {22347264, 10050} + , {12281856, 10136} + , {2216448, 10222} + , + {92151040, 10307} + , {82085632, 10393} + , {72020224, 10479} + , {61954816, 10565} + , {51889408, 10651} + , + {41824000, 10737} + , {31758592, 10823} + , {21693184, 10909} + , + } + , + + {{0, 0} + , {11627776, 10995} + , {23255552, 21990} + , {34883328, 32985} + , {46511104, 43980} + , + {58138880, 54975} + , {69766656, 65970} + , {81394432, 76965} + , {93022208, 87960} + , {4649984, 98956} + , + {16277760, 109951} + , {27905536, 120946} + , {39533312, 131941} + , {51161088, 142936} + , {62788864, 153931} + , + {74416640, 164926} + , {86044416, 175921} + , {97672192, 186916} + , {9299968, 197912} + , {20927744, 208907} + , + {32555520, 219902} + , {44183296, 230897} + , {55811072, 241892} + , {67438848, 252887} + , {79066624, 263882} + , + {90694400, 274877} + , {2322176, 285873} + , {13949952, 296868} + , {25577728, 307863} + , {37205504, 318858} + , + {48833280, 329853} + , {60461056, 340848} + , {72088832, 351843} + , {83716608, 362838} + , {95344384, 373833} + , + {6972160, 384829} + , {18599936, 395824} + , {30227712, 406819} + , {41855488, 417814} + , {53483264, 428809} + , + {65111040, 439804} + , {76738816, 450799} + , {88366592, 461794} + , {99994368, 472789} + , {11622144, 483785} + , + {23249920, 494780} + , {34877696, 505775} + , {46505472, 516770} + , {58133248, 527765} + , {69761024, 538760} + , + {81388800, 549755} + , {93016576, 560750} + , {4644352, 571746} + , {16272128, 582741} + , {27899904, 593736} + , + {39527680, 604731} + , {51155456, 615726} + , {62783232, 626721} + , {74411008, 637716} + , {86038784, 648711} + , + {97666560, 659706} + , {9294336, 670702} + , {20922112, 681697} + , {32549888, 692692} + , {44177664, 703687} + , + {55805440, 714682} + , {67433216, 725677} + , {79060992, 736672} + , {90688768, 747667} + , {2316544, 758663} + , + {13944320, 769658} + , {25572096, 780653} + , {37199872, 791648} + , {48827648, 802643} + , {60455424, 813638} + , + {72083200, 824633} + , {83710976, 835628} + , {95338752, 846623} + , {6966528, 857619} + , {18594304, 868614} + , + {30222080, 879609} + , {41849856, 890604} + , {53477632, 901599} + , {65105408, 912594} + , {76733184, 923589} + , + {88360960, 934584} + , {99988736, 945579} + , {11616512, 956575} + , {23244288, 967570} + , {34872064, 978565} + , + {46499840, 989560} + , {58127616, 1000555} + , {69755392, 1011550} + , {81383168, 1022545} + , {93010944, 1033540} + , + {4638720, 1044536} + , {16266496, 1055531} + , {27894272, 1066526} + , {39522048, 1077521} + , {51149824, 1088516} + , + {62777600, 1099511} + , {74405376, 1110506} + , {86033152, 1121501} + , {97660928, 1132496} + , {9288704, 1143492} + , + {20916480, 1154487} + , {32544256, 1165482} + , {44172032, 1176477} + , {55799808, 1187472} + , {67427584, 1198467} + , + {79055360, 1209462} + , {90683136, 1220457} + , {2310912, 1231453} + , {13938688, 1242448} + , {25566464, 1253443} + , + {37194240, 1264438} + , {48822016, 1275433} + , {60449792, 1286428} + , {72077568, 1297423} + , {83705344, 1308418} + , + {95333120, 1319413} + , {6960896, 1330409} + , {18588672, 1341404} + , {30216448, 1352399} + , {41844224, 1363394} + , + {53472000, 1374389} + , {65099776, 1385384} + , {76727552, 1396379} + , + } + , + + {{0, 0} + , {88355328, 1407374} + , {76710656, 2814749} + , {65065984, 4222124} + , {53421312, 5629499} + , + {41776640, 7036874} + , {30131968, 8444249} + , {18487296, 9851624} + , {6842624, 11258999} + , {95197952, 12666373} + , + {83553280, 14073748} + , {71908608, 15481123} + , {60263936, 16888498} + , {48619264, 18295873} + , {36974592, 19703248} + , + {25329920, 21110623} + , {13685248, 22517998} + , {2040576, 23925373} + , {90395904, 25332747} + , {78751232, 26740122} + , + {67106560, 28147497} + , {55461888, 29554872} + , {43817216, 30962247} + , {32172544, 32369622} + , {20527872, 33776997} + , + {8883200, 35184372} + , {97238528, 36591746} + , {85593856, 37999121} + , {73949184, 39406496} + , {62304512, 40813871} + , + {50659840, 42221246} + , {39015168, 43628621} + , {27370496, 45035996} + , {15725824, 46443371} + , {4081152, 47850746} + , + {92436480, 49258120} + , {80791808, 50665495} + , {69147136, 52072870} + , {57502464, 53480245} + , {45857792, 54887620} + , + {34213120, 56294995} + , {22568448, 57702370} + , {10923776, 59109745} + , {99279104, 60517119} + , {87634432, 61924494} + , + {75989760, 63331869} + , {64345088, 64739244} + , {52700416, 66146619} + , {41055744, 67553994} + , {29411072, 68961369} + , + {17766400, 70368744} + , {6121728, 71776119} + , {94477056, 73183493} + , {82832384, 74590868} + , {71187712, 75998243} + , + {59543040, 77405618} + , {47898368, 78812993} + , {36253696, 80220368} + , {24609024, 81627743} + , {12964352, 83035118} + , + {1319680, 84442493} + , {89675008, 85849867} + , {78030336, 87257242} + , {66385664, 88664617} + , {54740992, 90071992} + , + {43096320, 91479367} + , {31451648, 92886742} + , {19806976, 94294117} + , {8162304, 95701492} + , {96517632, 97108866} + , + {84872960, 98516241} + , {73228288, 99923616} + , {61583616, 1330991} + , {49938944, 2738366} + , {38294272, 4145741} + , + {26649600, 5553116} + , {15004928, 6960491} + , {3360256, 8367866} + , {91715584, 9775240} + , {80070912, 11182615} + , + {68426240, 12589990} + , {56781568, 13997365} + , {45136896, 15404740} + , {33492224, 16812115} + , {21847552, 18219490} + , + {10202880, 19626865} + , {98558208, 21034239} + , {86913536, 22441614} + , {75268864, 23848989} + , {63624192, 25256364} + , + {51979520, 26663739} + , {40334848, 28071114} + , {28690176, 29478489} + , {17045504, 30885864} + , {5400832, 32293239} + , + {93756160, 33700613} + , {82111488, 35107988} + , {70466816, 36515363} + , {58822144, 37922738} + , {47177472, 39330113} + , + {35532800, 40737488} + , {23888128, 42144863} + , {12243456, 43552238} + , {598784, 44959613} + , {88954112, 46366987} + , + {77309440, 47774362} + , {65664768, 49181737} + , {54020096, 50589112} + , {42375424, 51996487} + , {30730752, 53403862} + , + {19086080, 54811237} + , {7441408, 56218612} + , {95796736, 57625986} + , {84152064, 59033361} + , {72507392, 60440736} + , + {60862720, 61848111} + , {49218048, 63255486} + , {37573376, 64662861} + , {25928704, 66070236} + , {14284032, 67477611} + , + {2639360, 68884986} + , {90994688, 70292360} + , {79350016, 71699735} + , {67705344, 73107110} + , {56060672, 74514485} + , + {44416000, 75921860} + , {32771328, 77329235} + , {21126656, 78736610} + , + } + , + + {{0, 0} + , {9481984, 80143985} + , {18963968, 60287970} + , {28445952, 40431955} + , {37927936, 20575940} + , + {47409920, 719925} + , {56891904, 80863910} + , {66373888, 61007895} + , {75855872, 41151880} + , {85337856, 21295865} + , + {94819840, 1439850} + , {4301824, 81583836} + , {13783808, 61727821} + , {23265792, 41871806} + , {32747776, 22015791} + , + {42229760, 2159776} + , {51711744, 82303761} + , {61193728, 62447746} + , {70675712, 42591731} + , {80157696, 22735716} + , + {89639680, 2879701} + , {99121664, 83023686} + , {8603648, 63167672} + , {18085632, 43311657} + , {27567616, 23455642} + , + {37049600, 3599627} + , {46531584, 83743612} + , {56013568, 63887597} + , {65495552, 44031582} + , {74977536, 24175567} + , + {84459520, 4319552} + , {93941504, 84463537} + , {3423488, 64607523} + , {12905472, 44751508} + , {22387456, 24895493} + , + {31869440, 5039478} + , {41351424, 85183463} + , {50833408, 65327448} + , {60315392, 45471433} + , {69797376, 25615418} + , + {79279360, 5759403} + , {88761344, 85903388} + , {98243328, 66047373} + , {7725312, 46191359} + , {17207296, 26335344} + , + {26689280, 6479329} + , {36171264, 86623314} + , {45653248, 66767299} + , {55135232, 46911284} + , {64617216, 27055269} + , + {74099200, 7199254} + , {83581184, 87343239} + , {93063168, 67487224} + , {2545152, 47631210} + , {12027136, 27775195} + , + {21509120, 7919180} + , {30991104, 88063165} + , {40473088, 68207150} + , {49955072, 48351135} + , {59437056, 28495120} + , + {68919040, 8639105} + , {78401024, 88783090} + , {87883008, 68927075} + , {97364992, 49071060} + , {6846976, 29215046} + , + {16328960, 9359031} + , {25810944, 89503016} + , {35292928, 69647001} + , {44774912, 49790986} + , {54256896, 29934971} + , + {63738880, 10078956} + , {73220864, 90222941} + , {82702848, 70366926} + , {92184832, 50510911} + , {1666816, 30654897} + , + {11148800, 10798882} + , {20630784, 90942867} + , {30112768, 71086852} + , {39594752, 51230837} + , {49076736, 31374822} + , + {58558720, 11518807} + , {68040704, 91662792} + , {77522688, 71806777} + , {87004672, 51950762} + , {96486656, 32094747} + , + {5968640, 12238733} + , {15450624, 92382718} + , {24932608, 72526703} + , {34414592, 52670688} + , {43896576, 32814673} + , + {53378560, 12958658} + , {62860544, 93102643} + , {72342528, 73246628} + , {81824512, 53390613} + , {91306496, 33534598} + , + {788480, 13678584} + , {10270464, 93822569} + , {19752448, 73966554} + , {29234432, 54110539} + , {38716416, 34254524} + , + {48198400, 14398509} + , {57680384, 94542494} + , {67162368, 74686479} + , {76644352, 54830464} + , {86126336, 34974449} + , + {95608320, 15118434} + , {5090304, 95262420} + , {14572288, 75406405} + , {24054272, 55550390} + , {33536256, 35694375} + , + {43018240, 15838360} + , {52500224, 95982345} + , {61982208, 76126330} + , {71464192, 56270315} + , {80946176, 36414300} + , + {90428160, 16558285} + , {99910144, 96702270} + , {9392128, 76846256} + , {18874112, 56990241} + , {28356096, 37134226} + , + {37838080, 17278211} + , {47320064, 97422196} + , {56802048, 77566181} + , {66284032, 57710166} + , {75766016, 37854151} + , + {85248000, 17998136} + , {94729984, 98142121} + , {4211968, 78286107} + , + } + , +}; + +// for j>=min_j[i+1], there is k s.t. convert_table[i][j][k]>0 +// int min_j[] = { 0, 0, 0, 3 }; + +// for even k, ((packed_10000_zeros[k>>3])>>(k&7))&3)=greatest(i) s.t. 10^i divides k +const UINT8 packed_10000_zeros[] = { + + 0x3, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x20, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x3, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x2, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x20, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x3, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x2, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x3, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x20, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x3, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x2, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x2, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x3, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x20, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x3, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x20, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x3, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x2, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x2, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x3, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x20, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, 0x40, 0x0, 0x3, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, + 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, + 0x0, 0x2, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, + 0x2, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, + 0x40, 0x0, 0x1, + 0x4, 0x10, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, 0x2, 0x4, 0x10, 0x40, + 0x0, 0x1, 0x4, + 0x10, 0x40, 0x0, 0x1, 0x4, 0x20, 0x40, 0x0, 0x1, 0x4, 0x10, 0x40, 0x0, + 0x1, 0x4, 0x10, + 0x40, 0x0, +}; + + +const SINT8 factors[1024][2] = { + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {6, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {4, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 3} + , {1, 0} + , {0, 0} + , {7, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {5, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {6, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {5, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {4, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 3} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {8, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {5, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {6, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 3} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {7, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {4, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {6, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {5, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 3} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {9, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {5, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {4, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {6, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {5, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 4} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {7, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {6, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {4, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 3} + , + {0, 0} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {8, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {5, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {6, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {5, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 3} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {4, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {7, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 2} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 2} + , {1, 0} + , {0, 0} + , {5, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 2} + , + {0, 0} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {6, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 2} + , {4, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {3, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {5, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {3, 3} + , + {0, 0} + , {1, 0} + , {0, 0} + , {2, 0} + , {0, 1} + , {1, 0} + , {0, 0} + , {4, 0} + , {0, 0} + , {1, 1} + , + {0, 0} + , {2, 0} + , {0, 0} + , {1, 0} + , {0, 1} + , {3, 0} + , {0, 0} + , {1, 0} + , {0, 0} + , {2, 1} + , + {0, 0} + , {1, 0} + , {0, 0} + , {10, 0} + , +}; diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_decimal_data.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_decimal_data.c new file mode 100644 index 0000000000..67431f47fe --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_decimal_data.c @@ -0,0 +1,1293 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +UINT64 round_const_table[][19] = { + { // RN + 0ull, // 0 extra digits + 5ull, // 1 extra digits + 50ull, // 2 extra digits + 500ull, // 3 extra digits + 5000ull, // 4 extra digits + 50000ull, // 5 extra digits + 500000ull, // 6 extra digits + 5000000ull, // 7 extra digits + 50000000ull, // 8 extra digits + 500000000ull, // 9 extra digits + 5000000000ull, // 10 extra digits + 50000000000ull, // 11 extra digits + 500000000000ull, // 12 extra digits + 5000000000000ull, // 13 extra digits + 50000000000000ull, // 14 extra digits + 500000000000000ull, // 15 extra digits + 5000000000000000ull, // 16 extra digits + 50000000000000000ull, // 17 extra digits + 500000000000000000ull // 18 extra digits + } + , + { // RD + 0ull, // 0 extra digits + 0ull, // 1 extra digits + 0ull, // 2 extra digits + 00ull, // 3 extra digits + 000ull, // 4 extra digits + 0000ull, // 5 extra digits + 00000ull, // 6 extra digits + 000000ull, // 7 extra digits + 0000000ull, // 8 extra digits + 00000000ull, // 9 extra digits + 000000000ull, // 10 extra digits + 0000000000ull, // 11 extra digits + 00000000000ull, // 12 extra digits + 000000000000ull, // 13 extra digits + 0000000000000ull, // 14 extra digits + 00000000000000ull, // 15 extra digits + 000000000000000ull, // 16 extra digits + 0000000000000000ull, // 17 extra digits + 00000000000000000ull // 18 extra digits + } + , + { // round to Inf + 0ull, // 0 extra digits + 9ull, // 1 extra digits + 99ull, // 2 extra digits + 999ull, // 3 extra digits + 9999ull, // 4 extra digits + 99999ull, // 5 extra digits + 999999ull, // 6 extra digits + 9999999ull, // 7 extra digits + 99999999ull, // 8 extra digits + 999999999ull, // 9 extra digits + 9999999999ull, // 10 extra digits + 99999999999ull, // 11 extra digits + 999999999999ull, // 12 extra digits + 9999999999999ull, // 13 extra digits + 99999999999999ull, // 14 extra digits + 999999999999999ull, // 15 extra digits + 9999999999999999ull, // 16 extra digits + 99999999999999999ull, // 17 extra digits + 999999999999999999ull // 18 extra digits + } + , + { // RZ + 0ull, // 0 extra digits + 0ull, // 1 extra digits + 0ull, // 2 extra digits + 00ull, // 3 extra digits + 000ull, // 4 extra digits + 0000ull, // 5 extra digits + 00000ull, // 6 extra digits + 000000ull, // 7 extra digits + 0000000ull, // 8 extra digits + 00000000ull, // 9 extra digits + 000000000ull, // 10 extra digits + 0000000000ull, // 11 extra digits + 00000000000ull, // 12 extra digits + 000000000000ull, // 13 extra digits + 0000000000000ull, // 14 extra digits + 00000000000000ull, // 15 extra digits + 000000000000000ull, // 16 extra digits + 0000000000000000ull, // 17 extra digits + 00000000000000000ull // 18 extra digits + } + , + { // round ties away from 0 + 0ull, // 0 extra digits + 5ull, // 1 extra digits + 50ull, // 2 extra digits + 500ull, // 3 extra digits + 5000ull, // 4 extra digits + 50000ull, // 5 extra digits + 500000ull, // 6 extra digits + 5000000ull, // 7 extra digits + 50000000ull, // 8 extra digits + 500000000ull, // 9 extra digits + 5000000000ull, // 10 extra digits + 50000000000ull, // 11 extra digits + 500000000000ull, // 12 extra digits + 5000000000000ull, // 13 extra digits + 50000000000000ull, // 14 extra digits + 500000000000000ull, // 15 extra digits + 5000000000000000ull, // 16 extra digits + 50000000000000000ull, // 17 extra digits + 500000000000000000ull // 18 extra digits + } + , +}; + +UINT128 round_const_table_128[][36] = { + { //RN + {{0ull, 0ull} + } + , // 0 extra digits + {{5ull, 0ull} + } + , // 1 extra digits + {{50ull, 0ull} + } + , // 2 extra digits + {{500ull, 0ull} + } + , // 3 extra digits + {{5000ull, 0ull} + } + , // 4 extra digits + {{50000ull, 0ull} + } + , // 5 extra digits + {{500000ull, 0ull} + } + , // 6 extra digits + {{5000000ull, 0ull} + } + , // 7 extra digits + {{50000000ull, 0ull} + } + , // 8 extra digits + {{500000000ull, 0ull} + } + , // 9 extra digits + {{5000000000ull, 0ull} + } + , // 10 extra digits + {{50000000000ull, 0ull} + } + , // 11 extra digits + {{500000000000ull, 0ull} + } + , // 12 extra digits + {{5000000000000ull, 0ull} + } + , // 13 extra digits + {{50000000000000ull, 0ull} + } + , // 14 extra digits + {{500000000000000ull, 0ull} + } + , // 15 extra digits + {{5000000000000000ull, 0ull} + } + , // 16 extra digits + {{50000000000000000ull, 0ull} + } + , // 17 extra digits + {{500000000000000000ull, 0ull} + } + , // 18 extra digits + {{5000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0xb5e3af16b1880000ull, 2ull} + } + , //20 + {{0x1ae4d6e2ef500000ull, 27ull} + } + , //21 + {{0xcf064dd59200000ull, 271ull} + } + , //22 + {{0x8163f0a57b400000ull, 2710ull} + } + , //23 + {{0xde76676d0800000ull, 27105ull} + } + , //24 + {{0x8b0a00a425000000ull, 0x422caull} + } + , //25 + {{0x6e64066972000000ull, 0x295be9ull} + } + , //26 + {{0x4fe8401e74000000ull, 0x19d971eull} + } + , //27 + {{0x1f12813088000000ull, 0x1027e72full} + } + , //28 + {{0x36b90be550000000ull, 0xa18f07d7ull} + } + , //29 + {{0x233a76f520000000ull, 0x64f964e68ull} + } + , //30 + {{0x6048a59340000000ull, 0x3f1bdf1011ull} + } + , //31 + {{0xc2d677c080000000ull, 0x27716b6a0adull} + } + , //32 + {{0x9c60ad8500000000ull, 0x18a6e32246c9ull} + } + , //33 + {{0x1bc6c73200000000ull, 0xf684df56c3e0ull} + } + , //34 + {{0x15c3c7f400000000ull, 0x9a130b963a6c1ull} + } + , //35 + } + , + { //RD + {{0ull, 0ull} + } + , // 0 extra digits + {{0ull, 0ull} + } + , // 1 extra digits + {{0ull, 0ull} + } + , // 2 extra digits + {{00ull, 0ull} + } + , // 3 extra digits + {{000ull, 0ull} + } + , // 4 extra digits + {{0000ull, 0ull} + } + , // 5 extra digits + {{00000ull, 0ull} + } + , // 6 extra digits + {{000000ull, 0ull} + } + , // 7 extra digits + {{0000000ull, 0ull} + } + , // 8 extra digits + {{00000000ull, 0ull} + } + , // 9 extra digits + {{000000000ull, 0ull} + } + , // 10 extra digits + {{0000000000ull, 0ull} + } + , // 11 extra digits + {{00000000000ull, 0ull} + } + , // 12 extra digits + {{000000000000ull, 0ull} + } + , // 13 extra digits + {{0000000000000ull, 0ull} + } + , // 14 extra digits + {{00000000000000ull, 0ull} + } + , // 15 extra digits + {{000000000000000ull, 0ull} + } + , // 16 extra digits + {{0000000000000000ull, 0ull} + } + , // 17 extra digits + {{00000000000000000ull, 0ull} + } + , // 18 extra digits + {{000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0ull, 0ull} + } + , //20 + {{0ull, 0ull} + } + , //21 + {{0ull, 0ull} + } + , //22 + {{0ull, 0ull} + } + , //23 + {{0ull, 0ull} + } + , //24 + {{0ull, 0ull} + } + , //25 + {{0ull, 0ull} + } + , //26 + {{0ull, 0ull} + } + , //27 + {{0ull, 0ull} + } + , //28 + {{0ull, 0ull} + } + , //29 + {{0ull, 0ull} + } + , //30 + {{0ull, 0ull} + } + , //31 + {{0ull, 0ull} + } + , //32 + {{0ull, 0ull} + } + , //33 + {{0ull, 0ull} + } + , //34 + {{0ull, 0ull} + } + , //35 + } + , + { //RU + {{0ull, 0ull} + } + , // 0 extra digits + {{9ull, 0ull} + } + , // 1 extra digits + {{99ull, 0ull} + } + , // 2 extra digits + {{999ull, 0ull} + } + , // 3 extra digits + {{9999ull, 0ull} + } + , // 4 extra digits + {{99999ull, 0ull} + } + , // 5 extra digits + {{999999ull, 0ull} + } + , // 6 extra digits + {{9999999ull, 0ull} + } + , // 7 extra digits + {{99999999ull, 0ull} + } + , // 8 extra digits + {{999999999ull, 0ull} + } + , // 9 extra digits + {{9999999999ull, 0ull} + } + , // 10 extra digits + {{99999999999ull, 0ull} + } + , // 11 extra digits + {{999999999999ull, 0ull} + } + , // 12 extra digits + {{9999999999999ull, 0ull} + } + , // 13 extra digits + {{99999999999999ull, 0ull} + } + , // 14 extra digits + {{999999999999999ull, 0ull} + } + , // 15 extra digits + {{9999999999999999ull, 0ull} + } + , // 16 extra digits + {{99999999999999999ull, 0ull} + } + , // 17 extra digits + {{999999999999999999ull, 0ull} + } + , // 18 extra digits + {{9999999999999999999ull, 0ull} + } + , // 19 extra digits + {{0x6BC75E2D630FFFFFull, 0x5ull} + } + , //20 + {{0x35C9ADC5DE9FFFFFull, 0x36ull} + } + , //21 + {{0x19E0C9BAB23FFFFFull, 0x21eull} + } + , //22 + {{0x2C7E14AF67FFFFFull, 0x152dull} + } + , //23 + {{0x1BCECCEDA0FFFFFFull, 0xd3c2ull} + } + , //24 + {{0x1614014849FFFFFFull, 0x84595ull} + } + , //25 + {{0xDCC80CD2E3FFFFFFull, 0x52b7d2ull} + } + , //26 + {{0x9FD0803CE7FFFFFFull, 0x33B2E3Cull} + } + , //27 + {{0x3E2502610FFFFFFFull, 0x204FCE5Eull} + } + , //28 + {{0x6D7217CA9FFFFFFFull, 0x1431E0FAEull} + } + , //29 + {{0x4674EDEA3FFFFFFFull, 0xC9F2C9CD0ull} + } + , //30 + {{0xC0914B267FFFFFFFull, 0x7E37BE2022ull} + } + , //31 + {{0x85ACEF80FFFFFFFFull, 0x4EE2D6D415Bull} + } + , //32 + {{0x38c15b09ffffffffull, 0x314dc6448d93ull} + } + , //33 + {{0x378d8e63ffffffffull, 0x1ed09bead87c0ull} + } + , //34 + {{0x2b878fe7ffffffffull, 0x13426172c74d82ull} + } + , //35 + } + , + { //RZ + {{0ull, 0ull} + } + , // 0 extra digits + {{0ull, 0ull} + } + , // 1 extra digits + {{0ull, 0ull} + } + , // 2 extra digits + {{00ull, 0ull} + } + , // 3 extra digits + {{000ull, 0ull} + } + , // 4 extra digits + {{0000ull, 0ull} + } + , // 5 extra digits + {{00000ull, 0ull} + } + , // 6 extra digits + {{000000ull, 0ull} + } + , // 7 extra digits + {{0000000ull, 0ull} + } + , // 8 extra digits + {{00000000ull, 0ull} + } + , // 9 extra digits + {{000000000ull, 0ull} + } + , // 10 extra digits + {{0000000000ull, 0ull} + } + , // 11 extra digits + {{00000000000ull, 0ull} + } + , // 12 extra digits + {{000000000000ull, 0ull} + } + , // 13 extra digits + {{0000000000000ull, 0ull} + } + , // 14 extra digits + {{00000000000000ull, 0ull} + } + , // 15 extra digits + {{000000000000000ull, 0ull} + } + , // 16 extra digits + {{0000000000000000ull, 0ull} + } + , // 17 extra digits + {{00000000000000000ull, 0ull} + } + , // 18 extra digits + {{000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0ull, 0ull} + } + , //20 + {{0ull, 0ull} + } + , //21 + {{0ull, 0ull} + } + , //22 + {{0ull, 0ull} + } + , //23 + {{0ull, 0ull} + } + , //24 + {{0ull, 0ull} + } + , //25 + {{0ull, 0ull} + } + , //26 + {{0ull, 0ull} + } + , //27 + {{0ull, 0ull} + } + , //28 + {{0ull, 0ull} + } + , //29 + {{0ull, 0ull} + } + , //30 + {{0ull, 0ull} + } + , //31 + {{0ull, 0ull} + } + , //32 + {{0ull, 0ull} + } + , //33 + {{0ull, 0ull} + } + , //34 + {{0ull, 0ull} + } + , //35 + } + , + { //RN, ties away + {{0ull, 0ull} + } + , // 0 extra digits + {{5ull, 0ull} + } + , // 1 extra digits + {{50ull, 0ull} + } + , // 2 extra digits + {{500ull, 0ull} + } + , // 3 extra digits + {{5000ull, 0ull} + } + , // 4 extra digits + {{50000ull, 0ull} + } + , // 5 extra digits + {{500000ull, 0ull} + } + , // 6 extra digits + {{5000000ull, 0ull} + } + , // 7 extra digits + {{50000000ull, 0ull} + } + , // 8 extra digits + {{500000000ull, 0ull} + } + , // 9 extra digits + {{5000000000ull, 0ull} + } + , // 10 extra digits + {{50000000000ull, 0ull} + } + , // 11 extra digits + {{500000000000ull, 0ull} + } + , // 12 extra digits + {{5000000000000ull, 0ull} + } + , // 13 extra digits + {{50000000000000ull, 0ull} + } + , // 14 extra digits + {{500000000000000ull, 0ull} + } + , // 15 extra digits + {{5000000000000000ull, 0ull} + } + , // 16 extra digits + {{50000000000000000ull, 0ull} + } + , // 17 extra digits + {{500000000000000000ull, 0ull} + } + , // 18 extra digits + {{5000000000000000000ull, 0ull} + } + , // 19 extra digits + {{0xb5e3af16b1880000ull, 2ull} + } + , //20 + {{0x1ae4d6e2ef500000ull, 27ull} + } + , //21 + {{0xcf064dd59200000ull, 271ull} + } + , //22 + {{0x8163f0a57b400000ull, 2710ull} + } + , //23 + {{0xde76676d0800000ull, 27105ull} + } + , //24 + {{0x8b0a00a425000000ull, 0x422caull} + } + , //25 + {{0x6e64066972000000ull, 0x295be9ull} + } + , //26 + {{0x4fe8401e74000000ull, 0x19d971eull} + } + , //27 + {{0x1f12813088000000ull, 0x1027e72full} + } + , //28 + {{0x36b90be550000000ull, 0xa18f07d7ull} + } + , //29 + {{0x233a76f520000000ull, 0x64f964e68ull} + } + , //30 + {{0x6048a59340000000ull, 0x3f1bdf1011ull} + } + , //31 + {{0xc2d677c080000000ull, 0x27716b6a0adull} + } + , //32 + {{0x9c60ad8500000000ull, 0x18a6e32246c9ull} + } + , //33 + {{0x1bc6c73200000000ull, 0xf684df56c3e0ull} + } + , //34 + {{0x15c3c7f400000000ull, 0x9a130b963a6c1ull} + } + , //35 + } +}; + + +UINT128 reciprocals10_128[] = { + {{0ull, 0ull} + } + , // 0 extra digits + {{0x3333333333333334ull, 0x3333333333333333ull} + } + , // 1 extra digit + {{0x51eb851eb851eb86ull, 0x051eb851eb851eb8ull} + } + , // 2 extra digits + {{0x3b645a1cac083127ull, 0x0083126e978d4fdfull} + } + , // 3 extra digits + {{0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL} + } + , // 10^(-4) * 2^131 + {{0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL} + } + , // 10^(-5) * 2^134 + {{0x6d698fe69270b06dULL, 0x00218def416bdb1aULL} + } + , // 10^(-6) * 2^137 + {{0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL} + } + , // 10^(-7) * 2^141 + {{0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL} + } + , // 10^(-8) * 2^144 + {{0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL} + } + , // 10^(-9) * 2^147 + {{0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL} + } + , // 10^(-10) * 2^151 + {{0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL} + } + , // 10^(-11) * 2^154 + {{0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL} + } + , // 10^(-12) * 2^157 + {{0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL} + } + , // 10^(-13) * 2^161 + {{0x03d4e1213067bce4ULL, 0x002d09370d425736ULL} + } + , // 10^(-14) * 2^164 + {{0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL} + } + , // 10^(-15) * 2^167 + {{0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL} + } + , // 10^(-16) * 2^171 + {{0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL} + } + , // 10^(-17) * 2^174 + {{0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL} + } + , // 10^(-18) * 2^177 + {{0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL} + } + , // 10^(-19) * 2^181 + {{0xbaa23d2ec729af3eULL, 0x002f394219248446ULL} + } + , // 10^(-20) * 2^184 + {{0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL} + } + , // 10^(-21) * 2^187 + {{0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL} + } + , // 10^(-22) * 2^191 + {{0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL} + } + , // 10^(-23) * 2^194 + {{0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL} + } + , // 10^(-24) * 2^197 + {{0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL} + } + , // 10^(-25) * 2^201 + {{0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL} + } + , // 10^(-26) * 2^204 + {{0x921dd7a89933d54eULL, 0x00279d346de4781fULL} + } + , // 10^(-27) * 2^207 + {{0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL} + } + , // 10^(-28) * 2^211 + {{0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL} + } + , // 10^(-29) * 2^214 + {{0x0c684960de6a5341ULL, 0x00289097fdd7853fULL} + } + , // 10^(-30) * 2^217 + {{0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL} + } + , // 10^(-31) * 2^220 + {{0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL} + } + , // 10^(-32) * 2^224 + {{0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL} + } + , // 10^(-33) * 2^227 + {{0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL} + } + , // 10^(-34) * 2^230 + {{0x0f2abc9d8c9689d1ull, 0x01a95a5b7f87a0efull} + } + , // 35 extra digits +}; + + +int recip_scale[] = { + 129 - 128, // 1 + 129 - 128, // 1/10 + 129 - 128, // 1/10^2 + 129 - 128, // 1/10^3 + 3, // 131 - 128 + 6, // 134 - 128 + 9, // 137 - 128 + 13, // 141 - 128 + 16, // 144 - 128 + 19, // 147 - 128 + 23, // 151 - 128 + 26, // 154 - 128 + 29, // 157 - 128 + 33, // 161 - 128 + 36, // 164 - 128 + 39, // 167 - 128 + 43, // 171 - 128 + 46, // 174 - 128 + 49, // 177 - 128 + 53, // 181 - 128 + 56, // 184 - 128 + 59, // 187 - 128 + 63, // 191 - 128 + + 66, // 194 - 128 + 69, // 197 - 128 + 73, // 201 - 128 + 76, // 204 - 128 + 79, // 207 - 128 + 83, // 211 - 128 + 86, // 214 - 128 + 89, // 217 - 128 + 92, // 220 - 128 + 96, // 224 - 128 + 99, // 227 - 128 + 102, // 230 - 128 + 109, // 237 - 128, 1/10^35 +}; + + +// tables used in computation +int estimate_decimal_digits[129] = { + 1, //2^0 =1 < 10^0 + 1, //2^1 =2 < 10^1 + 1, //2^2 =4 < 10^1 + 1, //2^3 =8 < 10^1 + 2, //2^4 =16 < 10^2 + 2, //2^5 =32 < 10^2 + 2, //2^6 =64 < 10^2 + 3, //2^7 =128 < 10^3 + 3, //2^8 =256 < 10^3 + 3, //2^9 =512 < 10^3 + 4, //2^10=1024 < 10^4 + 4, //2^11=2048 < 10^4 + 4, //2^12=4096 < 10^4 + 4, //2^13=8192 < 10^4 + 5, //2^14=16384 < 10^5 + 5, //2^15=32768 < 10^5 + + 5, //2^16=65536 < 10^5 + 6, //2^17=131072 < 10^6 + 6, //2^18=262144 < 10^6 + 6, //2^19=524288 < 10^6 + 7, //2^20=1048576 < 10^7 + 7, //2^21=2097152 < 10^7 + 7, //2^22=4194304 < 10^7 + 7, //2^23=8388608 < 10^7 + 8, //2^24=16777216 < 10^8 + 8, //2^25=33554432 < 10^8 + 8, //2^26=67108864 < 10^8 + 9, //2^27=134217728 < 10^9 + 9, //2^28=268435456 < 10^9 + 9, //2^29=536870912 < 10^9 + 10, //2^30=1073741824< 10^10 + 10, //2^31=2147483648< 10^10 + + 10, //2^32=4294967296 < 10^10 + 10, //2^33=8589934592 < 10^10 + 11, //2^34=17179869184 < 10^11 + 11, //2^35=34359738368 < 10^11 + 11, //2^36=68719476736 < 10^11 + 12, //2^37=137438953472 < 10^12 + 12, //2^38=274877906944 < 10^12 + 12, //2^39=549755813888 < 10^12 + 13, //2^40=1099511627776 < 10^13 + 13, //2^41=2199023255552 < 10^13 + 13, //2^42=4398046511104 < 10^13 + 13, //2^43=8796093022208 < 10^13 + 14, //2^44=17592186044416 < 10^14 + 14, //2^45=35184372088832 < 10^14 + 14, //2^46=70368744177664 < 10^14 + 15, //2^47=140737488355328< 10^15 + + 15, //2^48=281474976710656 < 10^15 + 15, //2^49=562949953421312 < 10^15 + 16, //2^50=1125899906842624 < 10^16 + 16, //2^51=2251799813685248 < 10^16 + 16, //2^52=4503599627370496 < 10^16 + 16, //2^53=9007199254740992 < 10^16 + 17, //2^54=18014398509481984 < 10^17 + 17, //2^55=36028797018963968 < 10^17 + 17, //2^56=72057594037927936 < 10^17 + 18, //2^57=144115188075855872 < 10^18 + 18, //2^58=288230376151711744 < 10^18 + 18, //2^59=576460752303423488 < 10^18 + 19, //2^60=1152921504606846976< 10^19 + 19, //2^61=2305843009213693952< 10^19 + 19, //2^62=4611686018427387904< 10^19 + 19, //2^63=9223372036854775808< 10^19 + + 20, //2^64=18446744073709551616 + 20, //2^65=36893488147419103232 + 20, //2^66=73786976294838206464 + 21, //2^67=147573952589676412928 + 21, //2^68=295147905179352825856 + 21, //2^69=590295810358705651712 + 22, //2^70=1180591620717411303424 + 22, //2^71=2361183241434822606848 + 22, //2^72=4722366482869645213696 + 22, //2^73=9444732965739290427392 + 23, //2^74=18889465931478580854784 + 23, //2^75=37778931862957161709568 + 23, //2^76=75557863725914323419136 + 24, //2^77=151115727451828646838272 + 24, //2^78=302231454903657293676544 + 24, //2^79=604462909807314587353088 + + 25, //2^80=1208925819614629174706176 + 25, //2^81=2417851639229258349412352 + 25, //2^82=4835703278458516698824704 + 25, //2^83=9671406556917033397649408 + 26, //2^84=19342813113834066795298816 + 26, //2^85=38685626227668133590597632 + 26, //2^86=77371252455336267181195264 + 27, //2^87=154742504910672534362390528 + 27, //2^88=309485009821345068724781056 + 27, //2^89=618970019642690137449562112 + 28, //2^90=1237940039285380274899124224 + 28, //2^91=2475880078570760549798248448 + 28, //2^92=4951760157141521099596496896 + 28, //2^93=9903520314283042199192993792 + 29, //2^94=19807040628566084398385987584 + 29, //2^95=39614081257132168796771975168 + 29, //2^96=79228162514264337593543950336 + + 30, //2^97=158456325028528675187087900672 + 30, //2^98=316912650057057350374175801344 + 30, //2^99=633825300114114700748351602688 + 31, //2^100=1267650600228229401496703205376 + 31, //2^101=2535301200456458802993406410752 + 31, //2^102=5070602400912917605986812821504 + 32, //2^103=10141204801825835211973625643008 + 32, //2^104=20282409603651670423947251286016 + 32, //2^105=40564819207303340847894502572032 + 32, //2^106=81129638414606681695789005144064 + 33, //2^107=162259276829213363391578010288128 + 33, // 2^108 + 33, // 2^109 + 34, // 2^110 + 34, // 2^111 + 34, // 2^112 + 35, // 2^113 + 35, // 2^114 + 35, // 2^115 + 35, // 2^116 + 36, // 2^117 + 36, // 2^118 + 36, // 2^119 + 37, // 2^120 + 37, // 2^121 + 37, // 2^122 + 38, // 2^123 + 38, // 2^124 + 38, // 2^125 + 38, // 2^126 + 39, // 2^127 + 39 // 2^128 +}; + + +UINT128 power10_table_128[] = { + {{0x0000000000000001ull, 0x0000000000000000ull}}, // 10^0 + {{0x000000000000000aull, 0x0000000000000000ull}}, // 10^1 + {{0x0000000000000064ull, 0x0000000000000000ull}}, // 10^2 + {{0x00000000000003e8ull, 0x0000000000000000ull}}, // 10^3 + {{0x0000000000002710ull, 0x0000000000000000ull}}, // 10^4 + {{0x00000000000186a0ull, 0x0000000000000000ull}}, // 10^5 + {{0x00000000000f4240ull, 0x0000000000000000ull}}, // 10^6 + {{0x0000000000989680ull, 0x0000000000000000ull}}, // 10^7 + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, // 10^8 + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, // 10^9 + {{0x00000002540be400ull, 0x0000000000000000ull}}, // 10^10 + {{0x000000174876e800ull, 0x0000000000000000ull}}, // 10^11 + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, // 10^12 + {{0x000009184e72a000ull, 0x0000000000000000ull}}, // 10^13 + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, // 10^14 + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, // 10^15 + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, // 10^16 + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, // 10^17 + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, // 10^18 + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, // 10^19 + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 +}; + + +int estimate_bin_expon[] = { + 0, // 10^0 + 3, // 10^1 + 6, // 10^2 + 9, // 10^3 + 13, // 10^4 + 16, // 10^5 + 19, // 10^6 + 23, // 10^7 + 26, // 10^8 + 29, // 10^9 + 33, // 10^10 + 36, // 10^11 + 39, // 10^12 + 43, // 10^13 + 46, // 10^14 + 49, // 10^15 + 53 // 10^16 +}; + + +UINT64 power10_index_binexp[] = { + 0x000000000000000aull, + 0x000000000000000aull, + 0x000000000000000aull, + 0x000000000000000aull, + 0x0000000000000064ull, + 0x0000000000000064ull, + 0x0000000000000064ull, + 0x00000000000003e8ull, + 0x00000000000003e8ull, + 0x00000000000003e8ull, + 0x0000000000002710ull, + 0x0000000000002710ull, + 0x0000000000002710ull, + 0x0000000000002710ull, + 0x00000000000186a0ull, + 0x00000000000186a0ull, + 0x00000000000186a0ull, + 0x00000000000f4240ull, + 0x00000000000f4240ull, + 0x00000000000f4240ull, + 0x0000000000989680ull, + 0x0000000000989680ull, + 0x0000000000989680ull, + 0x0000000000989680ull, + 0x0000000005f5e100ull, + 0x0000000005f5e100ull, + 0x0000000005f5e100ull, + 0x000000003b9aca00ull, + 0x000000003b9aca00ull, + 0x000000003b9aca00ull, + 0x00000002540be400ull, + 0x00000002540be400ull, + 0x00000002540be400ull, + 0x00000002540be400ull, + 0x000000174876e800ull, + 0x000000174876e800ull, + 0x000000174876e800ull, + 0x000000e8d4a51000ull, + 0x000000e8d4a51000ull, + 0x000000e8d4a51000ull, + 0x000009184e72a000ull, + 0x000009184e72a000ull, + 0x000009184e72a000ull, + 0x000009184e72a000ull, + 0x00005af3107a4000ull, + 0x00005af3107a4000ull, + 0x00005af3107a4000ull, + 0x00038d7ea4c68000ull, + 0x00038d7ea4c68000ull, + 0x00038d7ea4c68000ull, + 0x002386f26fc10000ull, + 0x002386f26fc10000ull, + 0x002386f26fc10000ull, + 0x002386f26fc10000ull, + 0x016345785d8a0000ull, + 0x016345785d8a0000ull, + 0x016345785d8a0000ull, + 0x0de0b6b3a7640000ull, + 0x0de0b6b3a7640000ull, + 0x0de0b6b3a7640000ull, + 0x8ac7230489e80000ull, + 0x8ac7230489e80000ull, + 0x8ac7230489e80000ull, + 0x8ac7230489e80000ull +}; + + +int short_recip_scale[] = { + 1, + 65 - 64, + 69 - 64, + 71 - 64, + 75 - 64, + 78 - 64, + 81 - 64, + 85 - 64, + 88 - 64, + 91 - 64, + 95 - 64, + 98 - 64, + 101 - 64, + 105 - 64, + 108 - 64, + 111 - 64, + 115 - 64, //114 - 64 + 118 - 64 +}; + + +UINT64 reciprocals10_64[] = { + 1ull, // dummy value for 0 extra digits + 0x3333333333333334ull, // 1 extra digit + 0x51eb851eb851eb86ull, + 0x20c49ba5e353f7cfull, + 0x346dc5d63886594bull, + 0x29f16b11c6d1e109ull, + 0x218def416bdb1a6eull, + 0x35afe535795e90b0ull, + 0x2af31dc4611873c0ull, + 0x225c17d04dad2966ull, + 0x36f9bfb3af7b7570ull, + 0x2bfaffc2f2c92ac0ull, + 0x232f33025bd42233ull, + 0x384b84d092ed0385ull, + 0x2d09370d42573604ull, + 0x24075f3dceac2b37ull, + 0x39a5652fb1137857ull, + 0x2e1dea8c8da92d13ull +}; + + + +UINT128 power10_index_binexp_128[] = { + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x000000000000000aull, 0x0000000000000000ull}}, + {{0x0000000000000064ull, 0x0000000000000000ull}}, + {{0x0000000000000064ull, 0x0000000000000000ull}}, + {{0x0000000000000064ull, 0x0000000000000000ull}}, + {{0x00000000000003e8ull, 0x0000000000000000ull}}, + {{0x00000000000003e8ull, 0x0000000000000000ull}}, + {{0x00000000000003e8ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x0000000000002710ull, 0x0000000000000000ull}}, + {{0x00000000000186a0ull, 0x0000000000000000ull}}, + {{0x00000000000186a0ull, 0x0000000000000000ull}}, + {{0x00000000000186a0ull, 0x0000000000000000ull}}, + {{0x00000000000f4240ull, 0x0000000000000000ull}}, + {{0x00000000000f4240ull, 0x0000000000000000ull}}, + {{0x00000000000f4240ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000000989680ull, 0x0000000000000000ull}}, + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, + {{0x0000000005f5e100ull, 0x0000000000000000ull}}, + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, + {{0x000000003b9aca00ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x00000002540be400ull, 0x0000000000000000ull}}, + {{0x000000174876e800ull, 0x0000000000000000ull}}, + {{0x000000174876e800ull, 0x0000000000000000ull}}, + {{0x000000174876e800ull, 0x0000000000000000ull}}, + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, + {{0x000000e8d4a51000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x000009184e72a000ull, 0x0000000000000000ull}}, + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, + {{0x00005af3107a4000ull, 0x0000000000000000ull}}, + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, + {{0x00038d7ea4c68000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x002386f26fc10000ull, 0x0000000000000000ull}}, + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, + {{0x016345785d8a0000ull, 0x0000000000000000ull}}, + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, + {{0x0de0b6b3a7640000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x8ac7230489e80000ull, 0x0000000000000000ull}}, + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x6bc75e2d63100000ull, 0x0000000000000005ull}}, // 10^20 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x35c9adc5dea00000ull, 0x0000000000000036ull}}, // 10^21 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x19e0c9bab2400000ull, 0x000000000000021eull}}, // 10^22 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x02c7e14af6800000ull, 0x000000000000152dull}}, // 10^23 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x1bcecceda1000000ull, 0x000000000000d3c2ull}}, // 10^24 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0x161401484a000000ull, 0x0000000000084595ull}}, // 10^25 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0xdcc80cd2e4000000ull, 0x000000000052b7d2ull}}, // 10^26 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x9fd0803ce8000000ull, 0x00000000033b2e3cull}}, // 10^27 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x3e25026110000000ull, 0x00000000204fce5eull}}, // 10^28 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x6d7217caa0000000ull, 0x00000001431e0faeull}}, // 10^29 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0x4674edea40000000ull, 0x0000000c9f2c9cd0ull}}, // 10^30 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0xc0914b2680000000ull, 0x0000007e37be2022ull}}, // 10^31 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x85acef8100000000ull, 0x000004ee2d6d415bull}}, // 10^32 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33 + {{0x38c15b0a00000000ull, 0x0000314dc6448d93ull}}, // 10^33, entry 112 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x378d8e6400000000ull, 0x0001ed09bead87c0ull}}, // 10^34 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0x2b878fe800000000ull, 0x0013426172c74d82ull}}, // 10^35 + {{0xb34b9f1000000000ull, 0x00c097ce7bc90715ull}}, // 10^36 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x00f436a000000000ull, 0x0785ee10d5da46d9ull}}, // 10^37 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 + {{0x098a224000000000ull, 0x4b3b4ca85a86c47aull}}, // 10^38 +}; diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_decimal_globals.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_decimal_globals.c new file mode 100644 index 0000000000..d576f2044b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_decimal_globals.c @@ -0,0 +1,100 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" +#include "bid_gcc_intrinsics.h" + +#if DECIMAL_GLOBAL_ROUNDING +BID_THREAD _IDEC_round _IDEC_glbround = ROUNDING_TO_NEAREST; + +#if DECIMAL_GLOBAL_ROUNDING_ACCESS_FUNCTIONS +void +__dfp_set_round (int mode) { + _IDEC_glbround = mode; +} + +int +__dfp_get_round (void) { + return _IDEC_glbround; +} +#endif +#endif + +#if DECIMAL_GLOBAL_EXCEPTION_FLAGS +BID_THREAD _IDEC_flags _IDEC_glbflags = EXACT_STATUS; + +#if DECIMAL_GLOBAL_EXCEPTION_FLAGS_ACCESS_FUNCTIONS +#include + +void +__dfp_clear_except (void) { + _IDEC_glbflags &= ~FLAG_MASK; +} + +int +__dfp_test_except (int mask) { + int flags = 0; + + if ((_IDEC_glbflags & INEXACT_EXCEPTION) != 0) + flags |= mask & FE_INEXACT; + if ((_IDEC_glbflags & UNDERFLOW_EXCEPTION) != 0) + flags |= mask & FE_UNDERFLOW; + if ((_IDEC_glbflags & OVERFLOW_EXCEPTION) != 0) + flags |= mask & FE_OVERFLOW; + if ((_IDEC_glbflags & ZERO_DIVIDE_EXCEPTION) != 0) + flags |= mask & FE_DIVBYZERO; + if ((_IDEC_glbflags & INVALID_EXCEPTION) != 0) + flags |= mask & FE_INVALID; + + return flags; +} + +void +__dfp_raise_except (int mask) { + _IDEC_flags flags = 0; + + if ((mask & FE_INEXACT) != 0) + flags |= INEXACT_EXCEPTION; + if ((mask & FE_UNDERFLOW) != 0) + flags |= UNDERFLOW_EXCEPTION; + if ((mask & FE_OVERFLOW) != 0) + flags |= OVERFLOW_EXCEPTION; + if ((mask & FE_DIVBYZERO) != 0) + flags |= ZERO_DIVIDE_EXCEPTION; + if ((mask & FE_INVALID) != 0) + flags |= INVALID_EXCEPTION; + + _IDEC_glbflags |= flags; +} +#endif +#endif + +#if DECIMAL_ALTERNATE_EXCEPTION_HANDLING +#if DECIMAL_GLOBAL_EXCEPTION_MASKS +BID_THREAD _IDEC_exceptionmasks _IDEC_glbexceptionmasks = + _IDEC_allexcmasksset; +#endif +#if DECIMAL_GLOBAL_EXCEPTION_INFO +BID_THREAD _IDEC_excepthandling _IDEC_glbexcepthandling; +#endif +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_div_macros.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_div_macros.h new file mode 100644 index 0000000000..7da25da970 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_div_macros.h @@ -0,0 +1,540 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _DIV_MACROS_H_ +#define _DIV_MACROS_H_ + +#include "bid_internal.h" + +#define FENCE __fence +//#define FENCE + +//#define DOUBLE_EXTENDED_ON + +#if DOUBLE_EXTENDED_ON + + +__BID_INLINE__ void +__div_128_by_128 (UINT128 * pCQ, UINT128 * pCR, UINT128 CX, UINT128 CY) { + UINT128 CB, CB2, CB4, CB8, CQB, CA; + int_double d64, dm64, ds; + int_float t64; + double dx, dq, dqh; + BINARY80 lq, lx, ly; + UINT64 Rh, R, B2, B4, Ph, Ql, Ql2, carry, Qh; + + if (!CY.w[1]) { + pCR->w[1] = 0; + + if (!CX.w[1]) { + pCQ->w[0] = CX.w[0] / CY.w[0]; + pCQ->w[1] = 0; + pCR->w[1] = 0; + pCR->w[0] = CX.w[0] - pCQ->w[0] * CY.w[0]; + } else { + + // This path works for CX<2^116 only + + // 2^64 + d64.i = 0x43f0000000000000; + // 2^64 + dm64.i = 0x3bf0000000000000; + // 1.5*2^(-52) + ds.i = 0x3cb8000000000000; + dx = (BINARY80) CX.w[1] * d64.d + (BINARY80) CX.w[0]; + dq = dx / (BINARY80) CY.w[0]; + dq -= dq * (ds.d); + dqh = dq * dm64.d; + Qh = (UINT64) dqh; + Ql = (UINT64) (dq - ((double) Qh) * d64.d); + + Rh = CX.w[0] - Ql * CY.w[0]; + Ql2 = Rh / CY.w[0]; + pCR->w[0] = Rh - Ql2 * CY.w[0]; + __add_carry_out ((pCQ->w[0]), carry, Ql, Ql2); + pCQ->w[1] = Qh + carry; + + } + return; + } + // now CY.w[1] > 0 + + // 2^64 + t64.i = 0x5f800000; + lx = (BINARY80) CX.w[1] * (BINARY80) t64.d + (BINARY80) CX.w[0]; + ly = (BINARY80) CY.w[1] * (BINARY80) t64.d + (BINARY80) CY.w[0]; + lq = lx / ly; + pCQ->w[0] = (UINT64) lq; + + pCQ->w[1] = 0; + + if (!pCQ->w[0]) { + /*if(__unsigned_compare_ge_128(CX,CY)) + { + pCQ->w[0] = 1; + __sub_128_128((*pCR), CX, CY); + } + else */ + { + pCR->w[1] = CX.w[1]; + pCR->w[0] = CX.w[0]; + } + return; + } + + if (CY.w[1] >= 16 || pCQ->w[0] <= 0x1000000000000000ull) { + pCQ->w[0] = (UINT64) lq - 1; + __mul_64x128_full (Ph, CQB, (pCQ->w[0]), CY); + __sub_128_128 (CA, CX, CQB); + if (__unsigned_compare_ge_128 (CA, CY)) { + __sub_128_128 (CA, CA, CY); + pCQ->w[0]++; + if (__unsigned_compare_ge_128 (CA, CY)) { + __sub_128_128 (CA, CA, CY); + pCQ->w[0]++; + } + } + pCR->w[1] = CA.w[1]; + pCR->w[0] = CA.w[0]; + } else { + pCQ->w[0] = (UINT64) lq - 6; + + __mul_64x128_full (Ph, CQB, (pCQ->w[0]), CY); + __sub_128_128 (CA, CX, CQB); + + CB8.w[1] = (CY.w[1] << 3) | (CY.w[0] >> 61); + CB8.w[0] = CY.w[0] << 3; + CB4.w[1] = (CY.w[1] << 2) | (CY.w[0] >> 62); + CB4.w[0] = CY.w[0] << 2; + CB2.w[1] = (CY.w[1] << 1) | (CY.w[0] >> 63); + CB2.w[0] = CY.w[0] << 1; + + if (__unsigned_compare_ge_128 (CA, CB8)) { + pCQ->w[0] += 8; + __sub_128_128 (CA, CA, CB8); + } + if (__unsigned_compare_ge_128 (CA, CB4)) { + pCQ->w[0] += 4; + __sub_128_128 (CA, CA, CB4); + } + if (__unsigned_compare_ge_128 (CA, CB2)) { + pCQ->w[0] += 2; + __sub_128_128 (CA, CA, CB2); + } + if (__unsigned_compare_ge_128 (CA, CY)) { + pCQ->w[0] += 1; + __sub_128_128 (CA, CA, CY); + } + + pCR->w[1] = CA.w[1]; + pCR->w[0] = CA.w[0]; + } +} + + + + + + +__BID_INLINE__ void +__div_256_by_128 (UINT128 * pCQ, UINT256 * pCA4, UINT128 CY) { + UINT256 CQ2Y; + UINT128 CQ2, CQ3Y; + UINT64 Q3, carry64; + int_double d64; + BINARY80 lx, ly, lq, l64, l128; + + // 2^64 + d64.i = 0x43f0000000000000ull; + l64 = (BINARY80) d64.d; + // 2^128 + l128 = l64 * l64; + + lx = + ((BINARY80) (*pCA4).w[3] * l64 + + (BINARY80) (*pCA4).w[2]) * l128 + + (BINARY80) (*pCA4).w[1] * l64 + (BINARY80) (*pCA4).w[0]; + ly = (BINARY80) CY.w[1] * l128 + (BINARY80) CY.w[0] * l64; + + lq = lx / ly; + CQ2.w[1] = (UINT64) lq; + lq = (lq - CQ2.w[1]) * l64; + CQ2.w[0] = (UINT64) lq; + + // CQ2*CY + __mul_128x128_to_256 (CQ2Y, CY, CQ2); + + // CQ2Y <= (*pCA4) ? + if (CQ2Y.w[3] < (*pCA4).w[3] + || (CQ2Y.w[3] == (*pCA4).w[3] + && (CQ2Y.w[2] < (*pCA4).w[2] + || (CQ2Y.w[2] == (*pCA4).w[2] + && (CQ2Y.w[1] < (*pCA4).w[1] + || (CQ2Y.w[1] == (*pCA4).w[1] + && (CQ2Y.w[0] <= (*pCA4).w[0]))))))) { + + // (*pCA4) -CQ2Y, guaranteed below 5*2^49*CY < 5*2^(49+128) + __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CQ2Y.w[0]); + __sub_borrow_in_out ((*pCA4).w[1], carry64, (*pCA4).w[1], CQ2Y.w[1], + carry64); + (*pCA4).w[2] = (*pCA4).w[2] - CQ2Y.w[2] - carry64; + + lx = ((BINARY80) (*pCA4).w[2] * l128 + + ((BINARY80) (*pCA4).w[1] * l64 + + (BINARY80) (*pCA4).w[0])) * l64; + lq = lx / ly; + Q3 = (UINT64) lq; + + if (Q3) { + Q3--; + __mul_64x128_short (CQ3Y, Q3, CY); + __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CQ3Y.w[0]); + (*pCA4).w[1] = (*pCA4).w[1] - CQ3Y.w[1] - carry64; + + if ((*pCA4).w[1] > CY.w[1] + || ((*pCA4).w[1] == CY.w[1] && (*pCA4).w[0] >= CY.w[0])) { + Q3++; + __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CY.w[0]); + (*pCA4).w[1] = (*pCA4).w[1] - CY.w[1] - carry64; + if ((*pCA4).w[1] > CY.w[1] + || ((*pCA4).w[1] == CY.w[1] && (*pCA4).w[0] >= CY.w[0])) { + Q3++; + __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], + CY.w[0]); + (*pCA4).w[1] = (*pCA4).w[1] - CY.w[1] - carry64; + } + } + // add Q3 to Q2 + __add_carry_out (CQ2.w[0], carry64, Q3, CQ2.w[0]); + CQ2.w[1] += carry64; + } + } else { + // CQ2Y - (*pCA4), guaranteed below 5*2^(49+128) + __sub_borrow_out ((*pCA4).w[0], carry64, CQ2Y.w[0], (*pCA4).w[0]); + __sub_borrow_in_out ((*pCA4).w[1], carry64, CQ2Y.w[1], (*pCA4).w[1], + carry64); + (*pCA4).w[2] = CQ2Y.w[2] - (*pCA4).w[2] - carry64; + + lx = + ((BINARY80) (*pCA4).w[2] * l128 + + (BINARY80) (*pCA4).w[1] * l64 + (BINARY80) (*pCA4).w[0]) * l64; + lq = lx / ly; + Q3 = 1 + (UINT64) lq; + + __mul_64x128_short (CQ3Y, Q3, CY); + __sub_borrow_out ((*pCA4).w[0], carry64, CQ3Y.w[0], (*pCA4).w[0]); + (*pCA4).w[1] = CQ3Y.w[1] - (*pCA4).w[1] - carry64; + + if ((SINT64) (*pCA4).w[1] > (SINT64) CY.w[1] + || ((*pCA4).w[1] == CY.w[1] && (*pCA4).w[0] >= CY.w[0])) { + Q3--; + __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CY.w[0]); + (*pCA4).w[1] = (*pCA4).w[1] - CY.w[1] - carry64; + } else if ((SINT64) (*pCA4).w[1] < 0) { + Q3++; + __add_carry_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CY.w[0]); + (*pCA4).w[1] = (*pCA4).w[1] + CY.w[1] + carry64; + } + // subtract Q3 from Q2 + __sub_borrow_out (CQ2.w[0], carry64, CQ2.w[0], Q3); + CQ2.w[1] -= carry64; + } + + // (*pCQ) + CQ2 + carry + __add_carry_out ((*pCQ).w[0], carry64, CQ2.w[0], (*pCQ).w[0]); + (*pCQ).w[1] = (*pCQ).w[1] + CQ2.w[1] + carry64; + + +} +#else + +__BID_INLINE__ void +__div_128_by_128 (UINT128 * pCQ, UINT128 * pCR, UINT128 CX0, UINT128 CY) { + UINT128 CY36, CY51, CQ, A2, CX, CQT; + UINT64 Q; + int_double t64, d49, d60; + double lx, ly, lq; + + if (!CX0.w[1] && !CY.w[1]) { + pCQ->w[0] = CX0.w[0] / CY.w[0]; + pCQ->w[1] = 0; + pCR->w[1] = pCR->w[0] = 0; + pCR->w[0] = CX0.w[0] - pCQ->w[0] * CY.w[0]; + return; + } + + CX.w[1] = CX0.w[1]; + CX.w[0] = CX0.w[0]; + + // 2^64 + t64.i = 0x43f0000000000000ull; + lx = (double) CX.w[1] * t64.d + (double) CX.w[0]; + ly = (double) CY.w[1] * t64.d + (double) CY.w[0]; + lq = lx / ly; + + CY36.w[1] = CY.w[0] >> (64 - 36); + CY36.w[0] = CY.w[0] << 36; + + CQ.w[1] = CQ.w[0] = 0; + + // Q >= 2^100 ? + if (!CY.w[1] && !CY36.w[1] && (CX.w[1] >= CY36.w[0])) { + // then Q >= 2^100 + + // 2^(-60)*CX/CY + d60.i = 0x3c30000000000000ull; + lq *= d60.d; + Q = (UINT64) lq - 4ull; + + // Q*CY + __mul_64x64_to_128 (A2, Q, CY.w[0]); + + // A2 <<= 60 + A2.w[1] = (A2.w[1] << 60) | (A2.w[0] >> (64 - 60)); + A2.w[0] <<= 60; + + __sub_128_128 (CX, CX, A2); + + lx = (double) CX.w[1] * t64.d + (double) CX.w[0]; + lq = lx / ly; + + CQ.w[1] = Q >> (64 - 60); + CQ.w[0] = Q << 60; + } + + + CY51.w[1] = (CY.w[1] << 51) | (CY.w[0] >> (64 - 51)); + CY51.w[0] = CY.w[0] << 51; + + if (CY.w[1] < (UINT64) (1 << (64 - 51)) + && (__unsigned_compare_gt_128 (CX, CY51))) { + // Q > 2^51 + + // 2^(-49)*CX/CY + d49.i = 0x3ce0000000000000ull; + lq *= d49.d; + + Q = (UINT64) lq - 1ull; + + // Q*CY + __mul_64x64_to_128 (A2, Q, CY.w[0]); + A2.w[1] += Q * CY.w[1]; + + // A2 <<= 49 + A2.w[1] = (A2.w[1] << 49) | (A2.w[0] >> (64 - 49)); + A2.w[0] <<= 49; + + __sub_128_128 (CX, CX, A2); + + CQT.w[1] = Q >> (64 - 49); + CQT.w[0] = Q << 49; + __add_128_128 (CQ, CQ, CQT); + + lx = (double) CX.w[1] * t64.d + (double) CX.w[0]; + lq = lx / ly; + } + + Q = (UINT64) lq; + + __mul_64x64_to_128 (A2, Q, CY.w[0]); + A2.w[1] += Q * CY.w[1]; + + __sub_128_128 (CX, CX, A2); + if ((SINT64) CX.w[1] < 0) { + Q--; + CX.w[0] += CY.w[0]; + if (CX.w[0] < CY.w[0]) + CX.w[1]++; + CX.w[1] += CY.w[1]; + if ((SINT64) CX.w[1] < 0) { + Q--; + CX.w[0] += CY.w[0]; + if (CX.w[0] < CY.w[0]) + CX.w[1]++; + CX.w[1] += CY.w[1]; + } + } else if (__unsigned_compare_ge_128 (CX, CY)) { + Q++; + __sub_128_128 (CX, CX, CY); + } + + __add_128_64 (CQ, CQ, Q); + + + pCQ->w[1] = CQ.w[1]; + pCQ->w[0] = CQ.w[0]; + pCR->w[1] = CX.w[1]; + pCR->w[0] = CX.w[0]; + return; +} + + +__BID_INLINE__ void +__div_256_by_128 (UINT128 * pCQ, UINT256 * pCA4, UINT128 CY) { + UINT256 CA4, CA2, CY51, CY36; + UINT128 CQ, A2, A2h, CQT; + UINT64 Q, carry64; + int_double t64, d49, d60; + double lx, ly, lq, d128, d192; + + // the quotient is assumed to be at most 113 bits, + // as needed by BID128 divide routines + + // initial dividend + CA4.w[3] = (*pCA4).w[3]; + CA4.w[2] = (*pCA4).w[2]; + CA4.w[1] = (*pCA4).w[1]; + CA4.w[0] = (*pCA4).w[0]; + CQ.w[1] = (*pCQ).w[1]; + CQ.w[0] = (*pCQ).w[0]; + + // 2^64 + t64.i = 0x43f0000000000000ull; + d128 = t64.d * t64.d; + d192 = d128 * t64.d; + lx = (double) CA4.w[3] * d192 + ((double) CA4.w[2] * d128 + + ((double) CA4.w[1] * t64.d + + (double) CA4.w[0])); + ly = (double) CY.w[1] * t64.d + (double) CY.w[0]; + lq = lx / ly; + + CY36.w[2] = CY.w[1] >> (64 - 36); + CY36.w[1] = (CY.w[1] << 36) | (CY.w[0] >> (64 - 36)); + CY36.w[0] = CY.w[0] << 36; + + CQ.w[1] = (*pCQ).w[1]; + CQ.w[0] = (*pCQ).w[0]; + + // Q >= 2^100 ? + if (CA4.w[3] > CY36.w[2] + || (CA4.w[3] == CY36.w[2] + && (CA4.w[2] > CY36.w[1] + || (CA4.w[2] == CY36.w[1] && CA4.w[1] >= CY36.w[0])))) { + // 2^(-60)*CA4/CY + d60.i = 0x3c30000000000000ull; + lq *= d60.d; + Q = (UINT64) lq - 4ull; + + // Q*CY + __mul_64x128_to_192 (CA2, Q, CY); + + // CA2 <<= 60 + // CA2.w[3] = CA2.w[2] >> (64-60); + CA2.w[2] = (CA2.w[2] << 60) | (CA2.w[1] >> (64 - 60)); + CA2.w[1] = (CA2.w[1] << 60) | (CA2.w[0] >> (64 - 60)); + CA2.w[0] <<= 60; + + // CA4 -= CA2 + __sub_borrow_out (CA4.w[0], carry64, CA4.w[0], CA2.w[0]); + __sub_borrow_in_out (CA4.w[1], carry64, CA4.w[1], CA2.w[1], + carry64); + CA4.w[2] = CA4.w[2] - CA2.w[2] - carry64; + + lx = ((double) CA4.w[2] * d128 + + ((double) CA4.w[1] * t64.d + (double) CA4.w[0])); + lq = lx / ly; + + CQT.w[1] = Q >> (64 - 60); + CQT.w[0] = Q << 60; + __add_128_128 (CQ, CQ, CQT); + } + + CY51.w[2] = CY.w[1] >> (64 - 51); + CY51.w[1] = (CY.w[1] << 51) | (CY.w[0] >> (64 - 51)); + CY51.w[0] = CY.w[0] << 51; + + if (CA4.w[2] > CY51.w[2] || ((CA4.w[2] == CY51.w[2]) + && + (__unsigned_compare_gt_128 (CA4, CY51)))) + { + // Q > 2^51 + + // 2^(-49)*CA4/CY + d49.i = 0x3ce0000000000000ull; + lq *= d49.d; + + Q = (UINT64) lq - 1ull; + + // Q*CY + __mul_64x64_to_128 (A2, Q, CY.w[0]); + __mul_64x64_to_128 (A2h, Q, CY.w[1]); + A2.w[1] += A2h.w[0]; + if (A2.w[1] < A2h.w[0]) + A2h.w[1]++; + + // A2 <<= 49 + CA2.w[2] = (A2h.w[1] << 49) | (A2.w[1] >> (64 - 49)); + CA2.w[1] = (A2.w[1] << 49) | (A2.w[0] >> (64 - 49)); + CA2.w[0] = A2.w[0] << 49; + + __sub_borrow_out (CA4.w[0], carry64, CA4.w[0], CA2.w[0]); + __sub_borrow_in_out (CA4.w[1], carry64, CA4.w[1], CA2.w[1], + carry64); + CA4.w[2] = CA4.w[2] - CA2.w[2] - carry64; + + CQT.w[1] = Q >> (64 - 49); + CQT.w[0] = Q << 49; + __add_128_128 (CQ, CQ, CQT); + + lx = ((double) CA4.w[2] * d128 + + ((double) CA4.w[1] * t64.d + (double) CA4.w[0])); + lq = lx / ly; + } + + Q = (UINT64) lq; + __mul_64x64_to_128 (A2, Q, CY.w[0]); + A2.w[1] += Q * CY.w[1]; + + __sub_128_128 (CA4, CA4, A2); + if ((SINT64) CA4.w[1] < 0) { + Q--; + CA4.w[0] += CY.w[0]; + if (CA4.w[0] < CY.w[0]) + CA4.w[1]++; + CA4.w[1] += CY.w[1]; + if ((SINT64) CA4.w[1] < 0) { + Q--; + CA4.w[0] += CY.w[0]; + if (CA4.w[0] < CY.w[0]) + CA4.w[1]++; + CA4.w[1] += CY.w[1]; + } + } else if (__unsigned_compare_ge_128 (CA4, CY)) { + Q++; + __sub_128_128 (CA4, CA4, CY); + } + + __add_128_64 (CQ, CQ, Q); + + pCQ->w[1] = CQ.w[1]; + pCQ->w[0] = CQ.w[0]; + pCA4->w[1] = CA4.w[1]; + pCA4->w[0] = CA4.w[0]; + return; + + + +} + +#endif +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_dpd.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_dpd.c new file mode 100644 index 0000000000..7c36c0c13d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_dpd.c @@ -0,0 +1,782 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#define DECNUMDIGITS 34 // work with up to 34 digits + +#include "bid_internal.h" +#include "bid_b2d.h" + +UINT32 +bid_to_bid32 (UINT32 ba) { + UINT32 res; + UINT32 sign, comb, exp; + UINT32 trailing; + UINT32 bcoeff; + + sign = (ba & 0x80000000ul); + comb = (ba & 0x7ff00000ul) >> 20; + trailing = (ba & 0x000ffffful); + + if ((comb & 0x780) == 0x780) { + ba &= 0xfff0000ul; + return ba; + } else { + if ((comb & 0x600) == 0x600) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0xff; + bcoeff = ((8 + (comb & 1)) << 20) | trailing; + } else { + exp = (comb >> 3) & 0xff; + bcoeff = ((comb & 7) << 20) | trailing; + } + if (bcoeff >= 10000000) + bcoeff = 0; + res = very_fast_get_BID32 (sign, exp, bcoeff); + } + return res; +} + +UINT64 +bid_to_bid64 (UINT64 ba) { + UINT64 res; + UINT64 sign, comb, exp; + UINT64 trailing; + UINT64 bcoeff; + + sign = (ba & 0x8000000000000000ull); + comb = (ba & 0x7ffc000000000000ull) >> 50; + trailing = (ba & 0x0003ffffffffffffull); + + if ((comb & 0x1e00) == 0x1e00) { + ba &= 0xfff000000000000ULL; + return ba; + } else { + if ((comb & 0x1800) == 0x1800) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0x3ff; + bcoeff = ((8 + (comb & 1)) << 50) | trailing; + } else { + exp = (comb >> 3) & 0x3ff; + bcoeff = ((comb & 7) << 50) | trailing; + } + if (bcoeff >= 10000000000000000ull) + bcoeff = 0ull; + res = very_fast_get_BID64 (sign, exp, bcoeff); + } + return res; +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid_to_dpd32 (UINT32 * pres, UINT32 * pba) { + UINT32 ba = *pba; +#else +UINT32 +bid_to_dpd32 (UINT32 ba) { +#endif + UINT32 res; + + UINT32 sign, comb, exp, trailing; + UINT32 b0, b1, b2; + UINT32 bcoeff, dcoeff; + UINT32 nanb = 0; + + sign = (ba & 0x80000000); + comb = (ba & 0x7ff00000) >> 20; + trailing = (ba & 0xfffff); + + // Detect infinity, and return canonical infinity + if ((comb & 0x7c0) == 0x780) { + res = sign | 0x78000000; + BID_RETURN (res); + // Detect NaN, and canonicalize trailing + } else if ((comb & 0x7c0) == 0x7c0) { + if (trailing > 999999) + trailing = 0; + nanb = ba & 0xfe000000; + exp = 0; + bcoeff = trailing; + } else { // Normal number + if ((comb & 0x600) == 0x600) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0xff; + bcoeff = ((8 + (comb & 1)) << 20) | trailing; + } else { + exp = (comb >> 3) & 0xff; + bcoeff = ((comb & 7) << 20) | trailing; + } + // Zero the coefficient if non-canonical (>= 10^7) + if (bcoeff >= 10000000) + bcoeff = 0; + } + + b0 = bcoeff / 1000000; + b1 = (bcoeff / 1000) % 1000; + b2 = bcoeff % 1000; + dcoeff = (b2d[b1] << 10) | b2d[b2]; + + if (b0 >= 8) // is b0 8 or 9? + res = + sign | + ((0x600 | ((exp >> 6) << 7) | ((b0 & 1) << 6) | (exp & 0x3f)) << + 20) | dcoeff; + else // else b0 is 0..7 + res = + sign | ((((exp >> 6) << 9) | (b0 << 6) | (exp & 0x3f)) << 20) | + dcoeff; + + res |= nanb; + + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid_to_dpd64 (UINT64 * pres, UINT64 * pba) { + UINT64 ba = *pba; +#else +UINT64 +bid_to_dpd64 (UINT64 ba) { +#endif + UINT64 res; + + UINT64 sign, comb, exp; + UINT64 trailing; + UINT32 b0, b1, b2, b3, b4, b5; + UINT64 bcoeff; + UINT64 dcoeff; + UINT32 yhi, ylo; + UINT64 nanb = 0; + +//printf("arg bid "FMT_LLX16" \n", ba); + sign = (ba & 0x8000000000000000ull); + comb = (ba & 0x7ffc000000000000ull) >> 50; + trailing = (ba & 0x0003ffffffffffffull); + + // Detect infinity, and return canonical infinity + if ((comb & 0x1f00) == 0x1e00) { + res = sign | 0x7800000000000000ull; + BID_RETURN (res); + // Detect NaN, and canonicalize trailing + } else if ((comb & 0x1e00) == 0x1e00) { + if (trailing > 999999999999999ull) + trailing = 0; + nanb = ba & 0xfe00000000000000ull; + exp = 0; + bcoeff = trailing; + } else { // Normal number + if ((comb & 0x1800) == 0x1800) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0x3ff; + bcoeff = ((8 + (comb & 1)) << 50) | trailing; + } else { + exp = (comb >> 3) & 0x3ff; + bcoeff = ((comb & 7) << 50) | trailing; + } + + // Zero the coefficient if it is non-canonical (>= 10^16) + if (bcoeff >= 10000000000000000ull) + bcoeff = 0; + } + +// Floor(2^61 / 10^9) +#define D61 (2305843009ull) + +// Multipy the binary coefficient by ceil(2^64 / 1000), and take the upper +// 64-bits in order to compute a division by 1000. + +#if 1 + yhi = + ((UINT64) D61 * + (UINT64) (UINT32) (bcoeff >> (UINT64) 27)) >> (UINT64) 34; + ylo = bcoeff - 1000000000ull * yhi; + if (ylo >= 1000000000) { + ylo = ylo - 1000000000; + yhi = yhi + 1; + } +#else + yhi = bcoeff / 1000000000ull; + ylo = bcoeff % 1000000000ull; +#endif + + // yhi = ABBBCCC ylo = DDDEEEFFF + b5 = ylo % 1000; // b5 = FFF + b3 = ylo / 1000000; // b3 = DDD + b4 = (ylo / 1000) - (1000 * b3); // b4 = EEE + b2 = yhi % 1000; // b2 = CCC + b0 = yhi / 1000000; // b0 = A + b1 = (yhi / 1000) - (1000 * b0); // b1 = BBB + + dcoeff = b2d[b5] | b2d2[b4] | b2d3[b3] | b2d4[b2] | b2d5[b1]; + + if (b0 >= 8) // is b0 8 or 9? + res = + sign | + ((0x1800 | ((exp >> 8) << 9) | ((b0 & 1) << 8) | (exp & 0xff)) << + 50) | dcoeff; + else // else b0 is 0..7 + res = + sign | ((((exp >> 8) << 11) | (b0 << 8) | (exp & 0xff)) << 50) | + dcoeff; + + res |= nanb; + + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +dpd_to_bid32 (UINT32 * pres, UINT32 * pda) { + UINT32 da = *pda; +#else +UINT32 +dpd_to_bid32 (UINT32 da) { +#endif + UINT32 in = *(UINT32 *) & da; + UINT32 res; + + UINT32 sign, comb, exp; + UINT32 trailing; + UINT32 d0 = 0, d1, d2; + UINT64 bcoeff; + UINT32 nanb = 0; + + sign = (in & 0x80000000); + comb = (in & 0x7ff00000) >> 20; + trailing = (in & 0x000fffff); + + if ((comb & 0x7e0) == 0x780) { // G0..G4 = 1111 -> Inf + res = in & 0xf8000000; + BID_RETURN (res); + } else if ((comb & 0x7c0) == 0x7c0) { // G0..G5 = 11111 -> NaN + nanb = in & 0xfe000000; + exp = 0; + } else { // Normal number + if ((comb & 0x600) == 0x600) { // G0..G1 = 11 -> d0 = 8 + G4 + d0 = ((comb >> 6) & 1) | 8; + exp = ((comb & 0x180) >> 1) | (comb & 0x3f); + } else { + d0 = (comb >> 6) & 0x7; + exp = ((comb & 0x600) >> 3) | (comb & 0x3f); + } + } + d1 = d2b2[(trailing >> 10) & 0x3ff]; + d2 = d2b[(trailing) & 0x3ff]; + + bcoeff = d2 + d1 + (1000000 * d0); + if (bcoeff < 0x800000) { + res = (exp << 23) | bcoeff | sign; + } else { + res = (exp << 21) | sign | 0x60000000 | (bcoeff & 0x1fffff); + } + + res |= nanb; + + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +dpd_to_bid64 (UINT64 * pres, UINT64 * pda) { + UINT64 da = *pda; +#else +UINT64 +dpd_to_bid64 (UINT64 da) { +#endif + UINT64 in = *(UINT64 *) & da; + UINT64 res; + + UINT64 sign, comb, exp; + UINT64 trailing; + // UINT64 d0, d1, d2, d3, d4, d5; + + UINT64 d1, d2; + UINT32 d0, d3, d4, d5; + UINT64 bcoeff; + UINT64 nanb = 0; + +//printf("arg dpd "FMT_LLX16" \n", in); + sign = (in & 0x8000000000000000ull); + comb = (in & 0x7ffc000000000000ull) >> 50; + trailing = (in & 0x0003ffffffffffffull); + + if ((comb & 0x1f00) == 0x1e00) { // G0..G4 = 1111 -> Inf + res = in & 0xf800000000000000ull; + BID_RETURN (res); + } else if ((comb & 0x1f00) == 0x1f00) { // G0..G5 = 11111 -> NaN + nanb = in & 0xfe00000000000000ull; + exp = 0; + d0 = 0; + } else { // Normal number + if ((comb & 0x1800) == 0x1800) { // G0..G1 = 11 -> d0 = 8 + G4 + d0 = ((comb >> 8) & 1) | 8; + // d0 = (comb & 0x0100 ? 9 : 8); + exp = (comb & 0x600) >> 1; + // exp = (comb & 0x0400 ? 1 : 0) * 0x200 + (comb & 0x0200 ? 1 : 0) * 0x100; // exp leading bits are G2..G3 + } else { + d0 = (comb >> 8) & 0x7; + exp = (comb & 0x1800) >> 3; + // exp = (comb & 0x1000 ? 1 : 0) * 0x200 + (comb & 0x0800 ? 1 : 0) * 0x100; // exp loading bits are G0..G1 + } + } + d1 = d2b5[(trailing >> 40) & 0x3ff]; + d2 = d2b4[(trailing >> 30) & 0x3ff]; + d3 = d2b3[(trailing >> 20) & 0x3ff]; + d4 = d2b2[(trailing >> 10) & 0x3ff]; + d5 = d2b[(trailing) & 0x3ff]; + + bcoeff = (d5 + d4 + d3) + d2 + d1 + (1000000000000000ull * d0); + exp += (comb & 0xff); + res = very_fast_get_BID64 (sign, exp, bcoeff); + + res |= nanb; + + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid_to_dpd128 (UINT128 * pres, UINT128 * pba) { + UINT128 ba = *pba; +#else +UINT128 +bid_to_dpd128 (UINT128 ba) { +#endif + UINT128 res; + + UINT128 sign; + UINT32 comb, exp; + UINT128 trailing; + UINT128 d0, d1, d2, d3, d4, d5, d6, d7, d8, d9, d10, d11; + UINT128 bcoeff; + UINT128 dcoeff; + UINT64 nanb = 0; + + sign.w[1] = (ba.w[HIGH_128W] & 0x8000000000000000ull); + sign.w[0] = 0; + comb = (ba.w[HIGH_128W] & 0x7fffc00000000000ull) >> 46; + trailing.w[1] = (ba.w[HIGH_128W] & 0x00003fffffffffffull); + trailing.w[0] = ba.w[LOW_128W]; + exp = 0; + + if ((comb & 0x1f000) == 0x1e000) { // G0..G4 = 1111 -> Inf + res.w[HIGH_128W] = ba.w[HIGH_128W] & 0xf800000000000000ull; + res.w[LOW_128W] = 0; + BID_RETURN (res); + // Detect NaN, and canonicalize trailing + } else if ((comb & 0x1f000) == 0x1f000) { + if ((trailing.w[1] > 0x0000314dc6448d93ULL) || // significand is non-canonical + ((trailing.w[1] == 0x0000314dc6448d93ULL) + && (trailing.w[0] >= 0x38c15b0a00000000ULL)) + // significand is non-canonical + ) { + trailing.w[1] = trailing.w[0] = 0ull; + } + bcoeff.w[1] = trailing.w[1]; + bcoeff.w[0] = trailing.w[0]; + nanb = ba.w[HIGH_128W] & 0xfe00000000000000ull; + exp = 0; + } else { // Normal number + if ((comb & 0x18000) == 0x18000) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0x3fff; + bcoeff.w[1] = + ((UINT64) (8 + (comb & 1)) << (UINT64) 46) | trailing.w[1]; + bcoeff.w[0] = trailing.w[0]; + } else { + exp = (comb >> 3) & 0x3fff; + bcoeff.w[1] = + ((UINT64) (comb & 7) << (UINT64) 46) | trailing.w[1]; + bcoeff.w[0] = trailing.w[0]; + } + // Zero the coefficient if non-canonical (>= 10^34) + if (bcoeff.w[1] > 0x1ed09bead87c0ull || + (bcoeff.w[1] == 0x1ed09bead87c0ull + && bcoeff.w[0] >= 0x378D8E6400000000ull)) { + bcoeff.w[0] = bcoeff.w[1] = 0; + } + } + // Constant 2^128 / 1000 + 1 + { + UINT128 t; + UINT64 t2; + UINT128 d1000; + UINT128 b11, b10, b9, b8, b7, b6, b5, b4, b3, b2, b1; + d1000.w[1] = 0x4189374BC6A7EFull; + d1000.w[0] = 0x9DB22D0E56041894ull; + __mul_128x128_high (b11, bcoeff, d1000); + __mul_128x128_high (b10, b11, d1000); + __mul_128x128_high (b9, b10, d1000); + __mul_128x128_high (b8, b9, d1000); + __mul_128x128_high (b7, b8, d1000); + __mul_128x128_high (b6, b7, d1000); + __mul_128x128_high (b5, b6, d1000); + __mul_128x128_high (b4, b5, d1000); + __mul_128x128_high (b3, b4, d1000); + __mul_128x128_high (b2, b3, d1000); + __mul_128x128_high (b1, b2, d1000); + + + __mul_64x128_full (t2, t, 1000ull, b11); + __sub_128_128 (d11, bcoeff, t); + __mul_64x128_full (t2, t, 1000ull, b10); + __sub_128_128 (d10, b11, t); + __mul_64x128_full (t2, t, 1000ull, b9); + __sub_128_128 (d9, b10, t); + __mul_64x128_full (t2, t, 1000ull, b8); + __sub_128_128 (d8, b9, t); + __mul_64x128_full (t2, t, 1000ull, b7); + __sub_128_128 (d7, b8, t); + __mul_64x128_full (t2, t, 1000ull, b6); + __sub_128_128 (d6, b7, t); + __mul_64x128_full (t2, t, 1000ull, b5); + __sub_128_128 (d5, b6, t); + __mul_64x128_full (t2, t, 1000ull, b4); + __sub_128_128 (d4, b5, t); + __mul_64x128_full (t2, t, 1000ull, b3); + __sub_128_128 (d3, b4, t); + __mul_64x128_full (t2, t, 1000ull, b2); + __sub_128_128 (d2, b3, t); + __mul_64x128_full (t2, t, 1000ull, b1); + __sub_128_128 (d1, b2, t); + d0 = b1; + + } + + dcoeff.w[0] = b2d[d11.w[0]] | (b2d[d10.w[0]] << 10) | + (b2d[d9.w[0]] << 20) | (b2d[d8.w[0]] << 30) | (b2d[d7.w[0]] << 40) | + (b2d[d6.w[0]] << 50) | (b2d[d5.w[0]] << 60); + dcoeff.w[1] = + (b2d[d5.w[0]] >> 4) | (b2d[d4.w[0]] << 6) | (b2d[d3.w[0]] << 16) | + (b2d[d2.w[0]] << 26) | (b2d[d1.w[0]] << 36); + + res.w[0] = dcoeff.w[0]; + if (d0.w[0] >= 8) { + res.w[1] = + sign. + w[1] | + ((0x18000 | ((exp >> 12) << 13) | ((d0.w[0] & 1) << 12) | + (exp & 0xfff)) << 46) | dcoeff.w[1]; + } else { + res.w[1] = + sign. + w[1] | ((((exp >> 12) << 15) | (d0.w[0] << 12) | (exp & 0xfff)) + << 46) | dcoeff.w[1]; + } + + res.w[1] |= nanb; + + BID_SWAP128 (res); + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +dpd_to_bid128 (UINT128 * pres, UINT128 * pda) { + UINT128 da = *pda; +#else +UINT128 +dpd_to_bid128 (UINT128 da) { +#endif + UINT128 in = *(UINT128 *) & da; + UINT128 res; + + UINT128 sign; + UINT64 exp, comb; + UINT128 trailing; + UINT64 d0, d1, d2, d3, d4, d5, d6, d7, d8, d9, d10, d11; + UINT128 bcoeff; + UINT64 tl, th; + UINT64 nanb = 0; + + sign.w[1] = (in.w[HIGH_128W] & 0x8000000000000000ull); + sign.w[0] = 0; + comb = (in.w[HIGH_128W] & 0x7fffc00000000000ull) >> 46; + trailing.w[1] = (in.w[HIGH_128W] & 0x00003fffffffffffull); + trailing.w[0] = in.w[LOW_128W]; + exp = 0; + + if ((comb & 0x1f000) == 0x1e000) { // G0..G4 = 1111 -> Inf + res.w[HIGH_128W] = in.w[HIGH_128W] & 0xf800000000000000ull; + res.w[LOW_128W] = 0ull; + BID_RETURN (res); + } else if ((comb & 0x1f000) == 0x1f000) { // G0..G4 = 11111 -> NaN + nanb = in.w[HIGH_128W] & 0xfe00000000000000ull; + exp = 0; + d0 = 0; + } else { // Normal number + if ((comb & 0x18000) == 0x18000) { // G0..G1 = 11 -> d0 = 8 + G4 + d0 = 8 + (comb & 0x01000 ? 1 : 0); + exp = + (comb & 0x04000 ? 1 : 0) * 0x2000 + + (comb & 0x02000 ? 1 : 0) * 0x1000; + // exp leading bits are G2..G3 + } else { + d0 = + 4 * (comb & 0x04000 ? 1 : 0) + 2 * (comb & 0x2000 ? 1 : 0) + + (comb & 0x1000 ? 1 : 0); + exp = + (comb & 0x10000 ? 1 : 0) * 0x2000 + + (comb & 0x08000 ? 1 : 0) * 0x1000; + // exp loading bits are G0..G1 + } + } + + d11 = d2b[(trailing.w[0]) & 0x3ff]; + d10 = d2b[(trailing.w[0] >> 10) & 0x3ff]; + d9 = d2b[(trailing.w[0] >> 20) & 0x3ff]; + d8 = d2b[(trailing.w[0] >> 30) & 0x3ff]; + d7 = d2b[(trailing.w[0] >> 40) & 0x3ff]; + d6 = d2b[(trailing.w[0] >> 50) & 0x3ff]; + d5 = d2b[(trailing.w[0] >> 60) | ((trailing.w[1] & 0x3f) << 4)]; + d4 = d2b[(trailing.w[1] >> 6) & 0x3ff]; + d3 = d2b[(trailing.w[1] >> 16) & 0x3ff]; + d2 = d2b[(trailing.w[1] >> 26) & 0x3ff]; + d1 = d2b[(trailing.w[1] >> 36) & 0x3ff]; + + tl = + d11 + (d10 * 1000ull) + (d9 * 1000000ull) + (d8 * 1000000000ull) + + (d7 * 1000000000000ull) + (d6 * 1000000000000000ull); + th = + d5 + (d4 * 1000ull) + (d3 * 1000000ull) + (d2 * 1000000000ull) + + (d1 * 1000000000000ull) + (d0 * 1000000000000000ull); + __mul_64x64_to_128 (bcoeff, th, 1000000000000000000ull); + __add_128_64 (bcoeff, bcoeff, tl); + + if (!nanb) + exp += (comb & 0xfff); + + res.w[0] = bcoeff.w[0]; + res.w[1] = (exp << 49) | sign.w[1] | bcoeff.w[1]; + + res.w[1] |= nanb; + + BID_SWAP128 (res); + BID_RETURN (res); +} + +UINT128 +bid_to_bid128 (UINT128 bq) { + UINT128 res; + UINT64 sign, comb, exp; + UINT64 trailing; + UINT64 bcoeff; + + UINT128 rq; + UINT128 qcoeff; + UINT64 ba, bb; + + ba = *((UINT64 *) & bq + HIGH_128W); + bb = *((UINT64 *) & bq + LOW_128W); + + sign = (ba & 0x8000000000000000ull); + comb = (ba & 0x7fffc00000000000ull) >> 46; + trailing = (ba & 0x00003fffffffffffull); + + if ((comb & 0x18000) == 0x18000) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0x3fff; + bcoeff = ((8 + (comb & 1)) << 46) | trailing; + } else { + exp = (comb >> 3) & 0x3fff; + bcoeff = ((comb & 7) << 46) | trailing; + } + + if ((comb & 0x1f000) == 0x1f000) { //NaN + ba &= 0xfe003fffffffffffULL; // make exponent 0 + bcoeff &= 0x00003fffffffffffull; // NaN payloat is only T. + if ((bcoeff > 0x0000314dc6448d93ULL) || // significand is non-canonical + ((bcoeff == 0x0000314dc6448d93ULL) + && (bb >= 0x38c15b0a00000000ULL)) + // significand is non-canonical + ) { + bcoeff = 0ull; + ba &= ~0x00003fffffffffffull; + bb = 0ull; + } + *((UINT64 *) & rq + HIGH_128W) = ba; + *((UINT64 *) & rq + LOW_128W) = bb; + return rq; + } else if ((comb & 0x1e000) == 0x1e000) { //Inf + ba &= 0xf800000000000000ULL; // make exponent and significand 0 + bb = 0; + *((UINT64 *) & rq + HIGH_128W) = ba; + *((UINT64 *) & rq + LOW_128W) = bb; + return rq; + } + + if ((bcoeff > 0x0001ed09bead87c0ull) + || ((bcoeff == 0x0001ed09bead87c0ull) + && (bb > 0x378d8e63ffffffffull))) { + // significand is non-canonical + bcoeff = 0ull; + bb = 0ull; + } + + *((UINT64 *) & qcoeff + 1) = bcoeff; + *((UINT64 *) & qcoeff + 0) = bb; + + get_BID128_fast (&res, sign, exp, qcoeff); + + BID_SWAP128 (res); + return res; +} + +UINT32 +bid32_canonize (UINT32 ba) { + FPSC bidrnd; + unsigned int rnd = 0; + + UINT32 res; + UINT32 sign, comb, exp; + UINT32 trailing; + UINT32 bcoeff; + + sign = (ba & 0x80000000); + comb = (ba & 0x7ff00000) >> 20; + trailing = (ba & 0x000fffff); + + if ((comb & 0x600) == 0x600) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0xff; + bcoeff = ((8 + (comb & 1)) << 20) | trailing; + } else { + exp = (comb >> 3) & 0xff; + bcoeff = ((comb & 7) << 20) | trailing; + } + + if ((comb & 0x7c0) == 0x7c0) { //NaN + ba &= 0xfe0fffff; // make exponent 0 + bcoeff &= 0x000fffff; // NaN payloat is only T. + if (bcoeff >= 1000000) + ba &= 0xfff00000; //treat non-canonical significand + return ba; + } else if ((comb & 0x780) == 0x780) { //Inf + ba &= 0xf8000000; // make exponent and significand 0 + return ba; + } + + if (bcoeff >= 10000000) + bcoeff = 0; + rnd = bidrnd = ROUNDING_TO_NEAREST; + res = get_BID32 (sign, exp, bcoeff, rnd, &bidrnd); + return res; +} + +UINT64 +bid64_canonize (UINT64 ba) { + UINT64 res; + UINT64 sign, comb, exp; + UINT64 trailing; + UINT64 bcoeff; + + sign = (ba & 0x8000000000000000ull); + comb = (ba & 0x7ffc000000000000ull) >> 50; + trailing = (ba & 0x0003ffffffffffffull); + + + if ((comb & 0x1800) == 0x1800) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0x3ff; + bcoeff = ((8 + (comb & 1)) << 50) | trailing; + } else { + exp = (comb >> 3) & 0x3ff; + bcoeff = ((comb & 7) << 50) | trailing; + } + + if ((comb & 0x1f00) == 0x1f00) { //NaN + ba &= 0xfe03ffffffffffffULL; // make exponent 0 + bcoeff &= 0x0003ffffffffffffull; // NaN payloat is only T. + if (bcoeff >= 1000000000000000ull) + ba &= 0xfe00000000000000ull; // treat non canonical significand and zero G6-G12 + return ba; + } else if ((comb & 0x1e00) == 0x1e00) { //Inf + ba &= 0xf800000000000000ULL; // make exponent and significand 0 + return ba; + } + + if (bcoeff >= 10000000000000000ull) { + bcoeff = 0ull; + } + res = very_fast_get_BID64 (sign, exp, bcoeff); + return res; +} + +UINT128 +bid128_canonize (UINT128 bq) { + UINT128 res; + UINT64 sign, comb, exp; + UINT64 trailing; + UINT64 bcoeff; + + UINT128 rq; + UINT128 qcoeff; + UINT64 ba, bb; + + ba = *((UINT64 *) & bq + HIGH_128W); + bb = *((UINT64 *) & bq + LOW_128W); + + sign = (ba & 0x8000000000000000ull); + comb = (ba & 0x7fffc00000000000ull) >> 46; + trailing = (ba & 0x00003fffffffffffull); + + if ((comb & 0x18000) == 0x18000) { // G0..G1 = 11 -> exp is G2..G11 + exp = (comb >> 1) & 0x3fff; + bcoeff = ((8 + (comb & 1)) << 46) | trailing; + } else { + exp = (comb >> 3) & 0x3fff; + bcoeff = ((comb & 7) << 46) | trailing; + } + + if ((comb & 0x1f000) == 0x1f000) { //NaN + ba &= 0xfe003fffffffffffULL; // make exponent 0 + bcoeff &= 0x00003fffffffffffull; // NaN payload is only T. + + if ((bcoeff > 0x0000314dc6448d93ULL) || // significand is non-canonical + ((bcoeff == 0x0000314dc6448d93ULL) + && (bb >= 0x38c15b0a00000000ULL)) + // significand is non-canonical + ) { + bcoeff = 0ull; + ba &= ~0x00003fffffffffffull; + bb = 0ull; + } + *((UINT64 *) & rq + HIGH_128W) = ba; + *((UINT64 *) & rq + LOW_128W) = bb; + return rq; + } else if ((comb & 0x1e000) == 0x1e000) { //Inf + ba &= 0xf800000000000000ULL; // make exponent and significand 0 + bb = 0; + *((UINT64 *) & rq + HIGH_128W) = ba; + *((UINT64 *) & rq + LOW_128W) = bb; + return rq; + } + + if ((bcoeff > 0x0001ed09bead87c0ull) || // significand is non-canonical + ((bcoeff == 0x0001ed09bead87c0ull) + && (bb > 0x378d8e63ffffffffull)) + // significand is non-canonical + ) { + bcoeff = 0ull; + bb = 0ull; + } + + *((UINT64 *) & qcoeff + 1) = bcoeff; + *((UINT64 *) & qcoeff + 0) = bb; + + get_BID128_fast (&res, sign, exp, qcoeff); + BID_SWAP128 (res); + return res; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_flag_operations.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_flag_operations.c new file mode 100644 index 0000000000..449a4ab0c5 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_flag_operations.c @@ -0,0 +1,345 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * Non-computational Operations on Flags: + ****************************************************************************/ + +#include "bid_internal.h" + +// Note the following definitions from bid_conf.h: if the status flags are +// global, they have a fixed name recognized by the library functions: +// _IDEC_glbflags; pfpsf, defined as &_IDEC_glbflags, can be used instead; no +// argument is passed for the status flags to the library functions; if the +// status flags are local then they are passed as an arument, always by +// reference, to the library functions +// +// #if !DECIMAL_GLOBAL_EXCEPTION_FLAGS +// #define _EXC_FLAGS_PARAM , _IDEC_flags *pfpsf +// #else +// extern _IDEC_flags _IDEC_glbflags; +// #define _EXC_FLAGS_PARAM +// #define pfpsf &_IDEC_glbflags +// #endif + +#if DECIMAL_CALL_BY_REFERENCE +void +signalException (_IDEC_flags * pflagsmask _EXC_FLAGS_PARAM) { + // *pflagsmask is the logical OR of the flags to be set, e.g. + // *pflagsmask =INVALID_EXCEPTION | ZERO_DIVIDE_EXCEPTION | OVERFLOW_EXCEPTION + // UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION to set all five IEEE 754R + // exception flags + *pfpsf = *pfpsf | (*pflagsmask & BID_IEEE_FLAGS); +} +#else +void +signalException (_IDEC_flags flagsmask _EXC_FLAGS_PARAM) { + // flagsmask is the logical OR of the flags to be set, e.g. + // flagsmask = INVALID_EXCEPTION | ZERO_DIVIDE_EXCEPTION | OVERFLOW_EXCEPTION + // UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION to set all five IEEE 754R + // exception flags + *pfpsf = *pfpsf | (flagsmask & BID_IEEE_FLAGS); +} +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +lowerFlags (_IDEC_flags * pflagsmask _EXC_FLAGS_PARAM) { + // *pflagsmask is the logical OR of the flags to be cleared, e.g. + // *pflagsmask =INVALID_EXCEPTION | ZERO_DIVIDE_EXCEPTION | OVERFLOW_EXCEPTION + // UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION to clear all five IEEE 754R + // exception flags + *pfpsf = *pfpsf & ~(*pflagsmask & BID_IEEE_FLAGS); +} +#else +void +lowerFlags (_IDEC_flags flagsmask _EXC_FLAGS_PARAM) { + // flagsmask is the logical OR of the flags to be cleared, e.g. + // flagsmask = INVALID_EXCEPTION | ZERO_DIVIDE_EXCEPTION | OVERFLOW_EXCEPTION + // UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION to clear all five IEEE 754R + // exception flags + *pfpsf = *pfpsf & ~(flagsmask & BID_IEEE_FLAGS); +} +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +testFlags (_IDEC_flags * praised, + _IDEC_flags * pflagsmask _EXC_FLAGS_PARAM) { + // *praised is a pointer to the result, i.e. the logical OR of the flags + // selected by *pflagsmask that are set; e.g. if + // *pflagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION + // and only the invalid and inexact flags are raised (set) then upon return + // *praised = INVALID_EXCEPTION | INEXACT_EXCEPTION + *praised = *pfpsf & (*pflagsmask & BID_IEEE_FLAGS); +} +#else +_IDEC_flags +testFlags (_IDEC_flags flagsmask _EXC_FLAGS_PARAM) { + _IDEC_flags raised; + // the raturn value raised is the logical OR of the flags + // selected by flagsmask, that are set; e.g. if + // flagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION and + // only the invalid and inexact flags are raised (set) then the return value + // is raised = INVALID_EXCEPTION | INEXACT_EXCEPTION + raised = *pfpsf & (flagsmask & BID_IEEE_FLAGS); + return (raised); +} +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +testSavedFlags (_IDEC_flags * praised, _IDEC_flags * psavedflags, + _IDEC_flags * pflagsmask) { + // *praised is a pointer to the result, i.e. the logical OR of the flags + // selected by *pflagsmask that are set in *psavedflags; e.g. if + // *pflagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION + // and only the invalid and inexact flags are raised (set) in *psavedflags + // then upon return *praised = INVALID_EXCEPTION | INEXACT_EXCEPTION + // Note that the flags could be saved in a global variable, but this function + // would still expect that value as an argument passed by reference + *praised = *psavedflags & (*pflagsmask & BID_IEEE_FLAGS); +} +#else +_IDEC_flags +testSavedFlags (_IDEC_flags savedflags, _IDEC_flags flagsmask) { + _IDEC_flags raised; + // the raturn value raised is the logical OR of the flags + // selected by flagsmask, that are set in savedflags; e.g. if + // flagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION and + // only the invalid and inexact flags are raised (set) in savedflags + // then the return value is raised = INVALID_EXCEPTION | INEXACT_EXCEPTION + // Note that the flags could be saved in a global variable, but this function + // would still expect that value as an argument passed by value + raised = savedflags & (flagsmask & BID_IEEE_FLAGS); + return (raised); +} +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +restoreFlags (_IDEC_flags * pflagsvalues, + _IDEC_flags * pflagsmask _EXC_FLAGS_PARAM) { + // restore the status flags selected by *pflagsmask to the values speciafied + // (as a logical OR) in *pflagsvalues; e.g. if + // *pflagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION + // and only the invalid and inexact flags are raised (set) in *pflagsvalues + // then upon return the invalid status flag will be set, the underflow status + // flag will be clear, and the inexact status flag will be set + *pfpsf = *pfpsf & ~(*pflagsmask & BID_IEEE_FLAGS); + // clear flags that have to be restored + *pfpsf = *pfpsf | (*pflagsvalues & (*pflagsmask & BID_IEEE_FLAGS)); + // restore flags +} +#else +void +restoreFlags (_IDEC_flags flagsvalues, + _IDEC_flags flagsmask _EXC_FLAGS_PARAM) { + // restore the status flags selected by flagsmask to the values speciafied + // (as a logical OR) in flagsvalues; e.g. if + // flagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION + // and only the invalid and inexact flags are raised (set) in flagsvalues + // then upon return the invalid status flag will be set, the underflow status + // flag will be clear, and the inexact status flag will be set + *pfpsf = *pfpsf & ~(flagsmask & BID_IEEE_FLAGS); + // clear flags that have to be restored + *pfpsf = *pfpsf | (flagsvalues & (flagsmask & BID_IEEE_FLAGS)); + // restore flags +} +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +saveFlags (_IDEC_flags * pflagsvalues, + _IDEC_flags * pflagsmask _EXC_FLAGS_PARAM) { + // return in *pflagsvalues the status flags specified (as a logical OR) in + // *pflagsmask; e.g. if + // *pflagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION + // and only the invalid and inexact flags are raised (set) in the status word, + // then upon return the value in *pflagsvalues will have the invalid status + // flag set, the underflow status flag clear, and the inexact status flag set + *pflagsvalues = *pfpsf & (*pflagsmask & BID_IEEE_FLAGS); +} +#else +_IDEC_flags +saveFlags (_IDEC_flags flagsmask _EXC_FLAGS_PARAM) { + _IDEC_flags flagsvalues; + // return the status flags specified (as a logical OR) in flagsmask; e.g. if + // flagsmask = INVALID_EXCEPTION | UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION + // and only the invalid and inexact flags are raised (set) in the status word, + // then the return value will have the invalid status flag set, the + // underflow status flag clear, and the inexact status flag set + flagsvalues = *pfpsf & (flagsmask & BID_IEEE_FLAGS); + return (flagsvalues); +} +#endif + +// Note the following definitions from bid_conf.h (rearranged): if the rounding +// mode is global, it has a fixed name recognized by the library functions: +// _IDEC_glbround; rnd_mode, defined as &_IDEC_glbround, can be used instead; no +// argument is passed for the rounding mode to the library functions; if the +// rounding mode is local then it is passed as an arument, by reference or by +// value, to the library functions +// +// #if DECIMAL_CALL_BY_REFERENCE +// #if !DECIMAL_GLOBAL_ROUNDING +// #define _RND_MODE_PARAM , _IDEC_round *prnd_mode +// #else +// #define _RND_MODE_PARAM +// #define rnd_mode _IDEC_glbround +// #endif +// #else +// #if !DECIMAL_GLOBAL_ROUNDING +// #define _RND_MODE_PARAM , _IDEC_round rnd_mode +// #else +// #define _RND_MODE_PARAM +// #define rnd_mode _IDEC_glbround +// #endif +// #endif + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + // #define _RND_MODE_PARAM , _IDEC_round *prnd_mode +void +getDecimalRoundingDirection (_IDEC_round * rounding_mode + _RND_MODE_PARAM) { + // returns the current rounding mode + *rounding_mode = *prnd_mode; +} +#else + // #define _RND_MODE_PARAM + // #define rnd_mode _IDEC_glbround +void +getDecimalRoundingDirection (_IDEC_round * rounding_mode + _RND_MODE_PARAM) { + // returns the current rounding mode + *rounding_mode = rnd_mode; +} +#endif +#else +#if !DECIMAL_GLOBAL_ROUNDING + // #define _RND_MODE_PARAM , _IDEC_round rnd_mode +_IDEC_round +getDecimalRoundingDirection (_IDEC_round rnd_mode) { + // returns the current rounding mode + return (rnd_mode); +} +#else + // #define _RND_MODE_PARAM + // #define rnd_mode _IDEC_glbround +_IDEC_round +getDecimalRoundingDirection (void) { + // returns the current rounding mode + return (rnd_mode); +} +#endif +#endif + +#if DECIMAL_CALL_BY_REFERENCE +#if !DECIMAL_GLOBAL_ROUNDING + // #define _RND_MODE_PARAM , _IDEC_round *prnd_mode +void +setDecimalRoundingDirection (_IDEC_round * rounding_mode + _RND_MODE_PARAM) { + // sets the current rounding mode to the value in *rounding_mode, if valid + if (*rounding_mode == ROUNDING_TO_NEAREST || + *rounding_mode == ROUNDING_DOWN || + *rounding_mode == ROUNDING_UP || + *rounding_mode == ROUNDING_TO_ZERO || + *rounding_mode == ROUNDING_TIES_AWAY) { + *prnd_mode = *rounding_mode; + } +} +#else + // #define _RND_MODE_PARAM + // #define rnd_mode _IDEC_glbround +void +setDecimalRoundingDirection (_IDEC_round * rounding_mode + ) { + // sets the global rounding mode to the value in *rounding_mode, if valid + if (*rounding_mode == ROUNDING_TO_NEAREST || + *rounding_mode == ROUNDING_DOWN || + *rounding_mode == ROUNDING_UP || + *rounding_mode == ROUNDING_TO_ZERO || + *rounding_mode == ROUNDING_TIES_AWAY) { + rnd_mode = *rounding_mode; + } +} +#endif +#else +#if !DECIMAL_GLOBAL_ROUNDING + // #define _RND_MODE_PARAM , _IDEC_round rnd_mode +_IDEC_round +setDecimalRoundingDirection (_IDEC_round rounding_mode _RND_MODE_PARAM) { + // sets the current rounding mode to the value in rounding_mode; + // however, when arguments are passed by value and the rounding mode + // is a local variable, this is not of any use + if (rounding_mode == ROUNDING_TO_NEAREST || + rounding_mode == ROUNDING_DOWN || + rounding_mode == ROUNDING_UP || + rounding_mode == ROUNDING_TO_ZERO || + rounding_mode == ROUNDING_TIES_AWAY) { + return (rounding_mode); + } + return (rnd_mode); +} +#else + // #define _RND_MODE_PARAM + // #define rnd_mode _IDEC_glbround +void +setDecimalRoundingDirection (_IDEC_round rounding_mode) { + // sets the current rounding mode to the value in rounding_mode, if valid; + if (rounding_mode == ROUNDING_TO_NEAREST || + rounding_mode == ROUNDING_DOWN || + rounding_mode == ROUNDING_UP || + rounding_mode == ROUNDING_TO_ZERO || + rounding_mode == ROUNDING_TIES_AWAY) { + rnd_mode = rounding_mode; + } +} +#endif +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +is754 (int *retval) { + *retval = 0; +} +#else +int +is754 (void) { + return 0; +} +#endif + +#if DECIMAL_CALL_BY_REFERENCE +void +is754R (int *retval) { + *retval = 1; +} +#else +int +is754R (void) { + return 1; +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_from_int.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_from_int.c new file mode 100644 index 0000000000..b115fc39ce --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_from_int.c @@ -0,0 +1,349 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "bid_internal.h" + +/***************************************************************************** + * BID64_round_integral_exact + ****************************************************************************/ + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_from_int32 (UINT64 * pres, + int *px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + int x = *px; +#else +UINT64 +bid64_from_int32 (int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 res; + + // if integer is negative, put the absolute value + // in the lowest 32bits of the result + if ((x & SIGNMASK32) == SIGNMASK32) { + // negative int32 + x = ~x + 1; // 2's complement of x + res = (unsigned int) x | 0xb1c0000000000000ull; + // (exp << 53)) = biased exp. is 0 + } else { // positive int32 + res = x | 0x31c0000000000000ull; // (exp << 53)) = biased exp. is 0 + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_from_uint32 (UINT64 * pres, unsigned int *px + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + unsigned int x = *px; +#else +UINT64 +bid64_from_uint32 (unsigned int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT64 res; + + res = x | 0x31c0000000000000ull; // (exp << 53)) = biased exp. is 0 + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_from_int64 (UINT64 * pres, SINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + SINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64_from_int64 (SINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 res; + UINT64 x_sign, C; + unsigned int q, ind; + int incr_exp = 0; + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0; + int is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + + x_sign = x & 0x8000000000000000ull; + // if the integer is negative, use the absolute value + if (x_sign) + C = ~((UINT64) x) + 1; + else + C = x; + if (C <= BID64_SIG_MAX) { // |C| <= 10^16-1 and the result is exact + if (C < 0x0020000000000000ull) { // C < 2^53 + res = x_sign | 0x31c0000000000000ull | C; + } else { // C >= 2^53 + res = + x_sign | 0x6c70000000000000ull | (C & 0x0007ffffffffffffull); + } + } else { // |C| >= 10^16 and the result may be inexact + // the smallest |C| is 10^16 which has 17 decimal digits + // the largest |C| is 0x8000000000000000 = 9223372036854775808 w/ 19 digits + if (C < 0x16345785d8a0000ull) { // x < 10^17 + q = 17; + ind = 1; // number of digits to remove for q = 17 + } else if (C < 0xde0b6b3a7640000ull) { // C < 10^18 + q = 18; + ind = 2; // number of digits to remove for q = 18 + } else { // C < 10^19 + q = 19; + ind = 3; // number of digits to remove for q = 19 + } + // overflow and underflow are not possible + // Note: performace can be improved by inlining this call + round64_2_18 ( // will work for 19 digits too if C fits in 64 bits + q, ind, C, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + if (incr_exp) + ind++; + // set the inexact flag + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) + *pfpsf |= INEXACT_EXCEPTION; + // general correction from RN to RA, RM, RP, RZ; result uses ind for exp + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((!x_sign + && ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint) + || + ((rnd_mode == ROUNDING_TIES_AWAY + || rnd_mode == ROUNDING_UP) && is_midpoint_gt_even))) + || (x_sign + && ((rnd_mode == ROUNDING_DOWN && is_inexact_lt_midpoint) + || + ((rnd_mode == ROUNDING_TIES_AWAY + || rnd_mode == ROUNDING_DOWN) + && is_midpoint_gt_even)))) { + res = res + 1; + if (res == 0x002386f26fc10000ull) { // res = 10^16 => rounding overflow + res = 0x00038d7ea4c68000ull; // 10^15 + ind = ind + 1; + } + } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) && + ((x_sign && (rnd_mode == ROUNDING_UP || + rnd_mode == ROUNDING_TO_ZERO)) || + (!x_sign && (rnd_mode == ROUNDING_DOWN || + rnd_mode == ROUNDING_TO_ZERO)))) { + res = res - 1; + // check if we crossed into the lower decade + if (res == 0x00038d7ea4c67fffull) { // 10^15 - 1 + res = 0x002386f26fc0ffffull; // 10^16 - 1 + ind = ind - 1; + } + } else { + ; // exact, the result is already correct + } + } + if (res < 0x0020000000000000ull) { // res < 2^53 + res = x_sign | (((UINT64) ind + 398) << 53) | res; + } else { // res >= 2^53 + res = + x_sign | 0x6000000000000000ull | (((UINT64) ind + 398) << 51) | + (res & 0x0007ffffffffffffull); + } + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid64_from_uint64 (UINT64 * pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { + UINT64 x = *px; +#if !DECIMAL_GLOBAL_ROUNDING + unsigned int rnd_mode = *prnd_mode; +#endif +#else +UINT64 +bid64_from_uint64 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM) { +#endif + + UINT64 res; + UINT128 x128, res128; + unsigned int q, ind; + int incr_exp = 0; + int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0; + int is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0; + + if (x <= BID64_SIG_MAX) { // x <= 10^16-1 and the result is exact + if (x < 0x0020000000000000ull) { // x < 2^53 + res = 0x31c0000000000000ull | x; + } else { // x >= 2^53 + res = 0x6c70000000000000ull | (x & 0x0007ffffffffffffull); + } + } else { // x >= 10^16 and the result may be inexact + // the smallest x is 10^16 which has 17 decimal digits + // the largest x is 0xffffffffffffffff = 18446744073709551615 w/ 20 digits + if (x < 0x16345785d8a0000ull) { // x < 10^17 + q = 17; + ind = 1; // number of digits to remove for q = 17 + } else if (x < 0xde0b6b3a7640000ull) { // x < 10^18 + q = 18; + ind = 2; // number of digits to remove for q = 18 + } else if (x < 0x8ac7230489e80000ull) { // x < 10^19 + q = 19; + ind = 3; // number of digits to remove for q = 19 + } else { // x < 10^20 + q = 20; + ind = 4; // number of digits to remove for q = 20 + } + // overflow and underflow are not possible + // Note: performace can be improved by inlining this call + if (q <= 19) { + round64_2_18 ( // will work for 20 digits too if x fits in 64 bits + q, ind, x, &res, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + } else { // q = 20 + x128.w[1] = 0x0; + x128.w[0] = x; + round128_19_38 (q, ind, x128, &res128, &incr_exp, + &is_midpoint_lt_even, &is_midpoint_gt_even, + &is_inexact_lt_midpoint, &is_inexact_gt_midpoint); + res = res128.w[0]; // res.w[1] is 0 + } + if (incr_exp) + ind++; + // set the inexact flag + if (is_inexact_lt_midpoint || is_inexact_gt_midpoint || + is_midpoint_lt_even || is_midpoint_gt_even) + *pfpsf |= INEXACT_EXCEPTION; + // general correction from RN to RA, RM, RP, RZ; result uses ind for exp + if (rnd_mode != ROUNDING_TO_NEAREST) { + if ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint) || + ((rnd_mode == ROUNDING_TIES_AWAY || rnd_mode == ROUNDING_UP) + && is_midpoint_gt_even)) { + res = res + 1; + if (res == 0x002386f26fc10000ull) { // res = 10^16 => rounding overflow + res = 0x00038d7ea4c68000ull; // 10^15 + ind = ind + 1; + } + } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) && + (rnd_mode == ROUNDING_DOWN || + rnd_mode == ROUNDING_TO_ZERO)) { + res = res - 1; + // check if we crossed into the lower decade + if (res == 0x00038d7ea4c67fffull) { // 10^15 - 1 + res = 0x002386f26fc0ffffull; // 10^16 - 1 + ind = ind - 1; + } + } else { + ; // exact, the result is already correct + } + } + if (res < 0x0020000000000000ull) { // res < 2^53 + res = (((UINT64) ind + 398) << 53) | res; + } else { // res >= 2^53 + res = 0x6000000000000000ull | (((UINT64) ind + 398) << 51) | + (res & 0x0007ffffffffffffull); + } + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_from_int32 (UINT128 * pres, + int *px _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + int x = *px; +#else +UINT128 +bid128_from_int32 (int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 res; + + // if integer is negative, use the absolute value + if ((x & SIGNMASK32) == SIGNMASK32) { + res.w[HIGH_128W] = 0xb040000000000000ull; + res.w[LOW_128W] = ~((unsigned int) x) + 1; // 2's complement of x + } else { + res.w[HIGH_128W] = 0x3040000000000000ull; + res.w[LOW_128W] = (unsigned int) x; + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_from_uint32 (UINT128 * pres, unsigned int *px + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + unsigned int x = *px; +#else +UINT128 +bid128_from_uint32 (unsigned int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + UINT128 res; + + res.w[HIGH_128W] = 0x3040000000000000ull; + res.w[LOW_128W] = x; + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_from_int64 (UINT128 * pres, SINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + SINT64 x = *px; +#else +UINT128 +bid128_from_int64 (SINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT128 res; + + // if integer is negative, use the absolute value + if ((x & SIGNMASK64) == SIGNMASK64) { + res.w[HIGH_128W] = 0xb040000000000000ull; + res.w[LOW_128W] = ~x + 1; // 2's complement of x + } else { + res.w[HIGH_128W] = 0x3040000000000000ull; + res.w[LOW_128W] = x; + } + BID_RETURN (res); +} + +#if DECIMAL_CALL_BY_REFERENCE +void +bid128_from_uint64 (UINT128 * pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM) { + UINT64 x = *px; +#else +UINT128 +bid128_from_uint64 (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) { +#endif + + UINT128 res; + + res.w[HIGH_128W] = 0x3040000000000000ull; + res.w[LOW_128W] = x; + BID_RETURN (res); +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_functions.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_functions.h new file mode 100644 index 0000000000..14c9869036 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_functions.h @@ -0,0 +1,3279 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _BID_FUNCTIONS_H +#define _BID_FUNCTIONS_H + +#ifdef IN_LIBGCC2 +// When we are built as the part of the gcc runtime library, libgcc, +// we will use gcc types defined in bid_gcc_intrinsics.h. +#include "bid_gcc_intrinsics.h" + +#define ALIGN(n) __attribute__ ((aligned(n))) +#else +typedef char SINT8; +typedef unsigned char UINT8; +typedef unsigned UINT32; +typedef signed SINT32; + +#ifdef __GNUC__ +#define __int64 long long +#endif + +#if __GNUC__ || defined LINUX || defined SUNOS +typedef unsigned long long UINT64; +typedef signed long long SINT64; +#else +typedef unsigned __int64 UINT64; +typedef signed __int64 SINT64; +#endif + +#if defined _MSC_VER +#if defined _M_IX86 && !defined __INTEL_COMPILER // Win IA-32, MS compiler +#define ALIGN(n) +#else +#define ALIGN(n) __declspec(align(n)) +#endif +#else +#define ALIGN(n) __attribute__ ((aligned(n))) +#endif + +// bid_gcc_intrinsics.h will also define this. +typedef +ALIGN (16) + struct { + UINT64 w[2]; + } UINT128; +#endif + + +#if !defined _MSC_VER || defined __INTEL_COMPILER +#define __ENABLE_BINARY80__ 1 +#endif + +#ifndef HPUX_OS +#define BINARY80 long double +#define BINARY128 UINT128 +#define SQRT80 sqrtl +#else +#define BINARY80 __float80 +#define BINARY128 __float128 +#define SQRT80 sqrtw +#endif + + typedef ALIGN (16) + struct { + UINT64 w[3]; + } UINT192; + typedef ALIGN (16) + struct { + UINT64 w[4]; + } UINT256; + typedef unsigned int FPSC; // floating-point status and control + +// TYPE parameters +#define BID128_MAXDIGITS 34 +#define BID64_MAXDIGITS 16 +#define BID32_MAXDIGITS 7 + +// rounding modes +#define ROUNDING_TO_NEAREST 0x00000 +#define ROUNDING_DOWN 0x00001 +#define ROUNDING_UP 0x00002 +#define ROUNDING_TO_ZERO 0x00003 +#define ROUNDING_TIES_AWAY 0x00004 + +#define RMODE_MASK (ROUNDING_TO_NEAREST | ROUNDING_DOWN | ROUNDING_UP | ROUNDING_TO_ZERO | ROUNDING_TIES_AWAY) + +// status +#define FLAG_MASK 0x0000003f +#define BID_IEEE_FLAGS 0x0000003d +#define EXACT_STATUS 0x00000000 +#define INEXACT_EXCEPTION 0x00000020 +#define UNDERFLOW_EXCEPTION 0x00000010 +#define OVERFLOW_EXCEPTION 0x00000008 +#define ZERO_DIVIDE_EXCEPTION 0x00000004 +#define DENORMAL_EXCEPTION 0x00000002 +#define INVALID_EXCEPTION 0x00000001 + +#define MODE_MASK 0x00001f80 +#define INEXACT_MODE 0x00001000 +#define UNDERFLOW_MODE 0x00000800 +#define OVERFLOW_MODE 0x00000400 +#define ZERO_DIVIDE_MODE 0x00000200 +#define DENORMAL_MODE 0x00000100 +#define INVALID_MODE 0x00000080 + +#if defined LINUX || defined __GLIBC__ || defined SUNOS +#define LX16 "%016llx" +#define LX "%llx" +#define LD4 "%4llu" +#define LD16 "%016lld" +#define LD "%lld" +#define LUD "%llu" +#define LUD16 "%016llu" +#define X8 "%08x" +#define X4 "%04x" + +#define FMT_LLX16 "%016llx" +#define FMT_LLX "%llx" +#define FMT_LLU4 "%4llu" +#define FMT_LLD16 "%016lld" +#define FMT_LLD "%lld" +#define FMT_LLU "%llu" +#define FMT_LLU16 "%016llu" +#define FMT_X8 "%08x" +#define FMT_X4 "%04x" +#else +#define LX16 "%016I64x" +#define LX "%I64x" +#define LD16 "%016I64d" +#define LD4 "%4I64u" +#define LD "%I64d" +#define LUD "%I64u" +#define LUD16 "%016I64u" +#define X8 "%08x" +#define X4 "%04x" + +#define FMT_LLX16 "%016I64x" +#define FMT_LLX "%I64x" +#define FMT_LLD16 "%016I64d" +#define FMT_LLU4 "%4I64u" +#define FMT_LLD "%I64d" +#define FMT_LLU "%I64u" +#define FMT_LLU16 "%016I64u" +#define FMT_X8 "%08x" +#define FMT_X4 "%04x" +#endif + +#define decNumberIsSNaN(dn) (((dn)->bits&(DECSNAN))!=0) + int __signbitf (float); + int __signbit (double); + +#define __IMFC99MACRO_( __x__, __func__ ) \ + (( sizeof( __x__ ) > sizeof( float )) \ + ? __func__( (double)(__x__) ) \ + : __func__##f( (float)(__x__) )) + +#define signbit( __x__ ) __IMFC99MACRO_( __x__, __signbit ) + +#if !defined(__INTEL_COMPILER) + +#define __fence + +#define isinf( __x__ ) __IMFC99MACRO_( __x__, __isinf ) +#define isnan( __x__ ) __IMFC99MACRO_( __x__, __isnan ) + + int __isnanf (float); + int __isnan (double); + + int __isinff (float); + int __isinf (double); + +#endif + +/* rounding modes */ +// typedef unsigned int _IDEC_round; + extern _IDEC_round _IDEC_gblround; // initialized to ROUNDING_TO_NEAREST + +/* exception flags */ +// typedef unsigned int _IDEC_flags; // could be a struct with diagnostic info + extern _IDEC_flags _IDEC_gblflags; // initialized to EXACT_STATUS + +/* exception masks */ + typedef unsigned int _IDEC_exceptionmasks; + extern _IDEC_exceptionmasks _IDEC_gblexceptionmasks; // initialized to MODE_MASK + +#if DECIMAL_ALTERNATE_EXCEPTION_HANDLING + +/* exception information */ + + typedef struct { + unsigned int inexact_result:1; + unsigned int underflow:1; + unsigned int overflow:1; + unsigned int zero_divide:1; + unsigned int invalid_operation:1; + } fpieee_exception_flags_t; + + typedef enum { + _fp_round_nearest, + _fp_round_minus_infinity, + _fp_round_plus_infinity, + _fp_round_chopped, + _fp_round_away + } fpieee_rounding_mode_t; + + typedef enum { + _fp_precision24, + _fp_precision63, + _fp_precision64, + _fp_precision7, + _fp_precision16, + _fp_precision34 + } _fpieee_precision_t; + + typedef enum { + _fp_code_unspecified, + _fp_code_add, + _fp_code_subtract, + _fp_code_multiply, + _fp_code_divide, + _fp_code_square_root, + _fp_code_compare, + _fp_code_convert, + _fp_code_convert_to_integer_neareven, + _fp_code_convert_to_integer_down, + _fp_code_convert_to_integer_up, + _fp_code_convert_to_integer_truncate, + _fp_code_convert_to_integer_nearaway, + _fp_code_fma, + _fp_code_fmin, + _fp_code_fmax, + _fp_code_famin, + _fp_code_famax, + _fp_code_round_to_integral, + _fp_code_minnum, + _fp_code_maxnum, + _fp_code_minnummag, + _fp_code_maxnummag, + _fp_code_quantize, + _fp_code_logb, + _fp_code_scaleb, + _fp_code_remainder, + _fp_code_nextup, + _fp_code_nextdown, + _fp_code_nextafter, + } fp_operation_code_t; + + typedef enum { + _fp_compare_equal, + _fp_compare_greater, + _fp_compare_less, + _fp_compare_unordered + } fpieee_compare_result_t; + + typedef enum { + _fp_format_fp32, + _fp_format_fp64, + _fp_format_fp80, + _fp_format_fp128, + _fp_format_dec_fp32, + _fp_format_dec_fp64, + _fp_format_dec_fp128, + _fp_format_i8, /* 8-bit integer */ + _fp_format_i16, /* 16-bit integer */ + _fp_format_i32, /* 32-bit integer */ + _fp_format_i64, /* 64-bit integer */ + _fp_format_u8, /* 8-bit unsigned integer */ + _fp_format_u16, /* 16-bit unsigned integer */ + _fp_format_u32, /* 32-bit unsigned integer */ + _fp_format_u64, /* 64-bit unsigned integer */ + _fp_format_compare, /* compare value format */ + _fp_format_decimal_char, /* decimal character */ + _fp_format_string /* string */ + } fpieee_format_t; + + typedef struct { + unsigned short W[5]; + } _float80_t; + + typedef struct { + unsigned int W[4]; + } _float128_t; + + typedef struct { + union { + float fp32_value; + double fp64_value; + _float80_t fp80_value; + _float128_t fp128_value; + UINT32 decfp32_value; + UINT64 decfp64_value; + UINT128 decfp128_value; + char i8_value; + short i16_value; + int i32_value; + SINT64 i64_value; + unsigned char u8_value; + unsigned short u16_value; + unsigned int u32_value; + unsigned long u64_value; + fpieee_compare_result_t compare_value; + unsigned char s[256]; + } value; + unsigned int operand_valid:1; + fpieee_format_t format:5; + } fpieee_value_t; + + typedef struct { + unsigned int rounding_mode:3; + unsigned int precision:3; + unsigned int operation:26; + fpieee_exception_flags_t cause; + fpieee_exception_flags_t enable; + fpieee_exception_flags_t status; + fpieee_value_t operand1; + fpieee_value_t operand2; + fpieee_value_t operand3; + fpieee_value_t result; + } _IDEC_excepthandling; + extern _IDEC_excepthandling _IDEC_glbexcepthandling; + +#endif + +#if DECIMAL_CALL_BY_REFERENCE + + extern void bid_to_dpd32 (UINT32 * pres, UINT32 * px); + extern void bid_to_dpd64 (UINT64 * pres, UINT64 * px); + extern void bid_to_dpd128 (UINT128 * pres, UINT128 * px); + extern void dpd_to_bid32 (UINT32 * pres, UINT32 * px); + extern void dpd_to_bid64 (UINT64 * pres, UINT64 * px); + extern void dpd_to_bid128 (UINT128 * pres, UINT128 * px); + + extern void bid128dd_add (UINT128 * pres, UINT64 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dq_add (UINT128 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qd_add (UINT128 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_add (UINT128 * pres, UINT128 * px, + UINT128 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dd_sub (UINT128 * pres, UINT64 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dq_sub (UINT128 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qd_sub (UINT128 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_sub (UINT128 * pres, UINT128 * px, + UINT128 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dd_mul (UINT128 * pres, UINT64 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dq_mul (UINT128 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qd_mul (UINT128 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_mul (UINT128 * pres, UINT128 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_div (UINT128 * pres, UINT128 * px, + UINT128 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dd_div (UINT128 * pres, UINT64 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dq_div (UINT128 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qd_div (UINT128 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_fma (UINT128 * pres, UINT128 * px, + UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128ddd_fma (UINT128 * pres, UINT64 * px, + UINT64 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128ddq_fma (UINT128 * pres, UINT64 * px, + UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dqd_fma (UINT128 * pres, UINT64 * px, + UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128dqq_fma (UINT128 * pres, UINT64 * px, + UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qdd_fma (UINT128 * pres, UINT128 * px, + UINT64 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qdq_fma (UINT128 * pres, UINT128 * px, + UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128qqd_fma (UINT128 * pres, UINT128 * px, + UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + // Note: bid128qqq_fma is represented by bid128_fma + // Note: bid64ddd_fma is represented by bid64_fma + extern void bid64ddq_fma (UINT64 * pres, UINT64 * px, + UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64dqd_fma (UINT64 * pres, UINT64 * px, + UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64dqq_fma (UINT64 * pres, UINT64 * px, + UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qdd_fma (UINT64 * pres, UINT128 * px, + UINT64 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qdq_fma (UINT64 * pres, UINT128 * px, + UINT64 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qqd_fma (UINT64 * pres, UINT128 * px, + UINT128 * py, UINT64 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qqq_fma (UINT64 * pres, UINT128 * px, + UINT128 * py, UINT128 * pz + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_sqrt (UINT128 * pres, + UINT128 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128d_sqrt (UINT128 * pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_add (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64dq_add (UINT64 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qd_add (UINT64 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qq_add (UINT64 * pres, UINT128 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_sub (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64dq_sub (UINT64 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qd_sub (UINT64 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qq_sub (UINT64 * pres, UINT128 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_mul (UINT64 * pres, UINT64 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64dq_mul (UINT64 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qd_mul (UINT64 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qq_mul (UINT64 * pres, UINT128 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_div (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64dq_div (UINT64 * pres, UINT64 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qd_div (UINT64 * pres, UINT128 * px, + UINT64 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64qq_div (UINT64 * pres, UINT128 * px, + UINT128 * py + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_fma (UINT64 * pres, UINT64 * px, + UINT64 * py, + UINT64 * + pz _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_sqrt (UINT64 * pres, + UINT64 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64q_sqrt (UINT64 * pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_to_int8_rnint (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int8_xrnint (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int8_rninta (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int8_xrninta (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int8_int (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_int8_xint (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_int8_floor (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int8_xfloor (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int8_ceil (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_int8_xceil (char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_rnint (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_xrnint (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_rninta (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_xrninta (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_int (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_int16_xint (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_floor (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_xfloor (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_ceil (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int16_xceil (short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_rnint (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_xrnint (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_rninta (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_xrninta (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_int (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_uint8_xint (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_floor (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_xfloor (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_ceil (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint8_xceil (unsigned char *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_rnint (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_xrnint (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_rninta (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_xrninta (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_int (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_xint (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_floor (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_xfloor (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_ceil (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint16_xceil (unsigned short *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_rnint (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_xrnint (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_rninta (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_xrninta (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_int (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_int32_xint (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_floor (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_xfloor (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_ceil (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int32_xceil (int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_rnint (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_xrnint (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_rninta (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_xrninta (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_int (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_xint (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_floor (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_xfloor (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_ceil (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint32_xceil (unsigned int *pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_rnint (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_xrnint (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_rninta (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_xrninta (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_int (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_int64_xint (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_floor (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_xfloor (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_ceil (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_int64_xceil (SINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_rnint (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_xrnint (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_rninta (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_xrninta (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_int (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_xint (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_floor (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_xfloor (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_ceil (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_to_uint64_xceil (UINT64 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_rnint (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_xrnint (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_rninta (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_xrninta (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_int (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int32_xint (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int32_floor (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_xfloor (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int32_ceil (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int32_xceil (int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int8_rnint (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int8_xrnint (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int8_rninta (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int8_xrninta (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int8_int (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int8_xint (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int8_floor (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int8_xfloor (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int8_ceil (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int8_xceil (char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int16_rnint (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int16_xrnint (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int16_rninta (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int16_xrninta (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int16_int (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int16_xint (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int16_floor (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int16_xfloor (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int16_ceil (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int16_xceil (short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_rnint (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_xrnint (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_rninta (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_xrninta (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_int (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_uint8_xint (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_uint8_floor (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_xfloor (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint8_ceil (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_uint8_xceil (unsigned char *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_rnint (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_xrnint (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_rninta (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_xrninta (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_int (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_uint16_xint (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_floor (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_xfloor (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_ceil (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint16_xceil (unsigned short *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_rnint (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_xrnint (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_rninta (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_xrninta (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_int (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_uint32_xint (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_floor (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_xfloor (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_ceil (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint32_xceil (unsigned int *pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_rnint (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_xrnint (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_rninta (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_xrninta (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_int (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int64_xint (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int64_floor (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_xfloor (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_int64_ceil (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_int64_xceil (SINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_rnint (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_xrnint (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_rninta (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_xrninta (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_int (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_uint64_xint (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_floor (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_xfloor (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_ceil (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_uint64_xceil (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid64_quiet_equal (int *pres, UINT64 * px, UINT64 * py + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_quiet_greater_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_greater_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_less_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_less_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_not_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_not_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_not_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_quiet_ordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_quiet_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_greater_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_greater_unordered (int *pres, + UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_less_equal (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_less_unordered (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_not_greater (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_signaling_not_less (int *pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid128_quiet_equal (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_quiet_greater (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_greater_equal (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_greater_unordered (int *pres, + UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_less (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_less_equal (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_less_unordered (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_not_equal (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_not_greater (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_not_less (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_ordered (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_quiet_unordered (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_greater (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_greater_equal (int *pres, + UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_greater_unordered (int *pres, + UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_less (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_less_equal (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_less_unordered (int *pres, + UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_not_greater (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_signaling_not_less (int *pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid64_round_integral_exact (UINT64 * pres, UINT64 * px + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_round_integral_nearest_even (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_round_integral_negative (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_round_integral_positive (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_round_integral_zero (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_round_integral_nearest_away (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid128_round_integral_exact (UINT128 * pres, + UINT128 * + px _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_round_integral_nearest_even (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_round_integral_negative (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_round_integral_positive (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_round_integral_zero (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_round_integral_nearest_away (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid64_nextup (UINT64 * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_nextdown (UINT64 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_nextafter (UINT64 * pres, UINT64 * px, + UINT64 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid128_nextup (UINT128 * pres, UINT128 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_nextdown (UINT128 * pres, + UINT128 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_nextafter (UINT128 * pres, UINT128 * px, + UINT128 * + py _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid64_minnum (UINT64 * pres, UINT64 * px, UINT64 * py + _EXC_FLAGS_PARAM); + extern void bid64_minnum_mag (UINT64 * pres, UINT64 * px, + UINT64 * py _EXC_FLAGS_PARAM); + extern void bid64_maxnum (UINT64 * pres, UINT64 * px, UINT64 * py + _EXC_FLAGS_PARAM); + extern void bid64_maxnum_mag (UINT64 * pres, UINT64 * px, + UINT64 * py _EXC_FLAGS_PARAM); + + extern void bid128_minnum (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM); + extern void bid128_minnum_mag (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM); + extern void bid128_maxnum (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM); + extern void bid128_maxnum_mag (UINT128 * pres, UINT128 * px, + UINT128 * py _EXC_FLAGS_PARAM); + + extern void bid64_from_int32 (UINT64 * pres, int *px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_from_uint32 (UINT64 * pres, unsigned int *px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_from_int64 (UINT64 * pres, SINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_from_uint64 (UINT64 * pres, + UINT64 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_from_int32 (UINT128 * pres, + int *px _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_from_uint32 (UINT128 * pres, + unsigned int *px _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_from_int64 (UINT128 * pres, + SINT64 * + px _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_from_uint64 (UINT128 * pres, + UINT64 * + px _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern void bid64_isSigned (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isNormal (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isSubnormal (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isFinite (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isZero (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isInf (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isSignaling (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isCanonical (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_isNaN (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_copy (UINT64 * pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_negate (UINT64 * pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_abs (UINT64 * pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_copySign (UINT64 * pres, UINT64 * px, UINT64 * py + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_class (int *pres, UINT64 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_sameQuantum (int *pres, UINT64 * px, UINT64 * py + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_totalOrder (int *pres, UINT64 * px, UINT64 * py + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_totalOrderMag (int *pres, UINT64 * px, + UINT64 * + py _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_radix (int *pres, + UINT64 * + px _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_isSigned (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isNormal (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isSubnormal (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isFinite (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isZero (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isInf (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isSignaling (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isCanonical (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_isNaN (int *pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_copy (UINT128 * pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_negate (UINT128 * pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_abs (UINT128 * pres, UINT128 * px + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_copySign (UINT128 * pres, UINT128 * px, + UINT128 * + py _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_class (int *pres, + UINT128 * + px _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_sameQuantum (int *pres, UINT128 * px, + UINT128 * + py _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_totalOrder (int *pres, UINT128 * px, + UINT128 * + py _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_totalOrderMag (int *pres, UINT128 * px, + UINT128 * + py _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid128_radix (int *pres, + UINT128 * + px _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_rem (UINT64 * pres, UINT64 * px, UINT64 * py + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_logb (int * pres, UINT64 * px + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_scalb (UINT64 * pres, UINT64 * px, + int *pn _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_rem (UINT128 * pres, UINT128 * px, UINT128 * py + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_logb (int * pres, UINT128 * px + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_scalb (UINT128 * pres, UINT128 * px, + int *pn _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid32_to_bid64 (UINT64 * pres, + UINT32 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid32_to_bid128 (UINT128 * pres, + UINT32 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_bid128 (UINT128 * pres, + UINT64 * + px _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern void bid64_to_bid32 (UINT32 * pres, + UINT64 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_bid32 (UINT32 * pres, + UINT128 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_bid64 (UINT64 * pres, + UINT128 * + px _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_from_string (UINT64 * pres, char *ps + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid64_to_string (char *ps, UINT64 * px + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_from_string (UINT128 * pres, char *ps + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_string (char *str, UINT128 * px + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_quantize (UINT64 * pres, UINT64 * px, + UINT64 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_quantize (UINT128 * pres, UINT128 * px, + UINT128 * + py _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_to_binary32 (float *pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_to_binary64 (double *pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_to_binary80 (BINARY80 * pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid128_to_binary128 (BINARY128 * pres, UINT128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary128_to_bid32 (UINT32 * pres, BINARY128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary128_to_bid64 (UINT64 * pres, BINARY128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary128_to_bid128 (UINT128 * pres, BINARY128 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_to_binary32 (float *pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_to_binary64 (double *pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_to_binary80 (BINARY80 * pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_to_binary128 (BINARY128 * pres, UINT64 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary64_to_bid32 (UINT32 * pres, double *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary64_to_bid64 (UINT64 * pres, double *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary64_to_bid128 (UINT128 * pres, double *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid32_to_binary32 (float *pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid32_to_binary64 (double *pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid32_to_binary80 (BINARY80 * pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid32_to_binary128 (BINARY128 * pres, UINT32 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary32_to_bid32 (UINT32 * pres, float *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary32_to_bid64 (UINT64 * pres, float *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary32_to_bid128 (UINT128 * pres, float *px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary80_to_bid32 (UINT32 * pres, BINARY80 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary80_to_bid64 (UINT64 * pres, BINARY80 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void binary80_to_bid128 (UINT128 * pres, BINARY80 * px + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void is754 (int *retval); + + extern void is754R (int *retval); + + extern void signalException (_IDEC_flags * + pflagsmask _EXC_FLAGS_PARAM); + + extern void lowerFlags (_IDEC_flags * pflagsmask _EXC_FLAGS_PARAM); + + extern void testFlags (_IDEC_flags * praised, + _IDEC_flags * pflagsmask _EXC_FLAGS_PARAM); + + extern void testSavedFlags (_IDEC_flags * praised, + _IDEC_flags * psavedflags, + _IDEC_flags * pflagsmask); + + extern void restoreFlags (_IDEC_flags * pflagsvalues, + _IDEC_flags * + pflagsmask _EXC_FLAGS_PARAM); + + extern void saveFlags (_IDEC_flags * pflagsvalues, + _IDEC_flags * pflagsmask _EXC_FLAGS_PARAM); + + void getDecimalRoundingDirection (_IDEC_round * + rounding_mode _RND_MODE_PARAM); + + void setDecimalRoundingDirection (_IDEC_round * + rounding_mode _RND_MODE_PARAM); + +#else + + extern UINT32 bid_to_dpd32 (UINT32 px); + extern UINT64 bid_to_dpd64 (UINT64 px); + extern UINT128 bid_to_dpd128 (UINT128 px); + extern UINT32 dpd_to_bid32 (UINT32 px); + extern UINT64 dpd_to_bid64 (UINT64 px); + extern UINT128 dpd_to_bid128 (UINT128 px); + + extern UINT128 bid128dd_add (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dq_add (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qd_add (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_add (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dd_sub (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dq_sub (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qd_sub (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_sub (UINT128 x, + UINT128 y _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128dd_mul (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dq_mul (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qd_mul (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_mul (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_div (UINT128 x, + UINT128 y _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128dd_div (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dq_div (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qd_div (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_fma (UINT128 x, UINT128 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128ddd_fma (UINT64 x, UINT64 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128ddq_fma (UINT64 x, UINT64 y, UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dqd_fma (UINT64 x, UINT128 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128dqq_fma (UINT64 x, UINT128 y, + UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qdd_fma (UINT128 x, UINT64 y, UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qdq_fma (UINT128 x, UINT64 y, + UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128qqd_fma (UINT128 x, UINT128 y, + UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + // Note: bid128qqq_fma is represented by bid128_fma + // Note: bid64ddd_fma is represented by bid64_fma + extern UINT64 bid64ddq_fma (UINT64 x, UINT64 y, + UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64dqd_fma (UINT64 x, UINT128 y, + UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64dqq_fma (UINT64 x, UINT128 y, + UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qdd_fma (UINT128 x, UINT64 y, + UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qdq_fma (UINT128 x, UINT64 y, + UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qqd_fma (UINT128 x, UINT128 y, + UINT64 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qqq_fma (UINT128 x, UINT128 y, + UINT128 z + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 bid128_sqrt (UINT128 x _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128d_sqrt (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT64 bid64_add (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64dq_add (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qd_add (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qq_add (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_sub (UINT64 x, + UINT64 y _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64dq_sub (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qd_sub (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qq_sub (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_mul (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64dq_mul (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qd_mul (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qq_mul (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_div (UINT64 x, + UINT64 y _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64dq_div (UINT64 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qd_div (UINT128 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64qq_div (UINT128 x, UINT128 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_fma (UINT64 x, UINT64 y, + UINT64 z _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_sqrt (UINT64 x _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64q_sqrt (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern char bid128_to_int8_rnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid128_to_int8_xrnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid128_to_int8_rninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid128_to_int8_xrninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid128_to_int8_int (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid128_to_int8_xint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid128_to_int8_floor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid128_to_int8_xfloor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid128_to_int8_ceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid128_to_int8_xceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_rnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_xrnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_rninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_xrninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_int (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_xint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_floor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_xfloor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_ceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid128_to_int16_xceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_rnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_xrnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_rninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_xrninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_int (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_xint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_floor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_xfloor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_ceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid128_to_uint8_xceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_rnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_xrnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_rninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_xrninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_int (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_xint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_floor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_xfloor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_ceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid128_to_uint16_xceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_rnint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_xrnint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_rninta (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_xrninta (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_int (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_to_int32_xint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_to_int32_floor (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_xfloor (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_to_int32_ceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_to_int32_xceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_rnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_xrnint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_rninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_xrninta (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_int (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_xint (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_floor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_xfloor (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_ceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid128_to_uint32_xceil (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_rnint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_xrnint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_rninta (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_xrninta (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_int (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_xint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_floor (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_xfloor (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_ceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid128_to_int64_xceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_rnint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_xrnint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_rninta (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_xrninta (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_int (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_xint (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_floor (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_xfloor (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_ceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid128_to_uint64_xceil (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_to_int32_rnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_to_int32_xrnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_to_int32_rninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_to_int32_xrninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_to_int32_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_to_int32_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_to_int32_floor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_to_int32_xfloor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_to_int32_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_to_int32_xceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid64_to_int8_rnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid64_to_int8_xrnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid64_to_int8_rninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid64_to_int8_xrninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid64_to_int8_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid64_to_int8_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid64_to_int8_floor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid64_to_int8_xfloor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern char bid64_to_int8_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern char bid64_to_int8_xceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern short bid64_to_int16_rnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_xrnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_rninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_xrninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern short bid64_to_int16_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_floor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_xfloor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern short bid64_to_int16_xceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_rnint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_xrnint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_rninta (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_xrninta (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_floor (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_xfloor (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned char bid64_to_uint8_xceil (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_rnint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_xrnint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_rninta (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_xrninta (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_int (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_xint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_floor (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_xfloor (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_ceil (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned short bid64_to_uint16_xceil (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_rnint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_xrnint (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_rninta (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_xrninta (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_floor (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_xfloor (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern unsigned int bid64_to_uint32_xceil (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_rnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_xrnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_rninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_xrninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_floor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_xfloor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern SINT64 bid64_to_int64_xceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_rnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_xrnint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_rninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_xrninta (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_int (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_xint (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_floor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_xfloor (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_ceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_to_uint64_xceil (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern int bid64_quiet_equal (UINT64 x, UINT64 y + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_quiet_greater_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_greater_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_quiet_less_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_less_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_not_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_not_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_quiet_not_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_quiet_ordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_quiet_unordered (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_greater_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_greater_unordered (UINT64 x, + UINT64 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_signaling_less_equal (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_less_unordered (UINT64 x, + UINT64 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_not_greater (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_signaling_not_less (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern int bid128_quiet_equal (UINT128 x, UINT128 y + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_greater (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_quiet_greater_equal (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_greater_unordered (UINT128 x, + UINT128 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_less (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_quiet_less_equal (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_less_unordered (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_not_equal (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_not_greater (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_not_less (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_quiet_ordered (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_quiet_unordered (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_greater (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_greater_equal (UINT128 x, + UINT128 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_greater_unordered (UINT128 x, + UINT128 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_less (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_less_equal (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_less_unordered (UINT128 x, + UINT128 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_not_greater (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_signaling_not_less (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT64 bid64_round_integral_exact (UINT64 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_round_integral_nearest_even (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_round_integral_negative (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_round_integral_positive (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_round_integral_zero (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_round_integral_nearest_away (UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT128 bid128_round_integral_exact (UINT128 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_round_integral_nearest_even (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_round_integral_negative (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_round_integral_positive (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_round_integral_zero (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_round_integral_nearest_away (UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT64 bid64_nextup (UINT64 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_nextdown (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_nextafter (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 bid128_nextup (UINT128 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_nextdown (UINT128 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_nextafter (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT64 bid64_minnum (UINT64 x, UINT64 y _EXC_FLAGS_PARAM); + extern UINT64 bid64_minnum_mag (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM); + extern UINT64 bid64_maxnum (UINT64 x, UINT64 y _EXC_FLAGS_PARAM); + extern UINT64 bid64_maxnum_mag (UINT64 x, + UINT64 y _EXC_FLAGS_PARAM); + + extern UINT128 bid128_minnum (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM); + extern UINT128 bid128_minnum_mag (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM); + extern UINT128 bid128_maxnum (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM); + extern UINT128 bid128_maxnum_mag (UINT128 x, + UINT128 y _EXC_FLAGS_PARAM); + + extern UINT64 bid64_from_int32 (int x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_from_uint32 (unsigned int x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_from_int64 (SINT64 x _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_from_uint64 (UINT64 _RND_MODE_PARAM + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_from_int32 (int x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_from_uint32 (unsigned int x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_from_int64 (SINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_from_uint64 (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern int bid64_isSigned (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isNormal (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isSubnormal (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isFinite (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isZero (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isInf (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_isSignaling (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isCanonical (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_isNaN (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_copy (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_negate (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_abs (UINT64 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT64 bid64_copySign (UINT64 x, + UINT64 y _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid64_class (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_sameQuantum (UINT64 x, UINT64 y + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_totalOrder (UINT64 x, UINT64 y + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_totalOrderMag (UINT64 x, UINT64 y + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_radix (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern int bid128_isSigned (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isNormal (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isSubnormal (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isFinite (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isZero (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isInf (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isSignaling (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isCanonical (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_isNaN (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_copy (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_negate (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_abs (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_copySign (UINT128 x, + UINT128 y _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_class (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_sameQuantum (UINT128 x, + UINT128 y _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_totalOrder (UINT128 x, + UINT128 y _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_totalOrderMag (UINT128 x, + UINT128 y _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern int bid128_radix (UINT128 x _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT64 bid64_rem (UINT64 x, UINT64 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid64_logb (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_scalb (UINT64 x, + int n _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 bid128_rem (UINT128 x, UINT128 y + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern int bid128_logb (UINT128 x + _EXC_FLAGS_PARAM _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + extern UINT128 bid128_scalb (UINT128 x, + int n _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT64 bid32_to_bid64 (UINT32 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid32_to_bid128 (UINT32 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid64_to_bid128 (UINT64 x _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT32 bid64_to_bid32 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT32 bid128_to_bid32 (UINT128 x _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid128_to_bid64 (UINT128 x _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern void bid64_to_string (char *ps, UINT64 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT64 bid64_from_string (char *ps + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern void bid128_to_string (char *str, UINT128 x + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + extern UINT128 bid128_from_string (char *ps + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT64 bid64_quantize (UINT64 x, UINT64 y + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 bid128_quantize (UINT128 x, UINT128 y + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + + extern UINT32 binary128_to_bid32 (BINARY128 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT64 binary128_to_bid64 (BINARY128 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT128 binary128_to_bid128 (BINARY128 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT32 binary64_to_bid32 (double x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT64 binary64_to_bid64 (double x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 binary64_to_bid128 (double x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT32 binary80_to_bid32 (BINARY80 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT64 binary80_to_bid64 (BINARY80 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 binary80_to_bid128 (BINARY80 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern UINT32 binary32_to_bid32 (float x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT64 binary32_to_bid64 (float x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern UINT128 binary32_to_bid128 (float x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern float bid128_to_binary32 (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern double bid128_to_binary64 (UINT128 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern BINARY80 bid128_to_binary80 (UINT128 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern BINARY128 bid128_to_binary128 (UINT128 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern float bid64_to_binary32 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern double bid64_to_binary64 (UINT64 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern BINARY80 bid64_to_binary80 (UINT64 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern BINARY128 bid64_to_binary128 (UINT64 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern float bid32_to_binary32 (UINT32 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern double bid32_to_binary64 (UINT32 x + _RND_MODE_PARAM _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM _EXC_INFO_PARAM); + + extern BINARY80 bid32_to_binary80 (UINT32 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern BINARY128 bid32_to_binary128 (UINT32 x + _RND_MODE_PARAM + _EXC_FLAGS_PARAM + _EXC_MASKS_PARAM + _EXC_INFO_PARAM); + + extern int is754 (void); + + extern int is754R (void); + + extern void signalException (_IDEC_flags flagsmask + _EXC_FLAGS_PARAM); + + extern void lowerFlags (_IDEC_flags flagsmask _EXC_FLAGS_PARAM); + + extern _IDEC_flags testFlags (_IDEC_flags flagsmask + _EXC_FLAGS_PARAM); + + extern _IDEC_flags testSavedFlags (_IDEC_flags savedflags, + _IDEC_flags flagsmask); + + extern void restoreFlags (_IDEC_flags flagsvalues, + _IDEC_flags flagsmask _EXC_FLAGS_PARAM); + + extern _IDEC_flags saveFlags (_IDEC_flags flagsmask + _EXC_FLAGS_PARAM); + +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round getDecimalRoundingDirection (_IDEC_round rnd_mode); +#else + _IDEC_round getDecimalRoundingDirection (void); +#endif + +#if !DECIMAL_GLOBAL_ROUNDING + _IDEC_round setDecimalRoundingDirection (_IDEC_round + rounding_mode + _RND_MODE_PARAM); +#else + void setDecimalRoundingDirection (_IDEC_round rounding_mode); +#endif + +#endif + +// Internal Functions + + extern void + round64_2_18 (int q, + int x, + UINT64 C, + UINT64 * ptr_Cstar, + int *delta_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint); + + extern void + round128_19_38 (int q, + int x, + UINT128 C, + UINT128 * ptr_Cstar, + int *delta_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint); + + extern void + round192_39_57 (int q, + int x, + UINT192 C, + UINT192 * ptr_Cstar, + int *delta_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint); + + extern void + round256_58_76 (int q, + int x, + UINT256 C, + UINT256 * ptr_Cstar, + int *delta_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint); + +#endif + +// Prototypes for Internal Functions + + extern UINT32 bid_to_bid32 (UINT32); + extern UINT64 bid_to_bid64 (UINT64); + extern UINT128 bid_to_bid128 (UINT128); + extern UINT32 bid32_canonize (UINT32); + extern UINT64 bid64_canonize (UINT64); + extern UINT128 bid128_canonize (UINT128); diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_gcc_intrinsics.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_gcc_intrinsics.h new file mode 100644 index 0000000000..f75e295584 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_gcc_intrinsics.h @@ -0,0 +1,286 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _BID_GCC_INTRINSICS_H +#define _BID_GCC_INTRINSICS_H + +#ifdef IN_LIBGCC2 + +#include "tconfig.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +#ifdef __LIBGCC_HAS_XF_MODE__ +#define LIBGCC2_HAS_XF_MODE 1 +#else +#define LIBGCC2_HAS_XF_MODE 0 +#endif + +#ifdef __LIBGCC_HAS_TF_MODE__ +#define LIBGCC2_HAS_TF_MODE 1 +#else +#define LIBGCC2_HAS_TF_MODE 0 +#endif + +#ifndef BID_HAS_XF_MODE +#define BID_HAS_XF_MODE LIBGCC2_HAS_XF_MODE +#endif + +#ifndef BID_HAS_TF_MODE +#define BID_HAS_TF_MODE LIBGCC2_HAS_TF_MODE +#endif + +/* Some handy typedefs. */ + +typedef float SFtype __attribute__ ((mode (SF))); +typedef float DFtype __attribute__ ((mode (DF))); +#if LIBGCC2_HAS_XF_MODE +typedef float XFtype __attribute__ ((mode (XF))); +#endif /* LIBGCC2_HAS_XF_MODE */ +#if LIBGCC2_HAS_TF_MODE +typedef float TFtype __attribute__ ((mode (TF))); +#endif /* LIBGCC2_HAS_XF_MODE */ + +typedef int SItype __attribute__ ((mode (SI))); +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); + +/* The type of the result of a decimal float comparison. This must + match `word_mode' in GCC for the target. */ + +typedef int CMPtype __attribute__ ((mode (word))); + +typedef int SINT8 __attribute__ ((mode (QI))); +typedef unsigned int UINT8 __attribute__ ((mode (QI))); +typedef USItype UINT32; +typedef SItype SINT32; +typedef UDItype UINT64; +typedef DItype SINT64; + +/* It has to be identical to the one defined in bid_functions.h. */ +typedef __attribute__ ((aligned(16))) struct +{ + UINT64 w[2]; +} UINT128; +#else /* if not IN_LIBGCC2 */ + +#ifndef BID_HAS_XF_MODE +#define BID_HAS_XF_MODE 1 +#endif + +#ifndef BID_HAS_TF_MODE +#if defined __i386__ +#define BID_HAS_TF_MODE 0 +#else +#define BID_HAS_TF_MODE 1 +#endif +#endif + +#ifndef SFtype +#define SFtype float +#endif + +#ifndef DFtype +#define DFtype double +#endif + +#if BID_HAS_XF_MODE +#ifndef XFtype +#define XFtype long double +#endif + +#endif /* IN_LIBGCC2 */ + +#if BID_HAS_TF_MODE +#ifndef TFtype +#define TFtype __float128 +#endif +#endif + +#ifndef SItype +#define SItype SINT32 +#endif + +#ifndef DItype +#define DItype SINT64 +#endif + +#ifndef USItype +#define USItype UINT32 +#endif + +#ifndef UDItype +#define UDItype UINT64 +#endif + +#ifndef CMPtype +#define CMPtype long +#endif +#endif /* IN_LIBGCC2 */ + +#if BID_HAS_GCC_DECIMAL_INTRINSICS +/* Prototypes for gcc instrinsics */ + +extern _Decimal64 __bid_adddd3 (_Decimal64, _Decimal64); +extern _Decimal64 __bid_subdd3 (_Decimal64, _Decimal64); +extern _Decimal32 __bid_addsd3 (_Decimal32, _Decimal32); +extern _Decimal32 __bid_subsd3 (_Decimal32, _Decimal32); +extern _Decimal128 __bid_addtd3 (_Decimal128, _Decimal128); +extern _Decimal128 __bid_subtd3 (_Decimal128, _Decimal128); +extern DFtype __bid_truncdddf (_Decimal64); +extern DItype __bid_fixdddi (_Decimal64); +extern _Decimal32 __bid_truncddsd2 (_Decimal64); +extern SFtype __bid_truncddsf (_Decimal64); +extern SItype __bid_fixddsi (_Decimal64); +extern _Decimal128 __bid_extendddtd2 (_Decimal64); +#if BID_HAS_TF_MODE +extern TFtype __bid_extendddtf (_Decimal64); +#endif +extern UDItype __bid_fixunsdddi (_Decimal64); +extern USItype __bid_fixunsddsi (_Decimal64); +#if BID_HAS_XF_MODE +extern XFtype __bid_extendddxf (_Decimal64); +#endif +extern _Decimal64 __bid_extenddfdd (DFtype); +extern _Decimal32 __bid_truncdfsd (DFtype); +extern _Decimal128 __bid_extenddftd (DFtype); +extern _Decimal64 __bid_floatdidd (DItype); +extern _Decimal32 __bid_floatdisd (DItype); +extern _Decimal128 __bid_floatditd (DItype); +extern _Decimal64 __bid_divdd3 (_Decimal64, _Decimal64); +extern _Decimal32 __bid_divsd3 (_Decimal32, _Decimal32); +extern _Decimal128 __bid_divtd3 (_Decimal128, _Decimal128); +extern CMPtype __bid_eqdd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_eqsd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_eqtd2 (_Decimal128, _Decimal128); +extern CMPtype __bid_gedd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_gesd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_getd2 (_Decimal128, _Decimal128); +extern CMPtype __bid_gtdd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_gtsd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_gttd2 (_Decimal128, _Decimal128); +extern CMPtype __bid_ledd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_lesd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_letd2 (_Decimal128, _Decimal128); +extern CMPtype __bid_ltdd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_ltsd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_lttd2 (_Decimal128, _Decimal128); +extern CMPtype __bid_nedd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_nesd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_netd2 (_Decimal128, _Decimal128); +extern CMPtype __bid_unorddd2 (_Decimal64, _Decimal64); +extern CMPtype __bid_unordsd2 (_Decimal32, _Decimal32); +extern CMPtype __bid_unordtd2 (_Decimal128, _Decimal128); +extern _Decimal64 __bid_muldd3 (_Decimal64, _Decimal64); +extern _Decimal32 __bid_mulsd3 (_Decimal32, _Decimal32); +extern _Decimal128 __bid_multd3 (_Decimal128, _Decimal128); +extern _Decimal64 __bid_extendsddd2 (_Decimal32); +extern DFtype __bid_extendsddf (_Decimal32); +extern DItype __bid_fixsddi (_Decimal32); +extern SFtype __bid_truncsdsf (_Decimal32); +extern SItype __bid_fixsdsi (_Decimal32); +extern _Decimal128 __bid_extendsdtd2 (_Decimal32); +#if BID_HAS_TF_MODE +extern TFtype __bid_extendsdtf (_Decimal32); +#endif +extern UDItype __bid_fixunssddi (_Decimal32); +extern USItype __bid_fixunssdsi (_Decimal32); +#if BID_HAS_XF_MODE +extern XFtype __bid_extendsdxf (_Decimal32); +#endif +extern _Decimal64 __bid_extendsfdd (SFtype); +extern _Decimal32 __bid_extendsfsd (SFtype); +extern _Decimal128 __bid_extendsftd (SFtype); +extern _Decimal64 __bid_floatsidd (SItype); +extern _Decimal32 __bid_floatsisd (SItype); +extern _Decimal128 __bid_floatsitd (SItype); +extern _Decimal64 __bid_trunctddd2 (_Decimal128); +extern DFtype __bid_trunctddf (_Decimal128); +extern DItype __bid_fixtddi (_Decimal128); +extern _Decimal32 __bid_trunctdsd2 (_Decimal128); +extern SFtype __bid_trunctdsf (_Decimal128); +extern SItype __bid_fixtdsi (_Decimal128); +#if BID_HAS_TF_MODE +extern TFtype __bid_trunctdtf (_Decimal128); +#endif +extern UDItype __bid_fixunstddi (_Decimal128); +extern USItype __bid_fixunstdsi (_Decimal128); +#if BID_HAS_XF_MODE +extern XFtype __bid_trunctdxf (_Decimal128); +#endif +#if BID_HAS_TF_MODE +extern _Decimal64 __bid_trunctfdd (TFtype); +extern _Decimal32 __bid_trunctfsd (TFtype); +extern _Decimal128 __bid_extendtftd (TFtype); +#endif +extern _Decimal64 __bid_floatunsdidd (UDItype); +extern _Decimal32 __bid_floatunsdisd (UDItype); +extern _Decimal128 __bid_floatunsditd (UDItype); +extern _Decimal64 __bid_floatunssidd (USItype); +extern _Decimal32 __bid_floatunssisd (USItype); +extern _Decimal128 __bid_floatunssitd (USItype); +#if BID_HAS_XF_MODE +extern _Decimal64 __bid_truncxfdd (XFtype); +extern _Decimal32 __bid_truncxfsd (XFtype); +extern _Decimal128 __bid_extendxftd (XFtype); +#endif +extern int isinfd32 (_Decimal32); +extern int isinfd64 (_Decimal64); +extern int isinfd128 (_Decimal128); +#endif /* BID_HAS_GCC_DECIMAL_INTRINSICS */ + +extern void __dfp_set_round (int); +extern int __dfp_get_round (void); +extern void __dfp_clear_except (void); +extern int __dfp_test_except (int); +extern void __dfp_raise_except (int); + +#if BID_HAS_GCC_DECIMAL_INTRINSICS +/* Used by gcc intrinsics. We have to define them after UINT128 + is defined. */ +union decimal32 { + _Decimal32 d; + UINT32 i; +}; + +union decimal64 { + _Decimal64 d; + UINT64 i; +}; + +union decimal128 { + _Decimal128 d; + UINT128 i; +}; + +#if BID_HAS_TF_MODE +union float128 { + TFtype f; + UINT128 i; +}; +#endif +#endif /* BID_HAS_GCC_DECIMAL_INTRINSICS */ + +#endif /* _BID_GCC_INTRINSICS_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_inline_add.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_inline_add.h new file mode 100644 index 0000000000..03bb65156b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_inline_add.h @@ -0,0 +1,1253 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * + * Helper add functions (for fma) + * + * __BID_INLINE__ UINT64 get_add64( + * UINT64 sign_x, int exponent_x, UINT64 coefficient_x, + * UINT64 sign_y, int exponent_y, UINT64 coefficient_y, + * int rounding_mode) + * + * __BID_INLINE__ UINT64 get_add128( + * UINT64 sign_x, int exponent_x, UINT64 coefficient_x, + * UINT64 sign_y, int final_exponent_y, UINT128 CY, + * int extra_digits, int rounding_mode) + * + ***************************************************************************** + * + * Algorithm description: + * + * get_add64: same as BID64 add, but arguments are unpacked and there + * are no special case checks + * + * get_add128: add 64-bit coefficient to 128-bit product (which contains + * 16+extra_digits decimal digits), + * return BID64 result + * - the exponents are compared and the two coefficients are + * properly aligned for addition/subtraction + * - multiple paths are needed + * - final result exponent is calculated and the lower term is + * rounded first if necessary, to avoid manipulating + * coefficients longer than 128 bits + * + ****************************************************************************/ + +#ifndef _INLINE_BID_ADD_H_ +#define _INLINE_BID_ADD_H_ + +#include "bid_internal.h" + +#define MAX_FORMAT_DIGITS 16 +#define DECIMAL_EXPONENT_BIAS 398 +#define MASK_BINARY_EXPONENT 0x7ff0000000000000ull +#define BINARY_EXPONENT_BIAS 0x3ff +#define UPPER_EXPON_LIMIT 51 + +/////////////////////////////////////////////////////////////////////// +// +// get_add64() is essentially the same as bid_add(), except that +// the arguments are unpacked +// +////////////////////////////////////////////////////////////////////// +__BID_INLINE__ UINT64 +get_add64 (UINT64 sign_x, int exponent_x, UINT64 coefficient_x, + UINT64 sign_y, int exponent_y, UINT64 coefficient_y, + int rounding_mode, unsigned *fpsc) { + UINT128 CA, CT, CT_new; + UINT64 sign_a, sign_b, coefficient_a, coefficient_b, sign_s, sign_ab, + rem_a; + UINT64 saved_ca, saved_cb, C0_64, C64, remainder_h, T1, carry, tmp, + C64_new; + int_double tempx; + int exponent_a, exponent_b, diff_dec_expon; + int bin_expon_ca, extra_digits, amount, scale_k, scale_ca; + unsigned rmode, status; + + // sort arguments by exponent + if (exponent_x <= exponent_y) { + sign_a = sign_y; + exponent_a = exponent_y; + coefficient_a = coefficient_y; + sign_b = sign_x; + exponent_b = exponent_x; + coefficient_b = coefficient_x; + } else { + sign_a = sign_x; + exponent_a = exponent_x; + coefficient_a = coefficient_x; + sign_b = sign_y; + exponent_b = exponent_y; + coefficient_b = coefficient_y; + } + + // exponent difference + diff_dec_expon = exponent_a - exponent_b; + + /* get binary coefficients of x and y */ + + //--- get number of bits in the coefficients of x and y --- + + tempx.d = (double) coefficient_a; + bin_expon_ca = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + + if (!coefficient_a) { + return get_BID64 (sign_b, exponent_b, coefficient_b, rounding_mode, + fpsc); + } + if (diff_dec_expon > MAX_FORMAT_DIGITS) { + // normalize a to a 16-digit coefficient + + scale_ca = estimate_decimal_digits[bin_expon_ca]; + if (coefficient_a >= power10_table_128[scale_ca].w[0]) + scale_ca++; + + scale_k = 16 - scale_ca; + + coefficient_a *= power10_table_128[scale_k].w[0]; + + diff_dec_expon -= scale_k; + exponent_a -= scale_k; + + /* get binary coefficients of x and y */ + + //--- get number of bits in the coefficients of x and y --- + tempx.d = (double) coefficient_a; + bin_expon_ca = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + + if (diff_dec_expon > MAX_FORMAT_DIGITS) { +#ifdef SET_STATUS_FLAGS + if (coefficient_b) { + __set_status_flags (fpsc, INEXACT_EXCEPTION); + } +#endif + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (((rounding_mode) & 3) && coefficient_b) // not ROUNDING_TO_NEAREST + { + switch (rounding_mode) { + case ROUNDING_DOWN: + if (sign_b) { + coefficient_a -= ((((SINT64) sign_a) >> 63) | 1); + if (coefficient_a < 1000000000000000ull) { + exponent_a--; + coefficient_a = 9999999999999999ull; + } else if (coefficient_a >= 10000000000000000ull) { + exponent_a++; + coefficient_a = 1000000000000000ull; + } + } + break; + case ROUNDING_UP: + if (!sign_b) { + coefficient_a += ((((SINT64) sign_a) >> 63) | 1); + if (coefficient_a < 1000000000000000ull) { + exponent_a--; + coefficient_a = 9999999999999999ull; + } else if (coefficient_a >= 10000000000000000ull) { + exponent_a++; + coefficient_a = 1000000000000000ull; + } + } + break; + default: // RZ + if (sign_a != sign_b) { + coefficient_a--; + if (coefficient_a < 1000000000000000ull) { + exponent_a--; + coefficient_a = 9999999999999999ull; + } + } + break; + } + } else +#endif +#endif + // check special case here + if ((coefficient_a == 1000000000000000ull) + && (diff_dec_expon == MAX_FORMAT_DIGITS + 1) + && (sign_a ^ sign_b) + && (coefficient_b > 5000000000000000ull)) { + coefficient_a = 9999999999999999ull; + exponent_a--; + } + + return get_BID64 (sign_a, exponent_a, coefficient_a, + rounding_mode, fpsc); + } + } + // test whether coefficient_a*10^(exponent_a-exponent_b) may exceed 2^62 + if (bin_expon_ca + estimate_bin_expon[diff_dec_expon] < 60) { + // coefficient_a*10^(exponent_a-exponent_b)<2^63 + + // multiply by 10^(exponent_a-exponent_b) + coefficient_a *= power10_table_128[diff_dec_expon].w[0]; + + // sign mask + sign_b = ((SINT64) sign_b) >> 63; + // apply sign to coeff. of b + coefficient_b = (coefficient_b + sign_b) ^ sign_b; + + // apply sign to coefficient a + sign_a = ((SINT64) sign_a) >> 63; + coefficient_a = (coefficient_a + sign_a) ^ sign_a; + + coefficient_a += coefficient_b; + // get sign + sign_s = ((SINT64) coefficient_a) >> 63; + coefficient_a = (coefficient_a + sign_s) ^ sign_s; + sign_s &= 0x8000000000000000ull; + + // coefficient_a < 10^16 ? + if (coefficient_a < power10_table_128[MAX_FORMAT_DIGITS].w[0]) { +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rounding_mode == ROUNDING_DOWN && (!coefficient_a) + && sign_a != sign_b) + sign_s = 0x8000000000000000ull; +#endif +#endif + return get_BID64 (sign_s, exponent_b, coefficient_a, + rounding_mode, fpsc); + } + // otherwise rounding is necessary + + // already know coefficient_a<10^19 + // coefficient_a < 10^17 ? + if (coefficient_a < power10_table_128[17].w[0]) + extra_digits = 1; + else if (coefficient_a < power10_table_128[18].w[0]) + extra_digits = 2; + else + extra_digits = 3; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rounding_mode; + if (sign_s && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + coefficient_a += round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_a, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C64 = CT.w[1] >> amount; + + } else { + // coefficient_a*10^(exponent_a-exponent_b) is large + sign_s = sign_a; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rounding_mode; + if (sign_s && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + + // check whether we can take faster path + scale_ca = estimate_decimal_digits[bin_expon_ca]; + + sign_ab = sign_a ^ sign_b; + sign_ab = ((SINT64) sign_ab) >> 63; + + // T1 = 10^(16-diff_dec_expon) + T1 = power10_table_128[16 - diff_dec_expon].w[0]; + + // get number of digits in coefficient_a + //P_ca = power10_table_128[scale_ca].w[0]; + //P_ca_m1 = power10_table_128[scale_ca-1].w[0]; + if (coefficient_a >= power10_table_128[scale_ca].w[0]) { + scale_ca++; + //P_ca_m1 = P_ca; + //P_ca = power10_table_128[scale_ca].w[0]; + } + + scale_k = 16 - scale_ca; + + // apply sign + //Ts = (T1 + sign_ab) ^ sign_ab; + + // test range of ca + //X = coefficient_a + Ts - P_ca_m1; + + // addition + saved_ca = coefficient_a - T1; + coefficient_a = + (SINT64) saved_ca *(SINT64) power10_table_128[scale_k].w[0]; + extra_digits = diff_dec_expon - scale_k; + + // apply sign + saved_cb = (coefficient_b + sign_ab) ^ sign_ab; + // add 10^16 and rounding constant + coefficient_b = + saved_cb + 10000000000000000ull + + round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_b, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C0_64 = CT.w[1] >> amount; + + // result coefficient + C64 = C0_64 + coefficient_a; + // filter out difficult (corner) cases + // the following test is equivalent to + // ( (initial_coefficient_a + Ts) < P_ca && + // (initial_coefficient_a + Ts) > P_ca_m1 ), + // which ensures the number of digits in coefficient_a does not change + // after adding (the appropriately scaled and rounded) coefficient_b + if ((UINT64) (C64 - 1000000000000000ull - 1) > + 9000000000000000ull - 2) { + if (C64 >= 10000000000000000ull) { + // result has more than 16 digits + if (!scale_k) { + // must divide coeff_a by 10 + saved_ca = saved_ca + T1; + __mul_64x64_to_128 (CA, saved_ca, 0x3333333333333334ull); + //reciprocals10_64[1]); + coefficient_a = CA.w[1] >> 1; + rem_a = + saved_ca - (coefficient_a << 3) - (coefficient_a << 1); + coefficient_a = coefficient_a - T1; + + saved_cb += + /*90000000000000000 */ +rem_a * + power10_table_128[diff_dec_expon].w[0]; + } else + coefficient_a = + (SINT64) (saved_ca - T1 - + (T1 << 3)) * (SINT64) power10_table_128[scale_k - + 1].w[0]; + + extra_digits++; + coefficient_b = + saved_cb + 100000000000000000ull + + round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT, coefficient_b, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C0_64 = CT.w[1] >> amount; + + // result coefficient + C64 = C0_64 + coefficient_a; + } else if (C64 <= 1000000000000000ull) { + // less than 16 digits in result + coefficient_a = + (SINT64) saved_ca *(SINT64) power10_table_128[scale_k + + 1].w[0]; + //extra_digits --; + exponent_b--; + coefficient_b = + (saved_cb << 3) + (saved_cb << 1) + 100000000000000000ull + + round_const_table[rmode][extra_digits]; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (CT_new, coefficient_b, + reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift C64 right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + C0_64 = CT_new.w[1] >> amount; + + // result coefficient + C64_new = C0_64 + coefficient_a; + if (C64_new < 10000000000000000ull) { + C64 = C64_new; +#ifdef SET_STATUS_FLAGS + CT = CT_new; +#endif + } else + exponent_b++; + } + + } + + } + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits + // is exactly .5 + // this is the same as fractional part of + // (initial_P + 0.5*10^extra_digits)/10^extra_digits is exactly zero + + // get remainder + remainder_h = CT.w[1] << (64 - amount); + + // test whether fractional part is 0 + if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status = INEXACT_EXCEPTION; + + // get remainder + remainder_h = CT.w[1] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if ((remainder_h == 0x8000000000000000ull) + && (CT.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h && (CT.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (tmp, carry, CT.w[0], + reciprocals10_64[extra_digits]); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + break; + } + __set_status_flags (fpsc, status); + +#endif + + return get_BID64 (sign_s, exponent_b + extra_digits, C64, + rounding_mode, fpsc); +} + + +/////////////////////////////////////////////////////////////////// +// round 128-bit coefficient and return result in BID64 format +// do not worry about midpoint cases +////////////////////////////////////////////////////////////////// +static UINT64 +__bid_simple_round64_sticky (UINT64 sign, int exponent, UINT128 P, + int extra_digits, int rounding_mode, + unsigned *fpsc) { + UINT128 Q_high, Q_low, C128; + UINT64 C64; + int amount, rmode; + + rmode = rounding_mode; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (sign && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#endif +#endif + __add_128_64 (P, P, round_const_table[rmode][extra_digits]); + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_full (Q_high, Q_low, P, + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + __shr_128 (C128, Q_high, amount); + + C64 = __low_64 (C128); + +#ifdef SET_STATUS_FLAGS + + __set_status_flags (fpsc, INEXACT_EXCEPTION); + +#endif + + return get_BID64 (sign, exponent, C64, rounding_mode, fpsc); +} + +/////////////////////////////////////////////////////////////////// +// round 128-bit coefficient and return result in BID64 format +/////////////////////////////////////////////////////////////////// +static UINT64 +__bid_full_round64 (UINT64 sign, int exponent, UINT128 P, + int extra_digits, int rounding_mode, + unsigned *fpsc) { + UINT128 Q_high, Q_low, C128, Stemp, PU; + UINT64 remainder_h, C64, carry, CY; + int amount, amount2, rmode, status = 0; + + if (exponent < 0) { + if (exponent >= -16 && (extra_digits + exponent < 0)) { + extra_digits = -exponent; +#ifdef SET_STATUS_FLAGS + if (extra_digits > 0) { + rmode = rounding_mode; + if (sign && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + __add_128_128 (PU, P, + round_const_table_128[rmode][extra_digits]); + if (__unsigned_compare_gt_128 + (power10_table_128[extra_digits + 15], PU)) + status = UNDERFLOW_EXCEPTION; + } +#endif + } + } + + if (extra_digits > 0) { + exponent += extra_digits; + rmode = rounding_mode; + if (sign && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + __add_128_128 (P, P, round_const_table_128[rmode][extra_digits]); + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_full (Q_high, Q_low, P, + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + __shr_128_long (C128, Q_high, amount); + + C64 = __low_64 (C128); + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits + // is exactly .5 + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & Q_high.w[0]; + + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status |= INEXACT_EXCEPTION; + + // get remainder + remainder_h = Q_high.w[0] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Q_low.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Q_low.w[1], + reciprocals10_128[extra_digits].w[1], CY); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + __set_status_flags (fpsc, status); + +#endif + } else { + C64 = P.w[0]; + if (!C64) { + sign = 0; + if (rounding_mode == ROUNDING_DOWN) + sign = 0x8000000000000000ull; + } + } + return get_BID64 (sign, exponent, C64, rounding_mode, fpsc); +} + +///////////////////////////////////////////////////////////////////////////////// +// round 192-bit coefficient (P, remainder_P) and return result in BID64 format +// the lowest 64 bits (remainder_P) are used for midpoint checking only +//////////////////////////////////////////////////////////////////////////////// +static UINT64 +__bid_full_round64_remainder (UINT64 sign, int exponent, UINT128 P, + int extra_digits, UINT64 remainder_P, + int rounding_mode, unsigned *fpsc, + unsigned uf_status) { + UINT128 Q_high, Q_low, C128, Stemp; + UINT64 remainder_h, C64, carry, CY; + int amount, amount2, rmode, status = uf_status; + + rmode = rounding_mode; + if (sign && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; + if (rmode == ROUNDING_UP && remainder_P) { + P.w[0]++; + if (!P.w[0]) + P.w[1]++; + } + + if (extra_digits) { + __add_128_64 (P, P, round_const_table[rmode][extra_digits]); + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_full (Q_high, Q_low, P, + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + __shr_128 (C128, Q_high, amount); + + C64 = __low_64 (C128); + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (!remainder_P && (C64 & 1)) { + // check whether fractional part of initial_P/10^extra_digits + // is exactly .5 + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & Q_high.w[0]; + + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + status |= INEXACT_EXCEPTION; + + if (!remainder_P) { + // get remainder + remainder_h = Q_high.w[0] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Q_low.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Q_low.w[1], + reciprocals10_128[extra_digits].w[1], CY); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + } + __set_status_flags (fpsc, status); + +#endif + } else { + C64 = P.w[0]; +#ifdef SET_STATUS_FLAGS + if (remainder_P) { + __set_status_flags (fpsc, uf_status | INEXACT_EXCEPTION); + } +#endif + } + + return get_BID64 (sign, exponent + extra_digits, C64, rounding_mode, + fpsc); +} + + +/////////////////////////////////////////////////////////////////// +// get P/10^extra_digits +// result fits in 64 bits +/////////////////////////////////////////////////////////////////// +__BID_INLINE__ UINT64 +__truncate (UINT128 P, int extra_digits) +// extra_digits <= 16 +{ + UINT128 Q_high, Q_low, C128; + UINT64 C64; + int amount; + + // get P*(2^M[extra_digits])/10^extra_digits + __mul_128x128_full (Q_high, Q_low, P, + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + __shr_128 (C128, Q_high, amount); + + C64 = __low_64 (C128); + + return C64; +} + + +/////////////////////////////////////////////////////////////////// +// return number of decimal digits in 128-bit value X +/////////////////////////////////////////////////////////////////// +__BID_INLINE__ int +__get_dec_digits64 (UINT128 X) { + int_double tempx; + int digits_x, bin_expon_cx; + + if (!X.w[1]) { + //--- get number of bits in the coefficients of x and y --- + tempx.d = (double) X.w[0]; + bin_expon_cx = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + // get number of decimal digits in the coeff_x + digits_x = estimate_decimal_digits[bin_expon_cx]; + if (X.w[0] >= power10_table_128[digits_x].w[0]) + digits_x++; + return digits_x; + } + tempx.d = (double) X.w[1]; + bin_expon_cx = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + // get number of decimal digits in the coeff_x + digits_x = estimate_decimal_digits[bin_expon_cx + 64]; + if (__unsigned_compare_ge_128 (X, power10_table_128[digits_x])) + digits_x++; + + return digits_x; +} + + +//////////////////////////////////////////////////////////////////////////////// +// +// add 64-bit coefficient to 128-bit coefficient, return result in BID64 format +// +//////////////////////////////////////////////////////////////////////////////// +__BID_INLINE__ UINT64 +get_add128 (UINT64 sign_x, int exponent_x, UINT64 coefficient_x, + UINT64 sign_y, int final_exponent_y, UINT128 CY, + int extra_digits, int rounding_mode, unsigned *fpsc) { + UINT128 CY_L, CX, FS, F, CT, ST, T2; + UINT64 CYh, CY0L, T, S, coefficient_y, remainder_y; + SINT64 D = 0; + int_double tempx; + int diff_dec_expon, extra_digits2, exponent_y, status; + int extra_dx, diff_dec2, bin_expon_cx, digits_x, rmode; + + // CY has more than 16 decimal digits + + exponent_y = final_exponent_y - extra_digits; + +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + rounding_mode = 0; +#endif +#ifdef IEEE_ROUND_NEAREST + rounding_mode = 0; +#endif + + if (exponent_x > exponent_y) { + // normalize x + //--- get number of bits in the coefficients of x and y --- + tempx.d = (double) coefficient_x; + bin_expon_cx = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + // get number of decimal digits in the coeff_x + digits_x = estimate_decimal_digits[bin_expon_cx]; + if (coefficient_x >= power10_table_128[digits_x].w[0]) + digits_x++; + + extra_dx = 16 - digits_x; + coefficient_x *= power10_table_128[extra_dx].w[0]; + if ((sign_x ^ sign_y) && (coefficient_x == 1000000000000000ull)) { + extra_dx++; + coefficient_x = 10000000000000000ull; + } + exponent_x -= extra_dx; + + if (exponent_x > exponent_y) { + + // exponent_x > exponent_y + diff_dec_expon = exponent_x - exponent_y; + + if (exponent_x <= final_exponent_y + 1) { + __mul_64x64_to_128 (CX, coefficient_x, + power10_table_128[diff_dec_expon].w[0]); + + if (sign_x == sign_y) { + __add_128_128 (CT, CY, CX); + if ((exponent_x > + final_exponent_y) /*&& (final_exponent_y>0) */ ) + extra_digits++; + if (__unsigned_compare_ge_128 + (CT, power10_table_128[16 + extra_digits])) + extra_digits++; + } else { + __sub_128_128 (CT, CY, CX); + if (((SINT64) CT.w[1]) < 0) { + CT.w[0] = 0 - CT.w[0]; + CT.w[1] = 0 - CT.w[1]; + if (CT.w[0]) + CT.w[1]--; + sign_y = sign_x; + } else if (!(CT.w[1] | CT.w[0])) { + sign_y = + (rounding_mode != + ROUNDING_DOWN) ? 0 : 0x8000000000000000ull; + } + if ((exponent_x + 1 >= + final_exponent_y) /*&& (final_exponent_y>=0) */ ) { + extra_digits = __get_dec_digits64 (CT) - 16; + if (extra_digits <= 0) { + if (!CT.w[0] && rounding_mode == ROUNDING_DOWN) + sign_y = 0x8000000000000000ull; + return get_BID64 (sign_y, exponent_y, CT.w[0], + rounding_mode, fpsc); + } + } else + if (__unsigned_compare_gt_128 + (power10_table_128[15 + extra_digits], CT)) + extra_digits--; + } + + return __bid_full_round64 (sign_y, exponent_y, CT, extra_digits, + rounding_mode, fpsc); + } + // diff_dec2+extra_digits is the number of digits to eliminate from + // argument CY + diff_dec2 = exponent_x - final_exponent_y; + + if (diff_dec2 >= 17) { +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + if ((rounding_mode) & 3) { + switch (rounding_mode) { + case ROUNDING_UP: + if (!sign_y) { + D = ((SINT64) (sign_x ^ sign_y)) >> 63; + D = D + D + 1; + coefficient_x += D; + } + break; + case ROUNDING_DOWN: + if (sign_y) { + D = ((SINT64) (sign_x ^ sign_y)) >> 63; + D = D + D + 1; + coefficient_x += D; + } + break; + case ROUNDING_TO_ZERO: + if (sign_y != sign_x) { + D = 0 - 1; + coefficient_x += D; + } + break; + } + if (coefficient_x < 1000000000000000ull) { + coefficient_x -= D; + coefficient_x = + D + (coefficient_x << 1) + (coefficient_x << 3); + exponent_x--; + } + } +#endif +#endif +#ifdef SET_STATUS_FLAGS + if (CY.w[1] | CY.w[0]) + __set_status_flags (fpsc, INEXACT_EXCEPTION); +#endif + return get_BID64 (sign_x, exponent_x, coefficient_x, + rounding_mode, fpsc); + } + // here exponent_x <= 16+final_exponent_y + + // truncate CY to 16 dec. digits + CYh = __truncate (CY, extra_digits); + + // get remainder + T = power10_table_128[extra_digits].w[0]; + __mul_64x64_to_64 (CY0L, CYh, T); + + remainder_y = CY.w[0] - CY0L; + + // align coeff_x, CYh + __mul_64x64_to_128 (CX, coefficient_x, + power10_table_128[diff_dec2].w[0]); + + if (sign_x == sign_y) { + __add_128_64 (CT, CX, CYh); + if (__unsigned_compare_ge_128 + (CT, power10_table_128[16 + diff_dec2])) + diff_dec2++; + } else { + if (remainder_y) + CYh++; + __sub_128_64 (CT, CX, CYh); + if (__unsigned_compare_gt_128 + (power10_table_128[15 + diff_dec2], CT)) + diff_dec2--; + } + + return __bid_full_round64_remainder (sign_x, final_exponent_y, CT, + diff_dec2, remainder_y, + rounding_mode, fpsc, 0); + } + } + // Here (exponent_x <= exponent_y) + { + diff_dec_expon = exponent_y - exponent_x; + + if (diff_dec_expon > MAX_FORMAT_DIGITS) { + rmode = rounding_mode; + + if ((sign_x ^ sign_y)) { + if (!CY.w[0]) + CY.w[1]--; + CY.w[0]--; + if (__unsigned_compare_gt_128 + (power10_table_128[15 + extra_digits], CY)) { + if (rmode & 3) { + extra_digits--; + final_exponent_y--; + } else { + CY.w[0] = 1000000000000000ull; + CY.w[1] = 0; + extra_digits = 0; + } + } + } + __scale128_10 (CY, CY); + extra_digits++; + CY.w[0] |= 1; + + return __bid_simple_round64_sticky (sign_y, final_exponent_y, CY, + extra_digits, rmode, fpsc); + } + // apply sign to coeff_x + sign_x ^= sign_y; + sign_x = ((SINT64) sign_x) >> 63; + CX.w[0] = (coefficient_x + sign_x) ^ sign_x; + CX.w[1] = sign_x; + + // check whether CY (rounded to 16 digits) and CX have + // any digits in the same position + diff_dec2 = final_exponent_y - exponent_x; + + if (diff_dec2 <= 17) { + // align CY to 10^ex + S = power10_table_128[diff_dec_expon].w[0]; + __mul_64x128_short (CY_L, S, CY); + + __add_128_128 (ST, CY_L, CX); + extra_digits2 = __get_dec_digits64 (ST) - 16; + return __bid_full_round64 (sign_y, exponent_x, ST, extra_digits2, + rounding_mode, fpsc); + } + // truncate CY to 16 dec. digits + CYh = __truncate (CY, extra_digits); + + // get remainder + T = power10_table_128[extra_digits].w[0]; + __mul_64x64_to_64 (CY0L, CYh, T); + + coefficient_y = CY.w[0] - CY0L; + // add rounding constant + rmode = rounding_mode; + if (sign_y && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (!(rmode & 3)) //ROUNDING_TO_NEAREST +#endif +#endif + { + coefficient_y += round_const_table[rmode][extra_digits]; + } + // align coefficient_y, coefficient_x + S = power10_table_128[diff_dec_expon].w[0]; + __mul_64x64_to_128 (F, coefficient_y, S); + + // fraction + __add_128_128 (FS, F, CX); + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + { + // rounding code, here RN_EVEN + // 10^(extra_digits+diff_dec_expon) + T2 = power10_table_128[diff_dec_expon + extra_digits]; + if (__unsigned_compare_gt_128 (FS, T2) + || ((CYh & 1) && __test_equal_128 (FS, T2))) { + CYh++; + __sub_128_128 (FS, FS, T2); + } + } +#endif +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + if (rmode == 4) //ROUNDING_TO_NEAREST +#endif + { + // rounding code, here RN_AWAY + // 10^(extra_digits+diff_dec_expon) + T2 = power10_table_128[diff_dec_expon + extra_digits]; + if (__unsigned_compare_ge_128 (FS, T2)) { + CYh++; + __sub_128_128 (FS, FS, T2); + } + } +#endif +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + switch (rmode) { + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if ((SINT64) FS.w[1] < 0) { + CYh--; + if (CYh < 1000000000000000ull) { + CYh = 9999999999999999ull; + final_exponent_y--; + } + } else { + T2 = power10_table_128[diff_dec_expon + extra_digits]; + if (__unsigned_compare_ge_128 (FS, T2)) { + CYh++; + __sub_128_128 (FS, FS, T2); + } + } + break; + case ROUNDING_UP: + if ((SINT64) FS.w[1] < 0) + break; + T2 = power10_table_128[diff_dec_expon + extra_digits]; + if (__unsigned_compare_gt_128 (FS, T2)) { + CYh += 2; + __sub_128_128 (FS, FS, T2); + } else if ((FS.w[1] == T2.w[1]) && (FS.w[0] == T2.w[0])) { + CYh++; + FS.w[1] = FS.w[0] = 0; + } else if (FS.w[1] | FS.w[0]) + CYh++; + break; + } +#endif +#endif + +#ifdef SET_STATUS_FLAGS + status = INEXACT_EXCEPTION; +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + if (!(rmode & 3)) +#endif +#endif + { + // RN modes + if ((FS.w[1] == + round_const_table_128[0][diff_dec_expon + extra_digits].w[1]) + && (FS.w[0] == + round_const_table_128[0][diff_dec_expon + + extra_digits].w[0])) + status = EXACT_STATUS; + } +#ifndef IEEE_ROUND_NEAREST +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY + else if (!FS.w[1] && !FS.w[0]) + status = EXACT_STATUS; +#endif +#endif + + __set_status_flags (fpsc, status); +#endif + + return get_BID64 (sign_y, final_exponent_y, CYh, rounding_mode, + fpsc); + } + +} + +////////////////////////////////////////////////////////////////////////// +// +// If coefficient_z is less than 16 digits long, normalize to 16 digits +// +///////////////////////////////////////////////////////////////////////// +static UINT64 +BID_normalize (UINT64 sign_z, int exponent_z, + UINT64 coefficient_z, UINT64 round_dir, int round_flag, + int rounding_mode, unsigned *fpsc) { + SINT64 D; + int_double tempx; + int digits_z, bin_expon, scale, rmode; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = rounding_mode; + if (sign_z && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + if (coefficient_z >= power10_table_128[15].w[0]) + return z; +#endif +#endif + + //--- get number of bits in the coefficients of x and y --- + tempx.d = (double) coefficient_z; + bin_expon = ((tempx.i & MASK_BINARY_EXPONENT) >> 52) - 0x3ff; + // get number of decimal digits in the coeff_x + digits_z = estimate_decimal_digits[bin_expon]; + if (coefficient_z >= power10_table_128[digits_z].w[0]) + digits_z++; + + scale = 16 - digits_z; + exponent_z -= scale; + if (exponent_z < 0) { + scale += exponent_z; + exponent_z = 0; + } + coefficient_z *= power10_table_128[scale].w[0]; + +#ifdef SET_STATUS_FLAGS + if (round_flag) { + __set_status_flags (fpsc, INEXACT_EXCEPTION); + if (coefficient_z < 1000000000000000ull) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else if ((coefficient_z == 1000000000000000ull) && !exponent_z + && ((SINT64) (round_dir ^ sign_z) < 0) && round_flag + && (rmode == ROUNDING_DOWN || rmode == ROUNDING_TO_ZERO)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + } +#endif + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (round_flag && (rmode & 3)) { + D = round_dir ^ sign_z; + + if (rmode == ROUNDING_UP) { + if (D >= 0) + coefficient_z++; + } else { + if (D < 0) + coefficient_z--; + if (coefficient_z < 1000000000000000ull && exponent_z) { + coefficient_z = 9999999999999999ull; + exponent_z--; + } + } + } +#endif +#endif + + return get_BID64 (sign_z, exponent_z, coefficient_z, rounding_mode, + fpsc); +} + + +////////////////////////////////////////////////////////////////////////// +// +// 0*10^ey + cz*10^ez, ey> 52) - 0x3ff; + scale_cz = estimate_decimal_digits[bin_expon]; + if (coefficient_z >= power10_table_128[scale_cz].w[0]) + scale_cz++; + + scale_k = 16 - scale_cz; + if (diff_expon < scale_k) + scale_k = diff_expon; + coefficient_z *= power10_table_128[scale_k].w[0]; + + return get_BID64 (sign_z, exponent_z - scale_k, coefficient_z, + *prounding_mode, fpsc); +} +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_internal.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_internal.h new file mode 100644 index 0000000000..7a9f447e59 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_internal.h @@ -0,0 +1,2607 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef __BIDECIMAL_H +#define __BIDECIMAL_H + +#include "bid_conf.h" +#include "bid_functions.h" + +#define __BID_INLINE__ static __inline + +/********************************************************************* + * + * Logical Shift Macros + * + *********************************************************************/ + +#define __shr_128(Q, A, k) \ +{ \ + (Q).w[0] = (A).w[0] >> k; \ + (Q).w[0] |= (A).w[1] << (64-k); \ + (Q).w[1] = (A).w[1] >> k; \ +} + +#define __shr_128_long(Q, A, k) \ +{ \ + if((k)<64) { \ + (Q).w[0] = (A).w[0] >> k; \ + (Q).w[0] |= (A).w[1] << (64-k); \ + (Q).w[1] = (A).w[1] >> k; \ + } \ + else { \ + (Q).w[0] = (A).w[1]>>((k)-64); \ + (Q).w[1] = 0; \ + } \ +} + +#define __shl_128_long(Q, A, k) \ +{ \ + if((k)<64) { \ + (Q).w[1] = (A).w[1] << k; \ + (Q).w[1] |= (A).w[0] >> (64-k); \ + (Q).w[0] = (A).w[0] << k; \ + } \ + else { \ + (Q).w[1] = (A).w[0]<<((k)-64); \ + (Q).w[0] = 0; \ + } \ +} + +#define __low_64(Q) (Q).w[0] +/********************************************************************* + * + * String Macros + * + *********************************************************************/ +#define tolower_macro(x) (((unsigned char)((x)-'A')<=('Z'-'A'))?((x)-'A'+'a'):(x)) +/********************************************************************* + * + * Compare Macros + * + *********************************************************************/ +// greater than +// return 0 if A<=B +// non-zero if A>B +#define __unsigned_compare_gt_128(A, B) \ + ((A.w[1]>B.w[1]) || ((A.w[1]==B.w[1]) && (A.w[0]>B.w[0]))) +// greater-or-equal +#define __unsigned_compare_ge_128(A, B) \ + ((A.w[1]>B.w[1]) || ((A.w[1]==B.w[1]) && (A.w[0]>=B.w[0]))) +#define __test_equal_128(A, B) (((A).w[1]==(B).w[1]) && ((A).w[0]==(B).w[0])) +// tighten exponent range +#define __tight_bin_range_128(bp, P, bin_expon) \ +{ \ +UINT64 M; \ + M = 1; \ + (bp) = (bin_expon); \ + if((bp)<63) { \ + M <<= ((bp)+1); \ + if((P).w[0] >= M) (bp)++; } \ + else if((bp)>64) { \ + M <<= ((bp)+1-64); \ + if(((P).w[1]>M) ||((P).w[1]==M && (P).w[0]))\ + (bp)++; } \ + else if((P).w[1]) (bp)++; \ +} +/********************************************************************* + * + * Add/Subtract Macros + * + *********************************************************************/ +// add 64-bit value to 128-bit +#define __add_128_64(R128, A128, B64) \ +{ \ +UINT64 R64H; \ + R64H = (A128).w[1]; \ + (R128).w[0] = (B64) + (A128).w[0]; \ + if((R128).w[0] < (B64)) \ + R64H ++; \ + (R128).w[1] = R64H; \ +} +// subtract 64-bit value from 128-bit +#define __sub_128_64(R128, A128, B64) \ +{ \ +UINT64 R64H; \ + R64H = (A128).w[1]; \ + if((A128).w[0] < (B64)) \ + R64H --; \ + (R128).w[1] = R64H; \ + (R128).w[0] = (A128).w[0] - (B64); \ +} +// add 128-bit value to 128-bit +// assume no carry-out +#define __add_128_128(R128, A128, B128) \ +{ \ +UINT128 Q128; \ + Q128.w[1] = (A128).w[1]+(B128).w[1]; \ + Q128.w[0] = (B128).w[0] + (A128).w[0]; \ + if(Q128.w[0] < (B128).w[0]) \ + Q128.w[1] ++; \ + (R128).w[1] = Q128.w[1]; \ + (R128).w[0] = Q128.w[0]; \ +} +#define __sub_128_128(R128, A128, B128) \ +{ \ +UINT128 Q128; \ + Q128.w[1] = (A128).w[1]-(B128).w[1]; \ + Q128.w[0] = (A128).w[0] - (B128).w[0]; \ + if((A128).w[0] < (B128).w[0]) \ + Q128.w[1] --; \ + (R128).w[1] = Q128.w[1]; \ + (R128).w[0] = Q128.w[0]; \ +} +#define __add_carry_out(S, CY, X, Y) \ +{ \ +UINT64 X1=X; \ + S = X + Y; \ + CY = (SX1) ? 1 : 0; \ +} +#define __sub_borrow_in_out(S, CY, X, Y, CI) \ +{ \ +UINT64 X1, X0=X; \ + X1 = X - CI; \ + S = X1 - Y; \ + CY = ((S>X1) || (X1>X0)) ? 1 : 0; \ +} +// increment C128 and check for rounding overflow: +// if (C_128) = 10^34 then (C_128) = 10^33 and increment the exponent +#define INCREMENT(C_128, exp) \ +{ \ + C_128.w[0]++; \ + if (C_128.w[0] == 0) C_128.w[1]++; \ + if (C_128.w[1] == 0x0001ed09bead87c0ull && \ + C_128.w[0] == 0x378d8e6400000000ull) { \ + exp++; \ + C_128.w[1] = 0x0000314dc6448d93ull; \ + C_128.w[0] = 0x38c15b0a00000000ull; \ + } \ +} +// decrement C128 and check for rounding underflow, but only at the +// boundary: if C_128 = 10^33 - 1 and exp > 0 then C_128 = 10^34 - 1 +// and decrement the exponent +#define DECREMENT(C_128, exp) \ +{ \ + C_128.w[0]--; \ + if (C_128.w[0] == 0xffffffffffffffffull) C_128.w[1]--; \ + if (C_128.w[1] == 0x0000314dc6448d93ull && \ + C_128.w[0] == 0x38c15b09ffffffffull && exp > 0) { \ + exp--; \ + C_128.w[1] = 0x0001ed09bead87c0ull; \ + C_128.w[0] = 0x378d8e63ffffffffull; \ + } \ +} + + /********************************************************************* + * + * Multiply Macros + * + *********************************************************************/ +#define __mul_64x64_to_64(P64, CX, CY) (P64) = (CX) * (CY) +/*************************************** + * Signed, Full 64x64-bit Multiply + ***************************************/ +#define __imul_64x64_to_128(P, CX, CY) \ +{ \ +UINT64 SX, SY; \ + __mul_64x64_to_128(P, CX, CY); \ + \ + SX = ((SINT64)(CX))>>63; \ + SY = ((SINT64)(CY))>>63; \ + SX &= CY; SY &= CX; \ + \ + (P).w[1] = (P).w[1] - SX - SY; \ +} +/*************************************** + * Signed, Full 64x128-bit Multiply + ***************************************/ +#define __imul_64x128_full(Ph, Ql, A, B) \ +{ \ +UINT128 ALBL, ALBH, QM2, QM; \ + \ + __imul_64x64_to_128(ALBH, (A), (B).w[1]); \ + __imul_64x64_to_128(ALBL, (A), (B).w[0]); \ + \ + (Ql).w[0] = ALBL.w[0]; \ + QM.w[0] = ALBL.w[1]; \ + QM.w[1] = ((SINT64)ALBL.w[1])>>63; \ + __add_128_128(QM2, ALBH, QM); \ + (Ql).w[1] = QM2.w[0]; \ + Ph = QM2.w[1]; \ +} +/***************************************************** + * Unsigned Multiply Macros + *****************************************************/ +// get full 64x64bit product +// +#define __mul_64x64_to_128(P, CX, CY) \ +{ \ +UINT64 CXH, CXL, CYH,CYL,PL,PH,PM,PM2;\ + CXH = (CX) >> 32; \ + CXL = (UINT32)(CX); \ + CYH = (CY) >> 32; \ + CYL = (UINT32)(CY); \ + \ + PM = CXH*CYL; \ + PH = CXH*CYH; \ + PL = CXL*CYL; \ + PM2 = CXL*CYH; \ + PH += (PM>>32); \ + PM = (UINT64)((UINT32)PM)+PM2+(PL>>32); \ + \ + (P).w[1] = PH + (PM>>32); \ + (P).w[0] = (PM<<32)+(UINT32)PL; \ +} +// get full 64x64bit product +// Note: +// This macro is used for CX < 2^61, CY < 2^61 +// +#define __mul_64x64_to_128_fast(P, CX, CY) \ +{ \ +UINT64 CXH, CXL, CYH, CYL, PL, PH, PM; \ + CXH = (CX) >> 32; \ + CXL = (UINT32)(CX); \ + CYH = (CY) >> 32; \ + CYL = (UINT32)(CY); \ + \ + PM = CXH*CYL; \ + PL = CXL*CYL; \ + PH = CXH*CYH; \ + PM += CXL*CYH; \ + PM += (PL>>32); \ + \ + (P).w[1] = PH + (PM>>32); \ + (P).w[0] = (PM<<32)+(UINT32)PL; \ +} +// used for CX< 2^60 +#define __sqr64_fast(P, CX) \ +{ \ +UINT64 CXH, CXL, PL, PH, PM; \ + CXH = (CX) >> 32; \ + CXL = (UINT32)(CX); \ + \ + PM = CXH*CXL; \ + PL = CXL*CXL; \ + PH = CXH*CXH; \ + PM += PM; \ + PM += (PL>>32); \ + \ + (P).w[1] = PH + (PM>>32); \ + (P).w[0] = (PM<<32)+(UINT32)PL; \ +} +// get full 64x64bit product +// Note: +// This implementation is used for CX < 2^61, CY < 2^61 +// +#define __mul_64x64_to_64_high_fast(P, CX, CY) \ +{ \ +UINT64 CXH, CXL, CYH, CYL, PL, PH, PM; \ + CXH = (CX) >> 32; \ + CXL = (UINT32)(CX); \ + CYH = (CY) >> 32; \ + CYL = (UINT32)(CY); \ + \ + PM = CXH*CYL; \ + PL = CXL*CYL; \ + PH = CXH*CYH; \ + PM += CXL*CYH; \ + PM += (PL>>32); \ + \ + (P) = PH + (PM>>32); \ +} +// get full 64x64bit product +// +#define __mul_64x64_to_128_full(P, CX, CY) \ +{ \ +UINT64 CXH, CXL, CYH,CYL,PL,PH,PM,PM2;\ + CXH = (CX) >> 32; \ + CXL = (UINT32)(CX); \ + CYH = (CY) >> 32; \ + CYL = (UINT32)(CY); \ + \ + PM = CXH*CYL; \ + PH = CXH*CYH; \ + PL = CXL*CYL; \ + PM2 = CXL*CYH; \ + PH += (PM>>32); \ + PM = (UINT64)((UINT32)PM)+PM2+(PL>>32); \ + \ + (P).w[1] = PH + (PM>>32); \ + (P).w[0] = (PM<<32)+(UINT32)PL; \ +} +#define __mul_128x128_high(Q, A, B) \ +{ \ +UINT128 ALBL, ALBH, AHBL, AHBH, QM, QM2; \ + \ + __mul_64x64_to_128(ALBH, (A).w[0], (B).w[1]); \ + __mul_64x64_to_128(AHBL, (B).w[0], (A).w[1]); \ + __mul_64x64_to_128(ALBL, (A).w[0], (B).w[0]); \ + __mul_64x64_to_128(AHBH, (A).w[1],(B).w[1]); \ + \ + __add_128_128(QM, ALBH, AHBL); \ + __add_128_64(QM2, QM, ALBL.w[1]); \ + __add_128_64((Q), AHBH, QM2.w[1]); \ +} +#define __mul_128x128_full(Qh, Ql, A, B) \ +{ \ +UINT128 ALBL, ALBH, AHBL, AHBH, QM, QM2; \ + \ + __mul_64x64_to_128(ALBH, (A).w[0], (B).w[1]); \ + __mul_64x64_to_128(AHBL, (B).w[0], (A).w[1]); \ + __mul_64x64_to_128(ALBL, (A).w[0], (B).w[0]); \ + __mul_64x64_to_128(AHBH, (A).w[1],(B).w[1]); \ + \ + __add_128_128(QM, ALBH, AHBL); \ + (Ql).w[0] = ALBL.w[0]; \ + __add_128_64(QM2, QM, ALBL.w[1]); \ + __add_128_64((Qh), AHBH, QM2.w[1]); \ + (Ql).w[1] = QM2.w[0]; \ +} +#define __mul_128x128_low(Ql, A, B) \ +{ \ +UINT128 ALBL; \ +UINT64 QM64; \ + \ + __mul_64x64_to_128(ALBL, (A).w[0], (B).w[0]); \ + QM64 = (B).w[0]*(A).w[1] + (A).w[0]*(B).w[1]; \ + \ + (Ql).w[0] = ALBL.w[0]; \ + (Ql).w[1] = QM64 + ALBL.w[1]; \ +} +#define __mul_64x128_low(Ql, A, B) \ +{ \ + UINT128 ALBL, ALBH, QM2; \ + __mul_64x64_to_128(ALBH, (A), (B).w[1]); \ + __mul_64x64_to_128(ALBL, (A), (B).w[0]); \ + (Ql).w[0] = ALBL.w[0]; \ + __add_128_64(QM2, ALBH, ALBL.w[1]); \ + (Ql).w[1] = QM2.w[0]; \ +} +#define __mul_64x128_full(Ph, Ql, A, B) \ +{ \ +UINT128 ALBL, ALBH, QM2; \ + \ + __mul_64x64_to_128(ALBH, (A), (B).w[1]); \ + __mul_64x64_to_128(ALBL, (A), (B).w[0]); \ + \ + (Ql).w[0] = ALBL.w[0]; \ + __add_128_64(QM2, ALBH, ALBL.w[1]); \ + (Ql).w[1] = QM2.w[0]; \ + Ph = QM2.w[1]; \ +} +#define __mul_64x128_to_192(Q, A, B) \ +{ \ +UINT128 ALBL, ALBH, QM2; \ + \ + __mul_64x64_to_128(ALBH, (A), (B).w[1]); \ + __mul_64x64_to_128(ALBL, (A), (B).w[0]); \ + \ + (Q).w[0] = ALBL.w[0]; \ + __add_128_64(QM2, ALBH, ALBL.w[1]); \ + (Q).w[1] = QM2.w[0]; \ + (Q).w[2] = QM2.w[1]; \ +} +#define __mul_64x128_to192(Q, A, B) \ +{ \ +UINT128 ALBL, ALBH, QM2; \ + \ + __mul_64x64_to_128(ALBH, (A), (B).w[1]); \ + __mul_64x64_to_128(ALBL, (A), (B).w[0]); \ + \ + (Q).w[0] = ALBL.w[0]; \ + __add_128_64(QM2, ALBH, ALBL.w[1]); \ + (Q).w[1] = QM2.w[0]; \ + (Q).w[2] = QM2.w[1]; \ +} +#define __mul_128x128_to_256(P256, A, B) \ +{ \ +UINT128 Qll, Qlh; \ +UINT64 Phl, Phh, CY1, CY2; \ + \ + __mul_64x128_full(Phl, Qll, A.w[0], B); \ + __mul_64x128_full(Phh, Qlh, A.w[1], B); \ + (P256).w[0] = Qll.w[0]; \ + __add_carry_out((P256).w[1],CY1, Qlh.w[0], Qll.w[1]); \ + __add_carry_in_out((P256).w[2],CY2, Qlh.w[1], Phl, CY1); \ + (P256).w[3] = Phh + CY2; \ +} +// +// For better performance, will check A.w[1] against 0, +// but not B.w[1] +// Use this macro accordingly +#define __mul_128x128_to_256_check_A(P256, A, B) \ +{ \ +UINT128 Qll, Qlh; \ +UINT64 Phl, Phh, CY1, CY2; \ + \ + __mul_64x128_full(Phl, Qll, A.w[0], B); \ + (P256).w[0] = Qll.w[0]; \ + if(A.w[1]) { \ + __mul_64x128_full(Phh, Qlh, A.w[1], B); \ + __add_carry_out((P256).w[1],CY1, Qlh.w[0], Qll.w[1]); \ + __add_carry_in_out((P256).w[2],CY2, Qlh.w[1], Phl, CY1); \ + (P256).w[3] = Phh + CY2; } \ + else { \ + (P256).w[1] = Qll.w[1]; \ + (P256).w[2] = Phl; \ + (P256).w[3] = 0; } \ +} +#define __mul_64x192_to_256(lP, lA, lB) \ +{ \ +UINT128 lP0,lP1,lP2; \ +UINT64 lC; \ + __mul_64x64_to_128(lP0, lA, (lB).w[0]); \ + __mul_64x64_to_128(lP1, lA, (lB).w[1]); \ + __mul_64x64_to_128(lP2, lA, (lB).w[2]); \ + (lP).w[0] = lP0.w[0]; \ + __add_carry_out((lP).w[1],lC,lP1.w[0],lP0.w[1]); \ + __add_carry_in_out((lP).w[2],lC,lP2.w[0],lP1.w[1],lC); \ + (lP).w[3] = lP2.w[1] + lC; \ +} +#define __mul_64x256_to_320(P, A, B) \ +{ \ +UINT128 lP0,lP1,lP2,lP3; \ +UINT64 lC; \ + __mul_64x64_to_128(lP0, A, (B).w[0]); \ + __mul_64x64_to_128(lP1, A, (B).w[1]); \ + __mul_64x64_to_128(lP2, A, (B).w[2]); \ + __mul_64x64_to_128(lP3, A, (B).w[3]); \ + (P).w[0] = lP0.w[0]; \ + __add_carry_out((P).w[1],lC,lP1.w[0],lP0.w[1]); \ + __add_carry_in_out((P).w[2],lC,lP2.w[0],lP1.w[1],lC); \ + __add_carry_in_out((P).w[3],lC,lP3.w[0],lP2.w[1],lC); \ + (P).w[4] = lP3.w[1] + lC; \ +} +#define __mul_192x192_to_384(P, A, B) \ +{ \ +UINT256 P0,P1,P2; \ +UINT64 CY; \ + __mul_64x192_to_256(P0, (A).w[0], B); \ + __mul_64x192_to_256(P1, (A).w[1], B); \ + __mul_64x192_to_256(P2, (A).w[2], B); \ + (P).w[0] = P0.w[0]; \ + __add_carry_out((P).w[1],CY,P1.w[0],P0.w[1]); \ + __add_carry_in_out((P).w[2],CY,P1.w[1],P0.w[2],CY); \ + __add_carry_in_out((P).w[3],CY,P1.w[2],P0.w[3],CY); \ + (P).w[4] = P1.w[3] + CY; \ + __add_carry_out((P).w[2],CY,P2.w[0],(P).w[2]); \ + __add_carry_in_out((P).w[3],CY,P2.w[1],(P).w[3],CY); \ + __add_carry_in_out((P).w[4],CY,P2.w[2],(P).w[4],CY); \ + (P).w[5] = P2.w[3] + CY; \ +} +#define __mul_64x320_to_384(P, A, B) \ +{ \ +UINT128 lP0,lP1,lP2,lP3,lP4; \ +UINT64 lC; \ + __mul_64x64_to_128(lP0, A, (B).w[0]); \ + __mul_64x64_to_128(lP1, A, (B).w[1]); \ + __mul_64x64_to_128(lP2, A, (B).w[2]); \ + __mul_64x64_to_128(lP3, A, (B).w[3]); \ + __mul_64x64_to_128(lP4, A, (B).w[4]); \ + (P).w[0] = lP0.w[0]; \ + __add_carry_out((P).w[1],lC,lP1.w[0],lP0.w[1]); \ + __add_carry_in_out((P).w[2],lC,lP2.w[0],lP1.w[1],lC); \ + __add_carry_in_out((P).w[3],lC,lP3.w[0],lP2.w[1],lC); \ + __add_carry_in_out((P).w[4],lC,lP4.w[0],lP3.w[1],lC); \ + (P).w[5] = lP4.w[1] + lC; \ +} +// A*A +// Full 128x128-bit product +#define __sqr128_to_256(P256, A) \ +{ \ +UINT128 Qll, Qlh, Qhh; \ +UINT64 TMP_C1, TMP_C2; \ + \ + __mul_64x64_to_128(Qhh, A.w[1], A.w[1]); \ + __mul_64x64_to_128(Qlh, A.w[0], A.w[1]); \ + Qhh.w[1] += (Qlh.w[1]>>63); \ + Qlh.w[1] = (Qlh.w[1]+Qlh.w[1])|(Qlh.w[0]>>63); \ + Qlh.w[0] += Qlh.w[0]; \ + __mul_64x64_to_128(Qll, A.w[0], A.w[0]); \ + \ + __add_carry_out((P256).w[1],TMP_C1, Qlh.w[0], Qll.w[1]); \ + (P256).w[0] = Qll.w[0]; \ + __add_carry_in_out((P256).w[2],TMP_C2, Qlh.w[1], Qhh.w[0], TMP_C1); \ + (P256).w[3] = Qhh.w[1]+TMP_C2; \ +} +#define __mul_128x128_to_256_low_high(PQh, PQl, A, B) \ +{ \ +UINT128 Qll, Qlh; \ +UINT64 Phl, Phh, C1, C2; \ + \ + __mul_64x128_full(Phl, Qll, A.w[0], B); \ + __mul_64x128_full(Phh, Qlh, A.w[1], B); \ + (PQl).w[0] = Qll.w[0]; \ + __add_carry_out((PQl).w[1],C1, Qlh.w[0], Qll.w[1]); \ + __add_carry_in_out((PQh).w[0],C2, Qlh.w[1], Phl, C1); \ + (PQh).w[1] = Phh + C2; \ +} +#define __mul_256x256_to_512(P, A, B) \ +{ \ +UINT512 P0,P1,P2,P3; \ +UINT64 CY; \ + __mul_64x256_to_320(P0, (A).w[0], B); \ + __mul_64x256_to_320(P1, (A).w[1], B); \ + __mul_64x256_to_320(P2, (A).w[2], B); \ + __mul_64x256_to_320(P3, (A).w[3], B); \ + (P).w[0] = P0.w[0]; \ + __add_carry_out((P).w[1],CY,P1.w[0],P0.w[1]); \ + __add_carry_in_out((P).w[2],CY,P1.w[1],P0.w[2],CY); \ + __add_carry_in_out((P).w[3],CY,P1.w[2],P0.w[3],CY); \ + __add_carry_in_out((P).w[4],CY,P1.w[3],P0.w[4],CY); \ + (P).w[5] = P1.w[4] + CY; \ + __add_carry_out((P).w[2],CY,P2.w[0],(P).w[2]); \ + __add_carry_in_out((P).w[3],CY,P2.w[1],(P).w[3],CY); \ + __add_carry_in_out((P).w[4],CY,P2.w[2],(P).w[4],CY); \ + __add_carry_in_out((P).w[5],CY,P2.w[3],(P).w[5],CY); \ + (P).w[6] = P2.w[4] + CY; \ + __add_carry_out((P).w[3],CY,P3.w[0],(P).w[3]); \ + __add_carry_in_out((P).w[4],CY,P3.w[1],(P).w[4],CY); \ + __add_carry_in_out((P).w[5],CY,P3.w[2],(P).w[5],CY); \ + __add_carry_in_out((P).w[6],CY,P3.w[3],(P).w[6],CY); \ + (P).w[7] = P3.w[4] + CY; \ +} +#define __mul_192x256_to_448(P, A, B) \ +{ \ +UINT512 P0,P1,P2; \ +UINT64 CY; \ + __mul_64x256_to_320(P0, (A).w[0], B); \ + __mul_64x256_to_320(P1, (A).w[1], B); \ + __mul_64x256_to_320(P2, (A).w[2], B); \ + (P).w[0] = P0.w[0]; \ + __add_carry_out((P).w[1],CY,P1.w[0],P0.w[1]); \ + __add_carry_in_out((P).w[2],CY,P1.w[1],P0.w[2],CY); \ + __add_carry_in_out((P).w[3],CY,P1.w[2],P0.w[3],CY); \ + __add_carry_in_out((P).w[4],CY,P1.w[3],P0.w[4],CY); \ + (P).w[5] = P1.w[4] + CY; \ + __add_carry_out((P).w[2],CY,P2.w[0],(P).w[2]); \ + __add_carry_in_out((P).w[3],CY,P2.w[1],(P).w[3],CY); \ + __add_carry_in_out((P).w[4],CY,P2.w[2],(P).w[4],CY); \ + __add_carry_in_out((P).w[5],CY,P2.w[3],(P).w[5],CY); \ + (P).w[6] = P2.w[4] + CY; \ +} +#define __mul_320x320_to_640(P, A, B) \ +{ \ +UINT512 P0,P1,P2,P3; \ +UINT64 CY; \ + __mul_256x256_to_512((P), (A), B); \ + __mul_64x256_to_320(P1, (A).w[4], B); \ + __mul_64x256_to_320(P2, (B).w[4], A); \ + __mul_64x64_to_128(P3, (A).w[4], (B).w[4]); \ + __add_carry_out((P0).w[0],CY,P1.w[0],P2.w[0]); \ + __add_carry_in_out((P0).w[1],CY,P1.w[1],P2.w[1],CY); \ + __add_carry_in_out((P0).w[2],CY,P1.w[2],P2.w[2],CY); \ + __add_carry_in_out((P0).w[3],CY,P1.w[3],P2.w[3],CY); \ + __add_carry_in_out((P0).w[4],CY,P1.w[4],P2.w[4],CY); \ + P3.w[1] += CY; \ + __add_carry_out((P).w[4],CY,(P).w[4],P0.w[0]); \ + __add_carry_in_out((P).w[5],CY,(P).w[5],P0.w[1],CY); \ + __add_carry_in_out((P).w[6],CY,(P).w[6],P0.w[2],CY); \ + __add_carry_in_out((P).w[7],CY,(P).w[7],P0.w[3],CY); \ + __add_carry_in_out((P).w[8],CY,P3.w[0],P0.w[4],CY); \ + (P).w[9] = P3.w[1] + CY; \ +} +#define __mul_384x384_to_768(P, A, B) \ +{ \ +UINT512 P0,P1,P2,P3; \ +UINT64 CY; \ + __mul_320x320_to_640((P), (A), B); \ + __mul_64x320_to_384(P1, (A).w[5], B); \ + __mul_64x320_to_384(P2, (B).w[5], A); \ + __mul_64x64_to_128(P3, (A).w[5], (B).w[5]); \ + __add_carry_out((P0).w[0],CY,P1.w[0],P2.w[0]); \ + __add_carry_in_out((P0).w[1],CY,P1.w[1],P2.w[1],CY); \ + __add_carry_in_out((P0).w[2],CY,P1.w[2],P2.w[2],CY); \ + __add_carry_in_out((P0).w[3],CY,P1.w[3],P2.w[3],CY); \ + __add_carry_in_out((P0).w[4],CY,P1.w[4],P2.w[4],CY); \ + __add_carry_in_out((P0).w[5],CY,P1.w[5],P2.w[5],CY); \ + P3.w[1] += CY; \ + __add_carry_out((P).w[5],CY,(P).w[5],P0.w[0]); \ + __add_carry_in_out((P).w[6],CY,(P).w[6],P0.w[1],CY); \ + __add_carry_in_out((P).w[7],CY,(P).w[7],P0.w[2],CY); \ + __add_carry_in_out((P).w[8],CY,(P).w[8],P0.w[3],CY); \ + __add_carry_in_out((P).w[9],CY,(P).w[9],P0.w[4],CY); \ + __add_carry_in_out((P).w[10],CY,P3.w[0],P0.w[5],CY); \ + (P).w[11] = P3.w[1] + CY; \ +} +#define __mul_64x128_short(Ql, A, B) \ +{ \ +UINT64 ALBH_L; \ + \ + __mul_64x64_to_64(ALBH_L, (A),(B).w[1]); \ + __mul_64x64_to_128((Ql), (A), (B).w[0]); \ + \ + (Ql).w[1] += ALBH_L; \ +} +#define __scale128_10(D,_TMP) \ +{ \ +UINT128 _TMP2,_TMP8; \ + _TMP2.w[1] = (_TMP.w[1]<<1)|(_TMP.w[0]>>63); \ + _TMP2.w[0] = _TMP.w[0]<<1; \ + _TMP8.w[1] = (_TMP.w[1]<<3)|(_TMP.w[0]>>61); \ + _TMP8.w[0] = _TMP.w[0]<<3; \ + __add_128_128(D, _TMP2, _TMP8); \ +} +// 64x64-bit product +#define __mul_64x64_to_128MACH(P128, CX64, CY64) \ +{ \ + UINT64 CXH,CXL,CYH,CYL,PL,PH,PM,PM2; \ + CXH = (CX64) >> 32; \ + CXL = (UINT32)(CX64); \ + CYH = (CY64) >> 32; \ + CYL = (UINT32)(CY64); \ + PM = CXH*CYL; \ + PH = CXH*CYH; \ + PL = CXL*CYL; \ + PM2 = CXL*CYH; \ + PH += (PM>>32); \ + PM = (UINT64)((UINT32)PM)+PM2+(PL>>32); \ + (P128).w[1] = PH + (PM>>32); \ + (P128).w[0] = (PM<<32)+(UINT32)PL; \ +} +// 64x64-bit product +#define __mul_64x64_to_128HIGH(P64, CX64, CY64) \ +{ \ + UINT64 CXH,CXL,CYH,CYL,PL,PH,PM,PM2; \ + CXH = (CX64) >> 32; \ + CXL = (UINT32)(CX64); \ + CYH = (CY64) >> 32; \ + CYL = (UINT32)(CY64); \ + PM = CXH*CYL; \ + PH = CXH*CYH; \ + PL = CXL*CYL; \ + PM2 = CXL*CYH; \ + PH += (PM>>32); \ + PM = (UINT64)((UINT32)PM)+PM2+(PL>>32); \ + P64 = PH + (PM>>32); \ +} +#define __mul_128x64_to_128(Q128, A64, B128) \ +{ \ + UINT64 ALBH_L; \ + ALBH_L = (A64) * (B128).w[1]; \ + __mul_64x64_to_128MACH((Q128), (A64), (B128).w[0]); \ + (Q128).w[1] += ALBH_L; \ +} +// might simplify by calculating just QM2.w[0] +#define __mul_64x128_to_128(Ql, A, B) \ +{ \ + UINT128 ALBL, ALBH, QM2; \ + __mul_64x64_to_128(ALBH, (A), (B).w[1]); \ + __mul_64x64_to_128(ALBL, (A), (B).w[0]); \ + (Ql).w[0] = ALBL.w[0]; \ + __add_128_64(QM2, ALBH, ALBL.w[1]); \ + (Ql).w[1] = QM2.w[0]; \ +} +/********************************************************************* + * + * BID Pack/Unpack Macros + * + *********************************************************************/ +///////////////////////////////////////// +// BID64 definitions +//////////////////////////////////////// +#define DECIMAL_MAX_EXPON_64 767 +#define DECIMAL_EXPONENT_BIAS 398 +#define MAX_FORMAT_DIGITS 16 +///////////////////////////////////////// +// BID128 definitions +//////////////////////////////////////// +#define DECIMAL_MAX_EXPON_128 12287 +#define DECIMAL_EXPONENT_BIAS_128 6176 +#define MAX_FORMAT_DIGITS_128 34 +///////////////////////////////////////// +// BID32 definitions +//////////////////////////////////////// +#define DECIMAL_MAX_EXPON_32 191 +#define DECIMAL_EXPONENT_BIAS_32 101 +#define MAX_FORMAT_DIGITS_32 7 +//////////////////////////////////////// +// Constant Definitions +/////////////////////////////////////// +#define SPECIAL_ENCODING_MASK64 0x6000000000000000ull +#define INFINITY_MASK64 0x7800000000000000ull +#define SINFINITY_MASK64 0xf800000000000000ull +#define SSNAN_MASK64 0xfc00000000000000ull +#define NAN_MASK64 0x7c00000000000000ull +#define SNAN_MASK64 0x7e00000000000000ull +#define QUIET_MASK64 0xfdffffffffffffffull +#define LARGE_COEFF_MASK64 0x0007ffffffffffffull +#define LARGE_COEFF_HIGH_BIT64 0x0020000000000000ull +#define SMALL_COEFF_MASK64 0x001fffffffffffffull +#define EXPONENT_MASK64 0x3ff +#define EXPONENT_SHIFT_LARGE64 51 +#define EXPONENT_SHIFT_SMALL64 53 +#define LARGEST_BID64 0x77fb86f26fc0ffffull +#define SMALLEST_BID64 0xf7fb86f26fc0ffffull +#define SMALL_COEFF_MASK128 0x0001ffffffffffffull +#define LARGE_COEFF_MASK128 0x00007fffffffffffull +#define EXPONENT_MASK128 0x3fff +#define LARGEST_BID128_HIGH 0x5fffed09bead87c0ull +#define LARGEST_BID128_LOW 0x378d8e63ffffffffull +#define SPECIAL_ENCODING_MASK32 0x60000000ul +#define INFINITY_MASK32 0x78000000ul +#define LARGE_COEFF_MASK32 0x007ffffful +#define LARGE_COEFF_HIGH_BIT32 0x00800000ul +#define SMALL_COEFF_MASK32 0x001ffffful +#define EXPONENT_MASK32 0xff +#define LARGEST_BID32 0x77f8967f +#define NAN_MASK32 0x7c000000 +#define SNAN_MASK32 0x7e000000 +#define MASK_BINARY_EXPONENT 0x7ff0000000000000ull +#define BINARY_EXPONENT_BIAS 0x3ff +#define UPPER_EXPON_LIMIT 51 +// data needed for BID pack/unpack macros +extern UINT64 round_const_table[][19]; +extern UINT128 reciprocals10_128[]; +extern int recip_scale[]; +extern UINT128 power10_table_128[]; +extern int estimate_decimal_digits[]; +extern int estimate_bin_expon[]; +extern UINT64 power10_index_binexp[]; +extern int short_recip_scale[]; +extern UINT64 reciprocals10_64[]; +extern UINT128 power10_index_binexp_128[]; +extern UINT128 round_const_table_128[][36]; + + +////////////////////////////////////////////// +// Status Flag Handling +///////////////////////////////////////////// +#define __set_status_flags(fpsc, status) *(fpsc) |= status +#define is_inexact(fpsc) ((*(fpsc))&INEXACT_EXCEPTION) + +__BID_INLINE__ UINT64 +unpack_BID64 (UINT64 * psign_x, int *pexponent_x, + UINT64 * pcoefficient_x, UINT64 x) { + UINT64 tmp, coeff; + + *psign_x = x & 0x8000000000000000ull; + + if ((x & SPECIAL_ENCODING_MASK64) == SPECIAL_ENCODING_MASK64) { + // special encodings + // coefficient + coeff = (x & LARGE_COEFF_MASK64) | LARGE_COEFF_HIGH_BIT64; + + if ((x & INFINITY_MASK64) == INFINITY_MASK64) { + *pexponent_x = 0; + *pcoefficient_x = x & 0xfe03ffffffffffffull; + if ((x & 0x0003ffffffffffffull) >= 1000000000000000ull) + *pcoefficient_x = x & 0xfe00000000000000ull; + if ((x & NAN_MASK64) == INFINITY_MASK64) + *pcoefficient_x = x & SINFINITY_MASK64; + return 0; // NaN or Infinity + } + // check for non-canonical values + if (coeff >= 10000000000000000ull) + coeff = 0; + *pcoefficient_x = coeff; + // get exponent + tmp = x >> EXPONENT_SHIFT_LARGE64; + *pexponent_x = (int) (tmp & EXPONENT_MASK64); + return coeff; + } + // exponent + tmp = x >> EXPONENT_SHIFT_SMALL64; + *pexponent_x = (int) (tmp & EXPONENT_MASK64); + // coefficient + *pcoefficient_x = (x & SMALL_COEFF_MASK64); + + return *pcoefficient_x; +} + +// +// BID64 pack macro (general form) +// +__BID_INLINE__ UINT64 +get_BID64 (UINT64 sgn, int expon, UINT64 coeff, int rmode, + unsigned *fpsc) { + UINT128 Stemp, Q_low; + UINT64 QH, r, mask, C64, remainder_h, CY, carry; + int extra_digits, amount, amount2; + unsigned status; + + if (coeff > 9999999999999999ull) { + expon++; + coeff = 1000000000000000ull; + } + // check for possible underflow/overflow + if (((unsigned) expon) >= 3 * 256) { + if (expon < 0) { + // underflow + if (expon + MAX_FORMAT_DIGITS < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, + UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == ROUNDING_DOWN && sgn) + return 0x8000000000000001ull; + if (rmode == ROUNDING_UP && !sgn) + return 1ull; +#endif +#endif + // result is 0 + return sgn; + } +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (sgn && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#endif +#endif + // get digits to be shifted out + extra_digits = -expon; + coeff += round_const_table[rmode][extra_digits]; + + // get coeff*(2^M[extra_digits])/10^extra_digits + __mul_64x128_full (QH, Q_low, coeff, + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + + C64 = QH >> amount; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits is exactly .5 + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & QH; + + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + + if (is_inexact (fpsc)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else { + status = INEXACT_EXCEPTION; + // get remainder + remainder_h = QH << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Q_low.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Q_low.w[1], + reciprocals10_128[extra_digits].w[1], CY); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | status); + } + +#endif + + return sgn | C64; + } + while (coeff < 1000000000000000ull && expon >= 3 * 256) { + expon--; + coeff = (coeff << 3) + (coeff << 1); + } + if (expon > DECIMAL_MAX_EXPON_64) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif + // overflow + r = sgn | INFINITY_MASK64; + switch (rmode) { + case ROUNDING_DOWN: + if (!sgn) + r = LARGEST_BID64; + break; + case ROUNDING_TO_ZERO: + r = sgn | LARGEST_BID64; + break; + case ROUNDING_UP: + // round up + if (sgn) + r = SMALLEST_BID64; + } + return r; + } + } + + mask = 1; + mask <<= EXPONENT_SHIFT_SMALL64; + + // check whether coefficient fits in 10*5+3 bits + if (coeff < mask) { + r = expon; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (coeff | sgn); + return r; + } + // special format + + // eliminate the case coeff==10^16 after rounding + if (coeff == 10000000000000000ull) { + r = expon + 1; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (1000000000000000ull | sgn); + return r; + } + + r = expon; + r <<= EXPONENT_SHIFT_LARGE64; + r |= (sgn | SPECIAL_ENCODING_MASK64); + // add coeff, without leading bits + mask = (mask >> 2) - 1; + coeff &= mask; + r |= coeff; + + return r; +} + + + + +// +// No overflow/underflow checking +// +__BID_INLINE__ UINT64 +fast_get_BID64 (UINT64 sgn, int expon, UINT64 coeff) { + UINT64 r, mask; + + mask = 1; + mask <<= EXPONENT_SHIFT_SMALL64; + + // check whether coefficient fits in 10*5+3 bits + if (coeff < mask) { + r = expon; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (coeff | sgn); + return r; + } + // special format + + // eliminate the case coeff==10^16 after rounding + if (coeff == 10000000000000000ull) { + r = expon + 1; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (1000000000000000ull | sgn); + return r; + } + + r = expon; + r <<= EXPONENT_SHIFT_LARGE64; + r |= (sgn | SPECIAL_ENCODING_MASK64); + // add coeff, without leading bits + mask = (mask >> 2) - 1; + coeff &= mask; + r |= coeff; + + return r; +} + + +// +// no underflow checking +// +__BID_INLINE__ UINT64 +fast_get_BID64_check_OF (UINT64 sgn, int expon, UINT64 coeff, int rmode, + unsigned *fpsc) { + UINT64 r, mask; + + if (((unsigned) expon) >= 3 * 256 - 1) { + if ((expon == 3 * 256 - 1) && coeff == 10000000000000000ull) { + expon = 3 * 256; + coeff = 1000000000000000ull; + } + + if (((unsigned) expon) >= 3 * 256) { + while (coeff < 1000000000000000ull && expon >= 3 * 256) { + expon--; + coeff = (coeff << 3) + (coeff << 1); + } + if (expon > DECIMAL_MAX_EXPON_64) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, + OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif + // overflow + r = sgn | INFINITY_MASK64; + switch (rmode) { + case ROUNDING_DOWN: + if (!sgn) + r = LARGEST_BID64; + break; + case ROUNDING_TO_ZERO: + r = sgn | LARGEST_BID64; + break; + case ROUNDING_UP: + // round up + if (sgn) + r = SMALLEST_BID64; + } + return r; + } + } + } + + mask = 1; + mask <<= EXPONENT_SHIFT_SMALL64; + + // check whether coefficient fits in 10*5+3 bits + if (coeff < mask) { + r = expon; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (coeff | sgn); + return r; + } + // special format + + // eliminate the case coeff==10^16 after rounding + if (coeff == 10000000000000000ull) { + r = expon + 1; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (1000000000000000ull | sgn); + return r; + } + + r = expon; + r <<= EXPONENT_SHIFT_LARGE64; + r |= (sgn | SPECIAL_ENCODING_MASK64); + // add coeff, without leading bits + mask = (mask >> 2) - 1; + coeff &= mask; + r |= coeff; + + return r; +} + + +// +// No overflow/underflow checking +// or checking for coefficients equal to 10^16 (after rounding) +// +__BID_INLINE__ UINT64 +very_fast_get_BID64 (UINT64 sgn, int expon, UINT64 coeff) { + UINT64 r, mask; + + mask = 1; + mask <<= EXPONENT_SHIFT_SMALL64; + + // check whether coefficient fits in 10*5+3 bits + if (coeff < mask) { + r = expon; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (coeff | sgn); + return r; + } + // special format + r = expon; + r <<= EXPONENT_SHIFT_LARGE64; + r |= (sgn | SPECIAL_ENCODING_MASK64); + // add coeff, without leading bits + mask = (mask >> 2) - 1; + coeff &= mask; + r |= coeff; + + return r; +} + +// +// No overflow/underflow checking or checking for coefficients above 2^53 +// +__BID_INLINE__ UINT64 +very_fast_get_BID64_small_mantissa (UINT64 sgn, int expon, UINT64 coeff) { + // no UF/OF + UINT64 r; + + r = expon; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (coeff | sgn); + return r; +} + + +// +// This pack macro is used when underflow is known to occur +// +__BID_INLINE__ UINT64 +get_BID64_UF (UINT64 sgn, int expon, UINT64 coeff, UINT64 R, int rmode, + unsigned *fpsc) { + UINT128 C128, Q_low, Stemp; + UINT64 C64, remainder_h, QH, carry, CY; + int extra_digits, amount, amount2; + unsigned status; + + // underflow + if (expon + MAX_FORMAT_DIGITS < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == ROUNDING_DOWN && sgn) + return 0x8000000000000001ull; + if (rmode == ROUNDING_UP && !sgn) + return 1ull; +#endif +#endif + // result is 0 + return sgn; + } + // 10*coeff + coeff = (coeff << 3) + (coeff << 1); +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (sgn && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#endif +#endif + if (R) + coeff |= 1; + // get digits to be shifted out + extra_digits = 1 - expon; + C128.w[0] = coeff + round_const_table[rmode][extra_digits]; + + // get coeff*(2^M[extra_digits])/10^extra_digits + __mul_64x128_full (QH, Q_low, C128.w[0], + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + + C64 = QH >> amount; + //__shr_128(C128, Q_high, amount); + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits is exactly .5 + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & QH; + + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + + if (is_inexact (fpsc)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else { + status = INEXACT_EXCEPTION; + // get remainder + remainder_h = QH << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Q_low.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Q_low.w[1], + reciprocals10_128[extra_digits].w[1], CY); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | status); + } + +#endif + + return sgn | C64; + +} + + + +// +// This pack macro doesnot check for coefficients above 2^53 +// +__BID_INLINE__ UINT64 +get_BID64_small_mantissa (UINT64 sgn, int expon, UINT64 coeff, + int rmode, unsigned *fpsc) { + UINT128 C128, Q_low, Stemp; + UINT64 r, mask, C64, remainder_h, QH, carry, CY; + int extra_digits, amount, amount2; + unsigned status; + + // check for possible underflow/overflow + if (((unsigned) expon) >= 3 * 256) { + if (expon < 0) { + // underflow + if (expon + MAX_FORMAT_DIGITS < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, + UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == ROUNDING_DOWN && sgn) + return 0x8000000000000001ull; + if (rmode == ROUNDING_UP && !sgn) + return 1ull; +#endif +#endif + // result is 0 + return sgn; + } +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (sgn && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#endif +#endif + // get digits to be shifted out + extra_digits = -expon; + C128.w[0] = coeff + round_const_table[rmode][extra_digits]; + + // get coeff*(2^M[extra_digits])/10^extra_digits + __mul_64x128_full (QH, Q_low, C128.w[0], + reciprocals10_128[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = recip_scale[extra_digits]; + + C64 = QH >> amount; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits is exactly .5 + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & QH; + + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + + if (is_inexact (fpsc)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else { + status = INEXACT_EXCEPTION; + // get remainder + remainder_h = QH << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h + && (Q_low.w[1] < reciprocals10_128[extra_digits].w[1] + || (Q_low.w[1] == reciprocals10_128[extra_digits].w[1] + && Q_low.w[0] < + reciprocals10_128[extra_digits].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Q_low.w[0], + reciprocals10_128[extra_digits].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Q_low.w[1], + reciprocals10_128[extra_digits].w[1], CY); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | status); + } + +#endif + + return sgn | C64; + } + + while (coeff < 1000000000000000ull && expon >= 3 * 256) { + expon--; + coeff = (coeff << 3) + (coeff << 1); + } + if (expon > DECIMAL_MAX_EXPON_64) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif + // overflow + r = sgn | INFINITY_MASK64; + switch (rmode) { + case ROUNDING_DOWN: + if (!sgn) + r = LARGEST_BID64; + break; + case ROUNDING_TO_ZERO: + r = sgn | LARGEST_BID64; + break; + case ROUNDING_UP: + // round up + if (sgn) + r = SMALLEST_BID64; + } + return r; + } else { + mask = 1; + mask <<= EXPONENT_SHIFT_SMALL64; + if (coeff >= mask) { + r = expon; + r <<= EXPONENT_SHIFT_LARGE64; + r |= (sgn | SPECIAL_ENCODING_MASK64); + // add coeff, without leading bits + mask = (mask >> 2) - 1; + coeff &= mask; + r |= coeff; + return r; + } + } + } + + r = expon; + r <<= EXPONENT_SHIFT_SMALL64; + r |= (coeff | sgn); + + return r; +} + + +/***************************************************************************** +* +* BID128 pack/unpack macros +* +*****************************************************************************/ + +// +// Macro for handling BID128 underflow +// sticky bit given as additional argument +// +__BID_INLINE__ UINT128 * +handle_UF_128_rem (UINT128 * pres, UINT64 sgn, int expon, UINT128 CQ, + UINT64 R, unsigned *prounding_mode, unsigned *fpsc) { + UINT128 T128, TP128, Qh, Ql, Qh1, Stemp, Tmp, Tmp1, CQ2, CQ8; + UINT64 carry, CY; + int ed2, amount; + unsigned rmode, status; + + // UF occurs + if (expon + MAX_FORMAT_DIGITS_128 < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif + pres->w[1] = sgn; + pres->w[0] = 0; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if ((sgn && *prounding_mode == ROUNDING_DOWN) + || (!sgn && *prounding_mode == ROUNDING_UP)) + pres->w[0] = 1ull; +#endif +#endif + return pres; + } + // CQ *= 10 + CQ2.w[1] = (CQ.w[1] << 1) | (CQ.w[0] >> 63); + CQ2.w[0] = CQ.w[0] << 1; + CQ8.w[1] = (CQ.w[1] << 3) | (CQ.w[0] >> 61); + CQ8.w[0] = CQ.w[0] << 3; + __add_128_128 (CQ, CQ2, CQ8); + + // add remainder + if (R) + CQ.w[0] |= 1; + + ed2 = 1 - expon; + // add rounding constant to CQ +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = *prounding_mode; + if (sgn && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + T128 = round_const_table_128[rmode][ed2]; + __add_carry_out (CQ.w[0], carry, T128.w[0], CQ.w[0]); + CQ.w[1] = CQ.w[1] + T128.w[1] + carry; + + TP128 = reciprocals10_128[ed2]; + __mul_128x128_full (Qh, Ql, CQ, TP128); + amount = recip_scale[ed2]; + + if (amount >= 64) { + CQ.w[0] = Qh.w[1] >> (amount - 64); + CQ.w[1] = 0; + } else { + __shr_128 (CQ, Qh, amount); + } + + expon = 0; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (!(*prounding_mode)) +#endif + if (CQ.w[0] & 1) { + // check whether fractional part of initial_P/10^ed1 is exactly .5 + + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + if (!Qh1.w[1] && !Qh1.w[0] + && (Ql.w[1] < reciprocals10_128[ed2].w[1] + || (Ql.w[1] == reciprocals10_128[ed2].w[1] + && Ql.w[0] < reciprocals10_128[ed2].w[0]))) { + CQ.w[0]--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + + if (is_inexact (fpsc)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else { + status = INEXACT_EXCEPTION; + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (Qh1.w[1] == 0x8000000000000000ull && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[ed2].w[1] + || (Ql.w[1] == reciprocals10_128[ed2].w[1] + && Ql.w[0] < reciprocals10_128[ed2].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if ((!Qh1.w[1]) && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[ed2].w[1] + || (Ql.w[1] == reciprocals10_128[ed2].w[1] + && Ql.w[0] < reciprocals10_128[ed2].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Ql.w[0], + reciprocals10_128[ed2].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Ql.w[1], + reciprocals10_128[ed2].w[1], CY); + __shr_128_long (Qh, Qh1, (128 - amount)); + Tmp.w[0] = 1; + Tmp.w[1] = 0; + __shl_128_long (Tmp1, Tmp, amount); + Qh.w[0] += carry; + if (Qh.w[0] < carry) + Qh.w[1]++; + if (__unsigned_compare_ge_128 (Qh, Tmp1)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | status); + } + +#endif + + pres->w[1] = sgn | CQ.w[1]; + pres->w[0] = CQ.w[0]; + + return pres; + +} + + +// +// Macro for handling BID128 underflow +// +__BID_INLINE__ UINT128 * +handle_UF_128 (UINT128 * pres, UINT64 sgn, int expon, UINT128 CQ, + unsigned *prounding_mode, unsigned *fpsc) { + UINT128 T128, TP128, Qh, Ql, Qh1, Stemp, Tmp, Tmp1; + UINT64 carry, CY; + int ed2, amount; + unsigned rmode, status; + + // UF occurs + if (expon + MAX_FORMAT_DIGITS_128 < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif + pres->w[1] = sgn; + pres->w[0] = 0; +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if ((sgn && *prounding_mode == ROUNDING_DOWN) + || (!sgn && *prounding_mode == ROUNDING_UP)) + pres->w[0] = 1ull; +#endif +#endif + return pres; + } + + ed2 = 0 - expon; + // add rounding constant to CQ +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + rmode = *prounding_mode; + if (sgn && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#else + rmode = 0; +#endif +#else + rmode = 0; +#endif + + T128 = round_const_table_128[rmode][ed2]; + __add_carry_out (CQ.w[0], carry, T128.w[0], CQ.w[0]); + CQ.w[1] = CQ.w[1] + T128.w[1] + carry; + + TP128 = reciprocals10_128[ed2]; + __mul_128x128_full (Qh, Ql, CQ, TP128); + amount = recip_scale[ed2]; + + if (amount >= 64) { + CQ.w[0] = Qh.w[1] >> (amount - 64); + CQ.w[1] = 0; + } else { + __shr_128 (CQ, Qh, amount); + } + + expon = 0; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (!(*prounding_mode)) +#endif + if (CQ.w[0] & 1) { + // check whether fractional part of initial_P/10^ed1 is exactly .5 + + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + if (!Qh1.w[1] && !Qh1.w[0] + && (Ql.w[1] < reciprocals10_128[ed2].w[1] + || (Ql.w[1] == reciprocals10_128[ed2].w[1] + && Ql.w[0] < reciprocals10_128[ed2].w[0]))) { + CQ.w[0]--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + + if (is_inexact (fpsc)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else { + status = INEXACT_EXCEPTION; + // get remainder + __shl_128_long (Qh1, Qh, (128 - amount)); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (Qh1.w[1] == 0x8000000000000000ull && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[ed2].w[1] + || (Ql.w[1] == reciprocals10_128[ed2].w[1] + && Ql.w[0] < reciprocals10_128[ed2].w[0]))) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if ((!Qh1.w[1]) && (!Qh1.w[0]) + && (Ql.w[1] < reciprocals10_128[ed2].w[1] + || (Ql.w[1] == reciprocals10_128[ed2].w[1] + && Ql.w[0] < reciprocals10_128[ed2].w[0]))) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp.w[0], CY, Ql.w[0], + reciprocals10_128[ed2].w[0]); + __add_carry_in_out (Stemp.w[1], carry, Ql.w[1], + reciprocals10_128[ed2].w[1], CY); + __shr_128_long (Qh, Qh1, (128 - amount)); + Tmp.w[0] = 1; + Tmp.w[1] = 0; + __shl_128_long (Tmp1, Tmp, amount); + Qh.w[0] += carry; + if (Qh.w[0] < carry) + Qh.w[1]++; + if (__unsigned_compare_ge_128 (Qh, Tmp1)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | status); + } + +#endif + + pres->w[1] = sgn | CQ.w[1]; + pres->w[0] = CQ.w[0]; + + return pres; + +} + + + +// +// BID128 unpack, input passed by value +// +__BID_INLINE__ UINT64 +unpack_BID128_value (UINT64 * psign_x, int *pexponent_x, + UINT128 * pcoefficient_x, UINT128 x) { + UINT128 coeff, T33, T34; + UINT64 ex; + + *psign_x = (x.w[1]) & 0x8000000000000000ull; + + // special encodings + if ((x.w[1] & INFINITY_MASK64) >= SPECIAL_ENCODING_MASK64) { + if ((x.w[1] & INFINITY_MASK64) < INFINITY_MASK64) { + // non-canonical input + pcoefficient_x->w[0] = 0; + pcoefficient_x->w[1] = 0; + ex = (x.w[1]) >> 47; + *pexponent_x = ((int) ex) & EXPONENT_MASK128; + return 0; + } + // 10^33 + T33 = power10_table_128[33]; + /*coeff.w[0] = x.w[0]; + coeff.w[1] = (x.w[1]) & LARGE_COEFF_MASK128; + pcoefficient_x->w[0] = x.w[0]; + pcoefficient_x->w[1] = x.w[1]; + if (__unsigned_compare_ge_128 (coeff, T33)) // non-canonical + pcoefficient_x->w[1] &= (~LARGE_COEFF_MASK128); */ + + pcoefficient_x->w[0] = x.w[0]; + pcoefficient_x->w[1] = (x.w[1]) & 0x00003fffffffffffull; + if (__unsigned_compare_ge_128 ((*pcoefficient_x), T33)) // non-canonical + { + pcoefficient_x->w[1] = (x.w[1]) & 0xfe00000000000000ull; + pcoefficient_x->w[0] = 0; + } else + pcoefficient_x->w[1] = (x.w[1]) & 0xfe003fffffffffffull; + if ((x.w[1] & NAN_MASK64) == INFINITY_MASK64) { + pcoefficient_x->w[0] = 0; + pcoefficient_x->w[1] = x.w[1] & SINFINITY_MASK64; + } + *pexponent_x = 0; + return 0; // NaN or Infinity + } + + coeff.w[0] = x.w[0]; + coeff.w[1] = (x.w[1]) & SMALL_COEFF_MASK128; + + // 10^34 + T34 = power10_table_128[34]; + // check for non-canonical values + if (__unsigned_compare_ge_128 (coeff, T34)) + coeff.w[0] = coeff.w[1] = 0; + + pcoefficient_x->w[0] = coeff.w[0]; + pcoefficient_x->w[1] = coeff.w[1]; + + ex = (x.w[1]) >> 49; + *pexponent_x = ((int) ex) & EXPONENT_MASK128; + + return coeff.w[0] | coeff.w[1]; +} + + +// +// BID128 unpack, input pased by reference +// +__BID_INLINE__ UINT64 +unpack_BID128 (UINT64 * psign_x, int *pexponent_x, + UINT128 * pcoefficient_x, UINT128 * px) { + UINT128 coeff, T33, T34; + UINT64 ex; + + *psign_x = (px->w[1]) & 0x8000000000000000ull; + + // special encodings + if ((px->w[1] & INFINITY_MASK64) >= SPECIAL_ENCODING_MASK64) { + if ((px->w[1] & INFINITY_MASK64) < INFINITY_MASK64) { + // non-canonical input + pcoefficient_x->w[0] = 0; + pcoefficient_x->w[1] = 0; + ex = (px->w[1]) >> 47; + *pexponent_x = ((int) ex) & EXPONENT_MASK128; + return 0; + } + // 10^33 + T33 = power10_table_128[33]; + coeff.w[0] = px->w[0]; + coeff.w[1] = (px->w[1]) & LARGE_COEFF_MASK128; + pcoefficient_x->w[0] = px->w[0]; + pcoefficient_x->w[1] = px->w[1]; + if (__unsigned_compare_ge_128 (coeff, T33)) { // non-canonical + pcoefficient_x->w[1] &= (~LARGE_COEFF_MASK128); + pcoefficient_x->w[0] = 0; + } + *pexponent_x = 0; + return 0; // NaN or Infinity + } + + coeff.w[0] = px->w[0]; + coeff.w[1] = (px->w[1]) & SMALL_COEFF_MASK128; + + // 10^34 + T34 = power10_table_128[34]; + // check for non-canonical values + if (__unsigned_compare_ge_128 (coeff, T34)) + coeff.w[0] = coeff.w[1] = 0; + + pcoefficient_x->w[0] = coeff.w[0]; + pcoefficient_x->w[1] = coeff.w[1]; + + ex = (px->w[1]) >> 49; + *pexponent_x = ((int) ex) & EXPONENT_MASK128; + + return coeff.w[0] | coeff.w[1]; +} + +// +// Pack macro checks for overflow, but not underflow +// +__BID_INLINE__ UINT128 * +get_BID128_very_fast_OF (UINT128 * pres, UINT64 sgn, int expon, + UINT128 coeff, unsigned *prounding_mode, + unsigned *fpsc) { + UINT128 T; + UINT64 tmp, tmp2; + + if ((unsigned) expon > DECIMAL_MAX_EXPON_128) { + + if (expon - MAX_FORMAT_DIGITS_128 <= DECIMAL_MAX_EXPON_128) { + T = power10_table_128[MAX_FORMAT_DIGITS_128 - 1]; + while (__unsigned_compare_gt_128 (T, coeff) + && expon > DECIMAL_MAX_EXPON_128) { + coeff.w[1] = + (coeff.w[1] << 3) + (coeff.w[1] << 1) + (coeff.w[0] >> 61) + + (coeff.w[0] >> 63); + tmp2 = coeff.w[0] << 3; + coeff.w[0] = (coeff.w[0] << 1) + tmp2; + if (coeff.w[0] < tmp2) + coeff.w[1]++; + + expon--; + } + } + if ((unsigned) expon > DECIMAL_MAX_EXPON_128) { + // OF +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (*prounding_mode == ROUNDING_TO_ZERO + || (sgn && *prounding_mode == ROUNDING_UP) || (!sgn + && + *prounding_mode + == + ROUNDING_DOWN)) + { + pres->w[1] = sgn | LARGEST_BID128_HIGH; + pres->w[0] = LARGEST_BID128_LOW; + } else +#endif +#endif + { + pres->w[1] = sgn | INFINITY_MASK64; + pres->w[0] = 0; + } + return pres; + } + } + + pres->w[0] = coeff.w[0]; + tmp = expon; + tmp <<= 49; + pres->w[1] = sgn | tmp | coeff.w[1]; + + return pres; +} + + +// +// No overflow/underflow checks +// No checking for coefficient == 10^34 (rounding artifact) +// +__BID_INLINE__ UINT128 * +get_BID128_very_fast (UINT128 * pres, UINT64 sgn, int expon, + UINT128 coeff) { + UINT64 tmp; + + pres->w[0] = coeff.w[0]; + tmp = expon; + tmp <<= 49; + pres->w[1] = sgn | tmp | coeff.w[1]; + + return pres; +} + +// +// No overflow/underflow checks +// +__BID_INLINE__ UINT128 * +get_BID128_fast (UINT128 * pres, UINT64 sgn, int expon, UINT128 coeff) { + UINT64 tmp; + + // coeff==10^34? + if (coeff.w[1] == 0x0001ed09bead87c0ull + && coeff.w[0] == 0x378d8e6400000000ull) { + expon++; + // set coefficient to 10^33 + coeff.w[1] = 0x0000314dc6448d93ull; + coeff.w[0] = 0x38c15b0a00000000ull; + } + + pres->w[0] = coeff.w[0]; + tmp = expon; + tmp <<= 49; + pres->w[1] = sgn | tmp | coeff.w[1]; + + return pres; +} + +// +// General BID128 pack macro +// +__BID_INLINE__ UINT128 * +get_BID128 (UINT128 * pres, UINT64 sgn, int expon, UINT128 coeff, + unsigned *prounding_mode, unsigned *fpsc) { + UINT128 T; + UINT64 tmp, tmp2; + + // coeff==10^34? + if (coeff.w[1] == 0x0001ed09bead87c0ull + && coeff.w[0] == 0x378d8e6400000000ull) { + expon++; + // set coefficient to 10^33 + coeff.w[1] = 0x0000314dc6448d93ull; + coeff.w[0] = 0x38c15b0a00000000ull; + } + // check OF, UF + if (expon < 0 || expon > DECIMAL_MAX_EXPON_128) { + // check UF + if (expon < 0) { + return handle_UF_128 (pres, sgn, expon, coeff, prounding_mode, + fpsc); + } + + if (expon - MAX_FORMAT_DIGITS_128 <= DECIMAL_MAX_EXPON_128) { + T = power10_table_128[MAX_FORMAT_DIGITS_128 - 1]; + while (__unsigned_compare_gt_128 (T, coeff) + && expon > DECIMAL_MAX_EXPON_128) { + coeff.w[1] = + (coeff.w[1] << 3) + (coeff.w[1] << 1) + (coeff.w[0] >> 61) + + (coeff.w[0] >> 63); + tmp2 = coeff.w[0] << 3; + coeff.w[0] = (coeff.w[0] << 1) + tmp2; + if (coeff.w[0] < tmp2) + coeff.w[1]++; + + expon--; + } + } + if (expon > DECIMAL_MAX_EXPON_128) { + if (!(coeff.w[1] | coeff.w[0])) { + pres->w[1] = sgn | (((UINT64) DECIMAL_MAX_EXPON_128) << 49); + pres->w[0] = 0; + return pres; + } + // OF +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (*prounding_mode == ROUNDING_TO_ZERO + || (sgn && *prounding_mode == ROUNDING_UP) || (!sgn + && + *prounding_mode + == + ROUNDING_DOWN)) + { + pres->w[1] = sgn | LARGEST_BID128_HIGH; + pres->w[0] = LARGEST_BID128_LOW; + } else +#endif +#endif + { + pres->w[1] = sgn | INFINITY_MASK64; + pres->w[0] = 0; + } + return pres; + } + } + + pres->w[0] = coeff.w[0]; + tmp = expon; + tmp <<= 49; + pres->w[1] = sgn | tmp | coeff.w[1]; + + return pres; +} + + +// +// Macro used for conversions from string +// (no additional arguments given for rounding mode, status flags) +// +__BID_INLINE__ UINT128 * +get_BID128_string (UINT128 * pres, UINT64 sgn, int expon, UINT128 coeff) { + UINT128 D2, D8; + UINT64 tmp; + unsigned rmode = 0, status; + + // coeff==10^34? + if (coeff.w[1] == 0x0001ed09bead87c0ull + && coeff.w[0] == 0x378d8e6400000000ull) { + expon++; + // set coefficient to 10^33 + coeff.w[1] = 0x0000314dc6448d93ull; + coeff.w[0] = 0x38c15b0a00000000ull; + } + // check OF, UF + if ((unsigned) expon > DECIMAL_MAX_EXPON_128) { + // check UF + if (expon < 0) + return handle_UF_128 (pres, sgn, expon, coeff, &rmode, &status); + + // OF + + if (expon < DECIMAL_MAX_EXPON_128 + 34) { + while (expon > DECIMAL_MAX_EXPON_128 && + (coeff.w[1] < power10_table_128[33].w[1] || + (coeff.w[1] == power10_table_128[33].w[1] + && coeff.w[0] < power10_table_128[33].w[0]))) { + D2.w[1] = (coeff.w[1] << 1) | (coeff.w[0] >> 63); + D2.w[0] = coeff.w[0] << 1; + D8.w[1] = (coeff.w[1] << 3) | (coeff.w[0] >> 61); + D8.w[0] = coeff.w[0] << 3; + + __add_128_128 (coeff, D2, D8); + expon--; + } + } else if (!(coeff.w[0] | coeff.w[1])) + expon = DECIMAL_MAX_EXPON_128; + + if (expon > DECIMAL_MAX_EXPON_128) { + pres->w[1] = sgn | INFINITY_MASK64; + pres->w[0] = 0; + switch (rmode) { + case ROUNDING_DOWN: + if (!sgn) { + pres->w[1] = LARGEST_BID128_HIGH; + pres->w[0] = LARGEST_BID128_LOW; + } + break; + case ROUNDING_TO_ZERO: + pres->w[1] = sgn | LARGEST_BID128_HIGH; + pres->w[0] = LARGEST_BID128_LOW; + break; + case ROUNDING_UP: + // round up + if (sgn) { + pres->w[1] = sgn | LARGEST_BID128_HIGH; + pres->w[0] = LARGEST_BID128_LOW; + } + break; + } + + return pres; + } + } + + pres->w[0] = coeff.w[0]; + tmp = expon; + tmp <<= 49; + pres->w[1] = sgn | tmp | coeff.w[1]; + + return pres; +} + + + +/***************************************************************************** +* +* BID32 pack/unpack macros +* +*****************************************************************************/ + + +__BID_INLINE__ UINT32 +unpack_BID32 (UINT32 * psign_x, int *pexponent_x, + UINT32 * pcoefficient_x, UINT32 x) { + UINT32 tmp; + + *psign_x = x & 0x80000000; + + if ((x & SPECIAL_ENCODING_MASK32) == SPECIAL_ENCODING_MASK32) { + // special encodings + if ((x & INFINITY_MASK32) == INFINITY_MASK32) { + *pcoefficient_x = x & 0xfe0fffff; + if ((x & 0x000fffff) >= 1000000) + *pcoefficient_x = x & 0xfe000000; + if ((x & NAN_MASK32) == INFINITY_MASK32) + *pcoefficient_x = x & 0xf8000000; + *pexponent_x = 0; + return 0; // NaN or Infinity + } + // coefficient + *pcoefficient_x = (x & SMALL_COEFF_MASK32) | LARGE_COEFF_HIGH_BIT32; + // check for non-canonical value + if (*pcoefficient_x >= 10000000) + *pcoefficient_x = 0; + // get exponent + tmp = x >> 21; + *pexponent_x = tmp & EXPONENT_MASK32; + return 1; + } + // exponent + tmp = x >> 23; + *pexponent_x = tmp & EXPONENT_MASK32; + // coefficient + *pcoefficient_x = (x & LARGE_COEFF_MASK32); + + return *pcoefficient_x; +} + +// +// General pack macro for BID32 +// +__BID_INLINE__ UINT32 +get_BID32 (UINT32 sgn, int expon, UINT64 coeff, int rmode, + unsigned *fpsc) { + UINT128 Q; + UINT64 C64, remainder_h, carry, Stemp; + UINT32 r, mask; + int extra_digits, amount, amount2; + unsigned status; + + if (coeff > 9999999ull) { + expon++; + coeff = 1000000ull; + } + // check for possible underflow/overflow + if (((unsigned) expon) > DECIMAL_MAX_EXPON_32) { + if (expon < 0) { + // underflow + if (expon + MAX_FORMAT_DIGITS_32 < 0) { +#ifdef SET_STATUS_FLAGS + __set_status_flags (fpsc, + UNDERFLOW_EXCEPTION | INEXACT_EXCEPTION); +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == ROUNDING_DOWN && sgn) + return 0x80000001; + if (rmode == ROUNDING_UP && !sgn) + return 1; +#endif +#endif + // result is 0 + return sgn; + } + // get digits to be shifted out +#ifdef IEEE_ROUND_NEAREST_TIES_AWAY + rmode = 0; +#endif +#ifdef IEEE_ROUND_NEAREST + rmode = 0; +#endif +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (sgn && (unsigned) (rmode - 1) < 2) + rmode = 3 - rmode; +#endif +#endif + + extra_digits = -expon; + coeff += round_const_table[rmode][extra_digits]; + + // get coeff*(2^M[extra_digits])/10^extra_digits + __mul_64x64_to_128 (Q, coeff, reciprocals10_64[extra_digits]); + + // now get P/10^extra_digits: shift Q_high right by M[extra_digits]-128 + amount = short_recip_scale[extra_digits]; + + C64 = Q.w[1] >> amount; + +#ifndef IEEE_ROUND_NEAREST_TIES_AWAY +#ifndef IEEE_ROUND_NEAREST + if (rmode == 0) //ROUNDING_TO_NEAREST +#endif + if (C64 & 1) { + // check whether fractional part of initial_P/10^extra_digits is exactly .5 + + // get remainder + amount2 = 64 - amount; + remainder_h = 0; + remainder_h--; + remainder_h >>= amount2; + remainder_h = remainder_h & Q.w[1]; + + if (!remainder_h && (Q.w[0] < reciprocals10_64[extra_digits])) { + C64--; + } + } +#endif + +#ifdef SET_STATUS_FLAGS + + if (is_inexact (fpsc)) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION); + else { + status = INEXACT_EXCEPTION; + // get remainder + remainder_h = Q.w[1] << (64 - amount); + + switch (rmode) { + case ROUNDING_TO_NEAREST: + case ROUNDING_TIES_AWAY: + // test whether fractional part is 0 + if (remainder_h == 0x8000000000000000ull + && (Q.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + case ROUNDING_DOWN: + case ROUNDING_TO_ZERO: + if (!remainder_h && (Q.w[0] < reciprocals10_64[extra_digits])) + status = EXACT_STATUS; + break; + default: + // round up + __add_carry_out (Stemp, carry, Q.w[0], + reciprocals10_64[extra_digits]); + if ((remainder_h >> (64 - amount)) + carry >= + (((UINT64) 1) << amount)) + status = EXACT_STATUS; + } + + if (status != EXACT_STATUS) + __set_status_flags (fpsc, UNDERFLOW_EXCEPTION | status); + } + +#endif + + return sgn | (UINT32) C64; + } + + while (coeff < 1000000 && expon > DECIMAL_MAX_EXPON_32) { + coeff = (coeff << 3) + (coeff << 1); + expon--; + } + if (((unsigned) expon) > DECIMAL_MAX_EXPON_32) { + __set_status_flags (fpsc, OVERFLOW_EXCEPTION | INEXACT_EXCEPTION); + // overflow + r = sgn | INFINITY_MASK32; + switch (rmode) { + case ROUNDING_DOWN: + if (!sgn) + r = LARGEST_BID32; + break; + case ROUNDING_TO_ZERO: + r = sgn | LARGEST_BID32; + break; + case ROUNDING_UP: + // round up + if (sgn) + r = sgn | LARGEST_BID32; + } + return r; + } + } + + mask = 1 << 23; + + // check whether coefficient fits in DECIMAL_COEFF_FIT bits + if (coeff < mask) { + r = expon; + r <<= 23; + r |= ((UINT32) coeff | sgn); + return r; + } + // special format + + r = expon; + r <<= 21; + r |= (sgn | SPECIAL_ENCODING_MASK32); + // add coeff, without leading bits + mask = (1 << 21) - 1; + r |= (((UINT32) coeff) & mask); + + return r; +} + + + +// +// no overflow/underflow checks +// +__BID_INLINE__ UINT32 +very_fast_get_BID32 (UINT32 sgn, int expon, UINT32 coeff) { + UINT32 r, mask; + + mask = 1 << 23; + + // check whether coefficient fits in 10*2+3 bits + if (coeff < mask) { + r = expon; + r <<= 23; + r |= (coeff | sgn); + return r; + } + // special format + r = expon; + r <<= 21; + r |= (sgn | SPECIAL_ENCODING_MASK32); + // add coeff, without leading bits + mask = (1 << 21) - 1; + coeff &= mask; + r |= coeff; + + return r; +} + + + +/************************************************************* + * + *************************************************************/ +typedef +ALIGN (16) + struct { + UINT64 w[6]; + } UINT384; + typedef ALIGN (16) + struct { + UINT64 w[8]; + } UINT512; + +// #define P 34 +#define MASK_STEERING_BITS 0x6000000000000000ull +#define MASK_BINARY_EXPONENT1 0x7fe0000000000000ull +#define MASK_BINARY_SIG1 0x001fffffffffffffull +#define MASK_BINARY_EXPONENT2 0x1ff8000000000000ull + //used to take G[2:w+3] (sec 3.3) +#define MASK_BINARY_SIG2 0x0007ffffffffffffull + //used to mask out G4:T0 (sec 3.3) +#define MASK_BINARY_OR2 0x0020000000000000ull + //used to prefix 8+G4 to T (sec 3.3) +#define UPPER_EXPON_LIMIT 51 +#define MASK_EXP 0x7ffe000000000000ull +#define MASK_SPECIAL 0x7800000000000000ull +#define MASK_NAN 0x7c00000000000000ull +#define MASK_SNAN 0x7e00000000000000ull +#define MASK_ANY_INF 0x7c00000000000000ull +#define MASK_INF 0x7800000000000000ull +#define MASK_SIGN 0x8000000000000000ull +#define MASK_COEFF 0x0001ffffffffffffull +#define BIN_EXP_BIAS (0x1820ull << 49) + +#define EXP_MIN 0x0000000000000000ull + // EXP_MIN = (-6176 + 6176) << 49 +#define EXP_MAX 0x5ffe000000000000ull + // EXP_MAX = (6111 + 6176) << 49 +#define EXP_MAX_P1 0x6000000000000000ull + // EXP_MAX + 1 = (6111 + 6176 + 1) << 49 +#define EXP_P1 0x0002000000000000ull + // EXP_ P1= 1 << 49 +#define expmin -6176 + // min unbiased exponent +#define expmax 6111 + // max unbiased exponent +#define expmin16 -398 + // min unbiased exponent +#define expmax16 369 + // max unbiased exponent + +#define SIGNMASK32 0x80000000 +#define BID64_SIG_MAX 0x002386F26FC0ffffull +#define SIGNMASK64 0x8000000000000000ull + +// typedef unsigned int FPSC; // floating-point status and control + // bit31: + // bit30: + // bit29: + // bit28: + // bit27: + // bit26: + // bit25: + // bit24: + // bit23: + // bit22: + // bit21: + // bit20: + // bit19: + // bit18: + // bit17: + // bit16: + // bit15: + // bit14: RC:2 + // bit13: RC:1 + // bit12: RC:0 + // bit11: PM + // bit10: UM + // bit9: OM + // bit8: ZM + // bit7: DM + // bit6: IM + // bit5: PE + // bit4: UE + // bit3: OE + // bit2: ZE + // bit1: DE + // bit0: IE + +#define ROUNDING_MODE_MASK 0x00007000 + + typedef struct _DEC_DIGITS { + unsigned int digits; + UINT64 threshold_hi; + UINT64 threshold_lo; + unsigned int digits1; + } DEC_DIGITS; + + extern DEC_DIGITS nr_digits[]; + extern UINT64 midpoint64[]; + extern UINT128 midpoint128[]; + extern UINT192 midpoint192[]; + extern UINT256 midpoint256[]; + extern UINT64 ten2k64[]; + extern UINT128 ten2k128[]; + extern UINT256 ten2k256[]; + extern UINT128 ten2mk128[]; + extern UINT64 ten2mk64[]; + extern UINT128 ten2mk128trunc[]; + extern int shiftright128[]; + extern UINT64 maskhigh128[]; + extern UINT64 maskhigh128M[]; + extern UINT64 maskhigh192M[]; + extern UINT64 maskhigh256M[]; + extern UINT64 onehalf128[]; + extern UINT64 onehalf128M[]; + extern UINT64 onehalf192M[]; + extern UINT64 onehalf256M[]; + extern UINT128 ten2mk128M[]; + extern UINT128 ten2mk128truncM[]; + extern UINT192 ten2mk192truncM[]; + extern UINT256 ten2mk256truncM[]; + extern int shiftright128M[]; + extern int shiftright192M[]; + extern int shiftright256M[]; + extern UINT192 ten2mk192M[]; + extern UINT256 ten2mk256M[]; + extern unsigned char char_table2[]; + extern unsigned char char_table3[]; + + extern UINT64 ten2m3k64[]; + extern unsigned int shift_ten2m3k64[]; + extern UINT128 ten2m3k128[]; + extern unsigned int shift_ten2m3k128[]; + + + +/*************************************************************************** + *************** TABLES FOR GENERAL ROUNDING FUNCTIONS ********************* + ***************************************************************************/ + + extern UINT64 Kx64[]; + extern unsigned int Ex64m64[]; + extern UINT64 half64[]; + extern UINT64 mask64[]; + extern UINT64 ten2mxtrunc64[]; + + extern UINT128 Kx128[]; + extern unsigned int Ex128m128[]; + extern UINT64 half128[]; + extern UINT64 mask128[]; + extern UINT128 ten2mxtrunc128[]; + + extern UINT192 Kx192[]; + extern unsigned int Ex192m192[]; + extern UINT64 half192[]; + extern UINT64 mask192[]; + extern UINT192 ten2mxtrunc192[]; + + extern UINT256 Kx256[]; + extern unsigned int Ex256m256[]; + extern UINT64 half256[]; + extern UINT64 mask256[]; + extern UINT256 ten2mxtrunc256[]; + + typedef union __bid64_128 { + UINT64 b64; + UINT128 b128; + } BID64_128; + + BID64_128 bid_fma (unsigned int P0, + BID64_128 x1, unsigned int P1, + BID64_128 y1, unsigned int P2, + BID64_128 z1, unsigned int P3, + unsigned int rnd_mode, FPSC * fpsc); + +#define P16 16 +#define P34 34 + + union __int_double { + UINT64 i; + double d; + }; + typedef union __int_double int_double; + + + union __int_float { + UINT32 i; + float d; + }; + typedef union __int_float int_float; + +#define SWAP(A,B,T) {\ + T = A; \ + A = B; \ + B = T; \ +} + +// this macro will find coefficient_x to be in [2^A, 2^(A+1) ) +// ie it knows that it is A bits long +#define NUMBITS(A, coefficient_x, tempx){\ + temp_x.d=(float)coefficient_x;\ + A=((tempx.i >>23) & EXPONENT_MASK32) - 0x7f;\ +} + + enum class_types { + signalingNaN, + quietNaN, + negativeInfinity, + negativeNormal, + negativeSubnormal, + negativeZero, + positiveZero, + positiveSubnormal, + positiveNormal, + positiveInfinity + }; + + typedef union { + UINT64 ui64; + double d; + } BID_UI64DOUBLE; + +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_round.c b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_round.c new file mode 100644 index 0000000000..0e11cdc2a1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_round.c @@ -0,0 +1,1049 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/***************************************************************************** + * + * BID64 encoding: + * **************************************** + * 63 62 53 52 0 + * |---|------------------|--------------| + * | S | Biased Exp (E) | Coeff (c) | + * |---|------------------|--------------| + * + * bias = 398 + * number = (-1)^s * 10^(E-398) * c + * coefficient range - 0 to (2^53)-1 + * COEFF_MAX = 2^53-1 = 9007199254740991 + * + ***************************************************************************** + * + * BID128 encoding: + * 1-bit sign + * 14-bit biased exponent in [0x21, 0x3020] = [33, 12320] + * unbiased exponent in [-6176, 6111]; exponent bias = 6176 + * 113-bit unsigned binary integer coefficient (49-bit high + 64-bit low) + * Note: 10^34-1 ~ 2^112.945555... < 2^113 => coefficient fits in 113 bits + * + * Note: assume invalid encodings are not passed to this function + * + * Round a number C with q decimal digits, represented as a binary integer + * to q - x digits. Six different routines are provided for different values + * of q. The maximum value of q used in the library is q = 3 * P - 1 where + * P = 16 or P = 34 (so q <= 111 decimal digits). + * The partitioning is based on the following, where Kx is the scaled + * integer representing the value of 10^(-x) rounded up to a number of bits + * sufficient to ensure correct rounding: + * + * -------------------------------------------------------------------------- + * q x max. value of a max number min. number + * of bits in C of bits in Kx + * -------------------------------------------------------------------------- + * + * GROUP 1: 64 bits + * round64_2_18 () + * + * 2 [1,1] 10^1 - 1 < 2^3.33 4 4 + * ... ... ... ... ... + * 18 [1,17] 10^18 - 1 < 2^59.80 60 61 + * + * GROUP 2: 128 bits + * round128_19_38 () + * + * 19 [1,18] 10^19 - 1 < 2^63.11 64 65 + * 20 [1,19] 10^20 - 1 < 2^66.44 67 68 + * ... ... ... ... ... + * 38 [1,37] 10^38 - 1 < 2^126.24 127 128 + * + * GROUP 3: 192 bits + * round192_39_57 () + * + * 39 [1,38] 10^39 - 1 < 2^129.56 130 131 + * ... ... ... ... ... + * 57 [1,56] 10^57 - 1 < 2^189.35 190 191 + * + * GROUP 4: 256 bits + * round256_58_76 () + * + * 58 [1,57] 10^58 - 1 < 2^192.68 193 194 + * ... ... ... ... ... + * 76 [1,75] 10^76 - 1 < 2^252.47 253 254 + * + * GROUP 5: 320 bits + * round320_77_96 () + * + * 77 [1,76] 10^77 - 1 < 2^255.79 256 257 + * 78 [1,77] 10^78 - 1 < 2^259.12 260 261 + * ... ... ... ... ... + * 96 [1,95] 10^96 - 1 < 2^318.91 319 320 + * + * GROUP 6: 384 bits + * round384_97_115 () + * + * 97 [1,96] 10^97 - 1 < 2^322.23 323 324 + * ... ... ... ... ... + * 115 [1,114] 10^115 - 1 < 2^382.03 383 384 + * + ****************************************************************************/ + +#include "bid_internal.h" + +void +round64_2_18 (int q, + int x, + UINT64 C, + UINT64 * ptr_Cstar, + int *incr_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint) { + + UINT128 P128; + UINT128 fstar; + UINT64 Cstar; + UINT64 tmp64; + int shift; + int ind; + + // Note: + // In round128_2_18() positive numbers with 2 <= q <= 18 will be + // rounded to nearest only for 1 <= x <= 3: + // x = 1 or x = 2 when q = 17 + // x = 2 or x = 3 when q = 18 + // However, for generality and possible uses outside the frame of IEEE 754R + // this implementation works for 1 <= x <= q - 1 + + // assume *ptr_is_midpoint_lt_even, *ptr_is_midpoint_gt_even, + // *ptr_is_inexact_lt_midpoint, and *ptr_is_inexact_gt_midpoint are + // initialized to 0 by the caller + + // round a number C with q decimal digits, 2 <= q <= 18 + // to q - x digits, 1 <= x <= 17 + // C = C + 1/2 * 10^x where the result C fits in 64 bits + // (because the largest value is 999999999999999999 + 50000000000000000 = + // 0x0e92596fd628ffff, which fits in 60 bits) + ind = x - 1; // 0 <= ind <= 16 + C = C + midpoint64[ind]; + // kx ~= 10^(-x), kx = Kx64[ind] * 2^(-Ex), 0 <= ind <= 16 + // P128 = (C + 1/2 * 10^x) * kx * 2^Ex = (C + 1/2 * 10^x) * Kx + // the approximation kx of 10^(-x) was rounded up to 64 bits + __mul_64x64_to_128MACH (P128, C, Kx64[ind]); + // calculate C* = floor (P128) and f* + // Cstar = P128 >> Ex + // fstar = low Ex bits of P128 + shift = Ex64m64[ind]; // in [3, 56] + Cstar = P128.w[1] >> shift; + fstar.w[1] = P128.w[1] & mask64[ind]; + fstar.w[0] = P128.w[0]; + // the top Ex bits of 10^(-x) are T* = ten2mxtrunc64[ind], e.g. + // if x=1, T*=ten2mxtrunc64[0]=0xcccccccccccccccc + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has q - x decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has q - x decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has q - x decimal digits, + // correct by Property 1) + // in the caling function n = C* * 10^(e+x) + + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (fstar.w[1] > half64[ind] || + (fstar.w[1] == half64[ind] && fstar.w[0])) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[1] - half64[ind]; + if (tmp64 || fstar.w[0] > ten2mxtrunc64[ind]) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + // check for midpoints (could do this before determining inexactness) + if (fstar.w[1] == 0 && fstar.w[0] <= ten2mxtrunc64[ind]) { + // the result is a midpoint + if (Cstar & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result may be 0 + Cstar--; // Cstar is now even + *ptr_is_midpoint_gt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + *ptr_is_midpoint_lt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } + } + // check for rounding overflow, which occurs if Cstar = 10^(q-x) + ind = q - x; // 1 <= ind <= q - 1 + if (Cstar == ten2k64[ind]) { // if Cstar = 10^(q-x) + Cstar = ten2k64[ind - 1]; // Cstar = 10^(q-x-1) + *incr_exp = 1; + } else { // 10^33 <= Cstar <= 10^34 - 1 + *incr_exp = 0; + } + *ptr_Cstar = Cstar; +} + + +void +round128_19_38 (int q, + int x, + UINT128 C, + UINT128 * ptr_Cstar, + int *incr_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint) { + + UINT256 P256; + UINT256 fstar; + UINT128 Cstar; + UINT64 tmp64; + int shift; + int ind; + + // Note: + // In round128_19_38() positive numbers with 19 <= q <= 38 will be + // rounded to nearest only for 1 <= x <= 23: + // x = 3 or x = 4 when q = 19 + // x = 4 or x = 5 when q = 20 + // ... + // x = 18 or x = 19 when q = 34 + // x = 1 or x = 2 or x = 19 or x = 20 when q = 35 + // x = 2 or x = 3 or x = 20 or x = 21 when q = 36 + // x = 3 or x = 4 or x = 21 or x = 22 when q = 37 + // x = 4 or x = 5 or x = 22 or x = 23 when q = 38 + // However, for generality and possible uses outside the frame of IEEE 754R + // this implementation works for 1 <= x <= q - 1 + + // assume *ptr_is_midpoint_lt_even, *ptr_is_midpoint_gt_even, + // *ptr_is_inexact_lt_midpoint, and *ptr_is_inexact_gt_midpoint are + // initialized to 0 by the caller + + // round a number C with q decimal digits, 19 <= q <= 38 + // to q - x digits, 1 <= x <= 37 + // C = C + 1/2 * 10^x where the result C fits in 128 bits + // (because the largest value is 99999999999999999999999999999999999999 + + // 5000000000000000000000000000000000000 = + // 0x4efe43b0c573e7e68a043d8fffffffff, which fits is 127 bits) + + ind = x - 1; // 0 <= ind <= 36 + if (ind <= 18) { // if 0 <= ind <= 18 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint64[ind]; + if (C.w[0] < tmp64) + C.w[1]++; + } else { // if 19 <= ind <= 37 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint128[ind - 19].w[0]; + if (C.w[0] < tmp64) { + C.w[1]++; + } + C.w[1] = C.w[1] + midpoint128[ind - 19].w[1]; + } + // kx ~= 10^(-x), kx = Kx128[ind] * 2^(-Ex), 0 <= ind <= 36 + // P256 = (C + 1/2 * 10^x) * kx * 2^Ex = (C + 1/2 * 10^x) * Kx + // the approximation kx of 10^(-x) was rounded up to 128 bits + __mul_128x128_to_256 (P256, C, Kx128[ind]); + // calculate C* = floor (P256) and f* + // Cstar = P256 >> Ex + // fstar = low Ex bits of P256 + shift = Ex128m128[ind]; // in [2, 63] but have to consider two cases + if (ind <= 18) { // if 0 <= ind <= 18 + Cstar.w[0] = (P256.w[2] >> shift) | (P256.w[3] << (64 - shift)); + Cstar.w[1] = (P256.w[3] >> shift); + fstar.w[0] = P256.w[0]; + fstar.w[1] = P256.w[1]; + fstar.w[2] = P256.w[2] & mask128[ind]; + fstar.w[3] = 0x0ULL; + } else { // if 19 <= ind <= 37 + Cstar.w[0] = P256.w[3] >> shift; + Cstar.w[1] = 0x0ULL; + fstar.w[0] = P256.w[0]; + fstar.w[1] = P256.w[1]; + fstar.w[2] = P256.w[2]; + fstar.w[3] = P256.w[3] & mask128[ind]; + } + // the top Ex bits of 10^(-x) are T* = ten2mxtrunc64[ind], e.g. + // if x=1, T*=ten2mxtrunc128[0]=0xcccccccccccccccccccccccccccccccc + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has q - x decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has q - x decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has q - x decimal digits, + // correct by Property 1) + // in the caling function n = C* * 10^(e+x) + + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind <= 18) { // if 0 <= ind <= 18 + if (fstar.w[2] > half128[ind] || + (fstar.w[2] == half128[ind] && (fstar.w[1] || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[2] - half128[ind]; + if (tmp64 || fstar.w[1] > ten2mxtrunc128[ind].w[1] || (fstar.w[1] == ten2mxtrunc128[ind].w[1] && fstar.w[0] > ten2mxtrunc128[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } else { // if 19 <= ind <= 37 + if (fstar.w[3] > half128[ind] || (fstar.w[3] == half128[ind] && + (fstar.w[2] || fstar.w[1] + || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[3] - half128[ind]; + if (tmp64 || fstar.w[2] || fstar.w[1] > ten2mxtrunc128[ind].w[1] || (fstar.w[1] == ten2mxtrunc128[ind].w[1] && fstar.w[0] > ten2mxtrunc128[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } + // check for midpoints (could do this before determining inexactness) + if (fstar.w[3] == 0 && fstar.w[2] == 0 && + (fstar.w[1] < ten2mxtrunc128[ind].w[1] || + (fstar.w[1] == ten2mxtrunc128[ind].w[1] && + fstar.w[0] <= ten2mxtrunc128[ind].w[0]))) { + // the result is a midpoint + if (Cstar.w[0] & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result may be 0 + Cstar.w[0]--; // Cstar is now even + if (Cstar.w[0] == 0xffffffffffffffffULL) { + Cstar.w[1]--; + } + *ptr_is_midpoint_gt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + *ptr_is_midpoint_lt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } + } + // check for rounding overflow, which occurs if Cstar = 10^(q-x) + ind = q - x; // 1 <= ind <= q - 1 + if (ind <= 19) { + if (Cstar.w[1] == 0x0ULL && Cstar.w[0] == ten2k64[ind]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k64[ind - 1]; // Cstar = 10^(q-x-1) + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind == 20) { + // if ind = 20 + if (Cstar.w[1] == ten2k128[0].w[1] + && Cstar.w[0] == ten2k128[0].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k64[19]; // Cstar = 10^(q-x-1) + Cstar.w[1] = 0x0ULL; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else { // if 21 <= ind <= 37 + if (Cstar.w[1] == ten2k128[ind - 20].w[1] && + Cstar.w[0] == ten2k128[ind - 20].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k128[ind - 21].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k128[ind - 21].w[1]; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } + ptr_Cstar->w[1] = Cstar.w[1]; + ptr_Cstar->w[0] = Cstar.w[0]; +} + + +void +round192_39_57 (int q, + int x, + UINT192 C, + UINT192 * ptr_Cstar, + int *incr_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint) { + + UINT384 P384; + UINT384 fstar; + UINT192 Cstar; + UINT64 tmp64; + int shift; + int ind; + + // Note: + // In round192_39_57() positive numbers with 39 <= q <= 57 will be + // rounded to nearest only for 5 <= x <= 42: + // x = 23 or x = 24 or x = 5 or x = 6 when q = 39 + // x = 24 or x = 25 or x = 6 or x = 7 when q = 40 + // ... + // x = 41 or x = 42 or x = 23 or x = 24 when q = 57 + // However, for generality and possible uses outside the frame of IEEE 754R + // this implementation works for 1 <= x <= q - 1 + + // assume *ptr_is_midpoint_lt_even, *ptr_is_midpoint_gt_even, + // *ptr_is_inexact_lt_midpoint, and *ptr_is_inexact_gt_midpoint are + // initialized to 0 by the caller + + // round a number C with q decimal digits, 39 <= q <= 57 + // to q - x digits, 1 <= x <= 56 + // C = C + 1/2 * 10^x where the result C fits in 192 bits + // (because the largest value is + // 999999999999999999999999999999999999999999999999999999999 + + // 50000000000000000000000000000000000000000000000000000000 = + // 0x2ad282f212a1da846afdaf18c034ff09da7fffffffffffff, which fits in 190 bits) + ind = x - 1; // 0 <= ind <= 55 + if (ind <= 18) { // if 0 <= ind <= 18 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint64[ind]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0) { + C.w[2]++; + } + } + } else if (ind <= 37) { // if 19 <= ind <= 37 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint128[ind - 19].w[0]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0) { + C.w[2]++; + } + } + tmp64 = C.w[1]; + C.w[1] = C.w[1] + midpoint128[ind - 19].w[1]; + if (C.w[1] < tmp64) { + C.w[2]++; + } + } else { // if 38 <= ind <= 57 (actually ind <= 55) + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint192[ind - 38].w[0]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0ull) { + C.w[2]++; + } + } + tmp64 = C.w[1]; + C.w[1] = C.w[1] + midpoint192[ind - 38].w[1]; + if (C.w[1] < tmp64) { + C.w[2]++; + } + C.w[2] = C.w[2] + midpoint192[ind - 38].w[2]; + } + // kx ~= 10^(-x), kx = Kx192[ind] * 2^(-Ex), 0 <= ind <= 55 + // P384 = (C + 1/2 * 10^x) * kx * 2^Ex = (C + 1/2 * 10^x) * Kx + // the approximation kx of 10^(-x) was rounded up to 192 bits + __mul_192x192_to_384 (P384, C, Kx192[ind]); + // calculate C* = floor (P384) and f* + // Cstar = P384 >> Ex + // fstar = low Ex bits of P384 + shift = Ex192m192[ind]; // in [1, 63] but have to consider three cases + if (ind <= 18) { // if 0 <= ind <= 18 + Cstar.w[2] = (P384.w[5] >> shift); + Cstar.w[1] = (P384.w[5] << (64 - shift)) | (P384.w[4] >> shift); + Cstar.w[0] = (P384.w[4] << (64 - shift)) | (P384.w[3] >> shift); + fstar.w[5] = 0x0ULL; + fstar.w[4] = 0x0ULL; + fstar.w[3] = P384.w[3] & mask192[ind]; + fstar.w[2] = P384.w[2]; + fstar.w[1] = P384.w[1]; + fstar.w[0] = P384.w[0]; + } else if (ind <= 37) { // if 19 <= ind <= 37 + Cstar.w[2] = 0x0ULL; + Cstar.w[1] = P384.w[5] >> shift; + Cstar.w[0] = (P384.w[5] << (64 - shift)) | (P384.w[4] >> shift); + fstar.w[5] = 0x0ULL; + fstar.w[4] = P384.w[4] & mask192[ind]; + fstar.w[3] = P384.w[3]; + fstar.w[2] = P384.w[2]; + fstar.w[1] = P384.w[1]; + fstar.w[0] = P384.w[0]; + } else { // if 38 <= ind <= 57 + Cstar.w[2] = 0x0ULL; + Cstar.w[1] = 0x0ULL; + Cstar.w[0] = P384.w[5] >> shift; + fstar.w[5] = P384.w[5] & mask192[ind]; + fstar.w[4] = P384.w[4]; + fstar.w[3] = P384.w[3]; + fstar.w[2] = P384.w[2]; + fstar.w[1] = P384.w[1]; + fstar.w[0] = P384.w[0]; + } + + // the top Ex bits of 10^(-x) are T* = ten2mxtrunc192[ind], e.g. if x=1, + // T*=ten2mxtrunc192[0]=0xcccccccccccccccccccccccccccccccccccccccccccccccc + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has q - x decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has q - x decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has q - x decimal digits, + // correct by Property 1) + // in the caling function n = C* * 10^(e+x) + + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind <= 18) { // if 0 <= ind <= 18 + if (fstar.w[3] > half192[ind] || (fstar.w[3] == half192[ind] && + (fstar.w[2] || fstar.w[1] + || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[3] - half192[ind]; + if (tmp64 || fstar.w[2] > ten2mxtrunc192[ind].w[2] || (fstar.w[2] == ten2mxtrunc192[ind].w[2] && fstar.w[1] > ten2mxtrunc192[ind].w[1]) || (fstar.w[2] == ten2mxtrunc192[ind].w[2] && fstar.w[1] == ten2mxtrunc192[ind].w[1] && fstar.w[0] > ten2mxtrunc192[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } else if (ind <= 37) { // if 19 <= ind <= 37 + if (fstar.w[4] > half192[ind] || (fstar.w[4] == half192[ind] && + (fstar.w[3] || fstar.w[2] + || fstar.w[1] || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[4] - half192[ind]; + if (tmp64 || fstar.w[3] || fstar.w[2] > ten2mxtrunc192[ind].w[2] || (fstar.w[2] == ten2mxtrunc192[ind].w[2] && fstar.w[1] > ten2mxtrunc192[ind].w[1]) || (fstar.w[2] == ten2mxtrunc192[ind].w[2] && fstar.w[1] == ten2mxtrunc192[ind].w[1] && fstar.w[0] > ten2mxtrunc192[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } else { // if 38 <= ind <= 55 + if (fstar.w[5] > half192[ind] || (fstar.w[5] == half192[ind] && + (fstar.w[4] || fstar.w[3] + || fstar.w[2] || fstar.w[1] + || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[5] - half192[ind]; + if (tmp64 || fstar.w[4] || fstar.w[3] || fstar.w[2] > ten2mxtrunc192[ind].w[2] || (fstar.w[2] == ten2mxtrunc192[ind].w[2] && fstar.w[1] > ten2mxtrunc192[ind].w[1]) || (fstar.w[2] == ten2mxtrunc192[ind].w[2] && fstar.w[1] == ten2mxtrunc192[ind].w[1] && fstar.w[0] > ten2mxtrunc192[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } + // check for midpoints (could do this before determining inexactness) + if (fstar.w[5] == 0 && fstar.w[4] == 0 && fstar.w[3] == 0 && + (fstar.w[2] < ten2mxtrunc192[ind].w[2] || + (fstar.w[2] == ten2mxtrunc192[ind].w[2] && + fstar.w[1] < ten2mxtrunc192[ind].w[1]) || + (fstar.w[2] == ten2mxtrunc192[ind].w[2] && + fstar.w[1] == ten2mxtrunc192[ind].w[1] && + fstar.w[0] <= ten2mxtrunc192[ind].w[0]))) { + // the result is a midpoint + if (Cstar.w[0] & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result may be 0 + Cstar.w[0]--; // Cstar is now even + if (Cstar.w[0] == 0xffffffffffffffffULL) { + Cstar.w[1]--; + if (Cstar.w[1] == 0xffffffffffffffffULL) { + Cstar.w[2]--; + } + } + *ptr_is_midpoint_gt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + *ptr_is_midpoint_lt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } + } + // check for rounding overflow, which occurs if Cstar = 10^(q-x) + ind = q - x; // 1 <= ind <= q - 1 + if (ind <= 19) { + if (Cstar.w[2] == 0x0ULL && Cstar.w[1] == 0x0ULL && + Cstar.w[0] == ten2k64[ind]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k64[ind - 1]; // Cstar = 10^(q-x-1) + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind == 20) { + // if ind = 20 + if (Cstar.w[2] == 0x0ULL && Cstar.w[1] == ten2k128[0].w[1] && + Cstar.w[0] == ten2k128[0].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k64[19]; // Cstar = 10^(q-x-1) + Cstar.w[1] = 0x0ULL; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind <= 38) { // if 21 <= ind <= 38 + if (Cstar.w[2] == 0x0ULL && Cstar.w[1] == ten2k128[ind - 20].w[1] && + Cstar.w[0] == ten2k128[ind - 20].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k128[ind - 21].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k128[ind - 21].w[1]; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind == 39) { + if (Cstar.w[2] == ten2k256[0].w[2] && Cstar.w[1] == ten2k256[0].w[1] + && Cstar.w[0] == ten2k256[0].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k128[18].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k128[18].w[1]; + Cstar.w[2] = 0x0ULL; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else { // if 40 <= ind <= 56 + if (Cstar.w[2] == ten2k256[ind - 39].w[2] && + Cstar.w[1] == ten2k256[ind - 39].w[1] && + Cstar.w[0] == ten2k256[ind - 39].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k256[ind - 40].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k256[ind - 40].w[1]; + Cstar.w[2] = ten2k256[ind - 40].w[2]; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } + ptr_Cstar->w[2] = Cstar.w[2]; + ptr_Cstar->w[1] = Cstar.w[1]; + ptr_Cstar->w[0] = Cstar.w[0]; +} + + +void +round256_58_76 (int q, + int x, + UINT256 C, + UINT256 * ptr_Cstar, + int *incr_exp, + int *ptr_is_midpoint_lt_even, + int *ptr_is_midpoint_gt_even, + int *ptr_is_inexact_lt_midpoint, + int *ptr_is_inexact_gt_midpoint) { + + UINT512 P512; + UINT512 fstar; + UINT256 Cstar; + UINT64 tmp64; + int shift; + int ind; + + // Note: + // In round256_58_76() positive numbers with 58 <= q <= 76 will be + // rounded to nearest only for 24 <= x <= 61: + // x = 42 or x = 43 or x = 24 or x = 25 when q = 58 + // x = 43 or x = 44 or x = 25 or x = 26 when q = 59 + // ... + // x = 60 or x = 61 or x = 42 or x = 43 when q = 76 + // However, for generality and possible uses outside the frame of IEEE 754R + // this implementation works for 1 <= x <= q - 1 + + // assume *ptr_is_midpoint_lt_even, *ptr_is_midpoint_gt_even, + // *ptr_is_inexact_lt_midpoint, and *ptr_is_inexact_gt_midpoint are + // initialized to 0 by the caller + + // round a number C with q decimal digits, 58 <= q <= 76 + // to q - x digits, 1 <= x <= 75 + // C = C + 1/2 * 10^x where the result C fits in 256 bits + // (because the largest value is 9999999999999999999999999999999999999999 + // 999999999999999999999999999999999999 + 500000000000000000000000000 + // 000000000000000000000000000000000000000000000000 = + // 0x1736ca15d27a56cae15cf0e7b403d1f2bd6ebb0a50dc83ffffffffffffffffff, + // which fits in 253 bits) + ind = x - 1; // 0 <= ind <= 74 + if (ind <= 18) { // if 0 <= ind <= 18 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint64[ind]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + } + } else if (ind <= 37) { // if 19 <= ind <= 37 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint128[ind - 19].w[0]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + } + tmp64 = C.w[1]; + C.w[1] = C.w[1] + midpoint128[ind - 19].w[1]; + if (C.w[1] < tmp64) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + } else if (ind <= 57) { // if 38 <= ind <= 57 + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint192[ind - 38].w[0]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0ull) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + } + tmp64 = C.w[1]; + C.w[1] = C.w[1] + midpoint192[ind - 38].w[1]; + if (C.w[1] < tmp64) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + tmp64 = C.w[2]; + C.w[2] = C.w[2] + midpoint192[ind - 38].w[2]; + if (C.w[2] < tmp64) { + C.w[3]++; + } + } else { // if 58 <= ind <= 76 (actually 58 <= ind <= 74) + tmp64 = C.w[0]; + C.w[0] = C.w[0] + midpoint256[ind - 58].w[0]; + if (C.w[0] < tmp64) { + C.w[1]++; + if (C.w[1] == 0x0ull) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + } + tmp64 = C.w[1]; + C.w[1] = C.w[1] + midpoint256[ind - 58].w[1]; + if (C.w[1] < tmp64) { + C.w[2]++; + if (C.w[2] == 0x0) { + C.w[3]++; + } + } + tmp64 = C.w[2]; + C.w[2] = C.w[2] + midpoint256[ind - 58].w[2]; + if (C.w[2] < tmp64) { + C.w[3]++; + } + C.w[3] = C.w[3] + midpoint256[ind - 58].w[3]; + } + // kx ~= 10^(-x), kx = Kx256[ind] * 2^(-Ex), 0 <= ind <= 74 + // P512 = (C + 1/2 * 10^x) * kx * 2^Ex = (C + 1/2 * 10^x) * Kx + // the approximation kx of 10^(-x) was rounded up to 192 bits + __mul_256x256_to_512 (P512, C, Kx256[ind]); + // calculate C* = floor (P512) and f* + // Cstar = P512 >> Ex + // fstar = low Ex bits of P512 + shift = Ex256m256[ind]; // in [0, 63] but have to consider four cases + if (ind <= 18) { // if 0 <= ind <= 18 + Cstar.w[3] = (P512.w[7] >> shift); + Cstar.w[2] = (P512.w[7] << (64 - shift)) | (P512.w[6] >> shift); + Cstar.w[1] = (P512.w[6] << (64 - shift)) | (P512.w[5] >> shift); + Cstar.w[0] = (P512.w[5] << (64 - shift)) | (P512.w[4] >> shift); + fstar.w[7] = 0x0ULL; + fstar.w[6] = 0x0ULL; + fstar.w[5] = 0x0ULL; + fstar.w[4] = P512.w[4] & mask256[ind]; + fstar.w[3] = P512.w[3]; + fstar.w[2] = P512.w[2]; + fstar.w[1] = P512.w[1]; + fstar.w[0] = P512.w[0]; + } else if (ind <= 37) { // if 19 <= ind <= 37 + Cstar.w[3] = 0x0ULL; + Cstar.w[2] = P512.w[7] >> shift; + Cstar.w[1] = (P512.w[7] << (64 - shift)) | (P512.w[6] >> shift); + Cstar.w[0] = (P512.w[6] << (64 - shift)) | (P512.w[5] >> shift); + fstar.w[7] = 0x0ULL; + fstar.w[6] = 0x0ULL; + fstar.w[5] = P512.w[5] & mask256[ind]; + fstar.w[4] = P512.w[4]; + fstar.w[3] = P512.w[3]; + fstar.w[2] = P512.w[2]; + fstar.w[1] = P512.w[1]; + fstar.w[0] = P512.w[0]; + } else if (ind <= 56) { // if 38 <= ind <= 56 + Cstar.w[3] = 0x0ULL; + Cstar.w[2] = 0x0ULL; + Cstar.w[1] = P512.w[7] >> shift; + Cstar.w[0] = (P512.w[7] << (64 - shift)) | (P512.w[6] >> shift); + fstar.w[7] = 0x0ULL; + fstar.w[6] = P512.w[6] & mask256[ind]; + fstar.w[5] = P512.w[5]; + fstar.w[4] = P512.w[4]; + fstar.w[3] = P512.w[3]; + fstar.w[2] = P512.w[2]; + fstar.w[1] = P512.w[1]; + fstar.w[0] = P512.w[0]; + } else if (ind == 57) { + Cstar.w[3] = 0x0ULL; + Cstar.w[2] = 0x0ULL; + Cstar.w[1] = 0x0ULL; + Cstar.w[0] = P512.w[7]; + fstar.w[7] = 0x0ULL; + fstar.w[6] = P512.w[6]; + fstar.w[5] = P512.w[5]; + fstar.w[4] = P512.w[4]; + fstar.w[3] = P512.w[3]; + fstar.w[2] = P512.w[2]; + fstar.w[1] = P512.w[1]; + fstar.w[0] = P512.w[0]; + } else { // if 58 <= ind <= 74 + Cstar.w[3] = 0x0ULL; + Cstar.w[2] = 0x0ULL; + Cstar.w[1] = 0x0ULL; + Cstar.w[0] = P512.w[7] >> shift; + fstar.w[7] = P512.w[7] & mask256[ind]; + fstar.w[6] = P512.w[6]; + fstar.w[5] = P512.w[5]; + fstar.w[4] = P512.w[4]; + fstar.w[3] = P512.w[3]; + fstar.w[2] = P512.w[2]; + fstar.w[1] = P512.w[1]; + fstar.w[0] = P512.w[0]; + } + + // the top Ex bits of 10^(-x) are T* = ten2mxtrunc256[ind], e.g. if x=1, + // T*=ten2mxtrunc256[0]= + // 0xcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc + // if (0 < f* < 10^(-x)) then the result is a midpoint + // if floor(C*) is even then C* = floor(C*) - logical right + // shift; C* has q - x decimal digits, correct by Prop. 1) + // else if floor(C*) is odd C* = floor(C*)-1 (logical right + // shift; C* has q - x decimal digits, correct by Pr. 1) + // else + // C* = floor(C*) (logical right shift; C has q - x decimal digits, + // correct by Property 1) + // in the caling function n = C* * 10^(e+x) + + // determine inexactness of the rounding of C* + // if (0 < f* - 1/2 < 10^(-x)) then + // the result is exact + // else // if (f* - 1/2 > T*) then + // the result is inexact + if (ind <= 18) { // if 0 <= ind <= 18 + if (fstar.w[4] > half256[ind] || (fstar.w[4] == half256[ind] && + (fstar.w[3] || fstar.w[2] + || fstar.w[1] || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[4] - half256[ind]; + if (tmp64 || fstar.w[3] > ten2mxtrunc256[ind].w[2] || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] > ten2mxtrunc256[ind].w[2]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] > ten2mxtrunc256[ind].w[1]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] == ten2mxtrunc256[ind].w[1] && fstar.w[0] > ten2mxtrunc256[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } else if (ind <= 37) { // if 19 <= ind <= 37 + if (fstar.w[5] > half256[ind] || (fstar.w[5] == half256[ind] && + (fstar.w[4] || fstar.w[3] + || fstar.w[2] || fstar.w[1] + || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[5] - half256[ind]; + if (tmp64 || fstar.w[4] || fstar.w[3] > ten2mxtrunc256[ind].w[3] || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] > ten2mxtrunc256[ind].w[2]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] > ten2mxtrunc256[ind].w[1]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] == ten2mxtrunc256[ind].w[1] && fstar.w[0] > ten2mxtrunc256[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } else if (ind <= 57) { // if 38 <= ind <= 57 + if (fstar.w[6] > half256[ind] || (fstar.w[6] == half256[ind] && + (fstar.w[5] || fstar.w[4] + || fstar.w[3] || fstar.w[2] + || fstar.w[1] || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[6] - half256[ind]; + if (tmp64 || fstar.w[5] || fstar.w[4] || fstar.w[3] > ten2mxtrunc256[ind].w[3] || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] > ten2mxtrunc256[ind].w[2]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] > ten2mxtrunc256[ind].w[1]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] == ten2mxtrunc256[ind].w[1] && fstar.w[0] > ten2mxtrunc256[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } else { // if 58 <= ind <= 74 + if (fstar.w[7] > half256[ind] || (fstar.w[7] == half256[ind] && + (fstar.w[6] || fstar.w[5] + || fstar.w[4] || fstar.w[3] + || fstar.w[2] || fstar.w[1] + || fstar.w[0]))) { + // f* > 1/2 and the result may be exact + // Calculate f* - 1/2 + tmp64 = fstar.w[7] - half256[ind]; + if (tmp64 || fstar.w[6] || fstar.w[5] || fstar.w[4] || fstar.w[3] > ten2mxtrunc256[ind].w[3] || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] > ten2mxtrunc256[ind].w[2]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] > ten2mxtrunc256[ind].w[1]) || (fstar.w[3] == ten2mxtrunc256[ind].w[3] && fstar.w[2] == ten2mxtrunc256[ind].w[2] && fstar.w[1] == ten2mxtrunc256[ind].w[1] && fstar.w[0] > ten2mxtrunc256[ind].w[0])) { // f* - 1/2 > 10^(-x) + *ptr_is_inexact_lt_midpoint = 1; + } // else the result is exact + } else { // the result is inexact; f2* <= 1/2 + *ptr_is_inexact_gt_midpoint = 1; + } + } + // check for midpoints (could do this before determining inexactness) + if (fstar.w[7] == 0 && fstar.w[6] == 0 && + fstar.w[5] == 0 && fstar.w[4] == 0 && + (fstar.w[3] < ten2mxtrunc256[ind].w[3] || + (fstar.w[3] == ten2mxtrunc256[ind].w[3] && + fstar.w[2] < ten2mxtrunc256[ind].w[2]) || + (fstar.w[3] == ten2mxtrunc256[ind].w[3] && + fstar.w[2] == ten2mxtrunc256[ind].w[2] && + fstar.w[1] < ten2mxtrunc256[ind].w[1]) || + (fstar.w[3] == ten2mxtrunc256[ind].w[3] && + fstar.w[2] == ten2mxtrunc256[ind].w[2] && + fstar.w[1] == ten2mxtrunc256[ind].w[1] && + fstar.w[0] <= ten2mxtrunc256[ind].w[0]))) { + // the result is a midpoint + if (Cstar.w[0] & 0x01) { // Cstar is odd; MP in [EVEN, ODD] + // if floor(C*) is odd C = floor(C*) - 1; the result may be 0 + Cstar.w[0]--; // Cstar is now even + if (Cstar.w[0] == 0xffffffffffffffffULL) { + Cstar.w[1]--; + if (Cstar.w[1] == 0xffffffffffffffffULL) { + Cstar.w[2]--; + if (Cstar.w[2] == 0xffffffffffffffffULL) { + Cstar.w[3]--; + } + } + } + *ptr_is_midpoint_gt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } else { // else MP in [ODD, EVEN] + *ptr_is_midpoint_lt_even = 1; + *ptr_is_inexact_lt_midpoint = 0; + *ptr_is_inexact_gt_midpoint = 0; + } + } + // check for rounding overflow, which occurs if Cstar = 10^(q-x) + ind = q - x; // 1 <= ind <= q - 1 + if (ind <= 19) { + if (Cstar.w[3] == 0x0ULL && Cstar.w[2] == 0x0ULL && + Cstar.w[1] == 0x0ULL && Cstar.w[0] == ten2k64[ind]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k64[ind - 1]; // Cstar = 10^(q-x-1) + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind == 20) { + // if ind = 20 + if (Cstar.w[3] == 0x0ULL && Cstar.w[2] == 0x0ULL && + Cstar.w[1] == ten2k128[0].w[1] + && Cstar.w[0] == ten2k128[0].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k64[19]; // Cstar = 10^(q-x-1) + Cstar.w[1] = 0x0ULL; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind <= 38) { // if 21 <= ind <= 38 + if (Cstar.w[3] == 0x0ULL && Cstar.w[2] == 0x0ULL && + Cstar.w[1] == ten2k128[ind - 20].w[1] && + Cstar.w[0] == ten2k128[ind - 20].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k128[ind - 21].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k128[ind - 21].w[1]; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind == 39) { + if (Cstar.w[3] == 0x0ULL && Cstar.w[2] == ten2k256[0].w[2] && + Cstar.w[1] == ten2k256[0].w[1] + && Cstar.w[0] == ten2k256[0].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k128[18].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k128[18].w[1]; + Cstar.w[2] = 0x0ULL; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } else if (ind <= 57) { // if 40 <= ind <= 57 + if (Cstar.w[3] == 0x0ULL && Cstar.w[2] == ten2k256[ind - 39].w[2] && + Cstar.w[1] == ten2k256[ind - 39].w[1] && + Cstar.w[0] == ten2k256[ind - 39].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k256[ind - 40].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k256[ind - 40].w[1]; + Cstar.w[2] = ten2k256[ind - 40].w[2]; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + // else if (ind == 58) is not needed becauae we do not have ten2k192[] yet + } else { // if 58 <= ind <= 77 (actually 58 <= ind <= 74) + if (Cstar.w[3] == ten2k256[ind - 39].w[3] && + Cstar.w[2] == ten2k256[ind - 39].w[2] && + Cstar.w[1] == ten2k256[ind - 39].w[1] && + Cstar.w[0] == ten2k256[ind - 39].w[0]) { + // if Cstar = 10^(q-x) + Cstar.w[0] = ten2k256[ind - 40].w[0]; // Cstar = 10^(q-x-1) + Cstar.w[1] = ten2k256[ind - 40].w[1]; + Cstar.w[2] = ten2k256[ind - 40].w[2]; + Cstar.w[3] = ten2k256[ind - 40].w[3]; + *incr_exp = 1; + } else { + *incr_exp = 0; + } + } + ptr_Cstar->w[3] = Cstar.w[3]; + ptr_Cstar->w[2] = Cstar.w[2]; + ptr_Cstar->w[1] = Cstar.w[1]; + ptr_Cstar->w[0] = Cstar.w[0]; + +} diff --git a/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_sqrt_macros.h b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_sqrt_macros.h new file mode 100644 index 0000000000..268e6be1e4 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/libbid/bid_sqrt_macros.h @@ -0,0 +1,331 @@ +/* Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _SQRT_MACROS_H_ +#define _SQRT_MACROS_H_ + +#define FENCE __fence + +#if DOUBLE_EXTENDED_ON + +extern BINARY80 SQRT80 (BINARY80); + + +__BID_INLINE__ UINT64 +short_sqrt128 (UINT128 A10) { + BINARY80 lx, ly, l64; + int_float f64; + + // 2^64 + f64.i = 0x5f800000; + l64 = (BINARY80) f64.d; + lx = (BINARY80) A10.w[1] * l64 + (BINARY80) A10.w[0]; + ly = SQRT80 (lx); + return (UINT64) ly; +} + + +__BID_INLINE__ void +long_sqrt128 (UINT128 * pCS, UINT256 C256) { + UINT256 C4; + UINT128 CS; + UINT64 X; + SINT64 SE; + BINARY80 l64, lm64, l128, lxL, lx, ly, lS, lSH, lSL, lE, l3, l2, + l1, l0, lp, lCl; + int_float fx, f64, fm64; + int *ple = (int *) &lx; + + // 2^64 + f64.i = 0x5f800000; + l64 = (BINARY80) f64.d; + + l128 = l64 * l64; + lx = l3 = (BINARY80) C256.w[3] * l64 * l128; + l2 = (BINARY80) C256.w[2] * l128; + lx = FENCE (lx + l2); + l1 = (BINARY80) C256.w[1] * l64; + lx = FENCE (lx + l1); + l0 = (BINARY80) C256.w[0]; + lx = FENCE (lx + l0); + // sqrt(C256) + lS = SQRT80 (lx); + + // get coefficient + // 2^(-64) + fm64.i = 0x1f800000; + lm64 = (BINARY80) fm64.d; + CS.w[1] = (UINT64) (lS * lm64); + CS.w[0] = (UINT64) (lS - (BINARY80) CS.w[1] * l64); + + /////////////////////////////////////// + // CAUTION! + // little endian code only + // add solution for big endian + ////////////////////////////////////// + lSH = lS; + *((UINT64 *) & lSH) &= 0xffffffff00000000ull; + + // correction for C256 rounding + lCl = FENCE (l3 - lx); + lCl = FENCE (lCl + l2); + lCl = FENCE (lCl + l1); + lCl = FENCE (lCl + l0); + + lSL = lS - lSH; + + ////////////////////////////////////////// + // Watch for compiler re-ordering + // + ///////////////////////////////////////// + // C256-S^2 + lxL = FENCE (lx - lSH * lSH); + lp = lSH * lSL; + lp += lp; + lxL = FENCE (lxL - lp); + lSL *= lSL; + lxL = FENCE (lxL - lSL); + lCl += lxL; + + // correction term + lE = lCl / (lS + lS); + + // get low part of coefficient + X = CS.w[0]; + if (lCl >= 0) { + SE = (SINT64) (lE); + CS.w[0] += SE; + if (CS.w[0] < X) + CS.w[1]++; + } else { + SE = (SINT64) (-lE); + CS.w[0] -= SE; + if (CS.w[0] > X) + CS.w[1]--; + } + + pCS->w[0] = CS.w[0]; + pCS->w[1] = CS.w[1]; +} + +#else + +extern double sqrt (double); + +__BID_INLINE__ UINT64 +short_sqrt128 (UINT128 A10) { + UINT256 ARS, ARS0, AE0, AE, S; + + UINT64 MY, ES, CY; + double lx, l64; + int_double f64, ly; + int ey, k; + + // 2^64 + f64.i = 0x43f0000000000000ull; + l64 = f64.d; + lx = (double) A10.w[1] * l64 + (double) A10.w[0]; + ly.d = 1.0 / sqrt (lx); + + MY = (ly.i & 0x000fffffffffffffull) | 0x0010000000000000ull; + ey = 0x3ff - (ly.i >> 52); + + // A10*RS^2 + __mul_64x128_to_192 (ARS0, MY, A10); + __mul_64x192_to_256 (ARS, MY, ARS0); + + // shr by 2*ey+40, to get a 64-bit value + k = (ey << 1) + 104 - 64; + if (k >= 128) { + if (k > 128) + ES = (ARS.w[2] >> (k - 128)) | (ARS.w[3] << (192 - k)); + else + ES = ARS.w[2]; + } else { + if (k >= 64) { + ARS.w[0] = ARS.w[1]; + ARS.w[1] = ARS.w[2]; + k -= 64; + } + if (k) { + __shr_128 (ARS, ARS, k); + } + ES = ARS.w[0]; + } + + ES = ((SINT64) ES) >> 1; + + if (((SINT64) ES) < 0) { + ES = -ES; + + // A*RS*eps (scaled by 2^64) + __mul_64x192_to_256 (AE0, ES, ARS0); + + AE.w[0] = AE0.w[1]; + AE.w[1] = AE0.w[2]; + AE.w[2] = AE0.w[3]; + + __add_carry_out (S.w[0], CY, ARS0.w[0], AE.w[0]); + __add_carry_in_out (S.w[1], CY, ARS0.w[1], AE.w[1], CY); + S.w[2] = ARS0.w[2] + AE.w[2] + CY; + } else { + // A*RS*eps (scaled by 2^64) + __mul_64x192_to_256 (AE0, ES, ARS0); + + AE.w[0] = AE0.w[1]; + AE.w[1] = AE0.w[2]; + AE.w[2] = AE0.w[3]; + + __sub_borrow_out (S.w[0], CY, ARS0.w[0], AE.w[0]); + __sub_borrow_in_out (S.w[1], CY, ARS0.w[1], AE.w[1], CY); + S.w[2] = ARS0.w[2] - AE.w[2] - CY; + } + + k = ey + 51; + + if (k >= 64) { + if (k >= 128) { + S.w[0] = S.w[2]; + S.w[1] = 0; + k -= 128; + } else { + S.w[0] = S.w[1]; + S.w[1] = S.w[2]; + } + k -= 64; + } + if (k) { + __shr_128 (S, S, k); + } + + + return (UINT64) ((S.w[0] + 1) >> 1); + +} + + + +__BID_INLINE__ void +long_sqrt128 (UINT128 * pCS, UINT256 C256) { + UINT512 ARS0, ARS; + UINT256 ARS00, AE, AE2, S; + UINT128 ES, ES2, ARS1; + UINT64 ES32, CY, MY; + double l64, l128, lx, l2, l1, l0; + int_double f64, ly; + int ey, k, k2; + + // 2^64 + f64.i = 0x43f0000000000000ull; + l64 = f64.d; + + l128 = l64 * l64; + lx = (double) C256.w[3] * l64 * l128; + l2 = (double) C256.w[2] * l128; + lx = FENCE (lx + l2); + l1 = (double) C256.w[1] * l64; + lx = FENCE (lx + l1); + l0 = (double) C256.w[0]; + lx = FENCE (lx + l0); + // sqrt(C256) + ly.d = 1.0 / sqrt (lx); + + MY = (ly.i & 0x000fffffffffffffull) | 0x0010000000000000ull; + ey = 0x3ff - (ly.i >> 52); + + // A10*RS^2, scaled by 2^(2*ey+104) + __mul_64x256_to_320 (ARS0, MY, C256); + __mul_64x320_to_384 (ARS, MY, ARS0); + + // shr by k=(2*ey+104)-128 + // expect k is in the range (192, 256) if result in [10^33, 10^34) + // apply an additional signed shift by 1 at the same time (to get eps=eps0/2) + k = (ey << 1) + 104 - 128 - 192; + k2 = 64 - k; + ES.w[0] = (ARS.w[3] >> (k + 1)) | (ARS.w[4] << (k2 - 1)); + ES.w[1] = (ARS.w[4] >> k) | (ARS.w[5] << k2); + ES.w[1] = ((SINT64) ES.w[1]) >> 1; + + // A*RS >> 192 (for error term computation) + ARS1.w[0] = ARS0.w[3]; + ARS1.w[1] = ARS0.w[4]; + + // A*RS>>64 + ARS00.w[0] = ARS0.w[1]; + ARS00.w[1] = ARS0.w[2]; + ARS00.w[2] = ARS0.w[3]; + ARS00.w[3] = ARS0.w[4]; + + if (((SINT64) ES.w[1]) < 0) { + ES.w[0] = -ES.w[0]; + ES.w[1] = -ES.w[1]; + if (ES.w[0]) + ES.w[1]--; + + // A*RS*eps + __mul_128x128_to_256 (AE, ES, ARS1); + + __add_carry_out (S.w[0], CY, ARS00.w[0], AE.w[0]); + __add_carry_in_out (S.w[1], CY, ARS00.w[1], AE.w[1], CY); + __add_carry_in_out (S.w[2], CY, ARS00.w[2], AE.w[2], CY); + S.w[3] = ARS00.w[3] + AE.w[3] + CY; + } else { + // A*RS*eps + __mul_128x128_to_256 (AE, ES, ARS1); + + __sub_borrow_out (S.w[0], CY, ARS00.w[0], AE.w[0]); + __sub_borrow_in_out (S.w[1], CY, ARS00.w[1], AE.w[1], CY); + __sub_borrow_in_out (S.w[2], CY, ARS00.w[2], AE.w[2], CY); + S.w[3] = ARS00.w[3] - AE.w[3] - CY; + } + + // 3/2*eps^2, scaled by 2^128 + ES32 = ES.w[1] + (ES.w[1] >> 1); + __mul_64x64_to_128 (ES2, ES32, ES.w[1]); + // A*RS*3/2*eps^2 + __mul_128x128_to_256 (AE2, ES2, ARS1); + + // result, scaled by 2^(ey+52-64) + __add_carry_out (S.w[0], CY, S.w[0], AE2.w[0]); + __add_carry_in_out (S.w[1], CY, S.w[1], AE2.w[1], CY); + __add_carry_in_out (S.w[2], CY, S.w[2], AE2.w[2], CY); + S.w[3] = S.w[3] + AE2.w[3] + CY; + + // k in (0, 64) + k = ey + 51 - 128; + k2 = 64 - k; + S.w[0] = (S.w[1] >> k) | (S.w[2] << k2); + S.w[1] = (S.w[2] >> k) | (S.w[3] << k2); + + // round to nearest + S.w[0]++; + if (!S.w[0]) + S.w[1]++; + + pCS->w[0] = (S.w[1] << 63) | (S.w[0] >> 1); + pCS->w[1] = S.w[1] >> 1; + +} + +#endif +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/config/no-sfp-machine.h b/contrib/toolchain/gcc/5x/libgcc/config/no-sfp-machine.h new file mode 100644 index 0000000000..8f7341d4f9 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/no-sfp-machine.h @@ -0,0 +1 @@ +/* Dummy sfp-machine.h header for targets that don't need one. */ diff --git a/contrib/toolchain/gcc/5x/libgcc/config/no-unwind.h b/contrib/toolchain/gcc/5x/libgcc/config/no-unwind.h new file mode 100644 index 0000000000..0ecd78a60d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/config/no-unwind.h @@ -0,0 +1,2 @@ +/* Dummy header for targets without a definition of + MD_FALLBACK_FRAME_STATE_FOR. */ diff --git a/contrib/toolchain/gcc/5x/libgcc/crtstuff.c b/contrib/toolchain/gcc/5x/libgcc/crtstuff.c new file mode 100644 index 0000000000..f37e46486d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/crtstuff.c @@ -0,0 +1,774 @@ +/* Specialized bits of code needed to support construction and + destruction of file-scope objects in C++ code. + Copyright (C) 1991-2015 Free Software Foundation, Inc. + Contributed by Ron Guilmette (rfg@monkeys.com). + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file is a bit like libgcc2.c in that it is compiled + multiple times and yields multiple .o files. + + This file is useful on target machines where the object file format + supports multiple "user-defined" sections (e.g. COFF, ELF, ROSE). On + such systems, this file allows us to avoid running collect (or any + other such slow and painful kludge). Additionally, if the target + system supports a .init section, this file allows us to support the + linking of C++ code with a non-C++ main program. + + Note that if INIT_SECTION_ASM_OP is defined in the tm.h file, then + this file *will* make use of the .init section. If that symbol is + not defined however, then the .init section will not be used. + + Currently, only ELF and COFF are supported. It is likely however that + ROSE could also be supported, if someone was willing to do the work to + make whatever (small?) adaptations are needed. (Some work may be + needed on the ROSE assembler and linker also.) + + This file must be compiled with gcc. */ + +/* Target machine header files require this define. */ +#define IN_LIBGCC2 + +/* FIXME: Including auto-host is incorrect, but until we have + identified the set of defines that need to go into auto-target.h, + this will have to do. */ +#include "auto-host.h" +#undef caddr_t +#undef pid_t +#undef rlim_t +#undef ssize_t +#undef vfork +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "unwind-dw2-fde.h" + +#ifndef FORCE_CODE_SECTION_ALIGN +# define FORCE_CODE_SECTION_ALIGN +#endif + +#ifndef CRT_CALL_STATIC_FUNCTION +# define CRT_CALL_STATIC_FUNCTION(SECTION_OP, FUNC) \ +static void __attribute__((__used__)) \ +call_ ## FUNC (void) \ +{ \ + asm (SECTION_OP); \ + FUNC (); \ + FORCE_CODE_SECTION_ALIGN \ + asm (__LIBGCC_TEXT_SECTION_ASM_OP__); \ +} +#endif + +#if defined(TARGET_DL_ITERATE_PHDR) && \ + (defined(__DragonFly__) || defined(__FreeBSD__)) +#define BSD_DL_ITERATE_PHDR_AVAILABLE +#endif + +#if defined(OBJECT_FORMAT_ELF) \ + && !defined(OBJECT_FORMAT_FLAT) \ + && defined(HAVE_LD_EH_FRAME_HDR) \ + && !defined(inhibit_libc) && !defined(CRTSTUFFT_O) \ + && defined(BSD_DL_ITERATE_PHDR_AVAILABLE) +#include +# define USE_PT_GNU_EH_FRAME +#endif + +#if defined(OBJECT_FORMAT_ELF) \ + && !defined(OBJECT_FORMAT_FLAT) \ + && defined(HAVE_LD_EH_FRAME_HDR) && defined(TARGET_DL_ITERATE_PHDR) \ + && !defined(inhibit_libc) && !defined(CRTSTUFFT_O) \ + && defined(__sun__) && defined(__svr4__) +#include +# define USE_PT_GNU_EH_FRAME +#endif + +#if defined(OBJECT_FORMAT_ELF) \ + && !defined(OBJECT_FORMAT_FLAT) \ + && defined(HAVE_LD_EH_FRAME_HDR) \ + && !defined(inhibit_libc) && !defined(CRTSTUFFT_O) \ + && defined(__GLIBC__) && __GLIBC__ >= 2 +#include +/* uClibc pretends to be glibc 2.2 and DT_CONFIG is defined in its link.h. + But it doesn't use PT_GNU_EH_FRAME ELF segment currently. */ +# if !defined(__UCLIBC__) \ + && (__GLIBC__ > 2 || (__GLIBC__ == 2 && __GLIBC_MINOR__ > 2) \ + || (__GLIBC__ == 2 && __GLIBC_MINOR__ == 2 && defined(DT_CONFIG))) +# define USE_PT_GNU_EH_FRAME +# endif +#endif + +#if defined(OBJECT_FORMAT_ELF) \ + && !defined(OBJECT_FORMAT_FLAT) \ + && defined(HAVE_LD_EH_FRAME_HDR) \ + && !defined(CRTSTUFFT_O) \ + && defined(inhibit_libc) \ + && (defined(__GLIBC__) || defined(__gnu_linux__) || defined(__GNU__)) +/* On systems using glibc, an inhibit_libc build of libgcc is only + part of a bootstrap process. Build the same crt*.o as would be + built with headers present, so that it is not necessary to build + glibc more than once for the bootstrap to converge. */ +# define USE_PT_GNU_EH_FRAME +#endif + +#ifdef USE_EH_FRAME_REGISTRY_ALWAYS +# ifndef __LIBGCC_EH_FRAME_SECTION_NAME__ +# error "Can't use explicit exception-frame-registration without __LIBGCC_EH_FRAME_SECTION_NAME__" +# endif +#endif +#if defined(__LIBGCC_EH_FRAME_SECTION_NAME__) && (!defined(USE_PT_GNU_EH_FRAME) || defined(USE_EH_FRAME_REGISTRY_ALWAYS)) +# define USE_EH_FRAME_REGISTRY +#endif +#if defined(__LIBGCC_EH_FRAME_SECTION_NAME__) \ + && __LIBGCC_EH_TABLES_CAN_BE_READ_ONLY__ +# define EH_FRAME_SECTION_CONST const +#else +# define EH_FRAME_SECTION_CONST +#endif + +#if !defined(DTOR_LIST_END) && defined(OBJECT_FORMAT_ELF) \ + && defined(HAVE_GAS_HIDDEN) && !defined(FINI_ARRAY_SECTION_ASM_OP) +# define HIDDEN_DTOR_LIST_END +#endif + +#if !defined(USE_TM_CLONE_REGISTRY) && defined(OBJECT_FORMAT_ELF) +# define USE_TM_CLONE_REGISTRY 1 +#endif + +/* We do not want to add the weak attribute to the declarations of these + routines in unwind-dw2-fde.h because that will cause the definition of + these symbols to be weak as well. + + This exposes a core issue, how to handle creating weak references vs + how to create weak definitions. Either we have to have the definition + of TARGET_WEAK_ATTRIBUTE be conditional in the shared header files or + have a second declaration if we want a function's references to be weak, + but not its definition. + + Making TARGET_WEAK_ATTRIBUTE conditional seems like a good solution until + one thinks about scaling to larger problems -- i.e., the condition under + which TARGET_WEAK_ATTRIBUTE is active will eventually get far too + complicated. + + So, we take an approach similar to #pragma weak -- we have a second + declaration for functions that we want to have weak references. + + Neither way is particularly good. */ + +/* References to __register_frame_info and __deregister_frame_info should + be weak in this file if at all possible. */ +extern void __register_frame_info (const void *, struct object *) + TARGET_ATTRIBUTE_WEAK; +extern void __register_frame_info_bases (const void *, struct object *, + void *, void *) + TARGET_ATTRIBUTE_WEAK; +extern void *__deregister_frame_info (const void *) + TARGET_ATTRIBUTE_WEAK; +extern void *__deregister_frame_info_bases (const void *) + TARGET_ATTRIBUTE_WEAK; +extern void __do_global_ctors_1 (void); + +/* Likewise for _Jv_RegisterClasses. */ +extern void _Jv_RegisterClasses (void *) TARGET_ATTRIBUTE_WEAK; + +/* Likewise for transactional memory clone tables. */ +extern void _ITM_registerTMCloneTable (void *, size_t) TARGET_ATTRIBUTE_WEAK; +extern void _ITM_deregisterTMCloneTable (void *) TARGET_ATTRIBUTE_WEAK; + +#ifdef OBJECT_FORMAT_ELF + +/* Declare a pointer to void function type. */ +typedef void (*func_ptr) (void); +#define STATIC static + +#else /* OBJECT_FORMAT_ELF */ + +#include "gbl-ctors.h" + +#define STATIC + +#endif /* OBJECT_FORMAT_ELF */ + +#ifdef CRT_BEGIN + +/* NOTE: In order to be able to support SVR4 shared libraries, we arrange + to have one set of symbols { __CTOR_LIST__, __DTOR_LIST__, __CTOR_END__, + __DTOR_END__ } per root executable and also one set of these symbols + per shared library. So in any given whole process image, we may have + multiple definitions of each of these symbols. In order to prevent + these definitions from conflicting with one another, and in order to + ensure that the proper lists are used for the initialization/finalization + of each individual shared library (respectively), we give these symbols + only internal (i.e. `static') linkage, and we also make it a point to + refer to only the __CTOR_END__ symbol in crtend.o and the __DTOR_LIST__ + symbol in crtbegin.o, where they are defined. */ + +/* No need for .ctors/.dtors section if linker can place them in + .init_array/.fini_array section. */ +#ifndef USE_INITFINI_ARRAY +/* The -1 is a flag to __do_global_[cd]tors indicating that this table + does not start with a count of elements. */ +#ifdef CTOR_LIST_BEGIN +CTOR_LIST_BEGIN; +#elif defined(__LIBGCC_CTORS_SECTION_ASM_OP__) +/* Hack: force cc1 to switch to .data section early, so that assembling + __CTOR_LIST__ does not undo our behind-the-back change to .ctors. */ +static func_ptr force_to_data[1] __attribute__ ((__used__)) = { }; +asm (__LIBGCC_CTORS_SECTION_ASM_OP__); +STATIC func_ptr __CTOR_LIST__[1] + __attribute__ ((__used__, aligned(sizeof(func_ptr)))) + = { (func_ptr) (-1) }; +#else +STATIC func_ptr __CTOR_LIST__[1] + __attribute__ ((__used__, section(".ctors"), aligned(sizeof(func_ptr)))) + = { (func_ptr) (-1) }; +#endif /* __CTOR_LIST__ alternatives */ + +#ifdef DTOR_LIST_BEGIN +DTOR_LIST_BEGIN; +#elif defined(__LIBGCC_DTORS_SECTION_ASM_OP__) +asm (__LIBGCC_DTORS_SECTION_ASM_OP__); +STATIC func_ptr __DTOR_LIST__[1] + __attribute__ ((aligned(sizeof(func_ptr)))) + = { (func_ptr) (-1) }; +#else +STATIC func_ptr __DTOR_LIST__[1] + __attribute__((section(".dtors"), aligned(sizeof(func_ptr)))) + = { (func_ptr) (-1) }; +#endif /* __DTOR_LIST__ alternatives */ +#endif /* USE_INITFINI_ARRAY */ + +#ifdef USE_EH_FRAME_REGISTRY +/* Stick a label at the beginning of the frame unwind info so we can register + and deregister it with the exception handling library code. */ +STATIC EH_FRAME_SECTION_CONST char __EH_FRAME_BEGIN__[] + __attribute__((section(__LIBGCC_EH_FRAME_SECTION_NAME__), aligned(4))) + = { }; +#endif /* USE_EH_FRAME_REGISTRY */ + +#ifdef __LIBGCC_JCR_SECTION_NAME__ +/* Stick a label at the beginning of the java class registration info + so we can register them properly. */ +STATIC void *__JCR_LIST__[] + __attribute__ ((used, section(__LIBGCC_JCR_SECTION_NAME__), + aligned(sizeof(void*)))) + = { }; +#endif /* __LIBGCC_JCR_SECTION_NAME__ */ + +#if USE_TM_CLONE_REGISTRY +STATIC func_ptr __TMC_LIST__[] + __attribute__((used, section(".tm_clone_table"), aligned(sizeof(void*)))) + = { }; +# ifdef HAVE_GAS_HIDDEN +extern func_ptr __TMC_END__[] __attribute__((__visibility__ ("hidden"))); +# endif + +static inline void +deregister_tm_clones (void) +{ + void (*fn) (void *); + +#ifdef HAVE_GAS_HIDDEN + if (__TMC_END__ - __TMC_LIST__ == 0) + return; +#else + if (__TMC_LIST__[0] == NULL) + return; +#endif + + fn = _ITM_deregisterTMCloneTable; + __asm ("" : "+r" (fn)); + if (fn) + fn (__TMC_LIST__); +} + +static inline void +register_tm_clones (void) +{ + void (*fn) (void *, size_t); + size_t size; + +#ifdef HAVE_GAS_HIDDEN + size = (__TMC_END__ - __TMC_LIST__) / 2; +#else + for (size = 0; __TMC_LIST__[size * 2] != NULL; size++) + continue; +#endif + if (size == 0) + return; + + fn = _ITM_registerTMCloneTable; + __asm ("" : "+r" (fn)); + if (fn) + fn (__TMC_LIST__, size); +} +#endif /* USE_TM_CLONE_REGISTRY */ + +#if defined(__LIBGCC_INIT_SECTION_ASM_OP__) \ + || defined(__LIBGCC_INIT_ARRAY_SECTION_ASM_OP__) + +#ifdef OBJECT_FORMAT_ELF + +/* Declare the __dso_handle variable. It should have a unique value + in every shared-object; in a main program its value is zero. The + object should in any case be protected. This means the instance + in one DSO or the main program is not used in another object. The + dynamic linker takes care of this. */ + +#ifdef TARGET_LIBGCC_SDATA_SECTION +extern void *__dso_handle __attribute__ ((__section__ (TARGET_LIBGCC_SDATA_SECTION))); +#endif +#ifdef HAVE_GAS_HIDDEN +extern void *__dso_handle __attribute__ ((__visibility__ ("hidden"))); +#endif +#ifdef CRTSTUFFS_O +void *__dso_handle = &__dso_handle; +#else +void *__dso_handle = 0; +#endif + +/* The __cxa_finalize function may not be available so we use only a + weak declaration. */ +extern void __cxa_finalize (void *) TARGET_ATTRIBUTE_WEAK; + +/* Run all the global destructors on exit from the program. */ + +/* Some systems place the number of pointers in the first word of the + table. On SVR4 however, that word is -1. In all cases, the table is + null-terminated. On SVR4, we start from the beginning of the list and + invoke each per-compilation-unit destructor routine in order + until we find that null. + + Note that this function MUST be static. There will be one of these + functions in each root executable and one in each shared library, but + although they all have the same code, each one is unique in that it + refers to one particular associated `__DTOR_LIST__' which belongs to the + same particular root executable or shared library file. + + On some systems, this routine is run more than once from the .fini, + when exit is called recursively, so we arrange to remember where in + the list we left off processing, and we resume at that point, + should we be re-invoked. */ + +static void __attribute__((used)) +__do_global_dtors_aux (void) +{ + static _Bool completed; + + if (__builtin_expect (completed, 0)) + return; + +#ifdef CRTSTUFFS_O + if (__cxa_finalize) + __cxa_finalize (__dso_handle); +#endif + +#ifdef FINI_ARRAY_SECTION_ASM_OP + /* If we are using .fini_array then destructors will be run via that + mechanism. */ +#elif defined(HIDDEN_DTOR_LIST_END) + { + /* Safer version that makes sure only .dtors function pointers are + called even if the static variable is maliciously changed. */ + extern func_ptr __DTOR_END__[] __attribute__((visibility ("hidden"))); + static size_t dtor_idx; + const size_t max_idx = __DTOR_END__ - __DTOR_LIST__ - 1; + func_ptr *dtor_list; + + __asm ("" : "=g" (dtor_list) : "0" (__DTOR_LIST__)); + while (dtor_idx < max_idx) + dtor_list[++dtor_idx] (); + } +#else /* !defined (FINI_ARRAY_SECTION_ASM_OP) */ + { + static func_ptr *p = __DTOR_LIST__ + 1; + func_ptr f; + + while ((f = *p)) + { + p++; + f (); + } + } +#endif /* !defined(FINI_ARRAY_SECTION_ASM_OP) */ + +#if USE_TM_CLONE_REGISTRY + deregister_tm_clones (); +#endif /* USE_TM_CLONE_REGISTRY */ + +#ifdef USE_EH_FRAME_REGISTRY +#ifdef CRT_GET_RFIB_DATA + /* If we used the new __register_frame_info_bases interface, + make sure that we deregister from the same place. */ + if (__deregister_frame_info_bases) + __deregister_frame_info_bases (__EH_FRAME_BEGIN__); +#else + if (__deregister_frame_info) + __deregister_frame_info (__EH_FRAME_BEGIN__); +#endif +#endif + + completed = 1; +} + +/* Stick a call to __do_global_dtors_aux into the .fini section. */ +#ifdef FINI_SECTION_ASM_OP +CRT_CALL_STATIC_FUNCTION (FINI_SECTION_ASM_OP, __do_global_dtors_aux) +#elif defined (FINI_ARRAY_SECTION_ASM_OP) +static func_ptr __do_global_dtors_aux_fini_array_entry[] + __attribute__ ((__used__, section(".fini_array"), aligned(sizeof(func_ptr)))) + = { __do_global_dtors_aux }; +#else /* !FINI_SECTION_ASM_OP && !FINI_ARRAY_SECTION_ASM_OP */ +static void __attribute__((used)) +__do_global_dtors_aux_1 (void) +{ + atexit (__do_global_dtors_aux); +} +CRT_CALL_STATIC_FUNCTION (__LIBGCC_INIT_SECTION_ASM_OP__, + __do_global_dtors_aux_1) +#endif + +#if defined(USE_EH_FRAME_REGISTRY) \ + || defined(__LIBGCC_JCR_SECTION_NAME__) \ + || defined(USE_TM_CLONE_REGISTRY) +/* Stick a call to __register_frame_info into the .init section. For some + reason calls with no arguments work more reliably in .init, so stick the + call in another function. */ + +static void __attribute__((used)) +frame_dummy (void) +{ +#ifdef USE_EH_FRAME_REGISTRY + static struct object object; +#ifdef CRT_GET_RFIB_DATA + void *tbase, *dbase; + tbase = 0; + CRT_GET_RFIB_DATA (dbase); + if (__register_frame_info_bases) + __register_frame_info_bases (__EH_FRAME_BEGIN__, &object, tbase, dbase); +#else + if (__register_frame_info) + __register_frame_info (__EH_FRAME_BEGIN__, &object); +#endif /* CRT_GET_RFIB_DATA */ +#endif /* USE_EH_FRAME_REGISTRY */ + +#ifdef __LIBGCC_JCR_SECTION_NAME__ + void **jcr_list; + __asm ("" : "=g" (jcr_list) : "0" (__JCR_LIST__)); + if (__builtin_expect (*jcr_list != NULL, 0)) + { + void (*register_classes) (void *) = _Jv_RegisterClasses; + __asm ("" : "+r" (register_classes)); + if (register_classes) + register_classes (jcr_list); + } +#endif /* __LIBGCC_JCR_SECTION_NAME__ */ + +#if USE_TM_CLONE_REGISTRY + register_tm_clones (); +#endif /* USE_TM_CLONE_REGISTRY */ +} + +#ifdef __LIBGCC_INIT_SECTION_ASM_OP__ +CRT_CALL_STATIC_FUNCTION (__LIBGCC_INIT_SECTION_ASM_OP__, frame_dummy) +#else /* defined(__LIBGCC_INIT_SECTION_ASM_OP__) */ +static func_ptr __frame_dummy_init_array_entry[] + __attribute__ ((__used__, section(".init_array"), aligned(sizeof(func_ptr)))) + = { frame_dummy }; +#endif /* !defined(__LIBGCC_INIT_SECTION_ASM_OP__) */ +#endif /* USE_EH_FRAME_REGISTRY || __LIBGCC_JCR_SECTION_NAME__ || USE_TM_CLONE_REGISTRY */ + +#else /* OBJECT_FORMAT_ELF */ + +/* The function __do_global_ctors_aux is compiled twice (once in crtbegin.o + and once in crtend.o). It must be declared static to avoid a link + error. Here, we define __do_global_ctors as an externally callable + function. It is externally callable so that __main can invoke it when + INVOKE__main is defined. This has the additional effect of forcing cc1 + to switch to the .text section. */ + +static void __do_global_ctors_aux (void); +void +__do_global_ctors (void) +{ +#ifdef INVOKE__main + /* If __main won't actually call __do_global_ctors then it doesn't matter + what's inside the function. The inside of __do_global_ctors_aux is + called automatically in that case. And the Alliant fx2800 linker + crashes on this reference. So prevent the crash. */ + __do_global_ctors_aux (); +#endif +} + +asm (__LIBGCC_INIT_SECTION_ASM_OP__); /* cc1 doesn't know that we are switching! */ + +/* A routine to invoke all of the global constructors upon entry to the + program. We put this into the .init section (for systems that have + such a thing) so that we can properly perform the construction of + file-scope static-storage C++ objects within shared libraries. */ + +static void __attribute__((used)) +__do_global_ctors_aux (void) /* prologue goes in .init section */ +{ + FORCE_CODE_SECTION_ALIGN /* explicit align before switch to .text */ + asm (__LIBGCC_TEXT_SECTION_ASM_OP__); /* don't put epilogue and body in .init */ + DO_GLOBAL_CTORS_BODY; + atexit (__do_global_dtors); +} + +#endif /* OBJECT_FORMAT_ELF */ + +#elif defined(HAS_INIT_SECTION) /* ! __LIBGCC_INIT_SECTION_ASM_OP__ */ + +extern void __do_global_dtors (void); + +/* This case is used by the Irix 6 port, which supports named sections but + not an SVR4-style .fini section. __do_global_dtors can be non-static + in this case because we protect it with -hidden_symbol. */ + +void +__do_global_dtors (void) +{ + func_ptr *p, f; + for (p = __DTOR_LIST__ + 1; (f = *p); p++) + f (); + +#if USE_TM_CLONE_REGISTRY + deregister_tm_clones (); +#endif /* USE_TM_CLONE_REGISTRY */ + +#ifdef USE_EH_FRAME_REGISTRY + if (__deregister_frame_info) + __deregister_frame_info (__EH_FRAME_BEGIN__); +#endif +} + +#if defined(USE_EH_FRAME_REGISTRY) \ + || defined(__LIBGCC_JCR_SECTION_NAME__) \ + || defined(USE_TM_CLONE_REGISTRY) +/* A helper function for __do_global_ctors, which is in crtend.o. Here + in crtbegin.o, we can reference a couple of symbols not visible there. + Plus, since we're before libgcc.a, we have no problems referencing + functions from there. */ +void +__do_global_ctors_1(void) +{ +#ifdef USE_EH_FRAME_REGISTRY + static struct object object; + if (__register_frame_info) + __register_frame_info (__EH_FRAME_BEGIN__, &object); +#endif + +#ifdef __LIBGCC_JCR_SECTION_NAME__ + void **jcr_list; + __asm ("" : "=g" (jcr_list) : "0" (__JCR_LIST__)); + if (__builtin_expect (*jcr_list != NULL, 0)) + { + void (*register_classes) (void *) = _Jv_RegisterClasses; + __asm ("" : "+r" (register_classes)); + if (register_classes) + register_classes (jcr_list); + } +#endif + +#if USE_TM_CLONE_REGISTRY + register_tm_clones (); +#endif /* USE_TM_CLONE_REGISTRY */ +} +#endif /* USE_EH_FRAME_REGISTRY || __LIBGCC_JCR_SECTION_NAME__ || USE_TM_CLONE_REGISTRY */ + +#else /* ! __LIBGCC_INIT_SECTION_ASM_OP__ && ! HAS_INIT_SECTION */ +#error "What are you doing with crtstuff.c, then?" +#endif + +#elif defined(CRT_END) /* ! CRT_BEGIN */ + +/* No need for .ctors/.dtors section if linker can place them in + .init_array/.fini_array section. */ +#ifndef USE_INITFINI_ARRAY +/* Put a word containing zero at the end of each of our two lists of function + addresses. Note that the words defined here go into the .ctors and .dtors + sections of the crtend.o file, and since that file is always linked in + last, these words naturally end up at the very ends of the two lists + contained in these two sections. */ + +#ifdef CTOR_LIST_END +CTOR_LIST_END; +#elif defined(__LIBGCC_CTORS_SECTION_ASM_OP__) +/* Hack: force cc1 to switch to .data section early, so that assembling + __CTOR_LIST__ does not undo our behind-the-back change to .ctors. */ +static func_ptr force_to_data[1] __attribute__ ((__used__)) = { }; +asm (__LIBGCC_CTORS_SECTION_ASM_OP__); +STATIC func_ptr __CTOR_END__[1] + __attribute__((aligned(sizeof(func_ptr)))) + = { (func_ptr) 0 }; +#else +STATIC func_ptr __CTOR_END__[1] + __attribute__((section(".ctors"), aligned(sizeof(func_ptr)))) + = { (func_ptr) 0 }; +#endif + +#ifdef DTOR_LIST_END +DTOR_LIST_END; +#elif defined(HIDDEN_DTOR_LIST_END) +#ifdef __LIBGCC_DTORS_SECTION_ASM_OP__ +asm (__LIBGCC_DTORS_SECTION_ASM_OP__); +#endif +func_ptr __DTOR_END__[1] + __attribute__ ((used, +#ifndef __LIBGCC_DTORS_SECTION_ASM_OP__ + section(".dtors"), +#endif + aligned(sizeof(func_ptr)), visibility ("hidden"))) + = { (func_ptr) 0 }; +#elif defined(__LIBGCC_DTORS_SECTION_ASM_OP__) +asm (__LIBGCC_DTORS_SECTION_ASM_OP__); +STATIC func_ptr __DTOR_END__[1] + __attribute__ ((used, aligned(sizeof(func_ptr)))) + = { (func_ptr) 0 }; +#else +STATIC func_ptr __DTOR_END__[1] + __attribute__((used, section(".dtors"), aligned(sizeof(func_ptr)))) + = { (func_ptr) 0 }; +#endif +#endif /* USE_INITFINI_ARRAY */ + +#ifdef __LIBGCC_EH_FRAME_SECTION_NAME__ +/* Terminate the frame unwind info section with a 4byte 0 as a sentinel; + this would be the 'length' field in a real FDE. */ +# if __INT_MAX__ == 2147483647 +typedef int int32; +# elif __LONG_MAX__ == 2147483647 +typedef long int32; +# elif __SHRT_MAX__ == 2147483647 +typedef short int32; +# else +# error "Missing a 4 byte integer" +# endif +STATIC EH_FRAME_SECTION_CONST int32 __FRAME_END__[] + __attribute__ ((used, section(__LIBGCC_EH_FRAME_SECTION_NAME__), + aligned(sizeof(int32)))) + = { 0 }; +#endif /* __LIBGCC_EH_FRAME_SECTION_NAME__ */ + +#ifdef __LIBGCC_JCR_SECTION_NAME__ +/* Null terminate the .jcr section array. */ +STATIC void *__JCR_END__[1] + __attribute__ ((used, section(__LIBGCC_JCR_SECTION_NAME__), + aligned(sizeof(void *)))) + = { 0 }; +#endif /* __LIBGCC_JCR_SECTION_NAME__ */ + +#if USE_TM_CLONE_REGISTRY +# ifndef HAVE_GAS_HIDDEN +static +# endif +func_ptr __TMC_END__[] + __attribute__((used, section(".tm_clone_table"), aligned(sizeof(void *)))) +# ifdef HAVE_GAS_HIDDEN + __attribute__((__visibility__ ("hidden"))) = { }; +# else + = { 0, 0 }; +# endif +#endif /* USE_TM_CLONE_REGISTRY */ + +#ifdef __LIBGCC_INIT_ARRAY_SECTION_ASM_OP__ + +/* If we are using .init_array, there is nothing to do. */ + +#elif defined(__LIBGCC_INIT_SECTION_ASM_OP__) + +#ifdef OBJECT_FORMAT_ELF +static void __attribute__((used)) +__do_global_ctors_aux (void) +{ + func_ptr *p; + for (p = __CTOR_END__ - 1; *p != (func_ptr) -1; p--) + (*p) (); +} + +/* Stick a call to __do_global_ctors_aux into the .init section. */ +CRT_CALL_STATIC_FUNCTION (__LIBGCC_INIT_SECTION_ASM_OP__, __do_global_ctors_aux) +#else /* OBJECT_FORMAT_ELF */ + +/* Stick the real initialization code, followed by a normal sort of + function epilogue at the very end of the .init section for this + entire root executable file or for this entire shared library file. + + Note that we use some tricks here to get *just* the body and just + a function epilogue (but no function prologue) into the .init + section of the crtend.o file. Specifically, we switch to the .text + section, start to define a function, and then we switch to the .init + section just before the body code. + + Earlier on, we put the corresponding function prologue into the .init + section of the crtbegin.o file (which will be linked in first). + + Note that we want to invoke all constructors for C++ file-scope static- + storage objects AFTER any other possible initialization actions which + may be performed by the code in the .init section contributions made by + other libraries, etc. That's because those other initializations may + include setup operations for very primitive things (e.g. initializing + the state of the floating-point coprocessor, etc.) which should be done + before we start to execute any of the user's code. */ + +static void +__do_global_ctors_aux (void) /* prologue goes in .text section */ +{ + asm (__LIBGCC_INIT_SECTION_ASM_OP__); + DO_GLOBAL_CTORS_BODY; + atexit (__do_global_dtors); +} /* epilogue and body go in .init section */ + +FORCE_CODE_SECTION_ALIGN +asm (__LIBGCC_TEXT_SECTION_ASM_OP__); + +#endif /* OBJECT_FORMAT_ELF */ + +#elif defined(HAS_INIT_SECTION) /* ! __LIBGCC_INIT_SECTION_ASM_OP__ */ + +extern void __do_global_ctors (void); + +/* This case is used by the Irix 6 port, which supports named sections but + not an SVR4-style .init section. __do_global_ctors can be non-static + in this case because we protect it with -hidden_symbol. */ +void +__do_global_ctors (void) +{ + func_ptr *p; +#if defined(USE_EH_FRAME_REGISTRY) \ + || defined(__LIBGCC_JCR_SECTION_NAME__) \ + || defined(USE_TM_CLONE_REGISTRY) + __do_global_ctors_1(); +#endif + for (p = __CTOR_END__ - 1; *p != (func_ptr) -1; p--) + (*p) (); +} + +#else /* ! __LIBGCC_INIT_SECTION_ASM_OP__ && ! HAS_INIT_SECTION */ +#error "What are you doing with crtstuff.c, then?" +#endif + +#else /* ! CRT_BEGIN && ! CRT_END */ +#error "One of CRT_BEGIN or CRT_END must be defined." +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/dfp-bit.c b/contrib/toolchain/gcc/5x/libgcc/dfp-bit.c new file mode 100644 index 0000000000..e027440c5d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/dfp-bit.c @@ -0,0 +1,680 @@ +/* This is a software decimal floating point library. + Copyright (C) 2005-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This implements IEEE 754 decimal floating point arithmetic, but + does not provide a mechanism for setting the rounding mode, or for + generating or handling exceptions. Conversions between decimal + floating point types and other types depend on C library functions. + + Contributed by Ben Elliston . */ + +#include +#include +/* FIXME: compile with -std=gnu99 to get these from stdlib.h */ +extern float strtof (const char *, char **); +extern long double strtold (const char *, char **); +#include +#include + +#include "dfp-bit.h" + +/* Forward declarations. */ +#if WIDTH == 32 || WIDTH_TO == 32 +void __host_to_ieee_32 (_Decimal32 in, decimal32 *out); +void __ieee_to_host_32 (decimal32 in, _Decimal32 *out); +#endif +#if WIDTH == 64 || WIDTH_TO == 64 +void __host_to_ieee_64 (_Decimal64 in, decimal64 *out); +void __ieee_to_host_64 (decimal64 in, _Decimal64 *out); +#endif +#if WIDTH == 128 || WIDTH_TO == 128 +void __host_to_ieee_128 (_Decimal128 in, decimal128 *out); +void __ieee_to_host_128 (decimal128 in, _Decimal128 *out); +#endif + +/* A pointer to a binary decFloat operation. */ +typedef decFloat* (*dfp_binary_func) + (decFloat *, const decFloat *, const decFloat *, decContext *); + +/* Binary operations. */ + +/* Use a decFloat (decDouble or decQuad) function to perform a DFP + binary operation. */ +static inline decFloat +dfp_binary_op (dfp_binary_func op, decFloat arg_a, decFloat arg_b) +{ + decFloat result; + decContext context; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + + /* Perform the operation. */ + op (&result, &arg_a, &arg_b, &context); + + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + { + /* decNumber exception flags we care about here. */ + int ieee_flags; + int dec_flags = DEC_IEEE_854_Division_by_zero | DEC_IEEE_854_Inexact + | DEC_IEEE_854_Invalid_operation | DEC_IEEE_854_Overflow + | DEC_IEEE_854_Underflow; + dec_flags &= context.status; + ieee_flags = DFP_IEEE_FLAGS (dec_flags); + if (ieee_flags != 0) + DFP_HANDLE_EXCEPTIONS (ieee_flags); + } + + return result; +} + +#if WIDTH == 32 +/* The decNumber package doesn't provide arithmetic for decSingle (32 bits); + convert to decDouble, use the operation for that, and convert back. */ +static inline _Decimal32 +d32_binary_op (dfp_binary_func op, _Decimal32 arg_a, _Decimal32 arg_b) +{ + union { _Decimal32 c; decSingle f; } a32, b32, res32; + decDouble a, b, res; + decContext context; + + /* Widen the operands and perform the operation. */ + a32.c = arg_a; + b32.c = arg_b; + decSingleToWider (&a32.f, &a); + decSingleToWider (&b32.f, &b); + res = dfp_binary_op (op, a, b); + + /* Narrow the result, which might result in an underflow or overflow. */ + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + decSingleFromWider (&res32.f, &res, &context); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + { + /* decNumber exception flags we care about here. */ + int ieee_flags; + int dec_flags = DEC_IEEE_854_Inexact | DEC_IEEE_854_Overflow + | DEC_IEEE_854_Underflow; + dec_flags &= context.status; + ieee_flags = DFP_IEEE_FLAGS (dec_flags); + if (ieee_flags != 0) + DFP_HANDLE_EXCEPTIONS (ieee_flags); + } + + return res32.c; +} +#else +/* decFloat operations are supported for decDouble (64 bits) and + decQuad (128 bits). The bit patterns for the types are the same. */ +static inline DFP_C_TYPE +dnn_binary_op (dfp_binary_func op, DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + union { DFP_C_TYPE c; decFloat f; } a, b, result; + + a.c = arg_a; + b.c = arg_b; + result.f = dfp_binary_op (op, a.f, b.f); + return result.c; +} +#endif + +/* Comparison operations. */ + +/* Use a decFloat (decDouble or decQuad) function to perform a DFP + comparison. */ +static inline CMPtype +dfp_compare_op (dfp_binary_func op, decFloat arg_a, decFloat arg_b) +{ + decContext context; + decFloat res; + int result; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + + /* Perform the comparison. */ + op (&res, &arg_a, &arg_b, &context); + + if (DEC_FLOAT_IS_SIGNED (&res)) + result = -1; + else if (DEC_FLOAT_IS_ZERO (&res)) + result = 0; + else if (DEC_FLOAT_IS_NAN (&res)) + result = -2; + else + result = 1; + + return (CMPtype) result; +} + +#if WIDTH == 32 +/* The decNumber package doesn't provide comparisons for decSingle (32 bits); + convert to decDouble, use the operation for that, and convert back. */ +static inline CMPtype +d32_compare_op (dfp_binary_func op, _Decimal32 arg_a, _Decimal32 arg_b) +{ + union { _Decimal32 c; decSingle f; } a32, b32; + decDouble a, b; + + a32.c = arg_a; + b32.c = arg_b; + decSingleToWider (&a32.f, &a); + decSingleToWider (&b32.f, &b); + return dfp_compare_op (op, a, b); +} +#else +/* decFloat comparisons are supported for decDouble (64 bits) and + decQuad (128 bits). The bit patterns for the types are the same. */ +static inline CMPtype +dnn_compare_op (dfp_binary_func op, DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + union { DFP_C_TYPE c; decFloat f; } a, b; + + a.c = arg_a; + b.c = arg_b; + return dfp_compare_op (op, a.f, b.f); +} +#endif + +#if defined(L_conv_sd) +void +__host_to_ieee_32 (_Decimal32 in, decimal32 *out) +{ + memcpy (out, &in, 4); +} + +void +__ieee_to_host_32 (decimal32 in, _Decimal32 *out) +{ + memcpy (out, &in, 4); +} +#endif /* L_conv_sd */ + +#if defined(L_conv_dd) +void +__host_to_ieee_64 (_Decimal64 in, decimal64 *out) +{ + memcpy (out, &in, 8); +} + +void +__ieee_to_host_64 (decimal64 in, _Decimal64 *out) +{ + memcpy (out, &in, 8); +} +#endif /* L_conv_dd */ + +#if defined(L_conv_td) +void +__host_to_ieee_128 (_Decimal128 in, decimal128 *out) +{ + memcpy (out, &in, 16); +} + +void +__ieee_to_host_128 (decimal128 in, _Decimal128 *out) +{ + memcpy (out, &in, 16); +} +#endif /* L_conv_td */ + +#if defined(L_addsub_sd) || defined(L_addsub_dd) || defined(L_addsub_td) +DFP_C_TYPE +DFP_ADD (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + return DFP_BINARY_OP (DEC_FLOAT_ADD, arg_a, arg_b); +} + +DFP_C_TYPE +DFP_SUB (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + return DFP_BINARY_OP (DEC_FLOAT_SUBTRACT, arg_a, arg_b); +} +#endif /* L_addsub */ + +#if defined(L_mul_sd) || defined(L_mul_dd) || defined(L_mul_td) +DFP_C_TYPE +DFP_MULTIPLY (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + return DFP_BINARY_OP (DEC_FLOAT_MULTIPLY, arg_a, arg_b); +} +#endif /* L_mul */ + +#if defined(L_div_sd) || defined(L_div_dd) || defined(L_div_td) +DFP_C_TYPE +DFP_DIVIDE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + return DFP_BINARY_OP (DEC_FLOAT_DIVIDE, arg_a, arg_b); +} +#endif /* L_div */ + +#if defined (L_eq_sd) || defined (L_eq_dd) || defined (L_eq_td) +CMPtype +DFP_EQ (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + CMPtype stat; + stat = DFP_COMPARE_OP (DEC_FLOAT_COMPARE, arg_a, arg_b); + /* For EQ return zero for true, nonzero for false. */ + return stat != 0; +} +#endif /* L_eq */ + +#if defined (L_ne_sd) || defined (L_ne_dd) || defined (L_ne_td) +CMPtype +DFP_NE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + int stat; + stat = DFP_COMPARE_OP (DEC_FLOAT_COMPARE, arg_a, arg_b); + /* For NE return zero for true, nonzero for false. */ + if (__builtin_expect (stat == -2, 0)) /* An operand is NaN. */ + return 1; + return stat != 0; +} +#endif /* L_ne */ + +#if defined (L_lt_sd) || defined (L_lt_dd) || defined (L_lt_td) +CMPtype +DFP_LT (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + int stat; + stat = DFP_COMPARE_OP (DEC_FLOAT_COMPARE, arg_a, arg_b); + /* For LT return -1 (<0) for true, 1 for false. */ + return (stat == -1) ? -1 : 1; +} +#endif /* L_lt */ + +#if defined (L_gt_sd) || defined (L_gt_dd) || defined (L_gt_td) +CMPtype +DFP_GT (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + int stat; + stat = DFP_COMPARE_OP (DEC_FLOAT_COMPARE, arg_a, arg_b); + /* For GT return 1 (>0) for true, -1 for false. */ + return (stat == 1) ? 1 : -1; +} +#endif + +#if defined (L_le_sd) || defined (L_le_dd) || defined (L_le_td) +CMPtype +DFP_LE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + int stat; + stat = DFP_COMPARE_OP (DEC_FLOAT_COMPARE, arg_a, arg_b); + /* For LE return 0 (<= 0) for true, 1 for false. */ + if (__builtin_expect (stat == -2, 0)) /* An operand is NaN. */ + return 1; + return stat == 1; +} +#endif /* L_le */ + +#if defined (L_ge_sd) || defined (L_ge_dd) || defined (L_ge_td) +CMPtype +DFP_GE (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + int stat; + stat = DFP_COMPARE_OP (DEC_FLOAT_COMPARE, arg_a, arg_b); + /* For GE return 1 (>=0) for true, -1 for false. */ + if (__builtin_expect (stat == -2, 0)) /* An operand is NaN. */ + return -1; + return (stat != -1) ? 1 : -1; +} +#endif /* L_ge */ + +#define BUFMAX 128 + +/* Check for floating point exceptions that are relevant for conversions + between decimal float values and handle them. */ +static inline void +dfp_conversion_exceptions (const int status) +{ + /* decNumber exception flags we care about here. */ + int ieee_flags; + int dec_flags = DEC_IEEE_854_Inexact | DEC_IEEE_854_Invalid_operation + | DEC_IEEE_854_Overflow; + dec_flags &= status; + ieee_flags = DFP_IEEE_FLAGS (dec_flags); + if (ieee_flags != 0) + DFP_HANDLE_EXCEPTIONS (ieee_flags); +} + +#if defined (L_sd_to_dd) +/* Use decNumber to convert directly from _Decimal32 to _Decimal64. */ +_Decimal64 +DFP_TO_DFP (_Decimal32 f_from) +{ + union { _Decimal32 c; decSingle f; } from; + union { _Decimal64 c; decDouble f; } to; + + from.c = f_from; + to.f = *decSingleToWider (&from.f, &to.f); + return to.c; +} +#endif + +#if defined (L_sd_to_td) +/* Use decNumber to convert directly from _Decimal32 to _Decimal128. */ +_Decimal128 +DFP_TO_DFP (_Decimal32 f_from) +{ + union { _Decimal32 c; decSingle f; } from; + union { _Decimal128 c; decQuad f; } to; + decDouble temp; + + from.c = f_from; + temp = *decSingleToWider (&from.f, &temp); + to.f = *decDoubleToWider (&temp, &to.f); + return to.c; +} +#endif + +#if defined (L_dd_to_td) +/* Use decNumber to convert directly from _Decimal64 to _Decimal128. */ +_Decimal128 +DFP_TO_DFP (_Decimal64 f_from) +{ + union { _Decimal64 c; decDouble f; } from; + union { _Decimal128 c; decQuad f; } to; + + from.c = f_from; + to.f = *decDoubleToWider (&from.f, &to.f); + return to.c; +} +#endif + +#if defined (L_dd_to_sd) +/* Use decNumber to convert directly from _Decimal64 to _Decimal32. */ +_Decimal32 +DFP_TO_DFP (_Decimal64 f_from) +{ + union { _Decimal32 c; decSingle f; } to; + union { _Decimal64 c; decDouble f; } from; + decContext context; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + from.c = f_from; + to.f = *decSingleFromWider (&to.f, &from.f, &context); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + return to.c; +} +#endif + +#if defined (L_td_to_sd) +/* Use decNumber to convert directly from _Decimal128 to _Decimal32. */ +_Decimal32 +DFP_TO_DFP (_Decimal128 f_from) +{ + union { _Decimal32 c; decSingle f; } to; + union { _Decimal128 c; decQuad f; } from; + decDouble temp; + decContext context; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + from.c = f_from; + temp = *decDoubleFromWider (&temp, &from.f, &context); + to.f = *decSingleFromWider (&to.f, &temp, &context); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + return to.c; +} +#endif + +#if defined (L_td_to_dd) +/* Use decNumber to convert directly from _Decimal128 to _Decimal64. */ +_Decimal64 +DFP_TO_DFP (_Decimal128 f_from) +{ + union { _Decimal64 c; decDouble f; } to; + union { _Decimal128 c; decQuad f; } from; + decContext context; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + from.c = f_from; + to.f = *decDoubleFromWider (&to.f, &from.f, &context); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + return to.c; +} +#endif + +#if defined (L_dd_to_si) || defined (L_td_to_si) \ + || defined (L_dd_to_usi) || defined (L_td_to_usi) +/* Use decNumber to convert directly from decimal float to integer types. */ +INT_TYPE +DFP_TO_INT (DFP_C_TYPE x) +{ + union { DFP_C_TYPE c; decFloat f; } u; + decContext context; + INT_TYPE i; + + decContextDefault (&context, DEC_INIT_DECIMAL128); + context.round = DEC_ROUND_DOWN; + u.c = x; + i = DEC_FLOAT_TO_INT (&u.f, &context, context.round); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + return i; +} +#endif + +#if defined (L_sd_to_si) || (L_sd_to_usi) +/* Use decNumber to convert directly from decimal float to integer types. */ +INT_TYPE +DFP_TO_INT (_Decimal32 x) +{ + union { _Decimal32 c; decSingle f; } u32; + decDouble f64; + decContext context; + INT_TYPE i; + + decContextDefault (&context, DEC_INIT_DECIMAL128); + context.round = DEC_ROUND_DOWN; + u32.c = x; + f64 = *decSingleToWider (&u32.f, &f64); + i = DEC_FLOAT_TO_INT (&f64, &context, context.round); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + return i; +} +#endif + +#if defined (L_sd_to_di) || defined (L_dd_to_di) || defined (L_td_to_di) \ + || defined (L_sd_to_udi) || defined (L_dd_to_udi) || defined (L_td_to_udi) +/* decNumber doesn't provide support for conversions to 64-bit integer + types, so do it the hard way. */ +INT_TYPE +DFP_TO_INT (DFP_C_TYPE x) +{ + /* decNumber's decimal* types have the same format as C's _Decimal* + types, but they have different calling conventions. */ + + /* TODO: Decimal float to integer conversions should raise FE_INVALID + if the result value does not fit into the result type. */ + + IEEE_TYPE s; + char buf[BUFMAX]; + char *pos; + decNumber qval, n1, n2; + decContext context; + + /* Use a large context to avoid losing precision. */ + decContextDefault (&context, DEC_INIT_DECIMAL128); + /* Need non-default rounding mode here. */ + context.round = DEC_ROUND_DOWN; + + HOST_TO_IEEE (x, &s); + TO_INTERNAL (&s, &n1); + /* Rescale if the exponent is less than zero. */ + decNumberToIntegralValue (&n2, &n1, &context); + /* Get a value to use for the quantize call. */ + decNumberFromString (&qval, "1.", &context); + /* Force the exponent to zero. */ + decNumberQuantize (&n1, &n2, &qval, &context); + /* Get a string, which at this point will not include an exponent. */ + decNumberToString (&n1, buf); + /* Ignore the fractional part. */ + pos = strchr (buf, '.'); + if (pos) + *pos = 0; + /* Use a C library function to convert to the integral type. */ + return STR_TO_INT (buf, NULL, 10); +} +#endif + +#if defined (L_si_to_dd) || defined (L_si_to_td) \ + || defined (L_usi_to_dd) || defined (L_usi_to_td) +/* Use decNumber to convert directly from integer to decimal float types. */ +DFP_C_TYPE +INT_TO_DFP (INT_TYPE i) +{ + union { DFP_C_TYPE c; decFloat f; } u; + + u.f = *DEC_FLOAT_FROM_INT (&u.f, i); + return u.c; +} +#endif + +#if defined (L_si_to_sd) || defined (L_usi_to_sd) +_Decimal32 +/* Use decNumber to convert directly from integer to decimal float types. */ +INT_TO_DFP (INT_TYPE i) +{ + union { _Decimal32 c; decSingle f; } u32; + decDouble f64; + decContext context; + + decContextDefault (&context, DEC_INIT_DECIMAL128); + f64 = *DEC_FLOAT_FROM_INT (&f64, i); + u32.f = *decSingleFromWider (&u32.f, &f64, &context); + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + return u32.c; +} +#endif + +#if defined (L_di_to_sd) || defined (L_di_to_dd) || defined (L_di_to_td) \ + || defined (L_udi_to_sd) || defined (L_udi_to_dd) || defined (L_udi_to_td) +/* decNumber doesn't provide support for conversions from 64-bit integer + types, so do it the hard way. */ +DFP_C_TYPE +INT_TO_DFP (INT_TYPE i) +{ + DFP_C_TYPE f; + IEEE_TYPE s; + char buf[BUFMAX]; + decContext context; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + + /* Use a C library function to get a floating point string. */ + sprintf (buf, INT_FMT ".", CAST_FOR_FMT(i)); + /* Convert from the floating point string to a decimal* type. */ + FROM_STRING (&s, buf, &context); + IEEE_TO_HOST (s, &f); + + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + dfp_conversion_exceptions (context.status); + + return f; +} +#endif + +#if defined (L_sd_to_sf) || defined (L_dd_to_sf) || defined (L_td_to_sf) \ + || defined (L_sd_to_df) || defined (L_dd_to_df) || defined (L_td_to_df) \ + || ((defined (L_sd_to_xf) || defined (L_dd_to_xf) || defined (L_td_to_xf)) \ + && LONG_DOUBLE_HAS_XF_MODE) \ + || ((defined (L_sd_to_tf) || defined (L_dd_to_tf) || defined (L_td_to_tf)) \ + && LONG_DOUBLE_HAS_TF_MODE) +BFP_TYPE +DFP_TO_BFP (DFP_C_TYPE f) +{ + IEEE_TYPE s; + char buf[BUFMAX]; + + HOST_TO_IEEE (f, &s); + /* Write the value to a string. */ + TO_STRING (&s, buf); + /* Read it as the binary floating point type and return that. */ + return STR_TO_BFP (buf, NULL); +} +#endif + +#if defined (L_sf_to_sd) || defined (L_sf_to_dd) || defined (L_sf_to_td) \ + || defined (L_df_to_sd) || defined (L_df_to_dd) || defined (L_df_to_td) \ + || ((defined (L_xf_to_sd) || defined (L_xf_to_dd) || defined (L_xf_to_td)) \ + && LONG_DOUBLE_HAS_XF_MODE) \ + || ((defined (L_tf_to_sd) || defined (L_tf_to_dd) || defined (L_tf_to_td)) \ + && LONG_DOUBLE_HAS_TF_MODE) +DFP_C_TYPE +BFP_TO_DFP (BFP_TYPE x) +{ + DFP_C_TYPE f; + IEEE_TYPE s; + char buf[BUFMAX]; + decContext context; + + decContextDefault (&context, CONTEXT_INIT); + DFP_INIT_ROUNDMODE (context.round); + + /* Use a C library function to write the floating point value to a string. */ + sprintf (buf, BFP_FMT, (BFP_VIA_TYPE) x); + + /* Convert from the floating point string to a decimal* type. */ + FROM_STRING (&s, buf, &context); + IEEE_TO_HOST (s, &f); + + if (DFP_EXCEPTIONS_ENABLED && context.status != 0) + { + /* decNumber exception flags we care about here. */ + int ieee_flags; + int dec_flags = DEC_IEEE_854_Inexact | DEC_IEEE_854_Invalid_operation + | DEC_IEEE_854_Overflow | DEC_IEEE_854_Underflow; + dec_flags &= context.status; + ieee_flags = DFP_IEEE_FLAGS (dec_flags); + if (ieee_flags != 0) + DFP_HANDLE_EXCEPTIONS (ieee_flags); + } + + return f; +} +#endif + +#if defined (L_unord_sd) || defined (L_unord_dd) || defined (L_unord_td) +CMPtype +DFP_UNORD (DFP_C_TYPE arg_a, DFP_C_TYPE arg_b) +{ + decNumber arg1, arg2; + IEEE_TYPE a, b; + + HOST_TO_IEEE (arg_a, &a); + HOST_TO_IEEE (arg_b, &b); + TO_INTERNAL (&a, &arg1); + TO_INTERNAL (&b, &arg2); + return (decNumberIsNaN (&arg1) || decNumberIsNaN (&arg2)); +} +#endif /* L_unord_sd || L_unord_dd || L_unord_td */ diff --git a/contrib/toolchain/gcc/5x/libgcc/dfp-bit.h b/contrib/toolchain/gcc/5x/libgcc/dfp-bit.h new file mode 100644 index 0000000000..aa0d405ad4 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/dfp-bit.h @@ -0,0 +1,628 @@ +/* Header file for dfp-bit.c. + Copyright (C) 2005-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _DFPBIT_H +#define _DFPBIT_H + +#include +#include +#include +#include +#include "tconfig.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +/* We need to know the size of long double that the C library supports. + Don't use LIBGCC2_HAS_XF_MODE or LIBGCC2_HAS_TF_MODE here because + some targets set both of those. */ + +#ifndef __LIBGCC_XF_MANT_DIG__ +#define __LIBGCC_XF_MANT_DIG__ 0 +#endif +#define LONG_DOUBLE_HAS_XF_MODE \ + (__LDBL_MANT_DIG__ == __LIBGCC_XF_MANT_DIG__) + +#ifndef __LIBGCC_TF_MANT_DIG__ +#define __LIBGCC_TF_MANT_DIG__ 0 +#endif +#define LONG_DOUBLE_HAS_TF_MODE \ + (__LDBL_MANT_DIG__ == __LIBGCC_TF_MANT_DIG__) + +/* Depending on WIDTH, define a number of macros: + + DFP_C_TYPE: type of the arguments to the libgcc functions; + (eg _Decimal32) + + IEEE_TYPE: the corresponding (encoded) IEEE754 type; + (eg decimal32) + + TO_INTERNAL: the name of the decNumber function to convert an + encoded value into the decNumber internal representation; + + TO_ENCODED: the name of the decNumber function to convert an + internally represented decNumber into the encoded + representation. + + FROM_STRING: the name of the decNumber function to read an + encoded value from a string. + + TO_STRING: the name of the decNumber function to write an + encoded value to a string. */ + +#if WIDTH == 32 +#define DFP_C_TYPE _Decimal32 +#define IEEE_TYPE decimal32 +#define HOST_TO_IEEE __host_to_ieee_32 +#define IEEE_TO_HOST __ieee_to_host_32 +#define TO_INTERNAL __decimal32ToNumber +#define TO_ENCODED __decimal32FromNumber +#define FROM_STRING __decimal32FromString +#define TO_STRING __decimal32ToString +#elif WIDTH == 64 +#define DFP_C_TYPE _Decimal64 +#define IEEE_TYPE decimal64 +#define HOST_TO_IEEE __host_to_ieee_64 +#define IEEE_TO_HOST __ieee_to_host_64 +#define TO_INTERNAL __decimal64ToNumber +#define TO_ENCODED __decimal64FromNumber +#define FROM_STRING __decimal64FromString +#define TO_STRING __decimal64ToString +#elif WIDTH == 128 +#define DFP_C_TYPE _Decimal128 +#define IEEE_TYPE decimal128 +#define HOST_TO_IEEE __host_to_ieee_128 +#define IEEE_TO_HOST __ieee_to_host_128 +#define TO_INTERNAL __decimal128ToNumber +#define TO_ENCODED __decimal128FromNumber +#define FROM_STRING __decimal128FromString +#define TO_STRING __decimal128ToString +#else +#error invalid decimal float word width +#endif + +/* We define __DEC_EVAL_METHOD__ to 2, saying that we evaluate all + operations and constants to the range and precision of the _Decimal128 + type. Make it so. */ +#if WIDTH == 32 +#define CONTEXT_INIT DEC_INIT_DECIMAL32 +#elif WIDTH == 64 +#define CONTEXT_INIT DEC_INIT_DECIMAL64 +#elif WIDTH == 128 +#define CONTEXT_INIT DEC_INIT_DECIMAL128 +#endif + +#ifndef DFP_INIT_ROUNDMODE +#define DFP_INIT_ROUNDMODE(A) A = DEC_ROUND_HALF_EVEN +#endif + +#ifdef DFP_EXCEPTIONS_ENABLED +/* Return IEEE exception flags based on decNumber status flags. */ +#define DFP_IEEE_FLAGS(DEC_FLAGS) __extension__ \ +({int _fe_flags = 0; \ + if ((dec_flags & DEC_IEEE_854_Division_by_zero) != 0) \ + _fe_flags |= FE_DIVBYZERO; \ + if ((dec_flags & DEC_IEEE_854_Inexact) != 0) \ + _fe_flags |= FE_INEXACT; \ + if ((dec_flags & DEC_IEEE_854_Invalid_operation) != 0) \ + _fe_flags |= FE_INVALID; \ + if ((dec_flags & DEC_IEEE_854_Overflow) != 0) \ + _fe_flags |= FE_OVERFLOW; \ + if ((dec_flags & DEC_IEEE_854_Underflow) != 0) \ + _fe_flags |= FE_UNDERFLOW; \ + _fe_flags; }) +#else +#define DFP_EXCEPTIONS_ENABLED 0 +#define DFP_IEEE_FLAGS(A) 0 +#define DFP_HANDLE_EXCEPTIONS(A) do {} while (0) +#endif + +/* Conversions between different decimal float types use WIDTH_TO to + determine additional macros to define. */ + +#if defined (L_dd_to_sd) || defined (L_td_to_sd) +#define WIDTH_TO 32 +#elif defined (L_sd_to_dd) || defined (L_td_to_dd) +#define WIDTH_TO 64 +#elif defined (L_sd_to_td) || defined (L_dd_to_td) +#define WIDTH_TO 128 +#endif + +/* If WIDTH_TO is defined, define additional macros: + + DFP_C_TYPE_TO: type of the result of dfp to dfp conversion. + + IEEE_TYPE_TO: the corresponding (encoded) IEEE754 type. + + TO_ENCODED_TO: the name of the decNumber function to convert an + internally represented decNumber into the encoded representation + for the destination. */ + +#if WIDTH_TO == 32 +#define DFP_C_TYPE_TO _Decimal32 +#define IEEE_TYPE_TO decimal32 +#define TO_ENCODED_TO __decimal32FromNumber +#define IEEE_TO_HOST_TO __ieee_to_host_32 +#elif WIDTH_TO == 64 +#define DFP_C_TYPE_TO _Decimal64 +#define IEEE_TYPE_TO decimal64 +#define TO_ENCODED_TO __decimal64FromNumber +#define IEEE_TO_HOST_TO __ieee_to_host_64 +#elif WIDTH_TO == 128 +#define DFP_C_TYPE_TO _Decimal128 +#define IEEE_TYPE_TO decimal128 +#define TO_ENCODED_TO __decimal128FromNumber +#define IEEE_TO_HOST_TO __ieee_to_host_128 +#endif + +/* Conversions between decimal float types and integral types use INT_KIND + to determine the data type and C functions to use. */ + +#if defined (L_sd_to_si) || defined (L_dd_to_si) || defined (L_td_to_si) \ + || defined (L_si_to_sd) || defined (L_si_to_dd) || defined (L_si_to_td) +#define INT_KIND 1 +#elif defined (L_sd_to_di) || defined (L_dd_to_di) || defined (L_td_to_di) \ + || defined (L_di_to_sd) || defined (L_di_to_dd) || defined (L_di_to_td) +#define INT_KIND 2 +#elif defined (L_sd_to_usi) || defined (L_dd_to_usi) || defined (L_td_to_usi) \ + || defined (L_usi_to_sd) || defined (L_usi_to_dd) || defined (L_usi_to_td) +#define INT_KIND 3 +#elif defined (L_sd_to_udi) || defined (L_dd_to_udi) || defined (L_td_to_udi) \ + || defined (L_udi_to_sd) || defined (L_udi_to_dd) || defined (L_udi_to_td) +#define INT_KIND 4 +#endif + +/* If INT_KIND is defined, define additional macros: + + INT_TYPE: The integer data type. + + INT_FMT: The format string for writing the integer to a string. + + CAST_FOR_FMT: Cast variable of INT_KIND to C type for sprintf. + This works for ILP32 and LP64, won't for other type size systems. + + STR_TO_INT: The function to read the integer from a string. */ + +#if INT_KIND == 1 +#define INT_TYPE SItype +#define INT_FMT "%d" +#define CAST_FOR_FMT(A) (int)A +#define STR_TO_INT strtol +#elif INT_KIND == 2 +#define INT_TYPE DItype +#define INT_FMT "%lld" +#define CAST_FOR_FMT(A) (long long)A +#define STR_TO_INT strtoll +#elif INT_KIND == 3 +#define INT_TYPE USItype +#define INT_FMT "%u" +#define CAST_FOR_FMT(A) (unsigned int)A +#define STR_TO_INT strtoul +#elif INT_KIND == 4 +#define INT_TYPE UDItype +#define INT_FMT "%llu" +#define CAST_FOR_FMT(A) (unsigned long long)A +#define STR_TO_INT strtoull +#endif + +/* Conversions between decimal float types and binary float types use + BFP_KIND to determine the data type and C functions to use. */ + +#if defined (L_sd_to_sf) || defined (L_dd_to_sf) || defined (L_td_to_sf) \ + || defined (L_sf_to_sd) || defined (L_sf_to_dd) || defined (L_sf_to_td) +#define BFP_KIND 1 +#elif defined (L_sd_to_df) || defined (L_dd_to_df ) || defined (L_td_to_df) \ + || defined (L_df_to_sd) || defined (L_df_to_dd) || defined (L_df_to_td) +#define BFP_KIND 2 +#elif defined (L_sd_to_xf) || defined (L_dd_to_xf ) || defined (L_td_to_xf) \ + || defined (L_xf_to_sd) || defined (L_xf_to_dd) || defined (L_xf_to_td) +#define BFP_KIND 3 +#elif defined (L_sd_to_tf) || defined (L_dd_to_tf) || defined (L_td_to_tf) \ + || defined (L_tf_to_sd) || defined (L_tf_to_dd) || defined (L_tf_to_td) +#define BFP_KIND 4 +#endif + +/* If BFP_KIND is defined, define additional macros: + + BFP_TYPE: The binary floating point data type. + + BFP_FMT: The format string for writing the value to a string. + The number of decimal digits printed is + ceil (nbits / log2 (10.) + 1) + as described in David Matula's CACM 19(3) 716-723 June 1968 paper. + + BFP_VIA_TYPE: Type to which to cast a variable of BPF_TYPE for a + call to sprintf. + + STR_TO_BFP: The function to read the value from a string. */ + +#if BFP_KIND == 1 +#define BFP_TYPE SFtype +#define BFP_FMT "%.9e" +#define BFP_VIA_TYPE double +#define STR_TO_BFP strtof + +#elif BFP_KIND == 2 +#define BFP_TYPE DFtype +#define BFP_FMT "%.17e" +#define BFP_VIA_TYPE double +#define STR_TO_BFP strtod + +#elif BFP_KIND == 3 +#if LONG_DOUBLE_HAS_XF_MODE +#define BFP_TYPE XFtype +#define BFP_FMT "%.21Le" +#define BFP_VIA_TYPE long double +#define STR_TO_BFP strtold +#endif /* LONG_DOUBLE_HAS_XF_MODE */ + +#elif BFP_KIND == 4 +#if LONG_DOUBLE_HAS_TF_MODE +#define BFP_TYPE TFtype +#if LDBL_MANT_DIG == 106 +#define BFP_FMT "%.33Le" +#elif LDBL_MANT_DIG == 113 +#define BFP_FMT "%.36Le" +#else +#error "unknown long double size, cannot define BFP_FMT" +#endif /* LDBL_MANT_DIG */ +#define STR_TO_BFP strtold +#define BFP_VIA_TYPE long double +#endif /* LONG_DOUBLE_HAS_TF_MODE */ + +#endif /* BFP_KIND */ + +#if WIDTH == 128 || WIDTH_TO == 128 +#include "decimal128.h" +#include "decQuad.h" +#endif +#if WIDTH == 64 || WIDTH_TO == 64 +#include "decimal64.h" +#include "decDouble.h" +#endif +#if WIDTH == 32 || WIDTH_TO == 32 +#include "decimal32.h" +#include "decSingle.h" +#endif +#include "decNumber.h" + +/* Names of arithmetic functions. */ + +#if ENABLE_DECIMAL_BID_FORMAT +#define DPD_BID_NAME(DPD,BID) BID +#else +#define DPD_BID_NAME(DPD,BID) DPD +#endif + +#if WIDTH == 32 +#define DFP_ADD DPD_BID_NAME(__dpd_addsd3,__bid_addsd3) +#define DFP_SUB DPD_BID_NAME(__dpd_subsd3,__bid_subsd3) +#define DFP_MULTIPLY DPD_BID_NAME(__dpd_mulsd3,__bid_mulsd3) +#define DFP_DIVIDE DPD_BID_NAME(__dpd_divsd3,__bid_divsd3) +#define DFP_EQ DPD_BID_NAME(__dpd_eqsd2,__bid_eqsd2) +#define DFP_NE DPD_BID_NAME(__dpd_nesd2,__bid_nesd2) +#define DFP_LT DPD_BID_NAME(__dpd_ltsd2,__bid_ltsd2) +#define DFP_GT DPD_BID_NAME(__dpd_gtsd2,__bid_gtsd2) +#define DFP_LE DPD_BID_NAME(__dpd_lesd2,__bid_lesd2) +#define DFP_GE DPD_BID_NAME(__dpd_gesd2,__bid_gesd2) +#define DFP_UNORD DPD_BID_NAME(__dpd_unordsd2,__bid_unordsd2) +#elif WIDTH == 64 +#define DFP_ADD DPD_BID_NAME(__dpd_adddd3,__bid_adddd3) +#define DFP_SUB DPD_BID_NAME(__dpd_subdd3,__bid_subdd3) +#define DFP_MULTIPLY DPD_BID_NAME(__dpd_muldd3,__bid_muldd3) +#define DFP_DIVIDE DPD_BID_NAME(__dpd_divdd3,__bid_divdd3) +#define DFP_EQ DPD_BID_NAME(__dpd_eqdd2,__bid_eqdd2) +#define DFP_NE DPD_BID_NAME(__dpd_nedd2,__bid_nedd2) +#define DFP_LT DPD_BID_NAME(__dpd_ltdd2,__bid_ltdd2) +#define DFP_GT DPD_BID_NAME(__dpd_gtdd2,__bid_gtdd2) +#define DFP_LE DPD_BID_NAME(__dpd_ledd2,__bid_ledd2) +#define DFP_GE DPD_BID_NAME(__dpd_gedd2,__bid_gedd2) +#define DFP_UNORD DPD_BID_NAME(__dpd_unorddd2,__bid_unorddd2) +#elif WIDTH == 128 +#define DFP_ADD DPD_BID_NAME(__dpd_addtd3,__bid_addtd3) +#define DFP_SUB DPD_BID_NAME(__dpd_subtd3,__bid_subtd3) +#define DFP_MULTIPLY DPD_BID_NAME(__dpd_multd3,__bid_multd3) +#define DFP_DIVIDE DPD_BID_NAME(__dpd_divtd3,__bid_divtd3) +#define DFP_EQ DPD_BID_NAME(__dpd_eqtd2,__bid_eqtd2) +#define DFP_NE DPD_BID_NAME(__dpd_netd2,__bid_netd2) +#define DFP_LT DPD_BID_NAME(__dpd_lttd2,__bid_lttd2) +#define DFP_GT DPD_BID_NAME(__dpd_gttd2,__bid_gttd2) +#define DFP_LE DPD_BID_NAME(__dpd_letd2,__bid_letd2) +#define DFP_GE DPD_BID_NAME(__dpd_getd2,__bid_getd2) +#define DFP_UNORD DPD_BID_NAME(__dpd_unordtd2,__bid_unordtd2) +#endif + +/* Names of decNumber functions for DPD arithmetic. */ + +#if WIDTH == 32 +#define decFloat decDouble +#define DFP_BINARY_OP d32_binary_op +#define DFP_COMPARE_OP d32_compare_op +#define DEC_FLOAT_ADD decDoubleAdd +#define DEC_FLOAT_SUBTRACT decDoubleSubtract +#define DEC_FLOAT_MULTIPLY decDoubleMultiply +#define DEC_FLOAT_DIVIDE decDoubleDivide +#define DEC_FLOAT_COMPARE decDoubleCompare +#define DEC_FLOAT_IS_ZERO decDoubleIsZero +#define DEC_FLOAT_IS_NAN decDoubleIsNaN +#define DEC_FLOAT_IS_SIGNED decDoubleIsSigned +#elif WIDTH == 64 +#define DFP_BINARY_OP dnn_binary_op +#define DFP_COMPARE_OP dnn_compare_op +#define decFloat decDouble +#define DEC_FLOAT_ADD decDoubleAdd +#define DEC_FLOAT_SUBTRACT decDoubleSubtract +#define DEC_FLOAT_MULTIPLY decDoubleMultiply +#define DEC_FLOAT_DIVIDE decDoubleDivide +#define DEC_FLOAT_COMPARE decDoubleCompare +#define DEC_FLOAT_IS_ZERO decDoubleIsZero +#define DEC_FLOAT_IS_NAN decDoubleIsNaN +#define DEC_FLOAT_IS_SIGNED decDoubleIsSigned +#elif WIDTH == 128 +#define DFP_BINARY_OP dnn_binary_op +#define DFP_COMPARE_OP dnn_compare_op +#define decFloat decQuad +#define DEC_FLOAT_ADD decQuadAdd +#define DEC_FLOAT_SUBTRACT decQuadSubtract +#define DEC_FLOAT_MULTIPLY decQuadMultiply +#define DEC_FLOAT_DIVIDE decQuadDivide +#define DEC_FLOAT_COMPARE decQuadCompare +#define DEC_FLOAT_IS_ZERO decQuadIsZero +#define DEC_FLOAT_IS_NAN decQuadIsNaN +#define DEC_FLOAT_IS_SIGNED decQuadIsSigned +#endif + +/* Names of functions to convert between different decimal float types. */ + +#if WIDTH == 32 +#if WIDTH_TO == 64 +#define DFP_TO_DFP DPD_BID_NAME(__dpd_extendsddd2,__bid_extendsddd2) +#elif WIDTH_TO == 128 +#define DFP_TO_DFP DPD_BID_NAME(__dpd_extendsdtd2,__bid_extendsdtd2) +#endif +#elif WIDTH == 64 +#if WIDTH_TO == 32 +#define DFP_TO_DFP DPD_BID_NAME(__dpd_truncddsd2,__bid_truncddsd2) +#elif WIDTH_TO == 128 +#define DFP_TO_DFP DPD_BID_NAME(__dpd_extendddtd2,__bid_extendddtd2) +#endif +#elif WIDTH == 128 +#if WIDTH_TO == 32 +#define DFP_TO_DFP DPD_BID_NAME(__dpd_trunctdsd2,__bid_trunctdsd2) +#elif WIDTH_TO == 64 +#define DFP_TO_DFP DPD_BID_NAME(__dpd_trunctddd2,__bid_trunctddd2) +#endif +#endif + +/* Names of functions to convert between decimal float and integers. */ + +#if WIDTH == 32 +#if INT_KIND == 1 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatsisd,__bid_floatsisd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixsdsi,__bid_fixsdsi) +#define DEC_FLOAT_FROM_INT decDoubleFromInt32 +#define DEC_FLOAT_TO_INT decDoubleToInt32 +#elif INT_KIND == 2 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatdisd,__bid_floatdisd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixsddi,__bid_fixsddi) +#elif INT_KIND == 3 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatunssisd,__bid_floatunssisd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixunssdsi,__bid_fixunssdsi) +#define DEC_FLOAT_FROM_INT decDoubleFromUInt32 +#define DEC_FLOAT_TO_INT decDoubleToUInt32 +#elif INT_KIND == 4 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatunsdisd,__bid_floatunsdisd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixunssddi,__bid_fixunssddi) +#endif +#elif WIDTH == 64 +#define decFloat decDouble +#if INT_KIND == 1 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatsidd,__bid_floatsidd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixddsi,__bid_fixddsi) +#define DEC_FLOAT_FROM_INT decDoubleFromInt32 +#define DEC_FLOAT_TO_INT decDoubleToInt32 +#elif INT_KIND == 2 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatdidd,__bid_floatdidd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixdddi,__bid_fixdddi) +#elif INT_KIND == 3 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatunssidd,__bid_floatunssidd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixunsddsi,__bid_fixunsddsi) +#define DEC_FLOAT_FROM_INT decDoubleFromUInt32 +#define DEC_FLOAT_TO_INT decDoubleToUInt32 +#elif INT_KIND == 4 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatunsdidd,__bid_floatunsdidd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixunsdddi,__bid_fixunsdddi) +#endif +#elif WIDTH == 128 +#define decFloat decQuad +#if INT_KIND == 1 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatsitd,__bid_floatsitd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixtdsi,__bid_fixtdsi) +#define DEC_FLOAT_FROM_INT decQuadFromInt32 +#define DEC_FLOAT_TO_INT decQuadToInt32 +#elif INT_KIND == 2 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatditd,__bid_floatditd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixtddi,__bid_fixtddi) +#elif INT_KIND == 3 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatunssitd,__bid_floatunssitd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixunstdsi,__bid_fixunstdsi) +#define DEC_FLOAT_FROM_INT decQuadFromUInt32 +#define DEC_FLOAT_TO_INT decQuadToUInt32 +#elif INT_KIND == 4 +#define INT_TO_DFP DPD_BID_NAME(__dpd_floatunsditd,__bid_floatunsditd) +#define DFP_TO_INT DPD_BID_NAME(__dpd_fixunstddi,__bid_fixunstddi) +#endif +#endif + +/* Names of functions to convert between decimal float and binary float. */ + +#if WIDTH == 32 +#if BFP_KIND == 1 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extendsfsd,__bid_extendsfsd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_truncsdsf,__bid_truncsdsf) +#elif BFP_KIND == 2 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_truncdfsd,__bid_truncdfsd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_extendsddf,__bid_extendsddf) +#elif BFP_KIND == 3 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_truncxfsd,__bid_truncxfsd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_extendsdxf,__bid_extendsdxf) +#elif BFP_KIND == 4 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_trunctfsd,__bid_trunctfsd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_extendsdtf,__bid_extendsdtf) +#endif /* BFP_KIND */ + +#elif WIDTH == 64 +#if BFP_KIND == 1 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extendsfdd,__bid_extendsfdd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_truncddsf,__bid_truncddsf) +#elif BFP_KIND == 2 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extenddfdd,__bid_extenddfdd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_truncdddf,__bid_truncdddf) +#elif BFP_KIND == 3 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_truncxfdd,__bid_truncxfdd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_extendddxf,__bid_extendddxf) +#elif BFP_KIND == 4 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_trunctfdd,__bid_trunctfdd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_extendddtf,__bid_extendddtf) +#endif /* BFP_KIND */ + +#elif WIDTH == 128 +#if BFP_KIND == 1 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extendsftd,__bid_extendsftd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_trunctdsf,__bid_trunctdsf) +#elif BFP_KIND == 2 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extenddftd,__bid_extenddftd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_trunctddf,__bid_trunctddf) +#elif BFP_KIND == 3 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extendxftd,__bid_extendxftd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_trunctdxf,__bid_trunctdxf) +#elif BFP_KIND == 4 +#define BFP_TO_DFP DPD_BID_NAME(__dpd_extendtftd,__bid_extendtftd) +#define DFP_TO_BFP DPD_BID_NAME(__dpd_trunctdtf,__bid_trunctdtf) +#endif /* BFP_KIND */ + +#endif /* WIDTH */ + +/* Some handy typedefs. */ + +typedef float SFtype __attribute__ ((mode (SF))); +typedef float DFtype __attribute__ ((mode (DF))); +#if LONG_DOUBLE_HAS_XF_MODE +typedef float XFtype __attribute__ ((mode (XF))); +#endif /* LONG_DOUBLE_HAS_XF_MODE */ +#if LONG_DOUBLE_HAS_TF_MODE +typedef float TFtype __attribute__ ((mode (TF))); +#endif /* LONG_DOUBLE_HAS_TF_MODE */ + +typedef int SItype __attribute__ ((mode (SI))); +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); + +/* The type of the result of a decimal float comparison. This must + match `__libgcc_cmp_return__' in GCC for the target. */ + +typedef int CMPtype __attribute__ ((mode (__libgcc_cmp_return__))); + +/* Prototypes. */ + +#if defined (L_mul_sd) || defined (L_mul_dd) || defined (L_mul_td) +extern DFP_C_TYPE DFP_MULTIPLY (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_div_sd) || defined (L_div_dd) || defined (L_div_td) +extern DFP_C_TYPE DFP_DIVIDE (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_addsub_sd) || defined (L_addsub_dd) || defined (L_addsub_td) +extern DFP_C_TYPE DFP_ADD (DFP_C_TYPE, DFP_C_TYPE); +extern DFP_C_TYPE DFP_SUB (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_eq_sd) || defined (L_eq_dd) || defined (L_eq_td) +extern CMPtype DFP_EQ (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_ne_sd) || defined (L_ne_dd) || defined (L_ne_td) +extern CMPtype DFP_NE (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_lt_sd) || defined (L_lt_dd) || defined (L_lt_td) +extern CMPtype DFP_LT (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_gt_sd) || defined (L_gt_dd) || defined (L_gt_td) +extern CMPtype DFP_GT (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_le_sd) || defined (L_le_dd) || defined (L_le_td) +extern CMPtype DFP_LE (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_ge_sd) || defined (L_ge_dd) || defined (L_ge_td) +extern CMPtype DFP_GE (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_unord_sd) || defined (L_unord_dd) || defined (L_unord_td) +extern CMPtype DFP_UNORD (DFP_C_TYPE, DFP_C_TYPE); +#endif + +#if defined (L_sd_to_dd) || defined (L_sd_to_td) || defined (L_dd_to_sd) \ + || defined (L_dd_to_td) || defined (L_td_to_sd) || defined (L_td_to_dd) +extern DFP_C_TYPE_TO DFP_TO_DFP (DFP_C_TYPE); +#endif + +#if defined (L_sd_to_si) || defined (L_dd_to_si) || defined (L_td_to_si) \ + || defined (L_sd_to_di) || defined (L_dd_to_di) || defined (L_td_to_di) \ + || defined (L_sd_to_usi) || defined (L_dd_to_usi) || defined (L_td_to_usi) \ + || defined (L_sd_to_udi) || defined (L_dd_to_udi) || defined (L_td_to_udi) +extern INT_TYPE DFP_TO_INT (DFP_C_TYPE); +#endif + +#if defined (L_si_to_sd) || defined (L_si_to_dd) || defined (L_si_to_td) \ + || defined (L_di_to_sd) || defined (L_di_to_dd) || defined (L_di_to_td) \ + || defined (L_usi_to_sd) || defined (L_usi_to_dd) || defined (L_usi_to_td) \ + || defined (L_udi_to_sd) || defined (L_udi_to_dd) || defined (L_udi_to_td) +extern DFP_C_TYPE INT_TO_DFP (INT_TYPE); +#endif + +#if defined (L_sd_to_sf) || defined (L_dd_to_sf) || defined (L_td_to_sf) \ + || defined (L_sd_to_df) || defined (L_dd_to_df) || defined (L_td_to_df) \ + || ((defined (L_sd_to_xf) || defined (L_dd_to_xf) || defined (L_td_to_xf)) \ + && LONG_DOUBLE_HAS_XF_MODE) \ + || ((defined (L_sd_to_tf) || defined (L_dd_to_tf) || defined (L_td_to_tf)) \ + && LONG_DOUBLE_HAS_TF_MODE) +extern BFP_TYPE DFP_TO_BFP (DFP_C_TYPE); +#endif + +#if defined (L_sf_to_sd) || defined (L_sf_to_dd) || defined (L_sf_to_td) \ + || defined (L_df_to_sd) || defined (L_df_to_dd) || defined (L_df_to_td) \ + || ((defined (L_xf_to_sd) || defined (L_xf_to_dd) || defined (L_xf_to_td)) \ + && LONG_DOUBLE_HAS_XF_MODE) \ + || ((defined (L_tf_to_sd) || defined (L_tf_to_dd) || defined (L_tf_to_td)) \ + && LONG_DOUBLE_HAS_TF_MODE) +extern DFP_C_TYPE BFP_TO_DFP (BFP_TYPE); +#endif + +#endif /* _DFPBIT_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/divmod.c b/contrib/toolchain/gcc/5x/libgcc/divmod.c new file mode 100644 index 0000000000..5a058690ca --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/divmod.c @@ -0,0 +1,73 @@ +/* Copyright (C) 2000-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +long udivmodsi4 (); + +long +__divsi3 (long a, long b) +{ + int neg = 0; + long res; + + if (a < 0) + { + a = -a; + neg = !neg; + } + + if (b < 0) + { + b = -b; + neg = !neg; + } + + res = udivmodsi4 (a, b, 0); + + if (neg) + res = -res; + + return res; +} + +long +__modsi3 (long a, long b) +{ + int neg = 0; + long res; + + if (a < 0) + { + a = -a; + neg = 1; + } + + if (b < 0) + b = -b; + + res = udivmodsi4 (a, b, 1); + + if (neg) + res = -res; + + return res; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/emutls.c b/contrib/toolchain/gcc/5x/libgcc/emutls.c new file mode 100644 index 0000000000..3eab33fd30 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/emutls.c @@ -0,0 +1,203 @@ +/* TLS emulation. + Copyright (C) 2006-2015 Free Software Foundation, Inc. + Contributed by Jakub Jelinek . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "gthr.h" + +typedef unsigned int word __attribute__((mode(word))); +typedef unsigned int pointer __attribute__((mode(pointer))); + +struct __emutls_object +{ + word size; + word align; + union { + pointer offset; + void *ptr; + } loc; + void *templ; +}; + +struct __emutls_array +{ + pointer size; + void **data[]; +}; + +void *__emutls_get_address (struct __emutls_object *); +void __emutls_register_common (struct __emutls_object *, word, word, void *); + +#ifdef __GTHREADS +#ifdef __GTHREAD_MUTEX_INIT +static __gthread_mutex_t emutls_mutex = __GTHREAD_MUTEX_INIT; +#else +static __gthread_mutex_t emutls_mutex; +#endif +static __gthread_key_t emutls_key; +static pointer emutls_size; + +static void +emutls_destroy (void *ptr) +{ + struct __emutls_array *arr = ptr; + pointer size = arr->size; + pointer i; + + for (i = 0; i < size; ++i) + { + if (arr->data[i]) + free (arr->data[i][-1]); + } + + free (ptr); +} + +static void +emutls_init (void) +{ +#ifndef __GTHREAD_MUTEX_INIT + __GTHREAD_MUTEX_INIT_FUNCTION (&emutls_mutex); +#endif + if (__gthread_key_create (&emutls_key, emutls_destroy) != 0) + abort (); +} +#endif + +static void * +emutls_alloc (struct __emutls_object *obj) +{ + void *ptr; + void *ret; + + /* We could use here posix_memalign if available and adjust + emutls_destroy accordingly. */ + if (obj->align <= sizeof (void *)) + { + ptr = malloc (obj->size + sizeof (void *)); + if (ptr == NULL) + abort (); + ((void **) ptr)[0] = ptr; + ret = ptr + sizeof (void *); + } + else + { + ptr = malloc (obj->size + sizeof (void *) + obj->align - 1); + if (ptr == NULL) + abort (); + ret = (void *) (((pointer) (ptr + sizeof (void *) + obj->align - 1)) + & ~(pointer)(obj->align - 1)); + ((void **) ret)[-1] = ptr; + } + + if (obj->templ) + memcpy (ret, obj->templ, obj->size); + else + memset (ret, 0, obj->size); + + return ret; +} + +void * +__emutls_get_address (struct __emutls_object *obj) +{ + if (! __gthread_active_p ()) + { + if (__builtin_expect (obj->loc.ptr == NULL, 0)) + obj->loc.ptr = emutls_alloc (obj); + return obj->loc.ptr; + } + +#ifndef __GTHREADS + abort (); +#else + pointer offset = __atomic_load_n (&obj->loc.offset, __ATOMIC_ACQUIRE); + + if (__builtin_expect (offset == 0, 0)) + { + static __gthread_once_t once = __GTHREAD_ONCE_INIT; + __gthread_once (&once, emutls_init); + __gthread_mutex_lock (&emutls_mutex); + offset = obj->loc.offset; + if (offset == 0) + { + offset = ++emutls_size; + __atomic_store_n (&obj->loc.offset, offset, __ATOMIC_RELEASE); + } + __gthread_mutex_unlock (&emutls_mutex); + } + + struct __emutls_array *arr = __gthread_getspecific (emutls_key); + if (__builtin_expect (arr == NULL, 0)) + { + pointer size = offset + 32; + arr = calloc (size + 1, sizeof (void *)); + if (arr == NULL) + abort (); + arr->size = size; + __gthread_setspecific (emutls_key, (void *) arr); + } + else if (__builtin_expect (offset > arr->size, 0)) + { + pointer orig_size = arr->size; + pointer size = orig_size * 2; + if (offset > size) + size = offset + 32; + arr = realloc (arr, (size + 1) * sizeof (void *)); + if (arr == NULL) + abort (); + arr->size = size; + memset (arr->data + orig_size, 0, + (size - orig_size) * sizeof (void *)); + __gthread_setspecific (emutls_key, (void *) arr); + } + + void *ret = arr->data[offset - 1]; + if (__builtin_expect (ret == NULL, 0)) + { + ret = emutls_alloc (obj); + arr->data[offset - 1] = ret; + } + return ret; +#endif +} + +void +__emutls_register_common (struct __emutls_object *obj, + word size, word align, void *templ) +{ + if (obj->size < size) + { + obj->size = size; + obj->templ = NULL; + } + if (obj->align < align) + obj->align = align; + if (templ && size == obj->size) + obj->templ = templ; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/enable-execute-stack-empty.c b/contrib/toolchain/gcc/5x/libgcc/enable-execute-stack-empty.c new file mode 100644 index 0000000000..e2cc02ba11 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/enable-execute-stack-empty.c @@ -0,0 +1,10 @@ +/* Dummy implementation of __enable_execute_stack. */ + +extern void __enable_execute_stack (void *); + +/* Attempt to turn on execute permission for the stack. */ + +void +__enable_execute_stack (void *addr __attribute__((__unused__))) +{ +} diff --git a/contrib/toolchain/gcc/5x/libgcc/enable-execute-stack-mprotect.c b/contrib/toolchain/gcc/5x/libgcc/enable-execute-stack-mprotect.c new file mode 100644 index 0000000000..b9cbdd77ac --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/enable-execute-stack-mprotect.c @@ -0,0 +1,79 @@ +/* Implement __enable_execute_stack using mprotect(2). + Copyright (C) 2011-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it under + the terms of the GNU General Public License as published by the Free + Software Foundation; either version 3, or (at your option) any later + version. + + GCC is distributed in the hope that it will be useful, but WITHOUT ANY + WARRANTY; without even the implied warranty of MERCHANTABILITY or + FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#include +#include +#include + +#define STACK_PROT_RWX (PROT_READ | PROT_WRITE | PROT_EXEC) + +static int need_enable_exec_stack; + +static void check_enabling (void) __attribute__ ((unused)); +extern void __enable_execute_stack (void *); + +#if defined __sun__ && defined __svr4__ +static void __attribute__ ((constructor)) +check_enabling (void) +{ + int prot = (int) sysconf (_SC_STACK_PROT); + + if (prot != STACK_PROT_RWX) + need_enable_exec_stack = 1; +} +#else +/* There is no way to query the execute permission of the stack, so + we always issue the mprotect() call. */ + +static int need_enable_exec_stack = 1; +#endif + +/* Attempt to turn on access permissions for the stack. Unfortunately it + is not possible to make this namespace-clean.*/ + +void +__enable_execute_stack (void *addr) +{ + if (!need_enable_exec_stack) + return; + else + { + static long size, mask; + + if (size == 0) { + size = getpagesize (); + mask = ~(size - 1); + } + + char *page = (char *) (((long) addr) & mask); + char *end = (char *) + ((((long) (addr + __LIBGCC_TRAMPOLINE_SIZE__)) & mask) + size); + + if (mprotect (page, end - page, STACK_PROT_RWX) < 0) + /* Note that no errors should be emitted by this code; it is + considered dangerous for library calls to send messages to + stdout/stderr. */ + abort (); + } +} diff --git a/contrib/toolchain/gcc/5x/libgcc/fixed-bit.c b/contrib/toolchain/gcc/5x/libgcc/fixed-bit.c new file mode 100644 index 0000000000..a8953e3e41 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/fixed-bit.c @@ -0,0 +1,1205 @@ +/* This is a software fixed-point library. + Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This implements fixed-point arithmetic. + + Contributed by Chao-ying Fu . */ + +/* To use this file, we need to define one of the following: + QQ_MODE, UQQ_MODE, HQ_MODE, UHQ_MODE, SQ_MODE, USQ_MODE, DQ_MODE, UDQ_MODE, + TQ_MODE, UTQ_MODE, HA_MODE, UHA_MODE, SA_MODE, USA_MODE, DA_MODE, UDA_MODE, + TA_MODE, UTA_MODE. + Then, all operators for this machine mode will be created. + + Or, we need to define FROM_* TO_* for conversions from one mode to another + mode. The mode could be one of the following: + Fract: QQ, UQQ, HQ, UHQ, SQ, USQ, DQ, UDQ, TQ, UTQ + Accum: HA, UHA, SA, USA, DA, UDA, TA, UTA + Signed integer: QI, HI, SI, DI, TI + Unsigned integer: UQI, UHI, USI, UDI, UTI + Floating-point: SF, DF + Ex: If we define FROM_QQ and TO_SI, the conversion from QQ to SI is + generated. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +#ifndef MIN_UNITS_PER_WORD +#define MIN_UNITS_PER_WORD UNITS_PER_WORD +#endif + +#include "fixed-bit.h" + +#if defined(FIXED_ADD) && defined(L_add) +FIXED_C_TYPE +FIXED_ADD (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + z = x + y; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_ADD */ + +#if defined(FIXED_SSADD) && defined(L_ssadd) +FIXED_C_TYPE +FIXED_SSADD (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + z = x + (UINT_C_TYPE) y; + if ((((x ^ y) >> I_F_BITS) & 1) == 0) + { + if (((z ^ x) >> I_F_BITS) & 1) + { + z = ((UINT_C_TYPE) 1) << I_F_BITS; + if (x >= 0) + z -= (UINT_C_TYPE) 1; + } + } +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_SSADD */ + +#if defined(FIXED_USADD) && defined(L_usadd) +FIXED_C_TYPE +FIXED_USADD (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + z = x + y; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + if (z < x || z < y) /* max */ + { + z = -1; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + } + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_USADD */ + +#if defined(FIXED_SUB) && defined(L_sub) +FIXED_C_TYPE +FIXED_SUB (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + z = x - y; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_SUB */ + +#if defined(FIXED_SSSUB) && defined(L_sssub) +FIXED_C_TYPE +FIXED_SSSUB (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + z = x - (UINT_C_TYPE) y; + if (((x ^ y) >> I_F_BITS) & 1) + { + if (((z ^ x) >> I_F_BITS) & 1) + { + z = ((UINT_C_TYPE) 1) << I_F_BITS; + if (x >= 0) + z -= (UINT_C_TYPE) 1; + } + } +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_SSSUB */ + +#if defined(FIXED_USSUB) && defined(L_ussub) +FIXED_C_TYPE +FIXED_USSUB (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + z = x - y; + if (x < y) + z = 0; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_USSUB */ + +#if defined(FIXED_SATURATE1) && defined(L_saturate1) +void +FIXED_SATURATE1 (DINT_C_TYPE *a) +{ + DINT_C_TYPE max, min; + max = (DINT_C_TYPE)1 << I_F_BITS; + max = max - 1; +#if MODE_UNSIGNED == 0 + min = (DINT_C_TYPE)1 << (2 * FIXED_WIDTH - 1); + min = min >> (2 * FIXED_WIDTH - 1 - I_F_BITS); +#else + min = 0; +#endif + if (*a > max) + *a = max; + else if (*a < min) + *a = min; +} +#endif /* FIXED_SATURATE1 */ + +#if defined(FIXED_SATURATE2) && defined(L_saturate2) +void +FIXED_SATURATE2 (INT_C_TYPE *high, INT_C_TYPE *low) +{ + INT_C_TYPE r_max, s_max, r_min, s_min; + r_max = 0; +#if (MODE_UNSIGNED == 0) || HAVE_PADDING_BITS + s_max = (INT_C_TYPE)1 << I_F_BITS; + s_max = s_max - 1; +#else + s_max = -1; +#endif +#if MODE_UNSIGNED == 0 + r_min = -1; + s_min = (INT_C_TYPE)1 << (FIXED_WIDTH - 1); + s_min = s_min >> (FIXED_WIDTH - 1 - I_F_BITS); +#else + r_min = 0; + s_min = 0; +#endif + + if (*high > r_max + || (*high == r_max && (UINT_C_TYPE)(*low) > (UINT_C_TYPE)s_max)) + { + *high = r_max; + *low = s_max; + } + else if (*high < r_min || + (*high == r_min && (UINT_C_TYPE)(*low) < (UINT_C_TYPE)s_min)) + { + *high = r_min; + *low = s_min; + } +} +#endif /* FIXED_SATURATE2 */ + +#if defined(FIXED_MULHELPER) && defined(L_mulhelper) +FIXED_C_TYPE +FIXED_MULHELPER (FIXED_C_TYPE a, FIXED_C_TYPE b, word_type satp) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y; + +#if defined (DINT_C_TYPE) + INT_C_TYPE z; + DINT_C_TYPE dx, dy, dz; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + dx = (DINT_C_TYPE) x; + dy = (DINT_C_TYPE) y; + dz = dx * dy; + /* Round the result by adding (1 << (FBITS -1)). */ + dz += ((DINT_C_TYPE) 1 << (FBITS - 1)); + dz = dz >> FBITS; + if (satp) + FIXED_SATURATE1 (&dz); + + z = (INT_C_TYPE) dz; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; + +#else /* No DINT_C_TYPE */ + /* The result of multiplication expands to two INT_C_TYPE. */ + INTunion aa, bb; + INTunion a_high, a_low, b_high, b_low; + INTunion high_high, high_low, low_high, low_low; + INTunion r, s, temp1, temp2; + INT_C_TYPE carry = 0; + INT_C_TYPE z; + + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + + /* Decompose a and b. */ + aa.ll = x; + bb.ll = y; + + a_high.s.low = aa.s.high; + a_high.s.high = 0; + a_low.s.low = aa.s.low; + a_low.s.high = 0; + b_high.s.low = bb.s.high; + b_high.s.high = 0; + b_low.s.low = bb.s.low; + b_low.s.high = 0; + + /* Perform four multiplications. */ + low_low.ll = a_low.ll * b_low.ll; + low_high.ll = a_low.ll * b_high.ll; + high_low.ll = a_high.ll * b_low.ll; + high_high.ll = a_high.ll * b_high.ll; + + /* Accumulate four results to {r, s}. */ + temp1.s.high = high_low.s.low; + temp1.s.low = 0; + s.ll = low_low.ll + temp1.ll; + if ((UINT_C_TYPE) s.ll < (UINT_C_TYPE) low_low.ll + || (UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp1.ll) + carry ++; /* Carry. */ + temp1.ll = s.ll; + temp2.s.high = low_high.s.low; + temp2.s.low = 0; + s.ll = temp1.ll + temp2.ll; + if ((UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp1.ll + || (UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp2.ll) + carry ++; /* Carry. */ + + temp1.s.low = high_low.s.high; + temp1.s.high = 0; + r.ll = high_high.ll + temp1.ll; + temp1.s.low = low_high.s.high; + temp1.s.high = 0; + r.ll = r.ll + temp1.ll + carry; + +#if MODE_UNSIGNED == 0 + /* For signed types, we need to add neg(y) to r, if x < 0. */ + if (x < 0) + r.ll = r.ll - y; + /* We need to add neg(x) to r, if y < 0. */ + if (y < 0) + r.ll = r.ll - x; +#endif + + /* Round the result by adding (1 << (FBITS -1)). */ + temp1.ll = s.ll; + s.ll += ((INT_C_TYPE) 1 << (FBITS -1)); + if ((UINT_C_TYPE) s.ll < (UINT_C_TYPE) temp1.ll + || (UINT_C_TYPE) s.ll < (UINT_C_TYPE) ((INT_C_TYPE) 1 << (FBITS -1))) + r.ll += 1; + + /* Shift right the result by FBITS. */ +#if FBITS == FIXED_WIDTH + /* This happens only for unsigned types without any padding bits. + So, it is safe to set r.ll to 0 as it is logically shifted right. */ + s.ll = r.ll; + r.ll = 0; +#else + s.ll = ((UINT_C_TYPE)s.ll) >> FBITS; + temp1.ll = r.ll << (FIXED_WIDTH - FBITS); + s.ll = s.ll | temp1.ll; + r.ll = r.ll >> FBITS; +#endif + + if (satp) + FIXED_SATURATE2 (&r.ll, &s.ll); + + z = (INT_C_TYPE) s.ll; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +#endif +} +#endif /* FIXED_MULHELPER */ + +#if defined(FIXED_MUL) && defined(L_mul) +FIXED_C_TYPE +FIXED_MUL (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_MULHELPER (a, b, 0); +} +#endif /* FIXED_MUL */ + +#if defined(FIXED_SSMUL) && defined(L_ssmul) +FIXED_C_TYPE +FIXED_SSMUL (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_MULHELPER (a, b, 1); +} +#endif /* FIXED_SSMUL */ + +#if defined(FIXED_USMUL) && defined(L_usmul) +FIXED_C_TYPE +FIXED_USMUL (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_MULHELPER (a, b, 1); +} +#endif /* FIXED_USMUL */ + +#if defined(FIXED_DIVHELPER) && defined(L_divhelper) +FIXED_C_TYPE +FIXED_DIVHELPER (FIXED_C_TYPE a, FIXED_C_TYPE b, word_type satp) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y; + INT_C_TYPE z; + +#if defined (DINT_C_TYPE) + DINT_C_TYPE dx, dy, dz; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + dx = (DINT_C_TYPE) x; + dy = (DINT_C_TYPE) y; + dx = dx << FBITS; + dz = dx / dy; + if (satp) + FIXED_SATURATE1 (&dz); + z = (INT_C_TYPE) dz; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; + +#else /* No DINT_C_TYPE */ + INT_C_TYPE pos_a, pos_b, r, s; + INT_C_TYPE quo_r, quo_s, mod, temp; + word_type i; +#if MODE_UNSIGNED == 0 + word_type num_of_neg = 0; +#endif + + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + pos_a = x; + pos_b = y; + +#if MODE_UNSIGNED == 0 + /* If a < 0, negate a. */ + if (pos_a < 0) + { + pos_a = -pos_a; + num_of_neg ++; + } + /* If b < 0, negate b. */ + if (pos_b < 0) + { + pos_b = -pos_b; + num_of_neg ++; + } +#endif + + /* Left shift pos_a to {r, s} by FBITS. */ +#if FBITS == FIXED_WIDTH + /* This happens only for unsigned types without any padding bits. */ + r = pos_a; + s = 0; +#else + s = pos_a << FBITS; + r = pos_a >> (FIXED_WIDTH - FBITS); +#endif + + /* Unsigned divide r by pos_b to quo_r. The remainder is in mod. */ + quo_r = (UINT_C_TYPE)r / (UINT_C_TYPE)pos_b; + mod = (UINT_C_TYPE)r % (UINT_C_TYPE)pos_b; + quo_s = 0; + + for (i = 0; i < FIXED_WIDTH; i++) + { + /* Record the leftmost bit of mod. */ + word_type leftmost_mode = (mod >> (FIXED_WIDTH - 1)) & 1; + /* Shift left mod by 1 bit. */ + mod = mod << 1; + /* Test the leftmost bit of s to add to mod. */ + if ((s >> (FIXED_WIDTH - 1)) & 1) + mod ++; + /* Shift left quo_s by 1 bit. */ + quo_s = quo_s << 1; + /* Try to calculate (mod - pos_b). */ + temp = mod - pos_b; + if (leftmost_mode || (UINT_C_TYPE)mod >= (UINT_C_TYPE)pos_b) + { + quo_s ++; + mod = temp; + } + /* Shift left s by 1 bit. */ + s = s << 1; + } + +#if MODE_UNSIGNED == 0 + if (num_of_neg == 1) + { + quo_s = -quo_s; + if (quo_s == 0) + quo_r = -quo_r; + else + quo_r = ~quo_r; + } +#endif + if (satp) + FIXED_SATURATE2 (&quo_r, &quo_s); + z = quo_s; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +#endif +} +#endif /* FIXED_DIVHELPER */ + +#if defined(FIXED_DIV) && defined(L_div) +FIXED_C_TYPE +FIXED_DIV (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_DIVHELPER (a, b, 0); +} +#endif /* FIXED_DIV */ + + +#if defined(FIXED_UDIV) && defined(L_udiv) +FIXED_C_TYPE +FIXED_UDIV (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_DIVHELPER (a, b, 0); +} +#endif /* FIXED_UDIV */ + +#if defined(FIXED_SSDIV) && defined(L_ssdiv) +FIXED_C_TYPE +FIXED_SSDIV (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_DIVHELPER (a, b, 1); +} +#endif /* FIXED_SSDIV */ + +#if defined(FIXED_USDIV) && defined(L_usdiv) +FIXED_C_TYPE +FIXED_USDIV (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + return FIXED_DIVHELPER (a, b, 1); +} +#endif /* FIXED_USDIV */ + +#if defined(FIXED_NEG) && defined(L_neg) +FIXED_C_TYPE +FIXED_NEG (FIXED_C_TYPE a) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, z; + memcpy (&x, &a, FIXED_SIZE); + z = -x; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_NEG */ + +#if defined(FIXED_SSNEG) && defined(L_ssneg) +FIXED_C_TYPE +FIXED_SSNEG (FIXED_C_TYPE a) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, y, z; + memcpy (&y, &a, FIXED_SIZE); + x = 0; + z = x - (UINT_C_TYPE) y; + if (((x ^ y) >> I_F_BITS) & 1) + { + if (((z ^ x) >> I_F_BITS) & 1) + z = (((UINT_C_TYPE) 1) << I_F_BITS) - 1; + } +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_SSNEG */ + +#if defined(FIXED_USNEG) && defined(L_usneg) +FIXED_C_TYPE +FIXED_USNEG (FIXED_C_TYPE a __attribute__ ((__unused__))) +{ + FIXED_C_TYPE c; + INT_C_TYPE z; + z = 0; + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_USNEG */ + +#if defined(FIXED_ASHLHELPER) && defined(L_ashlhelper) +FIXED_C_TYPE +FIXED_ASHLHELPER (FIXED_C_TYPE a, word_type b, word_type satp) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, z; + +#if defined (DINT_C_TYPE) + DINT_C_TYPE dx, dz; + memcpy (&x, &a, FIXED_SIZE); + dx = (DINT_C_TYPE) x; + if (b >= FIXED_WIDTH) + dz = dx << FIXED_WIDTH; + else + dz = dx << b; + if (satp) + FIXED_SATURATE1 (&dz); + z = (INT_C_TYPE) dz; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; + +#else /* No DINT_C_TYPE */ + INT_C_TYPE r, s; + memcpy (&x, &a, FIXED_SIZE); + /* We need to shift left x by b bits to {r, s}. */ + if (b >= FIXED_WIDTH) + { + r = b; + s = 0; + } + else + { + s = x << b; + r = x >> (FIXED_WIDTH - b); + } + if (satp) + FIXED_SATURATE2 (&r, &s); + z = s; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +#endif +} +#endif /* FIXED_ASHLHELPER */ + +#if defined(FIXED_ASHL) && defined(L_ashl) +FIXED_C_TYPE +FIXED_ASHL (FIXED_C_TYPE a, word_type b) +{ + return FIXED_ASHLHELPER (a, b, 0); +} +#endif /* FIXED_ASHL */ + +#if defined(FIXED_ASHR) && defined(L_ashr) +FIXED_C_TYPE +FIXED_ASHR (FIXED_C_TYPE a, word_type b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, z; + memcpy (&x, &a, FIXED_SIZE); + z = x >> b; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_ASHR */ + +#if defined(FIXED_LSHR) && defined(L_lshr) +FIXED_C_TYPE +FIXED_LSHR (FIXED_C_TYPE a, word_type b) +{ + FIXED_C_TYPE c; + INT_C_TYPE x, z; + memcpy (&x, &a, FIXED_SIZE); + z = x >> b; +#if HAVE_PADDING_BITS + z = z << PADDING_BITS; + z = z >> PADDING_BITS; +#endif + memcpy (&c, &z, FIXED_SIZE); + return c; +} +#endif /* FIXED_LSHR */ + +#if defined(FIXED_SSASHL) && defined(L_ssashl) +FIXED_C_TYPE +FIXED_SSASHL (FIXED_C_TYPE a, word_type b) +{ + return FIXED_ASHLHELPER (a, b, 1); +} +#endif /* FIXED_SSASHL */ + +#if defined(FIXED_USASHL) && defined(L_usashl) +FIXED_C_TYPE +FIXED_USASHL (FIXED_C_TYPE a, word_type b) +{ + return FIXED_ASHLHELPER (a, b, 1); +} +#endif /* FIXED_USASHL */ + +#if defined(FIXED_CMP) && defined(L_cmp) +word_type +FIXED_CMP (FIXED_C_TYPE a, FIXED_C_TYPE b) +{ + INT_C_TYPE x, y; + memcpy (&x, &a, FIXED_SIZE); + memcpy (&y, &b, FIXED_SIZE); + + if (x < y) + return 0; + else if (x > y) + return 2; + + return 1; +} +#endif /* FIXED_CMP */ + +/* Fixed -> Fixed. */ +#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 4 && TO_TYPE == 4 +TO_FIXED_C_TYPE +FRACT (FROM_FIXED_C_TYPE a) +{ + TO_FIXED_C_TYPE c; + FROM_INT_C_TYPE x; + TO_INT_C_TYPE z; + int shift_amount; + memcpy (&x, &a, FROM_FIXED_SIZE); +#if TO_FBITS > FROM_FBITS /* Need left shift. */ + shift_amount = TO_FBITS - FROM_FBITS; + z = (TO_INT_C_TYPE) x; + z = z << shift_amount; +#else /* TO_FBITS <= FROM_FBITS. Need right Shift. */ + shift_amount = FROM_FBITS - TO_FBITS; + x = x >> shift_amount; + z = (TO_INT_C_TYPE) x; +#endif /* TO_FBITS > FROM_FBITS */ + +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* FRACT && FROM_TYPE == 4 && TO_TYPE == 4 */ + +/* Fixed -> Fixed with saturation. */ +#if defined(SATFRACT) && defined(L_satfract) && FROM_TYPE == 4 && TO_TYPE == 4 +TO_FIXED_C_TYPE +SATFRACT (FROM_FIXED_C_TYPE a) +{ + TO_FIXED_C_TYPE c; + TO_INT_C_TYPE z; + FROM_INT_C_TYPE x; +#if FROM_MODE_UNSIGNED == 0 + BIG_SINT_C_TYPE high, low; + BIG_SINT_C_TYPE max_high, max_low; +#if TO_MODE_UNSIGNED == 0 + BIG_SINT_C_TYPE min_high, min_low; +#endif +#else + BIG_UINT_C_TYPE high, low; + BIG_UINT_C_TYPE max_high, max_low; +#endif +#if TO_FBITS > FROM_FBITS + BIG_UINT_C_TYPE utemp; +#endif +#if TO_MODE_UNSIGNED == 0 + BIG_SINT_C_TYPE stemp; +#endif +#if TO_FBITS != FROM_FBITS + int shift_amount; +#endif + memcpy (&x, &a, FROM_FIXED_SIZE); + + /* Step 1. We need to store x to {high, low}. */ +#if FROM_MODE_UNSIGNED == 0 + low = (BIG_SINT_C_TYPE) x; + if (x < 0) + high = -1; + else + high = 0; +#else + low = (BIG_UINT_C_TYPE) x; + high = 0; +#endif + + /* Step 2. We need to shift {high, low}. */ +#if TO_FBITS > FROM_FBITS /* Left shift. */ + shift_amount = TO_FBITS - FROM_FBITS; + utemp = (BIG_UINT_C_TYPE) low; + utemp = utemp >> (BIG_WIDTH - shift_amount); + high = ((BIG_UINT_C_TYPE)(high << shift_amount)) | utemp; + low = low << shift_amount; +#elif TO_FBITS < FROM_FBITS /* Right shift. */ + shift_amount = FROM_FBITS - TO_FBITS; + low = low >> shift_amount; +#endif + + /* Step 3. Compare {high, low} with max and min of TO_FIXED_C_TYPE. */ + max_high = 0; +#if BIG_WIDTH > TO_FIXED_WIDTH || TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS + max_low = (BIG_UINT_C_TYPE)1 << TO_I_F_BITS; + max_low = max_low - 1; +#else + max_low = -1; +#endif + +#if TO_MODE_UNSIGNED == 0 + stemp = (BIG_SINT_C_TYPE)1 << (BIG_WIDTH - 1); + stemp = stemp >> (BIG_WIDTH - 1 - TO_I_F_BITS); +#if FROM_MODE_UNSIGNED == 0 + min_high = -1; + min_low = stemp; +#endif +#endif + +#if FROM_MODE_UNSIGNED == 0 && TO_MODE_UNSIGNED == 0 + /* Signed -> Signed. */ + if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high + || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ + else if ((BIG_SINT_C_TYPE) high < (BIG_SINT_C_TYPE) min_high + || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) min_high + && (BIG_UINT_C_TYPE) low < (BIG_UINT_C_TYPE) min_low)) + low = min_low; /* Minimum. */ +#elif FROM_MODE_UNSIGNED == 1 && TO_MODE_UNSIGNED == 1 + /* Unigned -> Unsigned. */ + if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high + || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ +#elif FROM_MODE_UNSIGNED == 0 && TO_MODE_UNSIGNED == 1 + /* Signed -> Unsigned. */ + if (x < 0) + low = 0; /* Minimum. */ + else if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high + || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ +#elif FROM_MODE_UNSIGNED == 1 && TO_MODE_UNSIGNED == 0 + /* Unsigned -> Signed. */ + if ((BIG_SINT_C_TYPE) high < 0) + low = max_low; /* Maximum. */ + else if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high + || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ +#endif + + /* Step 4. Store the result. */ + z = (TO_INT_C_TYPE) low; +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(SATFRACT) && FROM_TYPE == 4 && TO_TYPE == 4 */ + +/* Fixed -> Int. */ +#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 4 && TO_TYPE == 1 +TO_INT_C_TYPE +FRACT (FROM_FIXED_C_TYPE a) +{ + FROM_INT_C_TYPE x; + TO_INT_C_TYPE z; + FROM_INT_C_TYPE i = 0; + memcpy (&x, &a, FROM_FIXED_SIZE); + +#if FROM_MODE_UNSIGNED == 0 + if (x < 0) + { +#if FROM_FIXED_WIDTH == FROM_FBITS + if (x != 0) + i = 1; +#else + if (((FROM_INT_C_TYPE)(x << (FROM_FIXED_WIDTH - FROM_FBITS))) != 0) + i = 1; +#endif + } +#endif + +#if FROM_FIXED_WIDTH == FROM_FBITS + x = 0; +#else + x = x >> FROM_FBITS; +#endif + x = x + i; + z = (TO_INT_C_TYPE) x; + return z; +} +#endif /* defined(FRACT) && FROM_TYPE == 4 && TO_TYPE == 1 */ + +/* Fixed -> Unsigned int. */ +#if defined(FRACTUNS) && defined(L_fractuns) && FROM_TYPE == 4 && TO_TYPE == 2 +TO_INT_C_TYPE +FRACTUNS (FROM_FIXED_C_TYPE a) +{ + FROM_INT_C_TYPE x; + TO_INT_C_TYPE z; + FROM_INT_C_TYPE i = 0; + memcpy (&x, &a, FROM_FIXED_SIZE); + +#if FROM_MODE_UNSIGNED == 0 + if (x < 0) + { +#if FROM_FIXED_WIDTH == FROM_FBITS + if (x != 0) + i = 1; +#else + if (((FROM_INT_C_TYPE)(x << (FROM_FIXED_WIDTH - FROM_FBITS))) != 0) + i = 1; +#endif + } +#endif + +#if FROM_FIXED_WIDTH == FROM_FBITS + x = 0; +#else + x = x >> FROM_FBITS; +#endif + x = x + i; + z = (TO_INT_C_TYPE) x; + return z; +} +#endif /* defined(FRACTUNS) && FROM_TYPE == 4 && TO_TYPE == 2 */ + +/* Int -> Fixed. */ +#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 1 && TO_TYPE == 4 +TO_FIXED_C_TYPE +FRACT (FROM_INT_C_TYPE a) +{ + TO_FIXED_C_TYPE c; + TO_INT_C_TYPE z; + z = (TO_INT_C_TYPE) a; +#if TO_FIXED_WIDTH == TO_FBITS + z = 0; +#else + z = z << TO_FBITS; +#endif +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(FRACT) && FROM_TYPE == 1 && TO_TYPE == 4 */ + +/* Signed int -> Fixed with saturation. */ +#if defined(SATFRACT) && defined(L_satfract) && FROM_TYPE == 1 && TO_TYPE == 4 +TO_FIXED_C_TYPE +SATFRACT (FROM_INT_C_TYPE a) +{ + TO_FIXED_C_TYPE c; + TO_INT_C_TYPE z; + FROM_INT_C_TYPE x = a; + BIG_SINT_C_TYPE high, low; + BIG_SINT_C_TYPE max_high, max_low; +#if TO_MODE_UNSIGNED == 0 + BIG_SINT_C_TYPE min_high, min_low; + BIG_SINT_C_TYPE stemp; +#endif +#if BIG_WIDTH != TO_FBITS + BIG_UINT_C_TYPE utemp; + int shift_amount; +#endif + + /* Step 1. We need to store x to {high, low}. */ + low = (BIG_SINT_C_TYPE) x; + if (x < 0) + high = -1; + else + high = 0; + + /* Step 2. We need to left shift {high, low}. */ +#if BIG_WIDTH == TO_FBITS + high = low; + low = 0; +#else + shift_amount = TO_FBITS; + utemp = (BIG_UINT_C_TYPE) low; + utemp = utemp >> (BIG_WIDTH - shift_amount); + high = ((BIG_UINT_C_TYPE)(high << shift_amount)) | utemp; + low = low << shift_amount; +#endif + + /* Step 3. Compare {high, low} with max and min of TO_FIXED_C_TYPE. */ + max_high = 0; +#if BIG_WIDTH > TO_FIXED_WIDTH || TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS + max_low = (BIG_UINT_C_TYPE)1 << TO_I_F_BITS; + max_low = max_low - 1; +#else + max_low = -1; +#endif + +#if TO_MODE_UNSIGNED == 0 + min_high = -1; + stemp = (BIG_SINT_C_TYPE)1 << (BIG_WIDTH - 1); + stemp = stemp >> (BIG_WIDTH - 1 - TO_I_F_BITS); + min_low = stemp; + + /* Signed -> Signed. */ + if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high + || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ + else if ((BIG_SINT_C_TYPE) high < (BIG_SINT_C_TYPE) min_high + || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) min_high + && (BIG_UINT_C_TYPE) low < (BIG_UINT_C_TYPE) min_low)) + low = min_low; /* Minimum. */ +#else + /* Signed -> Unsigned. */ + if (x < 0) + low = 0; /* Minimum. */ + else if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high + || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ +#endif + + /* Step 4. Store the result. */ + z = (TO_INT_C_TYPE) low; +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(SATFRACT) && FROM_TYPE == 1 && TO_TYPE == 4 */ + +/* Unsigned int -> Fixed. */ +#if defined(FRACTUNS) && defined(L_fractuns) &&FROM_TYPE == 2 && TO_TYPE == 4 +TO_FIXED_C_TYPE +FRACTUNS (FROM_INT_C_TYPE a) +{ + TO_FIXED_C_TYPE c; + TO_INT_C_TYPE z; + z = (TO_INT_C_TYPE) a; +#if TO_FIXED_WIDTH == TO_FBITS + z = 0; +#else + z = z << TO_FBITS; +#endif +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(FRACTUNS) && FROM_TYPE == 2 && TO_TYPE == 4 */ + +/* Unsigned int -> Fixed with saturation. */ +#if defined(SATFRACTUNS) && defined(L_satfractuns) && FROM_TYPE == 2 && TO_TYPE == 4 +TO_FIXED_C_TYPE +SATFRACTUNS (FROM_INT_C_TYPE a) +{ + TO_FIXED_C_TYPE c; + TO_INT_C_TYPE z; + FROM_INT_C_TYPE x = a; + BIG_UINT_C_TYPE high, low; + BIG_UINT_C_TYPE max_high, max_low; +#if BIG_WIDTH != TO_FBITS + BIG_UINT_C_TYPE utemp; + int shift_amount; +#endif + + /* Step 1. We need to store x to {high, low}. */ + low = (BIG_UINT_C_TYPE) x; + high = 0; + + /* Step 2. We need to left shift {high, low}. */ +#if BIG_WIDTH == TO_FBITS + high = low; + low = 0; +#else + shift_amount = TO_FBITS; + utemp = (BIG_UINT_C_TYPE) low; + utemp = utemp >> (BIG_WIDTH - shift_amount); + high = ((BIG_UINT_C_TYPE)(high << shift_amount)) | utemp; + low = low << shift_amount; +#endif + + /* Step 3. Compare {high, low} with max and min of TO_FIXED_C_TYPE. */ + max_high = 0; +#if BIG_WIDTH > TO_FIXED_WIDTH || TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS + max_low = (BIG_UINT_C_TYPE)1 << TO_I_F_BITS; + max_low = max_low - 1; +#else + max_low = -1; +#endif + +#if TO_MODE_UNSIGNED == 1 + /* Unigned -> Unsigned. */ + if ((BIG_UINT_C_TYPE) high > (BIG_UINT_C_TYPE) max_high + || ((BIG_UINT_C_TYPE) high == (BIG_UINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ +#else + /* Unsigned -> Signed. */ + if ((BIG_SINT_C_TYPE) high < 0) + low = max_low; /* Maximum. */ + else if ((BIG_SINT_C_TYPE) high > (BIG_SINT_C_TYPE) max_high + || ((BIG_SINT_C_TYPE) high == (BIG_SINT_C_TYPE) max_high + && (BIG_UINT_C_TYPE) low > (BIG_UINT_C_TYPE) max_low)) + low = max_low; /* Maximum. */ +#endif + + /* Step 4. Store the result. */ + z = (TO_INT_C_TYPE) low; +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(SATFRACTUNS) && FROM_TYPE == 2 && TO_TYPE == 4 */ + +/* Fixed -> Float. */ +#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 4 && TO_TYPE == 3 +TO_FLOAT_C_TYPE +FRACT (FROM_FIXED_C_TYPE a) +{ + FROM_INT_C_TYPE x; + TO_FLOAT_C_TYPE z; + memcpy (&x, &a, FROM_FIXED_SIZE); + z = (TO_FLOAT_C_TYPE) x; + z = z / BASE; + return z; +} +#endif /* defined(FRACT) && FROM_TYPE == 4 && TO_TYPE == 3 */ + +/* Float -> Fixed. */ +#if defined(FRACT) && defined(L_fract) && FROM_TYPE == 3 && TO_TYPE == 4 +TO_FIXED_C_TYPE +FRACT (FROM_FLOAT_C_TYPE a) +{ + FROM_FLOAT_C_TYPE temp; + TO_INT_C_TYPE z; + TO_FIXED_C_TYPE c; + + temp = a * BASE; + z = (TO_INT_C_TYPE) temp; +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(FRACT) && FROM_TYPE == 3 && TO_TYPE == 4 */ + +/* Float -> Fixed with saturation. */ +#if defined(SATFRACT) && defined(L_satfract) && FROM_TYPE == 3 && TO_TYPE == 4 +TO_FIXED_C_TYPE +SATFRACT (FROM_FLOAT_C_TYPE a) +{ + FROM_FLOAT_C_TYPE temp; + TO_INT_C_TYPE z; + TO_FIXED_C_TYPE c; + + if (a >= FIXED_MAX) + { +#if TO_MODE_UNSIGNED == 0 || TO_HAVE_PADDING_BITS + z = (TO_INT_C_TYPE)1 << TO_I_F_BITS; + z = z - 1; +#else + z = -1; +#endif + } + else if (a <= FIXED_MIN) + { +#if TO_MODE_UNSIGNED == 0 + z = (TO_INT_C_TYPE)1 << TO_I_F_BITS; +#else + z = 0; +#endif + } + else + { + temp = a * BASE; + z = (TO_INT_C_TYPE) temp; + } + +#if TO_HAVE_PADDING_BITS + z = z << TO_PADDING_BITS; + z = z >> TO_PADDING_BITS; +#endif + memcpy (&c, &z, TO_FIXED_SIZE); + return c; +} +#endif /* defined(SATFRACT) && FROM_TYPE == 3 && TO_TYPE == 4 */ + diff --git a/contrib/toolchain/gcc/5x/libgcc/fixed-bit.h b/contrib/toolchain/gcc/5x/libgcc/fixed-bit.h new file mode 100644 index 0000000000..2efe01d3d3 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/fixed-bit.h @@ -0,0 +1,1283 @@ +/* This is a software fixed-point library. + Copyright (C) 2007-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _FIXED_BIT_H +#define _FIXED_BIT_H + +#ifdef LIBGCC2_GNU_PREFIX +#define LIBGCC2_FIXEDBIT_GNU_PREFIX +#endif + +/* To use this file we need to define one of the following: + QQ_MODE, UQQ_MODE, HQ_MODE, UHQ_MODE, SQ_MODE, USQ_MODE, DQ_MODE, UDQ_MODE, + TQ_MODE, UTQ_MODE, HA_MODE, UHA_MODE, SA_MODE, USA_MODE, DA_MODE, UDA_MODE, + TA_MODE, UTA_MODE. + Then, all operators for this machine mode will be created. + + Or, we need to define FROM_* TO_* for conversions from one mode to another + mode. The mode could be one of the following: + Fract: QQ, UQQ, HQ, UHQ, SQ, USQ, DQ, UDQ, TQ, UTQ + Accum: HA, UHA, SA, USA, DA, UDA, TA, UTA + Signed integer: QI, HI, SI, DI, TI + Unsigned integer: UQI, UHI, USI, UDI, UTI + Floating-point: SF, DF + Ex: If we define FROM_QQ and TO_SI, the conversion from QQ to SI is + generated. */ + +#ifdef __LIBGCC_HAS_SF_MODE__ +#define LIBGCC2_HAS_SF_MODE 1 +#else +#define LIBGCC2_HAS_SF_MODE 0 +#endif + +#ifdef __LIBGCC_HAS_DF_MODE__ +#define LIBGCC2_HAS_DF_MODE 1 +#else +#define LIBGCC2_HAS_DF_MODE 0 +#endif + +typedef int QItype __attribute__ ((mode (QI))); +typedef unsigned int UQItype __attribute__ ((mode (QI))); +typedef int HItype __attribute__ ((mode (HI))); +typedef unsigned int UHItype __attribute__ ((mode (HI))); +typedef _Fract QQtype __attribute__ ((mode (QQ))); +typedef unsigned _Fract UQQtype __attribute__ ((mode (UQQ))); +typedef _Fract HQtype __attribute__ ((mode (HQ))); +typedef unsigned _Fract UHQtype __attribute__ ((mode (UHQ))); +typedef _Fract HAtype __attribute__ ((mode (HA))); +typedef unsigned _Fract UHAtype __attribute__ ((mode (UHA))); +#define HAVE_QQ 1 +#define HAVE_UQQ 1 +#define HAVE_HQ 1 +#define HAVE_UHQ 1 +#define HAVE_HA 1 +#define HAVE_UHA 1 +#define HAVE_QI 1 +#define HAVE_UQI 1 +#define HAVE_HI 1 +#define HAVE_UHI 1 +#if MIN_UNITS_PER_WORD > 1 +/* These typedefs are usually forbidden on dsp's with UNITS_PER_WORD 1. */ +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef _Fract SQtype __attribute__ ((mode (SQ))); +typedef unsigned _Fract USQtype __attribute__ ((mode (USQ))); +typedef _Fract SAtype __attribute__ ((mode (SA))); +typedef unsigned _Fract USAtype __attribute__ ((mode (USA))); +#define HAVE_SQ 1 +#define HAVE_USQ 1 +#define HAVE_SA 1 +#define HAVE_USA 1 +#define HAVE_SI 1 +#define HAVE_USI 1 +#if LONG_LONG_TYPE_SIZE > 32 +/* These typedefs are usually forbidden on archs with UNITS_PER_WORD 2. */ +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); +typedef _Fract DQtype __attribute__ ((mode (DQ))); +typedef unsigned _Fract UDQtype __attribute__ ((mode (UDQ))); +typedef _Fract DAtype __attribute__ ((mode (DA))); +typedef unsigned _Fract UDAtype __attribute__ ((mode (UDA))); +#define HAVE_DQ 1 +#define HAVE_UDQ 1 +#define HAVE_DA 1 +#define HAVE_UDA 1 +#define HAVE_DI 1 +#define HAVE_UDI 1 +#if MIN_UNITS_PER_WORD > 4 +/* These typedefs are usually forbidden on archs with UNITS_PER_WORD 4. */ +typedef int TItype __attribute__ ((mode (TI))); +typedef unsigned int UTItype __attribute__ ((mode (TI))); +typedef _Fract TQtype __attribute__ ((mode (TQ))); +typedef unsigned _Fract UTQtype __attribute__ ((mode (UTQ))); +typedef _Fract TAtype __attribute__ ((mode (TA))); +typedef unsigned _Fract UTAtype __attribute__ ((mode (UTA))); +#define HAVE_TQ 1 +#define HAVE_UTQ 1 +#define HAVE_TA 1 +#define HAVE_UTA 1 +#define HAVE_TI 1 +#define HAVE_UTI 1 +#endif +#endif +#endif + +#if LIBGCC2_HAS_SF_MODE +typedef float SFtype __attribute__ ((mode (SF))); +#define HAVE_SF 1 +#endif +#if LIBGCC2_HAS_DF_MODE +typedef float DFtype __attribute__ ((mode (DF))); +#define HAVE_DF 1 +#endif + +typedef int word_type __attribute__ ((mode (__word__))); + +/* Based on modes, we create many defines. */ + +#if defined (QQ_MODE) && (HAVE_QQ == 1) +#define FIXED_SIZE 1 /* in bytes. */ +#define INT_C_TYPE QItype +#define UINT_C_TYPE UQItype +#define DINT_C_TYPE HItype +#define DUINT_C_TYPE UHItype +#define MODE_NAME QQ +#define MODE_NAME_S qq +#define MODE_UNSIGNED 0 +#endif + +#if defined (UQQ_MODE) && (HAVE_UQQ == 1) +#define FIXED_SIZE 1 /* in bytes. */ +#define INT_C_TYPE UQItype +#define UINT_C_TYPE UQItype +#define DINT_C_TYPE UHItype +#define DUINT_C_TYPE UHItype +#define MODE_NAME UQQ +#define MODE_NAME_S uqq +#define MODE_UNSIGNED 1 +#endif + +#if defined (HQ_MODE) && (HAVE_HQ == 1) +#define FIXED_SIZE 2 /* in bytes. */ +#define INT_C_TYPE HItype +#define UINT_C_TYPE UHItype + +#if HAVE_SI == 1 +#define DINT_C_TYPE SItype +#define DUINT_C_TYPE USItype +#else +#define HINT_C_TYPE QItype +#define HUINT_C_TYPE UQItype +#endif + +#define MODE_NAME HQ +#define MODE_NAME_S hq +#define MODE_UNSIGNED 0 +#endif + +#if defined (UHQ_MODE) && (HAVE_UHQ == 1) +#define FIXED_SIZE 2 /* in bytes. */ +#define INT_C_TYPE UHItype +#define UINT_C_TYPE UHItype + +#if HAVE_SI == 1 +#define DINT_C_TYPE USItype +#define DUINT_C_TYPE USItype +#else +#define HINT_C_TYPE UQItype +#define HUINT_C_TYPE UQItype +#endif + +#define MODE_NAME UHQ +#define MODE_NAME_S uhq +#define MODE_UNSIGNED 1 +#endif + +#if defined (SQ_MODE) && (HAVE_SQ == 1) +#define FIXED_SIZE 4 /* in bytes. */ +#define INT_C_TYPE SItype +#define UINT_C_TYPE USItype + +#if HAVE_DI == 1 +#define DINT_C_TYPE DItype +#define DUINT_C_TYPE UDItype +#else +#define HINT_C_TYPE HItype +#define HUINT_C_TYPE UHItype +#endif + +#define MODE_NAME SQ +#define MODE_NAME_S sq +#define MODE_UNSIGNED 0 +#endif + +#if defined (USQ_MODE) && (HAVE_USQ == 1) +#define FIXED_SIZE 4 /* in bytes. */ +#define INT_C_TYPE USItype +#define UINT_C_TYPE USItype + +#if HAVE_DI == 1 +#define DINT_C_TYPE UDItype +#define DUINT_C_TYPE UDItype +#else +#define HINT_C_TYPE UHItype +#define HUINT_C_TYPE UHItype +#endif + +#define MODE_NAME USQ +#define MODE_NAME_S usq +#define MODE_UNSIGNED 1 +#endif + +#if defined (DQ_MODE) && (HAVE_DQ == 1) +#define FIXED_SIZE 8 /* in bytes. */ +#define INT_C_TYPE DItype +#define UINT_C_TYPE UDItype + +#if HAVE_TI == 1 +#define DINT_C_TYPE TItype +#define DUINT_C_TYPE UTItype +#else +#define HINT_C_TYPE SItype +#define HUINT_C_TYPE USItype +#endif + +#define MODE_NAME DQ +#define MODE_NAME_S dq +#define MODE_UNSIGNED 0 +#endif + +#if defined (UDQ_MODE) && (HAVE_UDQ == 1) +#define FIXED_SIZE 8 /* in bytes. */ +#define INT_C_TYPE UDItype +#define UINT_C_TYPE UDItype + +#if HAVE_TI == 1 +#define DINT_C_TYPE UTItype +#define DUINT_C_TYPE UTItype +#else +#define HINT_C_TYPE USItype +#define HUINT_C_TYPE USItype +#endif + +#define MODE_NAME UDQ +#define MODE_NAME_S udq +#define MODE_UNSIGNED 1 +#endif + +#if defined (TQ_MODE) && (HAVE_TQ == 1) +#define FIXED_SIZE 16 /* in bytes. */ +#define INT_C_TYPE TItype +#define UINT_C_TYPE UTItype +#define HINT_C_TYPE DItype +#define HUINT_C_TYPE UDItype +#define MODE_NAME TQ +#define MODE_NAME_S tq +#define MODE_UNSIGNED 0 +#endif + +#if defined (UTQ_MODE) && (HAVE_UTQ == 1) +#define FIXED_SIZE 16 /* in bytes. */ +#define INT_C_TYPE UTItype +#define UINT_C_TYPE UTItype +#define HINT_C_TYPE UDItype +#define HUINT_C_TYPE UDItype +#define MODE_NAME UTQ +#define MODE_NAME_S utq +#define MODE_UNSIGNED 1 +#endif + +#if defined (HA_MODE) && (HAVE_HA == 1) +#define FIXED_SIZE 2 /* in bytes. */ +#define INT_C_TYPE HItype +#define UINT_C_TYPE UHItype + +#if HAVE_SI == 1 +#define DINT_C_TYPE SItype +#define DUINT_C_TYPE USItype +#else +#define HINT_C_TYPE QItype +#define HUINT_C_TYPE UQItype +#endif + +#define MODE_NAME HA +#define MODE_NAME_S ha +#define MODE_UNSIGNED 0 +#endif + +#if defined (UHA_MODE) && (HAVE_UHA == 1) +#define FIXED_SIZE 2 /* in bytes. */ +#define INT_C_TYPE UHItype +#define UINT_C_TYPE UHItype + +#if HAVE_SI == 1 +#define DINT_C_TYPE USItype +#define DUINT_C_TYPE USItype +#else +#define HINT_C_TYPE UQItype +#define HUINT_C_TYPE UQItype +#endif + +#define MODE_NAME UHA +#define MODE_NAME_S uha +#define MODE_UNSIGNED 1 +#endif + +#if defined (SA_MODE) && (HAVE_SA == 1) +#define FIXED_SIZE 4 /* in bytes. */ +#define INT_C_TYPE SItype +#define UINT_C_TYPE USItype + +#if HAVE_DI == 1 +#define DINT_C_TYPE DItype +#define DUINT_C_TYPE UDItype +#else +#define HINT_C_TYPE HItype +#define HUINT_C_TYPE UHItype +#endif + +#define MODE_NAME SA +#define MODE_NAME_S sa +#define MODE_UNSIGNED 0 +#endif + +#if defined (USA_MODE) && (HAVE_USA == 1) +#define FIXED_SIZE 4 /* in bytes. */ +#define INT_C_TYPE USItype +#define UINT_C_TYPE USItype + +#if HAVE_DI == 1 +#define DINT_C_TYPE UDItype +#define DUINT_C_TYPE UDItype +#else +#define HINT_C_TYPE UHItype +#define HUINT_C_TYPE UHItype +#endif + +#define MODE_NAME USA +#define MODE_NAME_S usa +#define MODE_UNSIGNED 1 +#endif + +#if defined (DA_MODE) && (HAVE_DA == 1) +#define FIXED_SIZE 8 /* in bytes. */ +#define INT_C_TYPE DItype +#define UINT_C_TYPE UDItype + +#if HAVE_TI == 1 +#define DINT_C_TYPE TItype +#define DUINT_C_TYPE UTItype +#else +#define HINT_C_TYPE SItype +#define HUINT_C_TYPE USItype +#endif + +#define MODE_NAME DA +#define MODE_NAME_S da +#define MODE_UNSIGNED 0 +#endif + +#if defined (UDA_MODE) && (HAVE_UDA == 1) +#define FIXED_SIZE 8 /* in bytes. */ +#define INT_C_TYPE UDItype +#define UINT_C_TYPE UDItype + +#if HAVE_TI == 1 +#define DINT_C_TYPE UTItype +#define DUINT_C_TYPE UTItype +#else +#define HINT_C_TYPE USItype +#define HUINT_C_TYPE USItype +#endif + +#define MODE_NAME UDA +#define MODE_NAME_S uda +#define MODE_UNSIGNED 1 +#endif + +#if defined (TA_MODE) && (HAVE_TA == 1) +#define FIXED_SIZE 16 /* in bytes. */ +#define INT_C_TYPE TItype +#define UINT_C_TYPE UTItype +#define HINT_C_TYPE DItype +#define HUINT_C_TYPE UDItype +#define MODE_NAME TA +#define MODE_NAME_S ta +#define MODE_UNSIGNED 0 +#endif + +#if defined (UTA_MODE) && (HAVE_UTA == 1) +#define FIXED_SIZE 16 /* in bytes. */ +#define INT_C_TYPE UTItype +#define UINT_C_TYPE UTItype +#define HINT_C_TYPE UDItype +#define HUINT_C_TYPE UDItype +#define MODE_NAME UTA +#define MODE_NAME_S uta +#define MODE_UNSIGNED 1 +#endif + +/* The following defines are based on the previous defines. */ + +#if defined (HINT_C_TYPE) +#if __BYTE_ORDER__ != __ORDER_LITTLE_ENDIAN__ + struct INTstruct {HINT_C_TYPE high, low;}; +#else + struct INTstruct {HINT_C_TYPE low, high;}; +#endif + +typedef union +{ + struct INTstruct s; + INT_C_TYPE ll; +} INTunion; +#endif + +#define FIXED_WIDTH (FIXED_SIZE * BITS_PER_UNIT) /* in bits. */ +#define FIXED_C_TYPE1(NAME) NAME ## type +#define FIXED_C_TYPE2(NAME) FIXED_C_TYPE1(NAME) +#define FIXED_C_TYPE FIXED_C_TYPE2(MODE_NAME) +#define FBITS1(NAME) __ ## NAME ## _FBIT__ +#define FBITS2(NAME) FBITS1(NAME) +#define FBITS FBITS2(MODE_NAME) +#define IBITS1(NAME) __ ## NAME ## _IBIT__ +#define IBITS2(NAME) IBITS1(NAME) +#define IBITS IBITS2(MODE_NAME) +#define I_F_BITS (FBITS + IBITS) + +#ifdef LIBGCC2_FIXEDBIT_GNU_PREFIX +#define FIXED_OP(OP,MODE,NUM) __gnu_ ## OP ## MODE ## NUM +#else +#define FIXED_OP(OP,MODE,NUM) __ ## OP ## MODE ## NUM +#endif + +#define FIXED_SATURATE1_TEMP(NAME) FIXED_OP(saturate1,NAME,) +#define FIXED_SATURATE2_TEMP(NAME) FIXED_OP(saturate2,NAME,) +#define FIXED_MULHELPER_TEMP(NAME) FIXED_OP(mulhelper,NAME,) +#define FIXED_DIVHELPER_TEMP(NAME) FIXED_OP(divhelper,NAME,) +#define FIXED_ASHLHELPER_TEMP(NAME) FIXED_OP(ashlhelper,NAME,) +#define FIXED_ADD_TEMP(NAME) FIXED_OP(add,NAME,3) +#define FIXED_SSADD_TEMP(NAME) FIXED_OP(ssadd,NAME,3) +#define FIXED_USADD_TEMP(NAME) FIXED_OP(usadd,NAME,3) +#define FIXED_SUB_TEMP(NAME) FIXED_OP(sub,NAME,3) +#define FIXED_SSSUB_TEMP(NAME) FIXED_OP(sssub,NAME,3) +#define FIXED_USSUB_TEMP(NAME) FIXED_OP(ussub,NAME,3) +#define FIXED_MUL_TEMP(NAME) FIXED_OP(mul,NAME,3) +#define FIXED_SSMUL_TEMP(NAME) FIXED_OP(ssmul,NAME,3) +#define FIXED_USMUL_TEMP(NAME) FIXED_OP(usmul,NAME,3) +#define FIXED_DIV_TEMP(NAME) FIXED_OP(div,NAME,3) +#define FIXED_UDIV_TEMP(NAME) FIXED_OP(udiv,NAME,3) +#define FIXED_SSDIV_TEMP(NAME) FIXED_OP(ssdiv,NAME,3) +#define FIXED_USDIV_TEMP(NAME) FIXED_OP(usdiv,NAME,3) +#define FIXED_NEG_TEMP(NAME) FIXED_OP(neg,NAME,2) +#define FIXED_SSNEG_TEMP(NAME) FIXED_OP(ssneg,NAME,2) +#define FIXED_USNEG_TEMP(NAME) FIXED_OP(usneg,NAME,2) +#define FIXED_ASHL_TEMP(NAME) FIXED_OP(ashl,NAME,3) +#define FIXED_ASHR_TEMP(NAME) FIXED_OP(ashr,NAME,3) +#define FIXED_LSHR_TEMP(NAME) FIXED_OP(lshr,NAME,3) +#define FIXED_SSASHL_TEMP(NAME) FIXED_OP(ssashl,NAME,3) +#define FIXED_USASHL_TEMP(NAME) FIXED_OP(usashl,NAME,3) +#define FIXED_CMP_TEMP(NAME) FIXED_OP(cmp,NAME,2) + +#if defined (MODE_NAME) +#if defined (DINT_C_TYPE) +#define FIXED_SATURATE1 FIXED_SATURATE1_TEMP(MODE_NAME_S) +#else +#define FIXED_SATURATE2 FIXED_SATURATE2_TEMP(MODE_NAME_S) +#endif +#define FIXED_MULHELPER FIXED_MULHELPER_TEMP(MODE_NAME_S) +#define FIXED_DIVHELPER FIXED_DIVHELPER_TEMP(MODE_NAME_S) +#define FIXED_ASHLHELPER FIXED_ASHLHELPER_TEMP(MODE_NAME_S) +#define FIXED_ADD FIXED_ADD_TEMP(MODE_NAME_S) +#define FIXED_SUB FIXED_SUB_TEMP(MODE_NAME_S) +#define FIXED_MUL FIXED_MUL_TEMP(MODE_NAME_S) +#define FIXED_NEG FIXED_NEG_TEMP(MODE_NAME_S) +#define FIXED_ASHL FIXED_ASHL_TEMP(MODE_NAME_S) +#define FIXED_CMP FIXED_CMP_TEMP(MODE_NAME_S) + +/* The following functions are for all fixed-point modes. */ +#if defined (DINT_C_TYPE) +extern void FIXED_SATURATE1 (DINT_C_TYPE *); +#else +extern void FIXED_SATURATE2 (INT_C_TYPE *, INT_C_TYPE *); +#endif +extern FIXED_C_TYPE FIXED_MULHELPER (FIXED_C_TYPE, FIXED_C_TYPE, word_type); +extern FIXED_C_TYPE FIXED_DIVHELPER (FIXED_C_TYPE, FIXED_C_TYPE, word_type); +extern FIXED_C_TYPE FIXED_ASHLHELPER (FIXED_C_TYPE, word_type, word_type); +extern FIXED_C_TYPE FIXED_ADD (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_SUB (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_MUL (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_NEG (FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_ASHL (FIXED_C_TYPE, word_type); +extern word_type FIXED_CMP (FIXED_C_TYPE, FIXED_C_TYPE); +#endif + +#if MODE_UNSIGNED == 0 /* Signed types. */ +#define PADDING_BITS (FIXED_WIDTH - 1 - I_F_BITS) +#define NONPADDING_BITS (1 + I_F_BITS) + +#if defined (MODE_NAME) +#define FIXED_DIV FIXED_DIV_TEMP(MODE_NAME_S) +#define FIXED_ASHR FIXED_ASHR_TEMP(MODE_NAME_S) +#define FIXED_SSADD FIXED_SSADD_TEMP(MODE_NAME_S) +#define FIXED_SSSUB FIXED_SSSUB_TEMP(MODE_NAME_S) +#define FIXED_SSMUL FIXED_SSMUL_TEMP(MODE_NAME_S) +#define FIXED_SSDIV FIXED_SSDIV_TEMP(MODE_NAME_S) +#define FIXED_SSNEG FIXED_SSNEG_TEMP(MODE_NAME_S) +#define FIXED_SSASHL FIXED_SSASHL_TEMP(MODE_NAME_S) + +/* The following functions are for signed fixed-point modes. */ +extern FIXED_C_TYPE FIXED_DIV (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_ASHR (FIXED_C_TYPE, word_type); +extern FIXED_C_TYPE FIXED_SSADD (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_SSSUB (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_SSMUL (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_SSDIV (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_SSNEG (FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_SSASHL (FIXED_C_TYPE, word_type); +#endif + +#else /* Unsigned types. */ +#define PADDING_BITS (FIXED_WIDTH - I_F_BITS) +#define NONPADDING_BITS (I_F_BITS) + +#if defined (MODE_NAME) +#define FIXED_UDIV FIXED_UDIV_TEMP(MODE_NAME_S) +#define FIXED_LSHR FIXED_LSHR_TEMP(MODE_NAME_S) +#define FIXED_USDIV FIXED_USDIV_TEMP(MODE_NAME_S) +#define FIXED_USADD FIXED_USADD_TEMP(MODE_NAME_S) +#define FIXED_USSUB FIXED_USSUB_TEMP(MODE_NAME_S) +#define FIXED_USMUL FIXED_USMUL_TEMP(MODE_NAME_S) +#define FIXED_USNEG FIXED_USNEG_TEMP(MODE_NAME_S) +#define FIXED_USASHL FIXED_USASHL_TEMP(MODE_NAME_S) + +/* The following functions are for unsigned fixed-point modes. */ +extern FIXED_C_TYPE FIXED_UDIV (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_LSHR (FIXED_C_TYPE, word_type); +extern FIXED_C_TYPE FIXED_USADD (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_USSUB (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_USMUL (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_USDIV (FIXED_C_TYPE, FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_USNEG (FIXED_C_TYPE); +extern FIXED_C_TYPE FIXED_USASHL (FIXED_C_TYPE, word_type); +#endif + +#endif /* End of testing MODE_UNSIGNED. */ + +/* This define is to check if this mode have any padding bits. */ +#define HAVE_PADDING_BITS (PADDING_BITS > 0) + +/* ------------------------------------------------------------------------ */ +/* The following defines are for conversions. */ + +#if defined (FROM_QI) && HAVE_QI == 1 +#define FROM_TYPE 1 /* Signed integer. */ +#define FROM_INT_C_TYPE QItype +#define FROM_SINT_C_TYPE QItype +#define FROM_UINT_C_TYPE UQItype +#define FROM_MODE_NAME_S qi +#define FROM_INT_SIZE 1 /* in bytes. */ + +#elif defined (FROM_HI) && HAVE_HI == 1 +#define FROM_TYPE 1 /* Signed integer. */ +#define FROM_INT_C_TYPE HItype +#define FROM_SINT_C_TYPE HItype +#define FROM_UINT_C_TYPE UHItype +#define FROM_MODE_NAME_S hi +#define FROM_INT_SIZE 2 /* in bytes. */ + +#elif defined (FROM_SI) && HAVE_SI == 1 +#define FROM_TYPE 1 /* Signed integer. */ +#define FROM_INT_C_TYPE SItype +#define FROM_SINT_C_TYPE SItype +#define FROM_UINT_C_TYPE USItype +#define FROM_MODE_NAME_S si +#define FROM_INT_SIZE 4 /* in bytes. */ + +#elif defined (FROM_DI) && HAVE_DI == 1 +#define FROM_TYPE 1 /* Signed integer. */ +#define FROM_INT_C_TYPE DItype +#define FROM_SINT_C_TYPE DItype +#define FROM_UINT_C_TYPE UDItype +#define FROM_MODE_NAME_S di +#define FROM_INT_SIZE 8 /* in bytes. */ + +#elif defined (FROM_TI) && HAVE_TI == 1 +#define FROM_TYPE 1 /* Signed integer. */ +#define FROM_INT_C_TYPE TItype +#define FROM_SINT_C_TYPE TItype +#define FROM_UINT_C_TYPE UTItype +#define FROM_MODE_NAME_S ti +#define FROM_INT_SIZE 16 /* in bytes. */ + +#elif defined (FROM_UQI) && HAVE_UQI == 1 +#define FROM_TYPE 2 /* Unsigned integer. */ +#define FROM_INT_C_TYPE QItype +#define FROM_SINT_C_TYPE QItype +#define FROM_UINT_C_TYPE UQItype +#define FROM_MODE_NAME_S qi +#define FROM_INT_SIZE 1 /* in bytes. */ + +#elif defined (FROM_UHI) && HAVE_UHI == 1 +#define FROM_TYPE 2 /* Unsigned integer. */ +#define FROM_INT_C_TYPE UHItype +#define FROM_SINT_C_TYPE HItype +#define FROM_UINT_C_TYPE UHItype +#define FROM_MODE_NAME_S hi +#define FROM_INT_SIZE 2 /* in bytes. */ + +#elif defined (FROM_USI) && HAVE_USI == 1 +#define FROM_TYPE 2 /* Unsigned integer. */ +#define FROM_INT_C_TYPE USItype +#define FROM_SINT_C_TYPE SItype +#define FROM_UINT_C_TYPE USItype +#define FROM_MODE_NAME_S si +#define FROM_INT_SIZE 4 /* in bytes. */ + +#elif defined (FROM_UDI) && HAVE_UDI == 1 +#define FROM_TYPE 2 /* Unsigned integer. */ +#define FROM_INT_C_TYPE UDItype +#define FROM_SINT_C_TYPE DItype +#define FROM_UINT_C_TYPE UDItype +#define FROM_MODE_NAME_S di +#define FROM_INT_SIZE 8 /* in bytes. */ + +#elif defined (FROM_UTI) && HAVE_UTI == 1 +#define FROM_TYPE 2 /* Unsigned integer. */ +#define FROM_INT_C_TYPE UTItype +#define FROM_SINT_C_TYPE TItype +#define FROM_UINT_C_TYPE UTItype +#define FROM_MODE_NAME_S ti +#define FROM_INT_SIZE 16 /* in bytes. */ + +#elif defined (FROM_SF) && HAVE_SF == 1 +#define FROM_TYPE 3 /* Floating-point. */ +#define FROM_FLOAT_C_TYPE SFtype +#define FROM_MODE_NAME_S sf + +#elif defined (FROM_DF) && HAVE_DF == 1 +#define FROM_TYPE 3 /* Floating-point. */ +#define FROM_FLOAT_C_TYPE DFtype +#define FROM_MODE_NAME_S df + +#elif defined (FROM_QQ) && HAVE_QQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME QQ +#define FROM_MODE_NAME_S qq +#define FROM_INT_C_TYPE QItype +#define FROM_SINT_C_TYPE QItype +#define FROM_UINT_C_TYPE UQItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 1 /* in bytes. */ + +#elif defined (FROM_HQ) && HAVE_HQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME HQ +#define FROM_MODE_NAME_S hq +#define FROM_INT_C_TYPE HItype +#define FROM_SINT_C_TYPE HItype +#define FROM_UINT_C_TYPE UHItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (FROM_SQ) && HAVE_SQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME SQ +#define FROM_MODE_NAME_S sq +#define FROM_INT_C_TYPE SItype +#define FROM_SINT_C_TYPE SItype +#define FROM_UINT_C_TYPE USItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (FROM_DQ) && HAVE_DQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME DQ +#define FROM_MODE_NAME_S dq +#define FROM_INT_C_TYPE DItype +#define FROM_SINT_C_TYPE DItype +#define FROM_UINT_C_TYPE UDItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (FROM_TQ) && HAVE_TQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME TQ +#define FROM_MODE_NAME_S tq +#define FROM_INT_C_TYPE TItype +#define FROM_SINT_C_TYPE TItype +#define FROM_UINT_C_TYPE UTItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 16 /* in bytes. */ + +#elif defined (FROM_UQQ) && HAVE_UQQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UQQ +#define FROM_MODE_NAME_S uqq +#define FROM_INT_C_TYPE UQItype +#define FROM_SINT_C_TYPE QItype +#define FROM_UINT_C_TYPE UQItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 1 /* in bytes. */ + +#elif defined (FROM_UHQ) && HAVE_UHQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UHQ +#define FROM_MODE_NAME_S uhq +#define FROM_INT_C_TYPE UHItype +#define FROM_SINT_C_TYPE HItype +#define FROM_UINT_C_TYPE UHItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (FROM_USQ) && HAVE_USQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME USQ +#define FROM_MODE_NAME_S usq +#define FROM_INT_C_TYPE USItype +#define FROM_SINT_C_TYPE SItype +#define FROM_UINT_C_TYPE USItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (FROM_UDQ) && HAVE_UDQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UDQ +#define FROM_MODE_NAME_S udq +#define FROM_INT_C_TYPE UDItype +#define FROM_SINT_C_TYPE DItype +#define FROM_UINT_C_TYPE UDItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (FROM_UTQ) && HAVE_UTQ == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UTQ +#define FROM_MODE_NAME_S utq +#define FROM_INT_C_TYPE UTItype +#define FROM_SINT_C_TYPE TItype +#define FROM_UINT_C_TYPE UTItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 16 /* in bytes. */ + +#elif defined (FROM_HA) && HAVE_HA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME HA +#define FROM_MODE_NAME_S ha +#define FROM_INT_C_TYPE HItype +#define FROM_SINT_C_TYPE HItype +#define FROM_UINT_C_TYPE UHItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (FROM_SA) && HAVE_SA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME SA +#define FROM_MODE_NAME_S sa +#define FROM_INT_C_TYPE SItype +#define FROM_SINT_C_TYPE SItype +#define FROM_UINT_C_TYPE USItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (FROM_DA) && HAVE_DA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME DA +#define FROM_MODE_NAME_S da +#define FROM_INT_C_TYPE DItype +#define FROM_SINT_C_TYPE DItype +#define FROM_UINT_C_TYPE UDItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (FROM_TA) && HAVE_TA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME TA +#define FROM_MODE_NAME_S ta +#define FROM_INT_C_TYPE TItype +#define FROM_SINT_C_TYPE TItype +#define FROM_UINT_C_TYPE UTItype +#define FROM_MODE_UNSIGNED 0 +#define FROM_FIXED_SIZE 16 /* in bytes. */ + +#elif defined (FROM_UHA) && HAVE_UHA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UHA +#define FROM_MODE_NAME_S uha +#define FROM_INT_C_TYPE UHItype +#define FROM_SINT_C_TYPE HItype +#define FROM_UINT_C_TYPE UHItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (FROM_USA) && HAVE_USA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME USA +#define FROM_MODE_NAME_S usa +#define FROM_INT_C_TYPE USItype +#define FROM_SINT_C_TYPE SItype +#define FROM_UINT_C_TYPE USItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (FROM_UDA) && HAVE_UDA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UDA +#define FROM_MODE_NAME_S uda +#define FROM_INT_C_TYPE UDItype +#define FROM_SINT_C_TYPE DItype +#define FROM_UINT_C_TYPE UDItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (FROM_UTA) && HAVE_UTA == 1 +#define FROM_TYPE 4 /* Fixed-point. */ +#define FROM_MODE_NAME UTA +#define FROM_MODE_NAME_S uta +#define FROM_INT_C_TYPE UTItype +#define FROM_SINT_C_TYPE TItype +#define FROM_UINT_C_TYPE UTItype +#define FROM_MODE_UNSIGNED 1 +#define FROM_FIXED_SIZE 16 /* in bytes. */ + +#endif + +#if defined (TO_QI) && HAVE_QI == 1 && !defined (FROM_QI) +#define TO_TYPE 1 /* Signed integer. */ +#define TO_INT_C_TYPE QItype +#define TO_SINT_C_TYPE QItype +#define TO_UINT_C_TYPE UQItype +#define TO_MODE_NAME_S qi + +#elif defined (TO_HI) && HAVE_HI == 1 && !defined (FROM_HI) +#define TO_TYPE 1 /* Signed integer. */ +#define TO_INT_C_TYPE HItype +#define TO_SINT_C_TYPE HItype +#define TO_UINT_C_TYPE UHItype +#define TO_MODE_NAME_S hi + +#elif defined (TO_SI) && HAVE_SI == 1 && !defined (FROM_SI) +#define TO_TYPE 1 /* Signed integer. */ +#define TO_INT_C_TYPE SItype +#define TO_SINT_C_TYPE SItype +#define TO_UINT_C_TYPE USItype +#define TO_MODE_NAME_S si + +#elif defined (TO_DI) && HAVE_DI == 1 && !defined (FROM_DI) +#define TO_TYPE 1 /* Signed integer. */ +#define TO_INT_C_TYPE DItype +#define TO_SINT_C_TYPE DItype +#define TO_UINT_C_TYPE UDItype +#define TO_MODE_NAME_S di + +#elif defined (TO_TI) && HAVE_TI == 1 && !defined (FROM_TI) +#define TO_TYPE 1 /* Signed integer. */ +#define TO_INT_C_TYPE TItype +#define TO_SINT_C_TYPE TItype +#define TO_UINT_C_TYPE UTItype +#define TO_MODE_NAME_S ti + +#elif defined (TO_UQI) && HAVE_UQI == 1 && !defined (FROM_UQI) +#define TO_TYPE 2 /* Unsigned integer. */ +#define TO_INT_C_TYPE UQItype +#define TO_SINT_C_TYPE QItype +#define TO_UINT_C_TYPE UQItype +#define TO_MODE_NAME_S qi + +#elif defined (TO_UHI) && HAVE_UHI == 1 && !defined (FROM_UHI) +#define TO_TYPE 2 /* Unsigned integer. */ +#define TO_INT_C_TYPE UHItype +#define TO_SINT_C_TYPE HItype +#define TO_UINT_C_TYPE UHItype +#define TO_MODE_NAME_S hi + +#elif defined (TO_USI) && HAVE_USI == 1 && !defined (FROM_USI) +#define TO_TYPE 2 /* Unsigned integer. */ +#define TO_INT_C_TYPE USItype +#define TO_SINT_C_TYPE SItype +#define TO_UINT_C_TYPE USItype +#define TO_MODE_NAME_S si + +#elif defined (TO_UDI) && HAVE_UDI == 1 && !defined (FROM_UDI) +#define TO_TYPE 2 /* Unsigned integer. */ +#define TO_INT_C_TYPE UDItype +#define TO_SINT_C_TYPE DItype +#define TO_UINT_C_TYPE UDItype +#define TO_MODE_NAME_S di + +#elif defined (TO_UTI) && HAVE_UTI == 1 && !defined (FROM_UTI) +#define TO_TYPE 2 /* Unsigned integer. */ +#define TO_INT_C_TYPE UTItype +#define TO_SINT_C_TYPE TItype +#define TO_UINT_C_TYPE UTItype +#define TO_MODE_NAME_S ti + +#elif defined (TO_SF) && HAVE_SF == 1 && !defined (FROM_SF) +#define TO_TYPE 3 /* Floating-point. */ +#define TO_FLOAT_C_TYPE SFtype +#define TO_MODE_NAME_S sf + +#elif defined (TO_DF) && HAVE_DF == 1 && !defined (FROM_DF) +#define TO_TYPE 3 /* Floating-point. */ +#define TO_FLOAT_C_TYPE DFtype +#define TO_MODE_NAME_S df + +#elif defined (TO_QQ) && HAVE_QQ == 1 && !defined (FROM_QQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME QQ +#define TO_MODE_NAME_S qq +#define TO_INT_C_TYPE QItype +#define TO_SINT_C_TYPE QItype +#define TO_UINT_C_TYPE UQItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 1 /* in bytes. */ + +#elif defined (TO_HQ) && HAVE_HQ == 1 && !defined (FROM_HQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME HQ +#define TO_MODE_NAME_S hq +#define TO_INT_C_TYPE HItype +#define TO_SINT_C_TYPE HItype +#define TO_UINT_C_TYPE UHItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (TO_SQ) && HAVE_SQ == 1 && !defined (FROM_SQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME SQ +#define TO_MODE_NAME_S sq +#define TO_INT_C_TYPE SItype +#define TO_SINT_C_TYPE SItype +#define TO_UINT_C_TYPE USItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (TO_DQ) && HAVE_DQ == 1 && !defined (FROM_DQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME DQ +#define TO_MODE_NAME_S dq +#define TO_INT_C_TYPE DItype +#define TO_SINT_C_TYPE DItype +#define TO_UINT_C_TYPE UDItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (TO_TQ) && HAVE_TQ == 1 && !defined (FROM_TQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME TQ +#define TO_MODE_NAME_S tq +#define TO_INT_C_TYPE TItype +#define TO_SINT_C_TYPE TItype +#define TO_UINT_C_TYPE UTItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 16 /* in bytes. */ + +#elif defined (TO_UQQ) && HAVE_UQQ == 1 && !defined (FROM_UQQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UQQ +#define TO_MODE_NAME_S uqq +#define TO_INT_C_TYPE UQItype +#define TO_SINT_C_TYPE QItype +#define TO_UINT_C_TYPE UQItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 1 /* in bytes. */ + +#elif defined (TO_UHQ) && HAVE_UHQ == 1 && !defined (FROM_UHQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UHQ +#define TO_MODE_NAME_S uhq +#define TO_INT_C_TYPE UHItype +#define TO_SINT_C_TYPE HItype +#define TO_UINT_C_TYPE UHItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (TO_USQ) && HAVE_USQ == 1 && !defined (FROM_USQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME USQ +#define TO_MODE_NAME_S usq +#define TO_INT_C_TYPE USItype +#define TO_SINT_C_TYPE SItype +#define TO_UINT_C_TYPE USItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (TO_UDQ) && HAVE_UDQ == 1 && !defined (FROM_UDQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UDQ +#define TO_MODE_NAME_S udq +#define TO_INT_C_TYPE UDItype +#define TO_SINT_C_TYPE DItype +#define TO_UINT_C_TYPE UDItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (TO_UTQ) && HAVE_UTQ == 1 && !defined (FROM_UTQ) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UTQ +#define TO_MODE_NAME_S utq +#define TO_INT_C_TYPE UTItype +#define TO_SINT_C_TYPE TItype +#define TO_UINT_C_TYPE UTItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 16 /* in bytes. */ + +#elif defined (TO_HA) && HAVE_HA == 1 && !defined (FROM_HA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME HA +#define TO_MODE_NAME_S ha +#define TO_INT_C_TYPE HItype +#define TO_SINT_C_TYPE HItype +#define TO_UINT_C_TYPE UHItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (TO_SA) && HAVE_SA == 1 && !defined (FROM_SA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME SA +#define TO_MODE_NAME_S sa +#define TO_INT_C_TYPE SItype +#define TO_SINT_C_TYPE SItype +#define TO_UINT_C_TYPE USItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (TO_DA) && HAVE_DA == 1 && !defined (FROM_DA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME DA +#define TO_MODE_NAME_S da +#define TO_INT_C_TYPE DItype +#define TO_SINT_C_TYPE DItype +#define TO_UINT_C_TYPE UDItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (TO_TA) && HAVE_TA == 1 && !defined (FROM_TA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME TA +#define TO_MODE_NAME_S ta +#define TO_INT_C_TYPE TItype +#define TO_SINT_C_TYPE TItype +#define TO_UINT_C_TYPE UTItype +#define TO_MODE_UNSIGNED 0 +#define TO_FIXED_SIZE 16 /* in bytes. */ + +#elif defined (TO_UHA) && HAVE_UHA == 1 && !defined (FROM_UHA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UHA +#define TO_MODE_NAME_S uha +#define TO_INT_C_TYPE UHItype +#define TO_SINT_C_TYPE HItype +#define TO_UINT_C_TYPE UHItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 2 /* in bytes. */ + +#elif defined (TO_USA) && HAVE_USA == 1 && !defined (FROM_USA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME USA +#define TO_MODE_NAME_S usa +#define TO_INT_C_TYPE USItype +#define TO_SINT_C_TYPE SItype +#define TO_UINT_C_TYPE USItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 4 /* in bytes. */ + +#elif defined (TO_UDA) && HAVE_UDA == 1 && !defined (FROM_UDA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UDA +#define TO_MODE_NAME_S uda +#define TO_INT_C_TYPE UDItype +#define TO_SINT_C_TYPE DItype +#define TO_UINT_C_TYPE UDItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 8 /* in bytes. */ + +#elif defined (TO_UTA) && HAVE_UTA == 1 && !defined (FROM_UTA) +#define TO_TYPE 4 /* Fixed-point. */ +#define TO_MODE_NAME UTA +#define TO_MODE_NAME_S uta +#define TO_INT_C_TYPE UTItype +#define TO_SINT_C_TYPE TItype +#define TO_UINT_C_TYPE UTItype +#define TO_MODE_UNSIGNED 1 +#define TO_FIXED_SIZE 16 /* in bytes. */ + +#endif + +#if defined (FROM_MODE_NAME_S) && defined (TO_MODE_NAME_S) + +#if FROM_TYPE == 1 /* Signed integer. */ +#define FROM_INT_WIDTH (FROM_INT_SIZE * BITS_PER_UNIT) +#endif + +#if FROM_TYPE == 2 /* Unsigned integer. */ +#define FROM_INT_WIDTH (FROM_INT_SIZE * BITS_PER_UNIT) +#endif + +#if FROM_TYPE == 4 /* Fixed-point. */ +#define FROM_FIXED_C_TYPE FIXED_C_TYPE2(FROM_MODE_NAME) +#define FROM_FBITS FBITS2(FROM_MODE_NAME) +#define FROM_FIXED_WIDTH (FROM_FIXED_SIZE * BITS_PER_UNIT) +#define FROM_FBITS FBITS2(FROM_MODE_NAME) +#define FROM_IBITS IBITS2(FROM_MODE_NAME) +#define FROM_I_F_BITS (FROM_FBITS + FROM_IBITS) + +#if FROM_MODE_UNSIGNED == 0 /* Signed types. */ +#define FROM_PADDING_BITS (FROM_FIXED_WIDTH - 1 - FROM_I_F_BITS) +#define FROM_NONPADDING_BITS (1 + FROM_I_F_BITS) +#else /* Unsigned types. */ +#define FROM_PADDING_BITS (FROM_FIXED_WIDTH - FROM_I_F_BITS) +#define FROM_NONPADDING_BITS (FROM_I_F_BITS) +#endif +#define FROM_HAVE_PADDING_BITS (FROM_PADDING_BITS > 0) +#endif /* FROM_TYPE == 4 */ + +#if TO_TYPE == 4 /* Fixed-point. */ +#define TO_FIXED_C_TYPE FIXED_C_TYPE2(TO_MODE_NAME) +#define TO_FBITS FBITS2(TO_MODE_NAME) +#define TO_FIXED_WIDTH (TO_FIXED_SIZE * BITS_PER_UNIT) +#define TO_FBITS FBITS2(TO_MODE_NAME) +#define TO_IBITS IBITS2(TO_MODE_NAME) +#define TO_I_F_BITS (TO_FBITS + TO_IBITS) + +#if TO_MODE_UNSIGNED == 0 /* Signed types. */ +#define TO_PADDING_BITS (TO_FIXED_WIDTH - 1 - TO_I_F_BITS) +#define TO_NONPADDING_BITS (1 + TO_I_F_BITS) +#else /* Unsigned types. */ +#define TO_PADDING_BITS (TO_FIXED_WIDTH - TO_I_F_BITS) +#define TO_NONPADDING_BITS (TO_I_F_BITS) +#endif +#define TO_HAVE_PADDING_BITS (TO_PADDING_BITS > 0) +#endif /* TO_TYPE == 4 */ + +#ifdef LIBGCC2_FIXEDBIT_GNU_PREFIX +#define FIXED_CONVERT_OP(OP,FROM,TO) __gnu_ ## OP ## FROM ## TO +#define FIXED_CONVERT_OP2(OP,FROM,TO) __gnu_ ## OP ## FROM ## TO ## 2 +#else +#define FIXED_CONVERT_OP(OP,FROM,TO) __ ## OP ## FROM ## TO +#define FIXED_CONVERT_OP2(OP,FROM,TO) __ ## OP ## FROM ## TO ## 2 +#endif +#define FRACT_TEMP(N1,N2) FIXED_CONVERT_OP(fract,N1,N2) +#define FRACT2_TEMP(N1,N2) FIXED_CONVERT_OP2(fract,N1,N2) +#define SATFRACT_TEMP(N1,N2) FIXED_CONVERT_OP(satfract,N1,N2) +#define SATFRACT2_TEMP(N1,N2) FIXED_CONVERT_OP2(satfract,N1,N2) +#define FRACTUNS_TEMP(N1,N2) FIXED_CONVERT_OP(fractuns,N1,N2) +#define SATFRACTUNS_TEMP(N1,N2) FIXED_CONVERT_OP(satfractuns,N1,N2) + +/* Define conversions from fixed-point to fixed-point. */ +#if FROM_TYPE == 4 && TO_TYPE == 4 + +#if FROM_FIXED_SIZE > TO_FIXED_SIZE +#define BIG_SINT_C_TYPE FROM_SINT_C_TYPE +#define BIG_UINT_C_TYPE FROM_UINT_C_TYPE +#define BIG_WIDTH FROM_FIXED_WIDTH +#else +#define BIG_SINT_C_TYPE TO_SINT_C_TYPE +#define BIG_UINT_C_TYPE TO_UINT_C_TYPE +#define BIG_WIDTH TO_FIXED_WIDTH +#endif + +/* Check if FROM* and TO* are in the same machine class. */ +#if ((FROM_MODE_UNSIGNED == TO_MODE_UNSIGNED) \ + && ((FROM_IBITS == 0) == (TO_IBITS == 0))) +/* Same modes: append '2' to conversion function names */ +#define FRACT FRACT2_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#define SATFRACT SATFRACT2_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#else +/* Different modes: don't append '2' to conversion function names */ +#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#define SATFRACT SATFRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#endif + +extern TO_FIXED_C_TYPE FRACT (FROM_FIXED_C_TYPE); +extern TO_FIXED_C_TYPE SATFRACT (FROM_FIXED_C_TYPE); +#endif /* FROM_TYPE == 4 && TO_TYPE == 4 */ + +/* Define conversions from fixed-point to signed integer. */ +#if FROM_TYPE == 4 && TO_TYPE == 1 +#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +extern TO_INT_C_TYPE FRACT (FROM_FIXED_C_TYPE); +#endif /* FROM_TYPE == 4 && TO_TYPE == 1 */ + +/* Define conversions from fixed-point to unsigned integer. */ +#if FROM_TYPE == 4 && TO_TYPE == 2 +#define FRACTUNS FRACTUNS_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +extern TO_INT_C_TYPE FRACTUNS (FROM_FIXED_C_TYPE); +#endif /* FROM_TYPE == 4 && TO_TYPE == 2 */ + +/* Define conversions from fixed-point to floating-point. */ +#if FROM_TYPE == 4 && TO_TYPE == 3 +#define BASE1(NUM) 0x1.0p ## NUM +#define BASE2(NUM) BASE1(NUM) +#define BASE BASE2(FROM_FBITS) +#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +extern TO_FLOAT_C_TYPE FRACT (FROM_FIXED_C_TYPE); +#endif /* FROM_TYPE == 4 && TO_TYPE == 3 */ + +/* Define conversions from signed integer to fixed-point. */ +#if FROM_TYPE == 1 && TO_TYPE == 4 + +#if FROM_INT_SIZE > TO_FIXED_SIZE +#define BIG_SINT_C_TYPE FROM_SINT_C_TYPE +#define BIG_UINT_C_TYPE FROM_UINT_C_TYPE +#define BIG_WIDTH FROM_INT_WIDTH +#else +#define BIG_SINT_C_TYPE TO_SINT_C_TYPE +#define BIG_UINT_C_TYPE TO_UINT_C_TYPE +#define BIG_WIDTH TO_FIXED_WIDTH +#endif + +#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#define SATFRACT SATFRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +extern TO_FIXED_C_TYPE FRACT (FROM_INT_C_TYPE); +extern TO_FIXED_C_TYPE SATFRACT (FROM_INT_C_TYPE); +#endif /* FROM_TYPE == 1 && TO_TYPE == 4 */ + +/* Define conversions from unsigned integer to fixed-point. */ +#if FROM_TYPE == 2 && TO_TYPE == 4 + +#if FROM_INT_SIZE > TO_FIXED_SIZE +#define BIG_SINT_C_TYPE FROM_SINT_C_TYPE +#define BIG_UINT_C_TYPE FROM_UINT_C_TYPE +#define BIG_WIDTH FROM_INT_WIDTH +#else +#define BIG_SINT_C_TYPE TO_SINT_C_TYPE +#define BIG_UINT_C_TYPE TO_UINT_C_TYPE +#define BIG_WIDTH TO_FIXED_WIDTH +#endif + +#define FRACTUNS FRACTUNS_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#define SATFRACTUNS SATFRACTUNS_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +extern TO_FIXED_C_TYPE FRACTUNS (FROM_INT_C_TYPE); +extern TO_FIXED_C_TYPE SATFRACTUNS (FROM_INT_C_TYPE); +#endif /* FROM_TYPE == 2 && TO_TYPE == 4 */ + +/* Define conversions from floating-point to fixed-point. */ +#if FROM_TYPE == 3 && TO_TYPE == 4 + +#define BASE1(NUM) (0x1.0p ## NUM) +#define BASE2(NUM) BASE1(NUM) +#define BASE BASE2(TO_FBITS) + +#define FIXED_MAX1(NUM1,NUM2) (0x1.0p ## NUM1 - 0x1.0p- ## NUM2) +#define FIXED_MAX2(NUM1,NUM2) FIXED_MAX1(NUM1,NUM2) +#define FIXED_MAX FIXED_MAX2(TO_IBITS,TO_FBITS) + +#define FIXED_MIN1(NUM) (-0x1.0p ## NUM) +#define FIXED_MIN2(NUM) FIXED_MIN1(NUM) +#if TO_MODE_UNSIGNED == 0 +#define FIXED_MIN FIXED_MIN2(TO_IBITS) +#else +#define FIXED_MIN 0.0 +#endif + +#define FRACT FRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +#define SATFRACT SATFRACT_TEMP(FROM_MODE_NAME_S,TO_MODE_NAME_S) +extern TO_FIXED_C_TYPE FRACT (FROM_FLOAT_C_TYPE); +extern TO_FIXED_C_TYPE SATFRACT (FROM_FLOAT_C_TYPE); +#endif /* FROM_TYPE == 3 && TO_TYPE == 4 */ + +#endif /* defined (FROM_MODE_NAME_S) && defined (TO_MODE_NAME_S) */ + +#endif /* _FIXED_BIT_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/floatunsidf.c b/contrib/toolchain/gcc/5x/libgcc/floatunsidf.c new file mode 100644 index 0000000000..ff28112502 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/floatunsidf.c @@ -0,0 +1,15 @@ +/* Public domain. */ +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef float DFtype __attribute__ ((mode (DF))); + +DFtype +__floatunsidf (USItype u) +{ + SItype s = (SItype) u; + DFtype r = (DFtype) s; + if (s < 0) + r += (DFtype)2.0 * (DFtype) ((USItype) 1 + << (sizeof (USItype) * __CHAR_BIT__ - 1)); + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/floatunsisf.c b/contrib/toolchain/gcc/5x/libgcc/floatunsisf.c new file mode 100644 index 0000000000..11d4aa78cb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/floatunsisf.c @@ -0,0 +1,18 @@ +/* Public domain. */ +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef float SFtype __attribute__ ((mode (SF))); + +SFtype +__floatunsisf (USItype u) +{ + SItype s = (SItype) u; + if (s < 0) + { + /* As in expand_float, compute (u & 1) | (u >> 1) to ensure + correct rounding if a nonzero bit is shifted out. */ + return (SFtype) 2.0 * (SFtype) (SItype) ((u & 1) | (u >> 1)); + } + else + return (SFtype) s; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/floatunsitf.c b/contrib/toolchain/gcc/5x/libgcc/floatunsitf.c new file mode 100644 index 0000000000..955d67666c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/floatunsitf.c @@ -0,0 +1,15 @@ +/* Public domain. */ +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef float TFtype __attribute__ ((mode (TF))); + +TFtype +__floatunsitf (USItype u) +{ + SItype s = (SItype) u; + TFtype r = (TFtype) s; + if (s < 0) + r += (TFtype)2.0 * (TFtype) ((USItype) 1 + << (sizeof (USItype) * __CHAR_BIT__ - 1)); + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/floatunsixf.c b/contrib/toolchain/gcc/5x/libgcc/floatunsixf.c new file mode 100644 index 0000000000..52511688da --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/floatunsixf.c @@ -0,0 +1,15 @@ +/* Public domain. */ +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef float XFtype __attribute__ ((mode (XF))); + +XFtype +__floatunsixf (USItype u) +{ + SItype s = (SItype) u; + XFtype r = (XFtype) s; + if (s < 0) + r += (XFtype)2.0 * (XFtype) ((USItype) 1 + << (sizeof (USItype) * __CHAR_BIT__ - 1)); + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/fp-bit.c b/contrib/toolchain/gcc/5x/libgcc/fp-bit.c new file mode 100644 index 0000000000..c24d553fcb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/fp-bit.c @@ -0,0 +1,1646 @@ +/* This is a software floating point library which can be used + for targets without hardware floating point. + Copyright (C) 1994-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This implements IEEE 754 format arithmetic, but does not provide a + mechanism for setting the rounding mode, or for generating or handling + exceptions. + + The original code by Steve Chamberlain, hacked by Mark Eichin and Jim + Wilson, all of Cygnus Support. */ + +/* The intended way to use this file is to make two copies, add `#define FLOAT' + to one copy, then compile both copies and add them to libgcc.a. */ + +#include "tconfig.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "fp-bit.h" + +/* The following macros can be defined to change the behavior of this file: + FLOAT: Implement a `float', aka SFmode, fp library. If this is not + defined, then this file implements a `double', aka DFmode, fp library. + FLOAT_ONLY: Used with FLOAT, to implement a `float' only library, i.e. + don't include float->double conversion which requires the double library. + This is useful only for machines which can't support doubles, e.g. some + 8-bit processors. + CMPtype: Specify the type that floating point compares should return. + This defaults to SItype, aka int. + _DEBUG_BITFLOAT: This makes debugging the code a little easier, by adding + two integers to the FLO_union_type. + NO_DENORMALS: Disable handling of denormals. + NO_NANS: Disable nan and infinity handling + SMALL_MACHINE: Useful when operations on QIs and HIs are faster + than on an SI */ + +/* We don't currently support extended floats (long doubles) on machines + without hardware to deal with them. + + These stubs are just to keep the linker from complaining about unresolved + references which can be pulled in from libio & libstdc++, even if the + user isn't using long doubles. However, they may generate an unresolved + external to abort if abort is not used by the function, and the stubs + are referenced from within libc, since libgcc goes before and after the + system library. */ + +#ifdef DECLARE_LIBRARY_RENAMES + DECLARE_LIBRARY_RENAMES +#endif + +#ifdef EXTENDED_FLOAT_STUBS +extern void abort (void); +void __extendsfxf2 (void) { abort(); } +void __extenddfxf2 (void) { abort(); } +void __truncxfdf2 (void) { abort(); } +void __truncxfsf2 (void) { abort(); } +void __fixxfsi (void) { abort(); } +void __floatsixf (void) { abort(); } +void __addxf3 (void) { abort(); } +void __subxf3 (void) { abort(); } +void __mulxf3 (void) { abort(); } +void __divxf3 (void) { abort(); } +void __negxf2 (void) { abort(); } +void __eqxf2 (void) { abort(); } +void __nexf2 (void) { abort(); } +void __gtxf2 (void) { abort(); } +void __gexf2 (void) { abort(); } +void __lexf2 (void) { abort(); } +void __ltxf2 (void) { abort(); } + +void __extendsftf2 (void) { abort(); } +void __extenddftf2 (void) { abort(); } +void __trunctfdf2 (void) { abort(); } +void __trunctfsf2 (void) { abort(); } +void __fixtfsi (void) { abort(); } +void __floatsitf (void) { abort(); } +void __addtf3 (void) { abort(); } +void __subtf3 (void) { abort(); } +void __multf3 (void) { abort(); } +void __divtf3 (void) { abort(); } +void __negtf2 (void) { abort(); } +void __eqtf2 (void) { abort(); } +void __netf2 (void) { abort(); } +void __gttf2 (void) { abort(); } +void __getf2 (void) { abort(); } +void __letf2 (void) { abort(); } +void __lttf2 (void) { abort(); } +#else /* !EXTENDED_FLOAT_STUBS, rest of file */ + +/* IEEE "special" number predicates */ + +#ifdef NO_NANS + +#define nan() 0 +#define isnan(x) 0 +#define isinf(x) 0 +#else + +#if defined L_thenan_sf +const fp_number_type __thenan_sf = { CLASS_SNAN, 0, 0, {(fractype) 0} }; +#elif defined L_thenan_df +const fp_number_type __thenan_df = { CLASS_SNAN, 0, 0, {(fractype) 0} }; +#elif defined L_thenan_tf +const fp_number_type __thenan_tf = { CLASS_SNAN, 0, 0, {(fractype) 0} }; +#elif defined TFLOAT +extern const fp_number_type __thenan_tf; +#elif defined FLOAT +extern const fp_number_type __thenan_sf; +#else +extern const fp_number_type __thenan_df; +#endif + +INLINE +static const fp_number_type * +makenan (void) +{ +#ifdef TFLOAT + return & __thenan_tf; +#elif defined FLOAT + return & __thenan_sf; +#else + return & __thenan_df; +#endif +} + +INLINE +static int +isnan (const fp_number_type *x) +{ + return __builtin_expect (x->class == CLASS_SNAN || x->class == CLASS_QNAN, + 0); +} + +INLINE +static int +isinf (const fp_number_type * x) +{ + return __builtin_expect (x->class == CLASS_INFINITY, 0); +} + +#endif /* NO_NANS */ + +INLINE +static int +iszero (const fp_number_type * x) +{ + return x->class == CLASS_ZERO; +} + +INLINE +static void +flip_sign ( fp_number_type * x) +{ + x->sign = !x->sign; +} + +/* Count leading zeroes in N. */ +INLINE +static int +clzusi (USItype n) +{ + extern int __clzsi2 (USItype); + if (sizeof (USItype) == sizeof (unsigned int)) + return __builtin_clz (n); + else if (sizeof (USItype) == sizeof (unsigned long)) + return __builtin_clzl (n); + else if (sizeof (USItype) == sizeof (unsigned long long)) + return __builtin_clzll (n); + else + return __clzsi2 (n); +} + +extern FLO_type pack_d (const fp_number_type * ); + +#if defined(L_pack_df) || defined(L_pack_sf) || defined(L_pack_tf) +FLO_type +pack_d (const fp_number_type *src) +{ + FLO_union_type dst; + fractype fraction = src->fraction.ll; /* wasn't unsigned before? */ + int sign = src->sign; + int exp = 0; + + if (isnan (src)) + { + exp = EXPMAX; + /* Restore the NaN's payload. */ + fraction >>= NGARDS; + fraction &= QUIET_NAN - 1; + if (src->class == CLASS_QNAN || 1) + { +#ifdef QUIET_NAN_NEGATED + /* The quiet/signaling bit remains unset. */ + /* Make sure the fraction has a non-zero value. */ + if (fraction == 0) + fraction |= QUIET_NAN - 1; +#else + /* Set the quiet/signaling bit. */ + fraction |= QUIET_NAN; +#endif + } + } + else if (isinf (src)) + { + exp = EXPMAX; + fraction = 0; + } + else if (iszero (src)) + { + exp = 0; + fraction = 0; + } + else if (fraction == 0) + { + exp = 0; + } + else + { + if (__builtin_expect (src->normal_exp < NORMAL_EXPMIN, 0)) + { +#ifdef NO_DENORMALS + /* Go straight to a zero representation if denormals are not + supported. The denormal handling would be harmless but + isn't unnecessary. */ + exp = 0; + fraction = 0; +#else /* NO_DENORMALS */ + /* This number's exponent is too low to fit into the bits + available in the number, so we'll store 0 in the exponent and + shift the fraction to the right to make up for it. */ + + int shift = NORMAL_EXPMIN - src->normal_exp; + + exp = 0; + + if (shift > FRAC_NBITS - NGARDS) + { + /* No point shifting, since it's more that 64 out. */ + fraction = 0; + } + else + { + int lowbit = (fraction & (((fractype)1 << shift) - 1)) ? 1 : 0; + fraction = (fraction >> shift) | lowbit; + } + if ((fraction & GARDMASK) == GARDMSB) + { + if ((fraction & (1 << NGARDS))) + fraction += GARDROUND + 1; + } + else + { + /* Add to the guards to round up. */ + fraction += GARDROUND; + } + /* Perhaps the rounding means we now need to change the + exponent, because the fraction is no longer denormal. */ + if (fraction >= IMPLICIT_1) + { + exp += 1; + } + fraction >>= NGARDS; +#endif /* NO_DENORMALS */ + } + else if (__builtin_expect (src->normal_exp > EXPBIAS, 0)) + { + exp = EXPMAX; + fraction = 0; + } + else + { + exp = src->normal_exp + EXPBIAS; + /* IF the gard bits are the all zero, but the first, then we're + half way between two numbers, choose the one which makes the + lsb of the answer 0. */ + if ((fraction & GARDMASK) == GARDMSB) + { + if (fraction & (1 << NGARDS)) + fraction += GARDROUND + 1; + } + else + { + /* Add a one to the guards to round up */ + fraction += GARDROUND; + } + if (fraction >= IMPLICIT_2) + { + fraction >>= 1; + exp += 1; + } + fraction >>= NGARDS; + } + } + + /* We previously used bitfields to store the number, but this doesn't + handle little/big endian systems conveniently, so use shifts and + masks */ +#ifdef FLOAT_BIT_ORDER_MISMATCH + dst.bits.fraction = fraction; + dst.bits.exp = exp; + dst.bits.sign = sign; +#else +# if defined TFLOAT && defined HALFFRACBITS + { + halffractype high, low, unity; + int lowsign, lowexp; + + unity = (halffractype) 1 << HALFFRACBITS; + + /* Set HIGH to the high double's significand, masking out the implicit 1. + Set LOW to the low double's full significand. */ + high = (fraction >> (FRACBITS - HALFFRACBITS)) & (unity - 1); + low = fraction & (unity * 2 - 1); + + /* Get the initial sign and exponent of the low double. */ + lowexp = exp - HALFFRACBITS - 1; + lowsign = sign; + + /* HIGH should be rounded like a normal double, making |LOW| <= + 0.5 ULP of HIGH. Assume round-to-nearest. */ + if (exp < EXPMAX) + if (low > unity || (low == unity && (high & 1) == 1)) + { + /* Round HIGH up and adjust LOW to match. */ + high++; + if (high == unity) + { + /* May make it infinite, but that's OK. */ + high = 0; + exp++; + } + low = unity * 2 - low; + lowsign ^= 1; + } + + high |= (halffractype) exp << HALFFRACBITS; + high |= (halffractype) sign << (HALFFRACBITS + EXPBITS); + + if (exp == EXPMAX || exp == 0 || low == 0) + low = 0; + else + { + while (lowexp > 0 && low < unity) + { + low <<= 1; + lowexp--; + } + + if (lowexp <= 0) + { + halffractype roundmsb, round; + int shift; + + shift = 1 - lowexp; + roundmsb = (1 << (shift - 1)); + round = low & ((roundmsb << 1) - 1); + + low >>= shift; + lowexp = 0; + + if (round > roundmsb || (round == roundmsb && (low & 1) == 1)) + { + low++; + if (low == unity) + /* LOW rounds up to the smallest normal number. */ + lowexp++; + } + } + + low &= unity - 1; + low |= (halffractype) lowexp << HALFFRACBITS; + low |= (halffractype) lowsign << (HALFFRACBITS + EXPBITS); + } + dst.value_raw = ((fractype) high << HALFSHIFT) | low; + } +# else + dst.value_raw = fraction & ((((fractype)1) << FRACBITS) - (fractype)1); + dst.value_raw |= ((fractype) (exp & ((1 << EXPBITS) - 1))) << FRACBITS; + dst.value_raw |= ((fractype) (sign & 1)) << (FRACBITS | EXPBITS); +# endif +#endif + +#if defined(FLOAT_WORD_ORDER_MISMATCH) && !defined(FLOAT) +#ifdef TFLOAT + { + qrtrfractype tmp1 = dst.words[0]; + qrtrfractype tmp2 = dst.words[1]; + dst.words[0] = dst.words[3]; + dst.words[1] = dst.words[2]; + dst.words[2] = tmp2; + dst.words[3] = tmp1; + } +#else + { + halffractype tmp = dst.words[0]; + dst.words[0] = dst.words[1]; + dst.words[1] = tmp; + } +#endif +#endif + + return dst.value; +} +#endif + +#if defined(L_unpack_df) || defined(L_unpack_sf) || defined(L_unpack_tf) +void +unpack_d (FLO_union_type * src, fp_number_type * dst) +{ + /* We previously used bitfields to store the number, but this doesn't + handle little/big endian systems conveniently, so use shifts and + masks */ + fractype fraction; + int exp; + int sign; + +#if defined(FLOAT_WORD_ORDER_MISMATCH) && !defined(FLOAT) + FLO_union_type swapped; + +#ifdef TFLOAT + swapped.words[0] = src->words[3]; + swapped.words[1] = src->words[2]; + swapped.words[2] = src->words[1]; + swapped.words[3] = src->words[0]; +#else + swapped.words[0] = src->words[1]; + swapped.words[1] = src->words[0]; +#endif + src = &swapped; +#endif + +#ifdef FLOAT_BIT_ORDER_MISMATCH + fraction = src->bits.fraction; + exp = src->bits.exp; + sign = src->bits.sign; +#else +# if defined TFLOAT && defined HALFFRACBITS + { + halffractype high, low; + + high = src->value_raw >> HALFSHIFT; + low = src->value_raw & (((fractype)1 << HALFSHIFT) - 1); + + fraction = high & ((((fractype)1) << HALFFRACBITS) - 1); + fraction <<= FRACBITS - HALFFRACBITS; + exp = ((int)(high >> HALFFRACBITS)) & ((1 << EXPBITS) - 1); + sign = ((int)(high >> (((HALFFRACBITS + EXPBITS))))) & 1; + + if (exp != EXPMAX && exp != 0 && low != 0) + { + int lowexp = ((int)(low >> HALFFRACBITS)) & ((1 << EXPBITS) - 1); + int lowsign = ((int)(low >> (((HALFFRACBITS + EXPBITS))))) & 1; + int shift; + fractype xlow; + + xlow = low & ((((fractype)1) << HALFFRACBITS) - 1); + if (lowexp) + xlow |= (((halffractype)1) << HALFFRACBITS); + else + lowexp = 1; + shift = (FRACBITS - HALFFRACBITS) - (exp - lowexp); + if (shift > 0) + xlow <<= shift; + else if (shift < 0) + xlow >>= -shift; + if (sign == lowsign) + fraction += xlow; + else if (fraction >= xlow) + fraction -= xlow; + else + { + /* The high part is a power of two but the full number is lower. + This code will leave the implicit 1 in FRACTION, but we'd + have added that below anyway. */ + fraction = (((fractype) 1 << FRACBITS) - xlow) << 1; + exp--; + } + } + } +# else + fraction = src->value_raw & ((((fractype)1) << FRACBITS) - 1); + exp = ((int)(src->value_raw >> FRACBITS)) & ((1 << EXPBITS) - 1); + sign = ((int)(src->value_raw >> (FRACBITS + EXPBITS))) & 1; +# endif +#endif + + dst->sign = sign; + if (exp == 0) + { + /* Hmm. Looks like 0 */ + if (fraction == 0 +#ifdef NO_DENORMALS + || 1 +#endif + ) + { + /* tastes like zero */ + dst->class = CLASS_ZERO; + } + else + { + /* Zero exponent with nonzero fraction - it's denormalized, + so there isn't a leading implicit one - we'll shift it so + it gets one. */ + dst->normal_exp = exp - EXPBIAS + 1; + fraction <<= NGARDS; + + dst->class = CLASS_NUMBER; +#if 1 + while (fraction < IMPLICIT_1) + { + fraction <<= 1; + dst->normal_exp--; + } +#endif + dst->fraction.ll = fraction; + } + } + else if (__builtin_expect (exp == EXPMAX, 0)) + { + /* Huge exponent*/ + if (fraction == 0) + { + /* Attached to a zero fraction - means infinity */ + dst->class = CLASS_INFINITY; + } + else + { + /* Nonzero fraction, means nan */ +#ifdef QUIET_NAN_NEGATED + if ((fraction & QUIET_NAN) == 0) +#else + if (fraction & QUIET_NAN) +#endif + { + dst->class = CLASS_QNAN; + } + else + { + dst->class = CLASS_SNAN; + } + /* Now that we know which kind of NaN we got, discard the + quiet/signaling bit, but do preserve the NaN payload. */ + fraction &= ~QUIET_NAN; + dst->fraction.ll = fraction << NGARDS; + } + } + else + { + /* Nothing strange about this number */ + dst->normal_exp = exp - EXPBIAS; + dst->class = CLASS_NUMBER; + dst->fraction.ll = (fraction << NGARDS) | IMPLICIT_1; + } +} +#endif /* L_unpack_df || L_unpack_sf */ + +#if defined(L_addsub_sf) || defined(L_addsub_df) || defined(L_addsub_tf) +static const fp_number_type * +_fpadd_parts (fp_number_type * a, + fp_number_type * b, + fp_number_type * tmp) +{ + intfrac tfraction; + + /* Put commonly used fields in local variables. */ + int a_normal_exp; + int b_normal_exp; + fractype a_fraction; + fractype b_fraction; + + if (isnan (a)) + { + return a; + } + if (isnan (b)) + { + return b; + } + if (isinf (a)) + { + /* Adding infinities with opposite signs yields a NaN. */ + if (isinf (b) && a->sign != b->sign) + return makenan (); + return a; + } + if (isinf (b)) + { + return b; + } + if (iszero (b)) + { + if (iszero (a)) + { + *tmp = *a; + tmp->sign = a->sign & b->sign; + return tmp; + } + return a; + } + if (iszero (a)) + { + return b; + } + + /* Got two numbers. shift the smaller and increment the exponent till + they're the same */ + { + int diff; + int sdiff; + + a_normal_exp = a->normal_exp; + b_normal_exp = b->normal_exp; + a_fraction = a->fraction.ll; + b_fraction = b->fraction.ll; + + diff = a_normal_exp - b_normal_exp; + sdiff = diff; + + if (diff < 0) + diff = -diff; + if (diff < FRAC_NBITS) + { + if (sdiff > 0) + { + b_normal_exp += diff; + LSHIFT (b_fraction, diff); + } + else if (sdiff < 0) + { + a_normal_exp += diff; + LSHIFT (a_fraction, diff); + } + } + else + { + /* Somethings's up.. choose the biggest */ + if (a_normal_exp > b_normal_exp) + { + b_normal_exp = a_normal_exp; + b_fraction = 0; + } + else + { + a_normal_exp = b_normal_exp; + a_fraction = 0; + } + } + } + + if (a->sign != b->sign) + { + if (a->sign) + { + tfraction = -a_fraction + b_fraction; + } + else + { + tfraction = a_fraction - b_fraction; + } + if (tfraction >= 0) + { + tmp->sign = 0; + tmp->normal_exp = a_normal_exp; + tmp->fraction.ll = tfraction; + } + else + { + tmp->sign = 1; + tmp->normal_exp = a_normal_exp; + tmp->fraction.ll = -tfraction; + } + /* and renormalize it */ + + while (tmp->fraction.ll < IMPLICIT_1 && tmp->fraction.ll) + { + tmp->fraction.ll <<= 1; + tmp->normal_exp--; + } + } + else + { + tmp->sign = a->sign; + tmp->normal_exp = a_normal_exp; + tmp->fraction.ll = a_fraction + b_fraction; + } + tmp->class = CLASS_NUMBER; + /* Now the fraction is added, we have to shift down to renormalize the + number */ + + if (tmp->fraction.ll >= IMPLICIT_2) + { + LSHIFT (tmp->fraction.ll, 1); + tmp->normal_exp++; + } + return tmp; +} + +FLO_type +add (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + fp_number_type tmp; + const fp_number_type *res; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + res = _fpadd_parts (&a, &b, &tmp); + + return pack_d (res); +} + +FLO_type +sub (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + fp_number_type tmp; + const fp_number_type *res; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + b.sign ^= 1; + + res = _fpadd_parts (&a, &b, &tmp); + + return pack_d (res); +} +#endif /* L_addsub_sf || L_addsub_df */ + +#if defined(L_mul_sf) || defined(L_mul_df) || defined(L_mul_tf) +static inline __attribute__ ((__always_inline__)) const fp_number_type * +_fpmul_parts ( fp_number_type * a, + fp_number_type * b, + fp_number_type * tmp) +{ + fractype low = 0; + fractype high = 0; + + if (isnan (a)) + { + a->sign = a->sign != b->sign; + return a; + } + if (isnan (b)) + { + b->sign = a->sign != b->sign; + return b; + } + if (isinf (a)) + { + if (iszero (b)) + return makenan (); + a->sign = a->sign != b->sign; + return a; + } + if (isinf (b)) + { + if (iszero (a)) + { + return makenan (); + } + b->sign = a->sign != b->sign; + return b; + } + if (iszero (a)) + { + a->sign = a->sign != b->sign; + return a; + } + if (iszero (b)) + { + b->sign = a->sign != b->sign; + return b; + } + + /* Calculate the mantissa by multiplying both numbers to get a + twice-as-wide number. */ + { +#if defined(NO_DI_MODE) || defined(TFLOAT) + { + fractype x = a->fraction.ll; + fractype ylow = b->fraction.ll; + fractype yhigh = 0; + int bit; + + /* ??? This does multiplies one bit at a time. Optimize. */ + for (bit = 0; bit < FRAC_NBITS; bit++) + { + int carry; + + if (x & 1) + { + carry = (low += ylow) < ylow; + high += yhigh + carry; + } + yhigh <<= 1; + if (ylow & FRACHIGH) + { + yhigh |= 1; + } + ylow <<= 1; + x >>= 1; + } + } +#elif defined(FLOAT) + /* Multiplying two USIs to get a UDI, we're safe. */ + { + UDItype answer = (UDItype)a->fraction.ll * (UDItype)b->fraction.ll; + + high = answer >> BITS_PER_SI; + low = answer; + } +#else + /* fractype is DImode, but we need the result to be twice as wide. + Assuming a widening multiply from DImode to TImode is not + available, build one by hand. */ + { + USItype nl = a->fraction.ll; + USItype nh = a->fraction.ll >> BITS_PER_SI; + USItype ml = b->fraction.ll; + USItype mh = b->fraction.ll >> BITS_PER_SI; + UDItype pp_ll = (UDItype) ml * nl; + UDItype pp_hl = (UDItype) mh * nl; + UDItype pp_lh = (UDItype) ml * nh; + UDItype pp_hh = (UDItype) mh * nh; + UDItype res2 = 0; + UDItype res0 = 0; + UDItype ps_hh__ = pp_hl + pp_lh; + if (ps_hh__ < pp_hl) + res2 += (UDItype)1 << BITS_PER_SI; + pp_hl = (UDItype)(USItype)ps_hh__ << BITS_PER_SI; + res0 = pp_ll + pp_hl; + if (res0 < pp_ll) + res2++; + res2 += (ps_hh__ >> BITS_PER_SI) + pp_hh; + high = res2; + low = res0; + } +#endif + } + + tmp->normal_exp = a->normal_exp + b->normal_exp + + FRAC_NBITS - (FRACBITS + NGARDS); + tmp->sign = a->sign != b->sign; + while (high >= IMPLICIT_2) + { + tmp->normal_exp++; + if (high & 1) + { + low >>= 1; + low |= FRACHIGH; + } + high >>= 1; + } + while (high < IMPLICIT_1) + { + tmp->normal_exp--; + + high <<= 1; + if (low & FRACHIGH) + high |= 1; + low <<= 1; + } + + if ((high & GARDMASK) == GARDMSB) + { + if (high & (1 << NGARDS)) + { + /* Because we're half way, we would round to even by adding + GARDROUND + 1, except that's also done in the packing + function, and rounding twice will lose precision and cause + the result to be too far off. Example: 32-bit floats with + bit patterns 0xfff * 0x3f800400 ~= 0xfff (less than 0.5ulp + off), not 0x1000 (more than 0.5ulp off). */ + } + else if (low) + { + /* We're a further than half way by a small amount corresponding + to the bits set in "low". Knowing that, we round here and + not in pack_d, because there we don't have "low" available + anymore. */ + high += GARDROUND + 1; + + /* Avoid further rounding in pack_d. */ + high &= ~(fractype) GARDMASK; + } + } + tmp->fraction.ll = high; + tmp->class = CLASS_NUMBER; + return tmp; +} + +FLO_type +multiply (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + fp_number_type tmp; + const fp_number_type *res; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + res = _fpmul_parts (&a, &b, &tmp); + + return pack_d (res); +} +#endif /* L_mul_sf || L_mul_df || L_mul_tf */ + +#if defined(L_div_sf) || defined(L_div_df) || defined(L_div_tf) +static inline __attribute__ ((__always_inline__)) const fp_number_type * +_fpdiv_parts (fp_number_type * a, + fp_number_type * b) +{ + fractype bit; + fractype numerator; + fractype denominator; + fractype quotient; + + if (isnan (a)) + { + return a; + } + if (isnan (b)) + { + return b; + } + + a->sign = a->sign ^ b->sign; + + if (isinf (a) || iszero (a)) + { + if (a->class == b->class) + return makenan (); + return a; + } + + if (isinf (b)) + { + a->fraction.ll = 0; + a->normal_exp = 0; + return a; + } + if (iszero (b)) + { + a->class = CLASS_INFINITY; + return a; + } + + /* Calculate the mantissa by multiplying both 64bit numbers to get a + 128 bit number */ + { + /* quotient = + ( numerator / denominator) * 2^(numerator exponent - denominator exponent) + */ + + a->normal_exp = a->normal_exp - b->normal_exp; + numerator = a->fraction.ll; + denominator = b->fraction.ll; + + if (numerator < denominator) + { + /* Fraction will be less than 1.0 */ + numerator *= 2; + a->normal_exp--; + } + bit = IMPLICIT_1; + quotient = 0; + /* ??? Does divide one bit at a time. Optimize. */ + while (bit) + { + if (numerator >= denominator) + { + quotient |= bit; + numerator -= denominator; + } + bit >>= 1; + numerator *= 2; + } + + if ((quotient & GARDMASK) == GARDMSB) + { + if (quotient & (1 << NGARDS)) + { + /* Because we're half way, we would round to even by adding + GARDROUND + 1, except that's also done in the packing + function, and rounding twice will lose precision and cause + the result to be too far off. */ + } + else if (numerator) + { + /* We're a further than half way by the small amount + corresponding to the bits set in "numerator". Knowing + that, we round here and not in pack_d, because there we + don't have "numerator" available anymore. */ + quotient += GARDROUND + 1; + + /* Avoid further rounding in pack_d. */ + quotient &= ~(fractype) GARDMASK; + } + } + + a->fraction.ll = quotient; + return (a); + } +} + +FLO_type +divide (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + const fp_number_type *res; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + res = _fpdiv_parts (&a, &b); + + return pack_d (res); +} +#endif /* L_div_sf || L_div_df */ + +#if defined(L_fpcmp_parts_sf) || defined(L_fpcmp_parts_df) \ + || defined(L_fpcmp_parts_tf) +/* according to the demo, fpcmp returns a comparison with 0... thus + a -1 + a==b -> 0 + a>b -> +1 + */ + +int +__fpcmp_parts (fp_number_type * a, fp_number_type * b) +{ +#if 0 + /* either nan -> unordered. Must be checked outside of this routine. */ + if (isnan (a) && isnan (b)) + { + return 1; /* still unordered! */ + } +#endif + + if (isnan (a) || isnan (b)) + { + return 1; /* how to indicate unordered compare? */ + } + if (isinf (a) && isinf (b)) + { + /* +inf > -inf, but +inf != +inf */ + /* b \a| +inf(0)| -inf(1) + ______\+--------+-------- + +inf(0)| a==b(0)| ab(1) | a==b(0) + -------+--------+-------- + So since unordered must be nonzero, just line up the columns... + */ + return b->sign - a->sign; + } + /* but not both... */ + if (isinf (a)) + { + return a->sign ? -1 : 1; + } + if (isinf (b)) + { + return b->sign ? 1 : -1; + } + if (iszero (a) && iszero (b)) + { + return 0; + } + if (iszero (a)) + { + return b->sign ? 1 : -1; + } + if (iszero (b)) + { + return a->sign ? -1 : 1; + } + /* now both are "normal". */ + if (a->sign != b->sign) + { + /* opposite signs */ + return a->sign ? -1 : 1; + } + /* same sign; exponents? */ + if (a->normal_exp > b->normal_exp) + { + return a->sign ? -1 : 1; + } + if (a->normal_exp < b->normal_exp) + { + return a->sign ? 1 : -1; + } + /* same exponents; check size. */ + if (a->fraction.ll > b->fraction.ll) + { + return a->sign ? -1 : 1; + } + if (a->fraction.ll < b->fraction.ll) + { + return a->sign ? 1 : -1; + } + /* after all that, they're equal. */ + return 0; +} +#endif + +#if defined(L_compare_sf) || defined(L_compare_df) || defined(L_compoare_tf) +CMPtype +compare (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + return __fpcmp_parts (&a, &b); +} +#endif /* L_compare_sf || L_compare_df */ + +/* These should be optimized for their specific tasks someday. */ + +#if defined(L_eq_sf) || defined(L_eq_df) || defined(L_eq_tf) +CMPtype +_eq_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + if (isnan (&a) || isnan (&b)) + return 1; /* false, truth == 0 */ + + return __fpcmp_parts (&a, &b) ; +} +#endif /* L_eq_sf || L_eq_df */ + +#if defined(L_ne_sf) || defined(L_ne_df) || defined(L_ne_tf) +CMPtype +_ne_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + if (isnan (&a) || isnan (&b)) + return 1; /* true, truth != 0 */ + + return __fpcmp_parts (&a, &b) ; +} +#endif /* L_ne_sf || L_ne_df */ + +#if defined(L_gt_sf) || defined(L_gt_df) || defined(L_gt_tf) +CMPtype +_gt_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + if (isnan (&a) || isnan (&b)) + return -1; /* false, truth > 0 */ + + return __fpcmp_parts (&a, &b); +} +#endif /* L_gt_sf || L_gt_df */ + +#if defined(L_ge_sf) || defined(L_ge_df) || defined(L_ge_tf) +CMPtype +_ge_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + if (isnan (&a) || isnan (&b)) + return -1; /* false, truth >= 0 */ + return __fpcmp_parts (&a, &b) ; +} +#endif /* L_ge_sf || L_ge_df */ + +#if defined(L_lt_sf) || defined(L_lt_df) || defined(L_lt_tf) +CMPtype +_lt_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + if (isnan (&a) || isnan (&b)) + return 1; /* false, truth < 0 */ + + return __fpcmp_parts (&a, &b); +} +#endif /* L_lt_sf || L_lt_df */ + +#if defined(L_le_sf) || defined(L_le_df) || defined(L_le_tf) +CMPtype +_le_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + if (isnan (&a) || isnan (&b)) + return 1; /* false, truth <= 0 */ + + return __fpcmp_parts (&a, &b) ; +} +#endif /* L_le_sf || L_le_df */ + +#if defined(L_unord_sf) || defined(L_unord_df) || defined(L_unord_tf) +CMPtype +_unord_f2 (FLO_type arg_a, FLO_type arg_b) +{ + fp_number_type a; + fp_number_type b; + FLO_union_type au, bu; + + au.value = arg_a; + bu.value = arg_b; + + unpack_d (&au, &a); + unpack_d (&bu, &b); + + return (isnan (&a) || isnan (&b)); +} +#endif /* L_unord_sf || L_unord_df */ + +#if defined(L_si_to_sf) || defined(L_si_to_df) || defined(L_si_to_tf) +FLO_type +si_to_float (SItype arg_a) +{ + fp_number_type in; + + in.class = CLASS_NUMBER; + in.sign = arg_a < 0; + if (!arg_a) + { + in.class = CLASS_ZERO; + } + else + { + USItype uarg; + int shift; + in.normal_exp = FRACBITS + NGARDS; + if (in.sign) + { + /* Special case for minint, since there is no +ve integer + representation for it */ + if (arg_a == (- MAX_SI_INT - 1)) + { + return (FLO_type)(- MAX_SI_INT - 1); + } + uarg = (-arg_a); + } + else + uarg = arg_a; + + in.fraction.ll = uarg; + shift = clzusi (uarg) - (BITS_PER_SI - 1 - FRACBITS - NGARDS); + if (shift > 0) + { + in.fraction.ll <<= shift; + in.normal_exp -= shift; + } + } + return pack_d (&in); +} +#endif /* L_si_to_sf || L_si_to_df */ + +#if defined(L_usi_to_sf) || defined(L_usi_to_df) || defined(L_usi_to_tf) +FLO_type +usi_to_float (USItype arg_a) +{ + fp_number_type in; + + in.sign = 0; + if (!arg_a) + { + in.class = CLASS_ZERO; + } + else + { + int shift; + in.class = CLASS_NUMBER; + in.normal_exp = FRACBITS + NGARDS; + in.fraction.ll = arg_a; + + shift = clzusi (arg_a) - (BITS_PER_SI - 1 - FRACBITS - NGARDS); + if (shift < 0) + { + fractype guard = in.fraction.ll & (((fractype)1 << -shift) - 1); + in.fraction.ll >>= -shift; + in.fraction.ll |= (guard != 0); + in.normal_exp -= shift; + } + else if (shift > 0) + { + in.fraction.ll <<= shift; + in.normal_exp -= shift; + } + } + return pack_d (&in); +} +#endif + +#if defined(L_sf_to_si) || defined(L_df_to_si) || defined(L_tf_to_si) +SItype +float_to_si (FLO_type arg_a) +{ + fp_number_type a; + SItype tmp; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &a); + + if (iszero (&a)) + return 0; + if (isnan (&a)) + return 0; + /* get reasonable MAX_SI_INT... */ + if (isinf (&a)) + return a.sign ? (-MAX_SI_INT)-1 : MAX_SI_INT; + /* it is a number, but a small one */ + if (a.normal_exp < 0) + return 0; + if (a.normal_exp > BITS_PER_SI - 2) + return a.sign ? (-MAX_SI_INT)-1 : MAX_SI_INT; + tmp = a.fraction.ll >> ((FRACBITS + NGARDS) - a.normal_exp); + return a.sign ? (-tmp) : (tmp); +} +#endif /* L_sf_to_si || L_df_to_si */ + +#if defined(L_tf_to_usi) +USItype +float_to_usi (FLO_type arg_a) +{ + fp_number_type a; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &a); + + if (iszero (&a)) + return 0; + if (isnan (&a)) + return 0; + /* it is a negative number */ + if (a.sign) + return 0; + /* get reasonable MAX_USI_INT... */ + if (isinf (&a)) + return MAX_USI_INT; + /* it is a number, but a small one */ + if (a.normal_exp < 0) + return 0; + if (a.normal_exp > BITS_PER_SI - 1) + return MAX_USI_INT; + else if (a.normal_exp > (FRACBITS + NGARDS)) + return a.fraction.ll << (a.normal_exp - (FRACBITS + NGARDS)); + else + return a.fraction.ll >> ((FRACBITS + NGARDS) - a.normal_exp); +} +#endif /* L_tf_to_usi */ + +#if defined(L_negate_sf) || defined(L_negate_df) || defined(L_negate_tf) +FLO_type +negate (FLO_type arg_a) +{ + fp_number_type a; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &a); + + flip_sign (&a); + return pack_d (&a); +} +#endif /* L_negate_sf || L_negate_df */ + +#ifdef FLOAT + +#if defined(L_make_sf) +SFtype +__make_fp(fp_class_type class, + unsigned int sign, + int exp, + USItype frac) +{ + fp_number_type in; + + in.class = class; + in.sign = sign; + in.normal_exp = exp; + in.fraction.ll = frac; + return pack_d (&in); +} +#endif /* L_make_sf */ + +#ifndef FLOAT_ONLY + +/* This enables one to build an fp library that supports float but not double. + Otherwise, we would get an undefined reference to __make_dp. + This is needed for some 8-bit ports that can't handle well values that + are 8-bytes in size, so we just don't support double for them at all. */ + +#if defined(L_sf_to_df) +DFtype +sf_to_df (SFtype arg_a) +{ + fp_number_type in; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &in); + + return __make_dp (in.class, in.sign, in.normal_exp, + ((UDItype) in.fraction.ll) << F_D_BITOFF); +} +#endif /* L_sf_to_df */ + +#if defined(L_sf_to_tf) && defined(TMODES) +TFtype +sf_to_tf (SFtype arg_a) +{ + fp_number_type in; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &in); + + return __make_tp (in.class, in.sign, in.normal_exp, + ((UTItype) in.fraction.ll) << F_T_BITOFF); +} +#endif /* L_sf_to_df */ + +#endif /* ! FLOAT_ONLY */ +#endif /* FLOAT */ + +#ifndef FLOAT + +extern SFtype __make_fp (fp_class_type, unsigned int, int, USItype); + +#if defined(L_make_df) +DFtype +__make_dp (fp_class_type class, unsigned int sign, int exp, UDItype frac) +{ + fp_number_type in; + + in.class = class; + in.sign = sign; + in.normal_exp = exp; + in.fraction.ll = frac; + return pack_d (&in); +} +#endif /* L_make_df */ + +#if defined(L_df_to_sf) +SFtype +df_to_sf (DFtype arg_a) +{ + fp_number_type in; + USItype sffrac; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &in); + + sffrac = in.fraction.ll >> F_D_BITOFF; + + /* We set the lowest guard bit in SFFRAC if we discarded any non + zero bits. */ + if ((in.fraction.ll & (((USItype) 1 << F_D_BITOFF) - 1)) != 0) + sffrac |= 1; + + return __make_fp (in.class, in.sign, in.normal_exp, sffrac); +} +#endif /* L_df_to_sf */ + +#if defined(L_df_to_tf) && defined(TMODES) \ + && !defined(FLOAT) && !defined(TFLOAT) +TFtype +df_to_tf (DFtype arg_a) +{ + fp_number_type in; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &in); + + return __make_tp (in.class, in.sign, in.normal_exp, + ((UTItype) in.fraction.ll) << D_T_BITOFF); +} +#endif /* L_sf_to_df */ + +#ifdef TFLOAT +#if defined(L_make_tf) +TFtype +__make_tp(fp_class_type class, + unsigned int sign, + int exp, + UTItype frac) +{ + fp_number_type in; + + in.class = class; + in.sign = sign; + in.normal_exp = exp; + in.fraction.ll = frac; + return pack_d (&in); +} +#endif /* L_make_tf */ + +#if defined(L_tf_to_df) +DFtype +tf_to_df (TFtype arg_a) +{ + fp_number_type in; + UDItype sffrac; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &in); + + sffrac = in.fraction.ll >> D_T_BITOFF; + + /* We set the lowest guard bit in SFFRAC if we discarded any non + zero bits. */ + if ((in.fraction.ll & (((UTItype) 1 << D_T_BITOFF) - 1)) != 0) + sffrac |= 1; + + return __make_dp (in.class, in.sign, in.normal_exp, sffrac); +} +#endif /* L_tf_to_df */ + +#if defined(L_tf_to_sf) +SFtype +tf_to_sf (TFtype arg_a) +{ + fp_number_type in; + USItype sffrac; + FLO_union_type au; + + au.value = arg_a; + unpack_d (&au, &in); + + sffrac = in.fraction.ll >> F_T_BITOFF; + + /* We set the lowest guard bit in SFFRAC if we discarded any non + zero bits. */ + if ((in.fraction.ll & (((UTItype) 1 << F_T_BITOFF) - 1)) != 0) + sffrac |= 1; + + return __make_fp (in.class, in.sign, in.normal_exp, sffrac); +} +#endif /* L_tf_to_sf */ +#endif /* TFLOAT */ + +#endif /* ! FLOAT */ +#endif /* !EXTENDED_FLOAT_STUBS */ diff --git a/contrib/toolchain/gcc/5x/libgcc/fp-bit.h b/contrib/toolchain/gcc/5x/libgcc/fp-bit.h new file mode 100644 index 0000000000..d844f420fc --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/fp-bit.h @@ -0,0 +1,506 @@ +/* Header file for fp-bit.c. */ +/* Copyright (C) 2000-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_FP_BIT_H +#define GCC_FP_BIT_H + +/* Defining FINE_GRAINED_LIBRARIES allows one to select which routines + from this file are compiled via additional -D options. + + This avoids the need to pull in the entire fp emulation library + when only a small number of functions are needed. + + If FINE_GRAINED_LIBRARIES is not defined, then compile every + suitable routine. */ +#ifndef FINE_GRAINED_LIBRARIES +#define L_pack_df +#define L_unpack_df +#define L_pack_sf +#define L_unpack_sf +#define L_addsub_sf +#define L_addsub_df +#define L_mul_sf +#define L_mul_df +#define L_div_sf +#define L_div_df +#define L_fpcmp_parts_sf +#define L_fpcmp_parts_df +#define L_compare_sf +#define L_compare_df +#define L_eq_sf +#define L_eq_df +#define L_ne_sf +#define L_ne_df +#define L_gt_sf +#define L_gt_df +#define L_ge_sf +#define L_ge_df +#define L_lt_sf +#define L_lt_df +#define L_le_sf +#define L_le_df +#define L_unord_sf +#define L_unord_df +#define L_usi_to_sf +#define L_usi_to_df +#define L_si_to_sf +#define L_si_to_df +#define L_sf_to_si +#define L_df_to_si +#define L_f_to_usi +#define L_df_to_usi +#define L_negate_sf +#define L_negate_df +#define L_make_sf +#define L_make_df +#define L_sf_to_df +#define L_df_to_sf +#ifdef FLOAT +#define L_thenan_sf +#else +#define L_thenan_df +#endif +#endif /* ! FINE_GRAINED_LIBRARIES */ + +#if __LDBL_MANT_DIG__ == 113 || __LDBL_MANT_DIG__ == 106 +# if defined(TFLOAT) || defined(L_sf_to_tf) || defined(L_df_to_tf) +# define TMODES +# endif +#endif + +typedef float SFtype __attribute__ ((mode (SF))); +typedef float DFtype __attribute__ ((mode (DF))); +#ifdef TMODES +typedef float TFtype __attribute__ ((mode (TF))); +#endif + +typedef int HItype __attribute__ ((mode (HI))); +typedef int SItype __attribute__ ((mode (SI))); +typedef int DItype __attribute__ ((mode (DI))); +#ifdef TMODES +typedef int TItype __attribute__ ((mode (TI))); +#endif + +/* The type of the result of a floating point comparison. This must + match `__libgcc_cmp_return__' in GCC for the target. */ +#ifndef CMPtype +typedef int CMPtype __attribute__ ((mode (__libgcc_cmp_return__))); +#endif + +typedef unsigned int UHItype __attribute__ ((mode (HI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); +#ifdef TMODES +typedef unsigned int UTItype __attribute__ ((mode (TI))); +#endif + +#define MAX_USI_INT (~(USItype)0) +#define MAX_SI_INT ((SItype) (MAX_USI_INT >> 1)) +#define BITS_PER_SI (4 * BITS_PER_UNIT) +#ifdef TMODES +#define MAX_UDI_INT (~(UDItype)0) +#define MAX_DI_INT ((DItype) (MAX_UDI_INT >> 1)) +#define BITS_PER_DI (8 * BITS_PER_UNIT) +#endif + +#ifdef FLOAT_ONLY +#define NO_DI_MODE +#endif + +#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ +#define FLOAT_BIT_ORDER_MISMATCH +#endif + +#if __BYTE_ORDER__ != __FLOAT_WORD_ORDER__ +#define FLOAT_WORD_ORDER_MISMATCH +#endif + +#ifdef TFLOAT +# ifndef TMODES +# error "TFLOAT requires long double to have 113 bits of mantissa" +# endif + +# define PREFIXFPDP tp +# define PREFIXSFDF tf +# define NGARDS 10L /* Is this right? */ +# define GARDROUND 0x1ff +# define GARDMASK 0x3ff +# define GARDMSB 0x200 +# define FRAC_NBITS 128 + +# if __LDBL_MANT_DIG__ == 113 /* IEEE quad */ +# define EXPBITS 15 +# define EXPBIAS 16383 +# define EXPMAX (0x7fff) +# define QUIET_NAN ((TItype)0x8 << 108) +# define FRACHIGH ((TItype)0x8 << 124) +# define FRACHIGH2 ((TItype)0xc << 124) +# define FRACBITS 112 +# endif + +# if __LDBL_MANT_DIG__ == 106 /* IBM extended (double+double) */ +# define EXPBITS 11 +# define EXPBIAS 1023 +# define EXPMAX (0x7ff) +# define QUIET_NAN ((TItype)0x8 << (48 + 64)) +# define FRACHIGH ((TItype)0x8 << 124) +# define FRACHIGH2 ((TItype)0xc << 124) +# define FRACBITS 105 +# define HALFFRACBITS 52 +# define HALFSHIFT 64 +# endif + +# define pack_d __pack_t +# define unpack_d __unpack_t +# define __fpcmp_parts __fpcmp_parts_t + typedef UTItype fractype; + typedef UDItype halffractype; + typedef USItype qrtrfractype; +#define qrtrfractype qrtrfractype + typedef TFtype FLO_type; + typedef TItype intfrac; +#elif defined FLOAT +# define NGARDS 7L +# define GARDROUND 0x3f +# define GARDMASK 0x7f +# define GARDMSB 0x40 +# define EXPBITS 8 +# define EXPBIAS 127 +# define FRACBITS 23 +# define EXPMAX (0xff) +# define QUIET_NAN 0x400000L +# define FRAC_NBITS 32 +# define FRACHIGH 0x80000000L +# define FRACHIGH2 0xc0000000L +# define pack_d __pack_f +# define unpack_d __unpack_f +# define __fpcmp_parts __fpcmp_parts_f + typedef USItype fractype; + typedef UHItype halffractype; + typedef SFtype FLO_type; + typedef SItype intfrac; + +#else +# define PREFIXFPDP dp +# define PREFIXSFDF df +# define NGARDS 8L +# define GARDROUND 0x7f +# define GARDMASK 0xff +# define GARDMSB 0x80 +# define EXPBITS 11 +# define EXPBIAS 1023 +# define FRACBITS 52 +# define EXPMAX (0x7ff) +# define QUIET_NAN 0x8000000000000LL +# define FRAC_NBITS 64 +# define FRACHIGH 0x8000000000000000LL +# define FRACHIGH2 0xc000000000000000LL +# define pack_d __pack_d +# define unpack_d __unpack_d +# define __fpcmp_parts __fpcmp_parts_d + typedef UDItype fractype; + typedef USItype halffractype; + typedef DFtype FLO_type; + typedef DItype intfrac; +#endif /* FLOAT */ + +#ifdef TFLOAT +# define add __addtf3 +# define sub __subtf3 +# define multiply __multf3 +# define divide __divtf3 +# define compare __cmptf2 +# define _eq_f2 __eqtf2 +# define _ne_f2 __netf2 +# define _gt_f2 __gttf2 +# define _ge_f2 __getf2 +# define _lt_f2 __lttf2 +# define _le_f2 __letf2 +# define _unord_f2 __unordtf2 +# define usi_to_float __floatunsitf +# define si_to_float __floatsitf +# define float_to_si __fixtfsi +# define float_to_usi __fixunstfsi +# define negate __negtf2 +# define tf_to_sf __trunctfsf2 +# define tf_to_df __trunctfdf2 +#elif defined FLOAT +# define add __addsf3 +# define sub __subsf3 +# define multiply __mulsf3 +# define divide __divsf3 +# define compare __cmpsf2 +# define _eq_f2 __eqsf2 +# define _ne_f2 __nesf2 +# define _gt_f2 __gtsf2 +# define _ge_f2 __gesf2 +# define _lt_f2 __ltsf2 +# define _le_f2 __lesf2 +# define _unord_f2 __unordsf2 +# define usi_to_float __floatunsisf +# define si_to_float __floatsisf +# define float_to_si __fixsfsi +# define float_to_usi __fixunssfsi +# define negate __negsf2 +# define sf_to_df __extendsfdf2 +# define sf_to_tf __extendsftf2 +#else +# define add __adddf3 +# define sub __subdf3 +# define multiply __muldf3 +# define divide __divdf3 +# define compare __cmpdf2 +# define _eq_f2 __eqdf2 +# define _ne_f2 __nedf2 +# define _gt_f2 __gtdf2 +# define _ge_f2 __gedf2 +# define _lt_f2 __ltdf2 +# define _le_f2 __ledf2 +# define _unord_f2 __unorddf2 +# define usi_to_float __floatunsidf +# define si_to_float __floatsidf +# define float_to_si __fixdfsi +# define float_to_usi __fixunsdfsi +# define negate __negdf2 +# define df_to_sf __truncdfsf2 +# define df_to_tf __extenddftf2 +#endif /* FLOAT */ + +#ifndef INLINE +#define INLINE __inline__ +#endif + +/* Preserve the sticky-bit when shifting fractions to the right. */ +#define LSHIFT(a, s) { a = (a >> s) | !!(a & (((fractype) 1 << s) - 1)); } + +/* numeric parameters */ +/* F_D_BITOFF is the number of bits offset between the MSB of the mantissa + of a float and of a double. Assumes there are only two float types. + (double::FRAC_BITS+double::NGARDS-(float::FRAC_BITS+float::NGARDS)) + */ +#define F_D_BITOFF (52+8-(23+7)) + +#ifdef TMODES +# define F_T_BITOFF (__LDBL_MANT_DIG__-1+10-(23+7)) +# define D_T_BITOFF (__LDBL_MANT_DIG__-1+10-(52+8)) +#endif + + +#define NORMAL_EXPMIN (-(EXPBIAS)+1) +#define IMPLICIT_1 ((fractype)1<<(FRACBITS+NGARDS)) +#define IMPLICIT_2 ((fractype)1<<(FRACBITS+1+NGARDS)) + +/* common types */ + +typedef enum +{ + CLASS_SNAN, + CLASS_QNAN, + CLASS_ZERO, + CLASS_NUMBER, + CLASS_INFINITY +} fp_class_type; + +typedef struct +{ +#ifdef SMALL_MACHINE + char class; + unsigned char sign; + short normal_exp; +#else + fp_class_type class; + unsigned int sign; + int normal_exp; +#endif + + union + { + fractype ll; + halffractype l[2]; + } fraction; +} fp_number_type; + +typedef union +{ + FLO_type value; + fractype value_raw; + +#ifndef FLOAT +# ifdef qrtrfractype + qrtrfractype qwords[4]; +# else + halffractype words[2]; +# endif +#endif + +#ifdef FLOAT_BIT_ORDER_MISMATCH + struct + { + fractype fraction:FRACBITS __attribute__ ((packed)); + unsigned int exp:EXPBITS __attribute__ ((packed)); + unsigned int sign:1 __attribute__ ((packed)); + } + bits; +#endif + +#ifdef _DEBUG_BITFLOAT + struct + { + unsigned int sign:1 __attribute__ ((packed)); + unsigned int exp:EXPBITS __attribute__ ((packed)); + fractype fraction:FRACBITS __attribute__ ((packed)); + } + bits_big_endian; + + struct + { + fractype fraction:FRACBITS __attribute__ ((packed)); + unsigned int exp:EXPBITS __attribute__ ((packed)); + unsigned int sign:1 __attribute__ ((packed)); + } + bits_little_endian; +#endif +} +FLO_union_type; + +/* Prototypes. */ + +#if defined(L_pack_df) || defined(L_pack_sf) || defined(L_pack_tf) +extern FLO_type pack_d (const fp_number_type *); +#endif + +extern void unpack_d (FLO_union_type *, fp_number_type *); + +#if defined(L_addsub_sf) || defined(L_addsub_df) || defined(L_addsub_tf) +extern FLO_type add (FLO_type, FLO_type); +extern FLO_type sub (FLO_type, FLO_type); +#endif + +#if defined(L_mul_sf) || defined(L_mul_df) || defined(L_mul_tf) +extern FLO_type multiply (FLO_type, FLO_type); +#endif + +#if defined(L_div_sf) || defined(L_div_df) || defined(L_div_tf) +extern FLO_type divide (FLO_type, FLO_type); +#endif + +extern int __fpcmp_parts (fp_number_type *, fp_number_type *); + +#if defined(L_compare_sf) || defined(L_compare_df) || defined(L_compare_tf) +extern CMPtype compare (FLO_type, FLO_type); +#endif + +#if defined(L_eq_sf) || defined(L_eq_df) || defined(L_eq_tf) +extern CMPtype _eq_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_ne_sf) || defined(L_ne_df) || defined(L_ne_tf) +extern CMPtype _ne_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_gt_sf) || defined(L_gt_df) || defined(L_gt_tf) +extern CMPtype _gt_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_ge_sf) || defined(L_ge_df) || defined(L_ge_tf) +extern CMPtype _ge_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_lt_sf) || defined(L_lt_df) || defined(L_lt_tf) +extern CMPtype _lt_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_le_sf) || defined(L_le_df) || defined(L_le_tf) +extern CMPtype _le_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_unord_sf) || defined(L_unord_df) || defined(L_unord_tf) +extern CMPtype _unord_f2 (FLO_type, FLO_type); +#endif + +#if defined(L_si_to_sf) || defined(L_si_to_df) || defined(L_si_to_tf) +extern FLO_type si_to_float (SItype); +#endif + +#if defined(L_sf_to_si) || defined(L_df_to_si) || defined(L_tf_to_si) +extern SItype float_to_si (FLO_type); +#endif + +#if defined(L_tf_to_usi) +extern USItype float_to_usi (FLO_type); +#endif + +#if defined(L_usi_to_sf) || defined(L_usi_to_df) || defined(L_usi_to_tf) +extern FLO_type usi_to_float (USItype); +#endif + +#if defined(L_negate_sf) || defined(L_negate_df) || defined(L_negate_tf) +extern FLO_type negate (FLO_type); +#endif + +#ifdef FLOAT +#if defined(L_make_sf) +extern SFtype __make_fp (fp_class_type, unsigned int, int, USItype); +#endif +#ifndef FLOAT_ONLY +extern DFtype __make_dp (fp_class_type, unsigned int, int, UDItype); +#if defined(L_sf_to_df) +extern DFtype sf_to_df (SFtype); +#endif +#if defined(L_sf_to_tf) && defined(TMODES) +extern TFtype sf_to_tf (SFtype); +#endif +#endif /* ! FLOAT_ONLY */ +#endif /* FLOAT */ + +#ifndef FLOAT +extern SFtype __make_fp (fp_class_type, unsigned int, int, USItype); +#if defined(L_make_df) +extern DFtype __make_dp (fp_class_type, unsigned int, int, UDItype); +#endif +#if defined(L_df_to_sf) +extern SFtype df_to_sf (DFtype); +#endif +#if defined(L_df_to_tf) && defined(TMODES) +extern TFtype df_to_tf (DFtype); +#endif +#endif /* ! FLOAT */ + +#ifdef TMODES +extern DFtype __make_dp (fp_class_type, unsigned int, int, UDItype); +extern TFtype __make_tp (fp_class_type, unsigned int, int, UTItype); +#ifdef TFLOAT +#if defined(L_tf_to_sf) +extern SFtype tf_to_sf (TFtype); +#endif +#if defined(L_tf_to_df) +extern DFtype tf_to_df (TFtype); +#endif +#if defined(L_di_to_tf) +extern TFtype di_to_df (DItype); +#endif +#endif /* TFLOAT */ +#endif /* TMODES */ + +#endif /* ! GCC_FP_BIT_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/gbl-ctors.h b/contrib/toolchain/gcc/5x/libgcc/gbl-ctors.h new file mode 100644 index 0000000000..bd081611d7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/gbl-ctors.h @@ -0,0 +1,86 @@ +/* Definitions relating to the special __do_global_init function used + for getting g++ file-scope static objects constructed. This file + will get included either by libgcc2.c (for systems that don't support + a .init section) or by crtstuff.c (for those that do). + Copyright (C) 1991-2015 Free Software Foundation, Inc. + Contributed by Ron Guilmette (rfg@segfault.us.com) + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file contains definitions and declarations of things + relating to the normal start-up-time invocation of C++ + file-scope static object constructors. These declarations + and definitions are used by *both* libgcc2.c and by crtstuff.c. + + Note that this file should only be compiled with GCC. +*/ + +#ifndef GCC_GBL_CTORS_H +#define GCC_GBL_CTORS_H + +/* Declare a pointer to void function type. */ + +typedef void (*func_ptr) (void); + +/* Declare the set of symbols use as begin and end markers for the lists + of global object constructors and global object destructors. */ + +extern func_ptr __CTOR_LIST__[]; +extern func_ptr __DTOR_LIST__[]; + +/* Declare the routine which needs to get invoked at program start time. */ + +extern void __do_global_ctors (void); + +/* Declare the routine which needs to get invoked at program exit time. */ + +extern void __do_global_dtors (void); + +/* Define a macro with the code which needs to be executed at program + start-up time. This macro is used in two places in crtstuff.c (for + systems which support a .init section) and in one place in libgcc2.c + (for those system which do *not* support a .init section). For all + three places where this code might appear, it must be identical, so + we define it once here as a macro to avoid various instances getting + out-of-sync with one another. */ + +/* Some systems place the number of pointers + in the first word of the table. + On other systems, that word is -1. + In all cases, the table is null-terminated. + If the length is not recorded, count up to the null. */ + +/* Some systems use a different strategy for finding the ctors. + For example, svr3. */ +#ifndef DO_GLOBAL_CTORS_BODY +#define DO_GLOBAL_CTORS_BODY \ +do { \ + __SIZE_TYPE__ nptrs = (__SIZE_TYPE__) __CTOR_LIST__[0]; \ + unsigned i; \ + if (nptrs == (__SIZE_TYPE__)-1) \ + for (nptrs = 0; __CTOR_LIST__[nptrs + 1] != 0; nptrs++); \ + for (i = nptrs; i >= 1; i--) \ + __CTOR_LIST__[i] (); \ +} while (0) +#endif + +#endif /* GCC_GBL_CTORS_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/generic-morestack-thread.c b/contrib/toolchain/gcc/5x/libgcc/generic-morestack-thread.c new file mode 100644 index 0000000000..327d06ff03 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/generic-morestack-thread.c @@ -0,0 +1,164 @@ +/* Thread library support for -fsplit-stack. */ +/* Copyright (C) 2009-2015 Free Software Foundation, Inc. + Contributed by Ian Lance Taylor . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +/* If inhibit_libc is defined, we can not compile this file. The + effect is that people will not be able to use -fsplit-stack. That + is much better than failing the build particularly since people + will want to define inhibit_libc while building a compiler which + can build glibc. */ + +#ifndef inhibit_libc + +#include +#include + +#include "generic-morestack.h" + +/* We declare the pthread functions we need as weak, so that + libgcc_s.so does not need to be linked against -lpthread. */ + +extern int pthread_once (pthread_once_t *, void (*) (void)) + __attribute__ ((weak)); + +extern int pthread_key_create (pthread_key_t *, void (*) (void *)) + __attribute__ ((weak)); + +extern int pthread_setspecific (pthread_key_t, const void *) + __attribute__ ((weak)); + +/* The key for the list of stack segments to free when the thread + exits. This is created by pthread_key_create. */ + +static pthread_key_t segment_list_key; + +/* Used to only run create_key once. */ + +static pthread_once_t create_key_once = PTHREAD_ONCE_INIT; + +/* Release all the segments for a thread. This is the destructor + function used by pthread_key_create, and is called when a thread + exits. */ + +static void +free_segments (void* arg) +{ + __morestack_release_segments ((struct stack_segment **) arg, 1); +} + +/* Set up the key for the list of segments. This is called via + pthread_once. */ + +static void +create_key (void) +{ + int err; + + err = pthread_key_create (&segment_list_key, free_segments); + if (err != 0) + { + static const char msg[] = "pthread_key_create failed: errno "; + __morestack_fail (msg, sizeof msg - 1, err); + } +} + +/* Pass information from the pthread_create wrapper to + stack_split_initialize_thread. */ + +struct pthread_create_args +{ + void *(*start_routine) (void *); + void *arg; +}; + +/* Initialize a thread. This is called via pthread_create. It calls + a target dependent function to set up any required stack guard. */ + +static void* stack_split_initialize_thread (void *) + __attribute__ ((no_split_stack)); + +static void * +stack_split_initialize_thread (void *varg) +{ + struct pthread_create_args *args = (struct pthread_create_args *) varg; + int err; + void *(*start_routine) (void *); + void *arg; + + __stack_split_initialize (); + + err = pthread_setspecific (segment_list_key, (void *) &__morestack_segments); + if (err != 0) + { + static const char msg[] = "pthread_setspecific failed: errno "; + __morestack_fail (msg, sizeof msg - 1, err); + } + + start_routine = args->start_routine; + arg = args->arg; + free (args); + return (*start_routine) (arg); +} + +/* This function wraps calls to pthread_create to make sure that the + stack guard is initialized for new threads. FIXME: This hack will + not be necessary if glibc supports -fsplit-stack directly. */ + +int __wrap_pthread_create (pthread_t *, const pthread_attr_t *, + void *(*start_routine) (void *), void *) + __attribute__ ((visibility ("hidden"))); + +extern int __real_pthread_create (pthread_t *, const pthread_attr_t *, + void *(*start_routine) (void *), void *) + __attribute__ ((weak)); + +int +__wrap_pthread_create (pthread_t *tid, const pthread_attr_t *attr, + void *(*start_routine) (void *), void *arg) +{ + int err; + struct pthread_create_args* args; + + err = pthread_once (&create_key_once, create_key); + if (err != 0) + { + static const char msg[] = "pthread_once failed: errno "; + __morestack_fail (msg, sizeof msg - 1, err); + } + + args = malloc (sizeof (struct pthread_create_args)); + if (args == NULL) + return EAGAIN; + args->start_routine = start_routine; + args->arg = arg; + return __real_pthread_create (tid, attr, stack_split_initialize_thread, args); +} + +#endif /* !defined (inhibit_libc) */ diff --git a/contrib/toolchain/gcc/5x/libgcc/generic-morestack.c b/contrib/toolchain/gcc/5x/libgcc/generic-morestack.c new file mode 100644 index 0000000000..76f94d2dc0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/generic-morestack.c @@ -0,0 +1,1172 @@ +/* Library support for -fsplit-stack. */ +/* Copyright (C) 2009-2015 Free Software Foundation, Inc. + Contributed by Ian Lance Taylor . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +/* If inhibit_libc is defined, we can not compile this file. The + effect is that people will not be able to use -fsplit-stack. That + is much better than failing the build particularly since people + will want to define inhibit_libc while building a compiler which + can build glibc. */ + +#ifndef inhibit_libc + +#include +#include +#include +#include +#include +#include +#include +#include + +#include "generic-morestack.h" + +typedef unsigned uintptr_type __attribute__ ((mode (pointer))); + +/* This file contains subroutines that are used by code compiled with + -fsplit-stack. */ + +/* Declare functions to avoid warnings--there is no header file for + these internal functions. We give most of these functions the + flatten attribute in order to minimize their stack usage--here we + must minimize stack usage even at the cost of code size, and in + general inlining everything will do that. */ + +extern void +__generic_morestack_set_initial_sp (void *sp, size_t len) + __attribute__ ((no_split_stack, flatten, visibility ("hidden"))); + +extern void * +__generic_morestack (size_t *frame_size, void *old_stack, size_t param_size) + __attribute__ ((no_split_stack, flatten, visibility ("hidden"))); + +extern void * +__generic_releasestack (size_t *pavailable) + __attribute__ ((no_split_stack, flatten, visibility ("hidden"))); + +extern void +__morestack_block_signals (void) + __attribute__ ((no_split_stack, flatten, visibility ("hidden"))); + +extern void +__morestack_unblock_signals (void) + __attribute__ ((no_split_stack, flatten, visibility ("hidden"))); + +extern size_t +__generic_findstack (void *stack) + __attribute__ ((no_split_stack, flatten, visibility ("hidden"))); + +extern void +__morestack_load_mmap (void) + __attribute__ ((no_split_stack, visibility ("hidden"))); + +extern void * +__morestack_allocate_stack_space (size_t size) + __attribute__ ((visibility ("hidden"))); + +/* These are functions which -fsplit-stack code can call. These are + not called by the compiler, and are not hidden. FIXME: These + should be in some header file somewhere, somehow. */ + +extern void * +__splitstack_find (void *, void *, size_t *, void **, void **, void **) + __attribute__ ((visibility ("default"))); + +extern void +__splitstack_block_signals (int *, int *) + __attribute__ ((visibility ("default"))); + +extern void +__splitstack_getcontext (void *context[10]) + __attribute__ ((no_split_stack, visibility ("default"))); + +extern void +__splitstack_setcontext (void *context[10]) + __attribute__ ((no_split_stack, visibility ("default"))); + +extern void * +__splitstack_makecontext (size_t, void *context[10], size_t *) + __attribute__ ((visibility ("default"))); + +extern void * +__splitstack_resetcontext (void *context[10], size_t *) + __attribute__ ((visibility ("default"))); + +extern void +__splitstack_releasecontext (void *context[10]) + __attribute__ ((visibility ("default"))); + +extern void +__splitstack_block_signals_context (void *context[10], int *, int *) + __attribute__ ((visibility ("default"))); + +extern void * +__splitstack_find_context (void *context[10], size_t *, void **, void **, + void **) + __attribute__ ((visibility ("default"))); + +/* These functions must be defined by the processor specific code. */ + +extern void *__morestack_get_guard (void) + __attribute__ ((no_split_stack, visibility ("hidden"))); + +extern void __morestack_set_guard (void *) + __attribute__ ((no_split_stack, visibility ("hidden"))); + +extern void *__morestack_make_guard (void *, size_t) + __attribute__ ((no_split_stack, visibility ("hidden"))); + +/* When we allocate a stack segment we put this header at the + start. */ + +struct stack_segment +{ + /* The previous stack segment--when a function running on this stack + segment returns, it will run on the previous one. */ + struct stack_segment *prev; + /* The next stack segment, if it has been allocated--when a function + is running on this stack segment, the next one is not being + used. */ + struct stack_segment *next; + /* The total size of this stack segment. */ + size_t size; + /* The stack address when this stack was created. This is used when + popping the stack. */ + void *old_stack; + /* A list of memory blocks allocated by dynamic stack + allocation. */ + struct dynamic_allocation_blocks *dynamic_allocation; + /* A list of dynamic memory blocks no longer needed. */ + struct dynamic_allocation_blocks *free_dynamic_allocation; + /* An extra pointer in case we need some more information some + day. */ + void *extra; +}; + +/* This structure holds the (approximate) initial stack pointer and + size for the system supplied stack for a thread. This is set when + the thread is created. We also store a sigset_t here to hold the + signal mask while splitting the stack, since we don't want to store + that on the stack. */ + +struct initial_sp +{ + /* The initial stack pointer. */ + void *sp; + /* The stack length. */ + size_t len; + /* A signal mask, put here so that the thread can use it without + needing stack space. */ + sigset_t mask; + /* Non-zero if we should not block signals. This is a reversed flag + so that the default zero value is the safe value. The type is + uintptr_type because it replaced one of the void * pointers in + extra. */ + uintptr_type dont_block_signals; + /* Some extra space for later extensibility. */ + void *extra[4]; +}; + +/* A list of memory blocks allocated by dynamic stack allocation. + This is used for code that calls alloca or uses variably sized + arrays. */ + +struct dynamic_allocation_blocks +{ + /* The next block in the list. */ + struct dynamic_allocation_blocks *next; + /* The size of the allocated memory. */ + size_t size; + /* The allocated memory. */ + void *block; +}; + +/* These thread local global variables must be shared by all split + stack code across shared library boundaries. Therefore, they have + default visibility. They have extensibility fields if needed for + new versions. If more radical changes are needed, new code can be + written using new variable names, while still using the existing + variables in a backward compatible manner. Symbol versioning is + also used, although, since these variables are only referenced by + code in this file and generic-morestack-thread.c, it is likely that + simply using new names will suffice. */ + +/* The first stack segment allocated for this thread. */ + +__thread struct stack_segment *__morestack_segments + __attribute__ ((visibility ("default"))); + +/* The stack segment that we think we are currently using. This will + be correct in normal usage, but will be incorrect if an exception + unwinds into a different stack segment or if longjmp jumps to a + different stack segment. */ + +__thread struct stack_segment *__morestack_current_segment + __attribute__ ((visibility ("default"))); + +/* The initial stack pointer and size for this thread. */ + +__thread struct initial_sp __morestack_initial_sp + __attribute__ ((visibility ("default"))); + +/* A static signal mask, to avoid taking up stack space. */ + +static sigset_t __morestack_fullmask; + +/* Convert an integer to a decimal string without using much stack + space. Return a pointer to the part of the buffer to use. We this + instead of sprintf because sprintf will require too much stack + space. */ + +static char * +print_int (int val, char *buf, int buflen, size_t *print_len) +{ + int is_negative; + int i; + unsigned int uval; + + uval = (unsigned int) val; + if (val >= 0) + is_negative = 0; + else + { + is_negative = 1; + uval = - uval; + } + + i = buflen; + do + { + --i; + buf[i] = '0' + (uval % 10); + uval /= 10; + } + while (uval != 0 && i > 0); + + if (is_negative) + { + if (i > 0) + --i; + buf[i] = '-'; + } + + *print_len = buflen - i; + return buf + i; +} + +/* Print the string MSG/LEN, the errno number ERR, and a newline on + stderr. Then crash. */ + +void +__morestack_fail (const char *, size_t, int) __attribute__ ((noreturn)); + +void +__morestack_fail (const char *msg, size_t len, int err) +{ + char buf[24]; + static const char nl[] = "\n"; + struct iovec iov[3]; + union { char *p; const char *cp; } const_cast; + + const_cast.cp = msg; + iov[0].iov_base = const_cast.p; + iov[0].iov_len = len; + /* We can't call strerror, because it may try to translate the error + message, and that would use too much stack space. */ + iov[1].iov_base = print_int (err, buf, sizeof buf, &iov[1].iov_len); + const_cast.cp = &nl[0]; + iov[2].iov_base = const_cast.p; + iov[2].iov_len = sizeof nl - 1; + /* FIXME: On systems without writev we need to issue three write + calls, or punt on printing errno. For now this is irrelevant + since stack splitting only works on GNU/Linux anyhow. */ + writev (2, iov, 3); + abort (); +} + +/* Allocate a new stack segment. FRAME_SIZE is the required frame + size. */ + +static struct stack_segment * +allocate_segment (size_t frame_size) +{ + static unsigned int static_pagesize; + static int use_guard_page; + unsigned int pagesize; + unsigned int overhead; + unsigned int allocate; + void *space; + struct stack_segment *pss; + + pagesize = static_pagesize; + if (pagesize == 0) + { + unsigned int p; + + pagesize = getpagesize (); + +#ifdef __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 + p = __sync_val_compare_and_swap (&static_pagesize, 0, pagesize); +#else + /* Just hope this assignment is atomic. */ + static_pagesize = pagesize; + p = 0; +#endif + + use_guard_page = getenv ("SPLIT_STACK_GUARD") != 0; + + /* FIXME: I'm not sure this assert should be in the released + code. */ + assert (p == 0 || p == pagesize); + } + + overhead = sizeof (struct stack_segment); + + allocate = pagesize; + if (allocate < MINSIGSTKSZ) + allocate = ((MINSIGSTKSZ + overhead + pagesize - 1) + & ~ (pagesize - 1)); + if (allocate < frame_size) + allocate = ((frame_size + overhead + pagesize - 1) + & ~ (pagesize - 1)); + + if (use_guard_page) + allocate += pagesize; + + /* FIXME: If this binary requires an executable stack, then we need + to set PROT_EXEC. Unfortunately figuring that out is complicated + and target dependent. We would need to use dl_iterate_phdr to + see if there is any object which does not have a PT_GNU_STACK + phdr, though only for architectures which use that mechanism. */ + space = mmap (NULL, allocate, PROT_READ | PROT_WRITE, + MAP_ANONYMOUS | MAP_PRIVATE, -1, 0); + if (space == MAP_FAILED) + { + static const char msg[] = + "unable to allocate additional stack space: errno "; + __morestack_fail (msg, sizeof msg - 1, errno); + } + + if (use_guard_page) + { + void *guard; + +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + guard = space; + space = (char *) space + pagesize; +#else + guard = space + allocate - pagesize; +#endif + + mprotect (guard, pagesize, PROT_NONE); + allocate -= pagesize; + } + + pss = (struct stack_segment *) space; + + pss->prev = NULL; + pss->next = NULL; + pss->size = allocate - overhead; + pss->dynamic_allocation = NULL; + pss->free_dynamic_allocation = NULL; + pss->extra = NULL; + + return pss; +} + +/* Free a list of dynamic blocks. */ + +static void +free_dynamic_blocks (struct dynamic_allocation_blocks *p) +{ + while (p != NULL) + { + struct dynamic_allocation_blocks *next; + + next = p->next; + free (p->block); + free (p); + p = next; + } +} + +/* Merge two lists of dynamic blocks. */ + +static struct dynamic_allocation_blocks * +merge_dynamic_blocks (struct dynamic_allocation_blocks *a, + struct dynamic_allocation_blocks *b) +{ + struct dynamic_allocation_blocks **pp; + + if (a == NULL) + return b; + if (b == NULL) + return a; + for (pp = &a->next; *pp != NULL; pp = &(*pp)->next) + ; + *pp = b; + return a; +} + +/* Release stack segments. If FREE_DYNAMIC is non-zero, we also free + any dynamic blocks. Otherwise we return them. */ + +struct dynamic_allocation_blocks * +__morestack_release_segments (struct stack_segment **pp, int free_dynamic) +{ + struct dynamic_allocation_blocks *ret; + struct stack_segment *pss; + + ret = NULL; + pss = *pp; + while (pss != NULL) + { + struct stack_segment *next; + unsigned int allocate; + + next = pss->next; + + if (pss->dynamic_allocation != NULL + || pss->free_dynamic_allocation != NULL) + { + if (free_dynamic) + { + free_dynamic_blocks (pss->dynamic_allocation); + free_dynamic_blocks (pss->free_dynamic_allocation); + } + else + { + ret = merge_dynamic_blocks (pss->dynamic_allocation, ret); + ret = merge_dynamic_blocks (pss->free_dynamic_allocation, ret); + } + } + + allocate = pss->size + sizeof (struct stack_segment); + if (munmap (pss, allocate) < 0) + { + static const char msg[] = "munmap of stack space failed: errno "; + __morestack_fail (msg, sizeof msg - 1, errno); + } + + pss = next; + } + *pp = NULL; + + return ret; +} + +/* This function is called by a processor specific function to set the + initial stack pointer for a thread. The operating system will + always create a stack for a thread. Here we record a stack pointer + near the base of that stack. The size argument lets the processor + specific code estimate how much stack space is available on this + initial stack. */ + +void +__generic_morestack_set_initial_sp (void *sp, size_t len) +{ + /* The stack pointer most likely starts on a page boundary. Adjust + to the nearest 512 byte boundary. It's not essential that we be + precise here; getting it wrong will just leave some stack space + unused. */ +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + sp = (void *) ((((__UINTPTR_TYPE__) sp + 511U) / 512U) * 512U); +#else + sp = (void *) ((((__UINTPTR_TYPE__) sp - 511U) / 512U) * 512U); +#endif + + __morestack_initial_sp.sp = sp; + __morestack_initial_sp.len = len; + sigemptyset (&__morestack_initial_sp.mask); + + sigfillset (&__morestack_fullmask); +#if defined(__GLIBC__) && defined(__linux__) + /* In glibc, the first two real time signals are used by the NPTL + threading library. By taking them out of the set of signals, we + avoiding copying the signal mask in pthread_sigmask. More + importantly, pthread_sigmask uses less stack space on x86_64. */ + sigdelset (&__morestack_fullmask, __SIGRTMIN); + sigdelset (&__morestack_fullmask, __SIGRTMIN + 1); +#endif +} + +/* This function is called by a processor specific function which is + run in the prologue when more stack is needed. The processor + specific function handles the details of saving registers and + frobbing the actual stack pointer. This function is responsible + for allocating a new stack segment and for copying a parameter + block from the old stack to the new one. On function entry + *PFRAME_SIZE is the size of the required stack frame--the returned + stack must be at least this large. On function exit *PFRAME_SIZE + is the amount of space remaining on the allocated stack. OLD_STACK + points at the parameters the old stack (really the current one + while this function is running). OLD_STACK is saved so that it can + be returned by a later call to __generic_releasestack. PARAM_SIZE + is the size in bytes of parameters to copy to the new stack. This + function returns a pointer to the new stack segment, pointing to + the memory after the parameters have been copied. The returned + value minus the returned *PFRAME_SIZE (or plus if the stack grows + upward) is the first address on the stack which should not be used. + + This function is running on the old stack and has only a limited + amount of stack space available. */ + +void * +__generic_morestack (size_t *pframe_size, void *old_stack, size_t param_size) +{ + size_t frame_size = *pframe_size; + struct stack_segment *current; + struct stack_segment **pp; + struct dynamic_allocation_blocks *dynamic; + char *from; + char *to; + void *ret; + size_t i; + size_t aligned; + + current = __morestack_current_segment; + + pp = current != NULL ? ¤t->next : &__morestack_segments; + if (*pp != NULL && (*pp)->size < frame_size) + dynamic = __morestack_release_segments (pp, 0); + else + dynamic = NULL; + current = *pp; + + if (current == NULL) + { + current = allocate_segment (frame_size + param_size); + current->prev = __morestack_current_segment; + *pp = current; + } + + current->old_stack = old_stack; + + __morestack_current_segment = current; + + if (dynamic != NULL) + { + /* Move the free blocks onto our list. We don't want to call + free here, as we are short on stack space. */ + current->free_dynamic_allocation = + merge_dynamic_blocks (dynamic, current->free_dynamic_allocation); + } + + *pframe_size = current->size - param_size; + + /* Align the returned stack to a 32-byte boundary. */ + aligned = (param_size + 31) & ~ (size_t) 31; + +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + { + char *bottom = (char *) (current + 1) + current->size; + to = bottom - aligned; + ret = bottom - aligned; + } +#else + to = current + 1; + to += aligned - param_size; + ret = (char *) (current + 1) + aligned; +#endif + + /* We don't call memcpy to avoid worrying about the dynamic linker + trying to resolve it. */ + from = (char *) old_stack; + for (i = 0; i < param_size; i++) + *to++ = *from++; + + return ret; +} + +/* This function is called by a processor specific function when it is + ready to release a stack segment. We don't actually release the + stack segment, we just move back to the previous one. The current + stack segment will still be available if we need it in + __generic_morestack. This returns a pointer to the new stack + segment to use, which is the one saved by a previous call to + __generic_morestack. The processor specific function is then + responsible for actually updating the stack pointer. This sets + *PAVAILABLE to the amount of stack space now available. */ + +void * +__generic_releasestack (size_t *pavailable) +{ + struct stack_segment *current; + void *old_stack; + + current = __morestack_current_segment; + old_stack = current->old_stack; + current = current->prev; + __morestack_current_segment = current; + + if (current != NULL) + { +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + *pavailable = (char *) old_stack - (char *) (current + 1); +#else + *pavailable = (char *) (current + 1) + current->size - (char *) old_stack; +#endif + } + else + { + size_t used; + + /* We have popped back to the original stack. */ +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + if ((char *) old_stack >= (char *) __morestack_initial_sp.sp) + used = 0; + else + used = (char *) __morestack_initial_sp.sp - (char *) old_stack; +#else + if ((char *) old_stack <= (char *) __morestack_initial_sp.sp) + used = 0; + else + used = (char *) old_stack - (char *) __morestack_initial_sp.sp; +#endif + + if (used > __morestack_initial_sp.len) + *pavailable = 0; + else + *pavailable = __morestack_initial_sp.len - used; + } + + return old_stack; +} + +/* Block signals while splitting the stack. This avoids trouble if we + try to invoke a signal handler which itself wants to split the + stack. */ + +extern int pthread_sigmask (int, const sigset_t *, sigset_t *) + __attribute__ ((weak)); + +void +__morestack_block_signals (void) +{ + if (__morestack_initial_sp.dont_block_signals) + ; + else if (pthread_sigmask) + pthread_sigmask (SIG_BLOCK, &__morestack_fullmask, + &__morestack_initial_sp.mask); + else + sigprocmask (SIG_BLOCK, &__morestack_fullmask, + &__morestack_initial_sp.mask); +} + +/* Unblock signals while splitting the stack. */ + +void +__morestack_unblock_signals (void) +{ + if (__morestack_initial_sp.dont_block_signals) + ; + else if (pthread_sigmask) + pthread_sigmask (SIG_SETMASK, &__morestack_initial_sp.mask, NULL); + else + sigprocmask (SIG_SETMASK, &__morestack_initial_sp.mask, NULL); +} + +/* This function is called to allocate dynamic stack space, for alloca + or a variably sized array. This is a regular function with + sufficient stack space, so we just use malloc to allocate the + space. We attach the allocated blocks to the current stack + segment, so that they will eventually be reused or freed. */ + +void * +__morestack_allocate_stack_space (size_t size) +{ + struct stack_segment *seg, *current; + struct dynamic_allocation_blocks *p; + + /* We have to block signals to avoid getting confused if we get + interrupted by a signal whose handler itself uses alloca or a + variably sized array. */ + __morestack_block_signals (); + + /* Since we don't want to call free while we are low on stack space, + we may have a list of already allocated blocks waiting to be + freed. Release them all, unless we find one that is large + enough. We don't look at every block to see if one is large + enough, just the first one, because we aren't trying to build a + memory allocator here, we're just trying to speed up common + cases. */ + + current = __morestack_current_segment; + p = NULL; + for (seg = __morestack_segments; seg != NULL; seg = seg->next) + { + p = seg->free_dynamic_allocation; + if (p != NULL) + { + if (p->size >= size) + { + seg->free_dynamic_allocation = p->next; + break; + } + + free_dynamic_blocks (p); + seg->free_dynamic_allocation = NULL; + p = NULL; + } + } + + if (p == NULL) + { + /* We need to allocate additional memory. */ + p = malloc (sizeof (*p)); + if (p == NULL) + abort (); + p->size = size; + p->block = malloc (size); + if (p->block == NULL) + abort (); + } + + /* If we are still on the initial stack, then we have a space leak. + FIXME. */ + if (current != NULL) + { + p->next = current->dynamic_allocation; + current->dynamic_allocation = p; + } + + __morestack_unblock_signals (); + + return p->block; +} + +/* Find the stack segment for STACK and return the amount of space + available. This is used when unwinding the stack because of an + exception, in order to reset the stack guard correctly. */ + +size_t +__generic_findstack (void *stack) +{ + struct stack_segment *pss; + size_t used; + + for (pss = __morestack_current_segment; pss != NULL; pss = pss->prev) + { + if ((char *) pss < (char *) stack + && (char *) pss + pss->size > (char *) stack) + { + __morestack_current_segment = pss; +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + return (char *) stack - (char *) (pss + 1); +#else + return (char *) (pss + 1) + pss->size - (char *) stack; +#endif + } + } + + /* We have popped back to the original stack. */ + + if (__morestack_initial_sp.sp == NULL) + return 0; + +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + if ((char *) stack >= (char *) __morestack_initial_sp.sp) + used = 0; + else + used = (char *) __morestack_initial_sp.sp - (char *) stack; +#else + if ((char *) stack <= (char *) __morestack_initial_sp.sp) + used = 0; + else + used = (char *) stack - (char *) __morestack_initial_sp.sp; +#endif + + if (used > __morestack_initial_sp.len) + return 0; + else + return __morestack_initial_sp.len - used; +} + +/* This function is called at program startup time to make sure that + mmap, munmap, and getpagesize are resolved if linking dynamically. + We want to resolve them while we have enough stack for them, rather + than calling into the dynamic linker while low on stack space. */ + +void +__morestack_load_mmap (void) +{ + /* Call with bogus values to run faster. We don't care if the call + fails. Pass __MORESTACK_CURRENT_SEGMENT to make sure that any + TLS accessor function is resolved. */ + mmap (__morestack_current_segment, 0, PROT_READ, MAP_ANONYMOUS, -1, 0); + mprotect (NULL, 0, 0); + munmap (0, getpagesize ()); +} + +/* This function may be used to iterate over the stack segments. + This can be called like this. + void *next_segment = NULL; + void *next_sp = NULL; + void *initial_sp = NULL; + void *stack; + size_t stack_size; + while ((stack = __splitstack_find (next_segment, next_sp, &stack_size, + &next_segment, &next_sp, + &initial_sp)) != NULL) + { + // Stack segment starts at stack and is stack_size bytes long. + } + + There is no way to iterate over the stack segments of a different + thread. However, what is permitted is for one thread to call this + with the first two values NULL, to pass next_segment, next_sp, and + initial_sp to a different thread, and then to suspend one way or + another. A different thread may run the subsequent + __morestack_find iterations. Of course, this will only work if the + first thread is suspended during the __morestack_find iterations. + If not, the second thread will be looking at the stack while it is + changing, and anything could happen. + + FIXME: This should be declared in some header file, but where? */ + +void * +__splitstack_find (void *segment_arg, void *sp, size_t *len, + void **next_segment, void **next_sp, + void **initial_sp) +{ + struct stack_segment *segment; + void *ret; + char *nsp; + + if (segment_arg == (void *) (uintptr_type) 1) + { + char *isp = (char *) *initial_sp; + + if (isp == NULL) + return NULL; + + *next_segment = (void *) (uintptr_type) 2; + *next_sp = NULL; +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + if ((char *) sp >= isp) + return NULL; + *len = (char *) isp - (char *) sp; + return sp; +#else + if ((char *) sp <= (char *) isp) + return NULL; + *len = (char *) sp - (char *) isp; + return (void *) isp; +#endif + } + else if (segment_arg == (void *) (uintptr_type) 2) + return NULL; + else if (segment_arg != NULL) + segment = (struct stack_segment *) segment_arg; + else + { + *initial_sp = __morestack_initial_sp.sp; + segment = __morestack_current_segment; + sp = (void *) &segment; + while (1) + { + if (segment == NULL) + return __splitstack_find ((void *) (uintptr_type) 1, sp, len, + next_segment, next_sp, initial_sp); + if ((char *) sp >= (char *) (segment + 1) + && (char *) sp <= (char *) (segment + 1) + segment->size) + break; + segment = segment->prev; + } + } + + if (segment->prev == NULL) + *next_segment = (void *) (uintptr_type) 1; + else + *next_segment = segment->prev; + + /* The old_stack value is the address of the function parameters of + the function which called __morestack. So if f1 called f2 which + called __morestack, the stack looks like this: + + parameters <- old_stack + return in f1 + return in f2 + registers pushed by __morestack + + The registers pushed by __morestack may not be visible on any + other stack, if we are being called by a signal handler + immediately after the call to __morestack_unblock_signals. We + want to adjust our return value to include those registers. This + is target dependent. */ + + nsp = (char *) segment->old_stack; + + if (nsp == NULL) + { + /* We've reached the top of the stack. */ + *next_segment = (void *) (uintptr_type) 2; + } + else + { +#if defined (__x86_64__) + nsp -= 12 * sizeof (void *); +#elif defined (__i386__) + nsp -= 6 * sizeof (void *); +#else +#error "unrecognized target" +#endif + + *next_sp = (void *) nsp; + } + +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + *len = (char *) (segment + 1) + segment->size - (char *) sp; + ret = (void *) sp; +#else + *len = (char *) sp - (char *) (segment + 1); + ret = (void *) (segment + 1); +#endif + + return ret; +} + +/* Tell the split stack code whether it has to block signals while + manipulating the stack. This is for programs in which some threads + block all signals. If a thread already blocks signals, there is no + need for the split stack code to block them as well. If NEW is not + NULL, then if *NEW is non-zero signals will be blocked while + splitting the stack, otherwise they will not. If OLD is not NULL, + *OLD will be set to the old value. */ + +void +__splitstack_block_signals (int *new, int *old) +{ + if (old != NULL) + *old = __morestack_initial_sp.dont_block_signals ? 0 : 1; + if (new != NULL) + __morestack_initial_sp.dont_block_signals = *new ? 0 : 1; +} + +/* The offsets into the arrays used by __splitstack_getcontext and + __splitstack_setcontext. */ + +enum __splitstack_context_offsets +{ + MORESTACK_SEGMENTS = 0, + CURRENT_SEGMENT = 1, + CURRENT_STACK = 2, + STACK_GUARD = 3, + INITIAL_SP = 4, + INITIAL_SP_LEN = 5, + BLOCK_SIGNALS = 6, + + NUMBER_OFFSETS = 10 +}; + +/* Get the current split stack context. This may be used for + coroutine switching, similar to getcontext. The argument should + have at least 10 void *pointers for extensibility, although we + don't currently use all of them. This would normally be called + immediately before a call to getcontext or swapcontext or + setjmp. */ + +void +__splitstack_getcontext (void *context[NUMBER_OFFSETS]) +{ + memset (context, 0, NUMBER_OFFSETS * sizeof (void *)); + context[MORESTACK_SEGMENTS] = (void *) __morestack_segments; + context[CURRENT_SEGMENT] = (void *) __morestack_current_segment; + context[CURRENT_STACK] = (void *) &context; + context[STACK_GUARD] = __morestack_get_guard (); + context[INITIAL_SP] = (void *) __morestack_initial_sp.sp; + context[INITIAL_SP_LEN] = (void *) (uintptr_type) __morestack_initial_sp.len; + context[BLOCK_SIGNALS] = (void *) __morestack_initial_sp.dont_block_signals; +} + +/* Set the current split stack context. The argument should be a + context previously passed to __splitstack_getcontext. This would + normally be called immediately after a call to getcontext or + swapcontext or setjmp if something jumped to it. */ + +void +__splitstack_setcontext (void *context[NUMBER_OFFSETS]) +{ + __morestack_segments = (struct stack_segment *) context[MORESTACK_SEGMENTS]; + __morestack_current_segment = + (struct stack_segment *) context[CURRENT_SEGMENT]; + __morestack_set_guard (context[STACK_GUARD]); + __morestack_initial_sp.sp = context[INITIAL_SP]; + __morestack_initial_sp.len = (size_t) context[INITIAL_SP_LEN]; + __morestack_initial_sp.dont_block_signals = + (uintptr_type) context[BLOCK_SIGNALS]; +} + +/* Create a new split stack context. This will allocate a new stack + segment which may be used by a coroutine. STACK_SIZE is the + minimum size of the new stack. The caller is responsible for + actually setting the stack pointer. This would normally be called + before a call to makecontext, and the returned stack pointer and + size would be used to set the uc_stack field. A function called + via makecontext on a stack created by __splitstack_makecontext may + not return. Note that the returned pointer points to the lowest + address in the stack space, and thus may not be the value to which + to set the stack pointer. */ + +void * +__splitstack_makecontext (size_t stack_size, void *context[NUMBER_OFFSETS], + size_t *size) +{ + struct stack_segment *segment; + void *initial_sp; + + memset (context, 0, NUMBER_OFFSETS * sizeof (void *)); + segment = allocate_segment (stack_size); + context[MORESTACK_SEGMENTS] = segment; + context[CURRENT_SEGMENT] = segment; +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + initial_sp = (void *) ((char *) (segment + 1) + segment->size); +#else + initial_sp = (void *) (segment + 1); +#endif + context[STACK_GUARD] = __morestack_make_guard (initial_sp, segment->size); + context[INITIAL_SP] = NULL; + context[INITIAL_SP_LEN] = 0; + *size = segment->size; + return (void *) (segment + 1); +} + +/* Given an existing split stack context, reset it back to the start + of the stack. Return the stack pointer and size, appropriate for + use with makecontext. This may be used if a coroutine exits, in + order to reuse the stack segments for a new coroutine. */ + +void * +__splitstack_resetcontext (void *context[10], size_t *size) +{ + struct stack_segment *segment; + void *initial_sp; + size_t initial_size; + void *ret; + + /* Reset the context assuming that MORESTACK_SEGMENTS, INITIAL_SP + and INITIAL_SP_LEN are correct. */ + + segment = context[MORESTACK_SEGMENTS]; + context[CURRENT_SEGMENT] = segment; + context[CURRENT_STACK] = NULL; + if (segment == NULL) + { + initial_sp = context[INITIAL_SP]; + initial_size = (uintptr_type) context[INITIAL_SP_LEN]; + ret = initial_sp; +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + ret = (void *) ((char *) ret - initial_size); +#endif + } + else + { +#ifdef __LIBGCC_STACK_GROWS_DOWNWARD__ + initial_sp = (void *) ((char *) (segment + 1) + segment->size); +#else + initial_sp = (void *) (segment + 1); +#endif + initial_size = segment->size; + ret = (void *) (segment + 1); + } + context[STACK_GUARD] = __morestack_make_guard (initial_sp, initial_size); + context[BLOCK_SIGNALS] = NULL; + *size = initial_size; + return ret; +} + +/* Release all the memory associated with a splitstack context. This + may be used if a coroutine exits and the associated stack should be + freed. */ + +void +__splitstack_releasecontext (void *context[10]) +{ + __morestack_release_segments (((struct stack_segment **) + &context[MORESTACK_SEGMENTS]), + 1); +} + +/* Like __splitstack_block_signals, but operating on CONTEXT, rather + than on the current state. */ + +void +__splitstack_block_signals_context (void *context[NUMBER_OFFSETS], int *new, + int *old) +{ + if (old != NULL) + *old = ((uintptr_type) context[BLOCK_SIGNALS]) != 0 ? 0 : 1; + if (new != NULL) + context[BLOCK_SIGNALS] = (void *) (uintptr_type) (*new ? 0 : 1); +} + +/* Find the stack segments associated with a split stack context. + This will return the address of the first stack segment and set + *STACK_SIZE to its size. It will set next_segment, next_sp, and + initial_sp which may be passed to __splitstack_find to find the + remaining segments. */ + +void * +__splitstack_find_context (void *context[NUMBER_OFFSETS], size_t *stack_size, + void **next_segment, void **next_sp, + void **initial_sp) +{ + void *sp; + struct stack_segment *segment; + + *initial_sp = context[INITIAL_SP]; + + sp = context[CURRENT_STACK]; + if (sp == NULL) + { + /* Most likely this context was created but was never used. The + value 2 is a code used by __splitstack_find to mean that we + have reached the end of the list of stacks. */ + *next_segment = (void *) (uintptr_type) 2; + *next_sp = NULL; + *initial_sp = NULL; + return NULL; + } + + segment = context[CURRENT_SEGMENT]; + if (segment == NULL) + { + /* Most likely this context was saved by a thread which was not + created using __splistack_makecontext and which has never + split the stack. The value 1 is a code used by + __splitstack_find to look at the initial stack. */ + segment = (struct stack_segment *) (uintptr_type) 1; + } + + return __splitstack_find (segment, sp, stack_size, next_segment, next_sp, + initial_sp); +} + +#endif /* !defined (inhibit_libc) */ diff --git a/contrib/toolchain/gcc/5x/libgcc/generic-morestack.h b/contrib/toolchain/gcc/5x/libgcc/generic-morestack.h new file mode 100644 index 0000000000..fbcb719052 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/generic-morestack.h @@ -0,0 +1,53 @@ +/* Library support for -fsplit-stack. */ +/* Copyright (C) 2009-2015 Free Software Foundation, Inc. + Contributed by Ian Lance Taylor . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This is a libgcc internal header file for functions shared between + generic-morestack.c and generic-morestack-thread.c. The latter + file is only used when linking with the pthread library. */ + +/* The stack segment structure, defined in generic-morestack.c. */ + +struct stack_segment; + +/* The list of stack segments for this thread. */ + +extern __thread struct stack_segment *__morestack_segments; + +/* Print the string MSG/LEN, the errno number ERR, and a newline on + stderr, without using printf. Then crash. */ + +extern void __morestack_fail (const char *msg, size_t len, int err) + __attribute__ ((noreturn, visibility ("hidden"))); + +/* Release stack segments. */ + +extern struct dynamic_allocation_blocks * + __morestack_release_segments (struct stack_segment **, int) + __attribute__ ((visibility ("hidden"))); + +/* Store the stack information in a processor dependent manner. */ + +extern void __stack_split_initialize (void) + __attribute__ ((visibility ("hidden"))); diff --git a/contrib/toolchain/gcc/5x/libgcc/gstdint.h b/contrib/toolchain/gcc/5x/libgcc/gstdint.h new file mode 100644 index 0000000000..4d61c31844 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/gstdint.h @@ -0,0 +1,6 @@ +/* This header is only for use of libdecnumber built as part of + libgcc. The targets supported for decimal floating point have + ; libdecnumber uses GCC_HEADER_STDINT only for the sake + of the host. */ + +#include diff --git a/contrib/toolchain/gcc/5x/libgcc/gthr-posix.h b/contrib/toolchain/gcc/5x/libgcc/gthr-posix.h new file mode 100644 index 0000000000..fb5981667c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/gthr-posix.h @@ -0,0 +1,889 @@ +/* Threads compatibility routines for libgcc2 and libobjc. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_POSIX_H +#define GCC_GTHR_POSIX_H + +/* POSIX threads specific definitions. + Easy, since the interface is just one-to-one mapping. */ + +#define __GTHREADS 1 +#define __GTHREADS_CXX0X 1 + +#include + +#if ((defined(_LIBOBJC) || defined(_LIBOBJC_WEAK)) \ + || !defined(_GTHREAD_USE_MUTEX_TIMEDLOCK)) +# include +# if defined(_POSIX_TIMEOUTS) && _POSIX_TIMEOUTS >= 0 +# define _GTHREAD_USE_MUTEX_TIMEDLOCK 1 +# else +# define _GTHREAD_USE_MUTEX_TIMEDLOCK 0 +# endif +#endif + +typedef pthread_t __gthread_t; +typedef pthread_key_t __gthread_key_t; +typedef pthread_once_t __gthread_once_t; +typedef pthread_mutex_t __gthread_mutex_t; +typedef pthread_mutex_t __gthread_recursive_mutex_t; +typedef pthread_cond_t __gthread_cond_t; +typedef struct timespec __gthread_time_t; + +/* POSIX like conditional variables are supported. Please look at comments + in gthr.h for details. */ +#define __GTHREAD_HAS_COND 1 + +#define __GTHREAD_MUTEX_INIT PTHREAD_MUTEX_INITIALIZER +#define __GTHREAD_MUTEX_INIT_FUNCTION __gthread_mutex_init_function +#define __GTHREAD_ONCE_INIT PTHREAD_ONCE_INIT +#if defined(PTHREAD_RECURSIVE_MUTEX_INITIALIZER) +#define __GTHREAD_RECURSIVE_MUTEX_INIT PTHREAD_RECURSIVE_MUTEX_INITIALIZER +#elif defined(PTHREAD_RECURSIVE_MUTEX_INITIALIZER_NP) +#define __GTHREAD_RECURSIVE_MUTEX_INIT PTHREAD_RECURSIVE_MUTEX_INITIALIZER_NP +#else +#define __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION __gthread_recursive_mutex_init_function +#endif +#define __GTHREAD_COND_INIT PTHREAD_COND_INITIALIZER +#define __GTHREAD_TIME_INIT {0,0} + +#ifdef _GTHREAD_USE_MUTEX_INIT_FUNC +# undef __GTHREAD_MUTEX_INIT +#endif +#ifdef _GTHREAD_USE_RECURSIVE_MUTEX_INIT_FUNC +# undef __GTHREAD_RECURSIVE_MUTEX_INIT +# undef __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION +# define __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION __gthread_recursive_mutex_init_function +#endif +#ifdef _GTHREAD_USE_COND_INIT_FUNC +# undef __GTHREAD_COND_INIT +# define __GTHREAD_COND_INIT_FUNCTION __gthread_cond_init_function +#endif + +#if SUPPORTS_WEAK && GTHREAD_USE_WEAK +# ifndef __gthrw_pragma +# define __gthrw_pragma(pragma) +# endif +# define __gthrw2(name,name2,type) \ + static __typeof(type) name __attribute__ ((__weakref__(#name2))); \ + __gthrw_pragma(weak type) +# define __gthrw_(name) __gthrw_ ## name +#else +# define __gthrw2(name,name2,type) +# define __gthrw_(name) name +#endif + +/* Typically, __gthrw_foo is a weak reference to symbol foo. */ +#define __gthrw(name) __gthrw2(__gthrw_ ## name,name,name) + +__gthrw(pthread_once) +__gthrw(pthread_getspecific) +__gthrw(pthread_setspecific) + +__gthrw(pthread_create) +__gthrw(pthread_join) +__gthrw(pthread_equal) +__gthrw(pthread_self) +__gthrw(pthread_detach) +#ifndef __BIONIC__ +__gthrw(pthread_cancel) +#endif +__gthrw(sched_yield) + +__gthrw(pthread_mutex_lock) +__gthrw(pthread_mutex_trylock) +#if _GTHREAD_USE_MUTEX_TIMEDLOCK +__gthrw(pthread_mutex_timedlock) +#endif +__gthrw(pthread_mutex_unlock) +__gthrw(pthread_mutex_init) +__gthrw(pthread_mutex_destroy) + +__gthrw(pthread_cond_init) +__gthrw(pthread_cond_broadcast) +__gthrw(pthread_cond_signal) +__gthrw(pthread_cond_wait) +__gthrw(pthread_cond_timedwait) +__gthrw(pthread_cond_destroy) + +__gthrw(pthread_key_create) +__gthrw(pthread_key_delete) +__gthrw(pthread_mutexattr_init) +__gthrw(pthread_mutexattr_settype) +__gthrw(pthread_mutexattr_destroy) + + +#if defined(_LIBOBJC) || defined(_LIBOBJC_WEAK) +/* Objective-C. */ +__gthrw(pthread_exit) +#ifdef _POSIX_PRIORITY_SCHEDULING +#ifdef _POSIX_THREAD_PRIORITY_SCHEDULING +__gthrw(sched_get_priority_max) +__gthrw(sched_get_priority_min) +#endif /* _POSIX_THREAD_PRIORITY_SCHEDULING */ +#endif /* _POSIX_PRIORITY_SCHEDULING */ +__gthrw(pthread_attr_destroy) +__gthrw(pthread_attr_init) +__gthrw(pthread_attr_setdetachstate) +#ifdef _POSIX_THREAD_PRIORITY_SCHEDULING +__gthrw(pthread_getschedparam) +__gthrw(pthread_setschedparam) +#endif /* _POSIX_THREAD_PRIORITY_SCHEDULING */ +#endif /* _LIBOBJC || _LIBOBJC_WEAK */ + +#if SUPPORTS_WEAK && GTHREAD_USE_WEAK + +/* On Solaris 2.6 up to 9, the libc exposes a POSIX threads interface even if + -pthreads is not specified. The functions are dummies and most return an + error value. However pthread_once returns 0 without invoking the routine + it is passed so we cannot pretend that the interface is active if -pthreads + is not specified. On Solaris 2.5.1, the interface is not exposed at all so + we need to play the usual game with weak symbols. On Solaris 10 and up, a + working interface is always exposed. On FreeBSD 6 and later, libc also + exposes a dummy POSIX threads interface, similar to what Solaris 2.6 up + to 9 does. FreeBSD >= 700014 even provides a pthread_cancel stub in libc, + which means the alternate __gthread_active_p below cannot be used there. */ + +#if defined(__FreeBSD__) || (defined(__sun) && defined(__svr4__)) + +static volatile int __gthread_active = -1; + +static void +__gthread_trigger (void) +{ + __gthread_active = 1; +} + +static inline int +__gthread_active_p (void) +{ + static pthread_mutex_t __gthread_active_mutex = PTHREAD_MUTEX_INITIALIZER; + static pthread_once_t __gthread_active_once = PTHREAD_ONCE_INIT; + + /* Avoid reading __gthread_active twice on the main code path. */ + int __gthread_active_latest_value = __gthread_active; + + /* This test is not protected to avoid taking a lock on the main code + path so every update of __gthread_active in a threaded program must + be atomic with regard to the result of the test. */ + if (__builtin_expect (__gthread_active_latest_value < 0, 0)) + { + if (__gthrw_(pthread_once)) + { + /* If this really is a threaded program, then we must ensure that + __gthread_active has been set to 1 before exiting this block. */ + __gthrw_(pthread_mutex_lock) (&__gthread_active_mutex); + __gthrw_(pthread_once) (&__gthread_active_once, __gthread_trigger); + __gthrw_(pthread_mutex_unlock) (&__gthread_active_mutex); + } + + /* Make sure we'll never enter this block again. */ + if (__gthread_active < 0) + __gthread_active = 0; + + __gthread_active_latest_value = __gthread_active; + } + + return __gthread_active_latest_value != 0; +} + +#else /* neither FreeBSD nor Solaris */ + +/* For a program to be multi-threaded the only thing that it certainly must + be using is pthread_create. However, there may be other libraries that + intercept pthread_create with their own definitions to wrap pthreads + functionality for some purpose. In those cases, pthread_create being + defined might not necessarily mean that libpthread is actually linked + in. + + For the GNU C library, we can use a known internal name. This is always + available in the ABI, but no other library would define it. That is + ideal, since any public pthread function might be intercepted just as + pthread_create might be. __pthread_key_create is an "internal" + implementation symbol, but it is part of the public exported ABI. Also, + it's among the symbols that the static libpthread.a always links in + whenever pthread_create is used, so there is no danger of a false + negative result in any statically-linked, multi-threaded program. + + For others, we choose pthread_cancel as a function that seems unlikely + to be redefined by an interceptor library. The bionic (Android) C + library does not provide pthread_cancel, so we do use pthread_create + there (and interceptor libraries lose). */ + +#ifdef __GLIBC__ +__gthrw2(__gthrw_(__pthread_key_create), + __pthread_key_create, + pthread_key_create) +# define GTHR_ACTIVE_PROXY __gthrw_(__pthread_key_create) +#elif defined (__BIONIC__) +# define GTHR_ACTIVE_PROXY __gthrw_(pthread_create) +#else +# define GTHR_ACTIVE_PROXY __gthrw_(pthread_cancel) +#endif + +static inline int +__gthread_active_p (void) +{ + static void *const __gthread_active_ptr + = __extension__ (void *) >HR_ACTIVE_PROXY; + return __gthread_active_ptr != 0; +} + +#endif /* FreeBSD or Solaris */ + +#else /* not SUPPORTS_WEAK */ + +/* Similar to Solaris, HP-UX 11 for PA-RISC provides stubs for pthread + calls in shared flavors of the HP-UX C library. Most of the stubs + have no functionality. The details are described in the "libc cumulative + patch" for each subversion of HP-UX 11. There are two special interfaces + provided for checking whether an application is linked to a shared pthread + library or not. However, these interfaces aren't available in early + libpthread libraries. We also need a test that works for archive + libraries. We can't use pthread_once as some libc versions call the + init function. We also can't use pthread_create or pthread_attr_init + as these create a thread and thereby prevent changing the default stack + size. The function pthread_default_stacksize_np is available in both + the archive and shared versions of libpthread. It can be used to + determine the default pthread stack size. There is a stub in some + shared libc versions which returns a zero size if pthreads are not + active. We provide an equivalent stub to handle cases where libc + doesn't provide one. */ + +#if defined(__hppa__) && defined(__hpux__) + +static volatile int __gthread_active = -1; + +static inline int +__gthread_active_p (void) +{ + /* Avoid reading __gthread_active twice on the main code path. */ + int __gthread_active_latest_value = __gthread_active; + size_t __s; + + if (__builtin_expect (__gthread_active_latest_value < 0, 0)) + { + pthread_default_stacksize_np (0, &__s); + __gthread_active = __s ? 1 : 0; + __gthread_active_latest_value = __gthread_active; + } + + return __gthread_active_latest_value != 0; +} + +#else /* not hppa-hpux */ + +static inline int +__gthread_active_p (void) +{ + return 1; +} + +#endif /* hppa-hpux */ + +#endif /* SUPPORTS_WEAK */ + +#ifdef _LIBOBJC + +/* This is the config.h file in libobjc/ */ +#include + +#ifdef HAVE_SCHED_H +# include +#endif + +/* Key structure for maintaining thread specific storage */ +static pthread_key_t _objc_thread_storage; +static pthread_attr_t _objc_thread_attribs; + +/* Thread local storage for a single thread */ +static void *thread_local_storage = NULL; + +/* Backend initialization functions */ + +/* Initialize the threads subsystem. */ +static inline int +__gthread_objc_init_thread_system (void) +{ + if (__gthread_active_p ()) + { + /* Initialize the thread storage key. */ + if (__gthrw_(pthread_key_create) (&_objc_thread_storage, NULL) == 0) + { + /* The normal default detach state for threads is + * PTHREAD_CREATE_JOINABLE which causes threads to not die + * when you think they should. */ + if (__gthrw_(pthread_attr_init) (&_objc_thread_attribs) == 0 + && __gthrw_(pthread_attr_setdetachstate) (&_objc_thread_attribs, + PTHREAD_CREATE_DETACHED) == 0) + return 0; + } + } + + return -1; +} + +/* Close the threads subsystem. */ +static inline int +__gthread_objc_close_thread_system (void) +{ + if (__gthread_active_p () + && __gthrw_(pthread_key_delete) (_objc_thread_storage) == 0 + && __gthrw_(pthread_attr_destroy) (&_objc_thread_attribs) == 0) + return 0; + + return -1; +} + +/* Backend thread functions */ + +/* Create a new thread of execution. */ +static inline objc_thread_t +__gthread_objc_thread_detach (void (*func)(void *), void *arg) +{ + objc_thread_t thread_id; + pthread_t new_thread_handle; + + if (!__gthread_active_p ()) + return NULL; + + if (!(__gthrw_(pthread_create) (&new_thread_handle, &_objc_thread_attribs, + (void *) func, arg))) + thread_id = (objc_thread_t) new_thread_handle; + else + thread_id = NULL; + + return thread_id; +} + +/* Set the current thread's priority. */ +static inline int +__gthread_objc_thread_set_priority (int priority) +{ + if (!__gthread_active_p ()) + return -1; + else + { +#ifdef _POSIX_PRIORITY_SCHEDULING +#ifdef _POSIX_THREAD_PRIORITY_SCHEDULING + pthread_t thread_id = __gthrw_(pthread_self) (); + int policy; + struct sched_param params; + int priority_min, priority_max; + + if (__gthrw_(pthread_getschedparam) (thread_id, &policy, ¶ms) == 0) + { + if ((priority_max = __gthrw_(sched_get_priority_max) (policy)) == -1) + return -1; + + if ((priority_min = __gthrw_(sched_get_priority_min) (policy)) == -1) + return -1; + + if (priority > priority_max) + priority = priority_max; + else if (priority < priority_min) + priority = priority_min; + params.sched_priority = priority; + + /* + * The solaris 7 and several other man pages incorrectly state that + * this should be a pointer to policy but pthread.h is universally + * at odds with this. + */ + if (__gthrw_(pthread_setschedparam) (thread_id, policy, ¶ms) == 0) + return 0; + } +#endif /* _POSIX_THREAD_PRIORITY_SCHEDULING */ +#endif /* _POSIX_PRIORITY_SCHEDULING */ + return -1; + } +} + +/* Return the current thread's priority. */ +static inline int +__gthread_objc_thread_get_priority (void) +{ +#ifdef _POSIX_PRIORITY_SCHEDULING +#ifdef _POSIX_THREAD_PRIORITY_SCHEDULING + if (__gthread_active_p ()) + { + int policy; + struct sched_param params; + + if (__gthrw_(pthread_getschedparam) (__gthrw_(pthread_self) (), &policy, ¶ms) == 0) + return params.sched_priority; + else + return -1; + } + else +#endif /* _POSIX_THREAD_PRIORITY_SCHEDULING */ +#endif /* _POSIX_PRIORITY_SCHEDULING */ + return OBJC_THREAD_INTERACTIVE_PRIORITY; +} + +/* Yield our process time to another thread. */ +static inline void +__gthread_objc_thread_yield (void) +{ + if (__gthread_active_p ()) + __gthrw_(sched_yield) (); +} + +/* Terminate the current thread. */ +static inline int +__gthread_objc_thread_exit (void) +{ + if (__gthread_active_p ()) + /* exit the thread */ + __gthrw_(pthread_exit) (&__objc_thread_exit_status); + + /* Failed if we reached here */ + return -1; +} + +/* Returns an integer value which uniquely describes a thread. */ +static inline objc_thread_t +__gthread_objc_thread_id (void) +{ + if (__gthread_active_p ()) + return (objc_thread_t) __gthrw_(pthread_self) (); + else + return (objc_thread_t) 1; +} + +/* Sets the thread's local storage pointer. */ +static inline int +__gthread_objc_thread_set_data (void *value) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_setspecific) (_objc_thread_storage, value); + else + { + thread_local_storage = value; + return 0; + } +} + +/* Returns the thread's local storage pointer. */ +static inline void * +__gthread_objc_thread_get_data (void) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_getspecific) (_objc_thread_storage); + else + return thread_local_storage; +} + +/* Backend mutex functions */ + +/* Allocate a mutex. */ +static inline int +__gthread_objc_mutex_allocate (objc_mutex_t mutex) +{ + if (__gthread_active_p ()) + { + mutex->backend = objc_malloc (sizeof (pthread_mutex_t)); + + if (__gthrw_(pthread_mutex_init) ((pthread_mutex_t *) mutex->backend, NULL)) + { + objc_free (mutex->backend); + mutex->backend = NULL; + return -1; + } + } + + return 0; +} + +/* Deallocate a mutex. */ +static inline int +__gthread_objc_mutex_deallocate (objc_mutex_t mutex) +{ + if (__gthread_active_p ()) + { + int count; + + /* + * Posix Threads specifically require that the thread be unlocked + * for __gthrw_(pthread_mutex_destroy) to work. + */ + + do + { + count = __gthrw_(pthread_mutex_unlock) ((pthread_mutex_t *) mutex->backend); + if (count < 0) + return -1; + } + while (count); + + if (__gthrw_(pthread_mutex_destroy) ((pthread_mutex_t *) mutex->backend)) + return -1; + + objc_free (mutex->backend); + mutex->backend = NULL; + } + return 0; +} + +/* Grab a lock on a mutex. */ +static inline int +__gthread_objc_mutex_lock (objc_mutex_t mutex) +{ + if (__gthread_active_p () + && __gthrw_(pthread_mutex_lock) ((pthread_mutex_t *) mutex->backend) != 0) + { + return -1; + } + + return 0; +} + +/* Try to grab a lock on a mutex. */ +static inline int +__gthread_objc_mutex_trylock (objc_mutex_t mutex) +{ + if (__gthread_active_p () + && __gthrw_(pthread_mutex_trylock) ((pthread_mutex_t *) mutex->backend) != 0) + { + return -1; + } + + return 0; +} + +/* Unlock the mutex */ +static inline int +__gthread_objc_mutex_unlock (objc_mutex_t mutex) +{ + if (__gthread_active_p () + && __gthrw_(pthread_mutex_unlock) ((pthread_mutex_t *) mutex->backend) != 0) + { + return -1; + } + + return 0; +} + +/* Backend condition mutex functions */ + +/* Allocate a condition. */ +static inline int +__gthread_objc_condition_allocate (objc_condition_t condition) +{ + if (__gthread_active_p ()) + { + condition->backend = objc_malloc (sizeof (pthread_cond_t)); + + if (__gthrw_(pthread_cond_init) ((pthread_cond_t *) condition->backend, NULL)) + { + objc_free (condition->backend); + condition->backend = NULL; + return -1; + } + } + + return 0; +} + +/* Deallocate a condition. */ +static inline int +__gthread_objc_condition_deallocate (objc_condition_t condition) +{ + if (__gthread_active_p ()) + { + if (__gthrw_(pthread_cond_destroy) ((pthread_cond_t *) condition->backend)) + return -1; + + objc_free (condition->backend); + condition->backend = NULL; + } + return 0; +} + +/* Wait on the condition */ +static inline int +__gthread_objc_condition_wait (objc_condition_t condition, objc_mutex_t mutex) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_cond_wait) ((pthread_cond_t *) condition->backend, + (pthread_mutex_t *) mutex->backend); + else + return 0; +} + +/* Wake up all threads waiting on this condition. */ +static inline int +__gthread_objc_condition_broadcast (objc_condition_t condition) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_cond_broadcast) ((pthread_cond_t *) condition->backend); + else + return 0; +} + +/* Wake up one thread waiting on this condition. */ +static inline int +__gthread_objc_condition_signal (objc_condition_t condition) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_cond_signal) ((pthread_cond_t *) condition->backend); + else + return 0; +} + +#else /* _LIBOBJC */ + +static inline int +__gthread_create (__gthread_t *__threadid, void *(*__func) (void*), + void *__args) +{ + return __gthrw_(pthread_create) (__threadid, NULL, __func, __args); +} + +static inline int +__gthread_join (__gthread_t __threadid, void **__value_ptr) +{ + return __gthrw_(pthread_join) (__threadid, __value_ptr); +} + +static inline int +__gthread_detach (__gthread_t __threadid) +{ + return __gthrw_(pthread_detach) (__threadid); +} + +static inline int +__gthread_equal (__gthread_t __t1, __gthread_t __t2) +{ + return __gthrw_(pthread_equal) (__t1, __t2); +} + +static inline __gthread_t +__gthread_self (void) +{ + return __gthrw_(pthread_self) (); +} + +static inline int +__gthread_yield (void) +{ + return __gthrw_(sched_yield) (); +} + +static inline int +__gthread_once (__gthread_once_t *__once, void (*__func) (void)) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_once) (__once, __func); + else + return -1; +} + +static inline int +__gthread_key_create (__gthread_key_t *__key, void (*__dtor) (void *)) +{ + return __gthrw_(pthread_key_create) (__key, __dtor); +} + +static inline int +__gthread_key_delete (__gthread_key_t __key) +{ + return __gthrw_(pthread_key_delete) (__key); +} + +static inline void * +__gthread_getspecific (__gthread_key_t __key) +{ + return __gthrw_(pthread_getspecific) (__key); +} + +static inline int +__gthread_setspecific (__gthread_key_t __key, const void *__ptr) +{ + return __gthrw_(pthread_setspecific) (__key, __ptr); +} + +static inline void +__gthread_mutex_init_function (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + __gthrw_(pthread_mutex_init) (__mutex, NULL); +} + +static inline int +__gthread_mutex_destroy (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_mutex_destroy) (__mutex); + else + return 0; +} + +static inline int +__gthread_mutex_lock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_mutex_lock) (__mutex); + else + return 0; +} + +static inline int +__gthread_mutex_trylock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_mutex_trylock) (__mutex); + else + return 0; +} + +#if _GTHREAD_USE_MUTEX_TIMEDLOCK +static inline int +__gthread_mutex_timedlock (__gthread_mutex_t *__mutex, + const __gthread_time_t *__abs_timeout) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_mutex_timedlock) (__mutex, __abs_timeout); + else + return 0; +} +#endif + +static inline int +__gthread_mutex_unlock (__gthread_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + return __gthrw_(pthread_mutex_unlock) (__mutex); + else + return 0; +} + +#if !defined( PTHREAD_RECURSIVE_MUTEX_INITIALIZER_NP) \ + || defined(_GTHREAD_USE_RECURSIVE_MUTEX_INIT_FUNC) +static inline int +__gthread_recursive_mutex_init_function (__gthread_recursive_mutex_t *__mutex) +{ + if (__gthread_active_p ()) + { + pthread_mutexattr_t __attr; + int __r; + + __r = __gthrw_(pthread_mutexattr_init) (&__attr); + if (!__r) + __r = __gthrw_(pthread_mutexattr_settype) (&__attr, + PTHREAD_MUTEX_RECURSIVE); + if (!__r) + __r = __gthrw_(pthread_mutex_init) (__mutex, &__attr); + if (!__r) + __r = __gthrw_(pthread_mutexattr_destroy) (&__attr); + return __r; + } + return 0; +} +#endif + +static inline int +__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_lock (__mutex); +} + +static inline int +__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_trylock (__mutex); +} + +#if _GTHREAD_USE_MUTEX_TIMEDLOCK +static inline int +__gthread_recursive_mutex_timedlock (__gthread_recursive_mutex_t *__mutex, + const __gthread_time_t *__abs_timeout) +{ + return __gthread_mutex_timedlock (__mutex, __abs_timeout); +} +#endif + +static inline int +__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_unlock (__mutex); +} + +static inline int +__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_destroy (__mutex); +} + +#ifdef _GTHREAD_USE_COND_INIT_FUNC +static inline void +__gthread_cond_init_function (__gthread_cond_t *__cond) +{ + if (__gthread_active_p ()) + __gthrw_(pthread_cond_init) (__cond, NULL); +} +#endif + +static inline int +__gthread_cond_broadcast (__gthread_cond_t *__cond) +{ + return __gthrw_(pthread_cond_broadcast) (__cond); +} + +static inline int +__gthread_cond_signal (__gthread_cond_t *__cond) +{ + return __gthrw_(pthread_cond_signal) (__cond); +} + +static inline int +__gthread_cond_wait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex) +{ + return __gthrw_(pthread_cond_wait) (__cond, __mutex); +} + +static inline int +__gthread_cond_timedwait (__gthread_cond_t *__cond, __gthread_mutex_t *__mutex, + const __gthread_time_t *__abs_timeout) +{ + return __gthrw_(pthread_cond_timedwait) (__cond, __mutex, __abs_timeout); +} + +static inline int +__gthread_cond_wait_recursive (__gthread_cond_t *__cond, + __gthread_recursive_mutex_t *__mutex) +{ + return __gthread_cond_wait (__cond, __mutex); +} + +static inline int +__gthread_cond_destroy (__gthread_cond_t* __cond) +{ + return __gthrw_(pthread_cond_destroy) (__cond); +} + +#endif /* _LIBOBJC */ + +#endif /* ! GCC_GTHR_POSIX_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/gthr-single.h b/contrib/toolchain/gcc/5x/libgcc/gthr-single.h new file mode 100644 index 0000000000..bddded4f24 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/gthr-single.h @@ -0,0 +1,298 @@ +/* Threads compatibility routines for libgcc2 and libobjc. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_SINGLE_H +#define GCC_GTHR_SINGLE_H + +/* Just provide compatibility for mutex handling. */ + +typedef int __gthread_key_t; +typedef int __gthread_once_t; +typedef int __gthread_mutex_t; +typedef int __gthread_recursive_mutex_t; + +#define __GTHREAD_ONCE_INIT 0 +#define __GTHREAD_MUTEX_INIT 0 +#define __GTHREAD_MUTEX_INIT_FUNCTION(mx) +#define __GTHREAD_RECURSIVE_MUTEX_INIT 0 + +#define UNUSED __attribute__((__unused__)) + +#ifdef _LIBOBJC + +/* Thread local storage for a single thread */ +static void *thread_local_storage = NULL; + +/* Backend initialization functions */ + +/* Initialize the threads subsystem. */ +static inline int +__gthread_objc_init_thread_system (void) +{ + /* No thread support available */ + return -1; +} + +/* Close the threads subsystem. */ +static inline int +__gthread_objc_close_thread_system (void) +{ + /* No thread support available */ + return -1; +} + +/* Backend thread functions */ + +/* Create a new thread of execution. */ +static inline objc_thread_t +__gthread_objc_thread_detach (void (* func)(void *), void * arg UNUSED) +{ + /* No thread support available */ + return NULL; +} + +/* Set the current thread's priority. */ +static inline int +__gthread_objc_thread_set_priority (int priority UNUSED) +{ + /* No thread support available */ + return -1; +} + +/* Return the current thread's priority. */ +static inline int +__gthread_objc_thread_get_priority (void) +{ + return OBJC_THREAD_INTERACTIVE_PRIORITY; +} + +/* Yield our process time to another thread. */ +static inline void +__gthread_objc_thread_yield (void) +{ + return; +} + +/* Terminate the current thread. */ +static inline int +__gthread_objc_thread_exit (void) +{ + /* No thread support available */ + /* Should we really exit the program */ + /* exit (&__objc_thread_exit_status); */ + return -1; +} + +/* Returns an integer value which uniquely describes a thread. */ +static inline objc_thread_t +__gthread_objc_thread_id (void) +{ + /* No thread support, use 1. */ + return (objc_thread_t) 1; +} + +/* Sets the thread's local storage pointer. */ +static inline int +__gthread_objc_thread_set_data (void *value) +{ + thread_local_storage = value; + return 0; +} + +/* Returns the thread's local storage pointer. */ +static inline void * +__gthread_objc_thread_get_data (void) +{ + return thread_local_storage; +} + +/* Backend mutex functions */ + +/* Allocate a mutex. */ +static inline int +__gthread_objc_mutex_allocate (objc_mutex_t mutex UNUSED) +{ + return 0; +} + +/* Deallocate a mutex. */ +static inline int +__gthread_objc_mutex_deallocate (objc_mutex_t mutex UNUSED) +{ + return 0; +} + +/* Grab a lock on a mutex. */ +static inline int +__gthread_objc_mutex_lock (objc_mutex_t mutex UNUSED) +{ + /* There can only be one thread, so we always get the lock */ + return 0; +} + +/* Try to grab a lock on a mutex. */ +static inline int +__gthread_objc_mutex_trylock (objc_mutex_t mutex UNUSED) +{ + /* There can only be one thread, so we always get the lock */ + return 0; +} + +/* Unlock the mutex */ +static inline int +__gthread_objc_mutex_unlock (objc_mutex_t mutex UNUSED) +{ + return 0; +} + +/* Backend condition mutex functions */ + +/* Allocate a condition. */ +static inline int +__gthread_objc_condition_allocate (objc_condition_t condition UNUSED) +{ + return 0; +} + +/* Deallocate a condition. */ +static inline int +__gthread_objc_condition_deallocate (objc_condition_t condition UNUSED) +{ + return 0; +} + +/* Wait on the condition */ +static inline int +__gthread_objc_condition_wait (objc_condition_t condition UNUSED, + objc_mutex_t mutex UNUSED) +{ + return 0; +} + +/* Wake up all threads waiting on this condition. */ +static inline int +__gthread_objc_condition_broadcast (objc_condition_t condition UNUSED) +{ + return 0; +} + +/* Wake up one thread waiting on this condition. */ +static inline int +__gthread_objc_condition_signal (objc_condition_t condition UNUSED) +{ + return 0; +} + +#else /* _LIBOBJC */ + +static inline int +__gthread_active_p (void) +{ + return 0; +} + +static inline int +__gthread_once (__gthread_once_t *__once UNUSED, void (*__func) (void) UNUSED) +{ + return 0; +} + +static inline int UNUSED +__gthread_key_create (__gthread_key_t *__key UNUSED, void (*__func) (void *) UNUSED) +{ + return 0; +} + +static int UNUSED +__gthread_key_delete (__gthread_key_t __key UNUSED) +{ + return 0; +} + +static inline void * +__gthread_getspecific (__gthread_key_t __key UNUSED) +{ + return 0; +} + +static inline int +__gthread_setspecific (__gthread_key_t __key UNUSED, const void *__v UNUSED) +{ + return 0; +} + +static inline int +__gthread_mutex_destroy (__gthread_mutex_t *__mutex UNUSED) +{ + return 0; +} + +static inline int +__gthread_mutex_lock (__gthread_mutex_t *__mutex UNUSED) +{ + return 0; +} + +static inline int +__gthread_mutex_trylock (__gthread_mutex_t *__mutex UNUSED) +{ + return 0; +} + +static inline int +__gthread_mutex_unlock (__gthread_mutex_t *__mutex UNUSED) +{ + return 0; +} + +static inline int +__gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_lock (__mutex); +} + +static inline int +__gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_trylock (__mutex); +} + +static inline int +__gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_unlock (__mutex); +} + +static inline int +__gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *__mutex) +{ + return __gthread_mutex_destroy (__mutex); +} + +#endif /* _LIBOBJC */ + +#undef UNUSED + +#endif /* ! GCC_GTHR_SINGLE_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/gthr.h b/contrib/toolchain/gcc/5x/libgcc/gthr.h new file mode 100644 index 0000000000..ba2c757b0c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/gthr.h @@ -0,0 +1,154 @@ +/* Threads compatibility routines for libgcc2. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_GTHR_H +#define GCC_GTHR_H + +#ifndef HIDE_EXPORTS +#pragma GCC visibility push(default) +#endif + +/* If this file is compiled with threads support, it must + #define __GTHREADS 1 + to indicate that threads support is present. Also it has define + function + int __gthread_active_p () + that returns 1 if thread system is active, 0 if not. + + The threads interface must define the following types: + __gthread_key_t + __gthread_once_t + __gthread_mutex_t + __gthread_recursive_mutex_t + + The threads interface must define the following macros: + + __GTHREAD_ONCE_INIT + to initialize __gthread_once_t + __GTHREAD_MUTEX_INIT + to initialize __gthread_mutex_t to get a fast + non-recursive mutex. + __GTHREAD_MUTEX_INIT_FUNCTION + to initialize __gthread_mutex_t to get a fast + non-recursive mutex. + Define this to a function which looks like this: + void __GTHREAD_MUTEX_INIT_FUNCTION (__gthread_mutex_t *) + Some systems can't initialize a mutex without a + function call. Don't define __GTHREAD_MUTEX_INIT in this case. + __GTHREAD_RECURSIVE_MUTEX_INIT + __GTHREAD_RECURSIVE_MUTEX_INIT_FUNCTION + as above, but for a recursive mutex. + + The threads interface must define the following static functions: + + int __gthread_once (__gthread_once_t *once, void (*func) ()) + + int __gthread_key_create (__gthread_key_t *keyp, void (*dtor) (void *)) + int __gthread_key_delete (__gthread_key_t key) + + void *__gthread_getspecific (__gthread_key_t key) + int __gthread_setspecific (__gthread_key_t key, const void *ptr) + + int __gthread_mutex_destroy (__gthread_mutex_t *mutex); + int __gthread_recursive_mutex_destroy (__gthread_recursive_mutex_t *mutex); + + int __gthread_mutex_lock (__gthread_mutex_t *mutex); + int __gthread_mutex_trylock (__gthread_mutex_t *mutex); + int __gthread_mutex_unlock (__gthread_mutex_t *mutex); + + int __gthread_recursive_mutex_lock (__gthread_recursive_mutex_t *mutex); + int __gthread_recursive_mutex_trylock (__gthread_recursive_mutex_t *mutex); + int __gthread_recursive_mutex_unlock (__gthread_recursive_mutex_t *mutex); + + The following are supported in POSIX threads only. They are required to + fix a deadlock in static initialization inside libsupc++. The header file + gthr-posix.h defines a symbol __GTHREAD_HAS_COND to signify that these extra + features are supported. + + Types: + __gthread_cond_t + + Macros: + __GTHREAD_COND_INIT + __GTHREAD_COND_INIT_FUNCTION + + Interface: + int __gthread_cond_broadcast (__gthread_cond_t *cond); + int __gthread_cond_wait (__gthread_cond_t *cond, __gthread_mutex_t *mutex); + int __gthread_cond_wait_recursive (__gthread_cond_t *cond, + __gthread_recursive_mutex_t *mutex); + + All functions returning int should return zero on success or the error + number. If the operation is not supported, -1 is returned. + + If the following are also defined, you should + #define __GTHREADS_CXX0X 1 + to enable the c++0x thread library. + + Types: + __gthread_t + __gthread_time_t + + Interface: + int __gthread_create (__gthread_t *thread, void *(*func) (void*), + void *args); + int __gthread_join (__gthread_t thread, void **value_ptr); + int __gthread_detach (__gthread_t thread); + int __gthread_equal (__gthread_t t1, __gthread_t t2); + __gthread_t __gthread_self (void); + int __gthread_yield (void); + + int __gthread_mutex_timedlock (__gthread_mutex_t *m, + const __gthread_time_t *abs_timeout); + int __gthread_recursive_mutex_timedlock (__gthread_recursive_mutex_t *m, + const __gthread_time_t *abs_time); + + int __gthread_cond_signal (__gthread_cond_t *cond); + int __gthread_cond_timedwait (__gthread_cond_t *cond, + __gthread_mutex_t *mutex, + const __gthread_time_t *abs_timeout); + +*/ + +#if SUPPORTS_WEAK +/* The pe-coff weak support isn't fully compatible to ELF's weak. + For static libraries it might would work, but as we need to deal + with shared versions too, we disable it for mingw-targets. */ +#ifdef __MINGW32__ +#undef GTHREAD_USE_WEAK +#define GTHREAD_USE_WEAK 0 +#endif + +#ifndef GTHREAD_USE_WEAK +#define GTHREAD_USE_WEAK 1 +#endif +#endif +#include "gthr-default.h" + +#ifndef HIDE_EXPORTS +#pragma GCC visibility pop +#endif + +#endif /* ! GCC_GTHR_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcc2.c b/contrib/toolchain/gcc/5x/libgcc/libgcc2.c new file mode 100644 index 0000000000..0ef8823428 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcc2.c @@ -0,0 +1,2323 @@ +/* More subroutines needed by GCC output code on some machines. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1989-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +#ifdef HAVE_GAS_HIDDEN +#define ATTRIBUTE_HIDDEN __attribute__ ((__visibility__ ("hidden"))) +#else +#define ATTRIBUTE_HIDDEN +#endif + +/* Work out the largest "word" size that we can deal with on this target. */ +#if MIN_UNITS_PER_WORD > 4 +# define LIBGCC2_MAX_UNITS_PER_WORD 8 +#elif (MIN_UNITS_PER_WORD > 2 \ + || (MIN_UNITS_PER_WORD > 1 && __SIZEOF_LONG_LONG__ > 4)) +# define LIBGCC2_MAX_UNITS_PER_WORD 4 +#else +# define LIBGCC2_MAX_UNITS_PER_WORD MIN_UNITS_PER_WORD +#endif + +/* Work out what word size we are using for this compilation. + The value can be set on the command line. */ +#ifndef LIBGCC2_UNITS_PER_WORD +#define LIBGCC2_UNITS_PER_WORD LIBGCC2_MAX_UNITS_PER_WORD +#endif + +#if LIBGCC2_UNITS_PER_WORD <= LIBGCC2_MAX_UNITS_PER_WORD + +#include "libgcc2.h" + +#ifdef DECLARE_LIBRARY_RENAMES + DECLARE_LIBRARY_RENAMES +#endif + +#if defined (L_negdi2) +DWtype +__negdi2 (DWtype u) +{ + const DWunion uu = {.ll = u}; + const DWunion w = { {.low = -uu.s.low, + .high = -uu.s.high - ((UWtype) -uu.s.low > 0) } }; + + return w.ll; +} +#endif + +#ifdef L_addvsi3 +Wtype +__addvSI3 (Wtype a, Wtype b) +{ + const Wtype w = (UWtype) a + (UWtype) b; + + if (b >= 0 ? w < a : w > a) + abort (); + + return w; +} +#ifdef COMPAT_SIMODE_TRAPPING_ARITHMETIC +SItype +__addvsi3 (SItype a, SItype b) +{ + const SItype w = (USItype) a + (USItype) b; + + if (b >= 0 ? w < a : w > a) + abort (); + + return w; +} +#endif /* COMPAT_SIMODE_TRAPPING_ARITHMETIC */ +#endif + +#ifdef L_addvdi3 +DWtype +__addvDI3 (DWtype a, DWtype b) +{ + const DWtype w = (UDWtype) a + (UDWtype) b; + + if (b >= 0 ? w < a : w > a) + abort (); + + return w; +} +#endif + +#ifdef L_subvsi3 +Wtype +__subvSI3 (Wtype a, Wtype b) +{ + const Wtype w = (UWtype) a - (UWtype) b; + + if (b >= 0 ? w > a : w < a) + abort (); + + return w; +} +#ifdef COMPAT_SIMODE_TRAPPING_ARITHMETIC +SItype +__subvsi3 (SItype a, SItype b) +{ + const SItype w = (USItype) a - (USItype) b; + + if (b >= 0 ? w > a : w < a) + abort (); + + return w; +} +#endif /* COMPAT_SIMODE_TRAPPING_ARITHMETIC */ +#endif + +#ifdef L_subvdi3 +DWtype +__subvDI3 (DWtype a, DWtype b) +{ + const DWtype w = (UDWtype) a - (UDWtype) b; + + if (b >= 0 ? w > a : w < a) + abort (); + + return w; +} +#endif + +#ifdef L_mulvsi3 +Wtype +__mulvSI3 (Wtype a, Wtype b) +{ + const DWtype w = (DWtype) a * (DWtype) b; + + if ((Wtype) (w >> W_TYPE_SIZE) != (Wtype) w >> (W_TYPE_SIZE - 1)) + abort (); + + return w; +} +#ifdef COMPAT_SIMODE_TRAPPING_ARITHMETIC +#undef WORD_SIZE +#define WORD_SIZE (sizeof (SItype) * BITS_PER_UNIT) +SItype +__mulvsi3 (SItype a, SItype b) +{ + const DItype w = (DItype) a * (DItype) b; + + if ((SItype) (w >> WORD_SIZE) != (SItype) w >> (WORD_SIZE-1)) + abort (); + + return w; +} +#endif /* COMPAT_SIMODE_TRAPPING_ARITHMETIC */ +#endif + +#ifdef L_negvsi2 +Wtype +__negvSI2 (Wtype a) +{ + const Wtype w = -(UWtype) a; + + if (a >= 0 ? w > 0 : w < 0) + abort (); + + return w; +} +#ifdef COMPAT_SIMODE_TRAPPING_ARITHMETIC +SItype +__negvsi2 (SItype a) +{ + const SItype w = -(USItype) a; + + if (a >= 0 ? w > 0 : w < 0) + abort (); + + return w; +} +#endif /* COMPAT_SIMODE_TRAPPING_ARITHMETIC */ +#endif + +#ifdef L_negvdi2 +DWtype +__negvDI2 (DWtype a) +{ + const DWtype w = -(UDWtype) a; + + if (a >= 0 ? w > 0 : w < 0) + abort (); + + return w; +} +#endif + +#ifdef L_absvsi2 +Wtype +__absvSI2 (Wtype a) +{ + Wtype w = a; + + if (a < 0) +#ifdef L_negvsi2 + w = __negvSI2 (a); +#else + w = -(UWtype) a; + + if (w < 0) + abort (); +#endif + + return w; +} +#ifdef COMPAT_SIMODE_TRAPPING_ARITHMETIC +SItype +__absvsi2 (SItype a) +{ + SItype w = a; + + if (a < 0) +#ifdef L_negvsi2 + w = __negvsi2 (a); +#else + w = -(USItype) a; + + if (w < 0) + abort (); +#endif + + return w; +} +#endif /* COMPAT_SIMODE_TRAPPING_ARITHMETIC */ +#endif + +#ifdef L_absvdi2 +DWtype +__absvDI2 (DWtype a) +{ + DWtype w = a; + + if (a < 0) +#ifdef L_negvdi2 + w = __negvDI2 (a); +#else + w = -(UDWtype) a; + + if (w < 0) + abort (); +#endif + + return w; +} +#endif + +#ifdef L_mulvdi3 +DWtype +__mulvDI3 (DWtype u, DWtype v) +{ + /* The unchecked multiplication needs 3 Wtype x Wtype multiplications, + but the checked multiplication needs only two. */ + const DWunion uu = {.ll = u}; + const DWunion vv = {.ll = v}; + + if (__builtin_expect (uu.s.high == uu.s.low >> (W_TYPE_SIZE - 1), 1)) + { + /* u fits in a single Wtype. */ + if (__builtin_expect (vv.s.high == vv.s.low >> (W_TYPE_SIZE - 1), 1)) + { + /* v fits in a single Wtype as well. */ + /* A single multiplication. No overflow risk. */ + return (DWtype) uu.s.low * (DWtype) vv.s.low; + } + else + { + /* Two multiplications. */ + DWunion w0 = {.ll = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.low}; + DWunion w1 = {.ll = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.high}; + + if (vv.s.high < 0) + w1.s.high -= uu.s.low; + if (uu.s.low < 0) + w1.ll -= vv.ll; + w1.ll += (UWtype) w0.s.high; + if (__builtin_expect (w1.s.high == w1.s.low >> (W_TYPE_SIZE - 1), 1)) + { + w0.s.high = w1.s.low; + return w0.ll; + } + } + } + else + { + if (__builtin_expect (vv.s.high == vv.s.low >> (W_TYPE_SIZE - 1), 1)) + { + /* v fits into a single Wtype. */ + /* Two multiplications. */ + DWunion w0 = {.ll = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.low}; + DWunion w1 = {.ll = (UDWtype) (UWtype) uu.s.high + * (UDWtype) (UWtype) vv.s.low}; + + if (uu.s.high < 0) + w1.s.high -= vv.s.low; + if (vv.s.low < 0) + w1.ll -= uu.ll; + w1.ll += (UWtype) w0.s.high; + if (__builtin_expect (w1.s.high == w1.s.low >> (W_TYPE_SIZE - 1), 1)) + { + w0.s.high = w1.s.low; + return w0.ll; + } + } + else + { + /* A few sign checks and a single multiplication. */ + if (uu.s.high >= 0) + { + if (vv.s.high >= 0) + { + if (uu.s.high == 0 && vv.s.high == 0) + { + const DWtype w = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.low; + if (__builtin_expect (w >= 0, 1)) + return w; + } + } + else + { + if (uu.s.high == 0 && vv.s.high == (Wtype) -1) + { + DWunion ww = {.ll = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.low}; + + ww.s.high -= uu.s.low; + if (__builtin_expect (ww.s.high < 0, 1)) + return ww.ll; + } + } + } + else + { + if (vv.s.high >= 0) + { + if (uu.s.high == (Wtype) -1 && vv.s.high == 0) + { + DWunion ww = {.ll = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.low}; + + ww.s.high -= vv.s.low; + if (__builtin_expect (ww.s.high < 0, 1)) + return ww.ll; + } + } + else + { + if (uu.s.high == (Wtype) -1 && vv.s.high == (Wtype) - 1) + { + DWunion ww = {.ll = (UDWtype) (UWtype) uu.s.low + * (UDWtype) (UWtype) vv.s.low}; + + ww.s.high -= uu.s.low; + ww.s.high -= vv.s.low; + if (__builtin_expect (ww.s.high >= 0, 1)) + return ww.ll; + } + } + } + } + } + + /* Overflow. */ + abort (); +} +#endif + + +/* Unless shift functions are defined with full ANSI prototypes, + parameter b will be promoted to int if shift_count_type is smaller than an int. */ +#ifdef L_lshrdi3 +DWtype +__lshrdi3 (DWtype u, shift_count_type b) +{ + if (b == 0) + return u; + + const DWunion uu = {.ll = u}; + const shift_count_type bm = W_TYPE_SIZE - b; + DWunion w; + + if (bm <= 0) + { + w.s.high = 0; + w.s.low = (UWtype) uu.s.high >> -bm; + } + else + { + const UWtype carries = (UWtype) uu.s.high << bm; + + w.s.high = (UWtype) uu.s.high >> b; + w.s.low = ((UWtype) uu.s.low >> b) | carries; + } + + return w.ll; +} +#endif + +#ifdef L_ashldi3 +DWtype +__ashldi3 (DWtype u, shift_count_type b) +{ + if (b == 0) + return u; + + const DWunion uu = {.ll = u}; + const shift_count_type bm = W_TYPE_SIZE - b; + DWunion w; + + if (bm <= 0) + { + w.s.low = 0; + w.s.high = (UWtype) uu.s.low << -bm; + } + else + { + const UWtype carries = (UWtype) uu.s.low >> bm; + + w.s.low = (UWtype) uu.s.low << b; + w.s.high = ((UWtype) uu.s.high << b) | carries; + } + + return w.ll; +} +#endif + +#ifdef L_ashrdi3 +DWtype +__ashrdi3 (DWtype u, shift_count_type b) +{ + if (b == 0) + return u; + + const DWunion uu = {.ll = u}; + const shift_count_type bm = W_TYPE_SIZE - b; + DWunion w; + + if (bm <= 0) + { + /* w.s.high = 1..1 or 0..0 */ + w.s.high = uu.s.high >> (W_TYPE_SIZE - 1); + w.s.low = uu.s.high >> -bm; + } + else + { + const UWtype carries = (UWtype) uu.s.high << bm; + + w.s.high = uu.s.high >> b; + w.s.low = ((UWtype) uu.s.low >> b) | carries; + } + + return w.ll; +} +#endif + +#ifdef L_bswapsi2 +SItype +__bswapsi2 (SItype u) +{ + return ((((u) & 0xff000000) >> 24) + | (((u) & 0x00ff0000) >> 8) + | (((u) & 0x0000ff00) << 8) + | (((u) & 0x000000ff) << 24)); +} +#endif +#ifdef L_bswapdi2 +DItype +__bswapdi2 (DItype u) +{ + return ((((u) & 0xff00000000000000ull) >> 56) + | (((u) & 0x00ff000000000000ull) >> 40) + | (((u) & 0x0000ff0000000000ull) >> 24) + | (((u) & 0x000000ff00000000ull) >> 8) + | (((u) & 0x00000000ff000000ull) << 8) + | (((u) & 0x0000000000ff0000ull) << 24) + | (((u) & 0x000000000000ff00ull) << 40) + | (((u) & 0x00000000000000ffull) << 56)); +} +#endif +#ifdef L_ffssi2 +#undef int +int +__ffsSI2 (UWtype u) +{ + UWtype count; + + if (u == 0) + return 0; + + count_trailing_zeros (count, u); + return count + 1; +} +#endif + +#ifdef L_ffsdi2 +#undef int +int +__ffsDI2 (DWtype u) +{ + const DWunion uu = {.ll = u}; + UWtype word, count, add; + + if (uu.s.low != 0) + word = uu.s.low, add = 0; + else if (uu.s.high != 0) + word = uu.s.high, add = W_TYPE_SIZE; + else + return 0; + + count_trailing_zeros (count, word); + return count + add + 1; +} +#endif + +#ifdef L_muldi3 +DWtype +__muldi3 (DWtype u, DWtype v) +{ + const DWunion uu = {.ll = u}; + const DWunion vv = {.ll = v}; + DWunion w = {.ll = __umulsidi3 (uu.s.low, vv.s.low)}; + + w.s.high += ((UWtype) uu.s.low * (UWtype) vv.s.high + + (UWtype) uu.s.high * (UWtype) vv.s.low); + + return w.ll; +} +#endif + +#if (defined (L_udivdi3) || defined (L_divdi3) || \ + defined (L_umoddi3) || defined (L_moddi3)) +#if defined (sdiv_qrnnd) +#define L_udiv_w_sdiv +#endif +#endif + +#ifdef L_udiv_w_sdiv +#if defined (sdiv_qrnnd) +#if (defined (L_udivdi3) || defined (L_divdi3) || \ + defined (L_umoddi3) || defined (L_moddi3)) +static inline __attribute__ ((__always_inline__)) +#endif +UWtype +__udiv_w_sdiv (UWtype *rp, UWtype a1, UWtype a0, UWtype d) +{ + UWtype q, r; + UWtype c0, c1, b1; + + if ((Wtype) d >= 0) + { + if (a1 < d - a1 - (a0 >> (W_TYPE_SIZE - 1))) + { + /* Dividend, divisor, and quotient are nonnegative. */ + sdiv_qrnnd (q, r, a1, a0, d); + } + else + { + /* Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d. */ + sub_ddmmss (c1, c0, a1, a0, d >> 1, d << (W_TYPE_SIZE - 1)); + /* Divide (c1*2^32 + c0) by d. */ + sdiv_qrnnd (q, r, c1, c0, d); + /* Add 2^31 to quotient. */ + q += (UWtype) 1 << (W_TYPE_SIZE - 1); + } + } + else + { + b1 = d >> 1; /* d/2, between 2^30 and 2^31 - 1 */ + c1 = a1 >> 1; /* A/2 */ + c0 = (a1 << (W_TYPE_SIZE - 1)) + (a0 >> 1); + + if (a1 < b1) /* A < 2^32*b1, so A/2 < 2^31*b1 */ + { + sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */ + + r = 2*r + (a0 & 1); /* Remainder from A/(2*b1) */ + if ((d & 1) != 0) + { + if (r >= q) + r = r - q; + else if (q - r <= d) + { + r = r - q + d; + q--; + } + else + { + r = r - q + 2*d; + q -= 2; + } + } + } + else if (c1 < b1) /* So 2^31 <= (A/2)/b1 < 2^32 */ + { + c1 = (b1 - 1) - c1; + c0 = ~c0; /* logical NOT */ + + sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */ + + q = ~q; /* (A/2)/b1 */ + r = (b1 - 1) - r; + + r = 2*r + (a0 & 1); /* A/(2*b1) */ + + if ((d & 1) != 0) + { + if (r >= q) + r = r - q; + else if (q - r <= d) + { + r = r - q + d; + q--; + } + else + { + r = r - q + 2*d; + q -= 2; + } + } + } + else /* Implies c1 = b1 */ + { /* Hence a1 = d - 1 = 2*b1 - 1 */ + if (a0 >= -d) + { + q = -1; + r = a0 + d; + } + else + { + q = -2; + r = a0 + 2*d; + } + } + } + + *rp = r; + return q; +} +#else +/* If sdiv_qrnnd doesn't exist, define dummy __udiv_w_sdiv. */ +UWtype +__udiv_w_sdiv (UWtype *rp __attribute__ ((__unused__)), + UWtype a1 __attribute__ ((__unused__)), + UWtype a0 __attribute__ ((__unused__)), + UWtype d __attribute__ ((__unused__))) +{ + return 0; +} +#endif +#endif + +#if (defined (L_udivdi3) || defined (L_divdi3) || \ + defined (L_umoddi3) || defined (L_moddi3)) +#define L_udivmoddi4 +#endif + +#ifdef L_clz +const UQItype __clz_tab[256] = +{ + 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, + 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, + 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8 +}; +#endif + +#ifdef L_clzsi2 +#undef int +int +__clzSI2 (UWtype x) +{ + Wtype ret; + + count_leading_zeros (ret, x); + + return ret; +} +#endif + +#ifdef L_clzdi2 +#undef int +int +__clzDI2 (UDWtype x) +{ + const DWunion uu = {.ll = x}; + UWtype word; + Wtype ret, add; + + if (uu.s.high) + word = uu.s.high, add = 0; + else + word = uu.s.low, add = W_TYPE_SIZE; + + count_leading_zeros (ret, word); + return ret + add; +} +#endif + +#ifdef L_ctzsi2 +#undef int +int +__ctzSI2 (UWtype x) +{ + Wtype ret; + + count_trailing_zeros (ret, x); + + return ret; +} +#endif + +#ifdef L_ctzdi2 +#undef int +int +__ctzDI2 (UDWtype x) +{ + const DWunion uu = {.ll = x}; + UWtype word; + Wtype ret, add; + + if (uu.s.low) + word = uu.s.low, add = 0; + else + word = uu.s.high, add = W_TYPE_SIZE; + + count_trailing_zeros (ret, word); + return ret + add; +} +#endif + +#ifdef L_clrsbsi2 +#undef int +int +__clrsbSI2 (Wtype x) +{ + Wtype ret; + + if (x < 0) + x = ~x; + if (x == 0) + return W_TYPE_SIZE - 1; + count_leading_zeros (ret, x); + return ret - 1; +} +#endif + +#ifdef L_clrsbdi2 +#undef int +int +__clrsbDI2 (DWtype x) +{ + const DWunion uu = {.ll = x}; + UWtype word; + Wtype ret, add; + + if (uu.s.high == 0) + word = uu.s.low, add = W_TYPE_SIZE; + else if (uu.s.high == -1) + word = ~uu.s.low, add = W_TYPE_SIZE; + else if (uu.s.high >= 0) + word = uu.s.high, add = 0; + else + word = ~uu.s.high, add = 0; + + if (word == 0) + ret = W_TYPE_SIZE; + else + count_leading_zeros (ret, word); + + return ret + add - 1; +} +#endif + +#ifdef L_popcount_tab +const UQItype __popcount_tab[256] = +{ + 0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5, + 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, + 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, + 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, + 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6, + 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, + 2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7, + 3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8 +}; +#endif + +#if defined(L_popcountsi2) || defined(L_popcountdi2) +#define POPCOUNTCST2(x) (((UWtype) x << BITS_PER_UNIT) | x) +#define POPCOUNTCST4(x) (((UWtype) x << (2 * BITS_PER_UNIT)) | x) +#define POPCOUNTCST8(x) (((UWtype) x << (4 * BITS_PER_UNIT)) | x) +#if W_TYPE_SIZE == BITS_PER_UNIT +#define POPCOUNTCST(x) x +#elif W_TYPE_SIZE == 2 * BITS_PER_UNIT +#define POPCOUNTCST(x) POPCOUNTCST2 (x) +#elif W_TYPE_SIZE == 4 * BITS_PER_UNIT +#define POPCOUNTCST(x) POPCOUNTCST4 (POPCOUNTCST2 (x)) +#elif W_TYPE_SIZE == 8 * BITS_PER_UNIT +#define POPCOUNTCST(x) POPCOUNTCST8 (POPCOUNTCST4 (POPCOUNTCST2 (x))) +#endif +#endif + +#ifdef L_popcountsi2 +#undef int +int +__popcountSI2 (UWtype x) +{ + /* Force table lookup on targets like AVR and RL78 which only + pretend they have LIBGCC2_UNITS_PER_WORD 4, but actually + have 1, and other small word targets. */ +#if __SIZEOF_INT__ > 2 && defined (POPCOUNTCST) && BITS_PER_UNIT == 8 + x = x - ((x >> 1) & POPCOUNTCST (0x55)); + x = (x & POPCOUNTCST (0x33)) + ((x >> 2) & POPCOUNTCST (0x33)); + x = (x + (x >> 4)) & POPCOUNTCST (0x0F); + return (x * POPCOUNTCST (0x01)) >> (W_TYPE_SIZE - BITS_PER_UNIT); +#else + int i, ret = 0; + + for (i = 0; i < W_TYPE_SIZE; i += 8) + ret += __popcount_tab[(x >> i) & 0xff]; + + return ret; +#endif +} +#endif + +#ifdef L_popcountdi2 +#undef int +int +__popcountDI2 (UDWtype x) +{ + /* Force table lookup on targets like AVR and RL78 which only + pretend they have LIBGCC2_UNITS_PER_WORD 4, but actually + have 1, and other small word targets. */ +#if __SIZEOF_INT__ > 2 && defined (POPCOUNTCST) && BITS_PER_UNIT == 8 + const DWunion uu = {.ll = x}; + UWtype x1 = uu.s.low, x2 = uu.s.high; + x1 = x1 - ((x1 >> 1) & POPCOUNTCST (0x55)); + x2 = x2 - ((x2 >> 1) & POPCOUNTCST (0x55)); + x1 = (x1 & POPCOUNTCST (0x33)) + ((x1 >> 2) & POPCOUNTCST (0x33)); + x2 = (x2 & POPCOUNTCST (0x33)) + ((x2 >> 2) & POPCOUNTCST (0x33)); + x1 = (x1 + (x1 >> 4)) & POPCOUNTCST (0x0F); + x2 = (x2 + (x2 >> 4)) & POPCOUNTCST (0x0F); + x1 += x2; + return (x1 * POPCOUNTCST (0x01)) >> (W_TYPE_SIZE - BITS_PER_UNIT); +#else + int i, ret = 0; + + for (i = 0; i < 2*W_TYPE_SIZE; i += 8) + ret += __popcount_tab[(x >> i) & 0xff]; + + return ret; +#endif +} +#endif + +#ifdef L_paritysi2 +#undef int +int +__paritySI2 (UWtype x) +{ +#if W_TYPE_SIZE > 64 +# error "fill out the table" +#endif +#if W_TYPE_SIZE > 32 + x ^= x >> 32; +#endif +#if W_TYPE_SIZE > 16 + x ^= x >> 16; +#endif + x ^= x >> 8; + x ^= x >> 4; + x &= 0xf; + return (0x6996 >> x) & 1; +} +#endif + +#ifdef L_paritydi2 +#undef int +int +__parityDI2 (UDWtype x) +{ + const DWunion uu = {.ll = x}; + UWtype nx = uu.s.low ^ uu.s.high; + +#if W_TYPE_SIZE > 64 +# error "fill out the table" +#endif +#if W_TYPE_SIZE > 32 + nx ^= nx >> 32; +#endif +#if W_TYPE_SIZE > 16 + nx ^= nx >> 16; +#endif + nx ^= nx >> 8; + nx ^= nx >> 4; + nx &= 0xf; + return (0x6996 >> nx) & 1; +} +#endif + +#ifdef L_udivmoddi4 +#ifdef TARGET_HAS_NO_HW_DIVIDE + +#if (defined (L_udivdi3) || defined (L_divdi3) || \ + defined (L_umoddi3) || defined (L_moddi3)) +static inline __attribute__ ((__always_inline__)) +#endif +UDWtype +__udivmoddi4 (UDWtype n, UDWtype d, UDWtype *rp) +{ + UDWtype q = 0, r = n, y = d; + UWtype lz1, lz2, i, k; + + /* Implements align divisor shift dividend method. This algorithm + aligns the divisor under the dividend and then perform number of + test-subtract iterations which shift the dividend left. Number of + iterations is k + 1 where k is the number of bit positions the + divisor must be shifted left to align it under the dividend. + quotient bits can be saved in the rightmost positions of the dividend + as it shifts left on each test-subtract iteration. */ + + if (y <= r) + { + lz1 = __builtin_clzll (d); + lz2 = __builtin_clzll (n); + + k = lz1 - lz2; + y = (y << k); + + /* Dividend can exceed 2 ^ (width − 1) − 1 but still be less than the + aligned divisor. Normal iteration can drops the high order bit + of the dividend. Therefore, first test-subtract iteration is a + special case, saving its quotient bit in a separate location and + not shifting the dividend. */ + if (r >= y) + { + r = r - y; + q = (1ULL << k); + } + + if (k > 0) + { + y = y >> 1; + + /* k additional iterations where k regular test subtract shift + dividend iterations are done. */ + i = k; + do + { + if (r >= y) + r = ((r - y) << 1) + 1; + else + r = (r << 1); + i = i - 1; + } while (i != 0); + + /* First quotient bit is combined with the quotient bits resulting + from the k regular iterations. */ + q = q + r; + r = r >> k; + q = q - (r << k); + } + } + + if (rp) + *rp = r; + return q; +} +#else + +#if (defined (L_udivdi3) || defined (L_divdi3) || \ + defined (L_umoddi3) || defined (L_moddi3)) +static inline __attribute__ ((__always_inline__)) +#endif +UDWtype +__udivmoddi4 (UDWtype n, UDWtype d, UDWtype *rp) +{ + const DWunion nn = {.ll = n}; + const DWunion dd = {.ll = d}; + DWunion rr; + UWtype d0, d1, n0, n1, n2; + UWtype q0, q1; + UWtype b, bm; + + d0 = dd.s.low; + d1 = dd.s.high; + n0 = nn.s.low; + n1 = nn.s.high; + +#if !UDIV_NEEDS_NORMALIZATION + if (d1 == 0) + { + if (d0 > n1) + { + /* 0q = nn / 0D */ + + udiv_qrnnd (q0, n0, n1, n0, d0); + q1 = 0; + + /* Remainder in n0. */ + } + else + { + /* qq = NN / 0d */ + + if (d0 == 0) + d0 = 1 / d0; /* Divide intentionally by zero. */ + + udiv_qrnnd (q1, n1, 0, n1, d0); + udiv_qrnnd (q0, n0, n1, n0, d0); + + /* Remainder in n0. */ + } + + if (rp != 0) + { + rr.s.low = n0; + rr.s.high = 0; + *rp = rr.ll; + } + } + +#else /* UDIV_NEEDS_NORMALIZATION */ + + if (d1 == 0) + { + if (d0 > n1) + { + /* 0q = nn / 0D */ + + count_leading_zeros (bm, d0); + + if (bm != 0) + { + /* Normalize, i.e. make the most significant bit of the + denominator set. */ + + d0 = d0 << bm; + n1 = (n1 << bm) | (n0 >> (W_TYPE_SIZE - bm)); + n0 = n0 << bm; + } + + udiv_qrnnd (q0, n0, n1, n0, d0); + q1 = 0; + + /* Remainder in n0 >> bm. */ + } + else + { + /* qq = NN / 0d */ + + if (d0 == 0) + d0 = 1 / d0; /* Divide intentionally by zero. */ + + count_leading_zeros (bm, d0); + + if (bm == 0) + { + /* From (n1 >= d0) /\ (the most significant bit of d0 is set), + conclude (the most significant bit of n1 is set) /\ (the + leading quotient digit q1 = 1). + + This special case is necessary, not an optimization. + (Shifts counts of W_TYPE_SIZE are undefined.) */ + + n1 -= d0; + q1 = 1; + } + else + { + /* Normalize. */ + + b = W_TYPE_SIZE - bm; + + d0 = d0 << bm; + n2 = n1 >> b; + n1 = (n1 << bm) | (n0 >> b); + n0 = n0 << bm; + + udiv_qrnnd (q1, n1, n2, n1, d0); + } + + /* n1 != d0... */ + + udiv_qrnnd (q0, n0, n1, n0, d0); + + /* Remainder in n0 >> bm. */ + } + + if (rp != 0) + { + rr.s.low = n0 >> bm; + rr.s.high = 0; + *rp = rr.ll; + } + } +#endif /* UDIV_NEEDS_NORMALIZATION */ + + else + { + if (d1 > n1) + { + /* 00 = nn / DD */ + + q0 = 0; + q1 = 0; + + /* Remainder in n1n0. */ + if (rp != 0) + { + rr.s.low = n0; + rr.s.high = n1; + *rp = rr.ll; + } + } + else + { + /* 0q = NN / dd */ + + count_leading_zeros (bm, d1); + if (bm == 0) + { + /* From (n1 >= d1) /\ (the most significant bit of d1 is set), + conclude (the most significant bit of n1 is set) /\ (the + quotient digit q0 = 0 or 1). + + This special case is necessary, not an optimization. */ + + /* The condition on the next line takes advantage of that + n1 >= d1 (true due to program flow). */ + if (n1 > d1 || n0 >= d0) + { + q0 = 1; + sub_ddmmss (n1, n0, n1, n0, d1, d0); + } + else + q0 = 0; + + q1 = 0; + + if (rp != 0) + { + rr.s.low = n0; + rr.s.high = n1; + *rp = rr.ll; + } + } + else + { + UWtype m1, m0; + /* Normalize. */ + + b = W_TYPE_SIZE - bm; + + d1 = (d1 << bm) | (d0 >> b); + d0 = d0 << bm; + n2 = n1 >> b; + n1 = (n1 << bm) | (n0 >> b); + n0 = n0 << bm; + + udiv_qrnnd (q0, n1, n2, n1, d1); + umul_ppmm (m1, m0, q0, d0); + + if (m1 > n1 || (m1 == n1 && m0 > n0)) + { + q0--; + sub_ddmmss (m1, m0, m1, m0, d1, d0); + } + + q1 = 0; + + /* Remainder in (n1n0 - m1m0) >> bm. */ + if (rp != 0) + { + sub_ddmmss (n1, n0, n1, n0, m1, m0); + rr.s.low = (n1 << b) | (n0 >> bm); + rr.s.high = n1 >> bm; + *rp = rr.ll; + } + } + } + } + + const DWunion ww = {{.low = q0, .high = q1}}; + return ww.ll; +} +#endif +#endif + +#ifdef L_divdi3 +DWtype +__divdi3 (DWtype u, DWtype v) +{ + Wtype c = 0; + DWunion uu = {.ll = u}; + DWunion vv = {.ll = v}; + DWtype w; + + if (uu.s.high < 0) + c = ~c, + uu.ll = -uu.ll; + if (vv.s.high < 0) + c = ~c, + vv.ll = -vv.ll; + + w = __udivmoddi4 (uu.ll, vv.ll, (UDWtype *) 0); + if (c) + w = -w; + + return w; +} +#endif + +#ifdef L_moddi3 +DWtype +__moddi3 (DWtype u, DWtype v) +{ + Wtype c = 0; + DWunion uu = {.ll = u}; + DWunion vv = {.ll = v}; + DWtype w; + + if (uu.s.high < 0) + c = ~c, + uu.ll = -uu.ll; + if (vv.s.high < 0) + vv.ll = -vv.ll; + + (void) __udivmoddi4 (uu.ll, vv.ll, (UDWtype*)&w); + if (c) + w = -w; + + return w; +} +#endif + +#ifdef L_umoddi3 +UDWtype +__umoddi3 (UDWtype u, UDWtype v) +{ + UDWtype w; + + (void) __udivmoddi4 (u, v, &w); + + return w; +} +#endif + +#ifdef L_udivdi3 +UDWtype +__udivdi3 (UDWtype n, UDWtype d) +{ + return __udivmoddi4 (n, d, (UDWtype *) 0); +} +#endif + +#ifdef L_cmpdi2 +cmp_return_type +__cmpdi2 (DWtype a, DWtype b) +{ + const DWunion au = {.ll = a}; + const DWunion bu = {.ll = b}; + + if (au.s.high < bu.s.high) + return 0; + else if (au.s.high > bu.s.high) + return 2; + if ((UWtype) au.s.low < (UWtype) bu.s.low) + return 0; + else if ((UWtype) au.s.low > (UWtype) bu.s.low) + return 2; + return 1; +} +#endif + +#ifdef L_ucmpdi2 +cmp_return_type +__ucmpdi2 (DWtype a, DWtype b) +{ + const DWunion au = {.ll = a}; + const DWunion bu = {.ll = b}; + + if ((UWtype) au.s.high < (UWtype) bu.s.high) + return 0; + else if ((UWtype) au.s.high > (UWtype) bu.s.high) + return 2; + if ((UWtype) au.s.low < (UWtype) bu.s.low) + return 0; + else if ((UWtype) au.s.low > (UWtype) bu.s.low) + return 2; + return 1; +} +#endif + +#if defined(L_fixunstfdi) && LIBGCC2_HAS_TF_MODE +UDWtype +__fixunstfDI (TFtype a) +{ + if (a < 0) + return 0; + + /* Compute high word of result, as a flonum. */ + const TFtype b = (a / Wtype_MAXp1_F); + /* Convert that to fixed (but not to DWtype!), + and shift it into the high word. */ + UDWtype v = (UWtype) b; + v <<= W_TYPE_SIZE; + /* Remove high part from the TFtype, leaving the low part as flonum. */ + a -= (TFtype)v; + /* Convert that to fixed (but not to DWtype!) and add it in. + Sometimes A comes out negative. This is significant, since + A has more bits than a long int does. */ + if (a < 0) + v -= (UWtype) (- a); + else + v += (UWtype) a; + return v; +} +#endif + +#if defined(L_fixtfdi) && LIBGCC2_HAS_TF_MODE +DWtype +__fixtfdi (TFtype a) +{ + if (a < 0) + return - __fixunstfDI (-a); + return __fixunstfDI (a); +} +#endif + +#if defined(L_fixunsxfdi) && LIBGCC2_HAS_XF_MODE +UDWtype +__fixunsxfDI (XFtype a) +{ + if (a < 0) + return 0; + + /* Compute high word of result, as a flonum. */ + const XFtype b = (a / Wtype_MAXp1_F); + /* Convert that to fixed (but not to DWtype!), + and shift it into the high word. */ + UDWtype v = (UWtype) b; + v <<= W_TYPE_SIZE; + /* Remove high part from the XFtype, leaving the low part as flonum. */ + a -= (XFtype)v; + /* Convert that to fixed (but not to DWtype!) and add it in. + Sometimes A comes out negative. This is significant, since + A has more bits than a long int does. */ + if (a < 0) + v -= (UWtype) (- a); + else + v += (UWtype) a; + return v; +} +#endif + +#if defined(L_fixxfdi) && LIBGCC2_HAS_XF_MODE +DWtype +__fixxfdi (XFtype a) +{ + if (a < 0) + return - __fixunsxfDI (-a); + return __fixunsxfDI (a); +} +#endif + +#if defined(L_fixunsdfdi) && LIBGCC2_HAS_DF_MODE +UDWtype +__fixunsdfDI (DFtype a) +{ + /* Get high part of result. The division here will just moves the radix + point and will not cause any rounding. Then the conversion to integral + type chops result as desired. */ + const UWtype hi = a / Wtype_MAXp1_F; + + /* Get low part of result. Convert `hi' to floating type and scale it back, + then subtract this from the number being converted. This leaves the low + part. Convert that to integral type. */ + const UWtype lo = a - (DFtype) hi * Wtype_MAXp1_F; + + /* Assemble result from the two parts. */ + return ((UDWtype) hi << W_TYPE_SIZE) | lo; +} +#endif + +#if defined(L_fixdfdi) && LIBGCC2_HAS_DF_MODE +DWtype +__fixdfdi (DFtype a) +{ + if (a < 0) + return - __fixunsdfDI (-a); + return __fixunsdfDI (a); +} +#endif + +#if defined(L_fixunssfdi) && LIBGCC2_HAS_SF_MODE +UDWtype +__fixunssfDI (SFtype a) +{ +#if LIBGCC2_HAS_DF_MODE + /* Convert the SFtype to a DFtype, because that is surely not going + to lose any bits. Some day someone else can write a faster version + that avoids converting to DFtype, and verify it really works right. */ + const DFtype dfa = a; + + /* Get high part of result. The division here will just moves the radix + point and will not cause any rounding. Then the conversion to integral + type chops result as desired. */ + const UWtype hi = dfa / Wtype_MAXp1_F; + + /* Get low part of result. Convert `hi' to floating type and scale it back, + then subtract this from the number being converted. This leaves the low + part. Convert that to integral type. */ + const UWtype lo = dfa - (DFtype) hi * Wtype_MAXp1_F; + + /* Assemble result from the two parts. */ + return ((UDWtype) hi << W_TYPE_SIZE) | lo; +#elif FLT_MANT_DIG < W_TYPE_SIZE + if (a < 1) + return 0; + if (a < Wtype_MAXp1_F) + return (UWtype)a; + if (a < Wtype_MAXp1_F * Wtype_MAXp1_F) + { + /* Since we know that there are fewer significant bits in the SFmode + quantity than in a word, we know that we can convert out all the + significant bits in one step, and thus avoid losing bits. */ + + /* ??? This following loop essentially performs frexpf. If we could + use the real libm function, or poke at the actual bits of the fp + format, it would be significantly faster. */ + + UWtype shift = 0, counter; + SFtype msb; + + a /= Wtype_MAXp1_F; + for (counter = W_TYPE_SIZE / 2; counter != 0; counter >>= 1) + { + SFtype counterf = (UWtype)1 << counter; + if (a >= counterf) + { + shift |= counter; + a /= counterf; + } + } + + /* Rescale into the range of one word, extract the bits of that + one word, and shift the result into position. */ + a *= Wtype_MAXp1_F; + counter = a; + return (DWtype)counter << shift; + } + return -1; +#else +# error +#endif +} +#endif + +#if defined(L_fixsfdi) && LIBGCC2_HAS_SF_MODE +DWtype +__fixsfdi (SFtype a) +{ + if (a < 0) + return - __fixunssfDI (-a); + return __fixunssfDI (a); +} +#endif + +#if defined(L_floatdixf) && LIBGCC2_HAS_XF_MODE +XFtype +__floatdixf (DWtype u) +{ +#if W_TYPE_SIZE > __LIBGCC_XF_MANT_DIG__ +# error +#endif + XFtype d = (Wtype) (u >> W_TYPE_SIZE); + d *= Wtype_MAXp1_F; + d += (UWtype)u; + return d; +} +#endif + +#if defined(L_floatundixf) && LIBGCC2_HAS_XF_MODE +XFtype +__floatundixf (UDWtype u) +{ +#if W_TYPE_SIZE > __LIBGCC_XF_MANT_DIG__ +# error +#endif + XFtype d = (UWtype) (u >> W_TYPE_SIZE); + d *= Wtype_MAXp1_F; + d += (UWtype)u; + return d; +} +#endif + +#if defined(L_floatditf) && LIBGCC2_HAS_TF_MODE +TFtype +__floatditf (DWtype u) +{ +#if W_TYPE_SIZE > __LIBGCC_TF_MANT_DIG__ +# error +#endif + TFtype d = (Wtype) (u >> W_TYPE_SIZE); + d *= Wtype_MAXp1_F; + d += (UWtype)u; + return d; +} +#endif + +#if defined(L_floatunditf) && LIBGCC2_HAS_TF_MODE +TFtype +__floatunditf (UDWtype u) +{ +#if W_TYPE_SIZE > __LIBGCC_TF_MANT_DIG__ +# error +#endif + TFtype d = (UWtype) (u >> W_TYPE_SIZE); + d *= Wtype_MAXp1_F; + d += (UWtype)u; + return d; +} +#endif + +#if (defined(L_floatdisf) && LIBGCC2_HAS_SF_MODE) \ + || (defined(L_floatdidf) && LIBGCC2_HAS_DF_MODE) +#define DI_SIZE (W_TYPE_SIZE * 2) +#define F_MODE_OK(SIZE) \ + (SIZE < DI_SIZE \ + && SIZE > (DI_SIZE - SIZE + FSSIZE) \ + && !AVOID_FP_TYPE_CONVERSION(SIZE)) +#if defined(L_floatdisf) +#define FUNC __floatdisf +#define FSTYPE SFtype +#define FSSIZE __LIBGCC_SF_MANT_DIG__ +#else +#define FUNC __floatdidf +#define FSTYPE DFtype +#define FSSIZE __LIBGCC_DF_MANT_DIG__ +#endif + +FSTYPE +FUNC (DWtype u) +{ +#if FSSIZE >= W_TYPE_SIZE + /* When the word size is small, we never get any rounding error. */ + FSTYPE f = (Wtype) (u >> W_TYPE_SIZE); + f *= Wtype_MAXp1_F; + f += (UWtype)u; + return f; +#elif (LIBGCC2_HAS_DF_MODE && F_MODE_OK (__LIBGCC_DF_MANT_DIG__)) \ + || (LIBGCC2_HAS_XF_MODE && F_MODE_OK (__LIBGCC_XF_MANT_DIG__)) \ + || (LIBGCC2_HAS_TF_MODE && F_MODE_OK (__LIBGCC_TF_MANT_DIG__)) + +#if (LIBGCC2_HAS_DF_MODE && F_MODE_OK (__LIBGCC_DF_MANT_DIG__)) +# define FSIZE __LIBGCC_DF_MANT_DIG__ +# define FTYPE DFtype +#elif (LIBGCC2_HAS_XF_MODE && F_MODE_OK (__LIBGCC_XF_MANT_DIG__)) +# define FSIZE __LIBGCC_XF_MANT_DIG__ +# define FTYPE XFtype +#elif (LIBGCC2_HAS_TF_MODE && F_MODE_OK (__LIBGCC_TF_MANT_DIG__)) +# define FSIZE __LIBGCC_TF_MANT_DIG__ +# define FTYPE TFtype +#else +# error +#endif + +#define REP_BIT ((UDWtype) 1 << (DI_SIZE - FSIZE)) + + /* Protect against double-rounding error. + Represent any low-order bits, that might be truncated by a bit that + won't be lost. The bit can go in anywhere below the rounding position + of the FSTYPE. A fixed mask and bit position handles all usual + configurations. */ + if (! (- ((DWtype) 1 << FSIZE) < u + && u < ((DWtype) 1 << FSIZE))) + { + if ((UDWtype) u & (REP_BIT - 1)) + { + u &= ~ (REP_BIT - 1); + u |= REP_BIT; + } + } + + /* Do the calculation in a wider type so that we don't lose any of + the precision of the high word while multiplying it. */ + FTYPE f = (Wtype) (u >> W_TYPE_SIZE); + f *= Wtype_MAXp1_F; + f += (UWtype)u; + return (FSTYPE) f; +#else +#if FSSIZE >= W_TYPE_SIZE - 2 +# error +#endif + /* Finally, the word size is larger than the number of bits in the + required FSTYPE, and we've got no suitable wider type. The only + way to avoid double rounding is to special case the + extraction. */ + + /* If there are no high bits set, fall back to one conversion. */ + if ((Wtype)u == u) + return (FSTYPE)(Wtype)u; + + /* Otherwise, find the power of two. */ + Wtype hi = u >> W_TYPE_SIZE; + if (hi < 0) + hi = -(UWtype) hi; + + UWtype count, shift; + count_leading_zeros (count, hi); + + /* No leading bits means u == minimum. */ + if (count == 0) + return -(Wtype_MAXp1_F * (Wtype_MAXp1_F / 2)); + + shift = 1 + W_TYPE_SIZE - count; + + /* Shift down the most significant bits. */ + hi = u >> shift; + + /* If we lost any nonzero bits, set the lsb to ensure correct rounding. */ + if ((UWtype)u << (W_TYPE_SIZE - shift)) + hi |= 1; + + /* Convert the one word of data, and rescale. */ + FSTYPE f = hi, e; + if (shift == W_TYPE_SIZE) + e = Wtype_MAXp1_F; + /* The following two cases could be merged if we knew that the target + supported a native unsigned->float conversion. More often, we only + have a signed conversion, and have to add extra fixup code. */ + else if (shift == W_TYPE_SIZE - 1) + e = Wtype_MAXp1_F / 2; + else + e = (Wtype)1 << shift; + return f * e; +#endif +} +#endif + +#if (defined(L_floatundisf) && LIBGCC2_HAS_SF_MODE) \ + || (defined(L_floatundidf) && LIBGCC2_HAS_DF_MODE) +#define DI_SIZE (W_TYPE_SIZE * 2) +#define F_MODE_OK(SIZE) \ + (SIZE < DI_SIZE \ + && SIZE > (DI_SIZE - SIZE + FSSIZE) \ + && !AVOID_FP_TYPE_CONVERSION(SIZE)) +#if defined(L_floatundisf) +#define FUNC __floatundisf +#define FSTYPE SFtype +#define FSSIZE __LIBGCC_SF_MANT_DIG__ +#else +#define FUNC __floatundidf +#define FSTYPE DFtype +#define FSSIZE __LIBGCC_DF_MANT_DIG__ +#endif + +FSTYPE +FUNC (UDWtype u) +{ +#if FSSIZE >= W_TYPE_SIZE + /* When the word size is small, we never get any rounding error. */ + FSTYPE f = (UWtype) (u >> W_TYPE_SIZE); + f *= Wtype_MAXp1_F; + f += (UWtype)u; + return f; +#elif (LIBGCC2_HAS_DF_MODE && F_MODE_OK (__LIBGCC_DF_MANT_DIG__)) \ + || (LIBGCC2_HAS_XF_MODE && F_MODE_OK (__LIBGCC_XF_MANT_DIG__)) \ + || (LIBGCC2_HAS_TF_MODE && F_MODE_OK (__LIBGCC_TF_MANT_DIG__)) + +#if (LIBGCC2_HAS_DF_MODE && F_MODE_OK (__LIBGCC_DF_MANT_DIG__)) +# define FSIZE __LIBGCC_DF_MANT_DIG__ +# define FTYPE DFtype +#elif (LIBGCC2_HAS_XF_MODE && F_MODE_OK (__LIBGCC_XF_MANT_DIG__)) +# define FSIZE __LIBGCC_XF_MANT_DIG__ +# define FTYPE XFtype +#elif (LIBGCC2_HAS_TF_MODE && F_MODE_OK (__LIBGCC_TF_MANT_DIG__)) +# define FSIZE __LIBGCC_TF_MANT_DIG__ +# define FTYPE TFtype +#else +# error +#endif + +#define REP_BIT ((UDWtype) 1 << (DI_SIZE - FSIZE)) + + /* Protect against double-rounding error. + Represent any low-order bits, that might be truncated by a bit that + won't be lost. The bit can go in anywhere below the rounding position + of the FSTYPE. A fixed mask and bit position handles all usual + configurations. */ + if (u >= ((UDWtype) 1 << FSIZE)) + { + if ((UDWtype) u & (REP_BIT - 1)) + { + u &= ~ (REP_BIT - 1); + u |= REP_BIT; + } + } + + /* Do the calculation in a wider type so that we don't lose any of + the precision of the high word while multiplying it. */ + FTYPE f = (UWtype) (u >> W_TYPE_SIZE); + f *= Wtype_MAXp1_F; + f += (UWtype)u; + return (FSTYPE) f; +#else +#if FSSIZE == W_TYPE_SIZE - 1 +# error +#endif + /* Finally, the word size is larger than the number of bits in the + required FSTYPE, and we've got no suitable wider type. The only + way to avoid double rounding is to special case the + extraction. */ + + /* If there are no high bits set, fall back to one conversion. */ + if ((UWtype)u == u) + return (FSTYPE)(UWtype)u; + + /* Otherwise, find the power of two. */ + UWtype hi = u >> W_TYPE_SIZE; + + UWtype count, shift; + count_leading_zeros (count, hi); + + shift = W_TYPE_SIZE - count; + + /* Shift down the most significant bits. */ + hi = u >> shift; + + /* If we lost any nonzero bits, set the lsb to ensure correct rounding. */ + if ((UWtype)u << (W_TYPE_SIZE - shift)) + hi |= 1; + + /* Convert the one word of data, and rescale. */ + FSTYPE f = hi, e; + if (shift == W_TYPE_SIZE) + e = Wtype_MAXp1_F; + /* The following two cases could be merged if we knew that the target + supported a native unsigned->float conversion. More often, we only + have a signed conversion, and have to add extra fixup code. */ + else if (shift == W_TYPE_SIZE - 1) + e = Wtype_MAXp1_F / 2; + else + e = (Wtype)1 << shift; + return f * e; +#endif +} +#endif + +#if defined(L_fixunsxfsi) && LIBGCC2_HAS_XF_MODE +UWtype +__fixunsxfSI (XFtype a) +{ + if (a >= - (DFtype) Wtype_MIN) + return (Wtype) (a + Wtype_MIN) - Wtype_MIN; + return (Wtype) a; +} +#endif + +#if defined(L_fixunsdfsi) && LIBGCC2_HAS_DF_MODE +UWtype +__fixunsdfSI (DFtype a) +{ + if (a >= - (DFtype) Wtype_MIN) + return (Wtype) (a + Wtype_MIN) - Wtype_MIN; + return (Wtype) a; +} +#endif + +#if defined(L_fixunssfsi) && LIBGCC2_HAS_SF_MODE +UWtype +__fixunssfSI (SFtype a) +{ + if (a >= - (SFtype) Wtype_MIN) + return (Wtype) (a + Wtype_MIN) - Wtype_MIN; + return (Wtype) a; +} +#endif + +/* Integer power helper used from __builtin_powi for non-constant + exponents. */ + +#if (defined(L_powisf2) && LIBGCC2_HAS_SF_MODE) \ + || (defined(L_powidf2) && LIBGCC2_HAS_DF_MODE) \ + || (defined(L_powixf2) && LIBGCC2_HAS_XF_MODE) \ + || (defined(L_powitf2) && LIBGCC2_HAS_TF_MODE) +# if defined(L_powisf2) +# define TYPE SFtype +# define NAME __powisf2 +# elif defined(L_powidf2) +# define TYPE DFtype +# define NAME __powidf2 +# elif defined(L_powixf2) +# define TYPE XFtype +# define NAME __powixf2 +# elif defined(L_powitf2) +# define TYPE TFtype +# define NAME __powitf2 +# endif + +#undef int +#undef unsigned +TYPE +NAME (TYPE x, int m) +{ + unsigned int n = m < 0 ? -m : m; + TYPE y = n % 2 ? x : 1; + while (n >>= 1) + { + x = x * x; + if (n % 2) + y = y * x; + } + return m < 0 ? 1/y : y; +} + +#endif + +#if ((defined(L_mulsc3) || defined(L_divsc3)) && LIBGCC2_HAS_SF_MODE) \ + || ((defined(L_muldc3) || defined(L_divdc3)) && LIBGCC2_HAS_DF_MODE) \ + || ((defined(L_mulxc3) || defined(L_divxc3)) && LIBGCC2_HAS_XF_MODE) \ + || ((defined(L_multc3) || defined(L_divtc3)) && LIBGCC2_HAS_TF_MODE) + +#undef float +#undef double +#undef long + +#if defined(L_mulsc3) || defined(L_divsc3) +# define MTYPE SFtype +# define CTYPE SCtype +# define MODE sc +# define CEXT __LIBGCC_SF_FUNC_EXT__ +# define NOTRUNC __LIBGCC_SF_EXCESS_PRECISION__ +#elif defined(L_muldc3) || defined(L_divdc3) +# define MTYPE DFtype +# define CTYPE DCtype +# define MODE dc +# define CEXT __LIBGCC_DF_FUNC_EXT__ +# define NOTRUNC __LIBGCC_DF_EXCESS_PRECISION__ +#elif defined(L_mulxc3) || defined(L_divxc3) +# define MTYPE XFtype +# define CTYPE XCtype +# define MODE xc +# define CEXT __LIBGCC_XF_FUNC_EXT__ +# define NOTRUNC __LIBGCC_XF_EXCESS_PRECISION__ +#elif defined(L_multc3) || defined(L_divtc3) +# define MTYPE TFtype +# define CTYPE TCtype +# define MODE tc +# define CEXT __LIBGCC_TF_FUNC_EXT__ +# define NOTRUNC __LIBGCC_TF_EXCESS_PRECISION__ +#else +# error +#endif + +#define CONCAT3(A,B,C) _CONCAT3(A,B,C) +#define _CONCAT3(A,B,C) A##B##C + +#define CONCAT2(A,B) _CONCAT2(A,B) +#define _CONCAT2(A,B) A##B + +/* All of these would be present in a full C99 implementation of + and . Our problem is that only a few systems have such full + implementations. Further, libgcc_s.so isn't currently linked against + libm.so, and even for systems that do provide full C99, the extra overhead + of all programs using libgcc having to link against libm. So avoid it. */ + +#define isnan(x) __builtin_expect ((x) != (x), 0) +#define isfinite(x) __builtin_expect (!isnan((x) - (x)), 1) +#define isinf(x) __builtin_expect (!isnan(x) & !isfinite(x), 0) + +#define INFINITY CONCAT2(__builtin_huge_val, CEXT) () +#define I 1i + +/* Helpers to make the following code slightly less gross. */ +#define COPYSIGN CONCAT2(__builtin_copysign, CEXT) +#define FABS CONCAT2(__builtin_fabs, CEXT) + +/* Verify that MTYPE matches up with CEXT. */ +extern void *compile_type_assert[sizeof(INFINITY) == sizeof(MTYPE) ? 1 : -1]; + +/* Ensure that we've lost any extra precision. */ +#if NOTRUNC +# define TRUNC(x) +#else +# define TRUNC(x) __asm__ ("" : "=m"(x) : "m"(x)) +#endif + +#if defined(L_mulsc3) || defined(L_muldc3) \ + || defined(L_mulxc3) || defined(L_multc3) + +CTYPE +CONCAT3(__mul,MODE,3) (MTYPE a, MTYPE b, MTYPE c, MTYPE d) +{ + MTYPE ac, bd, ad, bc, x, y; + CTYPE res; + + ac = a * c; + bd = b * d; + ad = a * d; + bc = b * c; + + TRUNC (ac); + TRUNC (bd); + TRUNC (ad); + TRUNC (bc); + + x = ac - bd; + y = ad + bc; + + if (isnan (x) && isnan (y)) + { + /* Recover infinities that computed as NaN + iNaN. */ + _Bool recalc = 0; + if (isinf (a) || isinf (b)) + { + /* z is infinite. "Box" the infinity and change NaNs in + the other factor to 0. */ + a = COPYSIGN (isinf (a) ? 1 : 0, a); + b = COPYSIGN (isinf (b) ? 1 : 0, b); + if (isnan (c)) c = COPYSIGN (0, c); + if (isnan (d)) d = COPYSIGN (0, d); + recalc = 1; + } + if (isinf (c) || isinf (d)) + { + /* w is infinite. "Box" the infinity and change NaNs in + the other factor to 0. */ + c = COPYSIGN (isinf (c) ? 1 : 0, c); + d = COPYSIGN (isinf (d) ? 1 : 0, d); + if (isnan (a)) a = COPYSIGN (0, a); + if (isnan (b)) b = COPYSIGN (0, b); + recalc = 1; + } + if (!recalc + && (isinf (ac) || isinf (bd) + || isinf (ad) || isinf (bc))) + { + /* Recover infinities from overflow by changing NaNs to 0. */ + if (isnan (a)) a = COPYSIGN (0, a); + if (isnan (b)) b = COPYSIGN (0, b); + if (isnan (c)) c = COPYSIGN (0, c); + if (isnan (d)) d = COPYSIGN (0, d); + recalc = 1; + } + if (recalc) + { + x = INFINITY * (a * c - b * d); + y = INFINITY * (a * d + b * c); + } + } + + __real__ res = x; + __imag__ res = y; + return res; +} +#endif /* complex multiply */ + +#if defined(L_divsc3) || defined(L_divdc3) \ + || defined(L_divxc3) || defined(L_divtc3) + +CTYPE +CONCAT3(__div,MODE,3) (MTYPE a, MTYPE b, MTYPE c, MTYPE d) +{ + MTYPE denom, ratio, x, y; + CTYPE res; + + /* ??? We can get better behavior from logarithmic scaling instead of + the division. But that would mean starting to link libgcc against + libm. We could implement something akin to ldexp/frexp as gcc builtins + fairly easily... */ + if (FABS (c) < FABS (d)) + { + ratio = c / d; + denom = (c * ratio) + d; + x = ((a * ratio) + b) / denom; + y = ((b * ratio) - a) / denom; + } + else + { + ratio = d / c; + denom = (d * ratio) + c; + x = ((b * ratio) + a) / denom; + y = (b - (a * ratio)) / denom; + } + + /* Recover infinities and zeros that computed as NaN+iNaN; the only cases + are nonzero/zero, infinite/finite, and finite/infinite. */ + if (isnan (x) && isnan (y)) + { + if (c == 0.0 && d == 0.0 && (!isnan (a) || !isnan (b))) + { + x = COPYSIGN (INFINITY, c) * a; + y = COPYSIGN (INFINITY, c) * b; + } + else if ((isinf (a) || isinf (b)) && isfinite (c) && isfinite (d)) + { + a = COPYSIGN (isinf (a) ? 1 : 0, a); + b = COPYSIGN (isinf (b) ? 1 : 0, b); + x = INFINITY * (a * c + b * d); + y = INFINITY * (b * c - a * d); + } + else if ((isinf (c) || isinf (d)) && isfinite (a) && isfinite (b)) + { + c = COPYSIGN (isinf (c) ? 1 : 0, c); + d = COPYSIGN (isinf (d) ? 1 : 0, d); + x = 0.0 * (a * c + b * d); + y = 0.0 * (b * c - a * d); + } + } + + __real__ res = x; + __imag__ res = y; + return res; +} +#endif /* complex divide */ + +#endif /* all complex float routines */ + +/* From here on down, the routines use normal data types. */ + +#define SItype bogus_type +#define USItype bogus_type +#define DItype bogus_type +#define UDItype bogus_type +#define SFtype bogus_type +#define DFtype bogus_type +#undef Wtype +#undef UWtype +#undef HWtype +#undef UHWtype +#undef DWtype +#undef UDWtype + +#undef char +#undef short +#undef int +#undef long +#undef unsigned +#undef float +#undef double + +#ifdef L__gcc_bcmp + +/* Like bcmp except the sign is meaningful. + Result is negative if S1 is less than S2, + positive if S1 is greater, 0 if S1 and S2 are equal. */ + +int +__gcc_bcmp (const unsigned char *s1, const unsigned char *s2, size_t size) +{ + while (size > 0) + { + const unsigned char c1 = *s1++, c2 = *s2++; + if (c1 != c2) + return c1 - c2; + size--; + } + return 0; +} + +#endif + +/* __eprintf used to be used by GCC's private version of . + We no longer provide that header, but this routine remains in libgcc.a + for binary backward compatibility. Note that it is not included in + the shared version of libgcc. */ +#ifdef L_eprintf +#ifndef inhibit_libc + +#undef NULL /* Avoid errors if stdio.h and our stddef.h mismatch. */ +#include + +void +__eprintf (const char *string, const char *expression, + unsigned int line, const char *filename) +{ + fprintf (stderr, string, expression, line, filename); + fflush (stderr); + abort (); +} + +#endif +#endif + + +#ifdef L_clear_cache +/* Clear part of an instruction cache. */ + +void +__clear_cache (char *beg __attribute__((__unused__)), + char *end __attribute__((__unused__))) +{ +#ifdef CLEAR_INSN_CACHE + CLEAR_INSN_CACHE (beg, end); +#endif /* CLEAR_INSN_CACHE */ +} + +#endif /* L_clear_cache */ + +#ifdef L_trampoline + +/* Jump to a trampoline, loading the static chain address. */ + +#if defined(WINNT) && ! defined(__CYGWIN__) +#include +int getpagesize (void); +int mprotect (char *,int, int); + +int +getpagesize (void) +{ +#ifdef _ALPHA_ + return 8192; +#else + return 4096; +#endif +} + +int +mprotect (char *addr, int len, int prot) +{ + DWORD np, op; + + if (prot == 7) + np = 0x40; + else if (prot == 5) + np = 0x20; + else if (prot == 4) + np = 0x10; + else if (prot == 3) + np = 0x04; + else if (prot == 1) + np = 0x02; + else if (prot == 0) + np = 0x01; + else + return -1; + + if (VirtualProtect (addr, len, np, &op)) + return 0; + else + return -1; +} + +#endif /* WINNT && ! __CYGWIN__ */ + +#ifdef TRANSFER_FROM_TRAMPOLINE +TRANSFER_FROM_TRAMPOLINE +#endif +#endif /* L_trampoline */ + +#ifndef __CYGWIN__ +#ifdef L__main + +#include "gbl-ctors.h" + +/* Some systems use __main in a way incompatible with its use in gcc, in these + cases use the macros NAME__MAIN to give a quoted symbol and SYMBOL__MAIN to + give the same symbol without quotes for an alternative entry point. You + must define both, or neither. */ +#ifndef NAME__MAIN +#define NAME__MAIN "__main" +#define SYMBOL__MAIN __main +#endif + +#if defined (__LIBGCC_INIT_SECTION_ASM_OP__) \ + || defined (__LIBGCC_INIT_ARRAY_SECTION_ASM_OP__) +#undef HAS_INIT_SECTION +#define HAS_INIT_SECTION +#endif + +#if !defined (HAS_INIT_SECTION) || !defined (OBJECT_FORMAT_ELF) + +/* Some ELF crosses use crtstuff.c to provide __CTOR_LIST__, but use this + code to run constructors. In that case, we need to handle EH here, too. + But MINGW32 is special because it handles CRTSTUFF and EH on its own. */ + +#ifdef __MINGW32__ +#undef __LIBGCC_EH_FRAME_SECTION_NAME__ +#endif + +#ifdef __LIBGCC_EH_FRAME_SECTION_NAME__ +#include "unwind-dw2-fde.h" +extern unsigned char __EH_FRAME_BEGIN__[]; +#endif + +/* Run all the global destructors on exit from the program. */ + +void +__do_global_dtors (void) +{ +#ifdef DO_GLOBAL_DTORS_BODY + DO_GLOBAL_DTORS_BODY; +#else + static func_ptr *p = __DTOR_LIST__ + 1; + while (*p) + { + p++; + (*(p-1)) (); + } +#endif +#if defined (__LIBGCC_EH_FRAME_SECTION_NAME__) && !defined (HAS_INIT_SECTION) + { + static int completed = 0; + if (! completed) + { + completed = 1; + __deregister_frame_info (__EH_FRAME_BEGIN__); + } + } +#endif +} +#endif + +#ifndef HAS_INIT_SECTION +/* Run all the global constructors on entry to the program. */ + +void +__do_global_ctors (void) +{ +#ifdef __LIBGCC_EH_FRAME_SECTION_NAME__ + { + static struct object object; + __register_frame_info (__EH_FRAME_BEGIN__, &object); + } +#endif + DO_GLOBAL_CTORS_BODY; + atexit (__do_global_dtors); +} +#endif /* no HAS_INIT_SECTION */ + +#if !defined (HAS_INIT_SECTION) || defined (INVOKE__main) +/* Subroutine called automatically by `main'. + Compiling a global function named `main' + produces an automatic call to this function at the beginning. + + For many systems, this routine calls __do_global_ctors. + For systems which support a .init section we use the .init section + to run __do_global_ctors, so we need not do anything here. */ + +extern void SYMBOL__MAIN (void); +void +SYMBOL__MAIN (void) +{ + /* Support recursive calls to `main': run initializers just once. */ + static int initialized; + if (! initialized) + { + initialized = 1; + __do_global_ctors (); + } +} +#endif /* no HAS_INIT_SECTION or INVOKE__main */ + +#endif /* L__main */ +#endif /* __CYGWIN__ */ + +#ifdef L_ctors + +#include "gbl-ctors.h" + +/* Provide default definitions for the lists of constructors and + destructors, so that we don't get linker errors. These symbols are + intentionally bss symbols, so that gld and/or collect will provide + the right values. */ + +/* We declare the lists here with two elements each, + so that they are valid empty lists if no other definition is loaded. + + If we are using the old "set" extensions to have the gnu linker + collect ctors and dtors, then we __CTOR_LIST__ and __DTOR_LIST__ + must be in the bss/common section. + + Long term no port should use those extensions. But many still do. */ +#if !defined(__LIBGCC_INIT_SECTION_ASM_OP__) \ + && !defined(CTOR_LISTS_DEFINED_EXTERNALLY) +#if defined (TARGET_ASM_CONSTRUCTOR) || defined (USE_COLLECT2) +func_ptr __CTOR_LIST__[2] = {0, 0}; +func_ptr __DTOR_LIST__[2] = {0, 0}; +#else +func_ptr __CTOR_LIST__[2]; +func_ptr __DTOR_LIST__[2]; +#endif +#endif /* no __LIBGCC_INIT_SECTION_ASM_OP__ and not CTOR_LISTS_DEFINED_EXTERNALLY */ +#endif /* L_ctors */ +#endif /* LIBGCC2_UNITS_PER_WORD <= MIN_UNITS_PER_WORD */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcc2.h b/contrib/toolchain/gcc/5x/libgcc/libgcc2.h new file mode 100644 index 0000000000..98bb274258 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcc2.h @@ -0,0 +1,522 @@ +/* Header file for libgcc2.c. */ +/* Copyright (C) 2000-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_LIBGCC2_H +#define GCC_LIBGCC2_H + +#ifndef HIDE_EXPORTS +#pragma GCC visibility push(default) +#endif + +extern int __gcc_bcmp (const unsigned char *, const unsigned char *, size_t); +extern void __clear_cache (char *, char *); +extern void __eprintf (const char *, const char *, unsigned int, const char *) + __attribute__ ((__noreturn__)); + +#ifdef __LIBGCC_HAS_SF_MODE__ +#define LIBGCC2_HAS_SF_MODE 1 +#else +#define LIBGCC2_HAS_SF_MODE 0 +#endif + +#ifdef __LIBGCC_HAS_DF_MODE__ +#define LIBGCC2_HAS_DF_MODE 1 +#else +#define LIBGCC2_HAS_DF_MODE 0 +#endif + +#ifdef __LIBGCC_HAS_XF_MODE__ +#define LIBGCC2_HAS_XF_MODE 1 +#else +#define LIBGCC2_HAS_XF_MODE 0 +#endif + +#ifdef __LIBGCC_HAS_TF_MODE__ +#define LIBGCC2_HAS_TF_MODE 1 +#else +#define LIBGCC2_HAS_TF_MODE 0 +#endif + +#ifndef __LIBGCC_SF_MANT_DIG__ +#if LIBGCC2_HAS_SF_MODE +#error __LIBGCC_SF_MANT_DIG__ not defined +#else +#define __LIBGCC_SF_MANT_DIG__ 0 +#endif +#endif + +#ifndef __LIBGCC_DF_MANT_DIG__ +#if LIBGCC2_HAS_DF_MODE +#error __LIBGCC_DF_MANT_DIG__ not defined +#else +#define __LIBGCC_DF_MANT_DIG__ 0 +#endif +#endif + +#ifndef __LIBGCC_XF_MANT_DIG__ +#if LIBGCC2_HAS_XF_MODE +#error __LIBGCC_XF_MANT_DIG__ not defined +#else +#define __LIBGCC_XF_MANT_DIG__ 0 +#endif +#endif + +#ifndef __LIBGCC_TF_MANT_DIG__ +#if LIBGCC2_HAS_TF_MODE +#error __LIBGCC_TF_MANT_DIG__ not defined +#else +#define __LIBGCC_TF_MANT_DIG__ 0 +#endif +#endif + +/* FIXME: This #ifdef probably should be removed, ie. enable the test + for mips too. */ +/* Don't use IBM Extended Double TFmode for TI->SF calculations. + The conversion from long double to float suffers from double + rounding, because we convert via double. In other cases, going + through the software fp routines is much slower than the fallback. */ +#ifdef __powerpc__ +#define AVOID_FP_TYPE_CONVERSION(SIZE) (SIZE == 106) +#elif defined(WIDEST_HARDWARE_FP_SIZE) +#define AVOID_FP_TYPE_CONVERSION(SIZE) (SIZE > WIDEST_HARDWARE_FP_SIZE) +#else +#define AVOID_FP_TYPE_CONVERSION(SIZE) 0 +#endif + +/* In the first part of this file, we are interfacing to calls generated + by the compiler itself. These calls pass values into these routines + which have very specific modes (rather than very specific types), and + these compiler-generated calls also expect any return values to have + very specific modes (rather than very specific types). Thus, we need + to avoid using regular C language type names in this part of the file + because the sizes for those types can be configured to be anything. + Instead we use the following special type names. */ + +typedef int QItype __attribute__ ((mode (QI))); +typedef unsigned int UQItype __attribute__ ((mode (QI))); +typedef int HItype __attribute__ ((mode (HI))); +typedef unsigned int UHItype __attribute__ ((mode (HI))); +#if MIN_UNITS_PER_WORD > 1 +/* These typedefs are usually forbidden on dsp's with UNITS_PER_WORD 1. */ +typedef int SItype __attribute__ ((mode (SI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +#if __SIZEOF_LONG_LONG__ > 4 +/* These typedefs are usually forbidden on archs with UNITS_PER_WORD 2. */ +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); +#if MIN_UNITS_PER_WORD > 4 +/* These typedefs are usually forbidden on archs with UNITS_PER_WORD 4. */ +typedef int TItype __attribute__ ((mode (TI))); +typedef unsigned int UTItype __attribute__ ((mode (TI))); +#endif +#endif +#endif + +#if LIBGCC2_HAS_SF_MODE +typedef float SFtype __attribute__ ((mode (SF))); +typedef _Complex float SCtype __attribute__ ((mode (SC))); +#endif +#if LIBGCC2_HAS_DF_MODE +typedef float DFtype __attribute__ ((mode (DF))); +typedef _Complex float DCtype __attribute__ ((mode (DC))); +#endif +#if LIBGCC2_HAS_XF_MODE +typedef float XFtype __attribute__ ((mode (XF))); +typedef _Complex float XCtype __attribute__ ((mode (XC))); +#endif +#if LIBGCC2_HAS_TF_MODE +typedef float TFtype __attribute__ ((mode (TF))); +typedef _Complex float TCtype __attribute__ ((mode (TC))); +#endif + +typedef int cmp_return_type __attribute__((mode (__libgcc_cmp_return__))); +typedef int shift_count_type __attribute__((mode (__libgcc_shift_count__))); + +/* Make sure that we don't accidentally use any normal C language built-in + type names in the first part of this file. Instead we want to use *only* + the type names defined above. The following macro definitions insure + that if we *do* accidentally use some normal C language built-in type name, + we will get a syntax error. */ + +#define char bogus_type +#define short bogus_type +#define int bogus_type +#define long bogus_type +#define unsigned bogus_type +#define float bogus_type +#define double bogus_type + +/* Versions prior to 3.4.4 were not taking into account the word size for + the 5 trapping arithmetic functions absv, addv, subv, mulv and negv. As + a consequence, the si and di variants were always and the only ones emitted. + To maintain backward compatibility, COMPAT_SIMODE_TRAPPING_ARITHMETIC is + defined on platforms where it makes sense to still have the si variants + emitted. As a bonus, their implementation is now correct. Note that the + same mechanism should have been implemented for the di variants, but it + turns out that no platform would define COMPAT_DIMODE_TRAPPING_ARITHMETIC + if it existed. */ + +#if LIBGCC2_UNITS_PER_WORD == 8 +#define W_TYPE_SIZE (8 * BITS_PER_UNIT) +#define Wtype DItype +#define UWtype UDItype +#define HWtype DItype +#define UHWtype UDItype +#define DWtype TItype +#define UDWtype UTItype +#ifdef LIBGCC2_GNU_PREFIX +#define __NW(a,b) __gnu_ ## a ## di ## b +#define __NDW(a,b) __gnu_ ## a ## ti ## b +#else +#define __NW(a,b) __ ## a ## di ## b +#define __NDW(a,b) __ ## a ## ti ## b +#endif +#define COMPAT_SIMODE_TRAPPING_ARITHMETIC +#elif LIBGCC2_UNITS_PER_WORD == 4 +#define W_TYPE_SIZE (4 * BITS_PER_UNIT) +#define Wtype SItype +#define UWtype USItype +#define HWtype SItype +#define UHWtype USItype +#define DWtype DItype +#define UDWtype UDItype +#ifdef LIBGCC2_GNU_PREFIX +#define __NW(a,b) __gnu_ ## a ## si ## b +#define __NDW(a,b) __gnu_ ## a ## di ## b +#else +#define __NW(a,b) __ ## a ## si ## b +#define __NDW(a,b) __ ## a ## di ## b +#endif +#elif LIBGCC2_UNITS_PER_WORD == 2 +#define W_TYPE_SIZE (2 * BITS_PER_UNIT) +#define Wtype HItype +#define UWtype UHItype +#define HWtype HItype +#define UHWtype UHItype +#define DWtype SItype +#define UDWtype USItype +#ifdef LIBGCC2_GNU_PREFIX +#define __NW(a,b) __gnu_ ## a ## hi ## b +#define __NDW(a,b) __gnu_ ## a ## si ## b +#else +#define __NW(a,b) __ ## a ## hi ## b +#define __NDW(a,b) __ ## a ## si ## b +#endif +#else +#define W_TYPE_SIZE BITS_PER_UNIT +#define Wtype QItype +#define UWtype UQItype +#define HWtype QItype +#define UHWtype UQItype +#define DWtype HItype +#define UDWtype UHItype +#ifdef LIBGCC2_GNU_PREFIX +#define __NW(a,b) __gnu_ ## a ## qi ## b +#define __NDW(a,b) __gnu_ ## a ## hi ## b +#else +#define __NW(a,b) __ ## a ## qi ## b +#define __NDW(a,b) __ ## a ## hi ## b +#endif +#endif + +#ifdef LIBGCC2_GNU_PREFIX +#define __N(a) __gnu_ ## a +#else +#define __N(a) __ ## a +#endif +#define Wtype_MAX ((Wtype)(((UWtype)1 << (W_TYPE_SIZE - 1)) - 1)) +#define Wtype_MIN (- Wtype_MAX - 1) + +#if W_TYPE_SIZE == 8 +# define Wtype_MAXp1_F 0x1p8f +#elif W_TYPE_SIZE == 16 +# define Wtype_MAXp1_F 0x1p16f +#elif W_TYPE_SIZE == 32 +# define Wtype_MAXp1_F 0x1p32f +#elif W_TYPE_SIZE == 64 +# define Wtype_MAXp1_F 0x1p64f +#else +# error "expand the table" +#endif + +#define __muldi3 __NDW(mul,3) +#define __divdi3 __NDW(div,3) +#define __udivdi3 __NDW(udiv,3) +#define __moddi3 __NDW(mod,3) +#define __umoddi3 __NDW(umod,3) +#define __negdi2 __NDW(neg,2) +#define __lshrdi3 __NDW(lshr,3) +#define __ashldi3 __NDW(ashl,3) +#define __ashrdi3 __NDW(ashr,3) +#define __cmpdi2 __NDW(cmp,2) +#define __ucmpdi2 __NDW(ucmp,2) +#define __udivmoddi4 __NDW(udivmod,4) +#define __fixunstfDI __NDW(fixunstf,) +#define __fixtfdi __NDW(fixtf,) +#define __fixunsxfDI __NDW(fixunsxf,) +#define __fixxfdi __NDW(fixxf,) +#define __fixunsdfDI __NDW(fixunsdf,) +#define __fixdfdi __NDW(fixdf,) +#define __fixunssfDI __NDW(fixunssf,) +#define __fixsfdi __NDW(fixsf,) +#define __floatdixf __NDW(float,xf) +#define __floatditf __NDW(float,tf) +#define __floatdidf __NDW(float,df) +#define __floatdisf __NDW(float,sf) +#define __floatundixf __NDW(floatun,xf) +#define __floatunditf __NDW(floatun,tf) +#define __floatundidf __NDW(floatun,df) +#define __floatundisf __NDW(floatun,sf) +#define __fixunsxfSI __NW(fixunsxf,) +#define __fixunstfSI __NW(fixunstf,) +#define __fixunsdfSI __NW(fixunsdf,) +#define __fixunssfSI __NW(fixunssf,) + +#define __absvSI2 __NW(absv,2) +#define __addvSI3 __NW(addv,3) +#define __subvSI3 __NW(subv,3) +#define __mulvSI3 __NW(mulv,3) +#define __negvSI2 __NW(negv,2) +#define __absvDI2 __NDW(absv,2) +#define __addvDI3 __NDW(addv,3) +#define __subvDI3 __NDW(subv,3) +#define __mulvDI3 __NDW(mulv,3) +#define __negvDI2 __NDW(negv,2) + +#define __ffsSI2 __NW(ffs,2) +#define __clzSI2 __NW(clz,2) +#define __ctzSI2 __NW(ctz,2) +#define __clrsbSI2 __NW(clrsb,2) +#define __popcountSI2 __NW(popcount,2) +#define __paritySI2 __NW(parity,2) +#define __ffsDI2 __NDW(ffs,2) +#define __clzDI2 __NDW(clz,2) +#define __ctzDI2 __NDW(ctz,2) +#define __clrsbDI2 __NDW(clrsb,2) +#define __popcountDI2 __NDW(popcount,2) +#define __parityDI2 __NDW(parity,2) + +#define __clz_tab __N(clz_tab) +#define __bswapsi2 __N(bswapsi2) +#define __bswapdi2 __N(bswapdi2) +#define __udiv_w_sdiv __N(udiv_w_sdiv) +#define __clear_cache __N(clear_cache) +#define __enable_execute_stack __N(enable_execute_stack) + +#ifndef __powisf2 +#define __powisf2 __N(powisf2) +#endif +#ifndef __powidf2 +#define __powidf2 __N(powidf2) +#endif +#ifndef __powitf2 +#define __powitf2 __N(powitf2) +#endif +#ifndef __powixf2 +#define __powixf2 __N(powixf2) +#endif +#ifndef __mulsc3 +#define __mulsc3 __N(mulsc3) +#endif +#ifndef __muldc3 +#define __muldc3 __N(muldc3) +#endif +#ifndef __mulxc3 +#define __mulxc3 __N(mulxc3) +#endif +#ifndef __multc3 +#define __multc3 __N(multc3) +#endif +#ifndef __divsc3 +#define __divsc3 __N(divsc3) +#endif +#ifndef __divdc3 +#define __divdc3 __N(divdc3) +#endif +#ifndef __divxc3 +#define __divxc3 __N(divxc3) +#endif +#ifndef __divtc3 +#define __divtc3 __N(divtc3) +#endif + +extern DWtype __muldi3 (DWtype, DWtype); +extern DWtype __divdi3 (DWtype, DWtype); +extern UDWtype __udivdi3 (UDWtype, UDWtype); +extern UDWtype __umoddi3 (UDWtype, UDWtype); +extern DWtype __moddi3 (DWtype, DWtype); + +/* __udivmoddi4 is static inline when building other libgcc2 portions. */ +#if (!defined (L_udivdi3) && !defined (L_divdi3) && \ + !defined (L_umoddi3) && !defined (L_moddi3)) +extern UDWtype __udivmoddi4 (UDWtype, UDWtype, UDWtype *); +#endif + +/* __negdi2 is static inline when building other libgcc2 portions. */ +#if !defined(L_divdi3) && !defined(L_moddi3) +extern DWtype __negdi2 (DWtype); +#endif + +extern DWtype __lshrdi3 (DWtype, shift_count_type); +extern DWtype __ashldi3 (DWtype, shift_count_type); +extern DWtype __ashrdi3 (DWtype, shift_count_type); + +/* __udiv_w_sdiv is static inline when building other libgcc2 portions. */ +#if (!defined(L_udivdi3) && !defined(L_divdi3) && \ + !defined(L_umoddi3) && !defined(L_moddi3)) +extern UWtype __udiv_w_sdiv (UWtype *, UWtype, UWtype, UWtype); +#endif + +extern cmp_return_type __cmpdi2 (DWtype, DWtype); +extern cmp_return_type __ucmpdi2 (DWtype, DWtype); + +#if MIN_UNITS_PER_WORD > 1 +extern SItype __bswapsi2 (SItype); +#endif +#if __SIZEOF_LONG_LONG__ > 4 +extern DItype __bswapdi2 (DItype); +#endif + +extern Wtype __absvSI2 (Wtype); +extern Wtype __addvSI3 (Wtype, Wtype); +extern Wtype __subvSI3 (Wtype, Wtype); +extern Wtype __mulvSI3 (Wtype, Wtype); +extern Wtype __negvSI2 (Wtype); +extern DWtype __absvDI2 (DWtype); +extern DWtype __addvDI3 (DWtype, DWtype); +extern DWtype __subvDI3 (DWtype, DWtype); +extern DWtype __mulvDI3 (DWtype, DWtype); +extern DWtype __negvDI2 (DWtype); + +#ifdef COMPAT_SIMODE_TRAPPING_ARITHMETIC +#define __absvsi2 __N(absvsi2) +#define __negvsi2 __N(negvsi2) +#define __addvsi3 __N(addvsi3) +#define __subvsi3 __N(subvsi3) +#define __mulvsi3 __N(mulvsi3) + +extern SItype __absvsi2 (SItype); +extern SItype __addvsi3 (SItype, SItype); +extern SItype __subvsi3 (SItype, SItype); +extern SItype __mulvsi3 (SItype, SItype); +extern SItype __negvsi2 (SItype); +#endif /* COMPAT_SIMODE_TRAPPING_ARITHMETIC */ + +#undef int +#if LIBGCC2_HAS_SF_MODE +extern DWtype __fixsfdi (SFtype); +extern SFtype __floatdisf (DWtype); +extern SFtype __floatundisf (UDWtype); +extern UWtype __fixunssfSI (SFtype); +extern UDWtype __fixunssfDI (SFtype); +extern SFtype __powisf2 (SFtype, int); +extern SCtype __divsc3 (SFtype, SFtype, SFtype, SFtype); +extern SCtype __mulsc3 (SFtype, SFtype, SFtype, SFtype); +#endif +#if LIBGCC2_HAS_DF_MODE +extern DWtype __fixdfdi (DFtype); +extern DFtype __floatdidf (DWtype); +extern DFtype __floatundidf (UDWtype); +extern UWtype __fixunsdfSI (DFtype); +extern UDWtype __fixunsdfDI (DFtype); +extern DFtype __powidf2 (DFtype, int); +extern DCtype __divdc3 (DFtype, DFtype, DFtype, DFtype); +extern DCtype __muldc3 (DFtype, DFtype, DFtype, DFtype); +#endif + +#if LIBGCC2_HAS_XF_MODE +extern DWtype __fixxfdi (XFtype); +extern UDWtype __fixunsxfDI (XFtype); +extern XFtype __floatdixf (DWtype); +extern XFtype __floatundixf (UDWtype); +extern UWtype __fixunsxfSI (XFtype); +extern XFtype __powixf2 (XFtype, int); +extern XCtype __divxc3 (XFtype, XFtype, XFtype, XFtype); +extern XCtype __mulxc3 (XFtype, XFtype, XFtype, XFtype); +#endif + +#if LIBGCC2_HAS_TF_MODE +extern UDWtype __fixunstfDI (TFtype); +extern DWtype __fixtfdi (TFtype); +extern TFtype __floatditf (DWtype); +extern TFtype __floatunditf (UDWtype); +extern TFtype __powitf2 (TFtype, int); +extern TCtype __divtc3 (TFtype, TFtype, TFtype, TFtype); +extern TCtype __multc3 (TFtype, TFtype, TFtype, TFtype); +#endif +#define int bogus_type + +/* DWstructs are pairs of Wtype values in the order determined by + __BYTE_ORDER__. */ + +#if __BYTE_ORDER__ != __ORDER_LITTLE_ENDIAN__ + struct DWstruct {Wtype high, low;}; +#else + struct DWstruct {Wtype low, high;}; +#endif + +/* We need this union to unpack/pack DImode values, since we don't have + any arithmetic yet. Incoming DImode parameters are stored into the + `ll' field, and the unpacked result is read from the struct `s'. */ + +typedef union +{ + struct DWstruct s; + DWtype ll; +} DWunion; + +/* Defined for L_popcount_tab. Exported here because some targets may + want to use it for their own versions of the __popcount builtins. */ +extern const UQItype __popcount_tab[256]; + +/* Defined for L_clz. Exported here because some targets may want to use + it for their own versions of the __clz builtins. It contains the bit + position of the first set bit for the numbers 0 - 255. This avoids the + need for a separate table for the __ctz builtins. */ +extern const UQItype __clz_tab[256]; + +#include "longlong.h" + +#undef int +extern int __clzDI2 (UDWtype); +extern int __clzSI2 (UWtype); +extern int __ctzSI2 (UWtype); +extern int __ctzDI2 (UDWtype); +extern int __clrsbSI2 (Wtype); +extern int __clrsbDI2 (DWtype); +extern int __ffsSI2 (UWtype); +extern int __ffsDI2 (DWtype); +extern int __popcountSI2 (UWtype); +extern int __popcountDI2 (UDWtype); +extern int __paritySI2 (UWtype); +extern int __parityDI2 (UDWtype); +#define int bogus_type + +extern void __enable_execute_stack (void *); + +#ifndef HIDE_EXPORTS +#pragma GCC visibility pop +#endif + +#endif /* ! GCC_LIBGCC2_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcc_tm.h b/contrib/toolchain/gcc/5x/libgcc/libgcc_tm.h new file mode 100644 index 0000000000..2b491b86ea --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcc_tm.h @@ -0,0 +1,4 @@ +#ifndef LIBGCC_TM_H +#define LIBGCC_TM_H +/* Automatically generated by mkheader.sh. */ +#endif /* LIBGCC_TM_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov-driver-system.c b/contrib/toolchain/gcc/5x/libgcc/libgcov-driver-system.c new file mode 100644 index 0000000000..94f198dcef --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov-driver-system.c @@ -0,0 +1,193 @@ +/* Routines required for instrumenting a program. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1989-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* A utility function for outputing errors. */ + +static int __attribute__((format(printf, 1, 2))) +gcov_error (const char *fmt, ...) +{ + int ret; + va_list argp; + va_start (argp, fmt); + ret = vfprintf (stderr, fmt, argp); + va_end (argp); + return ret; +} + +/* Make sure path component of the given FILENAME exists, create + missing directories. FILENAME must be writable. + Returns zero on success, or -1 if an error occurred. */ + +static int +create_file_directory (char *filename) +{ +#if !defined(TARGET_POSIX_IO) && !defined(_WIN32) + (void) filename; + return -1; +#else + char *s; + + s = filename; + + if (HAS_DRIVE_SPEC(s)) + s += 2; + if (IS_DIR_SEPARATOR(*s)) + ++s; + for (; *s != '\0'; s++) + if (IS_DIR_SEPARATOR(*s)) + { + char sep = *s; + *s = '\0'; + + /* Try to make directory if it doesn't already exist. */ + if (access (filename, F_OK) == -1 +#ifdef TARGET_POSIX_IO + && mkdir (filename, 0755) == -1 +#else +#ifdef mkdir +#undef mkdir +#endif + && mkdir (filename) == -1 +#endif + /* The directory might have been made by another process. */ + && errno != EEXIST) + { + gcov_error ("profiling:%s:Cannot create directory\n", filename); + *s = sep; + return -1; + }; + + *s = sep; + }; + return 0; +#endif +} + +static void +allocate_filename_struct (struct gcov_filename *gf) +{ + const char *gcov_prefix; + size_t prefix_length; + int strip = 0; + + { + /* Check if the level of dirs to strip off specified. */ + char *tmp = getenv("GCOV_PREFIX_STRIP"); + if (tmp) + { + strip = atoi (tmp); + /* Do not consider negative values. */ + if (strip < 0) + strip = 0; + } + } + gf->strip = strip; + + /* Get file name relocation prefix. Non-absolute values are ignored. */ + gcov_prefix = getenv("GCOV_PREFIX"); + prefix_length = gcov_prefix ? strlen (gcov_prefix) : 0; + + /* Remove an unnecessary trailing '/' */ + if (prefix_length && IS_DIR_SEPARATOR (gcov_prefix[prefix_length - 1])) + prefix_length--; + + /* If no prefix was specified and a prefix stip, then we assume + relative. */ + if (!prefix_length && gf->strip) + { + gcov_prefix = "."; + prefix_length = 1; + } + gf->prefix = prefix_length; + + /* Allocate and initialize the filename scratch space. */ + gf->filename = (char *) xmalloc (gf->max_length + prefix_length + 2); + if (prefix_length) + memcpy (gf->filename, gcov_prefix, prefix_length); +} + +/* Open a gcda file specified by GI_FILENAME. + Return -1 on error. Return 0 on success. */ + +static int +gcov_exit_open_gcda_file (struct gcov_info *gi_ptr, + struct gcov_filename *gf) +{ + const char *fname = gi_ptr->filename; + char *dst = gf->filename + gf->prefix; + + fname = gi_ptr->filename; + + /* Build relocated filename, stripping off leading + directories from the initial filename if requested. */ + if (gf->strip > 0) + { + const char *probe = fname; + int level; + + /* Remove a leading separator, without counting it. */ + if (IS_DIR_SEPARATOR (*probe)) + probe++; + + /* Skip selected directory levels. If we fall off the end, we + keep the final part. */ + for (level = gf->strip; *probe && level; probe++) + if (IS_DIR_SEPARATOR (*probe)) + { + fname = probe; + level--; + } + } + + /* Update complete filename with stripped original. */ + if (gf->prefix) + { + /* Avoid to add multiple drive letters into combined path. */ + if (HAS_DRIVE_SPEC(fname)) + fname += 2; + + if (!IS_DIR_SEPARATOR (*fname)) + *dst++ = '/'; + } + strcpy (dst, fname); + + if (!gcov_open (gf->filename)) + { + /* Open failed likely due to missed directory. + Create directory and retry to open file. */ + if (create_file_directory (gf->filename)) + { + fprintf (stderr, "profiling:%s:Skip\n", gf->filename); + return -1; + } + if (!gcov_open (gf->filename)) + { + fprintf (stderr, "profiling:%s:Cannot open\n", gf->filename); + return -1; + } + } + + return 0; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov-driver.c b/contrib/toolchain/gcc/5x/libgcc/libgcov-driver.c new file mode 100644 index 0000000000..221ac0c00d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov-driver.c @@ -0,0 +1,912 @@ +/* Routines required for instrumenting a program. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1989-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "libgcov.h" + +#if defined(inhibit_libc) +/* If libc and its header files are not available, provide dummy functions. */ + +#if defined(L_gcov) +void __gcov_init (struct gcov_info *p __attribute__ ((unused))) {} +#endif + +#else /* inhibit_libc */ + +#include +#if GCOV_LOCKED +#include +#include +#include +#endif + +#ifdef L_gcov + +/* A utility function for outputing errors. */ +static int gcov_error (const char *, ...); + +#include "gcov-io.c" + +struct gcov_fn_buffer +{ + struct gcov_fn_buffer *next; + unsigned fn_ix; + struct gcov_fn_info info; + /* note gcov_fn_info ends in a trailing array. */ +}; + +struct gcov_summary_buffer +{ + struct gcov_summary_buffer *next; + struct gcov_summary summary; +}; + +/* A struct that bundles all the related information about the + gcda filename. */ + +struct gcov_filename +{ + char *filename; /* filename buffer */ + size_t max_length; /* maximum filename length */ + int strip; /* leading chars to strip from filename */ + size_t prefix; /* chars to prepend to filename */ +}; + +static struct gcov_fn_buffer * +free_fn_data (const struct gcov_info *gi_ptr, struct gcov_fn_buffer *buffer, + unsigned limit) +{ + struct gcov_fn_buffer *next; + unsigned ix, n_ctr = 0; + + if (!buffer) + return 0; + next = buffer->next; + + for (ix = 0; ix != limit; ix++) + if (gi_ptr->merge[ix]) + free (buffer->info.ctrs[n_ctr++].values); + free (buffer); + return next; +} + +static struct gcov_fn_buffer ** +buffer_fn_data (const char *filename, const struct gcov_info *gi_ptr, + struct gcov_fn_buffer **end_ptr, unsigned fn_ix) +{ + unsigned n_ctrs = 0, ix = 0; + struct gcov_fn_buffer *fn_buffer; + unsigned len; + + for (ix = GCOV_COUNTERS; ix--;) + if (gi_ptr->merge[ix]) + n_ctrs++; + + len = sizeof (*fn_buffer) + sizeof (fn_buffer->info.ctrs[0]) * n_ctrs; + fn_buffer = (struct gcov_fn_buffer *) xmalloc (len); + + if (!fn_buffer) + goto fail; + + fn_buffer->next = 0; + fn_buffer->fn_ix = fn_ix; + fn_buffer->info.ident = gcov_read_unsigned (); + fn_buffer->info.lineno_checksum = gcov_read_unsigned (); + fn_buffer->info.cfg_checksum = gcov_read_unsigned (); + + for (n_ctrs = ix = 0; ix != GCOV_COUNTERS; ix++) + { + gcov_unsigned_t length; + gcov_type *values; + + if (!gi_ptr->merge[ix]) + continue; + + if (gcov_read_unsigned () != GCOV_TAG_FOR_COUNTER (ix)) + { + len = 0; + goto fail; + } + + length = GCOV_TAG_COUNTER_NUM (gcov_read_unsigned ()); + len = length * sizeof (gcov_type); + values = (gcov_type *) xmalloc (len); + if (!values) + goto fail; + + fn_buffer->info.ctrs[n_ctrs].num = length; + fn_buffer->info.ctrs[n_ctrs].values = values; + + while (length--) + *values++ = gcov_read_counter (); + n_ctrs++; + } + + *end_ptr = fn_buffer; + return &fn_buffer->next; + +fail: + gcov_error ("profiling:%s:Function %u %s %u \n", filename, fn_ix, + len ? "cannot allocate" : "counter mismatch", len ? len : ix); + + return (struct gcov_fn_buffer **)free_fn_data (gi_ptr, fn_buffer, ix); +} + +/* Add an unsigned value to the current crc */ + +static gcov_unsigned_t +crc32_unsigned (gcov_unsigned_t crc32, gcov_unsigned_t value) +{ + unsigned ix; + + for (ix = 32; ix--; value <<= 1) + { + unsigned feedback; + + feedback = (value ^ crc32) & 0x80000000 ? 0x04c11db7 : 0; + crc32 <<= 1; + crc32 ^= feedback; + } + + return crc32; +} + +/* Check if VERSION of the info block PTR matches libgcov one. + Return 1 on success, or zero in case of versions mismatch. + If FILENAME is not NULL, its value used for reporting purposes + instead of value from the info block. */ + +static int +gcov_version (struct gcov_info *ptr, gcov_unsigned_t version, + const char *filename) +{ + if (version != GCOV_VERSION) + { + char v[4], e[4]; + + GCOV_UNSIGNED2STRING (v, version); + GCOV_UNSIGNED2STRING (e, GCOV_VERSION); + + gcov_error ("profiling:%s:Version mismatch - expected %.4s got %.4s\n", + filename? filename : ptr->filename, e, v); + return 0; + } + return 1; +} + +/* Insert counter VALUE into HISTOGRAM. */ + +static void +gcov_histogram_insert(gcov_bucket_type *histogram, gcov_type value) +{ + unsigned i; + + i = gcov_histo_index(value); + histogram[i].num_counters++; + histogram[i].cum_value += value; + if (value < histogram[i].min_value) + histogram[i].min_value = value; +} + +/* Computes a histogram of the arc counters to place in the summary SUM. */ + +static void +gcov_compute_histogram (struct gcov_info *list, struct gcov_summary *sum) +{ + struct gcov_info *gi_ptr; + const struct gcov_fn_info *gfi_ptr; + const struct gcov_ctr_info *ci_ptr; + struct gcov_ctr_summary *cs_ptr; + unsigned t_ix, f_ix, ctr_info_ix, ix; + int h_ix; + + /* This currently only applies to arc counters. */ + t_ix = GCOV_COUNTER_ARCS; + + /* First check if there are any counts recorded for this counter. */ + cs_ptr = &(sum->ctrs[t_ix]); + if (!cs_ptr->num) + return; + + for (h_ix = 0; h_ix < GCOV_HISTOGRAM_SIZE; h_ix++) + { + cs_ptr->histogram[h_ix].num_counters = 0; + cs_ptr->histogram[h_ix].min_value = cs_ptr->run_max; + cs_ptr->histogram[h_ix].cum_value = 0; + } + + /* Walk through all the per-object structures and record each of + the count values in histogram. */ + for (gi_ptr = list; gi_ptr; gi_ptr = gi_ptr->next) + { + if (!gi_ptr->merge[t_ix]) + continue; + + /* Find the appropriate index into the gcov_ctr_info array + for the counter we are currently working on based on the + existence of the merge function pointer for this object. */ + for (ix = 0, ctr_info_ix = 0; ix < t_ix; ix++) + { + if (gi_ptr->merge[ix]) + ctr_info_ix++; + } + for (f_ix = 0; f_ix != gi_ptr->n_functions; f_ix++) + { + gfi_ptr = gi_ptr->functions[f_ix]; + + if (!gfi_ptr || gfi_ptr->key != gi_ptr) + continue; + + ci_ptr = &gfi_ptr->ctrs[ctr_info_ix]; + for (ix = 0; ix < ci_ptr->num; ix++) + gcov_histogram_insert (cs_ptr->histogram, ci_ptr->values[ix]); + } + } +} + +/* buffer for the fn_data from another program. */ +static struct gcov_fn_buffer *fn_buffer; +/* buffer for summary from other programs to be written out. */ +static struct gcov_summary_buffer *sum_buffer; + +/* This function computes the program level summary and the histo-gram. + It computes and returns CRC32 and stored summary in THIS_PRG. + Also determines the longest filename length of the info files. */ + +#if !IN_GCOV_TOOL +static +#endif +gcov_unsigned_t +compute_summary (struct gcov_info *list, struct gcov_summary *this_prg, + size_t *max_length) +{ + struct gcov_info *gi_ptr; + const struct gcov_fn_info *gfi_ptr; + struct gcov_ctr_summary *cs_ptr; + const struct gcov_ctr_info *ci_ptr; + int f_ix; + unsigned t_ix; + gcov_unsigned_t c_num; + gcov_unsigned_t crc32 = 0; + + /* Find the totals for this execution. */ + memset (this_prg, 0, sizeof (*this_prg)); + *max_length = 0; + for (gi_ptr = list; gi_ptr; gi_ptr = gi_ptr->next) + { + size_t len = strlen (gi_ptr->filename); + if (len > *max_length) + *max_length = len; + + crc32 = crc32_unsigned (crc32, gi_ptr->stamp); + crc32 = crc32_unsigned (crc32, gi_ptr->n_functions); + + for (f_ix = 0; (unsigned)f_ix != gi_ptr->n_functions; f_ix++) + { + gfi_ptr = gi_ptr->functions[f_ix]; + + if (gfi_ptr && gfi_ptr->key != gi_ptr) + gfi_ptr = 0; + + crc32 = crc32_unsigned (crc32, gfi_ptr ? gfi_ptr->cfg_checksum : 0); + crc32 = crc32_unsigned (crc32, + gfi_ptr ? gfi_ptr->lineno_checksum : 0); + if (!gfi_ptr) + continue; + + ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix != GCOV_COUNTERS_SUMMABLE; t_ix++) + { + if (!gi_ptr->merge[t_ix]) + continue; + + cs_ptr = &(this_prg->ctrs[t_ix]); + cs_ptr->num += ci_ptr->num; + crc32 = crc32_unsigned (crc32, ci_ptr->num); + + for (c_num = 0; c_num < ci_ptr->num; c_num++) + { + cs_ptr->sum_all += ci_ptr->values[c_num]; + if (cs_ptr->run_max < ci_ptr->values[c_num]) + cs_ptr->run_max = ci_ptr->values[c_num]; + } + ci_ptr++; + } + } + } + gcov_compute_histogram (list, this_prg); + return crc32; +} + +/* Including system dependent components. */ +#include "libgcov-driver-system.c" + +/* This function merges counters in GI_PTR to an existing gcda file. + Return 0 on success. + Return -1 on error. In this case, caller will goto read_fatal. */ + +static int +merge_one_data (const char *filename, + struct gcov_info *gi_ptr, + struct gcov_summary *prg_p, + struct gcov_summary *this_prg, + gcov_position_t *summary_pos_p, + gcov_position_t *eof_pos_p, + gcov_unsigned_t crc32) +{ + gcov_unsigned_t tag, length; + unsigned t_ix; + int f_ix; + int error = 0; + struct gcov_fn_buffer **fn_tail = &fn_buffer; + struct gcov_summary_buffer **sum_tail = &sum_buffer; + + length = gcov_read_unsigned (); + if (!gcov_version (gi_ptr, length, filename)) + return -1; + + length = gcov_read_unsigned (); + if (length != gi_ptr->stamp) + /* Read from a different compilation. Overwrite the file. */ + return 0; + + /* Look for program summary. */ + for (f_ix = 0;;) + { + struct gcov_summary tmp; + + *eof_pos_p = gcov_position (); + tag = gcov_read_unsigned (); + if (tag != GCOV_TAG_PROGRAM_SUMMARY) + break; + + f_ix--; + length = gcov_read_unsigned (); + gcov_read_summary (&tmp); + if ((error = gcov_is_error ())) + goto read_error; + if (*summary_pos_p) + { + /* Save all summaries after the one that will be + merged into below. These will need to be rewritten + as histogram merging may change the number of non-zero + histogram entries that will be emitted, and thus the + size of the merged summary. */ + (*sum_tail) = (struct gcov_summary_buffer *) + xmalloc (sizeof(struct gcov_summary_buffer)); + (*sum_tail)->summary = tmp; + (*sum_tail)->next = 0; + sum_tail = &((*sum_tail)->next); + goto next_summary; + } + if (tmp.checksum != crc32) + goto next_summary; + + for (t_ix = 0; t_ix != GCOV_COUNTERS_SUMMABLE; t_ix++) + if (tmp.ctrs[t_ix].num != this_prg->ctrs[t_ix].num) + goto next_summary; + *prg_p = tmp; + *summary_pos_p = *eof_pos_p; + + next_summary:; + } + + /* Merge execution counts for each function. */ + for (f_ix = 0; (unsigned)f_ix != gi_ptr->n_functions; + f_ix++, tag = gcov_read_unsigned ()) + { + const struct gcov_ctr_info *ci_ptr; + const struct gcov_fn_info *gfi_ptr = gi_ptr->functions[f_ix]; + + if (tag != GCOV_TAG_FUNCTION) + goto read_mismatch; + + length = gcov_read_unsigned (); + if (!length) + /* This function did not appear in the other program. + We have nothing to merge. */ + continue; + + if (length != GCOV_TAG_FUNCTION_LENGTH) + goto read_mismatch; + + if (!gfi_ptr || gfi_ptr->key != gi_ptr) + { + /* This function appears in the other program. We + need to buffer the information in order to write + it back out -- we'll be inserting data before + this point, so cannot simply keep the data in the + file. */ + fn_tail = buffer_fn_data (filename, gi_ptr, fn_tail, f_ix); + if (!fn_tail) + goto read_mismatch; + continue; + } + + length = gcov_read_unsigned (); + if (length != gfi_ptr->ident) + goto read_mismatch; + + length = gcov_read_unsigned (); + if (length != gfi_ptr->lineno_checksum) + goto read_mismatch; + + length = gcov_read_unsigned (); + if (length != gfi_ptr->cfg_checksum) + goto read_mismatch; + + ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix < GCOV_COUNTERS; t_ix++) + { + gcov_merge_fn merge = gi_ptr->merge[t_ix]; + + if (!merge) + continue; + + tag = gcov_read_unsigned (); + length = gcov_read_unsigned (); + if (tag != GCOV_TAG_FOR_COUNTER (t_ix) + || length != GCOV_TAG_COUNTER_LENGTH (ci_ptr->num)) + goto read_mismatch; + (*merge) (ci_ptr->values, ci_ptr->num); + ci_ptr++; + } + if ((error = gcov_is_error ())) + goto read_error; + } + + if (tag) + { + read_mismatch:; + gcov_error ("profiling:%s:Merge mismatch for %s %u\n", + filename, f_ix >= 0 ? "function" : "summary", + f_ix < 0 ? -1 - f_ix : f_ix); + return -1; + } + return 0; + +read_error: + gcov_error ("profiling:%s:%s merging\n", filename, + error < 0 ? "Overflow": "Error"); + return -1; +} + +/* Write counters in GI_PTR and the summary in PRG to a gcda file. In + the case of appending to an existing file, SUMMARY_POS will be non-zero. + We will write the file starting from SUMMAY_POS. */ + +static void +write_one_data (const struct gcov_info *gi_ptr, + const struct gcov_summary *prg_p, + const gcov_position_t eof_pos, + const gcov_position_t summary_pos) +{ + unsigned f_ix; + struct gcov_summary_buffer *next_sum_buffer; + + /* Write out the data. */ + if (!eof_pos) + { + gcov_write_tag_length (GCOV_DATA_MAGIC, GCOV_VERSION); + gcov_write_unsigned (gi_ptr->stamp); + } + + if (summary_pos) + gcov_seek (summary_pos); + + /* Generate whole program statistics. */ + gcov_write_summary (GCOV_TAG_PROGRAM_SUMMARY, prg_p); + + /* Rewrite all the summaries that were after the summary we merged + into. This is necessary as the merged summary may have a different + size due to the number of non-zero histogram entries changing after + merging. */ + + while (sum_buffer) + { + gcov_write_summary (GCOV_TAG_PROGRAM_SUMMARY, &sum_buffer->summary); + next_sum_buffer = sum_buffer->next; + free (sum_buffer); + sum_buffer = next_sum_buffer; + } + + /* Write execution counts for each function. */ + for (f_ix = 0; f_ix != gi_ptr->n_functions; f_ix++) + { + unsigned buffered = 0; + const struct gcov_fn_info *gfi_ptr; + const struct gcov_ctr_info *ci_ptr; + gcov_unsigned_t length; + unsigned t_ix; + + if (fn_buffer && fn_buffer->fn_ix == f_ix) + { + /* Buffered data from another program. */ + buffered = 1; + gfi_ptr = &fn_buffer->info; + length = GCOV_TAG_FUNCTION_LENGTH; + } + else + { + gfi_ptr = gi_ptr->functions[f_ix]; + if (gfi_ptr && gfi_ptr->key == gi_ptr) + length = GCOV_TAG_FUNCTION_LENGTH; + else + length = 0; + } + + gcov_write_tag_length (GCOV_TAG_FUNCTION, length); + if (!length) + continue; + + gcov_write_unsigned (gfi_ptr->ident); + gcov_write_unsigned (gfi_ptr->lineno_checksum); + gcov_write_unsigned (gfi_ptr->cfg_checksum); + + ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix < GCOV_COUNTERS; t_ix++) + { + gcov_unsigned_t n_counts; + gcov_type *c_ptr; + + if (!gi_ptr->merge[t_ix]) + continue; + + n_counts = ci_ptr->num; + gcov_write_tag_length (GCOV_TAG_FOR_COUNTER (t_ix), + GCOV_TAG_COUNTER_LENGTH (n_counts)); + c_ptr = ci_ptr->values; + while (n_counts--) + gcov_write_counter (*c_ptr++); + ci_ptr++; + } + if (buffered) + fn_buffer = free_fn_data (gi_ptr, fn_buffer, GCOV_COUNTERS); + } + + gcov_write_unsigned (0); +} + +/* Helper function for merging summary. + Return -1 on error. Return 0 on success. */ + +static int +merge_summary (const char *filename, int run_counted, + const struct gcov_info *gi_ptr, struct gcov_summary *prg, + struct gcov_summary *this_prg, gcov_unsigned_t crc32, + struct gcov_summary *all_prg __attribute__ ((unused))) +{ + struct gcov_ctr_summary *cs_prg, *cs_tprg; + unsigned t_ix; +#if !GCOV_LOCKED + /* summary for all instances of program. */ + struct gcov_ctr_summary *cs_all; +#endif + + /* Merge the summaries. */ + for (t_ix = 0; t_ix < GCOV_COUNTERS_SUMMABLE; t_ix++) + { + cs_prg = &(prg->ctrs[t_ix]); + cs_tprg = &(this_prg->ctrs[t_ix]); + + if (gi_ptr->merge[t_ix]) + { + int first = !cs_prg->runs; + + if (!run_counted) + cs_prg->runs++; + if (first) + cs_prg->num = cs_tprg->num; + cs_prg->sum_all += cs_tprg->sum_all; + if (cs_prg->run_max < cs_tprg->run_max) + cs_prg->run_max = cs_tprg->run_max; + cs_prg->sum_max += cs_tprg->run_max; + if (first) + memcpy (cs_prg->histogram, cs_tprg->histogram, + sizeof (gcov_bucket_type) * GCOV_HISTOGRAM_SIZE); + else + gcov_histogram_merge (cs_prg->histogram, cs_tprg->histogram); + } + else if (cs_prg->runs) + { + gcov_error ("profiling:%s:Merge mismatch for summary.\n", + filename); + return -1; + } +#if !GCOV_LOCKED + cs_all = &all_prg->ctrs[t_ix]; + if (!cs_all->runs && cs_prg->runs) + { + cs_all->num = cs_prg->num; + cs_all->runs = cs_prg->runs; + cs_all->sum_all = cs_prg->sum_all; + cs_all->run_max = cs_prg->run_max; + cs_all->sum_max = cs_prg->sum_max; + } + else if (!all_prg->checksum + /* Don't compare the histograms, which may have slight + variations depending on the order they were updated + due to the truncating integer divides used in the + merge. */ + && (cs_all->num != cs_prg->num + || cs_all->runs != cs_prg->runs + || cs_all->sum_all != cs_prg->sum_all + || cs_all->run_max != cs_prg->run_max + || cs_all->sum_max != cs_prg->sum_max)) + { + gcov_error ("profiling:%s:Data file mismatch - some " + "data files may have been concurrently " + "updated without locking support\n", filename); + all_prg->checksum = ~0u; + } +#endif + } + + prg->checksum = crc32; + + return 0; +} + + +/* Sort N entries in VALUE_ARRAY in descending order. + Each entry in VALUE_ARRAY has two values. The sorting + is based on the second value. */ + +GCOV_LINKAGE void +gcov_sort_n_vals (gcov_type *value_array, int n) +{ + int j, k; + + for (j = 2; j < n; j += 2) + { + gcov_type cur_ent[2]; + + cur_ent[0] = value_array[j]; + cur_ent[1] = value_array[j + 1]; + k = j - 2; + while (k >= 0 && value_array[k + 1] < cur_ent[1]) + { + value_array[k + 2] = value_array[k]; + value_array[k + 3] = value_array[k+1]; + k -= 2; + } + value_array[k + 2] = cur_ent[0]; + value_array[k + 3] = cur_ent[1]; + } +} + +/* Sort the profile counters for all indirect call sites. Counters + for each call site are allocated in array COUNTERS. */ + +static void +gcov_sort_icall_topn_counter (const struct gcov_ctr_info *counters) +{ + int i; + gcov_type *values; + int n = counters->num; + + gcc_assert (!(n % GCOV_ICALL_TOPN_NCOUNTS)); + values = counters->values; + + for (i = 0; i < n; i += GCOV_ICALL_TOPN_NCOUNTS) + { + gcov_type *value_array = &values[i + 1]; + gcov_sort_n_vals (value_array, GCOV_ICALL_TOPN_NCOUNTS - 1); + } +} + +/* Sort topn indirect_call profile counters in GI_PTR. */ + +static void +gcov_sort_topn_counter_arrays (const struct gcov_info *gi_ptr) +{ + unsigned int i; + int f_ix; + const struct gcov_fn_info *gfi_ptr; + const struct gcov_ctr_info *ci_ptr; + + if (!gi_ptr->merge[GCOV_COUNTER_ICALL_TOPNV]) + return; + + for (f_ix = 0; (unsigned)f_ix != gi_ptr->n_functions; f_ix++) + { + gfi_ptr = gi_ptr->functions[f_ix]; + ci_ptr = gfi_ptr->ctrs; + for (i = 0; i < GCOV_COUNTERS; i++) + { + if (!gi_ptr->merge[i]) + continue; + if (i == GCOV_COUNTER_ICALL_TOPNV) + { + gcov_sort_icall_topn_counter (ci_ptr); + break; + } + ci_ptr++; + } + } +} + +/* Dump the coverage counts for one gcov_info object. We merge with existing + counts when possible, to avoid growing the .da files ad infinitum. We use + this program's checksum to make sure we only accumulate whole program + statistics to the correct summary. An object file might be embedded + in two separate programs, and we must keep the two program + summaries separate. */ + +static void +dump_one_gcov (struct gcov_info *gi_ptr, struct gcov_filename *gf, + unsigned run_counted, + gcov_unsigned_t crc32, struct gcov_summary *all_prg, + struct gcov_summary *this_prg) +{ + struct gcov_summary prg; /* summary for this object over all program. */ + int error; + gcov_unsigned_t tag; + gcov_position_t summary_pos = 0; + gcov_position_t eof_pos = 0; + + fn_buffer = 0; + sum_buffer = 0; + + gcov_sort_topn_counter_arrays (gi_ptr); + + error = gcov_exit_open_gcda_file (gi_ptr, gf); + if (error == -1) + return; + + tag = gcov_read_unsigned (); + if (tag) + { + /* Merge data from file. */ + if (tag != GCOV_DATA_MAGIC) + { + gcov_error ("profiling:%s:Not a gcov data file\n", gf->filename); + goto read_fatal; + } + error = merge_one_data (gf->filename, gi_ptr, &prg, this_prg, + &summary_pos, &eof_pos, crc32); + if (error == -1) + goto read_fatal; + } + + gcov_rewrite (); + + if (!summary_pos) + { + memset (&prg, 0, sizeof (prg)); + summary_pos = eof_pos; + } + + error = merge_summary (gf->filename, run_counted, gi_ptr, &prg, this_prg, + crc32, all_prg); + if (error == -1) + goto read_fatal; + + write_one_data (gi_ptr, &prg, eof_pos, summary_pos); + /* fall through */ + +read_fatal:; + while (fn_buffer) + fn_buffer = free_fn_data (gi_ptr, fn_buffer, GCOV_COUNTERS); + + if ((error = gcov_close ())) + gcov_error (error < 0 ? + "profiling:%s:Overflow writing\n" : + "profiling:%s:Error writing\n", + gf->filename); +} + + +/* Dump all the coverage counts for the program. It first computes program + summary and then traverses gcov_list list and dumps the gcov_info + objects one by one. */ + +#if !IN_GCOV_TOOL +static +#endif +void +gcov_do_dump (struct gcov_info *list, int run_counted) +{ + struct gcov_info *gi_ptr; + struct gcov_filename gf; + gcov_unsigned_t crc32; + struct gcov_summary all_prg; + struct gcov_summary this_prg; + + crc32 = compute_summary (list, &this_prg, &gf.max_length); + + allocate_filename_struct (&gf); +#if !GCOV_LOCKED + memset (&all_prg, 0, sizeof (all_prg)); +#endif + + /* Now merge each file. */ + for (gi_ptr = list; gi_ptr; gi_ptr = gi_ptr->next) + dump_one_gcov (gi_ptr, &gf, run_counted, crc32, &all_prg, &this_prg); + + free (gf.filename); +} + +#if !IN_GCOV_TOOL +void +__gcov_dump_one (struct gcov_root *root) +{ + if (root->dumped) + return; + + gcov_do_dump (root->list, root->run_counted); + + root->dumped = 1; + root->run_counted = 1; +} + +/* Per-dynamic-object gcov state. */ +struct gcov_root __gcov_root; + +/* Exactly one of these will be live in the process image. */ +struct gcov_master __gcov_master = + {GCOV_VERSION, 0}; + +static void +gcov_exit (void) +{ + __gcov_dump_one (&__gcov_root); + if (__gcov_root.next) + __gcov_root.next->prev = __gcov_root.prev; + if (__gcov_root.prev) + __gcov_root.prev->next = __gcov_root.next; + else + __gcov_master.root = __gcov_root.next; +} + +/* Add a new object file onto the bb chain. Invoked automatically + when running an object file's global ctors. */ + +void +__gcov_init (struct gcov_info *info) +{ + if (!info->version || !info->n_functions) + return; + if (gcov_version (info, info->version, 0)) + { + if (!__gcov_root.list) + { + /* Add to master list and at exit function. */ + if (gcov_version (NULL, __gcov_master.version, "")) + { + __gcov_root.next = __gcov_master.root; + if (__gcov_master.root) + __gcov_master.root->prev = &__gcov_root; + __gcov_master.root = &__gcov_root; + } + atexit (gcov_exit); + } + + info->next = __gcov_root.list; + __gcov_root.list = info; + } +} +#endif /* !IN_GCOV_TOOL */ +#endif /* L_gcov */ +#endif /* inhibit_libc */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov-interface.c b/contrib/toolchain/gcc/5x/libgcc/libgcov-interface.c new file mode 100644 index 0000000000..3db237a6f8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov-interface.c @@ -0,0 +1,317 @@ +/* Routines required for instrumenting a program. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1989-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "libgcov.h" +#include "gthr.h" + +#if defined(inhibit_libc) + +#ifdef L_gcov_flush +void __gcov_flush (void) {} +#endif + +#ifdef L_gcov_reset +void __gcov_reset (void) {} +#endif + +#ifdef L_gcov_dump +void __gcov_dump (void) {} +#endif + +#else + +/* Some functions we want to bind in this dynamic object, but have an + overridable global alias. Unfortunately not all targets support + aliases, so we just have a forwarding function. That'll be tail + called, so the cost is a single jump instruction.*/ + +#define ALIAS_void_fn(src,dst) \ + void dst (void) \ + { src (); } + +extern __gthread_mutex_t __gcov_flush_mx ATTRIBUTE_HIDDEN; +extern __gthread_mutex_t __gcov_flush_mx ATTRIBUTE_HIDDEN; + +#ifdef L_gcov_flush +#ifdef __GTHREAD_MUTEX_INIT +__gthread_mutex_t __gcov_flush_mx = __GTHREAD_MUTEX_INIT; +#define init_mx_once() +#else +__gthread_mutex_t __gcov_flush_mx; + +static void +init_mx (void) +{ + __GTHREAD_MUTEX_INIT_FUNCTION (&__gcov_flush_mx); +} + +static void +init_mx_once (void) +{ + static __gthread_once_t once = __GTHREAD_ONCE_INIT; + __gthread_once (&once, init_mx); +} +#endif + +/* Called before fork or exec - write out profile information gathered so + far and reset it to zero. This avoids duplication or loss of the + profile information gathered so far. */ + +void +__gcov_flush (void) +{ + init_mx_once (); + __gthread_mutex_lock (&__gcov_flush_mx); + + __gcov_dump_int (); + __gcov_reset_int (); + + __gthread_mutex_unlock (&__gcov_flush_mx); +} + +#endif /* L_gcov_flush */ + +#ifdef L_gcov_reset + +/* Reset all counters to zero. */ + +static void +gcov_clear (const struct gcov_info *list) +{ + const struct gcov_info *gi_ptr; + + for (gi_ptr = list; gi_ptr; gi_ptr = gi_ptr->next) + { + unsigned f_ix; + + for (f_ix = 0; f_ix < gi_ptr->n_functions; f_ix++) + { + unsigned t_ix; + const struct gcov_fn_info *gfi_ptr = gi_ptr->functions[f_ix]; + + if (!gfi_ptr || gfi_ptr->key != gi_ptr) + continue; + const struct gcov_ctr_info *ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix != GCOV_COUNTERS; t_ix++) + { + if (!gi_ptr->merge[t_ix]) + continue; + + memset (ci_ptr->values, 0, sizeof (gcov_type) * ci_ptr->num); + ci_ptr++; + } + } + } +} + +/* Function that can be called from application to reset counters to zero, + in order to collect profile in region of interest. */ + +void +__gcov_reset_int (void) +{ + struct gcov_root *root; + + /* If we're compatible with the master, iterate over everything, + otherise just do us. */ + for (root = __gcov_master.version == GCOV_VERSION + ? __gcov_master.root : &__gcov_root; root; root = root->next) + { + gcov_clear (root->list); + root->dumped = 0; + } +} + +ALIAS_void_fn (__gcov_reset_int, __gcov_reset); + +#endif /* L_gcov_reset */ + +#ifdef L_gcov_dump +/* Function that can be called from application to write profile collected + so far, in order to collect profile in region of interest. */ + +void +__gcov_dump_int (void) +{ + struct gcov_root *root; + + /* If we're compatible with the master, iterate over everything, + otherise just do us. */ + for (root = __gcov_master.version == GCOV_VERSION + ? __gcov_master.root : &__gcov_root; root; root = root->next) + __gcov_dump_one (root); +} + +ALIAS_void_fn (__gcov_dump_int, __gcov_dump); + +#endif /* L_gcov_dump */ + +#ifdef L_gcov_fork +/* A wrapper for the fork function. Flushes the accumulated profiling data, so + that they are not counted twice. */ + +pid_t +__gcov_fork (void) +{ + pid_t pid; + __gcov_flush (); + pid = fork (); + if (pid == 0) + __GTHREAD_MUTEX_INIT_FUNCTION (&__gcov_flush_mx); + return pid; +} +#endif + +#ifdef L_gcov_execl +/* A wrapper for the execl function. Flushes the accumulated + profiling data, so that they are not lost. */ + +int +__gcov_execl (const char *path, char *arg, ...) +{ + va_list ap, aq; + unsigned i, length; + char **args; + + __gcov_flush (); + + va_start (ap, arg); + va_copy (aq, ap); + + length = 2; + while (va_arg (ap, char *)) + length++; + va_end (ap); + + args = (char **) alloca (length * sizeof (void *)); + args[0] = arg; + for (i = 1; i < length; i++) + args[i] = va_arg (aq, char *); + va_end (aq); + + return execv (path, args); +} +#endif + +#ifdef L_gcov_execlp +/* A wrapper for the execlp function. Flushes the accumulated + profiling data, so that they are not lost. */ + +int +__gcov_execlp (const char *path, char *arg, ...) +{ + va_list ap, aq; + unsigned i, length; + char **args; + + __gcov_flush (); + + va_start (ap, arg); + va_copy (aq, ap); + + length = 2; + while (va_arg (ap, char *)) + length++; + va_end (ap); + + args = (char **) alloca (length * sizeof (void *)); + args[0] = arg; + for (i = 1; i < length; i++) + args[i] = va_arg (aq, char *); + va_end (aq); + + return execvp (path, args); +} +#endif + +#ifdef L_gcov_execle +/* A wrapper for the execle function. Flushes the accumulated + profiling data, so that they are not lost. */ + +int +__gcov_execle (const char *path, char *arg, ...) +{ + va_list ap, aq; + unsigned i, length; + char **args; + char **envp; + + __gcov_flush (); + + va_start (ap, arg); + va_copy (aq, ap); + + length = 2; + while (va_arg (ap, char *)) + length++; + va_end (ap); + + args = (char **) alloca (length * sizeof (void *)); + args[0] = arg; + for (i = 1; i < length; i++) + args[i] = va_arg (aq, char *); + envp = va_arg (aq, char **); + va_end (aq); + + return execve (path, args, envp); +} +#endif + +#ifdef L_gcov_execv +/* A wrapper for the execv function. Flushes the accumulated + profiling data, so that they are not lost. */ + +int +__gcov_execv (const char *path, char *const argv[]) +{ + __gcov_flush (); + return execv (path, argv); +} +#endif + +#ifdef L_gcov_execvp +/* A wrapper for the execvp function. Flushes the accumulated + profiling data, so that they are not lost. */ + +int +__gcov_execvp (const char *path, char *const argv[]) +{ + __gcov_flush (); + return execvp (path, argv); +} +#endif + +#ifdef L_gcov_execve +/* A wrapper for the execve function. Flushes the accumulated + profiling data, so that they are not lost. */ + +int +__gcov_execve (const char *path, char *const argv[], char *const envp[]) +{ + __gcov_flush (); + return execve (path, argv, envp); +} +#endif +#endif /* inhibit_libc */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov-merge.c b/contrib/toolchain/gcc/5x/libgcc/libgcov-merge.c new file mode 100644 index 0000000000..bf6920cfd0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov-merge.c @@ -0,0 +1,232 @@ +/* Routines required for instrumenting a program. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1989-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "libgcov.h" + +#if defined(inhibit_libc) +/* If libc and its header files are not available, provide dummy functions. */ + +#ifdef L_gcov_merge_add +void __gcov_merge_add (gcov_type *counters __attribute__ ((unused)), + unsigned n_counters __attribute__ ((unused))) {} +#endif + +#ifdef L_gcov_merge_single +void __gcov_merge_single (gcov_type *counters __attribute__ ((unused)), + unsigned n_counters __attribute__ ((unused))) {} +#endif + +#ifdef L_gcov_merge_delta +void __gcov_merge_delta (gcov_type *counters __attribute__ ((unused)), + unsigned n_counters __attribute__ ((unused))) {} +#endif + +#else + +#ifdef L_gcov_merge_add +/* The profile merging function that just adds the counters. It is given + an array COUNTERS of N_COUNTERS old counters and it reads the same number + of counters from the gcov file. */ +void +__gcov_merge_add (gcov_type *counters, unsigned n_counters) +{ + for (; n_counters; counters++, n_counters--) + *counters += gcov_get_counter (); +} +#endif /* L_gcov_merge_add */ + +#ifdef L_gcov_merge_ior +/* The profile merging function that just adds the counters. It is given + an array COUNTERS of N_COUNTERS old counters and it reads the same number + of counters from the gcov file. */ +void +__gcov_merge_ior (gcov_type *counters, unsigned n_counters) +{ + for (; n_counters; counters++, n_counters--) + *counters |= gcov_get_counter_target (); +} +#endif + +#ifdef L_gcov_merge_time_profile +/* Time profiles are merged so that minimum from all valid (greater than zero) + is stored. There could be a fork that creates new counters. To have + the profile stable, we chosen to pick the smallest function visit time. */ +void +__gcov_merge_time_profile (gcov_type *counters, unsigned n_counters) +{ + unsigned int i; + gcov_type value; + + for (i = 0; i < n_counters; i++) + { + value = gcov_get_counter_target (); + + if (value && (!counters[i] || value < counters[i])) + counters[i] = value; + } +} +#endif /* L_gcov_merge_time_profile */ + +#ifdef L_gcov_merge_single +/* The profile merging function for choosing the most common value. + It is given an array COUNTERS of N_COUNTERS old counters and it + reads the same number of counters from the gcov file. The counters + are split into 3-tuples where the members of the tuple have + meanings: + + -- the stored candidate on the most common value of the measured entity + -- counter + -- total number of evaluations of the value */ +void +__gcov_merge_single (gcov_type *counters, unsigned n_counters) +{ + unsigned i, n_measures; + gcov_type value, counter, all; + + gcc_assert (!(n_counters % 3)); + n_measures = n_counters / 3; + for (i = 0; i < n_measures; i++, counters += 3) + { + value = gcov_get_counter_target (); + counter = gcov_get_counter (); + all = gcov_get_counter (); + + if (counters[0] == value) + counters[1] += counter; + else if (counter > counters[1]) + { + counters[0] = value; + counters[1] = counter - counters[1]; + } + else + counters[1] -= counter; + counters[2] += all; + } +} +#endif /* L_gcov_merge_single */ + +#ifdef L_gcov_merge_delta +/* The profile merging function for choosing the most common + difference between two consecutive evaluations of the value. It is + given an array COUNTERS of N_COUNTERS old counters and it reads the + same number of counters from the gcov file. The counters are split + into 4-tuples where the members of the tuple have meanings: + + -- the last value of the measured entity + -- the stored candidate on the most common difference + -- counter + -- total number of evaluations of the value */ +void +__gcov_merge_delta (gcov_type *counters, unsigned n_counters) +{ + unsigned i, n_measures; + gcov_type value, counter, all; + + gcc_assert (!(n_counters % 4)); + n_measures = n_counters / 4; + for (i = 0; i < n_measures; i++, counters += 4) + { + /* last = */ gcov_get_counter (); + value = gcov_get_counter_target (); + counter = gcov_get_counter (); + all = gcov_get_counter (); + + if (counters[1] == value) + counters[2] += counter; + else if (counter > counters[2]) + { + counters[1] = value; + counters[2] = counter - counters[2]; + } + else + counters[2] -= counter; + counters[3] += all; + } +} +#endif /* L_gcov_merge_delta */ + +#ifdef L_gcov_merge_icall_topn +/* The profile merging function used for merging indirect call counts + This function is given array COUNTERS of N_COUNTERS old counters and it + reads the same number of counters from the gcov file. */ + +void +__gcov_merge_icall_topn (gcov_type *counters, unsigned n_counters) +{ + unsigned i, j, k, m; + + gcc_assert (!(n_counters % GCOV_ICALL_TOPN_NCOUNTS)); + for (i = 0; i < n_counters; i += GCOV_ICALL_TOPN_NCOUNTS) + { + gcov_type *value_array = &counters[i + 1]; + unsigned tmp_size = 2 * (GCOV_ICALL_TOPN_NCOUNTS - 1); + gcov_type *tmp_array + = (gcov_type *) alloca (tmp_size * sizeof (gcov_type)); + + for (j = 0; j < tmp_size; j++) + tmp_array[j] = 0; + + for (j = 0; j < GCOV_ICALL_TOPN_NCOUNTS - 1; j += 2) + { + tmp_array[j] = value_array[j]; + tmp_array[j + 1] = value_array [j + 1]; + } + + /* Skip the number_of_eviction entry. */ + gcov_get_counter (); + for (k = 0; k < GCOV_ICALL_TOPN_NCOUNTS - 1; k += 2) + { + int found = 0; + gcov_type global_id = gcov_get_counter_target (); + gcov_type call_count = gcov_get_counter (); + for (m = 0; m < j; m += 2) + { + if (tmp_array[m] == global_id) + { + found = 1; + tmp_array[m + 1] += call_count; + break; + } + } + if (!found) + { + tmp_array[j] = global_id; + tmp_array[j + 1] = call_count; + j += 2; + } + } + /* Now sort the temp array */ + gcov_sort_n_vals (tmp_array, j); + + /* Now copy back the top half of the temp array */ + for (k = 0; k < GCOV_ICALL_TOPN_NCOUNTS - 1; k += 2) + { + value_array[k] = tmp_array[k]; + value_array[k + 1] = tmp_array[k + 1]; + } + } +} +#endif /* L_gcov_merge_icall_topn */ +#endif /* inhibit_libc */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov-profiler.c b/contrib/toolchain/gcc/5x/libgcc/libgcov-profiler.c new file mode 100644 index 0000000000..b69c5243e6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov-profiler.c @@ -0,0 +1,336 @@ +/* Routines required for instrumenting a program. */ +/* Compile this one with gcc. */ +/* Copyright (C) 1989-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "libgcov.h" +#if !defined(inhibit_libc) + +#ifdef L_gcov_interval_profiler +/* If VALUE is in interval , then increases the + corresponding counter in COUNTERS. If the VALUE is above or below + the interval, COUNTERS[STEPS] or COUNTERS[STEPS + 1] is increased + instead. */ + +void +__gcov_interval_profiler (gcov_type *counters, gcov_type value, + int start, unsigned steps) +{ + gcov_type delta = value - start; + if (delta < 0) + counters[steps + 1]++; + else if (delta >= steps) + counters[steps]++; + else + counters[delta]++; +} +#endif + +#ifdef L_gcov_pow2_profiler +/* If VALUE is a power of two, COUNTERS[1] is incremented. Otherwise + COUNTERS[0] is incremented. */ + +void +__gcov_pow2_profiler (gcov_type *counters, gcov_type value) +{ + if (value & (value - 1)) + counters[0]++; + else + counters[1]++; +} +#endif + +/* Tries to determine the most common value among its inputs. Checks if the + value stored in COUNTERS[0] matches VALUE. If this is the case, COUNTERS[1] + is incremented. If this is not the case and COUNTERS[1] is not zero, + COUNTERS[1] is decremented. Otherwise COUNTERS[1] is set to one and + VALUE is stored to COUNTERS[0]. This algorithm guarantees that if this + function is called more than 50% of the time with one value, this value + will be in COUNTERS[0] in the end. + + In any case, COUNTERS[2] is incremented. */ + +static inline void +__gcov_one_value_profiler_body (gcov_type *counters, gcov_type value) +{ + if (value == counters[0]) + counters[1]++; + else if (counters[1] == 0) + { + counters[1] = 1; + counters[0] = value; + } + else + counters[1]--; + counters[2]++; +} + +#ifdef L_gcov_one_value_profiler +void +__gcov_one_value_profiler (gcov_type *counters, gcov_type value) +{ + __gcov_one_value_profiler_body (counters, value); +} +#endif + +#ifdef L_gcov_indirect_call_topn_profiler +/* Tries to keep track the most frequent N values in the counters where + N is specified by parameter TOPN_VAL. To track top N values, 2*N counter + entries are used. + counter[0] --- the accumative count of the number of times one entry in + in the counters gets evicted/replaced due to limited capacity. + When this value reaches a threshold, the bottom N values are + cleared. + counter[1] through counter[2*N] records the top 2*N values collected so far. + Each value is represented by two entries: count[2*i+1] is the ith value, and + count[2*i+2] is the number of times the value is seen. */ + +static void +__gcov_topn_value_profiler_body (gcov_type *counters, gcov_type value) +{ + unsigned i, found = 0, have_zero_count = 0; + gcov_type *entry; + gcov_type *lfu_entry = &counters[1]; + gcov_type *value_array = &counters[1]; + gcov_type *num_eviction = &counters[0]; + gcov_unsigned_t topn_val = GCOV_ICALL_TOPN_VAL; + + /* There are 2*topn_val values tracked, each value takes two slots in the + counter array. */ + for (i = 0; i < (topn_val << 2); i += 2) + { + entry = &value_array[i]; + if (entry[0] == value) + { + entry[1]++ ; + found = 1; + break; + } + else if (entry[1] == 0) + { + lfu_entry = entry; + have_zero_count = 1; + } + else if (entry[1] < lfu_entry[1]) + lfu_entry = entry; + } + + if (found) + return; + + /* lfu_entry is either an empty entry or an entry + with lowest count, which will be evicted. */ + lfu_entry[0] = value; + lfu_entry[1] = 1; + +#define GCOV_ICALL_COUNTER_CLEAR_THRESHOLD 3000 + + /* Too many evictions -- time to clear bottom entries to + avoid hot values bumping each other out. */ + if (!have_zero_count + && ++*num_eviction >= GCOV_ICALL_COUNTER_CLEAR_THRESHOLD) + { + unsigned i, j; + gcov_type *p, minv; + gcov_type* tmp_cnts + = (gcov_type *)alloca (topn_val * sizeof (gcov_type)); + + *num_eviction = 0; + + for (i = 0; i < topn_val; i++) + tmp_cnts[i] = 0; + + /* Find the largest topn_val values from the group of + 2*topn_val values and put them into tmp_cnts. */ + + for (i = 0; i < 2 * topn_val; i += 2) + { + p = 0; + for (j = 0; j < topn_val; j++) + { + if (!p || tmp_cnts[j] < *p) + p = &tmp_cnts[j]; + } + if (value_array[i + 1] > *p) + *p = value_array[i + 1]; + } + + minv = tmp_cnts[0]; + for (j = 1; j < topn_val; j++) + { + if (tmp_cnts[j] < minv) + minv = tmp_cnts[j]; + } + /* Zero out low value entries. */ + for (i = 0; i < 2 * topn_val; i += 2) + { + if (value_array[i + 1] < minv) + { + value_array[i] = 0; + value_array[i + 1] = 0; + } + } + } +} + +/* These two variables are used to actually track caller and callee. Keep + them in TLS memory so races are not common (they are written to often). + The variables are set directly by GCC instrumented code, so declaration + here must match one in tree-profile.c. */ + +#if defined(HAVE_CC_TLS) && !defined (USE_EMUTLS) +__thread +#endif +gcov_type *__gcov_indirect_call_topn_counters ATTRIBUTE_HIDDEN; + +#if defined(HAVE_CC_TLS) && !defined (USE_EMUTLS) +__thread +#endif +void *__gcov_indirect_call_topn_callee ATTRIBUTE_HIDDEN; + +#ifdef TARGET_VTABLE_USES_DESCRIPTORS +#define VTABLE_USES_DESCRIPTORS 1 +#else +#define VTABLE_USES_DESCRIPTORS 0 +#endif + +/* This fucntion is instrumented at function entry to track topn indirect + calls to CUR_FUNC. */ + +void +__gcov_indirect_call_topn_profiler (gcov_type value, void* cur_func) +{ + void *callee_func = __gcov_indirect_call_topn_callee; + /* If the C++ virtual tables contain function descriptors then one + function may have multiple descriptors and we need to dereference + the descriptors to see if they point to the same function. */ + if (cur_func == callee_func + || (VTABLE_USES_DESCRIPTORS && callee_func + && *(void **) cur_func == *(void **) callee_func)) + __gcov_topn_value_profiler_body (__gcov_indirect_call_topn_counters, value); +} +#endif + +#ifdef L_gcov_indirect_call_profiler +/* This function exist only for workaround of binutils bug 14342. + Once this compatibility hack is obsolette, it can be removed. */ + +/* By default, the C++ compiler will use function addresses in the + vtable entries. Setting TARGET_VTABLE_USES_DESCRIPTORS to nonzero + tells the compiler to use function descriptors instead. The value + of this macro says how many words wide the descriptor is (normally 2). + + It is assumed that the address of a function descriptor may be treated + as a pointer to a function. */ + +/* Tries to determine the most common value among its inputs. */ +void +__gcov_indirect_call_profiler (gcov_type* counter, gcov_type value, + void* cur_func, void* callee_func) +{ + /* If the C++ virtual tables contain function descriptors then one + function may have multiple descriptors and we need to dereference + the descriptors to see if they point to the same function. */ + if (cur_func == callee_func + || (__LIBGCC_VTABLE_USES_DESCRIPTORS__ && callee_func + && *(void **) cur_func == *(void **) callee_func)) + __gcov_one_value_profiler_body (counter, value); +} +#endif + +#ifdef L_gcov_indirect_call_profiler_v2 + +/* These two variables are used to actually track caller and callee. Keep + them in TLS memory so races are not common (they are written to often). + The variables are set directly by GCC instrumented code, so declaration + here must match one in tree-profile.c */ + +#if defined(HAVE_CC_TLS) && !defined (USE_EMUTLS) +__thread +#endif +void * __gcov_indirect_call_callee; +#if defined(HAVE_CC_TLS) && !defined (USE_EMUTLS) +__thread +#endif +gcov_type * __gcov_indirect_call_counters; + +/* By default, the C++ compiler will use function addresses in the + vtable entries. Setting TARGET_VTABLE_USES_DESCRIPTORS to nonzero + tells the compiler to use function descriptors instead. The value + of this macro says how many words wide the descriptor is (normally 2). + + It is assumed that the address of a function descriptor may be treated + as a pointer to a function. */ + +/* Tries to determine the most common value among its inputs. */ +void +__gcov_indirect_call_profiler_v2 (gcov_type value, void* cur_func) +{ + /* If the C++ virtual tables contain function descriptors then one + function may have multiple descriptors and we need to dereference + the descriptors to see if they point to the same function. */ + if (cur_func == __gcov_indirect_call_callee + || (__LIBGCC_VTABLE_USES_DESCRIPTORS__ && __gcov_indirect_call_callee + && *(void **) cur_func == *(void **) __gcov_indirect_call_callee)) + __gcov_one_value_profiler_body (__gcov_indirect_call_counters, value); +} +#endif + +#ifdef L_gcov_time_profiler + +/* Counter for first visit of each function. */ +static gcov_type function_counter; + +/* Sets corresponding COUNTERS if there is no value. */ + +void +__gcov_time_profiler (gcov_type* counters) +{ + if (!counters[0]) + counters[0] = ++function_counter; +} +#endif + +#ifdef L_gcov_average_profiler +/* Increase corresponding COUNTER by VALUE. FIXME: Perhaps we want + to saturate up. */ + +void +__gcov_average_profiler (gcov_type *counters, gcov_type value) +{ + counters[0] += value; + counters[1] ++; +} +#endif + +#ifdef L_gcov_ior_profiler +/* Bitwise-OR VALUE into COUNTER. */ + +void +__gcov_ior_profiler (gcov_type *counters, gcov_type value) +{ + *counters |= value; +} +#endif + +#endif /* inhibit_libc */ diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov-util.c b/contrib/toolchain/gcc/5x/libgcc/libgcov-util.c new file mode 100644 index 0000000000..d76c2eb485 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov-util.c @@ -0,0 +1,1408 @@ +/* Utility functions for reading gcda files into in-memory + gcov_info structures and offline profile processing. */ +/* Copyright (C) 2014-2015 Free Software Foundation, Inc. + Contributed by Rong Xu . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + + +#define IN_GCOV_TOOL 1 + +#include "libgcov.h" +#include "intl.h" +#include "diagnostic.h" +#include "version.h" +#include "demangle.h" + +/* Borrowed from basic-block.h. */ +#define RDIV(X,Y) (((X) + (Y) / 2) / (Y)) + +extern gcov_position_t gcov_position(); +extern int gcov_is_error(); + +/* Verbose mode for debug. */ +static int verbose; + +/* Set verbose flag. */ +void gcov_set_verbose (void) +{ + verbose = 1; +} + +/* The following part is to read Gcda and reconstruct GCOV_INFO. */ + +#include "obstack.h" +#include +#ifdef HAVE_FTW_H +#include +#endif + +static void tag_function (unsigned, unsigned); +static void tag_blocks (unsigned, unsigned); +static void tag_arcs (unsigned, unsigned); +static void tag_lines (unsigned, unsigned); +static void tag_counters (unsigned, unsigned); +static void tag_summary (unsigned, unsigned); + +/* The gcov_info for the first module. */ +static struct gcov_info *curr_gcov_info; +/* The gcov_info being processed. */ +static struct gcov_info *gcov_info_head; +/* This variable contains all the functions in current module. */ +static struct obstack fn_info; +/* The function being processed. */ +static struct gcov_fn_info *curr_fn_info; +/* The number of functions seen so far. */ +static unsigned num_fn_info; +/* This variable contains all the counters for current module. */ +static int k_ctrs_mask[GCOV_COUNTERS]; +/* The kind of counters that have been seen. */ +static struct gcov_ctr_info k_ctrs[GCOV_COUNTERS]; +/* Number of kind of counters that have been seen. */ +static int k_ctrs_types; + +/* Merge functions for counters. */ +#define DEF_GCOV_COUNTER(COUNTER, NAME, FN_TYPE) __gcov_merge ## FN_TYPE, +static gcov_merge_fn ctr_merge_functions[GCOV_COUNTERS] = { +#include "gcov-counter.def" +}; +#undef DEF_GCOV_COUNTER + +/* Set the ctrs field in gcov_fn_info object FN_INFO. */ + +static void +set_fn_ctrs (struct gcov_fn_info *fn_info) +{ + int j = 0, i; + + for (i = 0; i < GCOV_COUNTERS; i++) + { + if (k_ctrs_mask[i] == 0) + continue; + fn_info->ctrs[j].num = k_ctrs[i].num; + fn_info->ctrs[j].values = k_ctrs[i].values; + j++; + } + if (k_ctrs_types == 0) + k_ctrs_types = j; + else + gcc_assert (j == k_ctrs_types); +} + +/* For each tag in gcda file, we have an entry here. + TAG is the tag value; NAME is the tag name; and + PROC is the handler function. */ + +typedef struct tag_format +{ + unsigned tag; + char const *name; + void (*proc) (unsigned, unsigned); +} tag_format_t; + +/* Handler table for various Tags. */ + +static const tag_format_t tag_table[] = +{ + {0, "NOP", NULL}, + {0, "UNKNOWN", NULL}, + {0, "COUNTERS", tag_counters}, + {GCOV_TAG_FUNCTION, "FUNCTION", tag_function}, + {GCOV_TAG_BLOCKS, "BLOCKS", tag_blocks}, + {GCOV_TAG_ARCS, "ARCS", tag_arcs}, + {GCOV_TAG_LINES, "LINES", tag_lines}, + {GCOV_TAG_OBJECT_SUMMARY, "OBJECT_SUMMARY", tag_summary}, + {GCOV_TAG_PROGRAM_SUMMARY, "PROGRAM_SUMMARY", tag_summary}, + {0, NULL, NULL} +}; + +/* Handler for reading function tag. */ + +static void +tag_function (unsigned tag ATTRIBUTE_UNUSED, unsigned length ATTRIBUTE_UNUSED) +{ + int i; + + /* write out previous fn_info. */ + if (num_fn_info) + { + set_fn_ctrs (curr_fn_info); + obstack_ptr_grow (&fn_info, curr_fn_info); + } + + /* Here we over allocate a bit, using GCOV_COUNTERS instead of the actual active + counter types. */ + curr_fn_info = (struct gcov_fn_info *) xcalloc (sizeof (struct gcov_fn_info) + + GCOV_COUNTERS * sizeof (struct gcov_ctr_info), 1); + + for (i = 0; i < GCOV_COUNTERS; i++) + k_ctrs[i].num = 0; + k_ctrs_types = 0; + + curr_fn_info->key = curr_gcov_info; + curr_fn_info->ident = gcov_read_unsigned (); + curr_fn_info->lineno_checksum = gcov_read_unsigned (); + curr_fn_info->cfg_checksum = gcov_read_unsigned (); + num_fn_info++; + + if (verbose) + fnotice (stdout, "tag one function id=%d\n", curr_fn_info->ident); +} + +/* Handler for reading block tag. */ + +static void +tag_blocks (unsigned tag ATTRIBUTE_UNUSED, unsigned length ATTRIBUTE_UNUSED) +{ + /* TBD: gcov-tool currently does not handle gcno files. Assert here. */ + gcc_unreachable (); +} + +/* Handler for reading flow arc tag. */ + +static void +tag_arcs (unsigned tag ATTRIBUTE_UNUSED, unsigned length ATTRIBUTE_UNUSED) +{ + /* TBD: gcov-tool currently does not handle gcno files. Assert here. */ + gcc_unreachable (); +} + +/* Handler for reading line tag. */ + +static void +tag_lines (unsigned tag ATTRIBUTE_UNUSED, unsigned length ATTRIBUTE_UNUSED) +{ + /* TBD: gcov-tool currently does not handle gcno files. Assert here. */ + gcc_unreachable (); +} + +/* Handler for reading counters array tag with value as TAG and length of LENGTH. */ + +static void +tag_counters (unsigned tag, unsigned length) +{ + unsigned n_counts = GCOV_TAG_COUNTER_NUM (length); + gcov_type *values; + unsigned ix; + unsigned tag_ix; + + tag_ix = GCOV_COUNTER_FOR_TAG (tag); + gcc_assert (tag_ix < GCOV_COUNTERS); + k_ctrs_mask [tag_ix] = 1; + gcc_assert (k_ctrs[tag_ix].num == 0); + k_ctrs[tag_ix].num = n_counts; + + k_ctrs[tag_ix].values = values = (gcov_type *) xmalloc (n_counts * sizeof (gcov_type)); + gcc_assert (values); + + for (ix = 0; ix != n_counts; ix++) + values[ix] = gcov_read_counter (); +} + +/* Handler for reading summary tag. */ + +static void +tag_summary (unsigned tag ATTRIBUTE_UNUSED, unsigned length ATTRIBUTE_UNUSED) +{ + struct gcov_summary summary; + + gcov_read_summary (&summary); +} + +/* This function is called at the end of reading a gcda file. + It flushes the contents in curr_fn_info to gcov_info object OBJ_INFO. */ + +static void +read_gcda_finalize (struct gcov_info *obj_info) +{ + int i; + + set_fn_ctrs (curr_fn_info); + obstack_ptr_grow (&fn_info, curr_fn_info); + + /* We set the following fields: merge, n_functions, and functions. */ + obj_info->n_functions = num_fn_info; + obj_info->functions = (const struct gcov_fn_info**) obstack_finish (&fn_info); + + /* wrap all the counter array. */ + for (i=0; i< GCOV_COUNTERS; i++) + { + if (k_ctrs_mask[i]) + obj_info->merge[i] = ctr_merge_functions[i]; + } +} + +/* Read the content of a gcda file FILENAME, and return a gcov_info data structure. + Program level summary CURRENT_SUMMARY will also be updated. */ + +static struct gcov_info * +read_gcda_file (const char *filename) +{ + unsigned tags[4]; + unsigned depth = 0; + unsigned magic, version; + struct gcov_info *obj_info; + int i; + + for (i=0; i< GCOV_COUNTERS; i++) + k_ctrs_mask[i] = 0; + k_ctrs_types = 0; + + if (!gcov_open (filename)) + { + fnotice (stderr, "%s:cannot open\n", filename); + return NULL; + } + + /* Read magic. */ + magic = gcov_read_unsigned (); + if (magic != GCOV_DATA_MAGIC) + { + fnotice (stderr, "%s:not a gcov data file\n", filename); + gcov_close (); + return NULL; + } + + /* Read version. */ + version = gcov_read_unsigned (); + if (version != GCOV_VERSION) + { + fnotice (stderr, "%s:incorrect gcov version %d vs %d \n", filename, version, GCOV_VERSION); + gcov_close (); + return NULL; + } + + /* Instantiate a gcov_info object. */ + curr_gcov_info = obj_info = (struct gcov_info *) xcalloc (sizeof (struct gcov_info) + + sizeof (struct gcov_ctr_info) * GCOV_COUNTERS, 1); + + obj_info->version = version; + obstack_init (&fn_info); + num_fn_info = 0; + curr_fn_info = 0; + { + size_t len = strlen (filename) + 1; + char *str_dup = (char*) xmalloc (len); + + memcpy (str_dup, filename, len); + obj_info->filename = str_dup; + } + + /* Read stamp. */ + obj_info->stamp = gcov_read_unsigned (); + + while (1) + { + gcov_position_t base; + unsigned tag, length; + tag_format_t const *format; + unsigned tag_depth; + int error; + unsigned mask; + + tag = gcov_read_unsigned (); + if (!tag) + break; + length = gcov_read_unsigned (); + base = gcov_position (); + mask = GCOV_TAG_MASK (tag) >> 1; + for (tag_depth = 4; mask; mask >>= 8) + { + if (((mask & 0xff) != 0xff)) + { + warning (0, "%s:tag `%x' is invalid\n", filename, tag); + break; + } + tag_depth--; + } + for (format = tag_table; format->name; format++) + if (format->tag == tag) + goto found; + format = &tag_table[GCOV_TAG_IS_COUNTER (tag) ? 2 : 1]; + found:; + if (tag) + { + if (depth && depth < tag_depth) + { + if (!GCOV_TAG_IS_SUBTAG (tags[depth - 1], tag)) + warning (0, "%s:tag `%x' is incorrectly nested\n", + filename, tag); + } + depth = tag_depth; + tags[depth - 1] = tag; + } + + if (format->proc) + { + unsigned long actual_length; + + (*format->proc) (tag, length); + + actual_length = gcov_position () - base; + if (actual_length > length) + warning (0, "%s:record size mismatch %lu bytes overread\n", + filename, actual_length - length); + else if (length > actual_length) + warning (0, "%s:record size mismatch %lu bytes unread\n", + filename, length - actual_length); + } + + gcov_sync (base, length); + if ((error = gcov_is_error ())) + { + warning (0, error < 0 ? "%s:counter overflow at %lu\n" : + "%s:read error at %lu\n", filename, + (long unsigned) gcov_position ()); + break; + } + } + + read_gcda_finalize (obj_info); + gcov_close (); + + return obj_info; +} + +#ifdef HAVE_FTW_H +/* This will be called by ftw(). It opens and read a gcda file FILENAME. + Return a non-zero value to stop the tree walk. */ + +static int +ftw_read_file (const char *filename, + const struct stat *status ATTRIBUTE_UNUSED, + int type) +{ + int filename_len; + int suffix_len; + struct gcov_info *obj_info; + + /* Only read regular files. */ + if (type != FTW_F) + return 0; + + filename_len = strlen (filename); + suffix_len = strlen (GCOV_DATA_SUFFIX); + + if (filename_len <= suffix_len) + return 0; + + if (strcmp(filename + filename_len - suffix_len, GCOV_DATA_SUFFIX)) + return 0; + + if (verbose) + fnotice (stderr, "reading file: %s\n", filename); + + obj_info = read_gcda_file (filename); + if (!obj_info) + return 0; + + obj_info->next = gcov_info_head; + gcov_info_head = obj_info; + + return 0; +} +#endif + +/* Initializer for reading a profile dir. */ + +static inline void +read_profile_dir_init (void) +{ + gcov_info_head = 0; +} + +/* Driver for read a profile directory and convert into gcov_info list in memory. + Return NULL on error, + Return the head of gcov_info list on success. */ + +struct gcov_info * +gcov_read_profile_dir (const char* dir_name, int recompute_summary ATTRIBUTE_UNUSED) +{ + char *pwd; + int ret; + + read_profile_dir_init (); + + if (access (dir_name, R_OK) != 0) + { + fnotice (stderr, "cannot access directory %s\n", dir_name); + return NULL; + } + pwd = getcwd (NULL, 0); + gcc_assert (pwd); + ret = chdir (dir_name); + if (ret !=0) + { + fnotice (stderr, "%s is not a directory\n", dir_name); + return NULL; + } +#ifdef HAVE_FTW_H + ftw (".", ftw_read_file, 50); +#endif + ret = chdir (pwd); + free (pwd); + + + return gcov_info_head;; +} + +/* This part of the code is to merge profile counters. These + variables are set in merge_wrapper and to be used by + global function gcov_read_counter_mem() and gcov_get_merge_weight. */ + +/* We save the counter value address to this variable. */ +static gcov_type *gcov_value_buf; + +/* The number of counter values to be read by current merging. */ +static gcov_unsigned_t gcov_value_buf_size; + +/* The index of counter values being read. */ +static gcov_unsigned_t gcov_value_buf_pos; + +/* The weight of current merging. */ +static unsigned gcov_merge_weight; + +/* Read a counter value from gcov_value_buf array. */ + +gcov_type +gcov_read_counter_mem (void) +{ + gcov_type ret; + gcc_assert (gcov_value_buf_pos < gcov_value_buf_size); + ret = *(gcov_value_buf + gcov_value_buf_pos); + ++gcov_value_buf_pos; + return ret; +} + +/* Return the recorded merge weight. */ + +unsigned +gcov_get_merge_weight (void) +{ + return gcov_merge_weight; +} + +/* A wrapper function for merge functions. It sets up the + value buffer and weights and then calls the merge function. */ + +static void +merge_wrapper (gcov_merge_fn f, gcov_type *v1, gcov_unsigned_t n, + gcov_type *v2, unsigned w) +{ + gcov_value_buf = v2; + gcov_value_buf_pos = 0; + gcov_value_buf_size = n; + gcov_merge_weight = w; + (*f) (v1, n); +} + +/* Offline tool to manipulate profile data. + This tool targets on matched profiles. But it has some tolerance on + unmatched profiles. + When merging p1 to p2 (p2 is the dst), + * m.gcda in p1 but not in p2: append m.gcda to p2 with specified weight; + emit warning + * m.gcda in p2 but not in p1: keep m.gcda in p2 and multiply by + specified weight; emit warning. + * m.gcda in both p1 and p2: + ** p1->m.gcda->f checksum matches p2->m.gcda->f: simple merge. + ** p1->m.gcda->f checksum does not matches p2->m.gcda->f: keep + p2->m.gcda->f and + drop p1->m.gcda->f. A warning is emitted. */ + +/* Add INFO2's counter to INFO1, multiplying by weight W. */ + +static int +gcov_merge (struct gcov_info *info1, struct gcov_info *info2, int w) +{ + unsigned f_ix; + unsigned n_functions = info1->n_functions; + int has_mismatch = 0; + + gcc_assert (info2->n_functions == n_functions); + for (f_ix = 0; f_ix < n_functions; f_ix++) + { + unsigned t_ix; + const struct gcov_fn_info *gfi_ptr1 = info1->functions[f_ix]; + const struct gcov_fn_info *gfi_ptr2 = info2->functions[f_ix]; + const struct gcov_ctr_info *ci_ptr1, *ci_ptr2; + + if (!gfi_ptr1 || gfi_ptr1->key != info1) + continue; + if (!gfi_ptr2 || gfi_ptr2->key != info2) + continue; + + if (gfi_ptr1->cfg_checksum != gfi_ptr2->cfg_checksum) + { + fnotice (stderr, "in %s, cfg_checksum mismatch, skipping\n", + info1->filename); + has_mismatch = 1; + continue; + } + ci_ptr1 = gfi_ptr1->ctrs; + ci_ptr2 = gfi_ptr2->ctrs; + for (t_ix = 0; t_ix != GCOV_COUNTERS; t_ix++) + { + gcov_merge_fn merge1 = info1->merge[t_ix]; + gcov_merge_fn merge2 = info2->merge[t_ix]; + + gcc_assert (merge1 == merge2); + if (!merge1) + continue; + gcc_assert (ci_ptr1->num == ci_ptr2->num); + merge_wrapper (merge1, ci_ptr1->values, ci_ptr1->num, ci_ptr2->values, w); + ci_ptr1++; + ci_ptr2++; + } + } + + return has_mismatch; +} + +/* Find and return the match gcov_info object for INFO from ARRAY. + SIZE is the length of ARRAY. + Return NULL if there is no match. */ + +static struct gcov_info * +find_match_gcov_info (struct gcov_info **array, int size, + struct gcov_info *info) +{ + struct gcov_info *gi_ptr; + struct gcov_info *ret = NULL; + int i; + + for (i = 0; i < size; i++) + { + gi_ptr = array[i]; + if (gi_ptr == 0) + continue; + if (!strcmp (gi_ptr->filename, info->filename)) + { + ret = gi_ptr; + array[i] = 0; + break; + } + } + + if (ret && ret->n_functions != info->n_functions) + { + fnotice (stderr, "mismatched profiles in %s (%d functions" + " vs %d functions)\n", + ret->filename, + ret->n_functions, + info->n_functions); + ret = NULL; + } + return ret; +} + +/* Merge the list of gcov_info objects from SRC_PROFILE to TGT_PROFILE. + Return 0 on success: without mismatch. + Reutrn 1 on error. */ + +int +gcov_profile_merge (struct gcov_info *tgt_profile, struct gcov_info *src_profile, + int w1, int w2) +{ + struct gcov_info *gi_ptr; + struct gcov_info **tgt_infos; + struct gcov_info *tgt_tail; + struct gcov_info **in_src_not_tgt; + unsigned tgt_cnt = 0, src_cnt = 0; + unsigned unmatch_info_cnt = 0; + unsigned int i; + + for (gi_ptr = tgt_profile; gi_ptr; gi_ptr = gi_ptr->next) + tgt_cnt++; + for (gi_ptr = src_profile; gi_ptr; gi_ptr = gi_ptr->next) + src_cnt++; + tgt_infos = (struct gcov_info **) xmalloc (sizeof (struct gcov_info *) + * tgt_cnt); + gcc_assert (tgt_infos); + in_src_not_tgt = (struct gcov_info **) xmalloc (sizeof (struct gcov_info *) + * src_cnt); + gcc_assert (in_src_not_tgt); + + for (gi_ptr = tgt_profile, i = 0; gi_ptr; gi_ptr = gi_ptr->next, i++) + tgt_infos[i] = gi_ptr; + + tgt_tail = tgt_infos[tgt_cnt - 1]; + + /* First pass on tgt_profile, we multiply w1 to all counters. */ + if (w1 > 1) + { + for (i = 0; i < tgt_cnt; i++) + gcov_merge (tgt_infos[i], tgt_infos[i], w1-1); + } + + /* Second pass, add src_profile to the tgt_profile. */ + for (gi_ptr = src_profile; gi_ptr; gi_ptr = gi_ptr->next) + { + struct gcov_info *gi_ptr1; + + gi_ptr1 = find_match_gcov_info (tgt_infos, tgt_cnt, gi_ptr); + if (gi_ptr1 == NULL) + { + in_src_not_tgt[unmatch_info_cnt++] = gi_ptr; + continue; + } + gcov_merge (gi_ptr1, gi_ptr, w2); + } + + /* For modules in src but not in tgt. We adjust the counter and append. */ + for (i = 0; i < unmatch_info_cnt; i++) + { + gi_ptr = in_src_not_tgt[i]; + gcov_merge (gi_ptr, gi_ptr, w2 - 1); + tgt_tail->next = gi_ptr; + tgt_tail = gi_ptr; + } + + return 0; +} + +typedef gcov_type (*counter_op_fn) (gcov_type, void*, void*); + +/* Performing FN upon arc counters. */ + +static void +__gcov_add_counter_op (gcov_type *counters, unsigned n_counters, + counter_op_fn fn, void *data1, void *data2) +{ + for (; n_counters; counters++, n_counters--) + { + gcov_type val = *counters; + *counters = fn(val, data1, data2); + } +} + +/* Performing FN upon ior counters. */ + +static void +__gcov_ior_counter_op (gcov_type *counters ATTRIBUTE_UNUSED, + unsigned n_counters ATTRIBUTE_UNUSED, + counter_op_fn fn ATTRIBUTE_UNUSED, + void *data1 ATTRIBUTE_UNUSED, + void *data2 ATTRIBUTE_UNUSED) +{ + /* Do nothing. */ +} + +/* Performing FN upon time-profile counters. */ + +static void +__gcov_time_profile_counter_op (gcov_type *counters ATTRIBUTE_UNUSED, + unsigned n_counters ATTRIBUTE_UNUSED, + counter_op_fn fn ATTRIBUTE_UNUSED, + void *data1 ATTRIBUTE_UNUSED, + void *data2 ATTRIBUTE_UNUSED) +{ + /* Do nothing. */ +} + +/* Performaing FN upon delta counters. */ + +static void +__gcov_delta_counter_op (gcov_type *counters, unsigned n_counters, + counter_op_fn fn, void *data1, void *data2) +{ + unsigned i, n_measures; + + gcc_assert (!(n_counters % 4)); + n_measures = n_counters / 4; + for (i = 0; i < n_measures; i++, counters += 4) + { + counters[2] = fn (counters[2], data1, data2); + counters[3] = fn (counters[3], data1, data2); + } +} + +/* Performing FN upon single counters. */ + +static void +__gcov_single_counter_op (gcov_type *counters, unsigned n_counters, + counter_op_fn fn, void *data1, void *data2) +{ + unsigned i, n_measures; + + gcc_assert (!(n_counters % 3)); + n_measures = n_counters / 3; + for (i = 0; i < n_measures; i++, counters += 3) + { + counters[1] = fn (counters[1], data1, data2); + counters[2] = fn (counters[2], data1, data2); + } +} + +/* Performing FN upon indirect-call profile counters. */ + +static void +__gcov_icall_topn_counter_op (gcov_type *counters, unsigned n_counters, + counter_op_fn fn, void *data1, void *data2) +{ + unsigned i; + + gcc_assert (!(n_counters % GCOV_ICALL_TOPN_NCOUNTS)); + for (i = 0; i < n_counters; i += GCOV_ICALL_TOPN_NCOUNTS) + { + unsigned j; + gcov_type *value_array = &counters[i + 1]; + + for (j = 0; j < GCOV_ICALL_TOPN_NCOUNTS - 1; j += 2) + value_array[j + 1] = fn (value_array[j + 1], data1, data2); + } +} + +/* Scaling the counter value V by multiplying *(float*) DATA1. */ + +static gcov_type +fp_scale (gcov_type v, void *data1, void *data2 ATTRIBUTE_UNUSED) +{ + float f = *(float *) data1; + return (gcov_type) (v * f); +} + +/* Scaling the counter value V by multiplying DATA2/DATA1. */ + +static gcov_type +int_scale (gcov_type v, void *data1, void *data2) +{ + int n = *(int *) data1; + int d = *(int *) data2; + return (gcov_type) ( RDIV (v,d) * n); +} + +/* Type of function used to process counters. */ +typedef void (*gcov_counter_fn) (gcov_type *, gcov_unsigned_t, + counter_op_fn, void *, void *); + +/* Function array to process profile counters. */ +#define DEF_GCOV_COUNTER(COUNTER, NAME, FN_TYPE) \ + __gcov ## FN_TYPE ## _counter_op, +static gcov_counter_fn ctr_functions[GCOV_COUNTERS] = { +#include "gcov-counter.def" +}; +#undef DEF_GCOV_COUNTER + +/* Driver for scaling profile counters. */ + +int +gcov_profile_scale (struct gcov_info *profile, float scale_factor, int n, int d) +{ + struct gcov_info *gi_ptr; + unsigned f_ix; + + if (verbose) + fnotice (stdout, "scale_factor is %f or %d/%d\n", scale_factor, n, d); + + /* Scaling the counters. */ + for (gi_ptr = profile; gi_ptr; gi_ptr = gi_ptr->next) + for (f_ix = 0; f_ix < gi_ptr->n_functions; f_ix++) + { + unsigned t_ix; + const struct gcov_fn_info *gfi_ptr = gi_ptr->functions[f_ix]; + const struct gcov_ctr_info *ci_ptr; + + if (!gfi_ptr || gfi_ptr->key != gi_ptr) + continue; + + ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix != GCOV_COUNTERS; t_ix++) + { + gcov_merge_fn merge = gi_ptr->merge[t_ix]; + + if (!merge) + continue; + if (d == 0) + (*ctr_functions[t_ix]) (ci_ptr->values, ci_ptr->num, + fp_scale, &scale_factor, NULL); + else + (*ctr_functions[t_ix]) (ci_ptr->values, ci_ptr->num, + int_scale, &n, &d); + ci_ptr++; + } + } + + return 0; +} + +/* Driver to normalize profile counters. */ + +int +gcov_profile_normalize (struct gcov_info *profile, gcov_type max_val) +{ + struct gcov_info *gi_ptr; + gcov_type curr_max_val = 0; + unsigned f_ix; + unsigned int i; + float scale_factor; + + /* Find the largest count value. */ + for (gi_ptr = profile; gi_ptr; gi_ptr = gi_ptr->next) + for (f_ix = 0; f_ix < gi_ptr->n_functions; f_ix++) + { + unsigned t_ix; + const struct gcov_fn_info *gfi_ptr = gi_ptr->functions[f_ix]; + const struct gcov_ctr_info *ci_ptr; + + if (!gfi_ptr || gfi_ptr->key != gi_ptr) + continue; + + ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix < 1; t_ix++) + { + for (i = 0; i < ci_ptr->num; i++) + if (ci_ptr->values[i] > curr_max_val) + curr_max_val = ci_ptr->values[i]; + ci_ptr++; + } + } + + scale_factor = (float)max_val / curr_max_val; + if (verbose) + fnotice (stdout, "max_val is %"PRId64"\n", curr_max_val); + + return gcov_profile_scale (profile, scale_factor, 0, 0); +} + +/* The following variables are defined in gcc/gcov-tool.c. */ +extern int overlap_func_level; +extern int overlap_obj_level; +extern int overlap_hot_only; +extern int overlap_use_fullname; +extern double overlap_hot_threshold; + +/* Compute the overlap score of two values. The score is defined as: + min (V1/SUM_1, V2/SUM_2) */ + +static double +calculate_2_entries (const unsigned long v1, const unsigned long v2, + const double sum_1, const double sum_2) +{ + double val1 = (sum_1 == 0.0 ? 0.0 : v1/sum_1); + double val2 = (sum_2 == 0.0 ? 0.0 : v2/sum_2); + + if (val2 < val1) + val1 = val2; + + return val1; +} + +/* Compute the overlap score between GCOV_INFO1 and GCOV_INFO2. + SUM_1 is the sum_all for profile1 where GCOV_INFO1 belongs. + SUM_2 is the sum_all for profile2 where GCOV_INFO2 belongs. + This function also updates cumulative score CUM_1_RESULT and + CUM_2_RESULT. */ + +static double +compute_one_gcov (const struct gcov_info *gcov_info1, + const struct gcov_info *gcov_info2, + const double sum_1, const double sum_2, + double *cum_1_result, double *cum_2_result) +{ + unsigned f_ix; + double ret = 0; + double cum_1 = 0, cum_2 = 0; + const struct gcov_info *gcov_info = 0; + double *cum_p; + double sum; + + gcc_assert (gcov_info1 || gcov_info2); + if (!gcov_info1) + { + gcov_info = gcov_info2; + cum_p = cum_2_result; + sum = sum_2; + *cum_1_result = 0; + } else + if (!gcov_info2) + { + gcov_info = gcov_info1; + cum_p = cum_1_result; + sum = sum_1; + *cum_2_result = 0; + } + + if (gcov_info) + { + for (f_ix = 0; f_ix < gcov_info->n_functions; f_ix++) + { + unsigned t_ix; + const struct gcov_fn_info *gfi_ptr = gcov_info->functions[f_ix]; + if (!gfi_ptr || gfi_ptr->key != gcov_info) + continue; + const struct gcov_ctr_info *ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix < GCOV_COUNTERS_SUMMABLE; t_ix++) + { + unsigned c_num; + + if (!gcov_info->merge[t_ix]) + continue; + + for (c_num = 0; c_num < ci_ptr->num; c_num++) + { + cum_1 += ci_ptr->values[c_num] / sum; + } + ci_ptr++; + } + } + *cum_p = cum_1; + return 0.0; + } + + for (f_ix = 0; f_ix < gcov_info1->n_functions; f_ix++) + { + unsigned t_ix; + double func_cum_1 = 0.0; + double func_cum_2 = 0.0; + double func_val = 0.0; + int nonzero = 0; + int hot = 0; + const struct gcov_fn_info *gfi_ptr1 = gcov_info1->functions[f_ix]; + const struct gcov_fn_info *gfi_ptr2 = gcov_info2->functions[f_ix]; + + if (!gfi_ptr1 || gfi_ptr1->key != gcov_info1) + continue; + if (!gfi_ptr2 || gfi_ptr2->key != gcov_info2) + continue; + + const struct gcov_ctr_info *ci_ptr1 = gfi_ptr1->ctrs; + const struct gcov_ctr_info *ci_ptr2 = gfi_ptr2->ctrs; + for (t_ix = 0; t_ix < GCOV_COUNTERS_SUMMABLE; t_ix++) + { + unsigned c_num; + + if (!gcov_info1->merge[t_ix]) + continue; + + for (c_num = 0; c_num < ci_ptr1->num; c_num++) + { + if (ci_ptr1->values[c_num] | ci_ptr2->values[c_num]) + { + func_val += calculate_2_entries (ci_ptr1->values[c_num], + ci_ptr2->values[c_num], + sum_1, sum_2); + + func_cum_1 += ci_ptr1->values[c_num] / sum_1; + func_cum_2 += ci_ptr2->values[c_num] / sum_2; + nonzero = 1; + if (ci_ptr1->values[c_num] / sum_1 >= overlap_hot_threshold || + ci_ptr2->values[c_num] / sum_2 >= overlap_hot_threshold) + hot = 1; + } + } + ci_ptr1++; + ci_ptr2++; + } + ret += func_val; + cum_1 += func_cum_1; + cum_2 += func_cum_2; + if (overlap_func_level && nonzero && (!overlap_hot_only || hot)) + { + printf(" \tfunc_id=%10d \toverlap =%6.5f%% (%5.5f%% %5.5f%%)\n", + gfi_ptr1->ident, func_val*100, func_cum_1*100, func_cum_2*100); + } + } + *cum_1_result = cum_1; + *cum_2_result = cum_2; + return ret; +} + +/* Test if all counter values in this GCOV_INFO are cold. + "Cold" is defined as the counter value being less than + or equal to THRESHOLD. */ + +static bool +gcov_info_count_all_cold (const struct gcov_info *gcov_info, + gcov_type threshold) +{ + unsigned f_ix; + + for (f_ix = 0; f_ix < gcov_info->n_functions; f_ix++) + { + unsigned t_ix; + const struct gcov_fn_info *gfi_ptr = gcov_info->functions[f_ix]; + + if (!gfi_ptr || gfi_ptr->key != gcov_info) + continue; + const struct gcov_ctr_info *ci_ptr = gfi_ptr->ctrs; + for (t_ix = 0; t_ix < GCOV_COUNTERS_SUMMABLE; t_ix++) + { + unsigned c_num; + + if (!gcov_info->merge[t_ix]) + continue; + + for (c_num = 0; c_num < ci_ptr->num; c_num++) + { + if (ci_ptr->values[c_num] > threshold) + return false; + } + ci_ptr++; + } + } + + return true; +} + +/* Test if all counter values in this GCOV_INFO are 0. */ + +static bool +gcov_info_count_all_zero (const struct gcov_info *gcov_info) +{ + return gcov_info_count_all_cold (gcov_info, 0); +} + +/* A pair of matched GCOV_INFO. + The flag is a bitvector: + b0: obj1's all counts are 0; + b1: obj1's all counts are cold (but no 0); + b2: obj1 is hot; + b3: no obj1 to match obj2; + b4: obj2's all counts are 0; + b5: obj2's all counts are cold (but no 0); + b6: obj2 is hot; + b7: no obj2 to match obj1; + */ +struct overlap_t { + const struct gcov_info *obj1; + const struct gcov_info *obj2; + char flag; +}; + +#define FLAG_BOTH_ZERO(flag) ((flag & 0x1) && (flag & 0x10)) +#define FLAG_BOTH_COLD(flag) ((flag & 0x2) && (flag & 0x20)) +#define FLAG_ONE_HOT(flag) ((flag & 0x4) || (flag & 0x40)) + +/* Cumlative overlap dscore for profile1 and profile2. */ +static double overlap_sum_1, overlap_sum_2; + +/* sum_all for profile1 and profile2. */ +static gcov_type p1_sum_all, p2_sum_all; + +/* run_max for profile1 and profile2. */ +static gcov_type p1_run_max, p2_run_max; + +/* The number of gcda files in the profiles. */ +static unsigned gcda_files[2]; + +/* The number of unique gcda files in the profiles + (not existing in the other profile). */ +static unsigned unique_gcda_files[2]; + +/* The number of gcda files that all counter values are 0. */ +static unsigned zero_gcda_files[2]; + +/* The number of gcda files that all counter values are cold (but not 0). */ +static unsigned cold_gcda_files[2]; + +/* The number of gcda files that includes hot counter values. */ +static unsigned hot_gcda_files[2]; + +/* The number of gcda files with hot count value in either profiles. */ +static unsigned both_hot_cnt; + +/* The number of gcda files with all counts cold (but not 0) in + both profiles. */ +static unsigned both_cold_cnt; + +/* The number of gcda files with all counts 0 in both profiles. */ +static unsigned both_zero_cnt; + +/* Extract the basename of the filename NAME. */ + +static char * +extract_file_basename (const char *name) +{ + char *str; + int len = 0; + char *path = xstrdup (name); + char sep_str[2]; + + sep_str[0] = DIR_SEPARATOR; + sep_str[1] = 0; + str = strstr(path, sep_str); + do{ + len = strlen(str) + 1; + path = &path[strlen(path) - len + 2]; + str = strstr(path, sep_str); + } while(str); + + return path; +} + +/* Utility function to get the filename. */ + +static const char * +get_file_basename (const char *name) +{ + if (overlap_use_fullname) + return name; + return extract_file_basename (name); +} + +/* A utility function to set the flag for the gcda files. */ + +static void +set_flag (struct overlap_t *e) +{ + char flag = 0; + + if (!e->obj1) + { + unique_gcda_files[1]++; + flag = 0x8; + } + else + { + gcda_files[0]++; + if (gcov_info_count_all_zero (e->obj1)) + { + zero_gcda_files[0]++; + flag = 0x1; + } + else + if (gcov_info_count_all_cold (e->obj1, overlap_sum_1 + * overlap_hot_threshold)) + { + cold_gcda_files[0]++; + flag = 0x2; + } + else + { + hot_gcda_files[0]++; + flag = 0x4; + } + } + + if (!e->obj2) + { + unique_gcda_files[0]++; + flag |= (0x8 << 4); + } + else + { + gcda_files[1]++; + if (gcov_info_count_all_zero (e->obj2)) + { + zero_gcda_files[1]++; + flag |= (0x1 << 4); + } + else + if (gcov_info_count_all_cold (e->obj2, overlap_sum_2 + * overlap_hot_threshold)) + { + cold_gcda_files[1]++; + flag |= (0x2 << 4); + } + else + { + hot_gcda_files[1]++; + flag |= (0x4 << 4); + } + } + + gcc_assert (flag); + e->flag = flag; +} + +/* Test if INFO1 and INFO2 are from the matched source file. + Return 1 if they match; return 0 otherwise. */ + +static int +matched_gcov_info (const struct gcov_info *info1, const struct gcov_info *info2) +{ + /* For FDO, we have to match the name. This can be expensive. + Maybe we should use hash here. */ + if (strcmp (info1->filename, info2->filename)) + return 0; + + if (info1->n_functions != info2->n_functions) + { + fnotice (stderr, "mismatched profiles in %s (%d functions" + " vs %d functions)\n", + info1->filename, + info1->n_functions, + info2->n_functions); + return 0; + } + return 1; +} + +/* Defined in libgcov-driver.c. */ +extern gcov_unsigned_t compute_summary (struct gcov_info *, + struct gcov_summary *, size_t *); + +/* Compute the overlap score of two profiles with the head of GCOV_LIST1 and + GCOV_LIST1. Return a number ranging from [0.0, 1.0], with 0.0 meaning no + match and 1.0 meaning a perfect match. */ + +static double +calculate_overlap (struct gcov_info *gcov_list1, + struct gcov_info *gcov_list2) +{ + struct gcov_summary this_prg; + unsigned list1_cnt = 0, list2_cnt= 0, all_cnt; + unsigned int i, j; + size_t max_length; + const struct gcov_info *gi_ptr; + struct overlap_t *all_infos; + + compute_summary (gcov_list1, &this_prg, &max_length); + overlap_sum_1 = (double) (this_prg.ctrs[0].sum_all); + p1_sum_all = this_prg.ctrs[0].sum_all; + p1_run_max = this_prg.ctrs[0].run_max; + compute_summary (gcov_list2, &this_prg, &max_length); + overlap_sum_2 = (double) (this_prg.ctrs[0].sum_all); + p2_sum_all = this_prg.ctrs[0].sum_all; + p2_run_max = this_prg.ctrs[0].run_max; + + for (gi_ptr = gcov_list1; gi_ptr; gi_ptr = gi_ptr->next) + list1_cnt++; + for (gi_ptr = gcov_list2; gi_ptr; gi_ptr = gi_ptr->next) + list2_cnt++; + all_cnt = list1_cnt + list2_cnt; + all_infos = (struct overlap_t *) xmalloc (sizeof (struct overlap_t) + * all_cnt * 2); + gcc_assert (all_infos); + + i = 0; + for (gi_ptr = gcov_list1; gi_ptr; gi_ptr = gi_ptr->next, i++) + { + all_infos[i].obj1 = gi_ptr; + all_infos[i].obj2 = 0; + } + + for (gi_ptr = gcov_list2; gi_ptr; gi_ptr = gi_ptr->next, i++) + { + all_infos[i].obj1 = 0; + all_infos[i].obj2 = gi_ptr; + } + + for (i = list1_cnt; i < all_cnt; i++) + { + if (all_infos[i].obj2 == 0) + continue; + for (j = 0; j < list1_cnt; j++) + { + if (all_infos[j].obj2 != 0) + continue; + if (matched_gcov_info (all_infos[i].obj2, all_infos[j].obj1)) + { + all_infos[j].obj2 = all_infos[i].obj2; + all_infos[i].obj2 = 0; + break; + } + } + } + + for (i = 0; i < all_cnt; i++) + if (all_infos[i].obj1 || all_infos[i].obj2) + { + set_flag (all_infos + i); + if (FLAG_ONE_HOT (all_infos[i].flag)) + both_hot_cnt++; + if (FLAG_BOTH_COLD(all_infos[i].flag)) + both_cold_cnt++; + if (FLAG_BOTH_ZERO(all_infos[i].flag)) + both_zero_cnt++; + } + + double prg_val = 0; + double sum_val = 0; + double sum_cum_1 = 0; + double sum_cum_2 = 0; + + for (i = 0; i < all_cnt; i++) + { + double val; + double cum_1, cum_2; + const char *filename; + + if (all_infos[i].obj1 == 0 && all_infos[i].obj2 == 0) + continue; + if (FLAG_BOTH_ZERO (all_infos[i].flag)) + continue; + + if (all_infos[i].obj1) + filename = get_file_basename (all_infos[i].obj1->filename); + else + filename = get_file_basename (all_infos[i].obj2->filename); + + if (overlap_func_level) + printf("\n processing %36s:\n", filename); + + val = compute_one_gcov (all_infos[i].obj1, all_infos[i].obj2, + overlap_sum_1, overlap_sum_2, &cum_1, &cum_2); + + if (overlap_obj_level && (!overlap_hot_only || FLAG_ONE_HOT (all_infos[i].flag))) + { + printf(" obj=%36s overlap = %6.2f%% (%5.2f%% %5.2f%%)\n", + filename, val*100, cum_1*100, cum_2*100); + sum_val += val; + sum_cum_1 += cum_1; + sum_cum_2 += cum_2; + } + + prg_val += val; + + } + + if (overlap_obj_level) + printf(" SUM:%36s overlap = %6.2f%% (%5.2f%% %5.2f%%)\n", + "", sum_val*100, sum_cum_1*100, sum_cum_2*100); + + printf (" Statistics:\n" + " profile1_# profile2_# overlap_#\n"); + printf (" gcda files: %12u\t%12u\t%12u\n", gcda_files[0], gcda_files[1], + gcda_files[0]-unique_gcda_files[0]); + printf (" unique files: %12u\t%12u\n", unique_gcda_files[0], + unique_gcda_files[1]); + printf (" hot files: %12u\t%12u\t%12u\n", hot_gcda_files[0], + hot_gcda_files[1], both_hot_cnt); + printf (" cold files: %12u\t%12u\t%12u\n", cold_gcda_files[0], + cold_gcda_files[1], both_cold_cnt); + printf (" zero files: %12u\t%12u\t%12u\n", zero_gcda_files[0], + zero_gcda_files[1], both_zero_cnt); + printf (" sum_all: %12"PRId64"\t%12"PRId64"\n", p1_sum_all, p2_sum_all); + printf (" run_max: %12"PRId64"\t%12"PRId64"\n", p1_run_max, p2_run_max); + + return prg_val; +} + +/* Computer the overlap score of two lists of gcov_info objects PROFILE1 and PROFILE2. + Return 0 on success: without mismatch. Reutrn 1 on error. */ + +int +gcov_profile_overlap (struct gcov_info *profile1, struct gcov_info *profile2) +{ + double result; + + result = calculate_overlap (profile1, profile2); + + if (result > 0) + { + printf("\nProgram level overlap result is %3.2f%%\n\n", result*100); + return 0; + } + return 1; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/libgcov.h b/contrib/toolchain/gcc/5x/libgcc/libgcov.h new file mode 100644 index 0000000000..5f54907029 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/libgcov.h @@ -0,0 +1,346 @@ +/* Header file for libgcov-*.c. + Copyright (C) 1996-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it under + the terms of the GNU General Public License as published by the Free + Software Foundation; either version 3, or (at your option) any later + version. + + GCC is distributed in the hope that it will be useful, but WITHOUT ANY + WARRANTY; without even the implied warranty of MERCHANTABILITY or + FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#ifndef GCC_LIBGCOV_H +#define GCC_LIBGCOV_H + +/* work around the poisoned malloc/calloc in system.h. */ +#ifndef xmalloc +#define xmalloc malloc +#endif +#ifndef xcalloc +#define xcalloc calloc +#endif + +#ifndef IN_GCOV_TOOL +/* About the target. */ +/* This path will be used by libgcov runtime. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +#if BITS_PER_UNIT == 8 +typedef unsigned gcov_unsigned_t __attribute__ ((mode (SI))); +typedef unsigned gcov_position_t __attribute__ ((mode (SI))); +#if LONG_LONG_TYPE_SIZE > 32 +typedef signed gcov_type __attribute__ ((mode (DI))); +typedef unsigned gcov_type_unsigned __attribute__ ((mode (DI))); +#else +typedef signed gcov_type __attribute__ ((mode (SI))); +typedef unsigned gcov_type_unsigned __attribute__ ((mode (SI))); +#endif +#else +#if BITS_PER_UNIT == 16 +typedef unsigned gcov_unsigned_t __attribute__ ((mode (HI))); +typedef unsigned gcov_position_t __attribute__ ((mode (HI))); +#if LONG_LONG_TYPE_SIZE > 32 +typedef signed gcov_type __attribute__ ((mode (SI))); +typedef unsigned gcov_type_unsigned __attribute__ ((mode (SI))); +#else +typedef signed gcov_type __attribute__ ((mode (HI))); +typedef unsigned gcov_type_unsigned __attribute__ ((mode (HI))); +#endif +#else +typedef unsigned gcov_unsigned_t __attribute__ ((mode (QI))); +typedef unsigned gcov_position_t __attribute__ ((mode (QI))); +#if LONG_LONG_TYPE_SIZE > 32 +typedef signed gcov_type __attribute__ ((mode (HI))); +typedef unsigned gcov_type_unsigned __attribute__ ((mode (HI))); +#else +typedef signed gcov_type __attribute__ ((mode (QI))); +typedef unsigned gcov_type_unsigned __attribute__ ((mode (QI))); +#endif +#endif +#endif + +#if defined (TARGET_POSIX_IO) +#define GCOV_LOCKED 1 +#else +#define GCOV_LOCKED 0 +#endif + +/* In libgcov we need these functions to be extern, so prefix them with + __gcov. In libgcov they must also be hidden so that the instance in + the executable is not also used in a DSO. */ +#define gcov_var __gcov_var +#define gcov_open __gcov_open +#define gcov_close __gcov_close +#define gcov_write_tag_length __gcov_write_tag_length +#define gcov_position __gcov_position +#define gcov_seek __gcov_seek +#define gcov_rewrite __gcov_rewrite +#define gcov_is_error __gcov_is_error +#define gcov_write_unsigned __gcov_write_unsigned +#define gcov_write_counter __gcov_write_counter +#define gcov_write_summary __gcov_write_summary +#define gcov_read_unsigned __gcov_read_unsigned +#define gcov_read_counter __gcov_read_counter +#define gcov_read_summary __gcov_read_summary +#define gcov_sort_n_vals __gcov_sort_n_vals + +#else /* IN_GCOV_TOOL */ +/* About the host. */ +/* This path will be compiled for the host and linked into + gcov-tool binary. */ + +#include "config.h" +#include "system.h" +#include "coretypes.h" +#include "tm.h" + +typedef unsigned gcov_unsigned_t; +typedef unsigned gcov_position_t; +/* gcov_type is typedef'd elsewhere for the compiler */ +#if defined (HOST_HAS_F_SETLKW) +#define GCOV_LOCKED 1 +#else +#define GCOV_LOCKED 0 +#endif + +/* Some Macros specific to gcov-tool. */ + +#define L_gcov 1 +#define L_gcov_merge_add 1 +#define L_gcov_merge_single 1 +#define L_gcov_merge_delta 1 +#define L_gcov_merge_ior 1 +#define L_gcov_merge_time_profile 1 +#define L_gcov_merge_icall_topn 1 + +extern gcov_type gcov_read_counter_mem (); +extern unsigned gcov_get_merge_weight (); +extern struct gcov_info *gcov_list; + +#endif /* !IN_GCOV_TOOL */ + +#if defined(inhibit_libc) +#define IN_LIBGCOV (-1) +#else +#define IN_LIBGCOV 1 +#if defined(L_gcov) +#define GCOV_LINKAGE /* nothing */ +#endif +#endif + +/* Poison these, so they don't accidentally slip in. */ +#pragma GCC poison gcov_write_string gcov_write_tag gcov_write_length +#pragma GCC poison gcov_time gcov_magic + +#ifdef HAVE_GAS_HIDDEN +#define ATTRIBUTE_HIDDEN __attribute__ ((__visibility__ ("hidden"))) +#else +#define ATTRIBUTE_HIDDEN +#endif + +#include "gcov-io.h" + +/* Structures embedded in coveraged program. The structures generated + by write_profile must match these. */ + +/* Information about counters for a single function. */ +struct gcov_ctr_info +{ + gcov_unsigned_t num; /* number of counters. */ + gcov_type *values; /* their values. */ +}; + +/* Information about a single function. This uses the trailing array + idiom. The number of counters is determined from the merge pointer + array in gcov_info. The key is used to detect which of a set of + comdat functions was selected -- it points to the gcov_info object + of the object file containing the selected comdat function. */ + +struct gcov_fn_info +{ + const struct gcov_info *key; /* comdat key */ + gcov_unsigned_t ident; /* unique ident of function */ + gcov_unsigned_t lineno_checksum; /* function lineo_checksum */ + gcov_unsigned_t cfg_checksum; /* function cfg checksum */ + struct gcov_ctr_info ctrs[1]; /* instrumented counters */ +}; + +/* Type of function used to merge counters. */ +typedef void (*gcov_merge_fn) (gcov_type *, gcov_unsigned_t); + +/* Information about a single object file. */ +struct gcov_info +{ + gcov_unsigned_t version; /* expected version number */ + struct gcov_info *next; /* link to next, used by libgcov */ + + gcov_unsigned_t stamp; /* uniquifying time stamp */ + const char *filename; /* output file name */ + + gcov_merge_fn merge[GCOV_COUNTERS]; /* merge functions (null for + unused) */ + + unsigned n_functions; /* number of functions */ + +#ifndef IN_GCOV_TOOL + const struct gcov_fn_info *const *functions; /* pointer to pointers + to function information */ +#else + const struct gcov_fn_info **functions; +#endif /* !IN_GCOV_TOOL */ +}; + +/* Root of a program/shared-object state */ +struct gcov_root +{ + struct gcov_info *list; + unsigned dumped : 1; /* counts have been dumped. */ + unsigned run_counted : 1; /* run has been accounted for. */ + struct gcov_root *next; + struct gcov_root *prev; +}; + +extern struct gcov_root __gcov_root ATTRIBUTE_HIDDEN; + +struct gcov_master +{ + gcov_unsigned_t version; + struct gcov_root *root; +}; + +/* Exactly one of these will be active in the process. */ +extern struct gcov_master __gcov_master; + +/* Dump a set of gcov objects. */ +extern void __gcov_dump_one (struct gcov_root *) ATTRIBUTE_HIDDEN; + +/* Register a new object file module. */ +extern void __gcov_init (struct gcov_info *) ATTRIBUTE_HIDDEN; + +/* Called before fork, to avoid double counting. */ +extern void __gcov_flush (void) ATTRIBUTE_HIDDEN; + +/* Function to reset all counters to 0. Both externally visible (and + overridable) and internal version. */ +extern void __gcov_reset (void); +extern void __gcov_reset_int (void) ATTRIBUTE_HIDDEN; + +/* User function to enable early write of profile information so far. */ +extern void __gcov_dump (void); +extern void __gcov_dump_int (void) ATTRIBUTE_HIDDEN; + +/* The merge function that just sums the counters. */ +extern void __gcov_merge_add (gcov_type *, unsigned) ATTRIBUTE_HIDDEN; + +/* The merge function to select the minimum valid counter value. */ +extern void __gcov_merge_time_profile (gcov_type *, unsigned) ATTRIBUTE_HIDDEN; + +/* The merge function to choose the most common value. */ +extern void __gcov_merge_single (gcov_type *, unsigned) ATTRIBUTE_HIDDEN; + +/* The merge function to choose the most common difference between + consecutive values. */ +extern void __gcov_merge_delta (gcov_type *, unsigned) ATTRIBUTE_HIDDEN; + +/* The merge function that just ors the counters together. */ +extern void __gcov_merge_ior (gcov_type *, unsigned) ATTRIBUTE_HIDDEN; + +/* The merge function is used for topn indirect call counters. */ +extern void __gcov_merge_icall_topn (gcov_type *, unsigned) ATTRIBUTE_HIDDEN; + +/* The profiler functions. */ +extern void __gcov_interval_profiler (gcov_type *, gcov_type, int, unsigned); +extern void __gcov_pow2_profiler (gcov_type *, gcov_type); +extern void __gcov_one_value_profiler (gcov_type *, gcov_type); +extern void __gcov_indirect_call_profiler (gcov_type*, gcov_type, + void*, void*); +extern void __gcov_indirect_call_profiler_v2 (gcov_type, void *); +extern void __gcov_time_profiler (gcov_type *); +extern void __gcov_average_profiler (gcov_type *, gcov_type); +extern void __gcov_ior_profiler (gcov_type *, gcov_type); +extern void __gcov_indirect_call_topn_profiler (gcov_type, void *); +extern void gcov_sort_n_vals (gcov_type *, int); + +#ifndef inhibit_libc +/* The wrappers around some library functions.. */ +extern pid_t __gcov_fork (void) ATTRIBUTE_HIDDEN; +extern int __gcov_execl (const char *, char *, ...) ATTRIBUTE_HIDDEN; +extern int __gcov_execlp (const char *, char *, ...) ATTRIBUTE_HIDDEN; +extern int __gcov_execle (const char *, char *, ...) ATTRIBUTE_HIDDEN; +extern int __gcov_execv (const char *, char *const []) ATTRIBUTE_HIDDEN; +extern int __gcov_execvp (const char *, char *const []) ATTRIBUTE_HIDDEN; +extern int __gcov_execve (const char *, char *const [], char *const []) + ATTRIBUTE_HIDDEN; + +/* Functions that only available in libgcov. */ +GCOV_LINKAGE int gcov_open (const char */*name*/) ATTRIBUTE_HIDDEN; +GCOV_LINKAGE void gcov_write_counter (gcov_type) ATTRIBUTE_HIDDEN; +GCOV_LINKAGE void gcov_write_tag_length (gcov_unsigned_t, gcov_unsigned_t) + ATTRIBUTE_HIDDEN; +GCOV_LINKAGE void gcov_write_summary (gcov_unsigned_t /*tag*/, + const struct gcov_summary *) + ATTRIBUTE_HIDDEN; +GCOV_LINKAGE void gcov_seek (gcov_position_t /*position*/) ATTRIBUTE_HIDDEN; +GCOV_LINKAGE void gcov_rewrite (void) ATTRIBUTE_HIDDEN; + +/* "Counts" stored in gcda files can be a real counter value, or + an target address. When differentiate these two types because + when manipulating counts, we should only change real counter values, + rather target addresses. */ + +static inline gcov_type +gcov_get_counter (void) +{ +#ifndef IN_GCOV_TOOL + /* This version is for reading count values in libgcov runtime: + we read from gcda files. */ + + return gcov_read_counter (); +#else + /* This version is for gcov-tool. We read the value from memory and + multiply it by the merge weight. */ + + return gcov_read_counter_mem () * gcov_get_merge_weight (); +#endif +} + +/* Similar function as gcov_get_counter(), but handles target address + counters. */ + +static inline gcov_type +gcov_get_counter_target (void) +{ +#ifndef IN_GCOV_TOOL + /* This version is for reading count target values in libgcov runtime: + we read from gcda files. */ + + return gcov_read_counter (); +#else + /* This version is for gcov-tool. We read the value from memory and we do NOT + multiply it by the merge weight. */ + + return gcov_read_counter_mem (); +#endif +} + +#endif /* !inhibit_libc */ + +#endif /* GCC_LIBGCOV_H */ diff --git a/contrib/toolchain/gcc/5x/libgcc/memcmp.c b/contrib/toolchain/gcc/5x/libgcc/memcmp.c new file mode 100644 index 0000000000..2348afe1d2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/memcmp.c @@ -0,0 +1,16 @@ +/* Public domain. */ +#include + +int +memcmp (const void *str1, const void *str2, size_t count) +{ + const unsigned char *s1 = str1; + const unsigned char *s2 = str2; + + while (count-- > 0) + { + if (*s1++ != *s2++) + return s1[-1] < s2[-1] ? -1 : 1; + } + return 0; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/memcpy.c b/contrib/toolchain/gcc/5x/libgcc/memcpy.c new file mode 100644 index 0000000000..58b1e40562 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/memcpy.c @@ -0,0 +1,12 @@ +/* Public domain. */ +#include + +void * +memcpy (void *dest, const void *src, size_t len) +{ + char *d = dest; + const char *s = src; + while (len--) + *d++ = *s++; + return dest; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/memmove.c b/contrib/toolchain/gcc/5x/libgcc/memmove.c new file mode 100644 index 0000000000..13b340af6a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/memmove.c @@ -0,0 +1,20 @@ +/* Public domain. */ +#include + +void * +memmove (void *dest, const void *src, size_t len) +{ + char *d = dest; + const char *s = src; + if (d < s) + while (len--) + *d++ = *s++; + else + { + char *lasts = s + (len-1); + char *lastd = d + (len-1); + while (len--) + *lastd-- = *lasts--; + } + return dest; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/memset.c b/contrib/toolchain/gcc/5x/libgcc/memset.c new file mode 100644 index 0000000000..3e7025ee39 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/memset.c @@ -0,0 +1,11 @@ +/* Public domain. */ +#include + +void * +memset (void *dest, int val, size_t len) +{ + unsigned char *ptr = dest; + while (len-- > 0) + *ptr++ = val; + return dest; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/offloadstuff.c b/contrib/toolchain/gcc/5x/libgcc/offloadstuff.c new file mode 100644 index 0000000000..0d6ef2336b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/offloadstuff.c @@ -0,0 +1,80 @@ +/* Specialized bits of code needed for the offloading tables. + Copyright (C) 2014-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* Target machine header files require this define. */ +#define IN_LIBGCC2 + +/* FIXME: Including auto-host is incorrect, but until we have + identified the set of defines that need to go into auto-target.h, + this will have to do. */ +#include "auto-host.h" +#undef caddr_t +#undef pid_t +#undef rlim_t +#undef ssize_t +#undef vfork +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" + +#define OFFLOAD_FUNC_TABLE_SECTION_NAME ".gnu.offload_funcs" +#define OFFLOAD_VAR_TABLE_SECTION_NAME ".gnu.offload_vars" + +#ifdef CRT_BEGIN + +#if defined(HAVE_GAS_HIDDEN) && defined(ENABLE_OFFLOADING) +void *__offload_func_table[0] + __attribute__ ((__used__, visibility ("hidden"), + section (OFFLOAD_FUNC_TABLE_SECTION_NAME))) = { }; +void *__offload_var_table[0] + __attribute__ ((__used__, visibility ("hidden"), + section (OFFLOAD_VAR_TABLE_SECTION_NAME))) = { }; +#endif + +#elif defined CRT_END + +#if defined(HAVE_GAS_HIDDEN) && defined(ENABLE_OFFLOADING) +void *__offload_funcs_end[0] + __attribute__ ((__used__, visibility ("hidden"), + section (OFFLOAD_FUNC_TABLE_SECTION_NAME))) = { }; +void *__offload_vars_end[0] + __attribute__ ((__used__, visibility ("hidden"), + section (OFFLOAD_VAR_TABLE_SECTION_NAME))) = { }; + +extern void *__offload_func_table[]; +extern void *__offload_var_table[]; + +void *__OFFLOAD_TABLE__[] + __attribute__ ((__visibility__ ("hidden"))) = +{ + &__offload_func_table, &__offload_funcs_end, + &__offload_var_table, &__offload_vars_end +}; +#endif + +#else /* ! CRT_BEGIN && ! CRT_END */ +#error "One of CRT_BEGIN or CRT_END must be defined." +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/README b/contrib/toolchain/gcc/5x/libgcc/soft-fp/README new file mode 100644 index 0000000000..d60e88b7fe --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/README @@ -0,0 +1,4 @@ +The files in this directory are part of the GNU C Library, not part of +GCC. As described at , +changes should be made to the GNU C Library and the changed files then +imported into GCC. diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/adddf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/adddf3.c new file mode 100644 index 0000000000..95bc8e56b0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/adddf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a + b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__adddf3 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + FP_DECL_D (R); + DFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_D (A, a); + FP_UNPACK_SEMIRAW_D (B, b); + FP_ADD_D (R, A, B); + FP_PACK_SEMIRAW_D (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/addsf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/addsf3.c new file mode 100644 index 0000000000..b332589d08 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/addsf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a + b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__addsf3 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + FP_DECL_S (R); + SFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_S (A, a); + FP_UNPACK_SEMIRAW_S (B, b); + FP_ADD_S (R, A, B); + FP_PACK_SEMIRAW_S (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/addtf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/addtf3.c new file mode 100644 index 0000000000..ac0d9481fe --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/addtf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a + b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__addtf3 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_Q (A, a); + FP_UNPACK_SEMIRAW_Q (B, b); + FP_ADD_Q (R, A, B); + FP_PACK_SEMIRAW_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/divdf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/divdf3.c new file mode 100644 index 0000000000..f59da8216b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/divdf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a / b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__divdf3 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + FP_DECL_D (R); + DFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_D (A, a); + FP_UNPACK_D (B, b); + FP_DIV_D (R, A, B); + FP_PACK_D (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/divsf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/divsf3.c new file mode 100644 index 0000000000..794192825b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/divsf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a / b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__divsf3 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + FP_DECL_S (R); + SFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_S (A, a); + FP_UNPACK_S (B, b); + FP_DIV_S (R, A, B); + FP_PACK_S (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/divtf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/divtf3.c new file mode 100644 index 0000000000..621f70d99f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/divtf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a / b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__divtf3 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_Q (A, a); + FP_UNPACK_Q (B, b); + FP_DIV_Q (R, A, B); + FP_PACK_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/double.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/double.h new file mode 100644 index 0000000000..36a11a5452 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/double.h @@ -0,0 +1,314 @@ +/* Software floating-point emulation. + Definitions for IEEE Double Precision + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#if _FP_W_TYPE_SIZE < 32 +# error "Here's a nickel kid. Go buy yourself a real computer." +#endif + +#if _FP_W_TYPE_SIZE < 64 +# define _FP_FRACTBITS_D (2 * _FP_W_TYPE_SIZE) +# define _FP_FRACTBITS_DW_D (4 * _FP_W_TYPE_SIZE) +#else +# define _FP_FRACTBITS_D _FP_W_TYPE_SIZE +# define _FP_FRACTBITS_DW_D (2 * _FP_W_TYPE_SIZE) +#endif + +#define _FP_FRACBITS_D 53 +#define _FP_FRACXBITS_D (_FP_FRACTBITS_D - _FP_FRACBITS_D) +#define _FP_WFRACBITS_D (_FP_WORKBITS + _FP_FRACBITS_D) +#define _FP_WFRACXBITS_D (_FP_FRACTBITS_D - _FP_WFRACBITS_D) +#define _FP_EXPBITS_D 11 +#define _FP_EXPBIAS_D 1023 +#define _FP_EXPMAX_D 2047 + +#define _FP_QNANBIT_D \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2) % _FP_W_TYPE_SIZE) +#define _FP_QNANBIT_SH_D \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_D \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_SH_D \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_D-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE) +#define _FP_OVERFLOW_D \ + ((_FP_W_TYPE) 1 << _FP_WFRACBITS_D % _FP_W_TYPE_SIZE) + +#define _FP_WFRACBITS_DW_D (2 * _FP_WFRACBITS_D) +#define _FP_WFRACXBITS_DW_D (_FP_FRACTBITS_DW_D - _FP_WFRACBITS_DW_D) +#define _FP_HIGHBIT_DW_D \ + ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_D - 1) % _FP_W_TYPE_SIZE) + +typedef float DFtype __attribute__ ((mode (DF))); + +#if _FP_W_TYPE_SIZE < 64 + +union _FP_UNION_D +{ + DFtype flt; + struct _FP_STRUCT_LAYOUT + { +# if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_D; + unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; + unsigned frac0 : _FP_W_TYPE_SIZE; +# else + unsigned frac0 : _FP_W_TYPE_SIZE; + unsigned frac1 : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0) - _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_D; + unsigned sign : 1; +# endif + } bits __attribute__ ((packed)); +}; + +# define FP_DECL_D(X) _FP_DECL (2, X) +# define FP_UNPACK_RAW_D(X, val) _FP_UNPACK_RAW_2 (D, X, (val)) +# define FP_UNPACK_RAW_DP(X, val) _FP_UNPACK_RAW_2_P (D, X, (val)) +# define FP_PACK_RAW_D(val, X) _FP_PACK_RAW_2 (D, (val), X) +# define FP_PACK_RAW_DP(val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P (D, (val), X); \ + } \ + while (0) + +# define FP_UNPACK_D(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2 (D, X, (val)); \ + _FP_UNPACK_CANONICAL (D, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_DP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2_P (D, X, (val)); \ + _FP_UNPACK_CANONICAL (D, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_D(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2 (D, X, (val)); \ + _FP_UNPACK_SEMIRAW (D, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_DP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2_P (D, X, (val)); \ + _FP_UNPACK_SEMIRAW (D, 2, X); \ + } \ + while (0) + +# define FP_PACK_D(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (D, 2, X); \ + _FP_PACK_RAW_2 (D, (val), X); \ + } \ + while (0) + +# define FP_PACK_DP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (D, 2, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P (D, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_D(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (D, 2, X); \ + _FP_PACK_RAW_2 (D, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_DP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (D, 2, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P (D, (val), X); \ + } \ + while (0) + +# define FP_ISSIGNAN_D(X) _FP_ISSIGNAN (D, 2, X) +# define FP_NEG_D(R, X) _FP_NEG (D, 2, R, X) +# define FP_ADD_D(R, X, Y) _FP_ADD (D, 2, R, X, Y) +# define FP_SUB_D(R, X, Y) _FP_SUB (D, 2, R, X, Y) +# define FP_MUL_D(R, X, Y) _FP_MUL (D, 2, R, X, Y) +# define FP_DIV_D(R, X, Y) _FP_DIV (D, 2, R, X, Y) +# define FP_SQRT_D(R, X) _FP_SQRT (D, 2, R, X) +# define _FP_SQRT_MEAT_D(R, S, T, X, Q) _FP_SQRT_MEAT_2 (R, S, T, X, (Q)) +# define FP_FMA_D(R, X, Y, Z) _FP_FMA (D, 2, 4, R, X, Y, Z) + +# define FP_CMP_D(r, X, Y, un, ex) _FP_CMP (D, 2, (r), X, Y, (un), (ex)) +# define FP_CMP_EQ_D(r, X, Y, ex) _FP_CMP_EQ (D, 2, (r), X, Y, (ex)) +# define FP_CMP_UNORD_D(r, X, Y, ex) _FP_CMP_UNORD (D, 2, (r), X, Y, (ex)) + +# define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (D, 2, (r), X, (rsz), (rsg)) +# define FP_FROM_INT_D(X, r, rs, rt) _FP_FROM_INT (D, 2, X, (r), (rs), rt) + +# define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_2 (X) +# define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_2 (X) + +# define _FP_FRAC_HIGH_DW_D(X) _FP_FRAC_HIGH_4 (X) + +#else + +union _FP_UNION_D +{ + DFtype flt; + struct _FP_STRUCT_LAYOUT + { +# if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_D; + _FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); +# else + _FP_W_TYPE frac : _FP_FRACBITS_D - (_FP_IMPLBIT_D != 0); + unsigned exp : _FP_EXPBITS_D; + unsigned sign : 1; +# endif + } bits __attribute__ ((packed)); +}; + +# define FP_DECL_D(X) _FP_DECL (1, X) +# define FP_UNPACK_RAW_D(X, val) _FP_UNPACK_RAW_1 (D, X, (val)) +# define FP_UNPACK_RAW_DP(X, val) _FP_UNPACK_RAW_1_P (D, X, (val)) +# define FP_PACK_RAW_D(val, X) _FP_PACK_RAW_1 (D, (val), X) +# define FP_PACK_RAW_DP(val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P (D, (val), X); \ + } \ + while (0) + +# define FP_UNPACK_D(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1 (D, X, (val)); \ + _FP_UNPACK_CANONICAL (D, 1, X); \ + } \ + while (0) + +# define FP_UNPACK_DP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1_P (D, X, (val)); \ + _FP_UNPACK_CANONICAL (D, 1, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_D(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1 (D, X, (val)); \ + _FP_UNPACK_SEMIRAW (D, 1, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_DP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1_P (D, X, (val)); \ + _FP_UNPACK_SEMIRAW (D, 1, X); \ + } \ + while (0) + +# define FP_PACK_D(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (D, 1, X); \ + _FP_PACK_RAW_1 (D, (val), X); \ + } \ + while (0) + +# define FP_PACK_DP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (D, 1, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P (D, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_D(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (D, 1, X); \ + _FP_PACK_RAW_1 (D, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_DP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (D, 1, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P (D, (val), X); \ + } \ + while (0) + +# define FP_ISSIGNAN_D(X) _FP_ISSIGNAN (D, 1, X) +# define FP_NEG_D(R, X) _FP_NEG (D, 1, R, X) +# define FP_ADD_D(R, X, Y) _FP_ADD (D, 1, R, X, Y) +# define FP_SUB_D(R, X, Y) _FP_SUB (D, 1, R, X, Y) +# define FP_MUL_D(R, X, Y) _FP_MUL (D, 1, R, X, Y) +# define FP_DIV_D(R, X, Y) _FP_DIV (D, 1, R, X, Y) +# define FP_SQRT_D(R, X) _FP_SQRT (D, 1, R, X) +# define _FP_SQRT_MEAT_D(R, S, T, X, Q) _FP_SQRT_MEAT_1 (R, S, T, X, (Q)) +# define FP_FMA_D(R, X, Y, Z) _FP_FMA (D, 1, 2, R, X, Y, Z) + +/* The implementation of _FP_MUL_D and _FP_DIV_D should be chosen by + the target machine. */ + +# define FP_CMP_D(r, X, Y, un, ex) _FP_CMP (D, 1, (r), X, Y, (un), (ex)) +# define FP_CMP_EQ_D(r, X, Y, ex) _FP_CMP_EQ (D, 1, (r), X, Y, (ex)) +# define FP_CMP_UNORD_D(r, X, Y, ex) _FP_CMP_UNORD (D, 1, (r), X, Y, (ex)) + +# define FP_TO_INT_D(r, X, rsz, rsg) _FP_TO_INT (D, 1, (r), X, (rsz), (rsg)) +# define FP_FROM_INT_D(X, r, rs, rt) _FP_FROM_INT (D, 1, X, (r), (rs), rt) + +# define _FP_FRAC_HIGH_D(X) _FP_FRAC_HIGH_1 (X) +# define _FP_FRAC_HIGH_RAW_D(X) _FP_FRAC_HIGH_1 (X) + +# define _FP_FRAC_HIGH_DW_D(X) _FP_FRAC_HIGH_2 (X) + +#endif /* W_TYPE_SIZE < 64 */ diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqdf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqdf2.c new file mode 100644 index 0000000000..e8ce12d0aa --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqdf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 otherwise + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +CMPtype +__eqdf2 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_UNPACK_RAW_D (B, b); + FP_CMP_EQ_D (r, A, B, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__eqdf2, __nedf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqsf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqsf2.c new file mode 100644 index 0000000000..2ee837d847 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqsf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 otherwise + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +CMPtype +__eqsf2 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_UNPACK_RAW_S (B, b); + FP_CMP_EQ_S (r, A, B, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__eqsf2, __nesf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqtf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqtf2.c new file mode 100644 index 0000000000..17b9d40a05 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/eqtf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 otherwise + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +CMPtype +__eqtf2 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_UNPACK_RAW_Q (B, b); + FP_CMP_EQ_Q (r, A, B, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__eqtf2, __netf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/extenddftf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extenddftf2.c new file mode 100644 index 0000000000..17655326d8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extenddftf2.c @@ -0,0 +1,55 @@ +/* Software floating-point emulation. + Return a converted to IEEE quad + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXACT_UNDERFLOW +#include "soft-fp.h" +#include "double.h" +#include "quad.h" + +TFtype +__extenddftf2 (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); +#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q + FP_EXTEND (Q, D, 4, 2, R, A); +#else + FP_EXTEND (Q, D, 2, 1, R, A); +#endif + FP_PACK_RAW_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/extended.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extended.h new file mode 100644 index 0000000000..d16fa66174 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extended.h @@ -0,0 +1,504 @@ +/* Software floating-point emulation. + Definitions for IEEE Extended Precision. + Copyright (C) 1999-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#if _FP_W_TYPE_SIZE < 32 +# error "Here's a nickel, kid. Go buy yourself a real computer." +#endif + +#if _FP_W_TYPE_SIZE < 64 +# define _FP_FRACTBITS_E (4*_FP_W_TYPE_SIZE) +# define _FP_FRACTBITS_DW_E (8*_FP_W_TYPE_SIZE) +#else +# define _FP_FRACTBITS_E (2*_FP_W_TYPE_SIZE) +# define _FP_FRACTBITS_DW_E (4*_FP_W_TYPE_SIZE) +#endif + +#define _FP_FRACBITS_E 64 +#define _FP_FRACXBITS_E (_FP_FRACTBITS_E - _FP_FRACBITS_E) +#define _FP_WFRACBITS_E (_FP_WORKBITS + _FP_FRACBITS_E) +#define _FP_WFRACXBITS_E (_FP_FRACTBITS_E - _FP_WFRACBITS_E) +#define _FP_EXPBITS_E 15 +#define _FP_EXPBIAS_E 16383 +#define _FP_EXPMAX_E 32767 + +#define _FP_QNANBIT_E \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-2) % _FP_W_TYPE_SIZE) +#define _FP_QNANBIT_SH_E \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_E \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-1) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_SH_E \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_E-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE) +#define _FP_OVERFLOW_E \ + ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_E % _FP_W_TYPE_SIZE)) + +#define _FP_WFRACBITS_DW_E (2 * _FP_WFRACBITS_E) +#define _FP_WFRACXBITS_DW_E (_FP_FRACTBITS_DW_E - _FP_WFRACBITS_DW_E) +#define _FP_HIGHBIT_DW_E \ + ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_E - 1) % _FP_W_TYPE_SIZE) + +typedef float XFtype __attribute__ ((mode (XF))); + +#if _FP_W_TYPE_SIZE < 64 + +union _FP_UNION_E +{ + XFtype flt; + struct _FP_STRUCT_LAYOUT + { +# if __BYTE_ORDER == __BIG_ENDIAN + unsigned long pad1 : _FP_W_TYPE_SIZE; + unsigned long pad2 : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); + unsigned long sign : 1; + unsigned long exp : _FP_EXPBITS_E; + unsigned long frac1 : _FP_W_TYPE_SIZE; + unsigned long frac0 : _FP_W_TYPE_SIZE; +# else + unsigned long frac0 : _FP_W_TYPE_SIZE; + unsigned long frac1 : _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_E; + unsigned sign : 1; +# endif /* not bigendian */ + } bits __attribute__ ((packed)); +}; + + +# define FP_DECL_E(X) _FP_DECL (4, X) + +# define FP_UNPACK_RAW_E(X, val) \ + do \ + { \ + union _FP_UNION_E FP_UNPACK_RAW_E_flo; \ + FP_UNPACK_RAW_E_flo.flt = (val); \ + \ + X##_f[2] = 0; \ + X##_f[3] = 0; \ + X##_f[0] = FP_UNPACK_RAW_E_flo.bits.frac0; \ + X##_f[1] = FP_UNPACK_RAW_E_flo.bits.frac1; \ + X##_e = FP_UNPACK_RAW_E_flo.bits.exp; \ + X##_s = FP_UNPACK_RAW_E_flo.bits.sign; \ + } \ + while (0) + +# define FP_UNPACK_RAW_EP(X, val) \ + do \ + { \ + union _FP_UNION_E *FP_UNPACK_RAW_EP_flo \ + = (union _FP_UNION_E *) (val); \ + \ + X##_f[2] = 0; \ + X##_f[3] = 0; \ + X##_f[0] = FP_UNPACK_RAW_EP_flo->bits.frac0; \ + X##_f[1] = FP_UNPACK_RAW_EP_flo->bits.frac1; \ + X##_e = FP_UNPACK_RAW_EP_flo->bits.exp; \ + X##_s = FP_UNPACK_RAW_EP_flo->bits.sign; \ + } \ + while (0) + +# define FP_PACK_RAW_E(val, X) \ + do \ + { \ + union _FP_UNION_E FP_PACK_RAW_E_flo; \ + \ + if (X##_e) \ + X##_f[1] |= _FP_IMPLBIT_E; \ + else \ + X##_f[1] &= ~(_FP_IMPLBIT_E); \ + FP_PACK_RAW_E_flo.bits.frac0 = X##_f[0]; \ + FP_PACK_RAW_E_flo.bits.frac1 = X##_f[1]; \ + FP_PACK_RAW_E_flo.bits.exp = X##_e; \ + FP_PACK_RAW_E_flo.bits.sign = X##_s; \ + \ + (val) = FP_PACK_RAW_E_flo.flt; \ + } \ + while (0) + +# define FP_PACK_RAW_EP(val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + { \ + union _FP_UNION_E *FP_PACK_RAW_EP_flo \ + = (union _FP_UNION_E *) (val); \ + \ + if (X##_e) \ + X##_f[1] |= _FP_IMPLBIT_E; \ + else \ + X##_f[1] &= ~(_FP_IMPLBIT_E); \ + FP_PACK_RAW_EP_flo->bits.frac0 = X##_f[0]; \ + FP_PACK_RAW_EP_flo->bits.frac1 = X##_f[1]; \ + FP_PACK_RAW_EP_flo->bits.exp = X##_e; \ + FP_PACK_RAW_EP_flo->bits.sign = X##_s; \ + } \ + } \ + while (0) + +# define FP_UNPACK_E(X, val) \ + do \ + { \ + FP_UNPACK_RAW_E (X, (val)); \ + _FP_UNPACK_CANONICAL (E, 4, X); \ + } \ + while (0) + +# define FP_UNPACK_EP(X, val) \ + do \ + { \ + FP_UNPACK_RAW_EP (X, (val)); \ + _FP_UNPACK_CANONICAL (E, 4, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_E(X, val) \ + do \ + { \ + FP_UNPACK_RAW_E (X, (val)); \ + _FP_UNPACK_SEMIRAW (E, 4, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_EP(X, val) \ + do \ + { \ + FP_UNPACK_RAW_EP (X, (val)); \ + _FP_UNPACK_SEMIRAW (E, 4, X); \ + } \ + while (0) + +# define FP_PACK_E(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (E, 4, X); \ + FP_PACK_RAW_E ((val), X); \ + } \ + while (0) + +# define FP_PACK_EP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (E, 4, X); \ + FP_PACK_RAW_EP ((val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_E(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (E, 4, X); \ + FP_PACK_RAW_E ((val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_EP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (E, 4, X); \ + FP_PACK_RAW_EP ((val), X); \ + } \ + while (0) + +# define FP_ISSIGNAN_E(X) _FP_ISSIGNAN (E, 4, X) +# define FP_NEG_E(R, X) _FP_NEG (E, 4, R, X) +# define FP_ADD_E(R, X, Y) _FP_ADD (E, 4, R, X, Y) +# define FP_SUB_E(R, X, Y) _FP_SUB (E, 4, R, X, Y) +# define FP_MUL_E(R, X, Y) _FP_MUL (E, 4, R, X, Y) +# define FP_DIV_E(R, X, Y) _FP_DIV (E, 4, R, X, Y) +# define FP_SQRT_E(R, X) _FP_SQRT (E, 4, R, X) +# define FP_FMA_E(R, X, Y, Z) _FP_FMA (E, 4, 8, R, X, Y, Z) + +/* Square root algorithms: + We have just one right now, maybe Newton approximation + should be added for those machines where division is fast. + This has special _E version because standard _4 square + root would not work (it has to start normally with the + second word and not the first), but as we have to do it + anyway, we optimize it by doing most of the calculations + in two UWtype registers instead of four. */ + +# define _FP_SQRT_MEAT_E(R, S, T, X, q) \ + do \ + { \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_4 (X, (_FP_WORKBITS)); \ + while (q) \ + { \ + T##_f[1] = S##_f[1] + (q); \ + if (T##_f[1] <= X##_f[1]) \ + { \ + S##_f[1] = T##_f[1] + (q); \ + X##_f[1] -= T##_f[1]; \ + R##_f[1] += (q); \ + } \ + _FP_FRAC_SLL_2 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[0] = S##_f[0] + (q); \ + T##_f[1] = S##_f[1]; \ + if (T##_f[1] < X##_f[1] \ + || (T##_f[1] == X##_f[1] \ + && T##_f[0] <= X##_f[0])) \ + { \ + S##_f[0] = T##_f[0] + (q); \ + S##_f[1] += (T##_f[0] > S##_f[0]); \ + _FP_FRAC_DEC_2 (X, T); \ + R##_f[0] += (q); \ + } \ + _FP_FRAC_SLL_2 (X, 1); \ + (q) >>= 1; \ + } \ + _FP_FRAC_SLL_4 (R, (_FP_WORKBITS)); \ + if (X##_f[0] | X##_f[1]) \ + { \ + if (S##_f[1] < X##_f[1] \ + || (S##_f[1] == X##_f[1] \ + && S##_f[0] < X##_f[0])) \ + R##_f[0] |= _FP_WORK_ROUND; \ + R##_f[0] |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + +# define FP_CMP_E(r, X, Y, un, ex) _FP_CMP (E, 4, (r), X, Y, (un), (ex)) +# define FP_CMP_EQ_E(r, X, Y, ex) _FP_CMP_EQ (E, 4, (r), X, Y, (ex)) +# define FP_CMP_UNORD_E(r, X, Y, ex) _FP_CMP_UNORD (E, 4, (r), X, Y, (ex)) + +# define FP_TO_INT_E(r, X, rsz, rsg) _FP_TO_INT (E, 4, (r), X, (rsz), (rsg)) +# define FP_FROM_INT_E(X, r, rs, rt) _FP_FROM_INT (E, 4, X, (r), (rs), rt) + +# define _FP_FRAC_HIGH_E(X) (X##_f[2]) +# define _FP_FRAC_HIGH_RAW_E(X) (X##_f[1]) + +# define _FP_FRAC_HIGH_DW_E(X) (X##_f[4]) + +#else /* not _FP_W_TYPE_SIZE < 64 */ +union _FP_UNION_E +{ + XFtype flt; + struct _FP_STRUCT_LAYOUT + { +# if __BYTE_ORDER == __BIG_ENDIAN + _FP_W_TYPE pad : (_FP_W_TYPE_SIZE - 1 - _FP_EXPBITS_E); + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_E; + _FP_W_TYPE frac : _FP_W_TYPE_SIZE; +# else + _FP_W_TYPE frac : _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_E; + unsigned sign : 1; +# endif + } bits; +}; + +# define FP_DECL_E(X) _FP_DECL (2, X) + +# define FP_UNPACK_RAW_E(X, val) \ + do \ + { \ + union _FP_UNION_E FP_UNPACK_RAW_E_flo; \ + FP_UNPACK_RAW_E_flo.flt = (val); \ + \ + X##_f0 = FP_UNPACK_RAW_E_flo.bits.frac; \ + X##_f1 = 0; \ + X##_e = FP_UNPACK_RAW_E_flo.bits.exp; \ + X##_s = FP_UNPACK_RAW_E_flo.bits.sign; \ + } \ + while (0) + +# define FP_UNPACK_RAW_EP(X, val) \ + do \ + { \ + union _FP_UNION_E *FP_UNPACK_RAW_EP_flo \ + = (union _FP_UNION_E *) (val); \ + \ + X##_f0 = FP_UNPACK_RAW_EP_flo->bits.frac; \ + X##_f1 = 0; \ + X##_e = FP_UNPACK_RAW_EP_flo->bits.exp; \ + X##_s = FP_UNPACK_RAW_EP_flo->bits.sign; \ + } \ + while (0) + +# define FP_PACK_RAW_E(val, X) \ + do \ + { \ + union _FP_UNION_E FP_PACK_RAW_E_flo; \ + \ + if (X##_e) \ + X##_f0 |= _FP_IMPLBIT_E; \ + else \ + X##_f0 &= ~(_FP_IMPLBIT_E); \ + FP_PACK_RAW_E_flo.bits.frac = X##_f0; \ + FP_PACK_RAW_E_flo.bits.exp = X##_e; \ + FP_PACK_RAW_E_flo.bits.sign = X##_s; \ + \ + (val) = FP_PACK_RAW_E_flo.flt; \ + } \ + while (0) + +# define FP_PACK_RAW_EP(fs, val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + { \ + union _FP_UNION_E *FP_PACK_RAW_EP_flo \ + = (union _FP_UNION_E *) (val); \ + \ + if (X##_e) \ + X##_f0 |= _FP_IMPLBIT_E; \ + else \ + X##_f0 &= ~(_FP_IMPLBIT_E); \ + FP_PACK_RAW_EP_flo->bits.frac = X##_f0; \ + FP_PACK_RAW_EP_flo->bits.exp = X##_e; \ + FP_PACK_RAW_EP_flo->bits.sign = X##_s; \ + } \ + } \ + while (0) + + +# define FP_UNPACK_E(X, val) \ + do \ + { \ + FP_UNPACK_RAW_E (X, (val)); \ + _FP_UNPACK_CANONICAL (E, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_EP(X, val) \ + do \ + { \ + FP_UNPACK_RAW_EP (X, (val)); \ + _FP_UNPACK_CANONICAL (E, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_E(X, val) \ + do \ + { \ + FP_UNPACK_RAW_E (X, (val)); \ + _FP_UNPACK_SEMIRAW (E, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_EP(X, val) \ + do \ + { \ + FP_UNPACK_RAW_EP (X, (val)); \ + _FP_UNPACK_SEMIRAW (E, 2, X); \ + } \ + while (0) + +# define FP_PACK_E(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (E, 2, X); \ + FP_PACK_RAW_E ((val), X); \ + } \ + while (0) + +# define FP_PACK_EP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (E, 2, X); \ + FP_PACK_RAW_EP ((val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_E(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (E, 2, X); \ + FP_PACK_RAW_E ((val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_EP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (E, 2, X); \ + FP_PACK_RAW_EP ((val), X); \ + } \ + while (0) + +# define FP_ISSIGNAN_E(X) _FP_ISSIGNAN (E, 2, X) +# define FP_NEG_E(R, X) _FP_NEG (E, 2, R, X) +# define FP_ADD_E(R, X, Y) _FP_ADD (E, 2, R, X, Y) +# define FP_SUB_E(R, X, Y) _FP_SUB (E, 2, R, X, Y) +# define FP_MUL_E(R, X, Y) _FP_MUL (E, 2, R, X, Y) +# define FP_DIV_E(R, X, Y) _FP_DIV (E, 2, R, X, Y) +# define FP_SQRT_E(R, X) _FP_SQRT (E, 2, R, X) +# define FP_FMA_E(R, X, Y, Z) _FP_FMA (E, 2, 4, R, X, Y, Z) + +/* Square root algorithms: + We have just one right now, maybe Newton approximation + should be added for those machines where division is fast. + We optimize it by doing most of the calculations + in one UWtype registers instead of two, although we don't + have to. */ +# define _FP_SQRT_MEAT_E(R, S, T, X, q) \ + do \ + { \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_2 (X, (_FP_WORKBITS)); \ + while (q) \ + { \ + T##_f0 = S##_f0 + (q); \ + if (T##_f0 <= X##_f0) \ + { \ + S##_f0 = T##_f0 + (q); \ + X##_f0 -= T##_f0; \ + R##_f0 += (q); \ + } \ + _FP_FRAC_SLL_1 (X, 1); \ + (q) >>= 1; \ + } \ + _FP_FRAC_SLL_2 (R, (_FP_WORKBITS)); \ + if (X##_f0) \ + { \ + if (S##_f0 < X##_f0) \ + R##_f0 |= _FP_WORK_ROUND; \ + R##_f0 |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + +# define FP_CMP_E(r, X, Y, un, ex) _FP_CMP (E, 2, (r), X, Y, (un), (ex)) +# define FP_CMP_EQ_E(r, X, Y, ex) _FP_CMP_EQ (E, 2, (r), X, Y, (ex)) +# define FP_CMP_UNORD_E(r, X, Y, ex) _FP_CMP_UNORD (E, 2, (r), X, Y, (ex)) + +# define FP_TO_INT_E(r, X, rsz, rsg) _FP_TO_INT (E, 2, (r), X, (rsz), (rsg)) +# define FP_FROM_INT_E(X, r, rs, rt) _FP_FROM_INT (E, 2, X, (r), (rs), rt) + +# define _FP_FRAC_HIGH_E(X) (X##_f1) +# define _FP_FRAC_HIGH_RAW_E(X) (X##_f0) + +# define _FP_FRAC_HIGH_DW_E(X) (X##_f[2]) + +#endif /* not _FP_W_TYPE_SIZE < 64 */ diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendsfdf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendsfdf2.c new file mode 100644 index 0000000000..6224195ce9 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendsfdf2.c @@ -0,0 +1,55 @@ +/* Software floating-point emulation. + Return a converted to IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXACT_UNDERFLOW +#include "soft-fp.h" +#include "single.h" +#include "double.h" + +DFtype +__extendsfdf2 (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_D (R); + DFtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); +#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D + FP_EXTEND (D, S, 2, 1, R, A); +#else + FP_EXTEND (D, S, 1, 1, R, A); +#endif + FP_PACK_RAW_D (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendsftf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendsftf2.c new file mode 100644 index 0000000000..f67d614d7c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendsftf2.c @@ -0,0 +1,55 @@ +/* Software floating-point emulation. + Return a converted to IEEE quad + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXACT_UNDERFLOW +#include "soft-fp.h" +#include "single.h" +#include "quad.h" + +TFtype +__extendsftf2 (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); +#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q + FP_EXTEND (Q, S, 4, 1, R, A); +#else + FP_EXTEND (Q, S, 2, 1, R, A); +#endif + FP_PACK_RAW_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendxftf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendxftf2.c new file mode 100644 index 0000000000..a1386a68e6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/extendxftf2.c @@ -0,0 +1,53 @@ +/* Software floating-point emulation. + Return a converted to IEEE quad + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "extended.h" +#include "quad.h" + +TFtype +__extendxftf2 (XFtype a) +{ + FP_DECL_EX; + FP_DECL_E (A); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_TRAPPING_EXCEPTIONS; + FP_UNPACK_RAW_E (A, a); +#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q + FP_EXTEND (Q, E, 4, 4, R, A); +#else + FP_EXTEND (Q, E, 2, 2, R, A); +#endif + FP_PACK_RAW_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfdi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfdi.c new file mode 100644 index 0000000000..4b7659a467 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfdi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 64bit signed integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DItype +__fixdfdi (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + UDItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_TO_INT_D (r, A, DI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfsi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfsi.c new file mode 100644 index 0000000000..1545454a0b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfsi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 32bit signed integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +SItype +__fixdfsi (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + USItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_TO_INT_D (r, A, SI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfti.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfti.c new file mode 100644 index 0000000000..b47b7c22cb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixdfti.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert IEEE double to 128bit signed integer + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +TItype +__fixdfti (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + UTItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_TO_INT_D (r, A, TI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfdi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfdi.c new file mode 100644 index 0000000000..5353839b93 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfdi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 64bit signed integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +DItype +__fixsfdi (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + UDItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_TO_INT_S (r, A, DI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfsi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfsi.c new file mode 100644 index 0000000000..8fbebaac61 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfsi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 32bit signed integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SItype +__fixsfsi (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + USItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_TO_INT_S (r, A, SI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfti.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfti.c new file mode 100644 index 0000000000..cf7d284a07 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixsfti.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert IEEE single to 128bit signed integer + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +TItype +__fixsfti (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + UTItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_TO_INT_S (r, A, TI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfdi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfdi.c new file mode 100644 index 0000000000..3697d0f070 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfdi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 64bit signed integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +DItype +__fixtfdi (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + UDItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_TO_INT_Q (r, A, DI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfsi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfsi.c new file mode 100644 index 0000000000..220a11ac66 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfsi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 32bit signed integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +SItype +__fixtfsi (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + USItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_TO_INT_Q (r, A, SI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfti.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfti.c new file mode 100644 index 0000000000..47b062d15c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixtfti.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert IEEE quad to 128bit signed integer + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TItype +__fixtfti (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + UTItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_TO_INT_Q (r, A, TI_BITS, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfdi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfdi.c new file mode 100644 index 0000000000..a0a8be94f6 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfdi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 64bit unsigned integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +UDItype +__fixunsdfdi (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + UDItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_TO_INT_D (r, A, DI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfsi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfsi.c new file mode 100644 index 0000000000..8905d825ef --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfsi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 32bit unsigned integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +USItype +__fixunsdfsi (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + USItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_TO_INT_D (r, A, SI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfti.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfti.c new file mode 100644 index 0000000000..de8189e1a1 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunsdfti.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert IEEE double to 128bit unsigned integer + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +UTItype +__fixunsdfti (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + UTItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_TO_INT_D (r, A, TI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfdi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfdi.c new file mode 100644 index 0000000000..68e413d870 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfdi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 64bit unsigned integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +UDItype +__fixunssfdi (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + UDItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_TO_INT_S (r, A, DI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfsi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfsi.c new file mode 100644 index 0000000000..7e0bc6bbb8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfsi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 32bit unsigned integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +USItype +__fixunssfsi (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + USItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_TO_INT_S (r, A, SI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfti.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfti.c new file mode 100644 index 0000000000..264ba13a6d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunssfti.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert IEEE single to 128bit unsigned integer + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +UTItype +__fixunssfti (SFtype a) +{ + FP_DECL_EX; + FP_DECL_S (A); + UTItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_TO_INT_S (r, A, TI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfdi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfdi.c new file mode 100644 index 0000000000..7e866e4218 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfdi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 64bit unsigned integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +UDItype +__fixunstfdi (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + UDItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_TO_INT_Q (r, A, DI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfsi.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfsi.c new file mode 100644 index 0000000000..9665721f3b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfsi.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a to 32bit unsigned integer + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +USItype +__fixunstfsi (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + USItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_TO_INT_Q (r, A, SI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfti.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfti.c new file mode 100644 index 0000000000..fcdf122d24 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/fixunstfti.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert IEEE quad to 128bit unsigned integer + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +UTItype +__fixunstfti (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + UTItype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_TO_INT_Q (r, A, TI_BITS, 0); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatdidf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatdidf.c new file mode 100644 index 0000000000..f290e248f8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatdidf.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a 64bit signed integer to IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__floatdidf (DItype i) +{ + FP_DECL_EX; + FP_DECL_D (A); + DFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_D (A, i, DI_BITS, UDItype); + FP_PACK_RAW_D (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatdisf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatdisf.c new file mode 100644 index 0000000000..b54cef8ae0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatdisf.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a 64bit signed integer to IEEE single + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__floatdisf (DItype i) +{ + FP_DECL_EX; + FP_DECL_S (A); + SFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_S (A, i, DI_BITS, UDItype); + FP_PACK_RAW_S (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatditf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatditf.c new file mode 100644 index 0000000000..33c3b197db --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatditf.c @@ -0,0 +1,45 @@ +/* Software floating-point emulation. + Convert a 64bit signed integer to IEEE quad + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXCEPTIONS +#include "soft-fp.h" +#include "quad.h" + +TFtype +__floatditf (DItype i) +{ + FP_DECL_Q (A); + TFtype a; + + FP_FROM_INT_Q (A, i, DI_BITS, UDItype); + FP_PACK_RAW_Q (a, A); + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsidf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsidf.c new file mode 100644 index 0000000000..fdd9d752f0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsidf.c @@ -0,0 +1,45 @@ +/* Software floating-point emulation. + Convert a 32bit signed integer to IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXCEPTIONS +#include "soft-fp.h" +#include "double.h" + +DFtype +__floatsidf (SItype i) +{ + FP_DECL_D (A); + DFtype a; + + FP_FROM_INT_D (A, i, SI_BITS, USItype); + FP_PACK_RAW_D (a, A); + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsisf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsisf.c new file mode 100644 index 0000000000..3b2f8047bd --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsisf.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a 32bit signed integer to IEEE single + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__floatsisf (SItype i) +{ + FP_DECL_EX; + FP_DECL_S (A); + SFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_S (A, i, SI_BITS, USItype); + FP_PACK_RAW_S (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsitf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsitf.c new file mode 100644 index 0000000000..d92e4bdd25 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatsitf.c @@ -0,0 +1,45 @@ +/* Software floating-point emulation. + Convert a 32bit signed integer to IEEE quad + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXCEPTIONS +#include "soft-fp.h" +#include "quad.h" + +TFtype +__floatsitf (SItype i) +{ + FP_DECL_Q (A); + TFtype a; + + FP_FROM_INT_Q (A, i, SI_BITS, USItype); + FP_PACK_RAW_Q (a, A); + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattidf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattidf.c new file mode 100644 index 0000000000..74c3599f04 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattidf.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert a 128bit signed integer to IEEE double + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__floattidf (TItype i) +{ + FP_DECL_EX; + FP_DECL_D (A); + DFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_D (A, i, TI_BITS, UTItype); + FP_PACK_RAW_D (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattisf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattisf.c new file mode 100644 index 0000000000..1dc76438a0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattisf.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert a 128bit signed integer to IEEE single + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__floattisf (TItype i) +{ + FP_DECL_EX; + FP_DECL_S (A); + SFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_S (A, i, TI_BITS, UTItype); + FP_PACK_RAW_S (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattitf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattitf.c new file mode 100644 index 0000000000..8c439260b7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floattitf.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert a 128bit signed integer to IEEE quad + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__floattitf (TItype i) +{ + FP_DECL_EX; + FP_DECL_Q (A); + TFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_Q (A, i, TI_BITS, UTItype); + FP_PACK_RAW_Q (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatundidf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatundidf.c new file mode 100644 index 0000000000..43d59c19b2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatundidf.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a 64bit unsigned integer to IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__floatundidf (UDItype i) +{ + FP_DECL_EX; + FP_DECL_D (A); + DFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_D (A, i, DI_BITS, UDItype); + FP_PACK_RAW_D (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatundisf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatundisf.c new file mode 100644 index 0000000000..bf32a214fd --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatundisf.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a 64bit unsigned integer to IEEE single + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__floatundisf (UDItype i) +{ + FP_DECL_EX; + FP_DECL_S (A); + SFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_S (A, i, DI_BITS, UDItype); + FP_PACK_RAW_S (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunditf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunditf.c new file mode 100644 index 0000000000..4eff13671a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunditf.c @@ -0,0 +1,45 @@ +/* Software floating-point emulation. + Convert a 64bit unsigned integer to IEEE quad + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXCEPTIONS +#include "soft-fp.h" +#include "quad.h" + +TFtype +__floatunditf (UDItype i) +{ + FP_DECL_Q (A); + TFtype a; + + FP_FROM_INT_Q (A, i, DI_BITS, UDItype); + FP_PACK_RAW_Q (a, A); + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsidf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsidf.c new file mode 100644 index 0000000000..e995bf4e6a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsidf.c @@ -0,0 +1,45 @@ +/* Software floating-point emulation. + Convert a 32bit unsigned integer to IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXCEPTIONS +#include "soft-fp.h" +#include "double.h" + +DFtype +__floatunsidf (USItype i) +{ + FP_DECL_D (A); + DFtype a; + + FP_FROM_INT_D (A, i, SI_BITS, USItype); + FP_PACK_RAW_D (a, A); + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsisf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsisf.c new file mode 100644 index 0000000000..803e0db77f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsisf.c @@ -0,0 +1,47 @@ +/* Software floating-point emulation. + Convert a 32bit unsigned integer to IEEE single + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__floatunsisf (USItype i) +{ + FP_DECL_EX; + FP_DECL_S (A); + SFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_S (A, i, SI_BITS, USItype); + FP_PACK_RAW_S (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsitf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsitf.c new file mode 100644 index 0000000000..956cb62ef2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatunsitf.c @@ -0,0 +1,45 @@ +/* Software floating-point emulation. + Convert a 32bit unsigned integer to IEEE quad + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define FP_NO_EXCEPTIONS +#include "soft-fp.h" +#include "quad.h" + +TFtype +__floatunsitf (USItype i) +{ + FP_DECL_Q (A); + TFtype a; + + FP_FROM_INT_Q (A, i, SI_BITS, USItype); + FP_PACK_RAW_Q (a, A); + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntidf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntidf.c new file mode 100644 index 0000000000..1b543d4a96 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntidf.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert a 128bit unsigned integer to IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__floatuntidf (UTItype i) +{ + FP_DECL_EX; + FP_DECL_D (A); + DFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_D (A, i, TI_BITS, UTItype); + FP_PACK_RAW_D (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntisf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntisf.c new file mode 100644 index 0000000000..09a610d309 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntisf.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert a 128bit unsigned integer to IEEE single + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__floatuntisf (UTItype i) +{ + FP_DECL_EX; + FP_DECL_S (A); + SFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_S (A, i, TI_BITS, UTItype); + FP_PACK_RAW_S (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntitf.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntitf.c new file mode 100644 index 0000000000..d6e57fdae8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/floatuntitf.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Convert a 128bit unsigned integer to IEEE quad + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__floatuntitf (UTItype i) +{ + FP_DECL_EX; + FP_DECL_Q (A); + TFtype a; + + FP_INIT_ROUNDMODE; + FP_FROM_INT_Q (A, i, TI_BITS, UTItype); + FP_PACK_RAW_Q (a, A); + FP_HANDLE_EXCEPTIONS; + + return a; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/gedf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/gedf2.c new file mode 100644 index 0000000000..a8cc94941f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/gedf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 iff a > b, -2 iff a ? b, -1 iff a < b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +CMPtype +__gedf2 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_UNPACK_RAW_D (B, b); + FP_CMP_D (r, A, B, -2, 2); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__gedf2, __gtdf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/gesf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/gesf2.c new file mode 100644 index 0000000000..aa84b2614d --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/gesf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 iff a > b, -2 iff a ? b, -1 iff a < b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +CMPtype +__gesf2 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_UNPACK_RAW_S (B, b); + FP_CMP_S (r, A, B, -2, 2); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__gesf2, __gtsf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/getf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/getf2.c new file mode 100644 index 0000000000..c852228ddc --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/getf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 iff a > b, -2 iff a ? b, -1 iff a < b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +CMPtype +__getf2 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_UNPACK_RAW_Q (B, b); + FP_CMP_Q (r, A, B, -2, 2); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__getf2, __gttf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/ledf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/ledf2.c new file mode 100644 index 0000000000..fb5bbb29de --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/ledf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 iff a > b, 2 iff a ? b, -1 iff a < b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +CMPtype +__ledf2 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_UNPACK_RAW_D (B, b); + FP_CMP_D (r, A, B, 2, 2); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__ledf2, __ltdf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/lesf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/lesf2.c new file mode 100644 index 0000000000..1b672042a2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/lesf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 iff a > b, 2 iff a ? b, -1 iff a < b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +CMPtype +__lesf2 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_UNPACK_RAW_S (B, b); + FP_CMP_S (r, A, B, 2, 2); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__lesf2, __ltsf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/letf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/letf2.c new file mode 100644 index 0000000000..1293519d21 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/letf2.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return 0 iff a == b, 1 iff a > b, 2 iff a ? b, -1 iff a < b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +CMPtype +__letf2 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_UNPACK_RAW_Q (B, b); + FP_CMP_Q (r, A, B, 2, 2); + FP_HANDLE_EXCEPTIONS; + + return r; +} + +strong_alias (__letf2, __lttf2); diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/muldf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/muldf3.c new file mode 100644 index 0000000000..96bf65f554 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/muldf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a * b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__muldf3 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + FP_DECL_D (R); + DFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_D (A, a); + FP_UNPACK_D (B, b); + FP_MUL_D (R, A, B); + FP_PACK_D (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/mulsf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/mulsf3.c new file mode 100644 index 0000000000..d8160a1a1b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/mulsf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a * b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__mulsf3 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + FP_DECL_S (R); + SFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_S (A, a); + FP_UNPACK_S (B, b); + FP_MUL_S (R, A, B); + FP_PACK_S (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/multf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/multf3.c new file mode 100644 index 0000000000..d67a12b7bb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/multf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a * b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__multf3 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_Q (A, a); + FP_UNPACK_Q (B, b); + FP_MUL_Q (R, A, B); + FP_PACK_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/negdf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/negdf2.c new file mode 100644 index 0000000000..5d3c6114e5 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/negdf2.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Return -a + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__negdf2 (DFtype a) +{ + FP_DECL_D (A); + FP_DECL_D (R); + DFtype r; + + FP_UNPACK_RAW_D (A, a); + FP_NEG_D (R, A); + FP_PACK_RAW_D (r, R); + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/negsf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/negsf2.c new file mode 100644 index 0000000000..c4a06089ee --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/negsf2.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Return -a + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__negsf2 (SFtype a) +{ + FP_DECL_S (A); + FP_DECL_S (R); + SFtype r; + + FP_UNPACK_RAW_S (A, a); + FP_NEG_S (R, A); + FP_PACK_RAW_S (r, R); + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/negtf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/negtf2.c new file mode 100644 index 0000000000..5306005b8b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/negtf2.c @@ -0,0 +1,46 @@ +/* Software floating-point emulation. + Return -a + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__negtf2 (TFtype a) +{ + FP_DECL_Q (A); + FP_DECL_Q (R); + TFtype r; + + FP_UNPACK_RAW_Q (A, a); + FP_NEG_Q (R, A); + FP_PACK_RAW_Q (r, R); + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-1.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-1.h new file mode 100644 index 0000000000..177705caa3 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-1.h @@ -0,0 +1,364 @@ +/* Software floating-point emulation. + Basic one-word fraction declaration and manipulation. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define _FP_FRAC_DECL_1(X) _FP_W_TYPE X##_f +#define _FP_FRAC_COPY_1(D, S) (D##_f = S##_f) +#define _FP_FRAC_SET_1(X, I) (X##_f = I) +#define _FP_FRAC_HIGH_1(X) (X##_f) +#define _FP_FRAC_LOW_1(X) (X##_f) +#define _FP_FRAC_WORD_1(X, w) (X##_f) + +#define _FP_FRAC_ADDI_1(X, I) (X##_f += I) +#define _FP_FRAC_SLL_1(X, N) \ + do \ + { \ + if (__builtin_constant_p (N) && (N) == 1) \ + X##_f += X##_f; \ + else \ + X##_f <<= (N); \ + } \ + while (0) +#define _FP_FRAC_SRL_1(X, N) (X##_f >>= N) + +/* Right shift with sticky-lsb. */ +#define _FP_FRAC_SRST_1(X, S, N, sz) __FP_FRAC_SRST_1 (X##_f, S, (N), (sz)) +#define _FP_FRAC_SRS_1(X, N, sz) __FP_FRAC_SRS_1 (X##_f, (N), (sz)) + +#define __FP_FRAC_SRST_1(X, S, N, sz) \ + do \ + { \ + S = (__builtin_constant_p (N) && (N) == 1 \ + ? X & 1 \ + : (X << (_FP_W_TYPE_SIZE - (N))) != 0); \ + X = X >> (N); \ + } \ + while (0) + +#define __FP_FRAC_SRS_1(X, N, sz) \ + (X = (X >> (N) | (__builtin_constant_p (N) && (N) == 1 \ + ? X & 1 \ + : (X << (_FP_W_TYPE_SIZE - (N))) != 0))) + +#define _FP_FRAC_ADD_1(R, X, Y) (R##_f = X##_f + Y##_f) +#define _FP_FRAC_SUB_1(R, X, Y) (R##_f = X##_f - Y##_f) +#define _FP_FRAC_DEC_1(X, Y) (X##_f -= Y##_f) +#define _FP_FRAC_CLZ_1(z, X) __FP_CLZ ((z), X##_f) + +/* Predicates. */ +#define _FP_FRAC_NEGP_1(X) ((_FP_WS_TYPE) X##_f < 0) +#define _FP_FRAC_ZEROP_1(X) (X##_f == 0) +#define _FP_FRAC_OVERP_1(fs, X) (X##_f & _FP_OVERFLOW_##fs) +#define _FP_FRAC_CLEAR_OVERP_1(fs, X) (X##_f &= ~_FP_OVERFLOW_##fs) +#define _FP_FRAC_HIGHBIT_DW_1(fs, X) (X##_f & _FP_HIGHBIT_DW_##fs) +#define _FP_FRAC_EQ_1(X, Y) (X##_f == Y##_f) +#define _FP_FRAC_GE_1(X, Y) (X##_f >= Y##_f) +#define _FP_FRAC_GT_1(X, Y) (X##_f > Y##_f) + +#define _FP_ZEROFRAC_1 0 +#define _FP_MINFRAC_1 1 +#define _FP_MAXFRAC_1 (~(_FP_WS_TYPE) 0) + +/* Unpack the raw bits of a native fp value. Do not classify or + normalize the data. */ + +#define _FP_UNPACK_RAW_1(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs _FP_UNPACK_RAW_1_flo; \ + _FP_UNPACK_RAW_1_flo.flt = (val); \ + \ + X##_f = _FP_UNPACK_RAW_1_flo.bits.frac; \ + X##_e = _FP_UNPACK_RAW_1_flo.bits.exp; \ + X##_s = _FP_UNPACK_RAW_1_flo.bits.sign; \ + } \ + while (0) + +#define _FP_UNPACK_RAW_1_P(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs *_FP_UNPACK_RAW_1_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + X##_f = _FP_UNPACK_RAW_1_P_flo->bits.frac; \ + X##_e = _FP_UNPACK_RAW_1_P_flo->bits.exp; \ + X##_s = _FP_UNPACK_RAW_1_P_flo->bits.sign; \ + } \ + while (0) + +/* Repack the raw bits of a native fp value. */ + +#define _FP_PACK_RAW_1(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs _FP_PACK_RAW_1_flo; \ + \ + _FP_PACK_RAW_1_flo.bits.frac = X##_f; \ + _FP_PACK_RAW_1_flo.bits.exp = X##_e; \ + _FP_PACK_RAW_1_flo.bits.sign = X##_s; \ + \ + (val) = _FP_PACK_RAW_1_flo.flt; \ + } \ + while (0) + +#define _FP_PACK_RAW_1_P(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs *_FP_PACK_RAW_1_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + _FP_PACK_RAW_1_P_flo->bits.frac = X##_f; \ + _FP_PACK_RAW_1_P_flo->bits.exp = X##_e; \ + _FP_PACK_RAW_1_P_flo->bits.sign = X##_s; \ + } \ + while (0) + + +/* Multiplication algorithms: */ + +/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the + multiplication immediately. */ + +#define _FP_MUL_MEAT_DW_1_imm(wfracbits, R, X, Y) \ + do \ + { \ + R##_f = X##_f * Y##_f; \ + } \ + while (0) + +#define _FP_MUL_MEAT_1_imm(wfracbits, R, X, Y) \ + do \ + { \ + _FP_MUL_MEAT_DW_1_imm ((wfracbits), R, X, Y); \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_1 (R, (wfracbits)-1, 2*(wfracbits)); \ + } \ + while (0) + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_DW_1_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + doit (R##_f1, R##_f0, X##_f, Y##_f); \ + } \ + while (0) + +#define _FP_MUL_MEAT_1_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_1_wide_Z); \ + _FP_MUL_MEAT_DW_1_wide ((wfracbits), _FP_MUL_MEAT_1_wide_Z, \ + X, Y, doit); \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_2 (_FP_MUL_MEAT_1_wide_Z, (wfracbits)-1, \ + 2*(wfracbits)); \ + R##_f = _FP_MUL_MEAT_1_wide_Z_f0; \ + } \ + while (0) + +/* Finally, a simple widening multiply algorithm. What fun! */ + +#define _FP_MUL_MEAT_DW_1_hard(wfracbits, R, X, Y) \ + do \ + { \ + _FP_W_TYPE _FP_MUL_MEAT_DW_1_hard_xh, _FP_MUL_MEAT_DW_1_hard_xl; \ + _FP_W_TYPE _FP_MUL_MEAT_DW_1_hard_yh, _FP_MUL_MEAT_DW_1_hard_yl; \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_1_hard_a); \ + \ + /* Split the words in half. */ \ + _FP_MUL_MEAT_DW_1_hard_xh = X##_f >> (_FP_W_TYPE_SIZE/2); \ + _FP_MUL_MEAT_DW_1_hard_xl \ + = X##_f & (((_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE/2)) - 1); \ + _FP_MUL_MEAT_DW_1_hard_yh = Y##_f >> (_FP_W_TYPE_SIZE/2); \ + _FP_MUL_MEAT_DW_1_hard_yl \ + = Y##_f & (((_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE/2)) - 1); \ + \ + /* Multiply the pieces. */ \ + R##_f0 = _FP_MUL_MEAT_DW_1_hard_xl * _FP_MUL_MEAT_DW_1_hard_yl; \ + _FP_MUL_MEAT_DW_1_hard_a_f0 \ + = _FP_MUL_MEAT_DW_1_hard_xh * _FP_MUL_MEAT_DW_1_hard_yl; \ + _FP_MUL_MEAT_DW_1_hard_a_f1 \ + = _FP_MUL_MEAT_DW_1_hard_xl * _FP_MUL_MEAT_DW_1_hard_yh; \ + R##_f1 = _FP_MUL_MEAT_DW_1_hard_xh * _FP_MUL_MEAT_DW_1_hard_yh; \ + \ + /* Reassemble into two full words. */ \ + if ((_FP_MUL_MEAT_DW_1_hard_a_f0 += _FP_MUL_MEAT_DW_1_hard_a_f1) \ + < _FP_MUL_MEAT_DW_1_hard_a_f1) \ + R##_f1 += (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE/2); \ + _FP_MUL_MEAT_DW_1_hard_a_f1 \ + = _FP_MUL_MEAT_DW_1_hard_a_f0 >> (_FP_W_TYPE_SIZE/2); \ + _FP_MUL_MEAT_DW_1_hard_a_f0 \ + = _FP_MUL_MEAT_DW_1_hard_a_f0 << (_FP_W_TYPE_SIZE/2); \ + _FP_FRAC_ADD_2 (R, R, _FP_MUL_MEAT_DW_1_hard_a); \ + } \ + while (0) + +#define _FP_MUL_MEAT_1_hard(wfracbits, R, X, Y) \ + do \ + { \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_1_hard_z); \ + _FP_MUL_MEAT_DW_1_hard ((wfracbits), \ + _FP_MUL_MEAT_1_hard_z, X, Y); \ + \ + /* Normalize. */ \ + _FP_FRAC_SRS_2 (_FP_MUL_MEAT_1_hard_z, \ + (wfracbits) - 1, 2*(wfracbits)); \ + R##_f = _FP_MUL_MEAT_1_hard_z_f0; \ + } \ + while (0) + + +/* Division algorithms: */ + +/* Basic. Assuming the host word size is >= 2*FRACBITS, we can do the + division immediately. Give this macro either _FP_DIV_HELP_imm for + C primitives or _FP_DIV_HELP_ldiv for the ISO function. Which you + choose will depend on what the compiler does with divrem4. */ + +#define _FP_DIV_MEAT_1_imm(fs, R, X, Y, doit) \ + do \ + { \ + _FP_W_TYPE _FP_DIV_MEAT_1_imm_q, _FP_DIV_MEAT_1_imm_r; \ + X##_f <<= (X##_f < Y##_f \ + ? R##_e--, _FP_WFRACBITS_##fs \ + : _FP_WFRACBITS_##fs - 1); \ + doit (_FP_DIV_MEAT_1_imm_q, _FP_DIV_MEAT_1_imm_r, X##_f, Y##_f); \ + R##_f = _FP_DIV_MEAT_1_imm_q | (_FP_DIV_MEAT_1_imm_r != 0); \ + } \ + while (0) + +/* GCC's longlong.h defines a 2W / 1W => (1W,1W) primitive udiv_qrnnd + that may be useful in this situation. This first is for a primitive + that requires normalization, the second for one that does not. Look + for UDIV_NEEDS_NORMALIZATION to tell which your machine needs. */ + +#define _FP_DIV_MEAT_1_udiv_norm(fs, R, X, Y) \ + do \ + { \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_norm_nh; \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_norm_nl; \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_norm_q; \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_norm_r; \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_norm_y; \ + \ + /* Normalize Y -- i.e. make the most significant bit set. */ \ + _FP_DIV_MEAT_1_udiv_norm_y = Y##_f << _FP_WFRACXBITS_##fs; \ + \ + /* Shift X op correspondingly high, that is, up one full word. */ \ + if (X##_f < Y##_f) \ + { \ + R##_e--; \ + _FP_DIV_MEAT_1_udiv_norm_nl = 0; \ + _FP_DIV_MEAT_1_udiv_norm_nh = X##_f; \ + } \ + else \ + { \ + _FP_DIV_MEAT_1_udiv_norm_nl = X##_f << (_FP_W_TYPE_SIZE - 1); \ + _FP_DIV_MEAT_1_udiv_norm_nh = X##_f >> 1; \ + } \ + \ + udiv_qrnnd (_FP_DIV_MEAT_1_udiv_norm_q, \ + _FP_DIV_MEAT_1_udiv_norm_r, \ + _FP_DIV_MEAT_1_udiv_norm_nh, \ + _FP_DIV_MEAT_1_udiv_norm_nl, \ + _FP_DIV_MEAT_1_udiv_norm_y); \ + R##_f = (_FP_DIV_MEAT_1_udiv_norm_q \ + | (_FP_DIV_MEAT_1_udiv_norm_r != 0)); \ + } \ + while (0) + +#define _FP_DIV_MEAT_1_udiv(fs, R, X, Y) \ + do \ + { \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_nh, _FP_DIV_MEAT_1_udiv_nl; \ + _FP_W_TYPE _FP_DIV_MEAT_1_udiv_q, _FP_DIV_MEAT_1_udiv_r; \ + if (X##_f < Y##_f) \ + { \ + R##_e--; \ + _FP_DIV_MEAT_1_udiv_nl = X##_f << _FP_WFRACBITS_##fs; \ + _FP_DIV_MEAT_1_udiv_nh = X##_f >> _FP_WFRACXBITS_##fs; \ + } \ + else \ + { \ + _FP_DIV_MEAT_1_udiv_nl = X##_f << (_FP_WFRACBITS_##fs - 1); \ + _FP_DIV_MEAT_1_udiv_nh = X##_f >> (_FP_WFRACXBITS_##fs + 1); \ + } \ + udiv_qrnnd (_FP_DIV_MEAT_1_udiv_q, _FP_DIV_MEAT_1_udiv_r, \ + _FP_DIV_MEAT_1_udiv_nh, _FP_DIV_MEAT_1_udiv_nl, \ + Y##_f); \ + R##_f = _FP_DIV_MEAT_1_udiv_q | (_FP_DIV_MEAT_1_udiv_r != 0); \ + } \ + while (0) + + +/* Square root algorithms: + We have just one right now, maybe Newton approximation + should be added for those machines where division is fast. */ + +#define _FP_SQRT_MEAT_1(R, S, T, X, q) \ + do \ + { \ + while ((q) != _FP_WORK_ROUND) \ + { \ + T##_f = S##_f + (q); \ + if (T##_f <= X##_f) \ + { \ + S##_f = T##_f + (q); \ + X##_f -= T##_f; \ + R##_f += (q); \ + } \ + _FP_FRAC_SLL_1 (X, 1); \ + (q) >>= 1; \ + } \ + if (X##_f) \ + { \ + if (S##_f < X##_f) \ + R##_f |= _FP_WORK_ROUND; \ + R##_f |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + +/* Assembly/disassembly for converting to/from integral types. + No shifting or overflow handled here. */ + +#define _FP_FRAC_ASSEMBLE_1(r, X, rsize) ((r) = X##_f) +#define _FP_FRAC_DISASSEMBLE_1(X, r, rsize) (X##_f = (r)) + + +/* Convert FP values between word sizes. */ + +#define _FP_FRAC_COPY_1_1(D, S) (D##_f = S##_f) diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-2.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-2.h new file mode 100644 index 0000000000..50028f72d2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-2.h @@ -0,0 +1,699 @@ +/* Software floating-point emulation. + Basic two-word fraction declaration and manipulation. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define _FP_FRAC_DECL_2(X) _FP_W_TYPE X##_f0, X##_f1 +#define _FP_FRAC_COPY_2(D, S) (D##_f0 = S##_f0, D##_f1 = S##_f1) +#define _FP_FRAC_SET_2(X, I) __FP_FRAC_SET_2 (X, I) +#define _FP_FRAC_HIGH_2(X) (X##_f1) +#define _FP_FRAC_LOW_2(X) (X##_f0) +#define _FP_FRAC_WORD_2(X, w) (X##_f##w) + +#define _FP_FRAC_SLL_2(X, N) \ + (void) (((N) < _FP_W_TYPE_SIZE) \ + ? ({ \ + if (__builtin_constant_p (N) && (N) == 1) \ + { \ + X##_f1 = X##_f1 + X##_f1 + (((_FP_WS_TYPE) (X##_f0)) < 0); \ + X##_f0 += X##_f0; \ + } \ + else \ + { \ + X##_f1 = X##_f1 << (N) | X##_f0 >> (_FP_W_TYPE_SIZE - (N)); \ + X##_f0 <<= (N); \ + } \ + 0; \ + }) \ + : ({ \ + X##_f1 = X##_f0 << ((N) - _FP_W_TYPE_SIZE); \ + X##_f0 = 0; \ + })) + + +#define _FP_FRAC_SRL_2(X, N) \ + (void) (((N) < _FP_W_TYPE_SIZE) \ + ? ({ \ + X##_f0 = X##_f0 >> (N) | X##_f1 << (_FP_W_TYPE_SIZE - (N)); \ + X##_f1 >>= (N); \ + }) \ + : ({ \ + X##_f0 = X##_f1 >> ((N) - _FP_W_TYPE_SIZE); \ + X##_f1 = 0; \ + })) + +/* Right shift with sticky-lsb. */ +#define _FP_FRAC_SRST_2(X, S, N, sz) \ + (void) (((N) < _FP_W_TYPE_SIZE) \ + ? ({ \ + S = (__builtin_constant_p (N) && (N) == 1 \ + ? X##_f0 & 1 \ + : (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0); \ + X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N)); \ + X##_f1 >>= (N); \ + }) \ + : ({ \ + S = ((((N) == _FP_W_TYPE_SIZE \ + ? 0 \ + : (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \ + | X##_f0) != 0); \ + X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE)); \ + X##_f1 = 0; \ + })) + +#define _FP_FRAC_SRS_2(X, N, sz) \ + (void) (((N) < _FP_W_TYPE_SIZE) \ + ? ({ \ + X##_f0 = (X##_f1 << (_FP_W_TYPE_SIZE - (N)) | X##_f0 >> (N) \ + | (__builtin_constant_p (N) && (N) == 1 \ + ? X##_f0 & 1 \ + : (X##_f0 << (_FP_W_TYPE_SIZE - (N))) != 0)); \ + X##_f1 >>= (N); \ + }) \ + : ({ \ + X##_f0 = (X##_f1 >> ((N) - _FP_W_TYPE_SIZE) \ + | ((((N) == _FP_W_TYPE_SIZE \ + ? 0 \ + : (X##_f1 << (2*_FP_W_TYPE_SIZE - (N)))) \ + | X##_f0) != 0)); \ + X##_f1 = 0; \ + })) + +#define _FP_FRAC_ADDI_2(X, I) \ + __FP_FRAC_ADDI_2 (X##_f1, X##_f0, I) + +#define _FP_FRAC_ADD_2(R, X, Y) \ + __FP_FRAC_ADD_2 (R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) + +#define _FP_FRAC_SUB_2(R, X, Y) \ + __FP_FRAC_SUB_2 (R##_f1, R##_f0, X##_f1, X##_f0, Y##_f1, Y##_f0) + +#define _FP_FRAC_DEC_2(X, Y) \ + __FP_FRAC_DEC_2 (X##_f1, X##_f0, Y##_f1, Y##_f0) + +#define _FP_FRAC_CLZ_2(R, X) \ + do \ + { \ + if (X##_f1) \ + __FP_CLZ ((R), X##_f1); \ + else \ + { \ + __FP_CLZ ((R), X##_f0); \ + (R) += _FP_W_TYPE_SIZE; \ + } \ + } \ + while (0) + +/* Predicates. */ +#define _FP_FRAC_NEGP_2(X) ((_FP_WS_TYPE) X##_f1 < 0) +#define _FP_FRAC_ZEROP_2(X) ((X##_f1 | X##_f0) == 0) +#define _FP_FRAC_OVERP_2(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) +#define _FP_FRAC_CLEAR_OVERP_2(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) +#define _FP_FRAC_HIGHBIT_DW_2(fs, X) \ + (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) +#define _FP_FRAC_EQ_2(X, Y) (X##_f1 == Y##_f1 && X##_f0 == Y##_f0) +#define _FP_FRAC_GT_2(X, Y) \ + (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 > Y##_f0)) +#define _FP_FRAC_GE_2(X, Y) \ + (X##_f1 > Y##_f1 || (X##_f1 == Y##_f1 && X##_f0 >= Y##_f0)) + +#define _FP_ZEROFRAC_2 0, 0 +#define _FP_MINFRAC_2 0, 1 +#define _FP_MAXFRAC_2 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) + +/* Internals. */ + +#define __FP_FRAC_SET_2(X, I1, I0) (X##_f0 = I0, X##_f1 = I1) + +#define __FP_CLZ_2(R, xh, xl) \ + do \ + { \ + if (xh) \ + __FP_CLZ ((R), xh); \ + else \ + { \ + __FP_CLZ ((R), xl); \ + (R) += _FP_W_TYPE_SIZE; \ + } \ + } \ + while (0) + +#if 0 + +# ifndef __FP_FRAC_ADDI_2 +# define __FP_FRAC_ADDI_2(xh, xl, i) \ + (xh += ((xl += i) < i)) +# endif +# ifndef __FP_FRAC_ADD_2 +# define __FP_FRAC_ADD_2(rh, rl, xh, xl, yh, yl) \ + (rh = xh + yh + ((rl = xl + yl) < xl)) +# endif +# ifndef __FP_FRAC_SUB_2 +# define __FP_FRAC_SUB_2(rh, rl, xh, xl, yh, yl) \ + (rh = xh - yh - ((rl = xl - yl) > xl)) +# endif +# ifndef __FP_FRAC_DEC_2 +# define __FP_FRAC_DEC_2(xh, xl, yh, yl) \ + do \ + { \ + UWtype __FP_FRAC_DEC_2_t = xl; \ + xh -= yh + ((xl -= yl) > __FP_FRAC_DEC_2_t); \ + } \ + while (0) +# endif + +#else + +# undef __FP_FRAC_ADDI_2 +# define __FP_FRAC_ADDI_2(xh, xl, i) add_ssaaaa (xh, xl, xh, xl, 0, i) +# undef __FP_FRAC_ADD_2 +# define __FP_FRAC_ADD_2 add_ssaaaa +# undef __FP_FRAC_SUB_2 +# define __FP_FRAC_SUB_2 sub_ddmmss +# undef __FP_FRAC_DEC_2 +# define __FP_FRAC_DEC_2(xh, xl, yh, yl) \ + sub_ddmmss (xh, xl, xh, xl, yh, yl) + +#endif + +/* Unpack the raw bits of a native fp value. Do not classify or + normalize the data. */ + +#define _FP_UNPACK_RAW_2(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs _FP_UNPACK_RAW_2_flo; \ + _FP_UNPACK_RAW_2_flo.flt = (val); \ + \ + X##_f0 = _FP_UNPACK_RAW_2_flo.bits.frac0; \ + X##_f1 = _FP_UNPACK_RAW_2_flo.bits.frac1; \ + X##_e = _FP_UNPACK_RAW_2_flo.bits.exp; \ + X##_s = _FP_UNPACK_RAW_2_flo.bits.sign; \ + } \ + while (0) + +#define _FP_UNPACK_RAW_2_P(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs *_FP_UNPACK_RAW_2_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + X##_f0 = _FP_UNPACK_RAW_2_P_flo->bits.frac0; \ + X##_f1 = _FP_UNPACK_RAW_2_P_flo->bits.frac1; \ + X##_e = _FP_UNPACK_RAW_2_P_flo->bits.exp; \ + X##_s = _FP_UNPACK_RAW_2_P_flo->bits.sign; \ + } \ + while (0) + + +/* Repack the raw bits of a native fp value. */ + +#define _FP_PACK_RAW_2(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs _FP_PACK_RAW_2_flo; \ + \ + _FP_PACK_RAW_2_flo.bits.frac0 = X##_f0; \ + _FP_PACK_RAW_2_flo.bits.frac1 = X##_f1; \ + _FP_PACK_RAW_2_flo.bits.exp = X##_e; \ + _FP_PACK_RAW_2_flo.bits.sign = X##_s; \ + \ + (val) = _FP_PACK_RAW_2_flo.flt; \ + } \ + while (0) + +#define _FP_PACK_RAW_2_P(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs *_FP_PACK_RAW_2_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + _FP_PACK_RAW_2_P_flo->bits.frac0 = X##_f0; \ + _FP_PACK_RAW_2_P_flo->bits.frac1 = X##_f1; \ + _FP_PACK_RAW_2_P_flo->bits.exp = X##_e; \ + _FP_PACK_RAW_2_P_flo->bits.sign = X##_s; \ + } \ + while (0) + + +/* Multiplication algorithms: */ + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_DW_2_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_2_wide_b); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_2_wide_c); \ + \ + doit (_FP_FRAC_WORD_4 (R, 1), _FP_FRAC_WORD_4 (R, 0), \ + X##_f0, Y##_f0); \ + doit (_FP_MUL_MEAT_DW_2_wide_b_f1, _FP_MUL_MEAT_DW_2_wide_b_f0, \ + X##_f0, Y##_f1); \ + doit (_FP_MUL_MEAT_DW_2_wide_c_f1, _FP_MUL_MEAT_DW_2_wide_c_f0, \ + X##_f1, Y##_f0); \ + doit (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + X##_f1, Y##_f1); \ + \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1), 0, \ + _FP_MUL_MEAT_DW_2_wide_b_f1, \ + _FP_MUL_MEAT_DW_2_wide_b_f0, \ + _FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1), 0, \ + _FP_MUL_MEAT_DW_2_wide_c_f1, \ + _FP_MUL_MEAT_DW_2_wide_c_f0, \ + _FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1)); \ + } \ + while (0) + +#define _FP_MUL_MEAT_2_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_4 (_FP_MUL_MEAT_2_wide_z); \ + \ + _FP_MUL_MEAT_DW_2_wide ((wfracbits), _FP_MUL_MEAT_2_wide_z, \ + X, Y, doit); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_4 (_FP_MUL_MEAT_2_wide_z, (wfracbits)-1, \ + 2*(wfracbits)); \ + R##_f0 = _FP_FRAC_WORD_4 (_FP_MUL_MEAT_2_wide_z, 0); \ + R##_f1 = _FP_FRAC_WORD_4 (_FP_MUL_MEAT_2_wide_z, 1); \ + } \ + while (0) + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. + Do only 3 multiplications instead of four. This one is for machines + where multiplication is much more expensive than subtraction. */ + +#define _FP_MUL_MEAT_DW_2_wide_3mul(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_2_wide_3mul_b); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_2_wide_3mul_c); \ + _FP_W_TYPE _FP_MUL_MEAT_DW_2_wide_3mul_d; \ + int _FP_MUL_MEAT_DW_2_wide_3mul_c1; \ + int _FP_MUL_MEAT_DW_2_wide_3mul_c2; \ + \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f0 = X##_f0 + X##_f1; \ + _FP_MUL_MEAT_DW_2_wide_3mul_c1 \ + = _FP_MUL_MEAT_DW_2_wide_3mul_b_f0 < X##_f0; \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f1 = Y##_f0 + Y##_f1; \ + _FP_MUL_MEAT_DW_2_wide_3mul_c2 \ + = _FP_MUL_MEAT_DW_2_wide_3mul_b_f1 < Y##_f0; \ + doit (_FP_MUL_MEAT_DW_2_wide_3mul_d, _FP_FRAC_WORD_4 (R, 0), \ + X##_f0, Y##_f0); \ + doit (_FP_FRAC_WORD_4 (R, 2), _FP_FRAC_WORD_4 (R, 1), \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f0, \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f1); \ + doit (_FP_MUL_MEAT_DW_2_wide_3mul_c_f1, \ + _FP_MUL_MEAT_DW_2_wide_3mul_c_f0, X##_f1, Y##_f1); \ + \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f0 \ + &= -_FP_MUL_MEAT_DW_2_wide_3mul_c2; \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f1 \ + &= -_FP_MUL_MEAT_DW_2_wide_3mul_c1; \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1), \ + (_FP_MUL_MEAT_DW_2_wide_3mul_c1 \ + & _FP_MUL_MEAT_DW_2_wide_3mul_c2), 0, \ + _FP_MUL_MEAT_DW_2_wide_3mul_d, \ + 0, _FP_FRAC_WORD_4 (R, 2), _FP_FRAC_WORD_4 (R, 1)); \ + __FP_FRAC_ADDI_2 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f0); \ + __FP_FRAC_ADDI_2 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_MUL_MEAT_DW_2_wide_3mul_b_f1); \ + __FP_FRAC_DEC_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1), \ + 0, _FP_MUL_MEAT_DW_2_wide_3mul_d, \ + _FP_FRAC_WORD_4 (R, 0)); \ + __FP_FRAC_DEC_3 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_FRAC_WORD_4 (R, 1), 0, \ + _FP_MUL_MEAT_DW_2_wide_3mul_c_f1, \ + _FP_MUL_MEAT_DW_2_wide_3mul_c_f0); \ + __FP_FRAC_ADD_2 (_FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2), \ + _FP_MUL_MEAT_DW_2_wide_3mul_c_f1, \ + _FP_MUL_MEAT_DW_2_wide_3mul_c_f0, \ + _FP_FRAC_WORD_4 (R, 3), _FP_FRAC_WORD_4 (R, 2)); \ + } \ + while (0) + +#define _FP_MUL_MEAT_2_wide_3mul(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_4 (_FP_MUL_MEAT_2_wide_3mul_z); \ + \ + _FP_MUL_MEAT_DW_2_wide_3mul ((wfracbits), \ + _FP_MUL_MEAT_2_wide_3mul_z, \ + X, Y, doit); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_4 (_FP_MUL_MEAT_2_wide_3mul_z, \ + (wfracbits)-1, 2*(wfracbits)); \ + R##_f0 = _FP_FRAC_WORD_4 (_FP_MUL_MEAT_2_wide_3mul_z, 0); \ + R##_f1 = _FP_FRAC_WORD_4 (_FP_MUL_MEAT_2_wide_3mul_z, 1); \ + } \ + while (0) + +#define _FP_MUL_MEAT_DW_2_gmp(wfracbits, R, X, Y) \ + do \ + { \ + _FP_W_TYPE _FP_MUL_MEAT_DW_2_gmp_x[2]; \ + _FP_W_TYPE _FP_MUL_MEAT_DW_2_gmp_y[2]; \ + _FP_MUL_MEAT_DW_2_gmp_x[0] = X##_f0; \ + _FP_MUL_MEAT_DW_2_gmp_x[1] = X##_f1; \ + _FP_MUL_MEAT_DW_2_gmp_y[0] = Y##_f0; \ + _FP_MUL_MEAT_DW_2_gmp_y[1] = Y##_f1; \ + \ + mpn_mul_n (R##_f, _FP_MUL_MEAT_DW_2_gmp_x, \ + _FP_MUL_MEAT_DW_2_gmp_y, 2); \ + } \ + while (0) + +#define _FP_MUL_MEAT_2_gmp(wfracbits, R, X, Y) \ + do \ + { \ + _FP_FRAC_DECL_4 (_FP_MUL_MEAT_2_gmp_z); \ + \ + _FP_MUL_MEAT_DW_2_gmp ((wfracbits), _FP_MUL_MEAT_2_gmp_z, X, Y); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_4 (_FP_MUL_MEAT_2_gmp_z, (wfracbits)-1, \ + 2*(wfracbits)); \ + R##_f0 = _FP_MUL_MEAT_2_gmp_z_f[0]; \ + R##_f1 = _FP_MUL_MEAT_2_gmp_z_f[1]; \ + } \ + while (0) + +/* Do at most 120x120=240 bits multiplication using double floating + point multiplication. This is useful if floating point + multiplication has much bigger throughput than integer multiply. + It is supposed to work for _FP_W_TYPE_SIZE 64 and wfracbits + between 106 and 120 only. + Caller guarantees that X and Y has (1LLL << (wfracbits - 1)) set. + SETFETZ is a macro which will disable all FPU exceptions and set rounding + towards zero, RESETFE should optionally reset it back. */ + +#define _FP_MUL_MEAT_2_120_240_double(wfracbits, R, X, Y, setfetz, resetfe) \ + do \ + { \ + static const double _const[] = \ + { \ + /* 2^-24 */ 5.9604644775390625e-08, \ + /* 2^-48 */ 3.5527136788005009e-15, \ + /* 2^-72 */ 2.1175823681357508e-22, \ + /* 2^-96 */ 1.2621774483536189e-29, \ + /* 2^28 */ 2.68435456e+08, \ + /* 2^4 */ 1.600000e+01, \ + /* 2^-20 */ 9.5367431640625e-07, \ + /* 2^-44 */ 5.6843418860808015e-14, \ + /* 2^-68 */ 3.3881317890172014e-21, \ + /* 2^-92 */ 2.0194839173657902e-28, \ + /* 2^-116 */ 1.2037062152420224e-35 \ + }; \ + double _a240, _b240, _c240, _d240, _e240, _f240, \ + _g240, _h240, _i240, _j240, _k240; \ + union { double d; UDItype i; } _l240, _m240, _n240, _o240, \ + _p240, _q240, _r240, _s240; \ + UDItype _t240, _u240, _v240, _w240, _x240, _y240 = 0; \ + \ + if ((wfracbits) < 106 || (wfracbits) > 120) \ + abort (); \ + \ + setfetz; \ + \ + _e240 = (double) (long) (X##_f0 & 0xffffff); \ + _j240 = (double) (long) (Y##_f0 & 0xffffff); \ + _d240 = (double) (long) ((X##_f0 >> 24) & 0xffffff); \ + _i240 = (double) (long) ((Y##_f0 >> 24) & 0xffffff); \ + _c240 = (double) (long) (((X##_f1 << 16) & 0xffffff) | (X##_f0 >> 48)); \ + _h240 = (double) (long) (((Y##_f1 << 16) & 0xffffff) | (Y##_f0 >> 48)); \ + _b240 = (double) (long) ((X##_f1 >> 8) & 0xffffff); \ + _g240 = (double) (long) ((Y##_f1 >> 8) & 0xffffff); \ + _a240 = (double) (long) (X##_f1 >> 32); \ + _f240 = (double) (long) (Y##_f1 >> 32); \ + _e240 *= _const[3]; \ + _j240 *= _const[3]; \ + _d240 *= _const[2]; \ + _i240 *= _const[2]; \ + _c240 *= _const[1]; \ + _h240 *= _const[1]; \ + _b240 *= _const[0]; \ + _g240 *= _const[0]; \ + _s240.d = _e240*_j240; \ + _r240.d = _d240*_j240 + _e240*_i240; \ + _q240.d = _c240*_j240 + _d240*_i240 + _e240*_h240; \ + _p240.d = _b240*_j240 + _c240*_i240 + _d240*_h240 + _e240*_g240; \ + _o240.d = _a240*_j240 + _b240*_i240 + _c240*_h240 + _d240*_g240 + _e240*_f240; \ + _n240.d = _a240*_i240 + _b240*_h240 + _c240*_g240 + _d240*_f240; \ + _m240.d = _a240*_h240 + _b240*_g240 + _c240*_f240; \ + _l240.d = _a240*_g240 + _b240*_f240; \ + _k240 = _a240*_f240; \ + _r240.d += _s240.d; \ + _q240.d += _r240.d; \ + _p240.d += _q240.d; \ + _o240.d += _p240.d; \ + _n240.d += _o240.d; \ + _m240.d += _n240.d; \ + _l240.d += _m240.d; \ + _k240 += _l240.d; \ + _s240.d -= ((_const[10]+_s240.d)-_const[10]); \ + _r240.d -= ((_const[9]+_r240.d)-_const[9]); \ + _q240.d -= ((_const[8]+_q240.d)-_const[8]); \ + _p240.d -= ((_const[7]+_p240.d)-_const[7]); \ + _o240.d += _const[7]; \ + _n240.d += _const[6]; \ + _m240.d += _const[5]; \ + _l240.d += _const[4]; \ + if (_s240.d != 0.0) \ + _y240 = 1; \ + if (_r240.d != 0.0) \ + _y240 = 1; \ + if (_q240.d != 0.0) \ + _y240 = 1; \ + if (_p240.d != 0.0) \ + _y240 = 1; \ + _t240 = (DItype) _k240; \ + _u240 = _l240.i; \ + _v240 = _m240.i; \ + _w240 = _n240.i; \ + _x240 = _o240.i; \ + R##_f1 = ((_t240 << (128 - (wfracbits - 1))) \ + | ((_u240 & 0xffffff) >> ((wfracbits - 1) - 104))); \ + R##_f0 = (((_u240 & 0xffffff) << (168 - (wfracbits - 1))) \ + | ((_v240 & 0xffffff) << (144 - (wfracbits - 1))) \ + | ((_w240 & 0xffffff) << (120 - (wfracbits - 1))) \ + | ((_x240 & 0xffffff) >> ((wfracbits - 1) - 96)) \ + | _y240); \ + resetfe; \ + } \ + while (0) + +/* Division algorithms: */ + +#define _FP_DIV_MEAT_2_udiv(fs, R, X, Y) \ + do \ + { \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_n_f2; \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_n_f1; \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_n_f0; \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_r_f1; \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_r_f0; \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_m_f1; \ + _FP_W_TYPE _FP_DIV_MEAT_2_udiv_m_f0; \ + if (_FP_FRAC_GE_2 (X, Y)) \ + { \ + _FP_DIV_MEAT_2_udiv_n_f2 = X##_f1 >> 1; \ + _FP_DIV_MEAT_2_udiv_n_f1 \ + = X##_f1 << (_FP_W_TYPE_SIZE - 1) | X##_f0 >> 1; \ + _FP_DIV_MEAT_2_udiv_n_f0 \ + = X##_f0 << (_FP_W_TYPE_SIZE - 1); \ + } \ + else \ + { \ + R##_e--; \ + _FP_DIV_MEAT_2_udiv_n_f2 = X##_f1; \ + _FP_DIV_MEAT_2_udiv_n_f1 = X##_f0; \ + _FP_DIV_MEAT_2_udiv_n_f0 = 0; \ + } \ + \ + /* Normalize, i.e. make the most significant bit of the \ + denominator set. */ \ + _FP_FRAC_SLL_2 (Y, _FP_WFRACXBITS_##fs); \ + \ + udiv_qrnnd (R##_f1, _FP_DIV_MEAT_2_udiv_r_f1, \ + _FP_DIV_MEAT_2_udiv_n_f2, _FP_DIV_MEAT_2_udiv_n_f1, \ + Y##_f1); \ + umul_ppmm (_FP_DIV_MEAT_2_udiv_m_f1, _FP_DIV_MEAT_2_udiv_m_f0, \ + R##_f1, Y##_f0); \ + _FP_DIV_MEAT_2_udiv_r_f0 = _FP_DIV_MEAT_2_udiv_n_f0; \ + if (_FP_FRAC_GT_2 (_FP_DIV_MEAT_2_udiv_m, _FP_DIV_MEAT_2_udiv_r)) \ + { \ + R##_f1--; \ + _FP_FRAC_ADD_2 (_FP_DIV_MEAT_2_udiv_r, Y, \ + _FP_DIV_MEAT_2_udiv_r); \ + if (_FP_FRAC_GE_2 (_FP_DIV_MEAT_2_udiv_r, Y) \ + && _FP_FRAC_GT_2 (_FP_DIV_MEAT_2_udiv_m, \ + _FP_DIV_MEAT_2_udiv_r)) \ + { \ + R##_f1--; \ + _FP_FRAC_ADD_2 (_FP_DIV_MEAT_2_udiv_r, Y, \ + _FP_DIV_MEAT_2_udiv_r); \ + } \ + } \ + _FP_FRAC_DEC_2 (_FP_DIV_MEAT_2_udiv_r, _FP_DIV_MEAT_2_udiv_m); \ + \ + if (_FP_DIV_MEAT_2_udiv_r_f1 == Y##_f1) \ + { \ + /* This is a special case, not an optimization \ + (_FP_DIV_MEAT_2_udiv_r/Y##_f1 would not fit into UWtype). \ + As _FP_DIV_MEAT_2_udiv_r is guaranteed to be < Y, \ + R##_f0 can be either (UWtype)-1 or (UWtype)-2. But as we \ + know what kind of bits it is (sticky, guard, round), \ + we don't care. We also don't care what the reminder is, \ + because the guard bit will be set anyway. -jj */ \ + R##_f0 = -1; \ + } \ + else \ + { \ + udiv_qrnnd (R##_f0, _FP_DIV_MEAT_2_udiv_r_f1, \ + _FP_DIV_MEAT_2_udiv_r_f1, \ + _FP_DIV_MEAT_2_udiv_r_f0, Y##_f1); \ + umul_ppmm (_FP_DIV_MEAT_2_udiv_m_f1, \ + _FP_DIV_MEAT_2_udiv_m_f0, R##_f0, Y##_f0); \ + _FP_DIV_MEAT_2_udiv_r_f0 = 0; \ + if (_FP_FRAC_GT_2 (_FP_DIV_MEAT_2_udiv_m, \ + _FP_DIV_MEAT_2_udiv_r)) \ + { \ + R##_f0--; \ + _FP_FRAC_ADD_2 (_FP_DIV_MEAT_2_udiv_r, Y, \ + _FP_DIV_MEAT_2_udiv_r); \ + if (_FP_FRAC_GE_2 (_FP_DIV_MEAT_2_udiv_r, Y) \ + && _FP_FRAC_GT_2 (_FP_DIV_MEAT_2_udiv_m, \ + _FP_DIV_MEAT_2_udiv_r)) \ + { \ + R##_f0--; \ + _FP_FRAC_ADD_2 (_FP_DIV_MEAT_2_udiv_r, Y, \ + _FP_DIV_MEAT_2_udiv_r); \ + } \ + } \ + if (!_FP_FRAC_EQ_2 (_FP_DIV_MEAT_2_udiv_r, \ + _FP_DIV_MEAT_2_udiv_m)) \ + R##_f0 |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + + +/* Square root algorithms: + We have just one right now, maybe Newton approximation + should be added for those machines where division is fast. */ + +#define _FP_SQRT_MEAT_2(R, S, T, X, q) \ + do \ + { \ + while (q) \ + { \ + T##_f1 = S##_f1 + (q); \ + if (T##_f1 <= X##_f1) \ + { \ + S##_f1 = T##_f1 + (q); \ + X##_f1 -= T##_f1; \ + R##_f1 += (q); \ + } \ + _FP_FRAC_SLL_2 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while ((q) != _FP_WORK_ROUND) \ + { \ + T##_f0 = S##_f0 + (q); \ + T##_f1 = S##_f1; \ + if (T##_f1 < X##_f1 \ + || (T##_f1 == X##_f1 && T##_f0 <= X##_f0)) \ + { \ + S##_f0 = T##_f0 + (q); \ + S##_f1 += (T##_f0 > S##_f0); \ + _FP_FRAC_DEC_2 (X, T); \ + R##_f0 += (q); \ + } \ + _FP_FRAC_SLL_2 (X, 1); \ + (q) >>= 1; \ + } \ + if (X##_f0 | X##_f1) \ + { \ + if (S##_f1 < X##_f1 \ + || (S##_f1 == X##_f1 && S##_f0 < X##_f0)) \ + R##_f0 |= _FP_WORK_ROUND; \ + R##_f0 |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + + +/* Assembly/disassembly for converting to/from integral types. + No shifting or overflow handled here. */ + +#define _FP_FRAC_ASSEMBLE_2(r, X, rsize) \ + (void) (((rsize) <= _FP_W_TYPE_SIZE) \ + ? ({ (r) = X##_f0; }) \ + : ({ \ + (r) = X##_f1; \ + (r) <<= _FP_W_TYPE_SIZE; \ + (r) += X##_f0; \ + })) + +#define _FP_FRAC_DISASSEMBLE_2(X, r, rsize) \ + do \ + { \ + X##_f0 = (r); \ + X##_f1 = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> _FP_W_TYPE_SIZE); \ + } \ + while (0) + +/* Convert FP values between word sizes. */ + +#define _FP_FRAC_COPY_1_2(D, S) (D##_f = S##_f0) + +#define _FP_FRAC_COPY_2_1(D, S) ((D##_f0 = S##_f), (D##_f1 = 0)) + +#define _FP_FRAC_COPY_2_2(D, S) _FP_FRAC_COPY_2 (D, S) diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-4.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-4.h new file mode 100644 index 0000000000..d65c08afcc --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-4.h @@ -0,0 +1,870 @@ +/* Software floating-point emulation. + Basic four-word fraction declaration and manipulation. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define _FP_FRAC_DECL_4(X) _FP_W_TYPE X##_f[4] +#define _FP_FRAC_COPY_4(D, S) \ + (D##_f[0] = S##_f[0], D##_f[1] = S##_f[1], \ + D##_f[2] = S##_f[2], D##_f[3] = S##_f[3]) +#define _FP_FRAC_SET_4(X, I) __FP_FRAC_SET_4 (X, I) +#define _FP_FRAC_HIGH_4(X) (X##_f[3]) +#define _FP_FRAC_LOW_4(X) (X##_f[0]) +#define _FP_FRAC_WORD_4(X, w) (X##_f[w]) + +#define _FP_FRAC_SLL_4(X, N) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SLL_4_up, _FP_FRAC_SLL_4_down; \ + _FP_I_TYPE _FP_FRAC_SLL_4_skip, _FP_FRAC_SLL_4_i; \ + _FP_FRAC_SLL_4_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SLL_4_up = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SLL_4_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_4_up; \ + if (!_FP_FRAC_SLL_4_up) \ + for (_FP_FRAC_SLL_4_i = 3; \ + _FP_FRAC_SLL_4_i >= _FP_FRAC_SLL_4_skip; \ + --_FP_FRAC_SLL_4_i) \ + X##_f[_FP_FRAC_SLL_4_i] \ + = X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip]; \ + else \ + { \ + for (_FP_FRAC_SLL_4_i = 3; \ + _FP_FRAC_SLL_4_i > _FP_FRAC_SLL_4_skip; \ + --_FP_FRAC_SLL_4_i) \ + X##_f[_FP_FRAC_SLL_4_i] \ + = ((X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip] \ + << _FP_FRAC_SLL_4_up) \ + | (X##_f[_FP_FRAC_SLL_4_i-_FP_FRAC_SLL_4_skip-1] \ + >> _FP_FRAC_SLL_4_down)); \ + X##_f[_FP_FRAC_SLL_4_i--] = X##_f[0] << _FP_FRAC_SLL_4_up; \ + } \ + for (; _FP_FRAC_SLL_4_i >= 0; --_FP_FRAC_SLL_4_i) \ + X##_f[_FP_FRAC_SLL_4_i] = 0; \ + } \ + while (0) + +/* This one was broken too. */ +#define _FP_FRAC_SRL_4(X, N) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SRL_4_up, _FP_FRAC_SRL_4_down; \ + _FP_I_TYPE _FP_FRAC_SRL_4_skip, _FP_FRAC_SRL_4_i; \ + _FP_FRAC_SRL_4_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRL_4_down = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRL_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_4_down; \ + if (!_FP_FRAC_SRL_4_down) \ + for (_FP_FRAC_SRL_4_i = 0; \ + _FP_FRAC_SRL_4_i <= 3-_FP_FRAC_SRL_4_skip; \ + ++_FP_FRAC_SRL_4_i) \ + X##_f[_FP_FRAC_SRL_4_i] \ + = X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip]; \ + else \ + { \ + for (_FP_FRAC_SRL_4_i = 0; \ + _FP_FRAC_SRL_4_i < 3-_FP_FRAC_SRL_4_skip; \ + ++_FP_FRAC_SRL_4_i) \ + X##_f[_FP_FRAC_SRL_4_i] \ + = ((X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip] \ + >> _FP_FRAC_SRL_4_down) \ + | (X##_f[_FP_FRAC_SRL_4_i+_FP_FRAC_SRL_4_skip+1] \ + << _FP_FRAC_SRL_4_up)); \ + X##_f[_FP_FRAC_SRL_4_i++] = X##_f[3] >> _FP_FRAC_SRL_4_down; \ + } \ + for (; _FP_FRAC_SRL_4_i < 4; ++_FP_FRAC_SRL_4_i) \ + X##_f[_FP_FRAC_SRL_4_i] = 0; \ + } \ + while (0) + + +/* Right shift with sticky-lsb. + What this actually means is that we do a standard right-shift, + but that if any of the bits that fall off the right hand side + were one then we always set the LSbit. */ +#define _FP_FRAC_SRST_4(X, S, N, size) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SRST_4_up, _FP_FRAC_SRST_4_down; \ + _FP_I_TYPE _FP_FRAC_SRST_4_skip, _FP_FRAC_SRST_4_i; \ + _FP_W_TYPE _FP_FRAC_SRST_4_s; \ + _FP_FRAC_SRST_4_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRST_4_down = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRST_4_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRST_4_down; \ + for (_FP_FRAC_SRST_4_s = _FP_FRAC_SRST_4_i = 0; \ + _FP_FRAC_SRST_4_i < _FP_FRAC_SRST_4_skip; \ + ++_FP_FRAC_SRST_4_i) \ + _FP_FRAC_SRST_4_s |= X##_f[_FP_FRAC_SRST_4_i]; \ + if (!_FP_FRAC_SRST_4_down) \ + for (_FP_FRAC_SRST_4_i = 0; \ + _FP_FRAC_SRST_4_i <= 3-_FP_FRAC_SRST_4_skip; \ + ++_FP_FRAC_SRST_4_i) \ + X##_f[_FP_FRAC_SRST_4_i] \ + = X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip]; \ + else \ + { \ + _FP_FRAC_SRST_4_s \ + |= X##_f[_FP_FRAC_SRST_4_i] << _FP_FRAC_SRST_4_up; \ + for (_FP_FRAC_SRST_4_i = 0; \ + _FP_FRAC_SRST_4_i < 3-_FP_FRAC_SRST_4_skip; \ + ++_FP_FRAC_SRST_4_i) \ + X##_f[_FP_FRAC_SRST_4_i] \ + = ((X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip] \ + >> _FP_FRAC_SRST_4_down) \ + | (X##_f[_FP_FRAC_SRST_4_i+_FP_FRAC_SRST_4_skip+1] \ + << _FP_FRAC_SRST_4_up)); \ + X##_f[_FP_FRAC_SRST_4_i++] \ + = X##_f[3] >> _FP_FRAC_SRST_4_down; \ + } \ + for (; _FP_FRAC_SRST_4_i < 4; ++_FP_FRAC_SRST_4_i) \ + X##_f[_FP_FRAC_SRST_4_i] = 0; \ + S = (_FP_FRAC_SRST_4_s != 0); \ + } \ + while (0) + +#define _FP_FRAC_SRS_4(X, N, size) \ + do \ + { \ + int _FP_FRAC_SRS_4_sticky; \ + _FP_FRAC_SRST_4 (X, _FP_FRAC_SRS_4_sticky, (N), (size)); \ + X##_f[0] |= _FP_FRAC_SRS_4_sticky; \ + } \ + while (0) + +#define _FP_FRAC_ADD_4(R, X, Y) \ + __FP_FRAC_ADD_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ + X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_SUB_4(R, X, Y) \ + __FP_FRAC_SUB_4 (R##_f[3], R##_f[2], R##_f[1], R##_f[0], \ + X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_DEC_4(X, Y) \ + __FP_FRAC_DEC_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[3], Y##_f[2], Y##_f[1], Y##_f[0]) + +#define _FP_FRAC_ADDI_4(X, I) \ + __FP_FRAC_ADDI_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], I) + +#define _FP_ZEROFRAC_4 0, 0, 0, 0 +#define _FP_MINFRAC_4 0, 0, 0, 1 +#define _FP_MAXFRAC_4 (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0), (~(_FP_WS_TYPE) 0) + +#define _FP_FRAC_ZEROP_4(X) ((X##_f[0] | X##_f[1] | X##_f[2] | X##_f[3]) == 0) +#define _FP_FRAC_NEGP_4(X) ((_FP_WS_TYPE) X##_f[3] < 0) +#define _FP_FRAC_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) & _FP_OVERFLOW_##fs) +#define _FP_FRAC_HIGHBIT_DW_4(fs, X) \ + (_FP_FRAC_HIGH_DW_##fs (X) & _FP_HIGHBIT_DW_##fs) +#define _FP_FRAC_CLEAR_OVERP_4(fs, X) (_FP_FRAC_HIGH_##fs (X) &= ~_FP_OVERFLOW_##fs) + +#define _FP_FRAC_EQ_4(X, Y) \ + (X##_f[0] == Y##_f[0] && X##_f[1] == Y##_f[1] \ + && X##_f[2] == Y##_f[2] && X##_f[3] == Y##_f[3]) + +#define _FP_FRAC_GT_4(X, Y) \ + (X##_f[3] > Y##_f[3] \ + || (X##_f[3] == Y##_f[3] \ + && (X##_f[2] > Y##_f[2] \ + || (X##_f[2] == Y##_f[2] \ + && (X##_f[1] > Y##_f[1] \ + || (X##_f[1] == Y##_f[1] \ + && X##_f[0] > Y##_f[0])))))) + +#define _FP_FRAC_GE_4(X, Y) \ + (X##_f[3] > Y##_f[3] \ + || (X##_f[3] == Y##_f[3] \ + && (X##_f[2] > Y##_f[2] \ + || (X##_f[2] == Y##_f[2] \ + && (X##_f[1] > Y##_f[1] \ + || (X##_f[1] == Y##_f[1] \ + && X##_f[0] >= Y##_f[0])))))) + + +#define _FP_FRAC_CLZ_4(R, X) \ + do \ + { \ + if (X##_f[3]) \ + __FP_CLZ ((R), X##_f[3]); \ + else if (X##_f[2]) \ + { \ + __FP_CLZ ((R), X##_f[2]); \ + (R) += _FP_W_TYPE_SIZE; \ + } \ + else if (X##_f[1]) \ + { \ + __FP_CLZ ((R), X##_f[1]); \ + (R) += _FP_W_TYPE_SIZE*2; \ + } \ + else \ + { \ + __FP_CLZ ((R), X##_f[0]); \ + (R) += _FP_W_TYPE_SIZE*3; \ + } \ + } \ + while (0) + + +#define _FP_UNPACK_RAW_4(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs _FP_UNPACK_RAW_4_flo; \ + _FP_UNPACK_RAW_4_flo.flt = (val); \ + X##_f[0] = _FP_UNPACK_RAW_4_flo.bits.frac0; \ + X##_f[1] = _FP_UNPACK_RAW_4_flo.bits.frac1; \ + X##_f[2] = _FP_UNPACK_RAW_4_flo.bits.frac2; \ + X##_f[3] = _FP_UNPACK_RAW_4_flo.bits.frac3; \ + X##_e = _FP_UNPACK_RAW_4_flo.bits.exp; \ + X##_s = _FP_UNPACK_RAW_4_flo.bits.sign; \ + } \ + while (0) + +#define _FP_UNPACK_RAW_4_P(fs, X, val) \ + do \ + { \ + union _FP_UNION_##fs *_FP_UNPACK_RAW_4_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + X##_f[0] = _FP_UNPACK_RAW_4_P_flo->bits.frac0; \ + X##_f[1] = _FP_UNPACK_RAW_4_P_flo->bits.frac1; \ + X##_f[2] = _FP_UNPACK_RAW_4_P_flo->bits.frac2; \ + X##_f[3] = _FP_UNPACK_RAW_4_P_flo->bits.frac3; \ + X##_e = _FP_UNPACK_RAW_4_P_flo->bits.exp; \ + X##_s = _FP_UNPACK_RAW_4_P_flo->bits.sign; \ + } \ + while (0) + +#define _FP_PACK_RAW_4(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs _FP_PACK_RAW_4_flo; \ + _FP_PACK_RAW_4_flo.bits.frac0 = X##_f[0]; \ + _FP_PACK_RAW_4_flo.bits.frac1 = X##_f[1]; \ + _FP_PACK_RAW_4_flo.bits.frac2 = X##_f[2]; \ + _FP_PACK_RAW_4_flo.bits.frac3 = X##_f[3]; \ + _FP_PACK_RAW_4_flo.bits.exp = X##_e; \ + _FP_PACK_RAW_4_flo.bits.sign = X##_s; \ + (val) = _FP_PACK_RAW_4_flo.flt; \ + } \ + while (0) + +#define _FP_PACK_RAW_4_P(fs, val, X) \ + do \ + { \ + union _FP_UNION_##fs *_FP_PACK_RAW_4_P_flo \ + = (union _FP_UNION_##fs *) (val); \ + \ + _FP_PACK_RAW_4_P_flo->bits.frac0 = X##_f[0]; \ + _FP_PACK_RAW_4_P_flo->bits.frac1 = X##_f[1]; \ + _FP_PACK_RAW_4_P_flo->bits.frac2 = X##_f[2]; \ + _FP_PACK_RAW_4_P_flo->bits.frac3 = X##_f[3]; \ + _FP_PACK_RAW_4_P_flo->bits.exp = X##_e; \ + _FP_PACK_RAW_4_P_flo->bits.sign = X##_s; \ + } \ + while (0) + +/* Multiplication algorithms: */ + +/* Given a 1W * 1W => 2W primitive, do the extended multiplication. */ + +#define _FP_MUL_MEAT_DW_4_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_b); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_c); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_d); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_e); \ + _FP_FRAC_DECL_2 (_FP_MUL_MEAT_DW_4_wide_f); \ + \ + doit (_FP_FRAC_WORD_8 (R, 1), _FP_FRAC_WORD_8 (R, 0), \ + X##_f[0], Y##_f[0]); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ + X##_f[0], Y##_f[1]); \ + doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ + X##_f[1], Y##_f[0]); \ + doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ + X##_f[1], Y##_f[1]); \ + doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ + X##_f[0], Y##_f[2]); \ + doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ + X##_f[2], Y##_f[0]); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ + _FP_FRAC_WORD_8 (R, 1), 0, \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + 0, 0, _FP_FRAC_WORD_8 (R, 1)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ + _FP_FRAC_WORD_8 (R, 1), 0, \ + _FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, \ + _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2), \ + _FP_FRAC_WORD_8 (R, 1)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2), 0, \ + _FP_MUL_MEAT_DW_4_wide_d_f1, \ + _FP_MUL_MEAT_DW_4_wide_d_f0, \ + 0, _FP_FRAC_WORD_8 (R, 3), _FP_FRAC_WORD_8 (R, 2)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2), 0, \ + _FP_MUL_MEAT_DW_4_wide_e_f1, \ + _FP_MUL_MEAT_DW_4_wide_e_f0, \ + _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2), 0, \ + _FP_MUL_MEAT_DW_4_wide_f_f1, \ + _FP_MUL_MEAT_DW_4_wide_f_f0, \ + _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3), \ + _FP_FRAC_WORD_8 (R, 2)); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, X##_f[0], Y##_f[3]); \ + doit (_FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, X##_f[3], Y##_f[0]); \ + doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ + X##_f[1], Y##_f[2]); \ + doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ + X##_f[2], Y##_f[1]); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + 0, _FP_FRAC_WORD_8 (R, 4), _FP_FRAC_WORD_8 (R, 3)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, \ + _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_d_f1, \ + _FP_MUL_MEAT_DW_4_wide_d_f0, \ + _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3), 0, \ + _FP_MUL_MEAT_DW_4_wide_e_f1, \ + _FP_MUL_MEAT_DW_4_wide_e_f0, \ + _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4), \ + _FP_FRAC_WORD_8 (R, 3)); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ + X##_f[2], Y##_f[2]); \ + doit (_FP_MUL_MEAT_DW_4_wide_c_f1, _FP_MUL_MEAT_DW_4_wide_c_f0, \ + X##_f[1], Y##_f[3]); \ + doit (_FP_MUL_MEAT_DW_4_wide_d_f1, _FP_MUL_MEAT_DW_4_wide_d_f0, \ + X##_f[3], Y##_f[1]); \ + doit (_FP_MUL_MEAT_DW_4_wide_e_f1, _FP_MUL_MEAT_DW_4_wide_e_f0, \ + X##_f[2], Y##_f[3]); \ + doit (_FP_MUL_MEAT_DW_4_wide_f_f1, _FP_MUL_MEAT_DW_4_wide_f_f0, \ + X##_f[3], Y##_f[2]); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4), 0, \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + 0, _FP_FRAC_WORD_8 (R, 5), _FP_FRAC_WORD_8 (R, 4)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4), 0, \ + _FP_MUL_MEAT_DW_4_wide_c_f1, \ + _FP_MUL_MEAT_DW_4_wide_c_f0, \ + _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4), 0, \ + _FP_MUL_MEAT_DW_4_wide_d_f1, \ + _FP_MUL_MEAT_DW_4_wide_d_f0, \ + _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5), \ + _FP_FRAC_WORD_8 (R, 4)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_FRAC_WORD_8 (R, 5), 0, \ + _FP_MUL_MEAT_DW_4_wide_e_f1, \ + _FP_MUL_MEAT_DW_4_wide_e_f0, \ + 0, _FP_FRAC_WORD_8 (R, 6), _FP_FRAC_WORD_8 (R, 5)); \ + __FP_FRAC_ADD_3 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_FRAC_WORD_8 (R, 5), 0, \ + _FP_MUL_MEAT_DW_4_wide_f_f1, \ + _FP_MUL_MEAT_DW_4_wide_f_f0, \ + _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_FRAC_WORD_8 (R, 5)); \ + doit (_FP_MUL_MEAT_DW_4_wide_b_f1, _FP_MUL_MEAT_DW_4_wide_b_f0, \ + X##_f[3], Y##_f[3]); \ + __FP_FRAC_ADD_2 (_FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6), \ + _FP_MUL_MEAT_DW_4_wide_b_f1, \ + _FP_MUL_MEAT_DW_4_wide_b_f0, \ + _FP_FRAC_WORD_8 (R, 7), _FP_FRAC_WORD_8 (R, 6)); \ + } \ + while (0) + +#define _FP_MUL_MEAT_4_wide(wfracbits, R, X, Y, doit) \ + do \ + { \ + _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_wide_z); \ + \ + _FP_MUL_MEAT_DW_4_wide ((wfracbits), _FP_MUL_MEAT_4_wide_z, \ + X, Y, doit); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_wide_z, (wfracbits)-1, \ + 2*(wfracbits)); \ + __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 3), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 2), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 1), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_wide_z, 0)); \ + } \ + while (0) + +#define _FP_MUL_MEAT_DW_4_gmp(wfracbits, R, X, Y) \ + do \ + { \ + mpn_mul_n (R##_f, _x_f, _y_f, 4); \ + } \ + while (0) + +#define _FP_MUL_MEAT_4_gmp(wfracbits, R, X, Y) \ + do \ + { \ + _FP_FRAC_DECL_8 (_FP_MUL_MEAT_4_gmp_z); \ + \ + _FP_MUL_MEAT_DW_4_gmp ((wfracbits), _FP_MUL_MEAT_4_gmp_z, X, Y); \ + \ + /* Normalize since we know where the msb of the multiplicands \ + were (bit B), we know that the msb of the of the product is \ + at either 2B or 2B-1. */ \ + _FP_FRAC_SRS_8 (_FP_MUL_MEAT_4_gmp_z, (wfracbits)-1, \ + 2*(wfracbits)); \ + __FP_FRAC_SET_4 (R, _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 3), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 2), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 1), \ + _FP_FRAC_WORD_8 (_FP_MUL_MEAT_4_gmp_z, 0)); \ + } \ + while (0) + +/* Helper utility for _FP_DIV_MEAT_4_udiv: + * pppp = m * nnn. */ +#define umul_ppppmnnn(p3, p2, p1, p0, m, n2, n1, n0) \ + do \ + { \ + UWtype umul_ppppmnnn_t; \ + umul_ppmm (p1, p0, m, n0); \ + umul_ppmm (p2, umul_ppppmnnn_t, m, n1); \ + __FP_FRAC_ADDI_2 (p2, p1, umul_ppppmnnn_t); \ + umul_ppmm (p3, umul_ppppmnnn_t, m, n2); \ + __FP_FRAC_ADDI_2 (p3, p2, umul_ppppmnnn_t); \ + } \ + while (0) + +/* Division algorithms: */ + +#define _FP_DIV_MEAT_4_udiv(fs, R, X, Y) \ + do \ + { \ + int _FP_DIV_MEAT_4_udiv_i; \ + _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_n); \ + _FP_FRAC_DECL_4 (_FP_DIV_MEAT_4_udiv_m); \ + _FP_FRAC_SET_4 (_FP_DIV_MEAT_4_udiv_n, _FP_ZEROFRAC_4); \ + if (_FP_FRAC_GE_4 (X, Y)) \ + { \ + _FP_DIV_MEAT_4_udiv_n_f[3] \ + = X##_f[0] << (_FP_W_TYPE_SIZE - 1); \ + _FP_FRAC_SRL_4 (X, 1); \ + } \ + else \ + R##_e--; \ + \ + /* Normalize, i.e. make the most significant bit of the \ + denominator set. */ \ + _FP_FRAC_SLL_4 (Y, _FP_WFRACXBITS_##fs); \ + \ + for (_FP_DIV_MEAT_4_udiv_i = 3; ; _FP_DIV_MEAT_4_udiv_i--) \ + { \ + if (X##_f[3] == Y##_f[3]) \ + { \ + /* This is a special case, not an optimization \ + (X##_f[3]/Y##_f[3] would not fit into UWtype). \ + As X## is guaranteed to be < Y, \ + R##_f[_FP_DIV_MEAT_4_udiv_i] can be either \ + (UWtype)-1 or (UWtype)-2. */ \ + R##_f[_FP_DIV_MEAT_4_udiv_i] = -1; \ + if (!_FP_DIV_MEAT_4_udiv_i) \ + break; \ + __FP_FRAC_SUB_4 (X##_f[3], X##_f[2], X##_f[1], X##_f[0], \ + Y##_f[2], Y##_f[1], Y##_f[0], 0, \ + X##_f[2], X##_f[1], X##_f[0], \ + _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]); \ + _FP_FRAC_SUB_4 (X, Y, X); \ + if (X##_f[3] > Y##_f[3]) \ + { \ + R##_f[_FP_DIV_MEAT_4_udiv_i] = -2; \ + _FP_FRAC_ADD_4 (X, Y, X); \ + } \ + } \ + else \ + { \ + udiv_qrnnd (R##_f[_FP_DIV_MEAT_4_udiv_i], \ + X##_f[3], X##_f[3], X##_f[2], Y##_f[3]); \ + umul_ppppmnnn (_FP_DIV_MEAT_4_udiv_m_f[3], \ + _FP_DIV_MEAT_4_udiv_m_f[2], \ + _FP_DIV_MEAT_4_udiv_m_f[1], \ + _FP_DIV_MEAT_4_udiv_m_f[0], \ + R##_f[_FP_DIV_MEAT_4_udiv_i], \ + Y##_f[2], Y##_f[1], Y##_f[0]); \ + X##_f[2] = X##_f[1]; \ + X##_f[1] = X##_f[0]; \ + X##_f[0] \ + = _FP_DIV_MEAT_4_udiv_n_f[_FP_DIV_MEAT_4_udiv_i]; \ + if (_FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ + { \ + R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ + _FP_FRAC_ADD_4 (X, Y, X); \ + if (_FP_FRAC_GE_4 (X, Y) \ + && _FP_FRAC_GT_4 (_FP_DIV_MEAT_4_udiv_m, X)) \ + { \ + R##_f[_FP_DIV_MEAT_4_udiv_i]--; \ + _FP_FRAC_ADD_4 (X, Y, X); \ + } \ + } \ + _FP_FRAC_DEC_4 (X, _FP_DIV_MEAT_4_udiv_m); \ + if (!_FP_DIV_MEAT_4_udiv_i) \ + { \ + if (!_FP_FRAC_EQ_4 (X, _FP_DIV_MEAT_4_udiv_m)) \ + R##_f[0] |= _FP_WORK_STICKY; \ + break; \ + } \ + } \ + } \ + } \ + while (0) + + +/* Square root algorithms: + We have just one right now, maybe Newton approximation + should be added for those machines where division is fast. */ + +#define _FP_SQRT_MEAT_4(R, S, T, X, q) \ + do \ + { \ + while (q) \ + { \ + T##_f[3] = S##_f[3] + (q); \ + if (T##_f[3] <= X##_f[3]) \ + { \ + S##_f[3] = T##_f[3] + (q); \ + X##_f[3] -= T##_f[3]; \ + R##_f[3] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[2] = S##_f[2] + (q); \ + T##_f[3] = S##_f[3]; \ + if (T##_f[3] < X##_f[3] \ + || (T##_f[3] == X##_f[3] && T##_f[2] <= X##_f[2])) \ + { \ + S##_f[2] = T##_f[2] + (q); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + __FP_FRAC_DEC_2 (X##_f[3], X##_f[2], \ + T##_f[3], T##_f[2]); \ + R##_f[2] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while (q) \ + { \ + T##_f[1] = S##_f[1] + (q); \ + T##_f[2] = S##_f[2]; \ + T##_f[3] = S##_f[3]; \ + if (T##_f[3] < X##_f[3] \ + || (T##_f[3] == X##_f[3] \ + && (T##_f[2] < X##_f[2] \ + || (T##_f[2] == X##_f[2] \ + && T##_f[1] <= X##_f[1])))) \ + { \ + S##_f[1] = T##_f[1] + (q); \ + S##_f[2] += (T##_f[1] > S##_f[1]); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + __FP_FRAC_DEC_3 (X##_f[3], X##_f[2], X##_f[1], \ + T##_f[3], T##_f[2], T##_f[1]); \ + R##_f[1] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + (q) = (_FP_W_TYPE) 1 << (_FP_W_TYPE_SIZE - 1); \ + while ((q) != _FP_WORK_ROUND) \ + { \ + T##_f[0] = S##_f[0] + (q); \ + T##_f[1] = S##_f[1]; \ + T##_f[2] = S##_f[2]; \ + T##_f[3] = S##_f[3]; \ + if (_FP_FRAC_GE_4 (X, T)) \ + { \ + S##_f[0] = T##_f[0] + (q); \ + S##_f[1] += (T##_f[0] > S##_f[0]); \ + S##_f[2] += (T##_f[1] > S##_f[1]); \ + S##_f[3] += (T##_f[2] > S##_f[2]); \ + _FP_FRAC_DEC_4 (X, T); \ + R##_f[0] += (q); \ + } \ + _FP_FRAC_SLL_4 (X, 1); \ + (q) >>= 1; \ + } \ + if (!_FP_FRAC_ZEROP_4 (X)) \ + { \ + if (_FP_FRAC_GT_4 (X, S)) \ + R##_f[0] |= _FP_WORK_ROUND; \ + R##_f[0] |= _FP_WORK_STICKY; \ + } \ + } \ + while (0) + + +/* Internals. */ + +#define __FP_FRAC_SET_4(X, I3, I2, I1, I0) \ + (X##_f[3] = I3, X##_f[2] = I2, X##_f[1] = I1, X##_f[0] = I0) + +#ifndef __FP_FRAC_ADD_3 +# define __FP_FRAC_ADD_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_ADD_3_c1, __FP_FRAC_ADD_3_c2; \ + r0 = x0 + y0; \ + __FP_FRAC_ADD_3_c1 = r0 < x0; \ + r1 = x1 + y1; \ + __FP_FRAC_ADD_3_c2 = r1 < x1; \ + r1 += __FP_FRAC_ADD_3_c1; \ + __FP_FRAC_ADD_3_c2 |= r1 < __FP_FRAC_ADD_3_c1; \ + r2 = x2 + y2 + __FP_FRAC_ADD_3_c2; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_ADD_4 +# define __FP_FRAC_ADD_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_ADD_4_c1, __FP_FRAC_ADD_4_c2; \ + _FP_W_TYPE __FP_FRAC_ADD_4_c3; \ + r0 = x0 + y0; \ + __FP_FRAC_ADD_4_c1 = r0 < x0; \ + r1 = x1 + y1; \ + __FP_FRAC_ADD_4_c2 = r1 < x1; \ + r1 += __FP_FRAC_ADD_4_c1; \ + __FP_FRAC_ADD_4_c2 |= r1 < __FP_FRAC_ADD_4_c1; \ + r2 = x2 + y2; \ + __FP_FRAC_ADD_4_c3 = r2 < x2; \ + r2 += __FP_FRAC_ADD_4_c2; \ + __FP_FRAC_ADD_4_c3 |= r2 < __FP_FRAC_ADD_4_c2; \ + r3 = x3 + y3 + __FP_FRAC_ADD_4_c3; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_SUB_3 +# define __FP_FRAC_SUB_3(r2, r1, r0, x2, x1, x0, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_SUB_3_c1, __FP_FRAC_SUB_3_c2; \ + r0 = x0 - y0; \ + __FP_FRAC_SUB_3_c1 = r0 > x0; \ + r1 = x1 - y1; \ + __FP_FRAC_SUB_3_c2 = r1 > x1; \ + r1 -= __FP_FRAC_SUB_3_c1; \ + __FP_FRAC_SUB_3_c2 |= __FP_FRAC_SUB_3_c1 && (y1 == x1); \ + r2 = x2 - y2 - __FP_FRAC_SUB_3_c2; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_SUB_4 +# define __FP_FRAC_SUB_4(r3, r2, r1, r0, x3, x2, x1, x0, y3, y2, y1, y0) \ + do \ + { \ + _FP_W_TYPE __FP_FRAC_SUB_4_c1, __FP_FRAC_SUB_4_c2; \ + _FP_W_TYPE __FP_FRAC_SUB_4_c3; \ + r0 = x0 - y0; \ + __FP_FRAC_SUB_4_c1 = r0 > x0; \ + r1 = x1 - y1; \ + __FP_FRAC_SUB_4_c2 = r1 > x1; \ + r1 -= __FP_FRAC_SUB_4_c1; \ + __FP_FRAC_SUB_4_c2 |= __FP_FRAC_SUB_4_c1 && (y1 == x1); \ + r2 = x2 - y2; \ + __FP_FRAC_SUB_4_c3 = r2 > x2; \ + r2 -= __FP_FRAC_SUB_4_c2; \ + __FP_FRAC_SUB_4_c3 |= __FP_FRAC_SUB_4_c2 && (y2 == x2); \ + r3 = x3 - y3 - __FP_FRAC_SUB_4_c3; \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_DEC_3 +# define __FP_FRAC_DEC_3(x2, x1, x0, y2, y1, y0) \ + do \ + { \ + UWtype __FP_FRAC_DEC_3_t0, __FP_FRAC_DEC_3_t1; \ + UWtype __FP_FRAC_DEC_3_t2; \ + __FP_FRAC_DEC_3_t0 = x0; \ + __FP_FRAC_DEC_3_t1 = x1; \ + __FP_FRAC_DEC_3_t2 = x2; \ + __FP_FRAC_SUB_3 (x2, x1, x0, __FP_FRAC_DEC_3_t2, \ + __FP_FRAC_DEC_3_t1, __FP_FRAC_DEC_3_t0, \ + y2, y1, y0); \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_DEC_4 +# define __FP_FRAC_DEC_4(x3, x2, x1, x0, y3, y2, y1, y0) \ + do \ + { \ + UWtype __FP_FRAC_DEC_4_t0, __FP_FRAC_DEC_4_t1; \ + UWtype __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t3; \ + __FP_FRAC_DEC_4_t0 = x0; \ + __FP_FRAC_DEC_4_t1 = x1; \ + __FP_FRAC_DEC_4_t2 = x2; \ + __FP_FRAC_DEC_4_t3 = x3; \ + __FP_FRAC_SUB_4 (x3, x2, x1, x0, __FP_FRAC_DEC_4_t3, \ + __FP_FRAC_DEC_4_t2, __FP_FRAC_DEC_4_t1, \ + __FP_FRAC_DEC_4_t0, y3, y2, y1, y0); \ + } \ + while (0) +#endif + +#ifndef __FP_FRAC_ADDI_4 +# define __FP_FRAC_ADDI_4(x3, x2, x1, x0, i) \ + do \ + { \ + UWtype __FP_FRAC_ADDI_4_t; \ + __FP_FRAC_ADDI_4_t = ((x0 += i) < i); \ + x1 += __FP_FRAC_ADDI_4_t; \ + __FP_FRAC_ADDI_4_t = (x1 < __FP_FRAC_ADDI_4_t); \ + x2 += __FP_FRAC_ADDI_4_t; \ + __FP_FRAC_ADDI_4_t = (x2 < __FP_FRAC_ADDI_4_t); \ + x3 += __FP_FRAC_ADDI_4_t; \ + } \ + while (0) +#endif + +/* Convert FP values between word sizes. This appears to be more + complicated than I'd have expected it to be, so these might be + wrong... These macros are in any case somewhat bogus because they + use information about what various FRAC_n variables look like + internally [eg, that 2 word vars are X_f0 and x_f1]. But so do + the ones in op-2.h and op-1.h. */ +#define _FP_FRAC_COPY_1_4(D, S) (D##_f = S##_f[0]) + +#define _FP_FRAC_COPY_2_4(D, S) \ + do \ + { \ + D##_f0 = S##_f[0]; \ + D##_f1 = S##_f[1]; \ + } \ + while (0) + +/* Assembly/disassembly for converting to/from integral types. + No shifting or overflow handled here. */ +/* Put the FP value X into r, which is an integer of size rsize. */ +#define _FP_FRAC_ASSEMBLE_4(r, X, rsize) \ + do \ + { \ + if ((rsize) <= _FP_W_TYPE_SIZE) \ + (r) = X##_f[0]; \ + else if ((rsize) <= 2*_FP_W_TYPE_SIZE) \ + { \ + (r) = X##_f[1]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[0]; \ + } \ + else \ + { \ + /* I'm feeling lazy so we deal with int == 3words \ + (implausible) and int == 4words as a single case. */ \ + (r) = X##_f[3]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[2]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[1]; \ + (r) = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) << _FP_W_TYPE_SIZE); \ + (r) += X##_f[0]; \ + } \ + } \ + while (0) + +/* "No disassemble Number Five!" */ +/* Move an integer of size rsize into X's fractional part. We rely on + the _f[] array consisting of words of size _FP_W_TYPE_SIZE to avoid + having to mask the values we store into it. */ +#define _FP_FRAC_DISASSEMBLE_4(X, r, rsize) \ + do \ + { \ + X##_f[0] = (r); \ + X##_f[1] = ((rsize) <= _FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> _FP_W_TYPE_SIZE); \ + X##_f[2] = ((rsize) <= 2*_FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> 2*_FP_W_TYPE_SIZE); \ + X##_f[3] = ((rsize) <= 3*_FP_W_TYPE_SIZE \ + ? 0 \ + : (r) >> 3*_FP_W_TYPE_SIZE); \ + } \ + while (0) + +#define _FP_FRAC_COPY_4_1(D, S) \ + do \ + { \ + D##_f[0] = S##_f; \ + D##_f[1] = D##_f[2] = D##_f[3] = 0; \ + } \ + while (0) + +#define _FP_FRAC_COPY_4_2(D, S) \ + do \ + { \ + D##_f[0] = S##_f0; \ + D##_f[1] = S##_f1; \ + D##_f[2] = D##_f[3] = 0; \ + } \ + while (0) + +#define _FP_FRAC_COPY_4_4(D, S) _FP_FRAC_COPY_4 (D, S) diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-8.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-8.h new file mode 100644 index 0000000000..a47799f114 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-8.h @@ -0,0 +1,145 @@ +/* Software floating-point emulation. + Basic eight-word fraction declaration and manipulation. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +/* We need just a few things from here for op-4, if we ever need some + other macros, they can be added. */ +#define _FP_FRAC_DECL_8(X) _FP_W_TYPE X##_f[8] +#define _FP_FRAC_HIGH_8(X) (X##_f[7]) +#define _FP_FRAC_LOW_8(X) (X##_f[0]) +#define _FP_FRAC_WORD_8(X, w) (X##_f[w]) + +#define _FP_FRAC_SLL_8(X, N) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SLL_8_up, _FP_FRAC_SLL_8_down; \ + _FP_I_TYPE _FP_FRAC_SLL_8_skip, _FP_FRAC_SLL_8_i; \ + _FP_FRAC_SLL_8_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SLL_8_up = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SLL_8_down = _FP_W_TYPE_SIZE - _FP_FRAC_SLL_8_up; \ + if (!_FP_FRAC_SLL_8_up) \ + for (_FP_FRAC_SLL_8_i = 7; \ + _FP_FRAC_SLL_8_i >= _FP_FRAC_SLL_8_skip; \ + --_FP_FRAC_SLL_8_i) \ + X##_f[_FP_FRAC_SLL_8_i] \ + = X##_f[_FP_FRAC_SLL_8_i-_FP_FRAC_SLL_8_skip]; \ + else \ + { \ + for (_FP_FRAC_SLL_8_i = 7; \ + _FP_FRAC_SLL_8_i > _FP_FRAC_SLL_8_skip; \ + --_FP_FRAC_SLL_8_i) \ + X##_f[_FP_FRAC_SLL_8_i] \ + = ((X##_f[_FP_FRAC_SLL_8_i-_FP_FRAC_SLL_8_skip] \ + << _FP_FRAC_SLL_8_up) \ + | (X##_f[_FP_FRAC_SLL_8_i-_FP_FRAC_SLL_8_skip-1] \ + >> _FP_FRAC_SLL_8_down)); \ + X##_f[_FP_FRAC_SLL_8_i--] = X##_f[0] << _FP_FRAC_SLL_8_up; \ + } \ + for (; _FP_FRAC_SLL_8_i >= 0; --_FP_FRAC_SLL_8_i) \ + X##_f[_FP_FRAC_SLL_8_i] = 0; \ + } \ + while (0) + +#define _FP_FRAC_SRL_8(X, N) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SRL_8_up, _FP_FRAC_SRL_8_down; \ + _FP_I_TYPE _FP_FRAC_SRL_8_skip, _FP_FRAC_SRL_8_i; \ + _FP_FRAC_SRL_8_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRL_8_down = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRL_8_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRL_8_down; \ + if (!_FP_FRAC_SRL_8_down) \ + for (_FP_FRAC_SRL_8_i = 0; \ + _FP_FRAC_SRL_8_i <= 7-_FP_FRAC_SRL_8_skip; \ + ++_FP_FRAC_SRL_8_i) \ + X##_f[_FP_FRAC_SRL_8_i] \ + = X##_f[_FP_FRAC_SRL_8_i+_FP_FRAC_SRL_8_skip]; \ + else \ + { \ + for (_FP_FRAC_SRL_8_i = 0; \ + _FP_FRAC_SRL_8_i < 7-_FP_FRAC_SRL_8_skip; \ + ++_FP_FRAC_SRL_8_i) \ + X##_f[_FP_FRAC_SRL_8_i] \ + = ((X##_f[_FP_FRAC_SRL_8_i+_FP_FRAC_SRL_8_skip] \ + >> _FP_FRAC_SRL_8_down) \ + | (X##_f[_FP_FRAC_SRL_8_i+_FP_FRAC_SRL_8_skip+1] \ + << _FP_FRAC_SRL_8_up)); \ + X##_f[_FP_FRAC_SRL_8_i++] = X##_f[7] >> _FP_FRAC_SRL_8_down; \ + } \ + for (; _FP_FRAC_SRL_8_i < 8; ++_FP_FRAC_SRL_8_i) \ + X##_f[_FP_FRAC_SRL_8_i] = 0; \ + } \ + while (0) + + +/* Right shift with sticky-lsb. + What this actually means is that we do a standard right-shift, + but that if any of the bits that fall off the right hand side + were one then we always set the LSbit. */ +#define _FP_FRAC_SRS_8(X, N, size) \ + do \ + { \ + _FP_I_TYPE _FP_FRAC_SRS_8_up, _FP_FRAC_SRS_8_down; \ + _FP_I_TYPE _FP_FRAC_SRS_8_skip, _FP_FRAC_SRS_8_i; \ + _FP_W_TYPE _FP_FRAC_SRS_8_s; \ + _FP_FRAC_SRS_8_skip = (N) / _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRS_8_down = (N) % _FP_W_TYPE_SIZE; \ + _FP_FRAC_SRS_8_up = _FP_W_TYPE_SIZE - _FP_FRAC_SRS_8_down; \ + for (_FP_FRAC_SRS_8_s = _FP_FRAC_SRS_8_i = 0; \ + _FP_FRAC_SRS_8_i < _FP_FRAC_SRS_8_skip; \ + ++_FP_FRAC_SRS_8_i) \ + _FP_FRAC_SRS_8_s |= X##_f[_FP_FRAC_SRS_8_i]; \ + if (!_FP_FRAC_SRS_8_down) \ + for (_FP_FRAC_SRS_8_i = 0; \ + _FP_FRAC_SRS_8_i <= 7-_FP_FRAC_SRS_8_skip; \ + ++_FP_FRAC_SRS_8_i) \ + X##_f[_FP_FRAC_SRS_8_i] \ + = X##_f[_FP_FRAC_SRS_8_i+_FP_FRAC_SRS_8_skip]; \ + else \ + { \ + _FP_FRAC_SRS_8_s \ + |= X##_f[_FP_FRAC_SRS_8_i] << _FP_FRAC_SRS_8_up; \ + for (_FP_FRAC_SRS_8_i = 0; \ + _FP_FRAC_SRS_8_i < 7-_FP_FRAC_SRS_8_skip; \ + ++_FP_FRAC_SRS_8_i) \ + X##_f[_FP_FRAC_SRS_8_i] \ + = ((X##_f[_FP_FRAC_SRS_8_i+_FP_FRAC_SRS_8_skip] \ + >> _FP_FRAC_SRS_8_down) \ + | (X##_f[_FP_FRAC_SRS_8_i+_FP_FRAC_SRS_8_skip+1] \ + << _FP_FRAC_SRS_8_up)); \ + X##_f[_FP_FRAC_SRS_8_i++] = X##_f[7] >> _FP_FRAC_SRS_8_down; \ + } \ + for (; _FP_FRAC_SRS_8_i < 8; ++_FP_FRAC_SRS_8_i) \ + X##_f[_FP_FRAC_SRS_8_i] = 0; \ + /* Don't fix the LSB until the very end when we're sure f[0] is \ + stable. */ \ + X##_f[0] |= (_FP_FRAC_SRS_8_s != 0); \ + } \ + while (0) diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-common.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-common.h new file mode 100644 index 0000000000..73fbe7af25 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/op-common.h @@ -0,0 +1,1846 @@ +/* Software floating-point emulation. Common operations. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#define _FP_DECL(wc, X) \ + _FP_I_TYPE X##_c __attribute__ ((unused)); \ + _FP_I_TYPE X##_s __attribute__ ((unused)); \ + _FP_I_TYPE X##_e __attribute__ ((unused)); \ + _FP_FRAC_DECL_##wc (X) + +/* Test whether the qNaN bit denotes a signaling NaN. */ +#define _FP_FRAC_SNANP(fs, X) \ + ((_FP_QNANNEGATEDP) \ + ? (_FP_FRAC_HIGH_RAW_##fs (X) & _FP_QNANBIT_##fs) \ + : !(_FP_FRAC_HIGH_RAW_##fs (X) & _FP_QNANBIT_##fs)) +#define _FP_FRAC_SNANP_SEMIRAW(fs, X) \ + ((_FP_QNANNEGATEDP) \ + ? (_FP_FRAC_HIGH_##fs (X) & _FP_QNANBIT_SH_##fs) \ + : !(_FP_FRAC_HIGH_##fs (X) & _FP_QNANBIT_SH_##fs)) + +/* Finish truly unpacking a native fp value by classifying the kind + of fp value and normalizing both the exponent and the fraction. */ + +#define _FP_UNPACK_CANONICAL(fs, wc, X) \ + do \ + { \ + switch (X##_e) \ + { \ + default: \ + _FP_FRAC_HIGH_RAW_##fs (X) |= _FP_IMPLBIT_##fs; \ + _FP_FRAC_SLL_##wc (X, _FP_WORKBITS); \ + X##_e -= _FP_EXPBIAS_##fs; \ + X##_c = FP_CLS_NORMAL; \ + break; \ + \ + case 0: \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + X##_c = FP_CLS_ZERO; \ + else if (FP_DENORM_ZERO) \ + { \ + X##_c = FP_CLS_ZERO; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + } \ + else \ + { \ + /* A denormalized number. */ \ + _FP_I_TYPE _FP_UNPACK_CANONICAL_shift; \ + _FP_FRAC_CLZ_##wc (_FP_UNPACK_CANONICAL_shift, \ + X); \ + _FP_UNPACK_CANONICAL_shift -= _FP_FRACXBITS_##fs; \ + _FP_FRAC_SLL_##wc (X, (_FP_UNPACK_CANONICAL_shift \ + + _FP_WORKBITS)); \ + X##_e -= (_FP_EXPBIAS_##fs - 1 \ + + _FP_UNPACK_CANONICAL_shift); \ + X##_c = FP_CLS_NORMAL; \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + } \ + break; \ + \ + case _FP_EXPMAX_##fs: \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + X##_c = FP_CLS_INF; \ + else \ + { \ + X##_c = FP_CLS_NAN; \ + /* Check for signaling NaN. */ \ + if (_FP_FRAC_SNANP (fs, X)) \ + FP_SET_EXCEPTION (FP_EX_INVALID \ + | FP_EX_INVALID_SNAN); \ + } \ + break; \ + } \ + } \ + while (0) + +/* Finish unpacking an fp value in semi-raw mode: the mantissa is + shifted by _FP_WORKBITS but the implicit MSB is not inserted and + other classification is not done. */ +#define _FP_UNPACK_SEMIRAW(fs, wc, X) _FP_FRAC_SLL_##wc (X, _FP_WORKBITS) + +/* Check whether a raw or semi-raw input value should be flushed to + zero, and flush it to zero if so. */ +#define _FP_CHECK_FLUSH_ZERO(fs, wc, X) \ + do \ + { \ + if (FP_DENORM_ZERO \ + && X##_e == 0 \ + && !_FP_FRAC_ZEROP_##wc (X)) \ + { \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + } \ + } \ + while (0) + +/* A semi-raw value has overflowed to infinity. Adjust the mantissa + and exponent appropriately. */ +#define _FP_OVERFLOW_SEMIRAW(fs, wc, X) \ + do \ + { \ + if (FP_ROUNDMODE == FP_RND_NEAREST \ + || (FP_ROUNDMODE == FP_RND_PINF && !X##_s) \ + || (FP_ROUNDMODE == FP_RND_MINF && X##_s)) \ + { \ + X##_e = _FP_EXPMAX_##fs; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + } \ + else \ + { \ + X##_e = _FP_EXPMAX_##fs - 1; \ + _FP_FRAC_SET_##wc (X, _FP_MAXFRAC_##wc); \ + } \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + FP_SET_EXCEPTION (FP_EX_OVERFLOW); \ + } \ + while (0) + +/* Check for a semi-raw value being a signaling NaN and raise the + invalid exception if so. */ +#define _FP_CHECK_SIGNAN_SEMIRAW(fs, wc, X) \ + do \ + { \ + if (X##_e == _FP_EXPMAX_##fs \ + && !_FP_FRAC_ZEROP_##wc (X) \ + && _FP_FRAC_SNANP_SEMIRAW (fs, X)) \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_SNAN); \ + } \ + while (0) + +/* Choose a NaN result from an operation on two semi-raw NaN + values. */ +#define _FP_CHOOSENAN_SEMIRAW(fs, wc, R, X, Y, OP) \ + do \ + { \ + /* _FP_CHOOSENAN expects raw values, so shift as required. */ \ + _FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \ + _FP_FRAC_SRL_##wc (Y, _FP_WORKBITS); \ + _FP_CHOOSENAN (fs, wc, R, X, Y, OP); \ + _FP_FRAC_SLL_##wc (R, _FP_WORKBITS); \ + } \ + while (0) + +/* Make the fractional part a quiet NaN, preserving the payload + if possible, otherwise make it the canonical quiet NaN and set + the sign bit accordingly. */ +#define _FP_SETQNAN(fs, wc, X) \ + do \ + { \ + if (_FP_QNANNEGATEDP) \ + { \ + _FP_FRAC_HIGH_RAW_##fs (X) &= _FP_QNANBIT_##fs - 1; \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + X##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \ + } \ + } \ + else \ + _FP_FRAC_HIGH_RAW_##fs (X) |= _FP_QNANBIT_##fs; \ + } \ + while (0) +#define _FP_SETQNAN_SEMIRAW(fs, wc, X) \ + do \ + { \ + if (_FP_QNANNEGATEDP) \ + { \ + _FP_FRAC_HIGH_##fs (X) &= _FP_QNANBIT_SH_##fs - 1; \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + X##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \ + _FP_FRAC_SLL_##wc (X, _FP_WORKBITS); \ + } \ + } \ + else \ + _FP_FRAC_HIGH_##fs (X) |= _FP_QNANBIT_SH_##fs; \ + } \ + while (0) + +/* Test whether a biased exponent is normal (not zero or maximum). */ +#define _FP_EXP_NORMAL(fs, wc, X) (((X##_e + 1) & _FP_EXPMAX_##fs) > 1) + +/* Prepare to pack an fp value in semi-raw mode: the mantissa is + rounded and shifted right, with the rounding possibly increasing + the exponent (including changing a finite value to infinity). */ +#define _FP_PACK_SEMIRAW(fs, wc, X) \ + do \ + { \ + int _FP_PACK_SEMIRAW_is_tiny \ + = X##_e == 0 && !_FP_FRAC_ZEROP_##wc (X); \ + if (_FP_TININESS_AFTER_ROUNDING \ + && _FP_PACK_SEMIRAW_is_tiny) \ + { \ + FP_DECL_##fs (_FP_PACK_SEMIRAW_T); \ + _FP_FRAC_COPY_##wc (_FP_PACK_SEMIRAW_T, X); \ + _FP_PACK_SEMIRAW_T##_s = X##_s; \ + _FP_PACK_SEMIRAW_T##_e = X##_e; \ + _FP_FRAC_SLL_##wc (_FP_PACK_SEMIRAW_T, 1); \ + _FP_ROUND (wc, _FP_PACK_SEMIRAW_T); \ + if (_FP_FRAC_OVERP_##wc (fs, _FP_PACK_SEMIRAW_T)) \ + _FP_PACK_SEMIRAW_is_tiny = 0; \ + } \ + _FP_ROUND (wc, X); \ + if (_FP_PACK_SEMIRAW_is_tiny) \ + { \ + if ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \ + || (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW)) \ + FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \ + } \ + if (_FP_FRAC_HIGH_##fs (X) \ + & (_FP_OVERFLOW_##fs >> 1)) \ + { \ + _FP_FRAC_HIGH_##fs (X) &= ~(_FP_OVERFLOW_##fs >> 1); \ + X##_e++; \ + if (X##_e == _FP_EXPMAX_##fs) \ + _FP_OVERFLOW_SEMIRAW (fs, wc, X); \ + } \ + _FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \ + if (X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \ + { \ + if (!_FP_KEEPNANFRACP) \ + { \ + _FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \ + X##_s = _FP_NANSIGN_##fs; \ + } \ + else \ + _FP_SETQNAN (fs, wc, X); \ + } \ + } \ + while (0) + +/* Before packing the bits back into the native fp result, take care + of such mundane things as rounding and overflow. Also, for some + kinds of fp values, the original parts may not have been fully + extracted -- but that is ok, we can regenerate them now. */ + +#define _FP_PACK_CANONICAL(fs, wc, X) \ + do \ + { \ + switch (X##_c) \ + { \ + case FP_CLS_NORMAL: \ + X##_e += _FP_EXPBIAS_##fs; \ + if (X##_e > 0) \ + { \ + _FP_ROUND (wc, X); \ + if (_FP_FRAC_OVERP_##wc (fs, X)) \ + { \ + _FP_FRAC_CLEAR_OVERP_##wc (fs, X); \ + X##_e++; \ + } \ + _FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \ + if (X##_e >= _FP_EXPMAX_##fs) \ + { \ + /* Overflow. */ \ + switch (FP_ROUNDMODE) \ + { \ + case FP_RND_NEAREST: \ + X##_c = FP_CLS_INF; \ + break; \ + case FP_RND_PINF: \ + if (!X##_s) \ + X##_c = FP_CLS_INF; \ + break; \ + case FP_RND_MINF: \ + if (X##_s) \ + X##_c = FP_CLS_INF; \ + break; \ + } \ + if (X##_c == FP_CLS_INF) \ + { \ + /* Overflow to infinity. */ \ + X##_e = _FP_EXPMAX_##fs; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + } \ + else \ + { \ + /* Overflow to maximum normal. */ \ + X##_e = _FP_EXPMAX_##fs - 1; \ + _FP_FRAC_SET_##wc (X, _FP_MAXFRAC_##wc); \ + } \ + FP_SET_EXCEPTION (FP_EX_OVERFLOW); \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + } \ + } \ + else \ + { \ + /* We've got a denormalized number. */ \ + int _FP_PACK_CANONICAL_is_tiny = 1; \ + if (_FP_TININESS_AFTER_ROUNDING && X##_e == 0) \ + { \ + FP_DECL_##fs (_FP_PACK_CANONICAL_T); \ + _FP_FRAC_COPY_##wc (_FP_PACK_CANONICAL_T, X); \ + _FP_PACK_CANONICAL_T##_s = X##_s; \ + _FP_PACK_CANONICAL_T##_e = X##_e; \ + _FP_ROUND (wc, _FP_PACK_CANONICAL_T); \ + if (_FP_FRAC_OVERP_##wc (fs, _FP_PACK_CANONICAL_T)) \ + _FP_PACK_CANONICAL_is_tiny = 0; \ + } \ + X##_e = -X##_e + 1; \ + if (X##_e <= _FP_WFRACBITS_##fs) \ + { \ + _FP_FRAC_SRS_##wc (X, X##_e, _FP_WFRACBITS_##fs); \ + _FP_ROUND (wc, X); \ + if (_FP_FRAC_HIGH_##fs (X) \ + & (_FP_OVERFLOW_##fs >> 1)) \ + { \ + X##_e = 1; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + } \ + else \ + { \ + X##_e = 0; \ + _FP_FRAC_SRL_##wc (X, _FP_WORKBITS); \ + } \ + if (_FP_PACK_CANONICAL_is_tiny \ + && ((FP_CUR_EXCEPTIONS & FP_EX_INEXACT) \ + || (FP_TRAPPING_EXCEPTIONS \ + & FP_EX_UNDERFLOW))) \ + FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \ + } \ + else \ + { \ + /* Underflow to zero. */ \ + X##_e = 0; \ + if (!_FP_FRAC_ZEROP_##wc (X)) \ + { \ + _FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \ + _FP_ROUND (wc, X); \ + _FP_FRAC_LOW_##wc (X) >>= (_FP_WORKBITS); \ + } \ + FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \ + } \ + } \ + break; \ + \ + case FP_CLS_ZERO: \ + X##_e = 0; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + break; \ + \ + case FP_CLS_INF: \ + X##_e = _FP_EXPMAX_##fs; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + break; \ + \ + case FP_CLS_NAN: \ + X##_e = _FP_EXPMAX_##fs; \ + if (!_FP_KEEPNANFRACP) \ + { \ + _FP_FRAC_SET_##wc (X, _FP_NANFRAC_##fs); \ + X##_s = _FP_NANSIGN_##fs; \ + } \ + else \ + _FP_SETQNAN (fs, wc, X); \ + break; \ + } \ + } \ + while (0) + +/* This one accepts raw argument and not cooked, returns + 1 if X is a signaling NaN. */ +#define _FP_ISSIGNAN(fs, wc, X) \ + ({ \ + int _FP_ISSIGNAN_ret = 0; \ + if (X##_e == _FP_EXPMAX_##fs) \ + { \ + if (!_FP_FRAC_ZEROP_##wc (X) \ + && _FP_FRAC_SNANP (fs, X)) \ + _FP_ISSIGNAN_ret = 1; \ + } \ + _FP_ISSIGNAN_ret; \ + }) + + + + + +/* Addition on semi-raw values. */ +#define _FP_ADD_INTERNAL(fs, wc, R, X, Y, OP) \ + do \ + { \ + _FP_CHECK_FLUSH_ZERO (fs, wc, X); \ + _FP_CHECK_FLUSH_ZERO (fs, wc, Y); \ + if (X##_s == Y##_s) \ + { \ + /* Addition. */ \ + R##_s = X##_s; \ + int _FP_ADD_INTERNAL_ediff = X##_e - Y##_e; \ + if (_FP_ADD_INTERNAL_ediff > 0) \ + { \ + R##_e = X##_e; \ + if (Y##_e == 0) \ + { \ + /* Y is zero or denormalized. */ \ + if (_FP_FRAC_ZEROP_##wc (Y)) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto add_done; \ + } \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_ADD_INTERNAL_ediff--; \ + if (_FP_ADD_INTERNAL_ediff == 0) \ + { \ + _FP_FRAC_ADD_##wc (R, X, Y); \ + goto add3; \ + } \ + if (X##_e == _FP_EXPMAX_##fs) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto add_done; \ + } \ + goto add1; \ + } \ + } \ + else if (X##_e == _FP_EXPMAX_##fs) \ + { \ + /* X is NaN or Inf, Y is normal. */ \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto add_done; \ + } \ + \ + /* Insert implicit MSB of Y. */ \ + _FP_FRAC_HIGH_##fs (Y) |= _FP_IMPLBIT_SH_##fs; \ + \ + add1: \ + /* Shift the mantissa of Y to the right \ + _FP_ADD_INTERNAL_EDIFF steps; remember to account \ + later for the implicit MSB of X. */ \ + if (_FP_ADD_INTERNAL_ediff <= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SRS_##wc (Y, _FP_ADD_INTERNAL_ediff, \ + _FP_WFRACBITS_##fs); \ + else if (!_FP_FRAC_ZEROP_##wc (Y)) \ + _FP_FRAC_SET_##wc (Y, _FP_MINFRAC_##wc); \ + _FP_FRAC_ADD_##wc (R, X, Y); \ + } \ + else if (_FP_ADD_INTERNAL_ediff < 0) \ + { \ + _FP_ADD_INTERNAL_ediff = -_FP_ADD_INTERNAL_ediff; \ + R##_e = Y##_e; \ + if (X##_e == 0) \ + { \ + /* X is zero or denormalized. */ \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto add_done; \ + } \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_ADD_INTERNAL_ediff--; \ + if (_FP_ADD_INTERNAL_ediff == 0) \ + { \ + _FP_FRAC_ADD_##wc (R, Y, X); \ + goto add3; \ + } \ + if (Y##_e == _FP_EXPMAX_##fs) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto add_done; \ + } \ + goto add2; \ + } \ + } \ + else if (Y##_e == _FP_EXPMAX_##fs) \ + { \ + /* Y is NaN or Inf, X is normal. */ \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto add_done; \ + } \ + \ + /* Insert implicit MSB of X. */ \ + _FP_FRAC_HIGH_##fs (X) |= _FP_IMPLBIT_SH_##fs; \ + \ + add2: \ + /* Shift the mantissa of X to the right \ + _FP_ADD_INTERNAL_EDIFF steps; remember to account \ + later for the implicit MSB of Y. */ \ + if (_FP_ADD_INTERNAL_ediff <= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SRS_##wc (X, _FP_ADD_INTERNAL_ediff, \ + _FP_WFRACBITS_##fs); \ + else if (!_FP_FRAC_ZEROP_##wc (X)) \ + _FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \ + _FP_FRAC_ADD_##wc (R, Y, X); \ + } \ + else \ + { \ + /* _FP_ADD_INTERNAL_ediff == 0. */ \ + if (!_FP_EXP_NORMAL (fs, wc, X)) \ + { \ + if (X##_e == 0) \ + { \ + /* X and Y are zero or denormalized. */ \ + R##_e = 0; \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + if (!_FP_FRAC_ZEROP_##wc (Y)) \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto add_done; \ + } \ + else if (_FP_FRAC_ZEROP_##wc (Y)) \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto add_done; \ + } \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_ADD_##wc (R, X, Y); \ + if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \ + { \ + /* Normalized result. */ \ + _FP_FRAC_HIGH_##fs (R) \ + &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \ + R##_e = 1; \ + } \ + goto add_done; \ + } \ + } \ + else \ + { \ + /* X and Y are NaN or Inf. */ \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + R##_e = _FP_EXPMAX_##fs; \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + _FP_FRAC_COPY_##wc (R, Y); \ + else if (_FP_FRAC_ZEROP_##wc (Y)) \ + _FP_FRAC_COPY_##wc (R, X); \ + else \ + _FP_CHOOSENAN_SEMIRAW (fs, wc, R, X, Y, OP); \ + goto add_done; \ + } \ + } \ + /* The exponents of X and Y, both normal, are equal. The \ + implicit MSBs will always add to increase the \ + exponent. */ \ + _FP_FRAC_ADD_##wc (R, X, Y); \ + R##_e = X##_e + 1; \ + _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \ + if (R##_e == _FP_EXPMAX_##fs) \ + /* Overflow to infinity (depending on rounding mode). */ \ + _FP_OVERFLOW_SEMIRAW (fs, wc, R); \ + goto add_done; \ + } \ + add3: \ + if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \ + { \ + /* Overflow. */ \ + _FP_FRAC_HIGH_##fs (R) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \ + R##_e++; \ + _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \ + if (R##_e == _FP_EXPMAX_##fs) \ + /* Overflow to infinity (depending on rounding mode). */ \ + _FP_OVERFLOW_SEMIRAW (fs, wc, R); \ + } \ + add_done: ; \ + } \ + else \ + { \ + /* Subtraction. */ \ + int _FP_ADD_INTERNAL_ediff = X##_e - Y##_e; \ + if (_FP_ADD_INTERNAL_ediff > 0) \ + { \ + R##_e = X##_e; \ + R##_s = X##_s; \ + if (Y##_e == 0) \ + { \ + /* Y is zero or denormalized. */ \ + if (_FP_FRAC_ZEROP_##wc (Y)) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto sub_done; \ + } \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_ADD_INTERNAL_ediff--; \ + if (_FP_ADD_INTERNAL_ediff == 0) \ + { \ + _FP_FRAC_SUB_##wc (R, X, Y); \ + goto sub3; \ + } \ + if (X##_e == _FP_EXPMAX_##fs) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto sub_done; \ + } \ + goto sub1; \ + } \ + } \ + else if (X##_e == _FP_EXPMAX_##fs) \ + { \ + /* X is NaN or Inf, Y is normal. */ \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_FRAC_COPY_##wc (R, X); \ + goto sub_done; \ + } \ + \ + /* Insert implicit MSB of Y. */ \ + _FP_FRAC_HIGH_##fs (Y) |= _FP_IMPLBIT_SH_##fs; \ + \ + sub1: \ + /* Shift the mantissa of Y to the right \ + _FP_ADD_INTERNAL_EDIFF steps; remember to account \ + later for the implicit MSB of X. */ \ + if (_FP_ADD_INTERNAL_ediff <= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SRS_##wc (Y, _FP_ADD_INTERNAL_ediff, \ + _FP_WFRACBITS_##fs); \ + else if (!_FP_FRAC_ZEROP_##wc (Y)) \ + _FP_FRAC_SET_##wc (Y, _FP_MINFRAC_##wc); \ + _FP_FRAC_SUB_##wc (R, X, Y); \ + } \ + else if (_FP_ADD_INTERNAL_ediff < 0) \ + { \ + _FP_ADD_INTERNAL_ediff = -_FP_ADD_INTERNAL_ediff; \ + R##_e = Y##_e; \ + R##_s = Y##_s; \ + if (X##_e == 0) \ + { \ + /* X is zero or denormalized. */ \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto sub_done; \ + } \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_ADD_INTERNAL_ediff--; \ + if (_FP_ADD_INTERNAL_ediff == 0) \ + { \ + _FP_FRAC_SUB_##wc (R, Y, X); \ + goto sub3; \ + } \ + if (Y##_e == _FP_EXPMAX_##fs) \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto sub_done; \ + } \ + goto sub2; \ + } \ + } \ + else if (Y##_e == _FP_EXPMAX_##fs) \ + { \ + /* Y is NaN or Inf, X is normal. */ \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + _FP_FRAC_COPY_##wc (R, Y); \ + goto sub_done; \ + } \ + \ + /* Insert implicit MSB of X. */ \ + _FP_FRAC_HIGH_##fs (X) |= _FP_IMPLBIT_SH_##fs; \ + \ + sub2: \ + /* Shift the mantissa of X to the right \ + _FP_ADD_INTERNAL_EDIFF steps; remember to account \ + later for the implicit MSB of Y. */ \ + if (_FP_ADD_INTERNAL_ediff <= _FP_WFRACBITS_##fs) \ + _FP_FRAC_SRS_##wc (X, _FP_ADD_INTERNAL_ediff, \ + _FP_WFRACBITS_##fs); \ + else if (!_FP_FRAC_ZEROP_##wc (X)) \ + _FP_FRAC_SET_##wc (X, _FP_MINFRAC_##wc); \ + _FP_FRAC_SUB_##wc (R, Y, X); \ + } \ + else \ + { \ + /* ediff == 0. */ \ + if (!_FP_EXP_NORMAL (fs, wc, X)) \ + { \ + if (X##_e == 0) \ + { \ + /* X and Y are zero or denormalized. */ \ + R##_e = 0; \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + _FP_FRAC_COPY_##wc (R, Y); \ + if (_FP_FRAC_ZEROP_##wc (Y)) \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + R##_s = Y##_s; \ + } \ + goto sub_done; \ + } \ + else if (_FP_FRAC_ZEROP_##wc (Y)) \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_COPY_##wc (R, X); \ + R##_s = X##_s; \ + goto sub_done; \ + } \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_SUB_##wc (R, X, Y); \ + R##_s = X##_s; \ + if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \ + { \ + /* |X| < |Y|, negate result. */ \ + _FP_FRAC_SUB_##wc (R, Y, X); \ + R##_s = Y##_s; \ + } \ + else if (_FP_FRAC_ZEROP_##wc (R)) \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + goto sub_done; \ + } \ + } \ + else \ + { \ + /* X and Y are NaN or Inf, of opposite signs. */ \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, X); \ + _FP_CHECK_SIGNAN_SEMIRAW (fs, wc, Y); \ + R##_e = _FP_EXPMAX_##fs; \ + if (_FP_FRAC_ZEROP_##wc (X)) \ + { \ + if (_FP_FRAC_ZEROP_##wc (Y)) \ + { \ + /* Inf - Inf. */ \ + R##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \ + _FP_FRAC_SLL_##wc (R, _FP_WORKBITS); \ + FP_SET_EXCEPTION (FP_EX_INVALID \ + | FP_EX_INVALID_ISI); \ + } \ + else \ + { \ + /* Inf - NaN. */ \ + R##_s = Y##_s; \ + _FP_FRAC_COPY_##wc (R, Y); \ + } \ + } \ + else \ + { \ + if (_FP_FRAC_ZEROP_##wc (Y)) \ + { \ + /* NaN - Inf. */ \ + R##_s = X##_s; \ + _FP_FRAC_COPY_##wc (R, X); \ + } \ + else \ + { \ + /* NaN - NaN. */ \ + _FP_CHOOSENAN_SEMIRAW (fs, wc, R, X, Y, OP); \ + } \ + } \ + goto sub_done; \ + } \ + } \ + /* The exponents of X and Y, both normal, are equal. The \ + implicit MSBs cancel. */ \ + R##_e = X##_e; \ + _FP_FRAC_SUB_##wc (R, X, Y); \ + R##_s = X##_s; \ + if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \ + { \ + /* |X| < |Y|, negate result. */ \ + _FP_FRAC_SUB_##wc (R, Y, X); \ + R##_s = Y##_s; \ + } \ + else if (_FP_FRAC_ZEROP_##wc (R)) \ + { \ + R##_e = 0; \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + goto sub_done; \ + } \ + goto norm; \ + } \ + sub3: \ + if (_FP_FRAC_HIGH_##fs (R) & _FP_IMPLBIT_SH_##fs) \ + { \ + int _FP_ADD_INTERNAL_diff; \ + /* Carry into most significant bit of larger one of X and Y, \ + canceling it; renormalize. */ \ + _FP_FRAC_HIGH_##fs (R) &= _FP_IMPLBIT_SH_##fs - 1; \ + norm: \ + _FP_FRAC_CLZ_##wc (_FP_ADD_INTERNAL_diff, R); \ + _FP_ADD_INTERNAL_diff -= _FP_WFRACXBITS_##fs; \ + _FP_FRAC_SLL_##wc (R, _FP_ADD_INTERNAL_diff); \ + if (R##_e <= _FP_ADD_INTERNAL_diff) \ + { \ + /* R is denormalized. */ \ + _FP_ADD_INTERNAL_diff \ + = _FP_ADD_INTERNAL_diff - R##_e + 1; \ + _FP_FRAC_SRS_##wc (R, _FP_ADD_INTERNAL_diff, \ + _FP_WFRACBITS_##fs); \ + R##_e = 0; \ + } \ + else \ + { \ + R##_e -= _FP_ADD_INTERNAL_diff; \ + _FP_FRAC_HIGH_##fs (R) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \ + } \ + } \ + sub_done: ; \ + } \ + } \ + while (0) + +#define _FP_ADD(fs, wc, R, X, Y) _FP_ADD_INTERNAL (fs, wc, R, X, Y, '+') +#define _FP_SUB(fs, wc, R, X, Y) \ + do \ + { \ + if (!(Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \ + Y##_s ^= 1; \ + _FP_ADD_INTERNAL (fs, wc, R, X, Y, '-'); \ + } \ + while (0) + + +/* Main negation routine. The input value is raw. */ + +#define _FP_NEG(fs, wc, R, X) \ + do \ + { \ + _FP_FRAC_COPY_##wc (R, X); \ + R##_e = X##_e; \ + R##_s = 1 ^ X##_s; \ + } \ + while (0) + + +/* Main multiplication routine. The input values should be cooked. */ + +#define _FP_MUL(fs, wc, R, X, Y) \ + do \ + { \ + R##_s = X##_s ^ Y##_s; \ + R##_e = X##_e + Y##_e + 1; \ + switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \ + R##_c = FP_CLS_NORMAL; \ + \ + _FP_MUL_MEAT_##fs (R, X, Y); \ + \ + if (_FP_FRAC_OVERP_##wc (fs, R)) \ + _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \ + else \ + R##_e--; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \ + _FP_CHOOSENAN (fs, wc, R, X, Y, '*'); \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \ + R##_s = X##_s; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc (R, X); \ + R##_c = X##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \ + R##_s = Y##_s; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc (R, Y); \ + R##_c = Y##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_IMZ); \ + break; \ + \ + default: \ + abort (); \ + } \ + } \ + while (0) + + +/* Fused multiply-add. The input values should be cooked. */ + +#define _FP_FMA(fs, wc, dwc, R, X, Y, Z) \ + do \ + { \ + FP_DECL_##fs (_FP_FMA_T); \ + _FP_FMA_T##_s = X##_s ^ Y##_s; \ + _FP_FMA_T##_e = X##_e + Y##_e + 1; \ + switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \ + switch (Z##_c) \ + { \ + case FP_CLS_INF: \ + case FP_CLS_NAN: \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##wc (R, Z); \ + R##_c = Z##_c; \ + break; \ + \ + case FP_CLS_ZERO: \ + R##_c = FP_CLS_NORMAL; \ + R##_s = _FP_FMA_T##_s; \ + R##_e = _FP_FMA_T##_e; \ + \ + _FP_MUL_MEAT_##fs (R, X, Y); \ + \ + if (_FP_FRAC_OVERP_##wc (fs, R)) \ + _FP_FRAC_SRS_##wc (R, 1, _FP_WFRACBITS_##fs); \ + else \ + R##_e--; \ + break; \ + \ + case FP_CLS_NORMAL:; \ + _FP_FRAC_DECL_##dwc (_FP_FMA_TD); \ + _FP_FRAC_DECL_##dwc (_FP_FMA_ZD); \ + _FP_FRAC_DECL_##dwc (_FP_FMA_RD); \ + _FP_MUL_MEAT_DW_##fs (_FP_FMA_TD, X, Y); \ + R##_e = _FP_FMA_T##_e; \ + int _FP_FMA_tsh \ + = _FP_FRAC_HIGHBIT_DW_##dwc (fs, _FP_FMA_TD) == 0; \ + _FP_FMA_T##_e -= _FP_FMA_tsh; \ + int _FP_FMA_ediff = _FP_FMA_T##_e - Z##_e; \ + if (_FP_FMA_ediff >= 0) \ + { \ + int _FP_FMA_shift \ + = _FP_WFRACBITS_##fs - _FP_FMA_tsh - _FP_FMA_ediff; \ + if (_FP_FMA_shift <= -_FP_WFRACBITS_##fs) \ + _FP_FRAC_SET_##dwc (_FP_FMA_ZD, _FP_MINFRAC_##dwc); \ + else \ + { \ + _FP_FRAC_COPY_##dwc##_##wc (_FP_FMA_ZD, Z); \ + if (_FP_FMA_shift < 0) \ + _FP_FRAC_SRS_##dwc (_FP_FMA_ZD, -_FP_FMA_shift, \ + _FP_WFRACBITS_DW_##fs); \ + else if (_FP_FMA_shift > 0) \ + _FP_FRAC_SLL_##dwc (_FP_FMA_ZD, _FP_FMA_shift); \ + } \ + R##_s = _FP_FMA_T##_s; \ + if (_FP_FMA_T##_s == Z##_s) \ + _FP_FRAC_ADD_##dwc (_FP_FMA_RD, _FP_FMA_TD, \ + _FP_FMA_ZD); \ + else \ + { \ + _FP_FRAC_SUB_##dwc (_FP_FMA_RD, _FP_FMA_TD, \ + _FP_FMA_ZD); \ + if (_FP_FRAC_NEGP_##dwc (_FP_FMA_RD)) \ + { \ + R##_s = Z##_s; \ + _FP_FRAC_SUB_##dwc (_FP_FMA_RD, _FP_FMA_ZD, \ + _FP_FMA_TD); \ + } \ + } \ + } \ + else \ + { \ + R##_e = Z##_e; \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##dwc##_##wc (_FP_FMA_ZD, Z); \ + _FP_FRAC_SLL_##dwc (_FP_FMA_ZD, _FP_WFRACBITS_##fs); \ + int _FP_FMA_shift = -_FP_FMA_ediff - _FP_FMA_tsh; \ + if (_FP_FMA_shift >= _FP_WFRACBITS_DW_##fs) \ + _FP_FRAC_SET_##dwc (_FP_FMA_TD, _FP_MINFRAC_##dwc); \ + else if (_FP_FMA_shift > 0) \ + _FP_FRAC_SRS_##dwc (_FP_FMA_TD, _FP_FMA_shift, \ + _FP_WFRACBITS_DW_##fs); \ + if (Z##_s == _FP_FMA_T##_s) \ + _FP_FRAC_ADD_##dwc (_FP_FMA_RD, _FP_FMA_ZD, \ + _FP_FMA_TD); \ + else \ + _FP_FRAC_SUB_##dwc (_FP_FMA_RD, _FP_FMA_ZD, \ + _FP_FMA_TD); \ + } \ + if (_FP_FRAC_ZEROP_##dwc (_FP_FMA_RD)) \ + { \ + if (_FP_FMA_T##_s == Z##_s) \ + R##_s = Z##_s; \ + else \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + _FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \ + R##_c = FP_CLS_ZERO; \ + } \ + else \ + { \ + int _FP_FMA_rlz; \ + _FP_FRAC_CLZ_##dwc (_FP_FMA_rlz, _FP_FMA_RD); \ + _FP_FMA_rlz -= _FP_WFRACXBITS_DW_##fs; \ + R##_e -= _FP_FMA_rlz; \ + int _FP_FMA_shift = _FP_WFRACBITS_##fs - _FP_FMA_rlz; \ + if (_FP_FMA_shift > 0) \ + _FP_FRAC_SRS_##dwc (_FP_FMA_RD, _FP_FMA_shift, \ + _FP_WFRACBITS_DW_##fs); \ + else if (_FP_FMA_shift < 0) \ + _FP_FRAC_SLL_##dwc (_FP_FMA_RD, -_FP_FMA_shift); \ + _FP_FRAC_COPY_##wc##_##dwc (R, _FP_FMA_RD); \ + R##_c = FP_CLS_NORMAL; \ + } \ + break; \ + } \ + goto done_fma; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \ + _FP_CHOOSENAN (fs, wc, _FP_FMA_T, X, Y, '*'); \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \ + _FP_FMA_T##_s = X##_s; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc (_FP_FMA_T, X); \ + _FP_FMA_T##_c = X##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \ + _FP_FMA_T##_s = Y##_s; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \ + _FP_FRAC_COPY_##wc (_FP_FMA_T, Y); \ + _FP_FMA_T##_c = Y##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \ + _FP_FMA_T##_s = _FP_NANSIGN_##fs; \ + _FP_FMA_T##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc (_FP_FMA_T, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_IMZ_FMA); \ + break; \ + \ + default: \ + abort (); \ + } \ + \ + /* T = X * Y is zero, infinity or NaN. */ \ + switch (_FP_CLS_COMBINE (_FP_FMA_T##_c, Z##_c)) \ + { \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \ + _FP_CHOOSENAN (fs, wc, R, _FP_FMA_T, Z, '+'); \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \ + R##_s = _FP_FMA_T##_s; \ + _FP_FRAC_COPY_##wc (R, _FP_FMA_T); \ + R##_c = _FP_FMA_T##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##wc (R, Z); \ + R##_c = Z##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \ + if (_FP_FMA_T##_s == Z##_s) \ + { \ + R##_s = Z##_s; \ + _FP_FRAC_COPY_##wc (R, Z); \ + R##_c = Z##_c; \ + } \ + else \ + { \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_ISI); \ + } \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \ + if (_FP_FMA_T##_s == Z##_s) \ + R##_s = Z##_s; \ + else \ + R##_s = (FP_ROUNDMODE == FP_RND_MINF); \ + _FP_FRAC_COPY_##wc (R, Z); \ + R##_c = Z##_c; \ + break; \ + \ + default: \ + abort (); \ + } \ + done_fma: ; \ + } \ + while (0) + + +/* Main division routine. The input values should be cooked. */ + +#define _FP_DIV(fs, wc, R, X, Y) \ + do \ + { \ + R##_s = X##_s ^ Y##_s; \ + R##_e = X##_e - Y##_e; \ + switch (_FP_CLS_COMBINE (X##_c, Y##_c)) \ + { \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NORMAL): \ + R##_c = FP_CLS_NORMAL; \ + \ + _FP_DIV_MEAT_##fs (R, X, Y); \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NAN): \ + _FP_CHOOSENAN (fs, wc, R, X, Y, '/'); \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_NORMAL): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_NAN, FP_CLS_ZERO): \ + R##_s = X##_s; \ + _FP_FRAC_COPY_##wc (R, X); \ + R##_c = X##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NAN): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NAN): \ + R##_s = Y##_s; \ + _FP_FRAC_COPY_##wc (R, Y); \ + R##_c = Y##_c; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_NORMAL): \ + R##_c = FP_CLS_ZERO; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_NORMAL, FP_CLS_ZERO): \ + FP_SET_EXCEPTION (FP_EX_DIVZERO); \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_ZERO): \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_NORMAL): \ + R##_c = FP_CLS_INF; \ + break; \ + \ + case _FP_CLS_COMBINE (FP_CLS_INF, FP_CLS_INF): \ + case _FP_CLS_COMBINE (FP_CLS_ZERO, FP_CLS_ZERO): \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; \ + _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION (FP_EX_INVALID \ + | (X##_c == FP_CLS_INF \ + ? FP_EX_INVALID_IDI \ + : FP_EX_INVALID_ZDZ)); \ + break; \ + \ + default: \ + abort (); \ + } \ + } \ + while (0) + + +/* Helper for comparisons. EX is 0 not to raise exceptions, 1 to + raise exceptions for signaling NaN operands, 2 to raise exceptions + for all NaN operands. Conditionals are organized to allow the + compiler to optimize away code based on the value of EX. */ + +#define _FP_CMP_CHECK_NAN(fs, wc, X, Y, ex) \ + do \ + { \ + /* The arguments are unordered, which may or may not result in \ + an exception. */ \ + if (ex) \ + { \ + /* At least some cases of unordered arguments result in \ + exceptions; check whether this is one. */ \ + if (FP_EX_INVALID_SNAN || FP_EX_INVALID_VC) \ + { \ + /* Check separately for each case of "invalid" \ + exceptions. */ \ + if ((ex) == 2) \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_VC); \ + if (_FP_ISSIGNAN (fs, wc, X) \ + || _FP_ISSIGNAN (fs, wc, Y)) \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_SNAN); \ + } \ + /* Otherwise, we only need to check whether to raise an \ + exception, not which case or cases it is. */ \ + else if ((ex) == 2 \ + || _FP_ISSIGNAN (fs, wc, X) \ + || _FP_ISSIGNAN (fs, wc, Y)) \ + FP_SET_EXCEPTION (FP_EX_INVALID); \ + } \ + } \ + while (0) + +/* Main differential comparison routine. The inputs should be raw not + cooked. The return is -1, 0, 1 for normal values, UN + otherwise. */ + +#define _FP_CMP(fs, wc, ret, X, Y, un, ex) \ + do \ + { \ + /* NANs are unordered. */ \ + if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \ + || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \ + { \ + (ret) = (un); \ + _FP_CMP_CHECK_NAN (fs, wc, X, Y, (ex)); \ + } \ + else \ + { \ + int _FP_CMP_is_zero_x; \ + int _FP_CMP_is_zero_y; \ + \ + _FP_CHECK_FLUSH_ZERO (fs, wc, X); \ + _FP_CHECK_FLUSH_ZERO (fs, wc, Y); \ + \ + _FP_CMP_is_zero_x \ + = (!X##_e && _FP_FRAC_ZEROP_##wc (X)) ? 1 : 0; \ + _FP_CMP_is_zero_y \ + = (!Y##_e && _FP_FRAC_ZEROP_##wc (Y)) ? 1 : 0; \ + \ + if (_FP_CMP_is_zero_x && _FP_CMP_is_zero_y) \ + (ret) = 0; \ + else if (_FP_CMP_is_zero_x) \ + (ret) = Y##_s ? 1 : -1; \ + else if (_FP_CMP_is_zero_y) \ + (ret) = X##_s ? -1 : 1; \ + else if (X##_s != Y##_s) \ + (ret) = X##_s ? -1 : 1; \ + else if (X##_e > Y##_e) \ + (ret) = X##_s ? -1 : 1; \ + else if (X##_e < Y##_e) \ + (ret) = X##_s ? 1 : -1; \ + else if (_FP_FRAC_GT_##wc (X, Y)) \ + (ret) = X##_s ? -1 : 1; \ + else if (_FP_FRAC_GT_##wc (Y, X)) \ + (ret) = X##_s ? 1 : -1; \ + else \ + (ret) = 0; \ + } \ + } \ + while (0) + + +/* Simplification for strict equality. */ + +#define _FP_CMP_EQ(fs, wc, ret, X, Y, ex) \ + do \ + { \ + /* NANs are unordered. */ \ + if ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \ + || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))) \ + { \ + (ret) = 1; \ + _FP_CMP_CHECK_NAN (fs, wc, X, Y, (ex)); \ + } \ + else \ + { \ + _FP_CHECK_FLUSH_ZERO (fs, wc, X); \ + _FP_CHECK_FLUSH_ZERO (fs, wc, Y); \ + \ + (ret) = !(X##_e == Y##_e \ + && _FP_FRAC_EQ_##wc (X, Y) \ + && (X##_s == Y##_s \ + || (!X##_e && _FP_FRAC_ZEROP_##wc (X)))); \ + } \ + } \ + while (0) + +/* Version to test unordered. */ + +#define _FP_CMP_UNORD(fs, wc, ret, X, Y, ex) \ + do \ + { \ + (ret) = ((X##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (X)) \ + || (Y##_e == _FP_EXPMAX_##fs && !_FP_FRAC_ZEROP_##wc (Y))); \ + if (ret) \ + _FP_CMP_CHECK_NAN (fs, wc, X, Y, (ex)); \ + } \ + while (0) + +/* Main square root routine. The input value should be cooked. */ + +#define _FP_SQRT(fs, wc, R, X) \ + do \ + { \ + _FP_FRAC_DECL_##wc (_FP_SQRT_T); \ + _FP_FRAC_DECL_##wc (_FP_SQRT_S); \ + _FP_W_TYPE _FP_SQRT_q; \ + switch (X##_c) \ + { \ + case FP_CLS_NAN: \ + _FP_FRAC_COPY_##wc (R, X); \ + R##_s = X##_s; \ + R##_c = FP_CLS_NAN; \ + break; \ + case FP_CLS_INF: \ + if (X##_s) \ + { \ + R##_s = _FP_NANSIGN_##fs; \ + R##_c = FP_CLS_NAN; /* NAN */ \ + _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_SQRT); \ + } \ + else \ + { \ + R##_s = 0; \ + R##_c = FP_CLS_INF; /* sqrt(+inf) = +inf */ \ + } \ + break; \ + case FP_CLS_ZERO: \ + R##_s = X##_s; \ + R##_c = FP_CLS_ZERO; /* sqrt(+-0) = +-0 */ \ + break; \ + case FP_CLS_NORMAL: \ + R##_s = 0; \ + if (X##_s) \ + { \ + R##_c = FP_CLS_NAN; /* NAN */ \ + R##_s = _FP_NANSIGN_##fs; \ + _FP_FRAC_SET_##wc (R, _FP_NANFRAC_##fs); \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_SQRT); \ + break; \ + } \ + R##_c = FP_CLS_NORMAL; \ + if (X##_e & 1) \ + _FP_FRAC_SLL_##wc (X, 1); \ + R##_e = X##_e >> 1; \ + _FP_FRAC_SET_##wc (_FP_SQRT_S, _FP_ZEROFRAC_##wc); \ + _FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \ + _FP_SQRT_q = _FP_OVERFLOW_##fs >> 1; \ + _FP_SQRT_MEAT_##wc (R, _FP_SQRT_S, _FP_SQRT_T, X, \ + _FP_SQRT_q); \ + } \ + } \ + while (0) + +/* Convert from FP to integer. Input is raw. */ + +/* RSIGNED can have following values: + 0: the number is required to be 0..(2^rsize)-1, if not, NV is set plus + the result is either 0 or (2^rsize)-1 depending on the sign in such + case. + 1: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, + NV is set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 + depending on the sign in such case. + 2: the number is required to be -(2^(rsize-1))..(2^(rsize-1))-1, if not, + NV is set plus the result is reduced modulo 2^rsize. + -1: the number is required to be -(2^(rsize-1))..(2^rsize)-1, if not, NV is + set plus the result is either -(2^(rsize-1)) or (2^(rsize-1))-1 + depending on the sign in such case. */ +#define _FP_TO_INT(fs, wc, r, X, rsize, rsigned) \ + do \ + { \ + if (X##_e < _FP_EXPBIAS_##fs) \ + { \ + (r) = 0; \ + if (X##_e == 0) \ + { \ + if (!_FP_FRAC_ZEROP_##wc (X)) \ + { \ + if (!FP_DENORM_ZERO) \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + } \ + } \ + else \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + } \ + else if ((rsigned) == 2 \ + && (X##_e \ + >= ((_FP_EXPMAX_##fs \ + < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs + (rsize) - 1) \ + ? _FP_EXPMAX_##fs \ + : _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs + (rsize) - 1))) \ + { \ + /* Overflow resulting in 0. */ \ + (r) = 0; \ + FP_SET_EXCEPTION (FP_EX_INVALID \ + | FP_EX_INVALID_CVI \ + | ((FP_EX_INVALID_SNAN \ + && _FP_ISSIGNAN (fs, wc, X)) \ + ? FP_EX_INVALID_SNAN \ + : 0)); \ + } \ + else if ((rsigned) != 2 \ + && (X##_e >= (_FP_EXPMAX_##fs < _FP_EXPBIAS_##fs + (rsize) \ + ? _FP_EXPMAX_##fs \ + : (_FP_EXPBIAS_##fs + (rsize) \ + - ((rsigned) > 0 || X##_s))) \ + || (!(rsigned) && X##_s))) \ + { \ + /* Overflow or converting to the most negative integer. */ \ + if (rsigned) \ + { \ + (r) = 1; \ + (r) <<= (rsize) - 1; \ + (r) -= 1 - X##_s; \ + } \ + else \ + { \ + (r) = 0; \ + if (!X##_s) \ + (r) = ~(r); \ + } \ + \ + if (_FP_EXPBIAS_##fs + (rsize) - 1 < _FP_EXPMAX_##fs \ + && (rsigned) \ + && X##_s \ + && X##_e == _FP_EXPBIAS_##fs + (rsize) - 1) \ + { \ + /* Possibly converting to most negative integer; check the \ + mantissa. */ \ + int _FP_TO_INT_inexact = 0; \ + (void) ((_FP_FRACBITS_##fs > (rsize)) \ + ? ({ \ + _FP_FRAC_SRST_##wc (X, _FP_TO_INT_inexact, \ + _FP_FRACBITS_##fs - (rsize), \ + _FP_FRACBITS_##fs); \ + 0; \ + }) \ + : 0); \ + if (!_FP_FRAC_ZEROP_##wc (X)) \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_CVI); \ + else if (_FP_TO_INT_inexact) \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + } \ + else \ + FP_SET_EXCEPTION (FP_EX_INVALID \ + | FP_EX_INVALID_CVI \ + | ((FP_EX_INVALID_SNAN \ + && _FP_ISSIGNAN (fs, wc, X)) \ + ? FP_EX_INVALID_SNAN \ + : 0)); \ + } \ + else \ + { \ + int _FP_TO_INT_inexact = 0; \ + _FP_FRAC_HIGH_RAW_##fs (X) |= _FP_IMPLBIT_##fs; \ + if (X##_e >= _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1) \ + { \ + _FP_FRAC_ASSEMBLE_##wc ((r), X, (rsize)); \ + (r) <<= X##_e - _FP_EXPBIAS_##fs - _FP_FRACBITS_##fs + 1; \ + } \ + else \ + { \ + _FP_FRAC_SRST_##wc (X, _FP_TO_INT_inexact, \ + (_FP_FRACBITS_##fs + _FP_EXPBIAS_##fs - 1 \ + - X##_e), \ + _FP_FRACBITS_##fs); \ + _FP_FRAC_ASSEMBLE_##wc ((r), X, (rsize)); \ + } \ + if ((rsigned) && X##_s) \ + (r) = -(r); \ + if ((rsigned) == 2 && X##_e >= _FP_EXPBIAS_##fs + (rsize) - 1) \ + { \ + /* Overflow or converting to the most negative integer. */ \ + if (X##_e > _FP_EXPBIAS_##fs + (rsize) - 1 \ + || !X##_s \ + || (r) != (((typeof (r)) 1) << ((rsize) - 1))) \ + { \ + _FP_TO_INT_inexact = 0; \ + FP_SET_EXCEPTION (FP_EX_INVALID | FP_EX_INVALID_CVI); \ + } \ + } \ + if (_FP_TO_INT_inexact) \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + } \ + } \ + while (0) + +/* Convert integer to fp. Output is raw. RTYPE is unsigned even if + input is signed. */ +#define _FP_FROM_INT(fs, wc, X, r, rsize, rtype) \ + do \ + { \ + if (r) \ + { \ + rtype _FP_FROM_INT_ur; \ + \ + if ((X##_s = ((r) < 0))) \ + (r) = -(rtype) (r); \ + \ + _FP_FROM_INT_ur = (rtype) (r); \ + (void) (((rsize) <= _FP_W_TYPE_SIZE) \ + ? ({ \ + int _FP_FROM_INT_lz; \ + __FP_CLZ (_FP_FROM_INT_lz, \ + (_FP_W_TYPE) _FP_FROM_INT_ur); \ + X##_e = (_FP_EXPBIAS_##fs + _FP_W_TYPE_SIZE - 1 \ + - _FP_FROM_INT_lz); \ + }) \ + : (((rsize) <= 2 * _FP_W_TYPE_SIZE) \ + ? ({ \ + int _FP_FROM_INT_lz; \ + __FP_CLZ_2 (_FP_FROM_INT_lz, \ + (_FP_W_TYPE) (_FP_FROM_INT_ur \ + >> _FP_W_TYPE_SIZE), \ + (_FP_W_TYPE) _FP_FROM_INT_ur); \ + X##_e = (_FP_EXPBIAS_##fs + 2 * _FP_W_TYPE_SIZE - 1 \ + - _FP_FROM_INT_lz); \ + }) \ + : (abort (), 0))); \ + \ + if ((rsize) - 1 + _FP_EXPBIAS_##fs >= _FP_EXPMAX_##fs \ + && X##_e >= _FP_EXPMAX_##fs) \ + { \ + /* Exponent too big; overflow to infinity. (May also \ + happen after rounding below.) */ \ + _FP_OVERFLOW_SEMIRAW (fs, wc, X); \ + goto pack_semiraw; \ + } \ + \ + if ((rsize) <= _FP_FRACBITS_##fs \ + || X##_e < _FP_EXPBIAS_##fs + _FP_FRACBITS_##fs) \ + { \ + /* Exactly representable; shift left. */ \ + _FP_FRAC_DISASSEMBLE_##wc (X, _FP_FROM_INT_ur, (rsize)); \ + if (_FP_EXPBIAS_##fs + _FP_FRACBITS_##fs - 1 - X##_e > 0) \ + _FP_FRAC_SLL_##wc (X, (_FP_EXPBIAS_##fs \ + + _FP_FRACBITS_##fs - 1 - X##_e)); \ + } \ + else \ + { \ + /* More bits in integer than in floating type; need to \ + round. */ \ + if (_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 < X##_e) \ + _FP_FROM_INT_ur \ + = ((_FP_FROM_INT_ur >> (X##_e - _FP_EXPBIAS_##fs \ + - _FP_WFRACBITS_##fs + 1)) \ + | ((_FP_FROM_INT_ur \ + << ((rsize) - (X##_e - _FP_EXPBIAS_##fs \ + - _FP_WFRACBITS_##fs + 1))) \ + != 0)); \ + _FP_FRAC_DISASSEMBLE_##wc (X, _FP_FROM_INT_ur, (rsize)); \ + if ((_FP_EXPBIAS_##fs + _FP_WFRACBITS_##fs - 1 - X##_e) > 0) \ + _FP_FRAC_SLL_##wc (X, (_FP_EXPBIAS_##fs \ + + _FP_WFRACBITS_##fs - 1 - X##_e)); \ + _FP_FRAC_HIGH_##fs (X) &= ~(_FP_W_TYPE) _FP_IMPLBIT_SH_##fs; \ + pack_semiraw: \ + _FP_PACK_SEMIRAW (fs, wc, X); \ + } \ + } \ + else \ + { \ + X##_s = 0; \ + X##_e = 0; \ + _FP_FRAC_SET_##wc (X, _FP_ZEROFRAC_##wc); \ + } \ + } \ + while (0) + + +/* Extend from a narrower floating-point format to a wider one. Input + and output are raw. */ +#define FP_EXTEND(dfs, sfs, dwc, swc, D, S) \ + do \ + { \ + if (_FP_FRACBITS_##dfs < _FP_FRACBITS_##sfs \ + || (_FP_EXPMAX_##dfs - _FP_EXPBIAS_##dfs \ + < _FP_EXPMAX_##sfs - _FP_EXPBIAS_##sfs) \ + || (_FP_EXPBIAS_##dfs < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1 \ + && _FP_EXPBIAS_##dfs != _FP_EXPBIAS_##sfs)) \ + abort (); \ + D##_s = S##_s; \ + _FP_FRAC_COPY_##dwc##_##swc (D, S); \ + if (_FP_EXP_NORMAL (sfs, swc, S)) \ + { \ + D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \ + _FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs - _FP_FRACBITS_##sfs)); \ + } \ + else \ + { \ + if (S##_e == 0) \ + { \ + _FP_CHECK_FLUSH_ZERO (sfs, swc, S); \ + if (_FP_FRAC_ZEROP_##swc (S)) \ + D##_e = 0; \ + else if (_FP_EXPBIAS_##dfs \ + < _FP_EXPBIAS_##sfs + _FP_FRACBITS_##sfs - 1) \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs \ + - _FP_FRACBITS_##sfs)); \ + D##_e = 0; \ + if (FP_TRAPPING_EXCEPTIONS & FP_EX_UNDERFLOW) \ + FP_SET_EXCEPTION (FP_EX_UNDERFLOW); \ + } \ + else \ + { \ + int FP_EXTEND_lz; \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + _FP_FRAC_CLZ_##swc (FP_EXTEND_lz, S); \ + _FP_FRAC_SLL_##dwc (D, \ + FP_EXTEND_lz + _FP_FRACBITS_##dfs \ + - _FP_FRACTBITS_##sfs); \ + D##_e = (_FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs + 1 \ + + _FP_FRACXBITS_##sfs - FP_EXTEND_lz); \ + } \ + } \ + else \ + { \ + D##_e = _FP_EXPMAX_##dfs; \ + if (!_FP_FRAC_ZEROP_##swc (S)) \ + { \ + if (_FP_FRAC_SNANP (sfs, S)) \ + FP_SET_EXCEPTION (FP_EX_INVALID \ + | FP_EX_INVALID_SNAN); \ + _FP_FRAC_SLL_##dwc (D, (_FP_FRACBITS_##dfs \ + - _FP_FRACBITS_##sfs)); \ + _FP_SETQNAN (dfs, dwc, D); \ + } \ + } \ + } \ + } \ + while (0) + +/* Truncate from a wider floating-point format to a narrower one. + Input and output are semi-raw. */ +#define FP_TRUNC(dfs, sfs, dwc, swc, D, S) \ + do \ + { \ + if (_FP_FRACBITS_##sfs < _FP_FRACBITS_##dfs \ + || (_FP_EXPBIAS_##sfs < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1 \ + && _FP_EXPBIAS_##sfs != _FP_EXPBIAS_##dfs)) \ + abort (); \ + D##_s = S##_s; \ + if (_FP_EXP_NORMAL (sfs, swc, S)) \ + { \ + D##_e = S##_e + _FP_EXPBIAS_##dfs - _FP_EXPBIAS_##sfs; \ + if (D##_e >= _FP_EXPMAX_##dfs) \ + _FP_OVERFLOW_SEMIRAW (dfs, dwc, D); \ + else \ + { \ + if (D##_e <= 0) \ + { \ + if (D##_e < 1 - _FP_FRACBITS_##dfs) \ + { \ + _FP_FRAC_SET_##swc (S, _FP_ZEROFRAC_##swc); \ + _FP_FRAC_LOW_##swc (S) |= 1; \ + } \ + else \ + { \ + _FP_FRAC_HIGH_##sfs (S) |= _FP_IMPLBIT_SH_##sfs; \ + _FP_FRAC_SRS_##swc (S, (_FP_WFRACBITS_##sfs \ + - _FP_WFRACBITS_##dfs \ + + 1 - D##_e), \ + _FP_WFRACBITS_##sfs); \ + } \ + D##_e = 0; \ + } \ + else \ + _FP_FRAC_SRS_##swc (S, (_FP_WFRACBITS_##sfs \ + - _FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + _FP_FRAC_COPY_##dwc##_##swc (D, S); \ + } \ + } \ + else \ + { \ + if (S##_e == 0) \ + { \ + _FP_CHECK_FLUSH_ZERO (sfs, swc, S); \ + D##_e = 0; \ + if (_FP_FRAC_ZEROP_##swc (S)) \ + _FP_FRAC_SET_##dwc (D, _FP_ZEROFRAC_##dwc); \ + else \ + { \ + FP_SET_EXCEPTION (FP_EX_DENORM); \ + if (_FP_EXPBIAS_##sfs \ + < _FP_EXPBIAS_##dfs + _FP_FRACBITS_##dfs - 1) \ + { \ + _FP_FRAC_SRS_##swc (S, (_FP_WFRACBITS_##sfs \ + - _FP_WFRACBITS_##dfs), \ + _FP_WFRACBITS_##sfs); \ + _FP_FRAC_COPY_##dwc##_##swc (D, S); \ + } \ + else \ + { \ + _FP_FRAC_SET_##dwc (D, _FP_ZEROFRAC_##dwc); \ + _FP_FRAC_LOW_##dwc (D) |= 1; \ + } \ + } \ + } \ + else \ + { \ + D##_e = _FP_EXPMAX_##dfs; \ + if (_FP_FRAC_ZEROP_##swc (S)) \ + _FP_FRAC_SET_##dwc (D, _FP_ZEROFRAC_##dwc); \ + else \ + { \ + _FP_CHECK_SIGNAN_SEMIRAW (sfs, swc, S); \ + _FP_FRAC_SRL_##swc (S, (_FP_WFRACBITS_##sfs \ + - _FP_WFRACBITS_##dfs)); \ + _FP_FRAC_COPY_##dwc##_##swc (D, S); \ + /* Semi-raw NaN must have all workbits cleared. */ \ + _FP_FRAC_LOW_##dwc (D) \ + &= ~(_FP_W_TYPE) ((1 << _FP_WORKBITS) - 1); \ + _FP_SETQNAN_SEMIRAW (dfs, dwc, D); \ + } \ + } \ + } \ + } \ + while (0) + +/* Helper primitives. */ + +/* Count leading zeros in a word. */ + +#ifndef __FP_CLZ +/* GCC 3.4 and later provide the builtins for us. */ +# define __FP_CLZ(r, x) \ + do \ + { \ + if (sizeof (_FP_W_TYPE) == sizeof (unsigned int)) \ + (r) = __builtin_clz (x); \ + else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long)) \ + (r) = __builtin_clzl (x); \ + else if (sizeof (_FP_W_TYPE) == sizeof (unsigned long long)) \ + (r) = __builtin_clzll (x); \ + else \ + abort (); \ + } \ + while (0) +#endif /* ndef __FP_CLZ */ + +#define _FP_DIV_HELP_imm(q, r, n, d) \ + do \ + { \ + (q) = (n) / (d), (r) = (n) % (d); \ + } \ + while (0) + + +/* A restoring bit-by-bit division primitive. */ + +#define _FP_DIV_MEAT_N_loop(fs, wc, R, X, Y) \ + do \ + { \ + int _FP_DIV_MEAT_N_loop_count = _FP_WFRACBITS_##fs; \ + _FP_FRAC_DECL_##wc (_FP_DIV_MEAT_N_loop_u); \ + _FP_FRAC_DECL_##wc (_FP_DIV_MEAT_N_loop_v); \ + _FP_FRAC_COPY_##wc (_FP_DIV_MEAT_N_loop_u, X); \ + _FP_FRAC_COPY_##wc (_FP_DIV_MEAT_N_loop_v, Y); \ + _FP_FRAC_SET_##wc (R, _FP_ZEROFRAC_##wc); \ + /* Normalize _FP_DIV_MEAT_N_LOOP_U and _FP_DIV_MEAT_N_LOOP_V. */ \ + _FP_FRAC_SLL_##wc (_FP_DIV_MEAT_N_loop_u, _FP_WFRACXBITS_##fs); \ + _FP_FRAC_SLL_##wc (_FP_DIV_MEAT_N_loop_v, _FP_WFRACXBITS_##fs); \ + /* First round. Since the operands are normalized, either the \ + first or second bit will be set in the fraction. Produce a \ + normalized result by checking which and adjusting the loop \ + count and exponent accordingly. */ \ + if (_FP_FRAC_GE_1 (_FP_DIV_MEAT_N_loop_u, _FP_DIV_MEAT_N_loop_v)) \ + { \ + _FP_FRAC_SUB_##wc (_FP_DIV_MEAT_N_loop_u, \ + _FP_DIV_MEAT_N_loop_u, \ + _FP_DIV_MEAT_N_loop_v); \ + _FP_FRAC_LOW_##wc (R) |= 1; \ + _FP_DIV_MEAT_N_loop_count--; \ + } \ + else \ + R##_e--; \ + /* Subsequent rounds. */ \ + do \ + { \ + int _FP_DIV_MEAT_N_loop_msb \ + = (_FP_WS_TYPE) _FP_FRAC_HIGH_##wc (_FP_DIV_MEAT_N_loop_u) < 0; \ + _FP_FRAC_SLL_##wc (_FP_DIV_MEAT_N_loop_u, 1); \ + _FP_FRAC_SLL_##wc (R, 1); \ + if (_FP_DIV_MEAT_N_loop_msb \ + || _FP_FRAC_GE_1 (_FP_DIV_MEAT_N_loop_u, \ + _FP_DIV_MEAT_N_loop_v)) \ + { \ + _FP_FRAC_SUB_##wc (_FP_DIV_MEAT_N_loop_u, \ + _FP_DIV_MEAT_N_loop_u, \ + _FP_DIV_MEAT_N_loop_v); \ + _FP_FRAC_LOW_##wc (R) |= 1; \ + } \ + } \ + while (--_FP_DIV_MEAT_N_loop_count > 0); \ + /* If there's anything left in _FP_DIV_MEAT_N_LOOP_U, the result \ + is inexact. */ \ + _FP_FRAC_LOW_##wc (R) \ + |= !_FP_FRAC_ZEROP_##wc (_FP_DIV_MEAT_N_loop_u); \ + } \ + while (0) + +#define _FP_DIV_MEAT_1_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 1, R, X, Y) +#define _FP_DIV_MEAT_2_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 2, R, X, Y) +#define _FP_DIV_MEAT_4_loop(fs, R, X, Y) _FP_DIV_MEAT_N_loop (fs, 4, R, X, Y) diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/quad.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/quad.h new file mode 100644 index 0000000000..b8cd3108a3 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/quad.h @@ -0,0 +1,321 @@ +/* Software floating-point emulation. + Definitions for IEEE Quad Precision. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#if _FP_W_TYPE_SIZE < 32 +# error "Here's a nickel, kid. Go buy yourself a real computer." +#endif + +#if _FP_W_TYPE_SIZE < 64 +# define _FP_FRACTBITS_Q (4*_FP_W_TYPE_SIZE) +# define _FP_FRACTBITS_DW_Q (8*_FP_W_TYPE_SIZE) +#else +# define _FP_FRACTBITS_Q (2*_FP_W_TYPE_SIZE) +# define _FP_FRACTBITS_DW_Q (4*_FP_W_TYPE_SIZE) +#endif + +#define _FP_FRACBITS_Q 113 +#define _FP_FRACXBITS_Q (_FP_FRACTBITS_Q - _FP_FRACBITS_Q) +#define _FP_WFRACBITS_Q (_FP_WORKBITS + _FP_FRACBITS_Q) +#define _FP_WFRACXBITS_Q (_FP_FRACTBITS_Q - _FP_WFRACBITS_Q) +#define _FP_EXPBITS_Q 15 +#define _FP_EXPBIAS_Q 16383 +#define _FP_EXPMAX_Q 32767 + +#define _FP_QNANBIT_Q \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2) % _FP_W_TYPE_SIZE) +#define _FP_QNANBIT_SH_Q \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-2+_FP_WORKBITS) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_Q \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1) % _FP_W_TYPE_SIZE) +#define _FP_IMPLBIT_SH_Q \ + ((_FP_W_TYPE) 1 << (_FP_FRACBITS_Q-1+_FP_WORKBITS) % _FP_W_TYPE_SIZE) +#define _FP_OVERFLOW_Q \ + ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_Q % _FP_W_TYPE_SIZE)) + +#define _FP_WFRACBITS_DW_Q (2 * _FP_WFRACBITS_Q) +#define _FP_WFRACXBITS_DW_Q (_FP_FRACTBITS_DW_Q - _FP_WFRACBITS_DW_Q) +#define _FP_HIGHBIT_DW_Q \ + ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_Q - 1) % _FP_W_TYPE_SIZE) + +typedef float TFtype __attribute__ ((mode (TF))); + +#if _FP_W_TYPE_SIZE < 64 + +union _FP_UNION_Q +{ + TFtype flt; + struct _FP_STRUCT_LAYOUT + { +# if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_Q; + unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); + unsigned long frac2 : _FP_W_TYPE_SIZE; + unsigned long frac1 : _FP_W_TYPE_SIZE; + unsigned long frac0 : _FP_W_TYPE_SIZE; +# else + unsigned long frac0 : _FP_W_TYPE_SIZE; + unsigned long frac1 : _FP_W_TYPE_SIZE; + unsigned long frac2 : _FP_W_TYPE_SIZE; + unsigned long frac3 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0)-(_FP_W_TYPE_SIZE * 3); + unsigned exp : _FP_EXPBITS_Q; + unsigned sign : 1; +# endif /* not bigendian */ + } bits __attribute__ ((packed)); +}; + + +# define FP_DECL_Q(X) _FP_DECL (4, X) +# define FP_UNPACK_RAW_Q(X, val) _FP_UNPACK_RAW_4 (Q, X, (val)) +# define FP_UNPACK_RAW_QP(X, val) _FP_UNPACK_RAW_4_P (Q, X, (val)) +# define FP_PACK_RAW_Q(val, X) _FP_PACK_RAW_4 (Q, (val), X) +# define FP_PACK_RAW_QP(val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_4_P (Q, (val), X); \ + } \ + while (0) + +# define FP_UNPACK_Q(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_4 (Q, X, (val)); \ + _FP_UNPACK_CANONICAL (Q, 4, X); \ + } \ + while (0) + +# define FP_UNPACK_QP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_4_P (Q, X, (val)); \ + _FP_UNPACK_CANONICAL (Q, 4, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_Q(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_4 (Q, X, (val)); \ + _FP_UNPACK_SEMIRAW (Q, 4, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_QP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_4_P (Q, X, (val)); \ + _FP_UNPACK_SEMIRAW (Q, 4, X); \ + } \ + while (0) + +# define FP_PACK_Q(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (Q, 4, X); \ + _FP_PACK_RAW_4 (Q, (val), X); \ + } \ + while (0) + +# define FP_PACK_QP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (Q, 4, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_4_P (Q, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_Q(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (Q, 4, X); \ + _FP_PACK_RAW_4 (Q, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_QP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (Q, 4, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_4_P (Q, (val), X); \ + } \ + while (0) + +# define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN (Q, 4, X) +# define FP_NEG_Q(R, X) _FP_NEG (Q, 4, R, X) +# define FP_ADD_Q(R, X, Y) _FP_ADD (Q, 4, R, X, Y) +# define FP_SUB_Q(R, X, Y) _FP_SUB (Q, 4, R, X, Y) +# define FP_MUL_Q(R, X, Y) _FP_MUL (Q, 4, R, X, Y) +# define FP_DIV_Q(R, X, Y) _FP_DIV (Q, 4, R, X, Y) +# define FP_SQRT_Q(R, X) _FP_SQRT (Q, 4, R, X) +# define _FP_SQRT_MEAT_Q(R, S, T, X, Q) _FP_SQRT_MEAT_4 (R, S, T, X, (Q)) +# define FP_FMA_Q(R, X, Y, Z) _FP_FMA (Q, 4, 8, R, X, Y, Z) + +# define FP_CMP_Q(r, X, Y, un, ex) _FP_CMP (Q, 4, (r), X, Y, (un), (ex)) +# define FP_CMP_EQ_Q(r, X, Y, ex) _FP_CMP_EQ (Q, 4, (r), X, Y, (ex)) +# define FP_CMP_UNORD_Q(r, X, Y, ex) _FP_CMP_UNORD (Q, 4, (r), X, Y, (ex)) + +# define FP_TO_INT_Q(r, X, rsz, rsg) _FP_TO_INT (Q, 4, (r), X, (rsz), (rsg)) +# define FP_FROM_INT_Q(X, r, rs, rt) _FP_FROM_INT (Q, 4, X, (r), (rs), rt) + +# define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_4 (X) +# define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_4 (X) + +# define _FP_FRAC_HIGH_DW_Q(X) _FP_FRAC_HIGH_8 (X) + +#else /* not _FP_W_TYPE_SIZE < 64 */ +union _FP_UNION_Q +{ + TFtype flt /* __attribute__ ((mode (TF))) */ ; + struct _FP_STRUCT_LAYOUT + { + _FP_W_TYPE a, b; + } longs; + struct _FP_STRUCT_LAYOUT + { +# if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_Q; + _FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE; + _FP_W_TYPE frac0 : _FP_W_TYPE_SIZE; +# else + _FP_W_TYPE frac0 : _FP_W_TYPE_SIZE; + _FP_W_TYPE frac1 : _FP_FRACBITS_Q - (_FP_IMPLBIT_Q != 0) - _FP_W_TYPE_SIZE; + unsigned exp : _FP_EXPBITS_Q; + unsigned sign : 1; +# endif + } bits; +}; + +# define FP_DECL_Q(X) _FP_DECL (2, X) +# define FP_UNPACK_RAW_Q(X, val) _FP_UNPACK_RAW_2 (Q, X, (val)) +# define FP_UNPACK_RAW_QP(X, val) _FP_UNPACK_RAW_2_P (Q, X, (val)) +# define FP_PACK_RAW_Q(val, X) _FP_PACK_RAW_2 (Q, (val), X) +# define FP_PACK_RAW_QP(val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P (Q, (val), X); \ + } \ + while (0) + +# define FP_UNPACK_Q(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2 (Q, X, (val)); \ + _FP_UNPACK_CANONICAL (Q, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_QP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2_P (Q, X, (val)); \ + _FP_UNPACK_CANONICAL (Q, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_Q(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2 (Q, X, (val)); \ + _FP_UNPACK_SEMIRAW (Q, 2, X); \ + } \ + while (0) + +# define FP_UNPACK_SEMIRAW_QP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_2_P (Q, X, (val)); \ + _FP_UNPACK_SEMIRAW (Q, 2, X); \ + } \ + while (0) + +# define FP_PACK_Q(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (Q, 2, X); \ + _FP_PACK_RAW_2 (Q, (val), X); \ + } \ + while (0) + +# define FP_PACK_QP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (Q, 2, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P (Q, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_Q(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (Q, 2, X); \ + _FP_PACK_RAW_2 (Q, (val), X); \ + } \ + while (0) + +# define FP_PACK_SEMIRAW_QP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (Q, 2, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_2_P (Q, (val), X); \ + } \ + while (0) + +# define FP_ISSIGNAN_Q(X) _FP_ISSIGNAN (Q, 2, X) +# define FP_NEG_Q(R, X) _FP_NEG (Q, 2, R, X) +# define FP_ADD_Q(R, X, Y) _FP_ADD (Q, 2, R, X, Y) +# define FP_SUB_Q(R, X, Y) _FP_SUB (Q, 2, R, X, Y) +# define FP_MUL_Q(R, X, Y) _FP_MUL (Q, 2, R, X, Y) +# define FP_DIV_Q(R, X, Y) _FP_DIV (Q, 2, R, X, Y) +# define FP_SQRT_Q(R, X) _FP_SQRT (Q, 2, R, X) +# define _FP_SQRT_MEAT_Q(R, S, T, X, Q) _FP_SQRT_MEAT_2 (R, S, T, X, (Q)) +# define FP_FMA_Q(R, X, Y, Z) _FP_FMA (Q, 2, 4, R, X, Y, Z) + +# define FP_CMP_Q(r, X, Y, un, ex) _FP_CMP (Q, 2, (r), X, Y, (un), (ex)) +# define FP_CMP_EQ_Q(r, X, Y, ex) _FP_CMP_EQ (Q, 2, (r), X, Y, (ex)) +# define FP_CMP_UNORD_Q(r, X, Y, ex) _FP_CMP_UNORD (Q, 2, (r), X, Y, (ex)) + +# define FP_TO_INT_Q(r, X, rsz, rsg) _FP_TO_INT (Q, 2, (r), X, (rsz), (rsg)) +# define FP_FROM_INT_Q(X, r, rs, rt) _FP_FROM_INT (Q, 2, X, (r), (rs), rt) + +# define _FP_FRAC_HIGH_Q(X) _FP_FRAC_HIGH_2 (X) +# define _FP_FRAC_HIGH_RAW_Q(X) _FP_FRAC_HIGH_2 (X) + +# define _FP_FRAC_HIGH_DW_Q(X) _FP_FRAC_HIGH_4 (X) + +#endif /* not _FP_W_TYPE_SIZE < 64 */ diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/single.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/single.h new file mode 100644 index 0000000000..086a558b9e --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/single.h @@ -0,0 +1,192 @@ +/* Software floating-point emulation. + Definitions for IEEE Single Precision. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#if _FP_W_TYPE_SIZE < 32 +# error "Here's a nickel kid. Go buy yourself a real computer." +#endif + +#define _FP_FRACTBITS_S _FP_W_TYPE_SIZE + +#if _FP_W_TYPE_SIZE < 64 +# define _FP_FRACTBITS_DW_S (2 * _FP_W_TYPE_SIZE) +#else +# define _FP_FRACTBITS_DW_S _FP_W_TYPE_SIZE +#endif + +#define _FP_FRACBITS_S 24 +#define _FP_FRACXBITS_S (_FP_FRACTBITS_S - _FP_FRACBITS_S) +#define _FP_WFRACBITS_S (_FP_WORKBITS + _FP_FRACBITS_S) +#define _FP_WFRACXBITS_S (_FP_FRACTBITS_S - _FP_WFRACBITS_S) +#define _FP_EXPBITS_S 8 +#define _FP_EXPBIAS_S 127 +#define _FP_EXPMAX_S 255 +#define _FP_QNANBIT_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-2)) +#define _FP_QNANBIT_SH_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-2+_FP_WORKBITS)) +#define _FP_IMPLBIT_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-1)) +#define _FP_IMPLBIT_SH_S ((_FP_W_TYPE) 1 << (_FP_FRACBITS_S-1+_FP_WORKBITS)) +#define _FP_OVERFLOW_S ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_S)) + +#define _FP_WFRACBITS_DW_S (2 * _FP_WFRACBITS_S) +#define _FP_WFRACXBITS_DW_S (_FP_FRACTBITS_DW_S - _FP_WFRACBITS_DW_S) +#define _FP_HIGHBIT_DW_S \ + ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_S - 1) % _FP_W_TYPE_SIZE) + +/* The implementation of _FP_MUL_MEAT_S and _FP_DIV_MEAT_S should be + chosen by the target machine. */ + +typedef float SFtype __attribute__ ((mode (SF))); + +union _FP_UNION_S +{ + SFtype flt; + struct _FP_STRUCT_LAYOUT + { +#if __BYTE_ORDER == __BIG_ENDIAN + unsigned sign : 1; + unsigned exp : _FP_EXPBITS_S; + unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); +#else + unsigned frac : _FP_FRACBITS_S - (_FP_IMPLBIT_S != 0); + unsigned exp : _FP_EXPBITS_S; + unsigned sign : 1; +#endif + } bits __attribute__ ((packed)); +}; + +#define FP_DECL_S(X) _FP_DECL (1, X) +#define FP_UNPACK_RAW_S(X, val) _FP_UNPACK_RAW_1 (S, X, (val)) +#define FP_UNPACK_RAW_SP(X, val) _FP_UNPACK_RAW_1_P (S, X, (val)) +#define FP_PACK_RAW_S(val, X) _FP_PACK_RAW_1 (S, (val), X) +#define FP_PACK_RAW_SP(val, X) \ + do \ + { \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P (S, (val), X); \ + } \ + while (0) + +#define FP_UNPACK_S(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1 (S, X, (val)); \ + _FP_UNPACK_CANONICAL (S, 1, X); \ + } \ + while (0) + +#define FP_UNPACK_SP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1_P (S, X, (val)); \ + _FP_UNPACK_CANONICAL (S, 1, X); \ + } \ + while (0) + +#define FP_UNPACK_SEMIRAW_S(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1 (S, X, (val)); \ + _FP_UNPACK_SEMIRAW (S, 1, X); \ + } \ + while (0) + +#define FP_UNPACK_SEMIRAW_SP(X, val) \ + do \ + { \ + _FP_UNPACK_RAW_1_P (S, X, (val)); \ + _FP_UNPACK_SEMIRAW (S, 1, X); \ + } \ + while (0) + +#define FP_PACK_S(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (S, 1, X); \ + _FP_PACK_RAW_1 (S, (val), X); \ + } \ + while (0) + +#define FP_PACK_SP(val, X) \ + do \ + { \ + _FP_PACK_CANONICAL (S, 1, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P (S, (val), X); \ + } \ + while (0) + +#define FP_PACK_SEMIRAW_S(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (S, 1, X); \ + _FP_PACK_RAW_1 (S, (val), X); \ + } \ + while (0) + +#define FP_PACK_SEMIRAW_SP(val, X) \ + do \ + { \ + _FP_PACK_SEMIRAW (S, 1, X); \ + if (!FP_INHIBIT_RESULTS) \ + _FP_PACK_RAW_1_P (S, (val), X); \ + } \ + while (0) + +#define FP_ISSIGNAN_S(X) _FP_ISSIGNAN (S, 1, X) +#define FP_NEG_S(R, X) _FP_NEG (S, 1, R, X) +#define FP_ADD_S(R, X, Y) _FP_ADD (S, 1, R, X, Y) +#define FP_SUB_S(R, X, Y) _FP_SUB (S, 1, R, X, Y) +#define FP_MUL_S(R, X, Y) _FP_MUL (S, 1, R, X, Y) +#define FP_DIV_S(R, X, Y) _FP_DIV (S, 1, R, X, Y) +#define FP_SQRT_S(R, X) _FP_SQRT (S, 1, R, X) +#define _FP_SQRT_MEAT_S(R, S, T, X, Q) _FP_SQRT_MEAT_1 (R, S, T, X, (Q)) + +#if _FP_W_TYPE_SIZE < 64 +# define FP_FMA_S(R, X, Y, Z) _FP_FMA (S, 1, 2, R, X, Y, Z) +#else +# define FP_FMA_S(R, X, Y, Z) _FP_FMA (S, 1, 1, R, X, Y, Z) +#endif + +#define FP_CMP_S(r, X, Y, un, ex) _FP_CMP (S, 1, (r), X, Y, (un), (ex)) +#define FP_CMP_EQ_S(r, X, Y, ex) _FP_CMP_EQ (S, 1, (r), X, Y, (ex)) +#define FP_CMP_UNORD_S(r, X, Y, ex) _FP_CMP_UNORD (S, 1, (r), X, Y, (ex)) + +#define FP_TO_INT_S(r, X, rsz, rsg) _FP_TO_INT (S, 1, (r), X, (rsz), (rsg)) +#define FP_FROM_INT_S(X, r, rs, rt) _FP_FROM_INT (S, 1, X, (r), (rs), rt) + +#define _FP_FRAC_HIGH_S(X) _FP_FRAC_HIGH_1 (X) +#define _FP_FRAC_HIGH_RAW_S(X) _FP_FRAC_HIGH_1 (X) + +#if _FP_W_TYPE_SIZE < 64 +# define _FP_FRAC_HIGH_DW_S(X) _FP_FRAC_HIGH_2 (X) +#else +# define _FP_FRAC_HIGH_DW_S(X) _FP_FRAC_HIGH_1 (X) +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/soft-fp.h b/contrib/toolchain/gcc/5x/libgcc/soft-fp/soft-fp.h new file mode 100644 index 0000000000..05fcca0aba --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/soft-fp.h @@ -0,0 +1,325 @@ +/* Software floating-point emulation. + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com), + Jakub Jelinek (jj@ultra.linux.cz), + David S. Miller (davem@redhat.com) and + Peter Maydell (pmaydell@chiark.greenend.org.uk). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#ifndef SOFT_FP_H +#define SOFT_FP_H + +#ifdef _LIBC +# include +#else +# include "sfp-machine.h" +#endif + +/* Allow sfp-machine to have its own byte order definitions. */ +#ifndef __BYTE_ORDER +# ifdef _LIBC +# include +# else +# error "endianness not defined by sfp-machine.h" +# endif +#endif + +#define _FP_WORKBITS 3 +#define _FP_WORK_LSB ((_FP_W_TYPE) 1 << 3) +#define _FP_WORK_ROUND ((_FP_W_TYPE) 1 << 2) +#define _FP_WORK_GUARD ((_FP_W_TYPE) 1 << 1) +#define _FP_WORK_STICKY ((_FP_W_TYPE) 1 << 0) + +#ifndef FP_RND_NEAREST +# define FP_RND_NEAREST 0 +# define FP_RND_ZERO 1 +# define FP_RND_PINF 2 +# define FP_RND_MINF 3 +#endif +#ifndef FP_ROUNDMODE +# define FP_ROUNDMODE FP_RND_NEAREST +#endif + +/* By default don't care about exceptions. */ +#ifndef FP_EX_INVALID +# define FP_EX_INVALID 0 +#endif +#ifndef FP_EX_OVERFLOW +# define FP_EX_OVERFLOW 0 +#endif +#ifndef FP_EX_UNDERFLOW +# define FP_EX_UNDERFLOW 0 +#endif +#ifndef FP_EX_DIVZERO +# define FP_EX_DIVZERO 0 +#endif +#ifndef FP_EX_INEXACT +# define FP_EX_INEXACT 0 +#endif +#ifndef FP_EX_DENORM +# define FP_EX_DENORM 0 +#endif + +/* Sub-exceptions of "invalid". */ +/* Signaling NaN operand. */ +#ifndef FP_EX_INVALID_SNAN +# define FP_EX_INVALID_SNAN 0 +#endif +/* Inf * 0. */ +#ifndef FP_EX_INVALID_IMZ +# define FP_EX_INVALID_IMZ 0 +#endif +/* fma (Inf, 0, c). */ +#ifndef FP_EX_INVALID_IMZ_FMA +# define FP_EX_INVALID_IMZ_FMA 0 +#endif +/* Inf - Inf. */ +#ifndef FP_EX_INVALID_ISI +# define FP_EX_INVALID_ISI 0 +#endif +/* 0 / 0. */ +#ifndef FP_EX_INVALID_ZDZ +# define FP_EX_INVALID_ZDZ 0 +#endif +/* Inf / Inf. */ +#ifndef FP_EX_INVALID_IDI +# define FP_EX_INVALID_IDI 0 +#endif +/* sqrt (negative). */ +#ifndef FP_EX_INVALID_SQRT +# define FP_EX_INVALID_SQRT 0 +#endif +/* Invalid conversion to integer. */ +#ifndef FP_EX_INVALID_CVI +# define FP_EX_INVALID_CVI 0 +#endif +/* Invalid comparison. */ +#ifndef FP_EX_INVALID_VC +# define FP_EX_INVALID_VC 0 +#endif + +/* _FP_STRUCT_LAYOUT may be defined as an attribute to determine the + struct layout variant used for structures where bit-fields are used + to access specific parts of binary floating-point numbers. This is + required for systems where the default ABI uses struct layout with + differences in how consecutive bit-fields are laid out from the + default expected by soft-fp. */ +#ifndef _FP_STRUCT_LAYOUT +# define _FP_STRUCT_LAYOUT +#endif + +#ifdef _FP_DECL_EX +# define FP_DECL_EX \ + int _fex = 0; \ + _FP_DECL_EX +#else +# define FP_DECL_EX int _fex = 0 +#endif + +/* Initialize any machine-specific state used in FP_ROUNDMODE, + FP_TRAPPING_EXCEPTIONS or FP_HANDLE_EXCEPTIONS. */ +#ifndef FP_INIT_ROUNDMODE +# define FP_INIT_ROUNDMODE do {} while (0) +#endif + +/* Initialize any machine-specific state used in + FP_TRAPPING_EXCEPTIONS or FP_HANDLE_EXCEPTIONS. */ +#ifndef FP_INIT_TRAPPING_EXCEPTIONS +# define FP_INIT_TRAPPING_EXCEPTIONS FP_INIT_ROUNDMODE +#endif + +/* Initialize any machine-specific state used in + FP_HANDLE_EXCEPTIONS. */ +#ifndef FP_INIT_EXCEPTIONS +# define FP_INIT_EXCEPTIONS FP_INIT_TRAPPING_EXCEPTIONS +#endif + +#ifndef FP_HANDLE_EXCEPTIONS +# define FP_HANDLE_EXCEPTIONS do {} while (0) +#endif + +/* Whether to flush subnormal inputs to zero with the same sign. */ +#ifndef FP_DENORM_ZERO +# define FP_DENORM_ZERO 0 +#endif + +#ifndef FP_INHIBIT_RESULTS +/* By default we write the results always. + sfp-machine may override this and e.g. + check if some exceptions are unmasked + and inhibit it in such a case. */ +# define FP_INHIBIT_RESULTS 0 +#endif + +#define FP_SET_EXCEPTION(ex) \ + _fex |= (ex) + +#define FP_CUR_EXCEPTIONS \ + (_fex) + +#ifndef FP_TRAPPING_EXCEPTIONS +# define FP_TRAPPING_EXCEPTIONS 0 +#endif + +/* A file using soft-fp may define FP_NO_EXCEPTIONS before including + soft-fp.h to indicate that, although a macro used there could raise + exceptions, or do rounding and potentially thereby raise + exceptions, for some arguments, for the particular arguments used + in that file no exceptions or rounding can occur. Such a file + should not itself use macros relating to handling exceptions and + rounding modes; this is only for indirect uses (in particular, in + _FP_FROM_INT and the macros it calls). */ +#ifdef FP_NO_EXCEPTIONS + +# undef FP_SET_EXCEPTION +# define FP_SET_EXCEPTION(ex) do {} while (0) + +# undef FP_CUR_EXCEPTIONS +# define FP_CUR_EXCEPTIONS 0 + +# undef FP_TRAPPING_EXCEPTIONS +# define FP_TRAPPING_EXCEPTIONS 0 + +# undef FP_ROUNDMODE +# define FP_ROUNDMODE FP_RND_ZERO + +# undef _FP_TININESS_AFTER_ROUNDING +# define _FP_TININESS_AFTER_ROUNDING 0 + +#endif + +/* A file using soft-fp may define FP_NO_EXACT_UNDERFLOW before + including soft-fp.h to indicate that, although a macro used there + could allow for the case of exact underflow requiring the underflow + exception to be raised if traps are enabled, for the particular + arguments used in that file no exact underflow can occur. */ +#ifdef FP_NO_EXACT_UNDERFLOW +# undef FP_TRAPPING_EXCEPTIONS +# define FP_TRAPPING_EXCEPTIONS 0 +#endif + +#define _FP_ROUND_NEAREST(wc, X) \ + do \ + { \ + if ((_FP_FRAC_LOW_##wc (X) & 15) != _FP_WORK_ROUND) \ + _FP_FRAC_ADDI_##wc (X, _FP_WORK_ROUND); \ + } \ + while (0) + +#define _FP_ROUND_ZERO(wc, X) (void) 0 + +#define _FP_ROUND_PINF(wc, X) \ + do \ + { \ + if (!X##_s && (_FP_FRAC_LOW_##wc (X) & 7)) \ + _FP_FRAC_ADDI_##wc (X, _FP_WORK_LSB); \ + } \ + while (0) + +#define _FP_ROUND_MINF(wc, X) \ + do \ + { \ + if (X##_s && (_FP_FRAC_LOW_##wc (X) & 7)) \ + _FP_FRAC_ADDI_##wc (X, _FP_WORK_LSB); \ + } \ + while (0) + +#define _FP_ROUND(wc, X) \ + do \ + { \ + if (_FP_FRAC_LOW_##wc (X) & 7) \ + { \ + FP_SET_EXCEPTION (FP_EX_INEXACT); \ + switch (FP_ROUNDMODE) \ + { \ + case FP_RND_NEAREST: \ + _FP_ROUND_NEAREST (wc, X); \ + break; \ + case FP_RND_ZERO: \ + _FP_ROUND_ZERO (wc, X); \ + break; \ + case FP_RND_PINF: \ + _FP_ROUND_PINF (wc, X); \ + break; \ + case FP_RND_MINF: \ + _FP_ROUND_MINF (wc, X); \ + break; \ + } \ + } \ + } \ + while (0) + +#define FP_CLS_NORMAL 0 +#define FP_CLS_ZERO 1 +#define FP_CLS_INF 2 +#define FP_CLS_NAN 3 + +#define _FP_CLS_COMBINE(x, y) (((x) << 2) | (y)) + +#include "op-1.h" +#include "op-2.h" +#include "op-4.h" +#include "op-8.h" +#include "op-common.h" + +/* Sigh. Silly things longlong.h needs. */ +#define UWtype _FP_W_TYPE +#define W_TYPE_SIZE _FP_W_TYPE_SIZE + +typedef int QItype __attribute__ ((mode (QI))); +typedef int SItype __attribute__ ((mode (SI))); +typedef int DItype __attribute__ ((mode (DI))); +typedef unsigned int UQItype __attribute__ ((mode (QI))); +typedef unsigned int USItype __attribute__ ((mode (SI))); +typedef unsigned int UDItype __attribute__ ((mode (DI))); +#if _FP_W_TYPE_SIZE == 32 +typedef unsigned int UHWtype __attribute__ ((mode (HI))); +#elif _FP_W_TYPE_SIZE == 64 +typedef USItype UHWtype; +#endif + +#ifndef CMPtype +# define CMPtype int +#endif + +#define SI_BITS (__CHAR_BIT__ * (int) sizeof (SItype)) +#define DI_BITS (__CHAR_BIT__ * (int) sizeof (DItype)) + +#ifndef umul_ppmm +# ifdef _LIBC +# include +# else +# include "longlong.h" +# endif +#endif + +#ifdef _LIBC +# include +#else +extern void abort (void); +#endif + +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/subdf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/subdf3.c new file mode 100644 index 0000000000..ef82c86285 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/subdf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a - b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +DFtype +__subdf3 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + FP_DECL_D (R); + DFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_D (A, a); + FP_UNPACK_SEMIRAW_D (B, b); + FP_SUB_D (R, A, B); + FP_PACK_SEMIRAW_D (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/subsf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/subsf3.c new file mode 100644 index 0000000000..8d36e284c7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/subsf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a - b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +SFtype +__subsf3 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + FP_DECL_S (R); + SFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_S (A, a); + FP_UNPACK_SEMIRAW_S (B, b); + FP_SUB_S (R, A, B); + FP_PACK_SEMIRAW_S (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/subtf3.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/subtf3.c new file mode 100644 index 0000000000..490ff9cefb --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/subtf3.c @@ -0,0 +1,51 @@ +/* Software floating-point emulation. + Return a - b + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +TFtype +__subtf3 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + FP_DECL_Q (R); + TFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_Q (A, a); + FP_UNPACK_SEMIRAW_Q (B, b); + FP_SUB_Q (R, A, B); + FP_PACK_SEMIRAW_Q (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/truncdfsf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/truncdfsf2.c new file mode 100644 index 0000000000..e6ccb59079 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/truncdfsf2.c @@ -0,0 +1,54 @@ +/* Software floating-point emulation. + Truncate IEEE double into IEEE single + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" +#include "double.h" + +SFtype +__truncdfsf2 (DFtype a) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_S (R); + SFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_D (A, a); +#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D + FP_TRUNC (S, D, 1, 2, R, A); +#else + FP_TRUNC (S, D, 1, 1, R, A); +#endif + FP_PACK_SEMIRAW_S (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfdf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfdf2.c new file mode 100644 index 0000000000..781b5b90b0 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfdf2.c @@ -0,0 +1,54 @@ +/* Software floating-point emulation. + Truncate IEEE quad into IEEE double + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" +#include "quad.h" + +DFtype +__trunctfdf2 (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_D (R); + DFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_Q (A, a); +#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q + FP_TRUNC (D, Q, 2, 4, R, A); +#else + FP_TRUNC (D, Q, 1, 2, R, A); +#endif + FP_PACK_SEMIRAW_D (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfsf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfsf2.c new file mode 100644 index 0000000000..76437c4d34 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfsf2.c @@ -0,0 +1,54 @@ +/* Software floating-point emulation. + Truncate IEEE quad into IEEE single + Copyright (C) 1997-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Richard Henderson (rth@cygnus.com) and + Jakub Jelinek (jj@ultra.linux.cz). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" +#include "quad.h" + +SFtype +__trunctfsf2 (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_S (R); + SFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_Q (A, a); +#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q + FP_TRUNC (S, Q, 1, 4, R, A); +#else + FP_TRUNC (S, Q, 1, 2, R, A); +#endif + FP_PACK_SEMIRAW_S (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfxf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfxf2.c new file mode 100644 index 0000000000..1782aaa7d8 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/trunctfxf2.c @@ -0,0 +1,53 @@ +/* Software floating-point emulation. + Truncate IEEE quad into IEEE extended + Copyright (C) 2007-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Uros Bizjak (ubizjak@gmail.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "extended.h" +#include "quad.h" + +XFtype +__trunctfxf2 (TFtype a) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_E (R); + XFtype r; + + FP_INIT_ROUNDMODE; + FP_UNPACK_SEMIRAW_Q (A, a); +#if (2 * _FP_W_TYPE_SIZE) < _FP_FRACBITS_Q + FP_TRUNC (E, Q, 4, 4, R, A); +#else + FP_TRUNC (E, Q, 2, 2, R, A); +#endif + FP_PACK_SEMIRAW_E (r, R); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/unorddf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/unorddf2.c new file mode 100644 index 0000000000..e09a1ece65 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/unorddf2.c @@ -0,0 +1,48 @@ +/* Software floating-point emulation. + Return 1 iff a or b is a NaN, 0 otherwise. + Copyright (C) 2006-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Joseph Myers (joseph@codesourcery.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "double.h" + +CMPtype +__unorddf2 (DFtype a, DFtype b) +{ + FP_DECL_EX; + FP_DECL_D (A); + FP_DECL_D (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_D (A, a); + FP_UNPACK_RAW_D (B, b); + FP_CMP_UNORD_D (r, A, B, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/unordsf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/unordsf2.c new file mode 100644 index 0000000000..4d6be98a75 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/unordsf2.c @@ -0,0 +1,48 @@ +/* Software floating-point emulation. + Return 1 iff a or b is a NaN, 0 otherwise. + Copyright (C) 2006-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Joseph Myers (joseph@codesourcery.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "single.h" + +CMPtype +__unordsf2 (SFtype a, SFtype b) +{ + FP_DECL_EX; + FP_DECL_S (A); + FP_DECL_S (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_S (A, a); + FP_UNPACK_RAW_S (B, b); + FP_CMP_UNORD_S (r, A, B, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/soft-fp/unordtf2.c b/contrib/toolchain/gcc/5x/libgcc/soft-fp/unordtf2.c new file mode 100644 index 0000000000..79d34211cf --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/soft-fp/unordtf2.c @@ -0,0 +1,48 @@ +/* Software floating-point emulation. + Return 1 iff a or b is a NaN, 0 otherwise. + Copyright (C) 2006-2014 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Joseph Myers (joseph@codesourcery.com). + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + In addition to the permissions in the GNU Lesser General Public + License, the Free Software Foundation gives you unlimited + permission to link the compiled version of this file into + combinations with other programs, and to distribute those + combinations without any restriction coming from the use of this + file. (The Lesser General Public License restrictions do apply in + other respects; for example, they cover modification of the file, + and distribution when not linked into a combine executable.) + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + . */ + +#include "soft-fp.h" +#include "quad.h" + +CMPtype +__unordtf2 (TFtype a, TFtype b) +{ + FP_DECL_EX; + FP_DECL_Q (A); + FP_DECL_Q (B); + CMPtype r; + + FP_INIT_EXCEPTIONS; + FP_UNPACK_RAW_Q (A, a); + FP_UNPACK_RAW_Q (B, b); + FP_CMP_UNORD_Q (r, A, B, 1); + FP_HANDLE_EXCEPTIONS; + + return r; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/sync.c b/contrib/toolchain/gcc/5x/libgcc/sync.c new file mode 100644 index 0000000000..7ee85cba51 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/sync.c @@ -0,0 +1,175 @@ +/* Out-of-line libgcc versions of __sync_* builtins. */ +/* Copyright (C) 2008-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file is used by targets whose makefiles define SYNC + to "yes". It is compiled with SYNC_CFLAGS and provides + out-of-line versions of all relevant __sync_* primitives. + + These routines are intended for targets like MIPS that have two + ISA encodings (the "normal" ISA and the MIPS16 ISA). The normal + ISA provides full synchronization capabilities but the MIPS16 ISA + has no encoding for them. MIPS16 code must therefore call external + non-MIPS16 implementations of the __sync_* routines. + + The file is compiled once for each routine. The following __foo + routines are selected by defining a macro called L: + + __sync_synchronize + + The following __foo_N routines are selected by defining FN=foo + and SIZE=N: + + __sync_fetch_and_add_N + __sync_fetch_and_sub_N + __sync_fetch_and_or_N + __sync_fetch_and_and_N + __sync_fetch_and_xor_N + __sync_fetch_and_nand_N + __sync_add_and_fetch_N + __sync_sub_and_fetch_N + __sync_or_and_fetch_N + __sync_and_and_fetch_N + __sync_xor_and_fetch_N + __sync_nand_and_fetch_N + __sync_bool_compare_and_swap_N + __sync_val_compare_and_swap_N + __sync_lock_test_and_set_N + + SIZE can be 1, 2, 4, 8 or 16. __foo_N is omitted if the target does + not provide __sync_compare_and_swap_N. + + Note that __sync_lock_release does not fall back on external + __sync_lock_release_N functions. The default implementation + of __sync_lock_release is a call to __sync_synchronize followed + by a store of zero, so we don't need separate library functions + for it. */ + +#if defined FN + +/* Define functions called __sync__, with one macro per + signature. TYPE is a type that has UNITS bytes. */ + +#define DEFINE_V_PV(NAME, UNITS, TYPE) \ + TYPE \ + __##NAME##_##UNITS (TYPE *ptr, TYPE value) \ + { \ + return __##NAME (ptr, value); \ + } + +#define DEFINE_V_PVV(NAME, UNITS, TYPE) \ + TYPE \ + __##NAME##_##UNITS (TYPE *ptr, TYPE value1, TYPE value2) \ + { \ + return __##NAME (ptr, value1, value2); \ + } + +#define DEFINE_BOOL_PVV(NAME, UNITS, TYPE) \ + _Bool \ + __##NAME##_##UNITS (TYPE *ptr, TYPE value1, TYPE value2) \ + { \ + return __##NAME (ptr, value1, value2); \ + } + +/* Map function names to the appropriate DEFINE_* macro. */ + +#define local_sync_fetch_and_add DEFINE_V_PV +#define local_sync_fetch_and_sub DEFINE_V_PV +#define local_sync_fetch_and_or DEFINE_V_PV +#define local_sync_fetch_and_and DEFINE_V_PV +#define local_sync_fetch_and_xor DEFINE_V_PV +#define local_sync_fetch_and_nand DEFINE_V_PV + +#define local_sync_add_and_fetch DEFINE_V_PV +#define local_sync_sub_and_fetch DEFINE_V_PV +#define local_sync_or_and_fetch DEFINE_V_PV +#define local_sync_and_and_fetch DEFINE_V_PV +#define local_sync_xor_and_fetch DEFINE_V_PV +#define local_sync_nand_and_fetch DEFINE_V_PV + +#define local_sync_bool_compare_and_swap DEFINE_BOOL_PVV +#define local_sync_val_compare_and_swap DEFINE_V_PVV + +#define local_sync_lock_test_and_set DEFINE_V_PV + +/* Define the function ___, given that TYPE is a type with + UNITS bytes. */ +#define DEFINE1(NAME, UNITS, TYPE) \ + static int unused[sizeof (TYPE) == UNITS ? 1 : -1] \ + __attribute__((unused)); \ + local_##NAME (NAME, UNITS, TYPE); + +/* As above, but performing macro expansion on the arguments. */ +#define DEFINE(NAME, UNITS, TYPE) DEFINE1 (NAME, UNITS, TYPE) + +/* Find an appropriate type TYPE for SIZE and invoke DEFINE (FN, SIZE, TYPE). + + The types chosen here may be incorrect for some targets. + For example, targets with 16-byte atomicity support might not + support OImode. We would need some kind of target-specific + override if that becomes a problem. */ + +#if SIZE == 1 && __GCC_HAVE_SYNC_COMPARE_AND_SWAP_1 + +typedef unsigned int UQItype __attribute__((mode (QI))); +DEFINE (FN, 1, UQItype) + +#elif SIZE == 2 && __GCC_HAVE_SYNC_COMPARE_AND_SWAP_2 + +typedef unsigned int UHItype __attribute__((mode (HI))); +DEFINE (FN, 2, UHItype) + +#elif SIZE == 4 && __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 + +typedef unsigned int USItype __attribute__((mode (SI))); +DEFINE (FN, 4, USItype) + +#elif SIZE == 8 && __GCC_HAVE_SYNC_COMPARE_AND_SWAP_8 + +typedef unsigned int UDItype __attribute__((mode (DI))); +DEFINE (FN, 8, UDItype) + +#elif SIZE == 16 && __GCC_HAVE_SYNC_COMPARE_AND_SWAP_16 + +typedef unsigned int UOItype __attribute__((mode (OI))); +DEFINE (FN, 8, UOItype) + +#endif + +#elif __GCC_HAVE_SYNC_COMPARE_AND_SWAP_1 \ + || __GCC_HAVE_SYNC_COMPARE_AND_SWAP_2 \ + || __GCC_HAVE_SYNC_COMPARE_AND_SWAP_4 \ + || __GCC_HAVE_SYNC_COMPARE_AND_SWAP_8 \ + || __GCC_HAVE_SYNC_COMPARE_AND_SWAP_16 + +#if defined Lsync_synchronize + +void +__sync_synchronize (void) +{ + __sync_synchronize (); +} + +#endif + +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/udivmod.c b/contrib/toolchain/gcc/5x/libgcc/udivmod.c new file mode 100644 index 0000000000..59fc9c8166 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/udivmod.c @@ -0,0 +1,37 @@ +/* Copyright (C) 2000-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +long udivmodsi4 (); + +long +__udivsi3 (long a, long b) +{ + return udivmodsi4 (a, b, 0); +} + +long +__umodsi3 (long a, long b) +{ + return udivmodsi4 (a, b, 1); +} + diff --git a/contrib/toolchain/gcc/5x/libgcc/udivmodsi4.c b/contrib/toolchain/gcc/5x/libgcc/udivmodsi4.c new file mode 100644 index 0000000000..d57b37fb8b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/udivmodsi4.c @@ -0,0 +1,47 @@ +/* Copyright (C) 2000-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +unsigned long +udivmodsi4(unsigned long num, unsigned long den, int modwanted) +{ + unsigned long bit = 1; + unsigned long res = 0; + + while (den < num && bit && !(den & (1L<<31))) + { + den <<=1; + bit <<=1; + } + while (bit) + { + if (num >= den) + { + num -= den; + res |= bit; + } + bit >>=1; + den >>=1; + } + if (modwanted) return num; + return res; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-c.c b/contrib/toolchain/gcc/5x/libgcc/unwind-c.c new file mode 100644 index 0000000000..d62afbb17f --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-c.c @@ -0,0 +1,244 @@ +/* Supporting functions for C exception handling. + Copyright (C) 2002-2015 Free Software Foundation, Inc. + Contributed by Aldy Hernandez . + Shamelessly stolen from the Java front end. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#include "tconfig.h" +#include "tsystem.h" +#include "unwind.h" +#define NO_SIZE_OF_ENCODED_VALUE +#include "unwind-pe.h" + +typedef struct +{ + _Unwind_Ptr Start; + _Unwind_Ptr LPStart; + _Unwind_Ptr ttype_base; + const unsigned char *TType; + const unsigned char *action_table; + unsigned char ttype_encoding; + unsigned char call_site_encoding; +} lsda_header_info; + +static const unsigned char * +parse_lsda_header (struct _Unwind_Context *context, const unsigned char *p, + lsda_header_info *info) +{ + _uleb128_t tmp; + unsigned char lpstart_encoding; + + info->Start = (context ? _Unwind_GetRegionStart (context) : 0); + + /* Find @LPStart, the base to which landing pad offsets are relative. */ + lpstart_encoding = *p++; + if (lpstart_encoding != DW_EH_PE_omit) + p = read_encoded_value (context, lpstart_encoding, p, &info->LPStart); + else + info->LPStart = info->Start; + + /* Find @TType, the base of the handler and exception spec type data. */ + info->ttype_encoding = *p++; + if (info->ttype_encoding != DW_EH_PE_omit) + { + p = read_uleb128 (p, &tmp); + info->TType = p + tmp; + } + else + info->TType = 0; + + /* The encoding and length of the call-site table; the action table + immediately follows. */ + info->call_site_encoding = *p++; + p = read_uleb128 (p, &tmp); + info->action_table = p + tmp; + + return p; +} + +#ifdef __ARM_EABI_UNWINDER__ +/* ARM EABI personality routines must also unwind the stack. */ +#define CONTINUE_UNWINDING \ + do \ + { \ + if (__gnu_unwind_frame (ue_header, context) != _URC_OK) \ + return _URC_FAILURE; \ + return _URC_CONTINUE_UNWIND; \ + } \ + while (0) +#else +#define CONTINUE_UNWINDING return _URC_CONTINUE_UNWIND +#endif + +#ifdef __USING_SJLJ_EXCEPTIONS__ +#define PERSONALITY_FUNCTION __gcc_personality_sj0 +#define __builtin_eh_return_data_regno(x) x +#elif defined(__SEH__) +#define PERSONALITY_FUNCTION __gcc_personality_imp +#else +#define PERSONALITY_FUNCTION __gcc_personality_v0 +#endif + +#ifdef __ARM_EABI_UNWINDER__ +_Unwind_Reason_Code +PERSONALITY_FUNCTION (_Unwind_State, struct _Unwind_Exception *, + struct _Unwind_Context *); + +_Unwind_Reason_Code +PERSONALITY_FUNCTION (_Unwind_State state, + struct _Unwind_Exception * ue_header, + struct _Unwind_Context * context) +#else +#if defined (__SEH__) && !defined (__USING_SJLJ_EXCEPTIONS__) +static +#endif +_Unwind_Reason_Code +PERSONALITY_FUNCTION (int, _Unwind_Action, _Unwind_Exception_Class, + struct _Unwind_Exception *, struct _Unwind_Context *); + +_Unwind_Reason_Code +PERSONALITY_FUNCTION (int version, + _Unwind_Action actions, + _Unwind_Exception_Class exception_class ATTRIBUTE_UNUSED, + struct _Unwind_Exception *ue_header, + struct _Unwind_Context *context) +#endif +{ + lsda_header_info info; + const unsigned char *language_specific_data, *p; + _Unwind_Ptr landing_pad, ip; + int ip_before_insn = 0; + +#ifdef __ARM_EABI_UNWINDER__ + if ((state & _US_ACTION_MASK) != _US_UNWIND_FRAME_STARTING) + CONTINUE_UNWINDING; + + /* The dwarf unwinder assumes the context structure holds things like the + function and LSDA pointers. The ARM implementation caches these in + the exception header (UCB). To avoid rewriting everything we make a + virtual scratch register point at the UCB. */ + ip = (_Unwind_Ptr) ue_header; + _Unwind_SetGR (context, UNWIND_POINTER_REG, ip); +#else + if (version != 1) + return _URC_FATAL_PHASE1_ERROR; + + /* Currently we only support cleanups for C. */ + if ((actions & _UA_CLEANUP_PHASE) == 0) + CONTINUE_UNWINDING; +#endif + + language_specific_data = (const unsigned char *) + _Unwind_GetLanguageSpecificData (context); + + /* If no LSDA, then there are no handlers or cleanups. */ + if (! language_specific_data) + CONTINUE_UNWINDING; + + /* Parse the LSDA header. */ + p = parse_lsda_header (context, language_specific_data, &info); +#ifdef HAVE_GETIPINFO + ip = _Unwind_GetIPInfo (context, &ip_before_insn); +#else + ip = _Unwind_GetIP (context); +#endif + if (! ip_before_insn) + --ip; + landing_pad = 0; + +#ifdef __USING_SJLJ_EXCEPTIONS__ + /* The given "IP" is an index into the call-site table, with two + exceptions -- -1 means no-action, and 0 means terminate. But + since we're using uleb128 values, we've not got random access + to the array. */ + if ((int) ip <= 0) + return _URC_CONTINUE_UNWIND; + else + { + _uleb128_t cs_lp, cs_action; + do + { + p = read_uleb128 (p, &cs_lp); + p = read_uleb128 (p, &cs_action); + } + while (--ip); + + /* Can never have null landing pad for sjlj -- that would have + been indicated by a -1 call site index. */ + landing_pad = (_Unwind_Ptr)cs_lp + 1; + goto found_something; + } +#else + /* Search the call-site table for the action associated with this IP. */ + while (p < info.action_table) + { + _Unwind_Ptr cs_start, cs_len, cs_lp; + _uleb128_t cs_action; + + /* Note that all call-site encodings are "absolute" displacements. */ + p = read_encoded_value (0, info.call_site_encoding, p, &cs_start); + p = read_encoded_value (0, info.call_site_encoding, p, &cs_len); + p = read_encoded_value (0, info.call_site_encoding, p, &cs_lp); + p = read_uleb128 (p, &cs_action); + + /* The table is sorted, so if we've passed the ip, stop. */ + if (ip < info.Start + cs_start) + p = info.action_table; + else if (ip < info.Start + cs_start + cs_len) + { + if (cs_lp) + landing_pad = info.LPStart + cs_lp; + goto found_something; + } + } +#endif + + /* IP is not in table. No associated cleanups. */ + /* ??? This is where C++ calls std::terminate to catch throw + from a destructor. */ + CONTINUE_UNWINDING; + + found_something: + if (landing_pad == 0) + { + /* IP is present, but has a null landing pad. + No handler to be run. */ + CONTINUE_UNWINDING; + } + + _Unwind_SetGR (context, __builtin_eh_return_data_regno (0), + (_Unwind_Ptr) ue_header); + _Unwind_SetGR (context, __builtin_eh_return_data_regno (1), 0); + _Unwind_SetIP (context, landing_pad); + return _URC_INSTALL_CONTEXT; +} + +#if defined (__SEH__) && !defined (__USING_SJLJ_EXCEPTIONS__) +EXCEPTION_DISPOSITION +__gcc_personality_seh0 (PEXCEPTION_RECORD ms_exc, void *this_frame, + PCONTEXT ms_orig_context, PDISPATCHER_CONTEXT ms_disp) +{ + return _GCC_specific_handler (ms_exc, this_frame, ms_orig_context, + ms_disp, __gcc_personality_imp); +} +#endif /* SEH */ diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-compat.c b/contrib/toolchain/gcc/5x/libgcc/unwind-compat.c new file mode 100644 index 0000000000..61dba0c41b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-compat.c @@ -0,0 +1,209 @@ +/* Backward compatibility unwind routines. + Copyright (C) 2004-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#if defined (USE_GAS_SYMVER) && defined (USE_LIBUNWIND_EXCEPTIONS) +#include "tconfig.h" +#include "tsystem.h" +#include "unwind.h" +#include "unwind-dw2-fde.h" +#include "unwind-compat.h" + +extern _Unwind_Reason_Code __libunwind_Unwind_Backtrace + (_Unwind_Trace_Fn, void *); + +_Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_Backtrace (_Unwind_Trace_Fn trace, void *trace_argument) +{ + return __libunwind_Unwind_Backtrace (trace, trace_argument); +} +symver (_Unwind_Backtrace, GCC_3.3); + +extern void __libunwind_Unwind_DeleteException + (struct _Unwind_Exception *); + +void +_Unwind_DeleteException (struct _Unwind_Exception *exc) +{ + return __libunwind_Unwind_DeleteException (exc); +} +symver (_Unwind_DeleteException, GCC_3.0); + +extern void * __libunwind_Unwind_FindEnclosingFunction (void *); + +void * +_Unwind_FindEnclosingFunction (void *pc) +{ + return __libunwind_Unwind_FindEnclosingFunction (pc); +} +symver (_Unwind_FindEnclosingFunction, GCC_3.3); + +extern _Unwind_Reason_Code __libunwind_Unwind_ForcedUnwind + (struct _Unwind_Exception *, _Unwind_Stop_Fn, void *); + +_Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_ForcedUnwind (struct _Unwind_Exception *exc, + _Unwind_Stop_Fn stop, void * stop_argument) +{ + return __libunwind_Unwind_ForcedUnwind (exc, stop, stop_argument); +} +symver (_Unwind_ForcedUnwind, GCC_3.0); + +extern _Unwind_Word __libunwind_Unwind_GetCFA + (struct _Unwind_Context *); + +_Unwind_Word +_Unwind_GetCFA (struct _Unwind_Context *context) +{ + return __libunwind_Unwind_GetCFA (context); +} +symver (_Unwind_GetCFA, GCC_3.3); + +#ifdef __ia64__ +extern _Unwind_Word __libunwind_Unwind_GetBSP + (struct _Unwind_Context *); + +_Unwind_Word +_Unwind_GetBSP (struct _Unwind_Context * context) +{ + return __libunwind_Unwind_GetBSP (context); +} +symver (_Unwind_GetBSP, GCC_3.3.2); +#else +extern _Unwind_Ptr __libunwind_Unwind_GetDataRelBase + (struct _Unwind_Context *); + +_Unwind_Ptr +_Unwind_GetDataRelBase (struct _Unwind_Context *context) +{ + return __libunwind_Unwind_GetDataRelBase (context); +} +symver (_Unwind_GetDataRelBase, GCC_3.0); + +extern _Unwind_Ptr __libunwind_Unwind_GetTextRelBase + (struct _Unwind_Context *); + +_Unwind_Ptr +_Unwind_GetTextRelBase (struct _Unwind_Context *context) +{ + return __libunwind_Unwind_GetTextRelBase (context); +} +symver (_Unwind_GetTextRelBase, GCC_3.0); +#endif + +extern _Unwind_Word __libunwind_Unwind_GetGR + (struct _Unwind_Context *, int ); + +_Unwind_Word +_Unwind_GetGR (struct _Unwind_Context *context, int index) +{ + return __libunwind_Unwind_GetGR (context, index); +} +symver (_Unwind_GetGR, GCC_3.0); + +extern _Unwind_Ptr __libunwind_Unwind_GetIP (struct _Unwind_Context *); + +_Unwind_Ptr +_Unwind_GetIP (struct _Unwind_Context *context) +{ + return __libunwind_Unwind_GetIP (context); +} +symver (_Unwind_GetIP, GCC_3.0); + +_Unwind_Ptr +_Unwind_GetIPInfo (struct _Unwind_Context *context, int *ip_before_insn) +{ + *ip_before_insn = 0; + return __libunwind_Unwind_GetIP (context); +} + +extern void *__libunwind_Unwind_GetLanguageSpecificData + (struct _Unwind_Context *); + +void * +_Unwind_GetLanguageSpecificData (struct _Unwind_Context *context) +{ + return __libunwind_Unwind_GetLanguageSpecificData (context); +} +symver (_Unwind_GetLanguageSpecificData, GCC_3.0); + +extern _Unwind_Ptr __libunwind_Unwind_GetRegionStart + (struct _Unwind_Context *); + +_Unwind_Ptr +_Unwind_GetRegionStart (struct _Unwind_Context *context) +{ + return __libunwind_Unwind_GetRegionStart (context); +} +symver (_Unwind_GetRegionStart, GCC_3.0); + +extern _Unwind_Reason_Code __libunwind_Unwind_RaiseException + (struct _Unwind_Exception *); + +_Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_RaiseException(struct _Unwind_Exception *exc) +{ + return __libunwind_Unwind_RaiseException (exc); +} +symver (_Unwind_RaiseException, GCC_3.0); + +extern void __libunwind_Unwind_Resume (struct _Unwind_Exception *); + +void LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_Resume (struct _Unwind_Exception *exc) +{ + __libunwind_Unwind_Resume (exc); +} +symver (_Unwind_Resume, GCC_3.0); + +extern _Unwind_Reason_Code __libunwind_Unwind_Resume_or_Rethrow + (struct _Unwind_Exception *); + +_Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_Resume_or_Rethrow (struct _Unwind_Exception *exc) +{ + return __libunwind_Unwind_Resume_or_Rethrow (exc); +} +symver (_Unwind_Resume_or_Rethrow, GCC_3.3); + +extern void __libunwind_Unwind_SetGR + (struct _Unwind_Context *, int, _Unwind_Word); + +void +_Unwind_SetGR (struct _Unwind_Context *context, int index, + _Unwind_Word val) +{ + __libunwind_Unwind_SetGR (context, index, val); +} +symver (_Unwind_SetGR, GCC_3.0); + +extern void __libunwind_Unwind_SetIP + (struct _Unwind_Context *, _Unwind_Ptr); + +void +_Unwind_SetIP (struct _Unwind_Context *context, _Unwind_Ptr val) +{ + return __libunwind_Unwind_SetIP (context, val); +} +symver (_Unwind_SetIP, GCC_3.0); +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-compat.h b/contrib/toolchain/gcc/5x/libgcc/unwind-compat.h new file mode 100644 index 0000000000..3050de09a3 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-compat.h @@ -0,0 +1,29 @@ +/* Backward compatibility unwind routines. + Copyright (C) 2004-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#define symver(name, version) \ + __asm__ (".symver " #name"," #name "@" #version) + +#define alias(name) \ + __typeof(name) __libunwind##name __attribute__ ((alias (#name))) diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde-compat.c b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde-compat.c new file mode 100644 index 0000000000..baaf1f3fc7 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde-compat.c @@ -0,0 +1,42 @@ +/* Backward compatibility unwind routines. + Copyright (C) 2004-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#if defined (USE_GAS_SYMVER) && defined (USE_LIBUNWIND_EXCEPTIONS) +#include "tconfig.h" +#include "tsystem.h" +#include "unwind.h" +#include "unwind-dw2-fde.h" +#include "unwind-compat.h" + +extern const fde * __libunwind__Unwind_Find_FDE + (void *, struct dwarf_eh_bases *); + +const fde * +_Unwind_Find_FDE (void *pc, struct dwarf_eh_bases *bases) +{ + __libunwind__Unwind_Find_FDE (pc, bases); +} + +symver (_Unwind_Find_FDE, GCC_3.0); +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde-dip.c b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde-dip.c new file mode 100644 index 0000000000..e1e566b5d5 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde-dip.c @@ -0,0 +1,479 @@ +/* Copyright (C) 2001-2015 Free Software Foundation, Inc. + Contributed by Jakub Jelinek . + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +/* Locate the FDE entry for a given address, using PT_GNU_EH_FRAME ELF + segment and dl_iterate_phdr to avoid register/deregister calls at + DSO load/unload. */ + +#ifndef _GNU_SOURCE +#define _GNU_SOURCE 1 +#endif + +#include "tconfig.h" +#include "tsystem.h" +#if !defined(inhibit_libc) && !defined(__OpenBSD__) +#include /* Get DT_CONFIG. */ +#endif +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "dwarf2.h" +#include "unwind.h" +#define NO_BASE_OF_ENCODED_VALUE +#include "unwind-pe.h" +#include "unwind-dw2-fde.h" +#include "unwind-compat.h" +#include "gthr.h" + +#if !defined(inhibit_libc) && defined(HAVE_LD_EH_FRAME_HDR) \ + && (__GLIBC__ > 2 || (__GLIBC__ == 2 && __GLIBC_MINOR__ > 2) \ + || (__GLIBC__ == 2 && __GLIBC_MINOR__ == 2 && defined(DT_CONFIG))) +# define USE_PT_GNU_EH_FRAME +#endif + +#if !defined(inhibit_libc) && defined(HAVE_LD_EH_FRAME_HDR) \ + && defined(__BIONIC__) +# define USE_PT_GNU_EH_FRAME +#endif + +#if !defined(inhibit_libc) && defined(HAVE_LD_EH_FRAME_HDR) \ + && defined(TARGET_DL_ITERATE_PHDR) \ + && (defined(__DragonFly__) || defined(__FreeBSD__)) +# define ElfW __ElfN +# define USE_PT_GNU_EH_FRAME +#endif + +#if !defined(inhibit_libc) && defined(HAVE_LD_EH_FRAME_HDR) \ + && defined(__OpenBSD__) +# define ElfW(type) Elf_##type +# define USE_PT_GNU_EH_FRAME +#endif + +#if !defined(inhibit_libc) && defined(HAVE_LD_EH_FRAME_HDR) \ + && defined(TARGET_DL_ITERATE_PHDR) \ + && defined(__sun__) && defined(__svr4__) +# define USE_PT_GNU_EH_FRAME +#endif + +#if defined(USE_PT_GNU_EH_FRAME) + +#include + +#ifndef __RELOC_POINTER +# define __RELOC_POINTER(ptr, base) ((ptr) + (base)) +#endif + +static const fde * _Unwind_Find_registered_FDE (void *pc, struct dwarf_eh_bases *bases); + +#define _Unwind_Find_FDE _Unwind_Find_registered_FDE +#include "unwind-dw2-fde.c" +#undef _Unwind_Find_FDE + +#ifndef PT_GNU_EH_FRAME +#define PT_GNU_EH_FRAME (PT_LOOS + 0x474e550) +#endif + +struct unw_eh_callback_data +{ + _Unwind_Ptr pc; + void *tbase; + void *dbase; + void *func; + const fde *ret; + int check_cache; +}; + +struct unw_eh_frame_hdr +{ + unsigned char version; + unsigned char eh_frame_ptr_enc; + unsigned char fde_count_enc; + unsigned char table_enc; +}; + +#define FRAME_HDR_CACHE_SIZE 8 + +static struct frame_hdr_cache_element +{ + _Unwind_Ptr pc_low; + _Unwind_Ptr pc_high; + _Unwind_Ptr load_base; + const ElfW(Phdr) *p_eh_frame_hdr; + const ElfW(Phdr) *p_dynamic; + struct frame_hdr_cache_element *link; +} frame_hdr_cache[FRAME_HDR_CACHE_SIZE]; + +static struct frame_hdr_cache_element *frame_hdr_cache_head; + +/* Like base_of_encoded_value, but take the base from a struct + unw_eh_callback_data instead of an _Unwind_Context. */ + +static _Unwind_Ptr +base_from_cb_data (unsigned char encoding, struct unw_eh_callback_data *data) +{ + if (encoding == DW_EH_PE_omit) + return 0; + + switch (encoding & 0x70) + { + case DW_EH_PE_absptr: + case DW_EH_PE_pcrel: + case DW_EH_PE_aligned: + return 0; + + case DW_EH_PE_textrel: + return (_Unwind_Ptr) data->tbase; + case DW_EH_PE_datarel: + return (_Unwind_Ptr) data->dbase; + default: + gcc_unreachable (); + } +} + +static int +_Unwind_IteratePhdrCallback (struct dl_phdr_info *info, size_t size, void *ptr) +{ + struct unw_eh_callback_data *data = (struct unw_eh_callback_data *) ptr; + const ElfW(Phdr) *phdr, *p_eh_frame_hdr, *p_dynamic; + long n, match; +#ifdef __FRV_FDPIC__ + struct elf32_fdpic_loadaddr load_base; +#else + _Unwind_Ptr load_base; +#endif + const unsigned char *p; + const struct unw_eh_frame_hdr *hdr; + _Unwind_Ptr eh_frame; + struct object ob; + _Unwind_Ptr pc_low = 0, pc_high = 0; + + struct ext_dl_phdr_info + { + ElfW(Addr) dlpi_addr; + const char *dlpi_name; + const ElfW(Phdr) *dlpi_phdr; + ElfW(Half) dlpi_phnum; + unsigned long long int dlpi_adds; + unsigned long long int dlpi_subs; + }; + + match = 0; + phdr = info->dlpi_phdr; + load_base = info->dlpi_addr; + p_eh_frame_hdr = NULL; + p_dynamic = NULL; + + struct frame_hdr_cache_element *prev_cache_entry = NULL, + *last_cache_entry = NULL; + + if (data->check_cache && size >= sizeof (struct ext_dl_phdr_info)) + { + static unsigned long long adds = -1ULL, subs; + struct ext_dl_phdr_info *einfo = (struct ext_dl_phdr_info *) info; + + /* We use a least recently used cache replacement policy. Also, + the most recently used cache entries are placed at the head + of the search chain. */ + + if (einfo->dlpi_adds == adds && einfo->dlpi_subs == subs) + { + /* Find data->pc in shared library cache. + Set load_base, p_eh_frame_hdr and p_dynamic + plus match from the cache and goto + "Read .eh_frame_hdr header." below. */ + + struct frame_hdr_cache_element *cache_entry; + + for (cache_entry = frame_hdr_cache_head; + cache_entry; + cache_entry = cache_entry->link) + { + if (data->pc >= cache_entry->pc_low + && data->pc < cache_entry->pc_high) + { + load_base = cache_entry->load_base; + p_eh_frame_hdr = cache_entry->p_eh_frame_hdr; + p_dynamic = cache_entry->p_dynamic; + + /* And move the entry we're using to the head. */ + if (cache_entry != frame_hdr_cache_head) + { + prev_cache_entry->link = cache_entry->link; + cache_entry->link = frame_hdr_cache_head; + frame_hdr_cache_head = cache_entry; + } + goto found; + } + + last_cache_entry = cache_entry; + /* Exit early if we found an unused entry. */ + if ((cache_entry->pc_low | cache_entry->pc_high) == 0) + break; + if (cache_entry->link != NULL) + prev_cache_entry = cache_entry; + } + } + else + { + adds = einfo->dlpi_adds; + subs = einfo->dlpi_subs; + /* Initialize the cache. Create a chain of cache entries, + with the final one terminated by a NULL link. */ + int i; + for (i = 0; i < FRAME_HDR_CACHE_SIZE; i++) + { + frame_hdr_cache[i].pc_low = 0; + frame_hdr_cache[i].pc_high = 0; + frame_hdr_cache[i].link = &frame_hdr_cache[i+1]; + } + frame_hdr_cache[i-1].link = NULL; + frame_hdr_cache_head = &frame_hdr_cache[0]; + data->check_cache = 0; + } + } + + /* Make sure struct dl_phdr_info is at least as big as we need. */ + if (size < offsetof (struct dl_phdr_info, dlpi_phnum) + + sizeof (info->dlpi_phnum)) + return -1; + + /* See if PC falls into one of the loaded segments. Find the eh_frame + segment at the same time. */ + for (n = info->dlpi_phnum; --n >= 0; phdr++) + { + if (phdr->p_type == PT_LOAD) + { + _Unwind_Ptr vaddr = (_Unwind_Ptr) + __RELOC_POINTER (phdr->p_vaddr, load_base); + if (data->pc >= vaddr && data->pc < vaddr + phdr->p_memsz) + { + match = 1; + pc_low = vaddr; + pc_high = vaddr + phdr->p_memsz; + } + } + else if (phdr->p_type == PT_GNU_EH_FRAME) + p_eh_frame_hdr = phdr; +#ifdef PT_SUNW_UNWIND + /* Sun ld emits PT_SUNW_UNWIND .eh_frame_hdr sections instead of + PT_SUNW_EH_FRAME/PT_GNU_EH_FRAME, so accept them as well. */ + else if (phdr->p_type == PT_SUNW_UNWIND) + p_eh_frame_hdr = phdr; +#endif + else if (phdr->p_type == PT_DYNAMIC) + p_dynamic = phdr; + } + + if (!match) + return 0; + + if (size >= sizeof (struct ext_dl_phdr_info)) + { + /* Move the cache entry we're about to overwrite to the head of + the list. If either last_cache_entry or prev_cache_entry are + NULL, that cache entry is already at the head. */ + if (last_cache_entry != NULL && prev_cache_entry != NULL) + { + prev_cache_entry->link = last_cache_entry->link; + last_cache_entry->link = frame_hdr_cache_head; + frame_hdr_cache_head = last_cache_entry; + } + + frame_hdr_cache_head->load_base = load_base; + frame_hdr_cache_head->p_eh_frame_hdr = p_eh_frame_hdr; + frame_hdr_cache_head->p_dynamic = p_dynamic; + frame_hdr_cache_head->pc_low = pc_low; + frame_hdr_cache_head->pc_high = pc_high; + } + + found: + + if (!p_eh_frame_hdr) + return 0; + + /* Read .eh_frame_hdr header. */ + hdr = (const struct unw_eh_frame_hdr *) + __RELOC_POINTER (p_eh_frame_hdr->p_vaddr, load_base); + if (hdr->version != 1) + return 1; + +#ifdef CRT_GET_RFIB_DATA +# ifdef __i386__ + data->dbase = NULL; + if (p_dynamic) + { + /* For dynamically linked executables and shared libraries, + DT_PLTGOT is the gp value for that object. */ + ElfW(Dyn) *dyn = (ElfW(Dyn) *) + __RELOC_POINTER (p_dynamic->p_vaddr, load_base); + for (; dyn->d_tag != DT_NULL ; dyn++) + if (dyn->d_tag == DT_PLTGOT) + { + data->dbase = (void *) dyn->d_un.d_ptr; +#if defined __linux__ + /* On IA-32 Linux, _DYNAMIC is writable and GLIBC has + relocated it. */ +#elif defined __sun__ && defined __svr4__ + /* On Solaris 2/x86, we need to do this ourselves. */ + data->dbase += load_base; +#endif + break; + } + } +# elif defined __FRV_FDPIC__ && defined __linux__ + data->dbase = load_base.got_value; +# else +# error What is DW_EH_PE_datarel base on this platform? +# endif +#endif + + p = read_encoded_value_with_base (hdr->eh_frame_ptr_enc, + base_from_cb_data (hdr->eh_frame_ptr_enc, + data), + (const unsigned char *) (hdr + 1), + &eh_frame); + + /* We require here specific table encoding to speed things up. + Also, DW_EH_PE_datarel here means using PT_GNU_EH_FRAME start + as base, not the processor specific DW_EH_PE_datarel. */ + if (hdr->fde_count_enc != DW_EH_PE_omit + && hdr->table_enc == (DW_EH_PE_datarel | DW_EH_PE_sdata4)) + { + _Unwind_Ptr fde_count; + + p = read_encoded_value_with_base (hdr->fde_count_enc, + base_from_cb_data (hdr->fde_count_enc, + data), + p, &fde_count); + /* Shouldn't happen. */ + if (fde_count == 0) + return 1; + if ((((_Unwind_Ptr) p) & 3) == 0) + { + struct fde_table { + signed initial_loc __attribute__ ((mode (SI))); + signed fde __attribute__ ((mode (SI))); + }; + const struct fde_table *table = (const struct fde_table *) p; + size_t lo, hi, mid; + _Unwind_Ptr data_base = (_Unwind_Ptr) hdr; + fde *f; + unsigned int f_enc, f_enc_size; + _Unwind_Ptr range; + + mid = fde_count - 1; + if (data->pc < table[0].initial_loc + data_base) + return 1; + else if (data->pc < table[mid].initial_loc + data_base) + { + lo = 0; + hi = mid; + + while (lo < hi) + { + mid = (lo + hi) / 2; + if (data->pc < table[mid].initial_loc + data_base) + hi = mid; + else if (data->pc >= table[mid + 1].initial_loc + data_base) + lo = mid + 1; + else + break; + } + + gcc_assert (lo < hi); + } + + f = (fde *) (table[mid].fde + data_base); + f_enc = get_fde_encoding (f); + f_enc_size = size_of_encoded_value (f_enc); + read_encoded_value_with_base (f_enc & 0x0f, 0, + &f->pc_begin[f_enc_size], &range); + if (data->pc < table[mid].initial_loc + data_base + range) + data->ret = f; + data->func = (void *) (table[mid].initial_loc + data_base); + return 1; + } + } + + /* We have no sorted search table, so need to go the slow way. + As soon as GLIBC will provide API so to notify that a library has been + removed, we could cache this (and thus use search_object). */ + ob.pc_begin = NULL; + ob.tbase = data->tbase; + ob.dbase = data->dbase; + ob.u.single = (fde *) eh_frame; + ob.s.i = 0; + ob.s.b.mixed_encoding = 1; /* Need to assume worst case. */ + data->ret = linear_search_fdes (&ob, (fde *) eh_frame, (void *) data->pc); + if (data->ret != NULL) + { + _Unwind_Ptr func; + unsigned int encoding = get_fde_encoding (data->ret); + + read_encoded_value_with_base (encoding, + base_from_cb_data (encoding, data), + data->ret->pc_begin, &func); + data->func = (void *) func; + } + return 1; +} + +const fde * +_Unwind_Find_FDE (void *pc, struct dwarf_eh_bases *bases) +{ + struct unw_eh_callback_data data; + const fde *ret; + + ret = _Unwind_Find_registered_FDE (pc, bases); + if (ret != NULL) + return ret; + + data.pc = (_Unwind_Ptr) pc; + data.tbase = NULL; + data.dbase = NULL; + data.func = NULL; + data.ret = NULL; + data.check_cache = 1; + + if (dl_iterate_phdr (_Unwind_IteratePhdrCallback, &data) < 0) + return NULL; + + if (data.ret) + { + bases->tbase = data.tbase; + bases->dbase = data.dbase; + bases->func = data.func; + } + return data.ret; +} + +#else +/* Prevent multiple include of header files. */ +#define _Unwind_Find_FDE _Unwind_Find_FDE +#include "unwind-dw2-fde.c" +#endif + +#if defined (USE_GAS_SYMVER) && defined (SHARED) && defined (USE_LIBUNWIND_EXCEPTIONS) +alias (_Unwind_Find_FDE); +#endif diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde.c b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde.c new file mode 100644 index 0000000000..0bcf51661b --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde.c @@ -0,0 +1,1058 @@ +/* Subroutines needed for unwinding stack frames for exception handling. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + Contributed by Jason Merrill . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef _Unwind_Find_FDE +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "dwarf2.h" +#include "unwind.h" +#define NO_BASE_OF_ENCODED_VALUE +#include "unwind-pe.h" +#include "unwind-dw2-fde.h" +#include "gthr.h" +#endif + +/* The unseen_objects list contains objects that have been registered + but not yet categorized in any way. The seen_objects list has had + its pc_begin and count fields initialized at minimum, and is sorted + by decreasing value of pc_begin. */ +static struct object *unseen_objects; +static struct object *seen_objects; + +#ifdef __GTHREAD_MUTEX_INIT +static __gthread_mutex_t object_mutex = __GTHREAD_MUTEX_INIT; +#define init_object_mutex_once() +#else +#ifdef __GTHREAD_MUTEX_INIT_FUNCTION +static __gthread_mutex_t object_mutex; + +static void +init_object_mutex (void) +{ + __GTHREAD_MUTEX_INIT_FUNCTION (&object_mutex); +} + +static void +init_object_mutex_once (void) +{ + static __gthread_once_t once = __GTHREAD_ONCE_INIT; + __gthread_once (&once, init_object_mutex); +} +#else +/* ??? Several targets include this file with stubbing parts of gthr.h + and expect no locking to be done. */ +#define init_object_mutex_once() +static __gthread_mutex_t object_mutex; +#endif +#endif + +/* Called from crtbegin.o to register the unwind info for an object. */ + +void +__register_frame_info_bases (const void *begin, struct object *ob, + void *tbase, void *dbase) +{ + /* If .eh_frame is empty, don't register at all. */ + if ((const uword *) begin == 0 || *(const uword *) begin == 0) + return; + + ob->pc_begin = (void *)-1; + ob->tbase = tbase; + ob->dbase = dbase; + ob->u.single = begin; + ob->s.i = 0; + ob->s.b.encoding = DW_EH_PE_omit; +#ifdef DWARF2_OBJECT_END_PTR_EXTENSION + ob->fde_end = NULL; +#endif + + init_object_mutex_once (); + __gthread_mutex_lock (&object_mutex); + + ob->next = unseen_objects; + unseen_objects = ob; + + __gthread_mutex_unlock (&object_mutex); +} + +void +__register_frame_info (const void *begin, struct object *ob) +{ + __register_frame_info_bases (begin, ob, 0, 0); +} + +void +__register_frame (void *begin) +{ + struct object *ob; + + /* If .eh_frame is empty, don't register at all. */ + if (*(uword *) begin == 0) + return; + + ob = malloc (sizeof (struct object)); + __register_frame_info (begin, ob); +} + +/* Similar, but BEGIN is actually a pointer to a table of unwind entries + for different translation units. Called from the file generated by + collect2. */ + +void +__register_frame_info_table_bases (void *begin, struct object *ob, + void *tbase, void *dbase) +{ + ob->pc_begin = (void *)-1; + ob->tbase = tbase; + ob->dbase = dbase; + ob->u.array = begin; + ob->s.i = 0; + ob->s.b.from_array = 1; + ob->s.b.encoding = DW_EH_PE_omit; + + init_object_mutex_once (); + __gthread_mutex_lock (&object_mutex); + + ob->next = unseen_objects; + unseen_objects = ob; + + __gthread_mutex_unlock (&object_mutex); +} + +void +__register_frame_info_table (void *begin, struct object *ob) +{ + __register_frame_info_table_bases (begin, ob, 0, 0); +} + +void +__register_frame_table (void *begin) +{ + struct object *ob = malloc (sizeof (struct object)); + __register_frame_info_table (begin, ob); +} + +/* Called from crtbegin.o to deregister the unwind info for an object. */ +/* ??? Glibc has for a while now exported __register_frame_info and + __deregister_frame_info. If we call __register_frame_info_bases + from crtbegin (wherein it is declared weak), and this object does + not get pulled from libgcc.a for other reasons, then the + invocation of __deregister_frame_info will be resolved from glibc. + Since the registration did not happen there, we'll die. + + Therefore, declare a new deregistration entry point that does the + exact same thing, but will resolve to the same library as + implements __register_frame_info_bases. */ + +void * +__deregister_frame_info_bases (const void *begin) +{ + struct object **p; + struct object *ob = 0; + + /* If .eh_frame is empty, we haven't registered. */ + if ((const uword *) begin == 0 || *(const uword *) begin == 0) + return ob; + + init_object_mutex_once (); + __gthread_mutex_lock (&object_mutex); + + for (p = &unseen_objects; *p ; p = &(*p)->next) + if ((*p)->u.single == begin) + { + ob = *p; + *p = ob->next; + goto out; + } + + for (p = &seen_objects; *p ; p = &(*p)->next) + if ((*p)->s.b.sorted) + { + if ((*p)->u.sort->orig_data == begin) + { + ob = *p; + *p = ob->next; + free (ob->u.sort); + goto out; + } + } + else + { + if ((*p)->u.single == begin) + { + ob = *p; + *p = ob->next; + goto out; + } + } + + out: + __gthread_mutex_unlock (&object_mutex); + gcc_assert (ob); + return (void *) ob; +} + +void * +__deregister_frame_info (const void *begin) +{ + return __deregister_frame_info_bases (begin); +} + +void +__deregister_frame (void *begin) +{ + /* If .eh_frame is empty, we haven't registered. */ + if (*(uword *) begin != 0) + free (__deregister_frame_info (begin)); +} + + +/* Like base_of_encoded_value, but take the base from a struct object + instead of an _Unwind_Context. */ + +static _Unwind_Ptr +base_from_object (unsigned char encoding, struct object *ob) +{ + if (encoding == DW_EH_PE_omit) + return 0; + + switch (encoding & 0x70) + { + case DW_EH_PE_absptr: + case DW_EH_PE_pcrel: + case DW_EH_PE_aligned: + return 0; + + case DW_EH_PE_textrel: + return (_Unwind_Ptr) ob->tbase; + case DW_EH_PE_datarel: + return (_Unwind_Ptr) ob->dbase; + default: + gcc_unreachable (); + } +} + +/* Return the FDE pointer encoding from the CIE. */ +/* ??? This is a subset of extract_cie_info from unwind-dw2.c. */ + +static int +get_cie_encoding (const struct dwarf_cie *cie) +{ + const unsigned char *aug, *p; + _Unwind_Ptr dummy; + _uleb128_t utmp; + _sleb128_t stmp; + + aug = cie->augmentation; + p = aug + strlen ((const char *)aug) + 1; /* Skip the augmentation string. */ + if (__builtin_expect (cie->version >= 4, 0)) + { + if (p[0] != sizeof (void *) || p[1] != 0) + return DW_EH_PE_omit; /* We are not prepared to handle unexpected + address sizes or segment selectors. */ + p += 2; /* Skip address size and segment size. */ + } + + if (aug[0] != 'z') + return DW_EH_PE_absptr; + + p = read_uleb128 (p, &utmp); /* Skip code alignment. */ + p = read_sleb128 (p, &stmp); /* Skip data alignment. */ + if (cie->version == 1) /* Skip return address column. */ + p++; + else + p = read_uleb128 (p, &utmp); + + aug++; /* Skip 'z' */ + p = read_uleb128 (p, &utmp); /* Skip augmentation length. */ + while (1) + { + /* This is what we're looking for. */ + if (*aug == 'R') + return *p; + /* Personality encoding and pointer. */ + else if (*aug == 'P') + { + /* ??? Avoid dereferencing indirect pointers, since we're + faking the base address. Gotta keep DW_EH_PE_aligned + intact, however. */ + p = read_encoded_value_with_base (*p & 0x7F, 0, p + 1, &dummy); + } + /* LSDA encoding. */ + else if (*aug == 'L') + p++; + /* Otherwise end of string, or unknown augmentation. */ + else + return DW_EH_PE_absptr; + aug++; + } +} + +static inline int +get_fde_encoding (const struct dwarf_fde *f) +{ + return get_cie_encoding (get_cie (f)); +} + + +/* Sorting an array of FDEs by address. + (Ideally we would have the linker sort the FDEs so we don't have to do + it at run time. But the linkers are not yet prepared for this.) */ + +/* Comparison routines. Three variants of increasing complexity. */ + +static int +fde_unencoded_compare (struct object *ob __attribute__((unused)), + const fde *x, const fde *y) +{ + _Unwind_Ptr x_ptr, y_ptr; + memcpy (&x_ptr, x->pc_begin, sizeof (_Unwind_Ptr)); + memcpy (&y_ptr, y->pc_begin, sizeof (_Unwind_Ptr)); + + if (x_ptr > y_ptr) + return 1; + if (x_ptr < y_ptr) + return -1; + return 0; +} + +static int +fde_single_encoding_compare (struct object *ob, const fde *x, const fde *y) +{ + _Unwind_Ptr base, x_ptr, y_ptr; + + base = base_from_object (ob->s.b.encoding, ob); + read_encoded_value_with_base (ob->s.b.encoding, base, x->pc_begin, &x_ptr); + read_encoded_value_with_base (ob->s.b.encoding, base, y->pc_begin, &y_ptr); + + if (x_ptr > y_ptr) + return 1; + if (x_ptr < y_ptr) + return -1; + return 0; +} + +static int +fde_mixed_encoding_compare (struct object *ob, const fde *x, const fde *y) +{ + int x_encoding, y_encoding; + _Unwind_Ptr x_ptr, y_ptr; + + x_encoding = get_fde_encoding (x); + read_encoded_value_with_base (x_encoding, base_from_object (x_encoding, ob), + x->pc_begin, &x_ptr); + + y_encoding = get_fde_encoding (y); + read_encoded_value_with_base (y_encoding, base_from_object (y_encoding, ob), + y->pc_begin, &y_ptr); + + if (x_ptr > y_ptr) + return 1; + if (x_ptr < y_ptr) + return -1; + return 0; +} + +typedef int (*fde_compare_t) (struct object *, const fde *, const fde *); + + +/* This is a special mix of insertion sort and heap sort, optimized for + the data sets that actually occur. They look like + 101 102 103 127 128 105 108 110 190 111 115 119 125 160 126 129 130. + I.e. a linearly increasing sequence (coming from functions in the text + section), with additionally a few unordered elements (coming from functions + in gnu_linkonce sections) whose values are higher than the values in the + surrounding linear sequence (but not necessarily higher than the values + at the end of the linear sequence!). + The worst-case total run time is O(N) + O(n log (n)), where N is the + total number of FDEs and n is the number of erratic ones. */ + +struct fde_accumulator +{ + struct fde_vector *linear; + struct fde_vector *erratic; +}; + +static inline int +start_fde_sort (struct fde_accumulator *accu, size_t count) +{ + size_t size; + if (! count) + return 0; + + size = sizeof (struct fde_vector) + sizeof (const fde *) * count; + if ((accu->linear = malloc (size))) + { + accu->linear->count = 0; + if ((accu->erratic = malloc (size))) + accu->erratic->count = 0; + return 1; + } + else + return 0; +} + +static inline void +fde_insert (struct fde_accumulator *accu, const fde *this_fde) +{ + if (accu->linear) + accu->linear->array[accu->linear->count++] = this_fde; +} + +/* Split LINEAR into a linear sequence with low values and an erratic + sequence with high values, put the linear one (of longest possible + length) into LINEAR and the erratic one into ERRATIC. This is O(N). + + Because the longest linear sequence we are trying to locate within the + incoming LINEAR array can be interspersed with (high valued) erratic + entries. We construct a chain indicating the sequenced entries. + To avoid having to allocate this chain, we overlay it onto the space of + the ERRATIC array during construction. A final pass iterates over the + chain to determine what should be placed in the ERRATIC array, and + what is the linear sequence. This overlay is safe from aliasing. */ + +static inline void +fde_split (struct object *ob, fde_compare_t fde_compare, + struct fde_vector *linear, struct fde_vector *erratic) +{ + static const fde *marker; + size_t count = linear->count; + const fde *const *chain_end = ▮ + size_t i, j, k; + + /* This should optimize out, but it is wise to make sure this assumption + is correct. Should these have different sizes, we cannot cast between + them and the overlaying onto ERRATIC will not work. */ + gcc_assert (sizeof (const fde *) == sizeof (const fde **)); + + for (i = 0; i < count; i++) + { + const fde *const *probe; + + for (probe = chain_end; + probe != &marker && fde_compare (ob, linear->array[i], *probe) < 0; + probe = chain_end) + { + chain_end = (const fde *const*) erratic->array[probe - linear->array]; + erratic->array[probe - linear->array] = NULL; + } + erratic->array[i] = (const fde *) chain_end; + chain_end = &linear->array[i]; + } + + /* Each entry in LINEAR which is part of the linear sequence we have + discovered will correspond to a non-NULL entry in the chain we built in + the ERRATIC array. */ + for (i = j = k = 0; i < count; i++) + if (erratic->array[i]) + linear->array[j++] = linear->array[i]; + else + erratic->array[k++] = linear->array[i]; + linear->count = j; + erratic->count = k; +} + +#define SWAP(x,y) do { const fde * tmp = x; x = y; y = tmp; } while (0) + +/* Convert a semi-heap to a heap. A semi-heap is a heap except possibly + for the first (root) node; push it down to its rightful place. */ + +static void +frame_downheap (struct object *ob, fde_compare_t fde_compare, const fde **a, + int lo, int hi) +{ + int i, j; + + for (i = lo, j = 2*i+1; + j < hi; + j = 2*i+1) + { + if (j+1 < hi && fde_compare (ob, a[j], a[j+1]) < 0) + ++j; + + if (fde_compare (ob, a[i], a[j]) < 0) + { + SWAP (a[i], a[j]); + i = j; + } + else + break; + } +} + +/* This is O(n log(n)). BSD/OS defines heapsort in stdlib.h, so we must + use a name that does not conflict. */ + +static void +frame_heapsort (struct object *ob, fde_compare_t fde_compare, + struct fde_vector *erratic) +{ + /* For a description of this algorithm, see: + Samuel P. Harbison, Guy L. Steele Jr.: C, a reference manual, 2nd ed., + p. 60-61. */ + const fde ** a = erratic->array; + /* A portion of the array is called a "heap" if for all i>=0: + If i and 2i+1 are valid indices, then a[i] >= a[2i+1]. + If i and 2i+2 are valid indices, then a[i] >= a[2i+2]. */ + size_t n = erratic->count; + int m; + + /* Expand our heap incrementally from the end of the array, heapifying + each resulting semi-heap as we go. After each step, a[m] is the top + of a heap. */ + for (m = n/2-1; m >= 0; --m) + frame_downheap (ob, fde_compare, a, m, n); + + /* Shrink our heap incrementally from the end of the array, first + swapping out the largest element a[0] and then re-heapifying the + resulting semi-heap. After each step, a[0..m) is a heap. */ + for (m = n-1; m >= 1; --m) + { + SWAP (a[0], a[m]); + frame_downheap (ob, fde_compare, a, 0, m); + } +#undef SWAP +} + +/* Merge V1 and V2, both sorted, and put the result into V1. */ +static inline void +fde_merge (struct object *ob, fde_compare_t fde_compare, + struct fde_vector *v1, struct fde_vector *v2) +{ + size_t i1, i2; + const fde * fde2; + + i2 = v2->count; + if (i2 > 0) + { + i1 = v1->count; + do + { + i2--; + fde2 = v2->array[i2]; + while (i1 > 0 && fde_compare (ob, v1->array[i1-1], fde2) > 0) + { + v1->array[i1+i2] = v1->array[i1-1]; + i1--; + } + v1->array[i1+i2] = fde2; + } + while (i2 > 0); + v1->count += v2->count; + } +} + +static inline void +end_fde_sort (struct object *ob, struct fde_accumulator *accu, size_t count) +{ + fde_compare_t fde_compare; + + gcc_assert (!accu->linear || accu->linear->count == count); + + if (ob->s.b.mixed_encoding) + fde_compare = fde_mixed_encoding_compare; + else if (ob->s.b.encoding == DW_EH_PE_absptr) + fde_compare = fde_unencoded_compare; + else + fde_compare = fde_single_encoding_compare; + + if (accu->erratic) + { + fde_split (ob, fde_compare, accu->linear, accu->erratic); + gcc_assert (accu->linear->count + accu->erratic->count == count); + frame_heapsort (ob, fde_compare, accu->erratic); + fde_merge (ob, fde_compare, accu->linear, accu->erratic); + free (accu->erratic); + } + else + { + /* We've not managed to malloc an erratic array, + so heap sort in the linear one. */ + frame_heapsort (ob, fde_compare, accu->linear); + } +} + + +/* Update encoding, mixed_encoding, and pc_begin for OB for the + fde array beginning at THIS_FDE. Return the number of fdes + encountered along the way. */ + +static size_t +classify_object_over_fdes (struct object *ob, const fde *this_fde) +{ + const struct dwarf_cie *last_cie = 0; + size_t count = 0; + int encoding = DW_EH_PE_absptr; + _Unwind_Ptr base = 0; + + for (; ! last_fde (ob, this_fde); this_fde = next_fde (this_fde)) + { + const struct dwarf_cie *this_cie; + _Unwind_Ptr mask, pc_begin; + + /* Skip CIEs. */ + if (this_fde->CIE_delta == 0) + continue; + + /* Determine the encoding for this FDE. Note mixed encoded + objects for later. */ + this_cie = get_cie (this_fde); + if (this_cie != last_cie) + { + last_cie = this_cie; + encoding = get_cie_encoding (this_cie); + if (encoding == DW_EH_PE_omit) + return -1; + base = base_from_object (encoding, ob); + if (ob->s.b.encoding == DW_EH_PE_omit) + ob->s.b.encoding = encoding; + else if (ob->s.b.encoding != encoding) + ob->s.b.mixed_encoding = 1; + } + + read_encoded_value_with_base (encoding, base, this_fde->pc_begin, + &pc_begin); + + /* Take care to ignore link-once functions that were removed. + In these cases, the function address will be NULL, but if + the encoding is smaller than a pointer a true NULL may not + be representable. Assume 0 in the representable bits is NULL. */ + mask = size_of_encoded_value (encoding); + if (mask < sizeof (void *)) + mask = (((_Unwind_Ptr) 1) << (mask << 3)) - 1; + else + mask = -1; + + if ((pc_begin & mask) == 0) + continue; + + count += 1; + if ((void *) pc_begin < ob->pc_begin) + ob->pc_begin = (void *) pc_begin; + } + + return count; +} + +static void +add_fdes (struct object *ob, struct fde_accumulator *accu, const fde *this_fde) +{ + const struct dwarf_cie *last_cie = 0; + int encoding = ob->s.b.encoding; + _Unwind_Ptr base = base_from_object (ob->s.b.encoding, ob); + + for (; ! last_fde (ob, this_fde); this_fde = next_fde (this_fde)) + { + const struct dwarf_cie *this_cie; + + /* Skip CIEs. */ + if (this_fde->CIE_delta == 0) + continue; + + if (ob->s.b.mixed_encoding) + { + /* Determine the encoding for this FDE. Note mixed encoded + objects for later. */ + this_cie = get_cie (this_fde); + if (this_cie != last_cie) + { + last_cie = this_cie; + encoding = get_cie_encoding (this_cie); + base = base_from_object (encoding, ob); + } + } + + if (encoding == DW_EH_PE_absptr) + { + _Unwind_Ptr ptr; + memcpy (&ptr, this_fde->pc_begin, sizeof (_Unwind_Ptr)); + if (ptr == 0) + continue; + } + else + { + _Unwind_Ptr pc_begin, mask; + + read_encoded_value_with_base (encoding, base, this_fde->pc_begin, + &pc_begin); + + /* Take care to ignore link-once functions that were removed. + In these cases, the function address will be NULL, but if + the encoding is smaller than a pointer a true NULL may not + be representable. Assume 0 in the representable bits is NULL. */ + mask = size_of_encoded_value (encoding); + if (mask < sizeof (void *)) + mask = (((_Unwind_Ptr) 1) << (mask << 3)) - 1; + else + mask = -1; + + if ((pc_begin & mask) == 0) + continue; + } + + fde_insert (accu, this_fde); + } +} + +/* Set up a sorted array of pointers to FDEs for a loaded object. We + count up the entries before allocating the array because it's likely to + be faster. We can be called multiple times, should we have failed to + allocate a sorted fde array on a previous occasion. */ + +static inline void +init_object (struct object* ob) +{ + struct fde_accumulator accu; + size_t count; + + count = ob->s.b.count; + if (count == 0) + { + if (ob->s.b.from_array) + { + fde **p = ob->u.array; + for (count = 0; *p; ++p) + { + size_t cur_count = classify_object_over_fdes (ob, *p); + if (cur_count == (size_t) -1) + goto unhandled_fdes; + count += cur_count; + } + } + else + { + count = classify_object_over_fdes (ob, ob->u.single); + if (count == (size_t) -1) + { + static const fde terminator; + unhandled_fdes: + ob->s.i = 0; + ob->s.b.encoding = DW_EH_PE_omit; + ob->u.single = &terminator; + return; + } + } + + /* The count field we have in the main struct object is somewhat + limited, but should suffice for virtually all cases. If the + counted value doesn't fit, re-write a zero. The worst that + happens is that we re-count next time -- admittedly non-trivial + in that this implies some 2M fdes, but at least we function. */ + ob->s.b.count = count; + if (ob->s.b.count != count) + ob->s.b.count = 0; + } + + if (!start_fde_sort (&accu, count)) + return; + + if (ob->s.b.from_array) + { + fde **p; + for (p = ob->u.array; *p; ++p) + add_fdes (ob, &accu, *p); + } + else + add_fdes (ob, &accu, ob->u.single); + + end_fde_sort (ob, &accu, count); + + /* Save the original fde pointer, since this is the key by which the + DSO will deregister the object. */ + accu.linear->orig_data = ob->u.single; + ob->u.sort = accu.linear; + + ob->s.b.sorted = 1; +} + +/* A linear search through a set of FDEs for the given PC. This is + used when there was insufficient memory to allocate and sort an + array. */ + +static const fde * +linear_search_fdes (struct object *ob, const fde *this_fde, void *pc) +{ + const struct dwarf_cie *last_cie = 0; + int encoding = ob->s.b.encoding; + _Unwind_Ptr base = base_from_object (ob->s.b.encoding, ob); + + for (; ! last_fde (ob, this_fde); this_fde = next_fde (this_fde)) + { + const struct dwarf_cie *this_cie; + _Unwind_Ptr pc_begin, pc_range; + + /* Skip CIEs. */ + if (this_fde->CIE_delta == 0) + continue; + + if (ob->s.b.mixed_encoding) + { + /* Determine the encoding for this FDE. Note mixed encoded + objects for later. */ + this_cie = get_cie (this_fde); + if (this_cie != last_cie) + { + last_cie = this_cie; + encoding = get_cie_encoding (this_cie); + base = base_from_object (encoding, ob); + } + } + + if (encoding == DW_EH_PE_absptr) + { + const _Unwind_Ptr *pc_array = (const _Unwind_Ptr *) this_fde->pc_begin; + pc_begin = pc_array[0]; + pc_range = pc_array[1]; + if (pc_begin == 0) + continue; + } + else + { + _Unwind_Ptr mask; + const unsigned char *p; + + p = read_encoded_value_with_base (encoding, base, + this_fde->pc_begin, &pc_begin); + read_encoded_value_with_base (encoding & 0x0F, 0, p, &pc_range); + + /* Take care to ignore link-once functions that were removed. + In these cases, the function address will be NULL, but if + the encoding is smaller than a pointer a true NULL may not + be representable. Assume 0 in the representable bits is NULL. */ + mask = size_of_encoded_value (encoding); + if (mask < sizeof (void *)) + mask = (((_Unwind_Ptr) 1) << (mask << 3)) - 1; + else + mask = -1; + + if ((pc_begin & mask) == 0) + continue; + } + + if ((_Unwind_Ptr) pc - pc_begin < pc_range) + return this_fde; + } + + return NULL; +} + +/* Binary search for an FDE containing the given PC. Here are three + implementations of increasing complexity. */ + +static inline const fde * +binary_search_unencoded_fdes (struct object *ob, void *pc) +{ + struct fde_vector *vec = ob->u.sort; + size_t lo, hi; + + for (lo = 0, hi = vec->count; lo < hi; ) + { + size_t i = (lo + hi) / 2; + const fde *const f = vec->array[i]; + void *pc_begin; + uaddr pc_range; + memcpy (&pc_begin, (const void * const *) f->pc_begin, sizeof (void *)); + memcpy (&pc_range, (const uaddr *) f->pc_begin + 1, sizeof (uaddr)); + + if (pc < pc_begin) + hi = i; + else if (pc >= pc_begin + pc_range) + lo = i + 1; + else + return f; + } + + return NULL; +} + +static inline const fde * +binary_search_single_encoding_fdes (struct object *ob, void *pc) +{ + struct fde_vector *vec = ob->u.sort; + int encoding = ob->s.b.encoding; + _Unwind_Ptr base = base_from_object (encoding, ob); + size_t lo, hi; + + for (lo = 0, hi = vec->count; lo < hi; ) + { + size_t i = (lo + hi) / 2; + const fde *f = vec->array[i]; + _Unwind_Ptr pc_begin, pc_range; + const unsigned char *p; + + p = read_encoded_value_with_base (encoding, base, f->pc_begin, + &pc_begin); + read_encoded_value_with_base (encoding & 0x0F, 0, p, &pc_range); + + if ((_Unwind_Ptr) pc < pc_begin) + hi = i; + else if ((_Unwind_Ptr) pc >= pc_begin + pc_range) + lo = i + 1; + else + return f; + } + + return NULL; +} + +static inline const fde * +binary_search_mixed_encoding_fdes (struct object *ob, void *pc) +{ + struct fde_vector *vec = ob->u.sort; + size_t lo, hi; + + for (lo = 0, hi = vec->count; lo < hi; ) + { + size_t i = (lo + hi) / 2; + const fde *f = vec->array[i]; + _Unwind_Ptr pc_begin, pc_range; + const unsigned char *p; + int encoding; + + encoding = get_fde_encoding (f); + p = read_encoded_value_with_base (encoding, + base_from_object (encoding, ob), + f->pc_begin, &pc_begin); + read_encoded_value_with_base (encoding & 0x0F, 0, p, &pc_range); + + if ((_Unwind_Ptr) pc < pc_begin) + hi = i; + else if ((_Unwind_Ptr) pc >= pc_begin + pc_range) + lo = i + 1; + else + return f; + } + + return NULL; +} + +static const fde * +search_object (struct object* ob, void *pc) +{ + /* If the data hasn't been sorted, try to do this now. We may have + more memory available than last time we tried. */ + if (! ob->s.b.sorted) + { + init_object (ob); + + /* Despite the above comment, the normal reason to get here is + that we've not processed this object before. A quick range + check is in order. */ + if (pc < ob->pc_begin) + return NULL; + } + + if (ob->s.b.sorted) + { + if (ob->s.b.mixed_encoding) + return binary_search_mixed_encoding_fdes (ob, pc); + else if (ob->s.b.encoding == DW_EH_PE_absptr) + return binary_search_unencoded_fdes (ob, pc); + else + return binary_search_single_encoding_fdes (ob, pc); + } + else + { + /* Long slow laborious linear search, cos we've no memory. */ + if (ob->s.b.from_array) + { + fde **p; + for (p = ob->u.array; *p ; p++) + { + const fde *f = linear_search_fdes (ob, *p, pc); + if (f) + return f; + } + return NULL; + } + else + return linear_search_fdes (ob, ob->u.single, pc); + } +} + +const fde * +_Unwind_Find_FDE (void *pc, struct dwarf_eh_bases *bases) +{ + struct object *ob; + const fde *f = NULL; + + init_object_mutex_once (); + __gthread_mutex_lock (&object_mutex); + + /* Linear search through the classified objects, to find the one + containing the pc. Note that pc_begin is sorted descending, and + we expect objects to be non-overlapping. */ + for (ob = seen_objects; ob; ob = ob->next) + if (pc >= ob->pc_begin) + { + f = search_object (ob, pc); + if (f) + goto fini; + break; + } + + /* Classify and search the objects we've not yet processed. */ + while ((ob = unseen_objects)) + { + struct object **p; + + unseen_objects = ob->next; + f = search_object (ob, pc); + + /* Insert the object into the classified list. */ + for (p = &seen_objects; *p ; p = &(*p)->next) + if ((*p)->pc_begin < ob->pc_begin) + break; + ob->next = *p; + *p = ob; + + if (f) + goto fini; + } + + fini: + __gthread_mutex_unlock (&object_mutex); + + if (f) + { + int encoding; + _Unwind_Ptr func; + + bases->tbase = ob->tbase; + bases->dbase = ob->dbase; + + encoding = ob->s.b.encoding; + if (ob->s.b.mixed_encoding) + encoding = get_fde_encoding (f); + read_encoded_value_with_base (encoding, base_from_object (encoding, ob), + f->pc_begin, &func); + bases->func = (void *) func; + } + + return f; +} diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde.h b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde.h new file mode 100644 index 0000000000..9d01f572a2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2-fde.h @@ -0,0 +1,182 @@ +/* Subroutines needed for unwinding stack frames for exception handling. */ +/* Copyright (C) 1997-2015 Free Software Foundation, Inc. + Contributed by Jason Merrill . + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +#ifndef GCC_UNWIND_DW2_FDE_H +#define GCC_UNWIND_DW2_FDE_H + +#ifndef HIDE_EXPORTS +#pragma GCC visibility push(default) +#endif + +struct fde_vector +{ + const void *orig_data; + size_t count; + const struct dwarf_fde *array[]; +}; + +struct object +{ + void *pc_begin; + void *tbase; + void *dbase; + union { + const struct dwarf_fde *single; + struct dwarf_fde **array; + struct fde_vector *sort; + } u; + + union { + struct { + unsigned long sorted : 1; + unsigned long from_array : 1; + unsigned long mixed_encoding : 1; + unsigned long encoding : 8; + /* ??? Wish there was an easy way to detect a 64-bit host here; + we've got 32 bits left to play with... */ + unsigned long count : 21; + } b; + size_t i; + } s; + +#ifdef DWARF2_OBJECT_END_PTR_EXTENSION + char *fde_end; +#endif + + struct object *next; +}; + +/* This is the original definition of struct object. While the struct + itself was opaque to users, they did know how large it was, and + allocate one statically in crtbegin for each DSO. Keep this around + so that we're aware of the static size limitations for the new struct. */ +struct old_object +{ + void *pc_begin; + void *pc_end; + struct dwarf_fde *fde_begin; + struct dwarf_fde **fde_array; + size_t count; + struct old_object *next; +}; + +struct dwarf_eh_bases +{ + void *tbase; + void *dbase; + void *func; +}; + + +extern void __register_frame_info_bases (const void *, struct object *, + void *, void *); +extern void __register_frame_info (const void *, struct object *); +extern void __register_frame (void *); +extern void __register_frame_info_table_bases (void *, struct object *, + void *, void *); +extern void __register_frame_info_table (void *, struct object *); +extern void __register_frame_table (void *); +extern void *__deregister_frame_info (const void *); +extern void *__deregister_frame_info_bases (const void *); +extern void __deregister_frame (void *); + + +typedef int sword __attribute__ ((mode (SI))); +typedef unsigned int uword __attribute__ ((mode (SI))); +typedef unsigned int uaddr __attribute__ ((mode (pointer))); +typedef int saddr __attribute__ ((mode (pointer))); +typedef unsigned char ubyte; + +/* Terminology: + CIE - Common Information Element + FDE - Frame Descriptor Element + + There is one per function, and it describes where the function code + is located, and what the register lifetimes and stack layout are + within the function. + + The data structures are defined in the DWARF specification, although + not in a very readable way (see LITERATURE). + + Every time an exception is thrown, the code needs to locate the FDE + for the current function, and starts to look for exception regions + from that FDE. This works in a two-level search: + a) in a linear search, find the shared image (i.e. DLL) containing + the PC + b) using the FDE table for that shared object, locate the FDE using + binary search (which requires the sorting). */ + +/* The first few fields of a CIE. The CIE_id field is 0 for a CIE, + to distinguish it from a valid FDE. FDEs are aligned to an addressing + unit boundary, but the fields within are unaligned. */ +struct dwarf_cie +{ + uword length; + sword CIE_id; + ubyte version; + unsigned char augmentation[]; +} __attribute__ ((packed, aligned (__alignof__ (void *)))); + +/* The first few fields of an FDE. */ +struct dwarf_fde +{ + uword length; + sword CIE_delta; + unsigned char pc_begin[]; +} __attribute__ ((packed, aligned (__alignof__ (void *)))); + +typedef struct dwarf_fde fde; + +/* Locate the CIE for a given FDE. */ + +static inline const struct dwarf_cie * +get_cie (const struct dwarf_fde *f) +{ + return (const void *)&f->CIE_delta - f->CIE_delta; +} + +static inline const fde * +next_fde (const fde *f) +{ + return (const fde *) ((const char *) f + f->length + sizeof (f->length)); +} + +extern const fde * _Unwind_Find_FDE (void *, struct dwarf_eh_bases *); + +static inline int +last_fde (struct object *obj __attribute__ ((__unused__)), const fde *f) +{ +#ifdef DWARF2_OBJECT_END_PTR_EXTENSION + return f == (const fde *) obj->fde_end || f->length == 0; +#else + return f->length == 0; +#endif +} + +#ifndef HIDE_EXPORTS +#pragma GCC visibility pop +#endif + +#endif /* unwind-dw2-fde.h */ diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-dw2.c b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2.c new file mode 100644 index 0000000000..6483c2bd6a --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2.c @@ -0,0 +1,1715 @@ +/* DWARF2 exception handling and frame unwind runtime interface routines. + Copyright (C) 1997-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "dwarf2.h" +#include "unwind.h" +#ifdef __USING_SJLJ_EXCEPTIONS__ +# define NO_SIZE_OF_ENCODED_VALUE +#endif +#include "unwind-pe.h" +#include "unwind-dw2-fde.h" +#include "gthr.h" +#include "unwind-dw2.h" + +#ifdef HAVE_SYS_SDT_H +#include +#endif + +#ifndef __USING_SJLJ_EXCEPTIONS__ + +#ifndef __LIBGCC_STACK_GROWS_DOWNWARD__ +#define __LIBGCC_STACK_GROWS_DOWNWARD__ 0 +#else +#undef __LIBGCC_STACK_GROWS_DOWNWARD__ +#define __LIBGCC_STACK_GROWS_DOWNWARD__ 1 +#endif + +/* Dwarf frame registers used for pre gcc 3.0 compiled glibc. */ +#ifndef PRE_GCC3_DWARF_FRAME_REGISTERS +#define PRE_GCC3_DWARF_FRAME_REGISTERS __LIBGCC_DWARF_FRAME_REGISTERS__ +#endif + +/* ??? For the public function interfaces, we tend to gcc_assert that the + column numbers are in range. For the dwarf2 unwind info this does happen, + although so far in a case that doesn't actually matter. + + See PR49146, in which a call from x86_64 ms abi to x86_64 unix abi stores + the call-saved xmm registers and annotates them. We havn't bothered + providing support for the xmm registers for the x86_64 port primarily + because the 64-bit windows targets don't use dwarf2 unwind, using sjlj or + SEH instead. Adding the support for unix targets would generally be a + waste. However, some runtime libraries supplied with ICC do contain such + an unorthodox transition, as well as the unwind info to match. This loss + of register restoration doesn't matter in practice, because the exception + is caught in the native unix abi, where all of the xmm registers are + call clobbered. + + Ideally, we'd record some bit to notice when we're failing to restore some + register recorded in the unwind info, but to do that we need annotation on + the unix->ms abi edge, so that we know when the register data may be + discarded. And since this edge is also within the ICC library, we're + unlikely to be able to get the new annotation. + + Barring a magic solution to restore the ms abi defined 128-bit xmm registers + (as distictly opposed to the full runtime width) without causing extra + overhead for normal unix abis, the best solution seems to be to simply + ignore unwind data for unknown columns. */ + +#define UNWIND_COLUMN_IN_RANGE(x) \ + __builtin_expect((x) <= __LIBGCC_DWARF_FRAME_REGISTERS__, 1) + +#ifdef REG_VALUE_IN_UNWIND_CONTEXT +typedef _Unwind_Word _Unwind_Context_Reg_Val; + +#ifndef ASSUME_EXTENDED_UNWIND_CONTEXT +#define ASSUME_EXTENDED_UNWIND_CONTEXT 1 +#endif + +static inline _Unwind_Word +_Unwind_Get_Unwind_Word (_Unwind_Context_Reg_Val val) +{ + return val; +} + +static inline _Unwind_Context_Reg_Val +_Unwind_Get_Unwind_Context_Reg_Val (_Unwind_Word val) +{ + return val; +} +#else +typedef void *_Unwind_Context_Reg_Val; + +static inline _Unwind_Word +_Unwind_Get_Unwind_Word (_Unwind_Context_Reg_Val val) +{ + return (_Unwind_Word) (_Unwind_Internal_Ptr) val; +} + +static inline _Unwind_Context_Reg_Val +_Unwind_Get_Unwind_Context_Reg_Val (_Unwind_Word val) +{ + return (_Unwind_Context_Reg_Val) (_Unwind_Internal_Ptr) val; +} +#endif + +#ifndef ASSUME_EXTENDED_UNWIND_CONTEXT +#define ASSUME_EXTENDED_UNWIND_CONTEXT 0 +#endif + +/* This is the register and unwind state for a particular frame. This + provides the information necessary to unwind up past a frame and return + to its caller. */ +struct _Unwind_Context +{ + _Unwind_Context_Reg_Val reg[__LIBGCC_DWARF_FRAME_REGISTERS__+1]; + void *cfa; + void *ra; + void *lsda; + struct dwarf_eh_bases bases; + /* Signal frame context. */ +#define SIGNAL_FRAME_BIT ((~(_Unwind_Word) 0 >> 1) + 1) + /* Context which has version/args_size/by_value fields. */ +#define EXTENDED_CONTEXT_BIT ((~(_Unwind_Word) 0 >> 2) + 1) + _Unwind_Word flags; + /* 0 for now, can be increased when further fields are added to + struct _Unwind_Context. */ + _Unwind_Word version; + _Unwind_Word args_size; + char by_value[__LIBGCC_DWARF_FRAME_REGISTERS__+1]; +}; + +/* Byte size of every register managed by these routines. */ +static unsigned char dwarf_reg_size_table[__LIBGCC_DWARF_FRAME_REGISTERS__+1]; + + +/* Read unaligned data from the instruction buffer. */ + +union unaligned +{ + void *p; + unsigned u2 __attribute__ ((mode (HI))); + unsigned u4 __attribute__ ((mode (SI))); + unsigned u8 __attribute__ ((mode (DI))); + signed s2 __attribute__ ((mode (HI))); + signed s4 __attribute__ ((mode (SI))); + signed s8 __attribute__ ((mode (DI))); +} __attribute__ ((packed)); + +static void uw_update_context (struct _Unwind_Context *, _Unwind_FrameState *); +static _Unwind_Reason_Code uw_frame_state_for (struct _Unwind_Context *, + _Unwind_FrameState *); + +static inline void * +read_pointer (const void *p) { const union unaligned *up = p; return up->p; } + +static inline int +read_1u (const void *p) { return *(const unsigned char *) p; } + +static inline int +read_1s (const void *p) { return *(const signed char *) p; } + +static inline int +read_2u (const void *p) { const union unaligned *up = p; return up->u2; } + +static inline int +read_2s (const void *p) { const union unaligned *up = p; return up->s2; } + +static inline unsigned int +read_4u (const void *p) { const union unaligned *up = p; return up->u4; } + +static inline int +read_4s (const void *p) { const union unaligned *up = p; return up->s4; } + +static inline unsigned long +read_8u (const void *p) { const union unaligned *up = p; return up->u8; } + +static inline unsigned long +read_8s (const void *p) { const union unaligned *up = p; return up->s8; } + +static inline _Unwind_Word +_Unwind_IsSignalFrame (struct _Unwind_Context *context) +{ + return (context->flags & SIGNAL_FRAME_BIT) ? 1 : 0; +} + +static inline void +_Unwind_SetSignalFrame (struct _Unwind_Context *context, int val) +{ + if (val) + context->flags |= SIGNAL_FRAME_BIT; + else + context->flags &= ~SIGNAL_FRAME_BIT; +} + +static inline _Unwind_Word +_Unwind_IsExtendedContext (struct _Unwind_Context *context) +{ + return (ASSUME_EXTENDED_UNWIND_CONTEXT + || (context->flags & EXTENDED_CONTEXT_BIT)); +} + +/* Get the value of register INDEX as saved in CONTEXT. */ + +inline _Unwind_Word +_Unwind_GetGR (struct _Unwind_Context *context, int index) +{ + int size; + _Unwind_Context_Reg_Val val; + +#ifdef DWARF_ZERO_REG + if (index == DWARF_ZERO_REG) + return 0; +#endif + + index = DWARF_REG_TO_UNWIND_COLUMN (index); + gcc_assert (index < (int) sizeof(dwarf_reg_size_table)); + size = dwarf_reg_size_table[index]; + val = context->reg[index]; + + if (_Unwind_IsExtendedContext (context) && context->by_value[index]) + return _Unwind_Get_Unwind_Word (val); + + /* This will segfault if the register hasn't been saved. */ + if (size == sizeof(_Unwind_Ptr)) + return * (_Unwind_Ptr *) (_Unwind_Internal_Ptr) val; + else + { + gcc_assert (size == sizeof(_Unwind_Word)); + return * (_Unwind_Word *) (_Unwind_Internal_Ptr) val; + } +} + +static inline void * +_Unwind_GetPtr (struct _Unwind_Context *context, int index) +{ + return (void *)(_Unwind_Ptr) _Unwind_GetGR (context, index); +} + +/* Get the value of the CFA as saved in CONTEXT. */ + +_Unwind_Word +_Unwind_GetCFA (struct _Unwind_Context *context) +{ + return (_Unwind_Ptr) context->cfa; +} + +/* Overwrite the saved value for register INDEX in CONTEXT with VAL. */ + +inline void +_Unwind_SetGR (struct _Unwind_Context *context, int index, _Unwind_Word val) +{ + int size; + void *ptr; + + index = DWARF_REG_TO_UNWIND_COLUMN (index); + gcc_assert (index < (int) sizeof(dwarf_reg_size_table)); + size = dwarf_reg_size_table[index]; + + if (_Unwind_IsExtendedContext (context) && context->by_value[index]) + { + context->reg[index] = _Unwind_Get_Unwind_Context_Reg_Val (val); + return; + } + + ptr = (void *) (_Unwind_Internal_Ptr) context->reg[index]; + + if (size == sizeof(_Unwind_Ptr)) + * (_Unwind_Ptr *) ptr = val; + else + { + gcc_assert (size == sizeof(_Unwind_Word)); + * (_Unwind_Word *) ptr = val; + } +} + +/* Get the pointer to a register INDEX as saved in CONTEXT. */ + +static inline void * +_Unwind_GetGRPtr (struct _Unwind_Context *context, int index) +{ + index = DWARF_REG_TO_UNWIND_COLUMN (index); + if (_Unwind_IsExtendedContext (context) && context->by_value[index]) + return &context->reg[index]; + return (void *) (_Unwind_Internal_Ptr) context->reg[index]; +} + +/* Set the pointer to a register INDEX as saved in CONTEXT. */ + +static inline void +_Unwind_SetGRPtr (struct _Unwind_Context *context, int index, void *p) +{ + index = DWARF_REG_TO_UNWIND_COLUMN (index); + if (_Unwind_IsExtendedContext (context)) + context->by_value[index] = 0; + context->reg[index] = (_Unwind_Context_Reg_Val) (_Unwind_Internal_Ptr) p; +} + +/* Overwrite the saved value for register INDEX in CONTEXT with VAL. */ + +static inline void +_Unwind_SetGRValue (struct _Unwind_Context *context, int index, + _Unwind_Word val) +{ + index = DWARF_REG_TO_UNWIND_COLUMN (index); + gcc_assert (index < (int) sizeof(dwarf_reg_size_table)); + /* Return column size may be smaller than _Unwind_Context_Reg_Val. */ + gcc_assert (dwarf_reg_size_table[index] <= sizeof (_Unwind_Context_Reg_Val)); + + context->by_value[index] = 1; + context->reg[index] = _Unwind_Get_Unwind_Context_Reg_Val (val); +} + +/* Return nonzero if register INDEX is stored by value rather than + by reference. */ + +static inline int +_Unwind_GRByValue (struct _Unwind_Context *context, int index) +{ + index = DWARF_REG_TO_UNWIND_COLUMN (index); + return context->by_value[index]; +} + +/* Retrieve the return address for CONTEXT. */ + +inline _Unwind_Ptr +_Unwind_GetIP (struct _Unwind_Context *context) +{ + return (_Unwind_Ptr) context->ra; +} + +/* Retrieve the return address and flag whether that IP is before + or after first not yet fully executed instruction. */ + +inline _Unwind_Ptr +_Unwind_GetIPInfo (struct _Unwind_Context *context, int *ip_before_insn) +{ + *ip_before_insn = _Unwind_IsSignalFrame (context); + return (_Unwind_Ptr) context->ra; +} + +/* Overwrite the return address for CONTEXT with VAL. */ + +inline void +_Unwind_SetIP (struct _Unwind_Context *context, _Unwind_Ptr val) +{ + context->ra = (void *) val; +} + +void * +_Unwind_GetLanguageSpecificData (struct _Unwind_Context *context) +{ + return context->lsda; +} + +_Unwind_Ptr +_Unwind_GetRegionStart (struct _Unwind_Context *context) +{ + return (_Unwind_Ptr) context->bases.func; +} + +void * +_Unwind_FindEnclosingFunction (void *pc) +{ + struct dwarf_eh_bases bases; + const struct dwarf_fde *fde = _Unwind_Find_FDE (pc-1, &bases); + if (fde) + return bases.func; + else + return NULL; +} + +#ifndef __ia64__ +_Unwind_Ptr +_Unwind_GetDataRelBase (struct _Unwind_Context *context) +{ + return (_Unwind_Ptr) context->bases.dbase; +} + +_Unwind_Ptr +_Unwind_GetTextRelBase (struct _Unwind_Context *context) +{ + return (_Unwind_Ptr) context->bases.tbase; +} +#endif + +#include "md-unwind-support.h" + +/* Extract any interesting information from the CIE for the translation + unit F belongs to. Return a pointer to the byte after the augmentation, + or NULL if we encountered an undecipherable augmentation. */ + +static const unsigned char * +extract_cie_info (const struct dwarf_cie *cie, struct _Unwind_Context *context, + _Unwind_FrameState *fs) +{ + const unsigned char *aug = cie->augmentation; + const unsigned char *p = aug + strlen ((const char *)aug) + 1; + const unsigned char *ret = NULL; + _uleb128_t utmp; + _sleb128_t stmp; + + /* g++ v2 "eh" has pointer immediately following augmentation string, + so it must be handled first. */ + if (aug[0] == 'e' && aug[1] == 'h') + { + fs->eh_ptr = read_pointer (p); + p += sizeof (void *); + aug += 2; + } + + /* After the augmentation resp. pointer for "eh" augmentation + follows for CIE version >= 4 address size byte and + segment size byte. */ + if (__builtin_expect (cie->version >= 4, 0)) + { + if (p[0] != sizeof (void *) || p[1] != 0) + return NULL; + p += 2; + } + /* Immediately following this are the code and + data alignment and return address column. */ + p = read_uleb128 (p, &utmp); + fs->code_align = (_Unwind_Word)utmp; + p = read_sleb128 (p, &stmp); + fs->data_align = (_Unwind_Sword)stmp; + if (cie->version == 1) + fs->retaddr_column = *p++; + else + { + p = read_uleb128 (p, &utmp); + fs->retaddr_column = (_Unwind_Word)utmp; + } + fs->lsda_encoding = DW_EH_PE_omit; + + /* If the augmentation starts with 'z', then a uleb128 immediately + follows containing the length of the augmentation field following + the size. */ + if (*aug == 'z') + { + p = read_uleb128 (p, &utmp); + ret = p + utmp; + + fs->saw_z = 1; + ++aug; + } + + /* Iterate over recognized augmentation subsequences. */ + while (*aug != '\0') + { + /* "L" indicates a byte showing how the LSDA pointer is encoded. */ + if (aug[0] == 'L') + { + fs->lsda_encoding = *p++; + aug += 1; + } + + /* "R" indicates a byte indicating how FDE addresses are encoded. */ + else if (aug[0] == 'R') + { + fs->fde_encoding = *p++; + aug += 1; + } + + /* "P" indicates a personality routine in the CIE augmentation. */ + else if (aug[0] == 'P') + { + _Unwind_Ptr personality; + + p = read_encoded_value (context, *p, p + 1, &personality); + fs->personality = (_Unwind_Personality_Fn) personality; + aug += 1; + } + + /* "S" indicates a signal frame. */ + else if (aug[0] == 'S') + { + fs->signal_frame = 1; + aug += 1; + } + + /* Otherwise we have an unknown augmentation string. + Bail unless we saw a 'z' prefix. */ + else + return ret; + } + + return ret ? ret : p; +} + + +/* Decode a DW_OP stack program. Return the top of stack. Push INITIAL + onto the stack to start. */ + +static _Unwind_Word +execute_stack_op (const unsigned char *op_ptr, const unsigned char *op_end, + struct _Unwind_Context *context, _Unwind_Word initial) +{ + _Unwind_Word stack[64]; /* ??? Assume this is enough. */ + int stack_elt; + + stack[0] = initial; + stack_elt = 1; + + while (op_ptr < op_end) + { + enum dwarf_location_atom op = *op_ptr++; + _Unwind_Word result; + _uleb128_t reg, utmp; + _sleb128_t offset, stmp; + + switch (op) + { + case DW_OP_lit0: + case DW_OP_lit1: + case DW_OP_lit2: + case DW_OP_lit3: + case DW_OP_lit4: + case DW_OP_lit5: + case DW_OP_lit6: + case DW_OP_lit7: + case DW_OP_lit8: + case DW_OP_lit9: + case DW_OP_lit10: + case DW_OP_lit11: + case DW_OP_lit12: + case DW_OP_lit13: + case DW_OP_lit14: + case DW_OP_lit15: + case DW_OP_lit16: + case DW_OP_lit17: + case DW_OP_lit18: + case DW_OP_lit19: + case DW_OP_lit20: + case DW_OP_lit21: + case DW_OP_lit22: + case DW_OP_lit23: + case DW_OP_lit24: + case DW_OP_lit25: + case DW_OP_lit26: + case DW_OP_lit27: + case DW_OP_lit28: + case DW_OP_lit29: + case DW_OP_lit30: + case DW_OP_lit31: + result = op - DW_OP_lit0; + break; + + case DW_OP_addr: + result = (_Unwind_Word) (_Unwind_Ptr) read_pointer (op_ptr); + op_ptr += sizeof (void *); + break; + + case DW_OP_GNU_encoded_addr: + { + _Unwind_Ptr presult; + op_ptr = read_encoded_value (context, *op_ptr, op_ptr+1, &presult); + result = presult; + } + break; + + case DW_OP_const1u: + result = read_1u (op_ptr); + op_ptr += 1; + break; + case DW_OP_const1s: + result = read_1s (op_ptr); + op_ptr += 1; + break; + case DW_OP_const2u: + result = read_2u (op_ptr); + op_ptr += 2; + break; + case DW_OP_const2s: + result = read_2s (op_ptr); + op_ptr += 2; + break; + case DW_OP_const4u: + result = read_4u (op_ptr); + op_ptr += 4; + break; + case DW_OP_const4s: + result = read_4s (op_ptr); + op_ptr += 4; + break; + case DW_OP_const8u: + result = read_8u (op_ptr); + op_ptr += 8; + break; + case DW_OP_const8s: + result = read_8s (op_ptr); + op_ptr += 8; + break; + case DW_OP_constu: + op_ptr = read_uleb128 (op_ptr, &utmp); + result = (_Unwind_Word)utmp; + break; + case DW_OP_consts: + op_ptr = read_sleb128 (op_ptr, &stmp); + result = (_Unwind_Sword)stmp; + break; + + case DW_OP_reg0: + case DW_OP_reg1: + case DW_OP_reg2: + case DW_OP_reg3: + case DW_OP_reg4: + case DW_OP_reg5: + case DW_OP_reg6: + case DW_OP_reg7: + case DW_OP_reg8: + case DW_OP_reg9: + case DW_OP_reg10: + case DW_OP_reg11: + case DW_OP_reg12: + case DW_OP_reg13: + case DW_OP_reg14: + case DW_OP_reg15: + case DW_OP_reg16: + case DW_OP_reg17: + case DW_OP_reg18: + case DW_OP_reg19: + case DW_OP_reg20: + case DW_OP_reg21: + case DW_OP_reg22: + case DW_OP_reg23: + case DW_OP_reg24: + case DW_OP_reg25: + case DW_OP_reg26: + case DW_OP_reg27: + case DW_OP_reg28: + case DW_OP_reg29: + case DW_OP_reg30: + case DW_OP_reg31: + result = _Unwind_GetGR (context, op - DW_OP_reg0); + break; + case DW_OP_regx: + op_ptr = read_uleb128 (op_ptr, ®); + result = _Unwind_GetGR (context, reg); + break; + + case DW_OP_breg0: + case DW_OP_breg1: + case DW_OP_breg2: + case DW_OP_breg3: + case DW_OP_breg4: + case DW_OP_breg5: + case DW_OP_breg6: + case DW_OP_breg7: + case DW_OP_breg8: + case DW_OP_breg9: + case DW_OP_breg10: + case DW_OP_breg11: + case DW_OP_breg12: + case DW_OP_breg13: + case DW_OP_breg14: + case DW_OP_breg15: + case DW_OP_breg16: + case DW_OP_breg17: + case DW_OP_breg18: + case DW_OP_breg19: + case DW_OP_breg20: + case DW_OP_breg21: + case DW_OP_breg22: + case DW_OP_breg23: + case DW_OP_breg24: + case DW_OP_breg25: + case DW_OP_breg26: + case DW_OP_breg27: + case DW_OP_breg28: + case DW_OP_breg29: + case DW_OP_breg30: + case DW_OP_breg31: + op_ptr = read_sleb128 (op_ptr, &offset); + result = _Unwind_GetGR (context, op - DW_OP_breg0) + offset; + break; + case DW_OP_bregx: + op_ptr = read_uleb128 (op_ptr, ®); + op_ptr = read_sleb128 (op_ptr, &offset); + result = _Unwind_GetGR (context, reg) + (_Unwind_Word)offset; + break; + + case DW_OP_dup: + gcc_assert (stack_elt); + result = stack[stack_elt - 1]; + break; + + case DW_OP_drop: + gcc_assert (stack_elt); + stack_elt -= 1; + goto no_push; + + case DW_OP_pick: + offset = *op_ptr++; + gcc_assert (offset < stack_elt - 1); + result = stack[stack_elt - 1 - offset]; + break; + + case DW_OP_over: + gcc_assert (stack_elt >= 2); + result = stack[stack_elt - 2]; + break; + + case DW_OP_swap: + { + _Unwind_Word t; + gcc_assert (stack_elt >= 2); + t = stack[stack_elt - 1]; + stack[stack_elt - 1] = stack[stack_elt - 2]; + stack[stack_elt - 2] = t; + goto no_push; + } + + case DW_OP_rot: + { + _Unwind_Word t1, t2, t3; + + gcc_assert (stack_elt >= 3); + t1 = stack[stack_elt - 1]; + t2 = stack[stack_elt - 2]; + t3 = stack[stack_elt - 3]; + stack[stack_elt - 1] = t2; + stack[stack_elt - 2] = t3; + stack[stack_elt - 3] = t1; + goto no_push; + } + + case DW_OP_deref: + case DW_OP_deref_size: + case DW_OP_abs: + case DW_OP_neg: + case DW_OP_not: + case DW_OP_plus_uconst: + /* Unary operations. */ + gcc_assert (stack_elt); + stack_elt -= 1; + + result = stack[stack_elt]; + + switch (op) + { + case DW_OP_deref: + { + void *ptr = (void *) (_Unwind_Ptr) result; + result = (_Unwind_Ptr) read_pointer (ptr); + } + break; + + case DW_OP_deref_size: + { + void *ptr = (void *) (_Unwind_Ptr) result; + switch (*op_ptr++) + { + case 1: + result = read_1u (ptr); + break; + case 2: + result = read_2u (ptr); + break; + case 4: + result = read_4u (ptr); + break; + case 8: + result = read_8u (ptr); + break; + default: + gcc_unreachable (); + } + } + break; + + case DW_OP_abs: + if ((_Unwind_Sword) result < 0) + result = -result; + break; + case DW_OP_neg: + result = -result; + break; + case DW_OP_not: + result = ~result; + break; + case DW_OP_plus_uconst: + op_ptr = read_uleb128 (op_ptr, &utmp); + result += (_Unwind_Word)utmp; + break; + + default: + gcc_unreachable (); + } + break; + + case DW_OP_and: + case DW_OP_div: + case DW_OP_minus: + case DW_OP_mod: + case DW_OP_mul: + case DW_OP_or: + case DW_OP_plus: + case DW_OP_shl: + case DW_OP_shr: + case DW_OP_shra: + case DW_OP_xor: + case DW_OP_le: + case DW_OP_ge: + case DW_OP_eq: + case DW_OP_lt: + case DW_OP_gt: + case DW_OP_ne: + { + /* Binary operations. */ + _Unwind_Word first, second; + gcc_assert (stack_elt >= 2); + stack_elt -= 2; + + second = stack[stack_elt]; + first = stack[stack_elt + 1]; + + switch (op) + { + case DW_OP_and: + result = second & first; + break; + case DW_OP_div: + result = (_Unwind_Sword) second / (_Unwind_Sword) first; + break; + case DW_OP_minus: + result = second - first; + break; + case DW_OP_mod: + result = second % first; + break; + case DW_OP_mul: + result = second * first; + break; + case DW_OP_or: + result = second | first; + break; + case DW_OP_plus: + result = second + first; + break; + case DW_OP_shl: + result = second << first; + break; + case DW_OP_shr: + result = second >> first; + break; + case DW_OP_shra: + result = (_Unwind_Sword) second >> first; + break; + case DW_OP_xor: + result = second ^ first; + break; + case DW_OP_le: + result = (_Unwind_Sword) second <= (_Unwind_Sword) first; + break; + case DW_OP_ge: + result = (_Unwind_Sword) second >= (_Unwind_Sword) first; + break; + case DW_OP_eq: + result = (_Unwind_Sword) second == (_Unwind_Sword) first; + break; + case DW_OP_lt: + result = (_Unwind_Sword) second < (_Unwind_Sword) first; + break; + case DW_OP_gt: + result = (_Unwind_Sword) second > (_Unwind_Sword) first; + break; + case DW_OP_ne: + result = (_Unwind_Sword) second != (_Unwind_Sword) first; + break; + + default: + gcc_unreachable (); + } + } + break; + + case DW_OP_skip: + offset = read_2s (op_ptr); + op_ptr += 2; + op_ptr += offset; + goto no_push; + + case DW_OP_bra: + gcc_assert (stack_elt); + stack_elt -= 1; + + offset = read_2s (op_ptr); + op_ptr += 2; + if (stack[stack_elt] != 0) + op_ptr += offset; + goto no_push; + + case DW_OP_nop: + goto no_push; + + default: + gcc_unreachable (); + } + + /* Most things push a result value. */ + gcc_assert ((size_t) stack_elt < sizeof(stack)/sizeof(*stack)); + stack[stack_elt++] = result; + no_push:; + } + + /* We were executing this program to get a value. It should be + at top of stack. */ + gcc_assert (stack_elt); + stack_elt -= 1; + return stack[stack_elt]; +} + + +/* Decode DWARF 2 call frame information. Takes pointers the + instruction sequence to decode, current register information and + CIE info, and the PC range to evaluate. */ + +static void +execute_cfa_program (const unsigned char *insn_ptr, + const unsigned char *insn_end, + struct _Unwind_Context *context, + _Unwind_FrameState *fs) +{ + struct frame_state_reg_info *unused_rs = NULL; + + /* Don't allow remember/restore between CIE and FDE programs. */ + fs->regs.prev = NULL; + + /* The comparison with the return address uses < rather than <= because + we are only interested in the effects of code before the call; for a + noreturn function, the return address may point to unrelated code with + a different stack configuration that we are not interested in. We + assume that the call itself is unwind info-neutral; if not, or if + there are delay instructions that adjust the stack, these must be + reflected at the point immediately before the call insn. + In signal frames, return address is after last completed instruction, + so we add 1 to return address to make the comparison <=. */ + while (insn_ptr < insn_end + && fs->pc < context->ra + _Unwind_IsSignalFrame (context)) + { + unsigned char insn = *insn_ptr++; + _uleb128_t reg, utmp; + _sleb128_t offset, stmp; + + if ((insn & 0xc0) == DW_CFA_advance_loc) + fs->pc += (insn & 0x3f) * fs->code_align; + else if ((insn & 0xc0) == DW_CFA_offset) + { + reg = insn & 0x3f; + insn_ptr = read_uleb128 (insn_ptr, &utmp); + offset = (_Unwind_Sword) utmp * fs->data_align; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_OFFSET; + fs->regs.reg[reg].loc.offset = offset; + } + } + else if ((insn & 0xc0) == DW_CFA_restore) + { + reg = insn & 0x3f; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + fs->regs.reg[reg].how = REG_UNSAVED; + } + else switch (insn) + { + case DW_CFA_set_loc: + { + _Unwind_Ptr pc; + + insn_ptr = read_encoded_value (context, fs->fde_encoding, + insn_ptr, &pc); + fs->pc = (void *) pc; + } + break; + + case DW_CFA_advance_loc1: + fs->pc += read_1u (insn_ptr) * fs->code_align; + insn_ptr += 1; + break; + case DW_CFA_advance_loc2: + fs->pc += read_2u (insn_ptr) * fs->code_align; + insn_ptr += 2; + break; + case DW_CFA_advance_loc4: + fs->pc += read_4u (insn_ptr) * fs->code_align; + insn_ptr += 4; + break; + + case DW_CFA_offset_extended: + insn_ptr = read_uleb128 (insn_ptr, ®); + insn_ptr = read_uleb128 (insn_ptr, &utmp); + offset = (_Unwind_Sword) utmp * fs->data_align; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_OFFSET; + fs->regs.reg[reg].loc.offset = offset; + } + break; + + case DW_CFA_restore_extended: + insn_ptr = read_uleb128 (insn_ptr, ®); + /* FIXME, this is wrong; the CIE might have said that the + register was saved somewhere. */ + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + fs->regs.reg[reg].how = REG_UNSAVED; + break; + + case DW_CFA_same_value: + insn_ptr = read_uleb128 (insn_ptr, ®); + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + fs->regs.reg[reg].how = REG_UNSAVED; + break; + + case DW_CFA_undefined: + insn_ptr = read_uleb128 (insn_ptr, ®); + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + fs->regs.reg[reg].how = REG_UNDEFINED; + break; + + case DW_CFA_nop: + break; + + case DW_CFA_register: + { + _uleb128_t reg2; + insn_ptr = read_uleb128 (insn_ptr, ®); + insn_ptr = read_uleb128 (insn_ptr, ®2); + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_REG; + fs->regs.reg[reg].loc.reg = (_Unwind_Word)reg2; + } + } + break; + + case DW_CFA_remember_state: + { + struct frame_state_reg_info *new_rs; + if (unused_rs) + { + new_rs = unused_rs; + unused_rs = unused_rs->prev; + } + else + new_rs = alloca (sizeof (struct frame_state_reg_info)); + + *new_rs = fs->regs; + fs->regs.prev = new_rs; + } + break; + + case DW_CFA_restore_state: + { + struct frame_state_reg_info *old_rs = fs->regs.prev; + fs->regs = *old_rs; + old_rs->prev = unused_rs; + unused_rs = old_rs; + } + break; + + case DW_CFA_def_cfa: + insn_ptr = read_uleb128 (insn_ptr, &utmp); + fs->regs.cfa_reg = (_Unwind_Word)utmp; + insn_ptr = read_uleb128 (insn_ptr, &utmp); + fs->regs.cfa_offset = (_Unwind_Word)utmp; + fs->regs.cfa_how = CFA_REG_OFFSET; + break; + + case DW_CFA_def_cfa_register: + insn_ptr = read_uleb128 (insn_ptr, &utmp); + fs->regs.cfa_reg = (_Unwind_Word)utmp; + fs->regs.cfa_how = CFA_REG_OFFSET; + break; + + case DW_CFA_def_cfa_offset: + insn_ptr = read_uleb128 (insn_ptr, &utmp); + fs->regs.cfa_offset = utmp; + /* cfa_how deliberately not set. */ + break; + + case DW_CFA_def_cfa_expression: + fs->regs.cfa_exp = insn_ptr; + fs->regs.cfa_how = CFA_EXP; + insn_ptr = read_uleb128 (insn_ptr, &utmp); + insn_ptr += utmp; + break; + + case DW_CFA_expression: + insn_ptr = read_uleb128 (insn_ptr, ®); + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_EXP; + fs->regs.reg[reg].loc.exp = insn_ptr; + } + insn_ptr = read_uleb128 (insn_ptr, &utmp); + insn_ptr += utmp; + break; + + /* Dwarf3. */ + case DW_CFA_offset_extended_sf: + insn_ptr = read_uleb128 (insn_ptr, ®); + insn_ptr = read_sleb128 (insn_ptr, &stmp); + offset = stmp * fs->data_align; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_OFFSET; + fs->regs.reg[reg].loc.offset = offset; + } + break; + + case DW_CFA_def_cfa_sf: + insn_ptr = read_uleb128 (insn_ptr, &utmp); + fs->regs.cfa_reg = (_Unwind_Word)utmp; + insn_ptr = read_sleb128 (insn_ptr, &stmp); + fs->regs.cfa_offset = (_Unwind_Sword)stmp; + fs->regs.cfa_how = CFA_REG_OFFSET; + fs->regs.cfa_offset *= fs->data_align; + break; + + case DW_CFA_def_cfa_offset_sf: + insn_ptr = read_sleb128 (insn_ptr, &stmp); + fs->regs.cfa_offset = (_Unwind_Sword)stmp; + fs->regs.cfa_offset *= fs->data_align; + /* cfa_how deliberately not set. */ + break; + + case DW_CFA_val_offset: + insn_ptr = read_uleb128 (insn_ptr, ®); + insn_ptr = read_uleb128 (insn_ptr, &utmp); + offset = (_Unwind_Sword) utmp * fs->data_align; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_VAL_OFFSET; + fs->regs.reg[reg].loc.offset = offset; + } + break; + + case DW_CFA_val_offset_sf: + insn_ptr = read_uleb128 (insn_ptr, ®); + insn_ptr = read_sleb128 (insn_ptr, &stmp); + offset = stmp * fs->data_align; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_VAL_OFFSET; + fs->regs.reg[reg].loc.offset = offset; + } + break; + + case DW_CFA_val_expression: + insn_ptr = read_uleb128 (insn_ptr, ®); + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_VAL_EXP; + fs->regs.reg[reg].loc.exp = insn_ptr; + } + insn_ptr = read_uleb128 (insn_ptr, &utmp); + insn_ptr += utmp; + break; + + case DW_CFA_GNU_window_save: + /* ??? Hardcoded for SPARC register window configuration. */ + if (__LIBGCC_DWARF_FRAME_REGISTERS__ >= 32) + for (reg = 16; reg < 32; ++reg) + { + fs->regs.reg[reg].how = REG_SAVED_OFFSET; + fs->regs.reg[reg].loc.offset = (reg - 16) * sizeof (void *); + } + break; + + case DW_CFA_GNU_args_size: + insn_ptr = read_uleb128 (insn_ptr, &utmp); + context->args_size = (_Unwind_Word)utmp; + break; + + case DW_CFA_GNU_negative_offset_extended: + /* Obsoleted by DW_CFA_offset_extended_sf, but used by + older PowerPC code. */ + insn_ptr = read_uleb128 (insn_ptr, ®); + insn_ptr = read_uleb128 (insn_ptr, &utmp); + offset = (_Unwind_Word) utmp * fs->data_align; + reg = DWARF_REG_TO_UNWIND_COLUMN (reg); + if (UNWIND_COLUMN_IN_RANGE (reg)) + { + fs->regs.reg[reg].how = REG_SAVED_OFFSET; + fs->regs.reg[reg].loc.offset = -offset; + } + break; + + default: + gcc_unreachable (); + } + } +} + +/* Given the _Unwind_Context CONTEXT for a stack frame, look up the FDE for + its caller and decode it into FS. This function also sets the + args_size and lsda members of CONTEXT, as they are really information + about the caller's frame. */ + +static _Unwind_Reason_Code +uw_frame_state_for (struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + const struct dwarf_fde *fde; + const struct dwarf_cie *cie; + const unsigned char *aug, *insn, *end; + + memset (fs, 0, sizeof (*fs)); + context->args_size = 0; + context->lsda = 0; + + if (context->ra == 0) + return _URC_END_OF_STACK; + + fde = _Unwind_Find_FDE (context->ra + _Unwind_IsSignalFrame (context) - 1, + &context->bases); + if (fde == NULL) + { +#ifdef MD_FALLBACK_FRAME_STATE_FOR + /* Couldn't find frame unwind info for this function. Try a + target-specific fallback mechanism. This will necessarily + not provide a personality routine or LSDA. */ + return MD_FALLBACK_FRAME_STATE_FOR (context, fs); +#else + return _URC_END_OF_STACK; +#endif + } + + fs->pc = context->bases.func; + + cie = get_cie (fde); + insn = extract_cie_info (cie, context, fs); + if (insn == NULL) + /* CIE contained unknown augmentation. */ + return _URC_FATAL_PHASE1_ERROR; + + /* First decode all the insns in the CIE. */ + end = (const unsigned char *) next_fde ((const struct dwarf_fde *) cie); + execute_cfa_program (insn, end, context, fs); + + /* Locate augmentation for the fde. */ + aug = (const unsigned char *) fde + sizeof (*fde); + aug += 2 * size_of_encoded_value (fs->fde_encoding); + insn = NULL; + if (fs->saw_z) + { + _uleb128_t i; + aug = read_uleb128 (aug, &i); + insn = aug + i; + } + if (fs->lsda_encoding != DW_EH_PE_omit) + { + _Unwind_Ptr lsda; + + aug = read_encoded_value (context, fs->lsda_encoding, aug, &lsda); + context->lsda = (void *) lsda; + } + + /* Then the insns in the FDE up to our target PC. */ + if (insn == NULL) + insn = aug; + end = (const unsigned char *) next_fde (fde); + execute_cfa_program (insn, end, context, fs); + + return _URC_NO_REASON; +} + +typedef struct frame_state +{ + void *cfa; + void *eh_ptr; + long cfa_offset; + long args_size; + long reg_or_offset[PRE_GCC3_DWARF_FRAME_REGISTERS+1]; + unsigned short cfa_reg; + unsigned short retaddr_column; + char saved[PRE_GCC3_DWARF_FRAME_REGISTERS+1]; +} frame_state; + +struct frame_state * __frame_state_for (void *, struct frame_state *); + +/* Called from pre-G++ 3.0 __throw to find the registers to restore for + a given PC_TARGET. The caller should allocate a local variable of + `struct frame_state' and pass its address to STATE_IN. */ + +struct frame_state * +__frame_state_for (void *pc_target, struct frame_state *state_in) +{ + struct _Unwind_Context context; + _Unwind_FrameState fs; + int reg; + + memset (&context, 0, sizeof (struct _Unwind_Context)); + if (!ASSUME_EXTENDED_UNWIND_CONTEXT) + context.flags = EXTENDED_CONTEXT_BIT; + context.ra = pc_target + 1; + + if (uw_frame_state_for (&context, &fs) != _URC_NO_REASON) + return 0; + + /* We have no way to pass a location expression for the CFA to our + caller. It wouldn't understand it anyway. */ + if (fs.regs.cfa_how == CFA_EXP) + return 0; + + for (reg = 0; reg < PRE_GCC3_DWARF_FRAME_REGISTERS + 1; reg++) + { + state_in->saved[reg] = fs.regs.reg[reg].how; + switch (state_in->saved[reg]) + { + case REG_SAVED_REG: + state_in->reg_or_offset[reg] = fs.regs.reg[reg].loc.reg; + break; + case REG_SAVED_OFFSET: + state_in->reg_or_offset[reg] = fs.regs.reg[reg].loc.offset; + break; + default: + state_in->reg_or_offset[reg] = 0; + break; + } + } + + state_in->cfa_offset = fs.regs.cfa_offset; + state_in->cfa_reg = fs.regs.cfa_reg; + state_in->retaddr_column = fs.retaddr_column; + state_in->args_size = context.args_size; + state_in->eh_ptr = fs.eh_ptr; + + return state_in; +} + +typedef union { _Unwind_Ptr ptr; _Unwind_Word word; } _Unwind_SpTmp; + +static inline void +_Unwind_SetSpColumn (struct _Unwind_Context *context, void *cfa, + _Unwind_SpTmp *tmp_sp) +{ + int size = dwarf_reg_size_table[__builtin_dwarf_sp_column ()]; + + if (size == sizeof(_Unwind_Ptr)) + tmp_sp->ptr = (_Unwind_Ptr) cfa; + else + { + gcc_assert (size == sizeof(_Unwind_Word)); + tmp_sp->word = (_Unwind_Ptr) cfa; + } + _Unwind_SetGRPtr (context, __builtin_dwarf_sp_column (), tmp_sp); +} + +static void +uw_update_context_1 (struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + struct _Unwind_Context orig_context = *context; + void *cfa; + long i; + +#ifdef __LIBGCC_EH_RETURN_STACKADJ_RTX__ + /* Special handling here: Many machines do not use a frame pointer, + and track the CFA only through offsets from the stack pointer from + one frame to the next. In this case, the stack pointer is never + stored, so it has no saved address in the context. What we do + have is the CFA from the previous stack frame. + + In very special situations (such as unwind info for signal return), + there may be location expressions that use the stack pointer as well. + + Do this conditionally for one frame. This allows the unwind info + for one frame to save a copy of the stack pointer from the previous + frame, and be able to use much easier CFA mechanisms to do it. + Always zap the saved stack pointer value for the next frame; carrying + the value over from one frame to another doesn't make sense. */ + + _Unwind_SpTmp tmp_sp; + + if (!_Unwind_GetGRPtr (&orig_context, __builtin_dwarf_sp_column ())) + _Unwind_SetSpColumn (&orig_context, context->cfa, &tmp_sp); + _Unwind_SetGRPtr (context, __builtin_dwarf_sp_column (), NULL); +#endif + + /* Compute this frame's CFA. */ + switch (fs->regs.cfa_how) + { + case CFA_REG_OFFSET: + cfa = _Unwind_GetPtr (&orig_context, fs->regs.cfa_reg); + cfa += fs->regs.cfa_offset; + break; + + case CFA_EXP: + { + const unsigned char *exp = fs->regs.cfa_exp; + _uleb128_t len; + + exp = read_uleb128 (exp, &len); + cfa = (void *) (_Unwind_Ptr) + execute_stack_op (exp, exp + len, &orig_context, 0); + break; + } + + default: + gcc_unreachable (); + } + context->cfa = cfa; + + /* Compute the addresses of all registers saved in this frame. */ + for (i = 0; i < __LIBGCC_DWARF_FRAME_REGISTERS__ + 1; ++i) + switch (fs->regs.reg[i].how) + { + case REG_UNSAVED: + case REG_UNDEFINED: + break; + + case REG_SAVED_OFFSET: + _Unwind_SetGRPtr (context, i, + (void *) (cfa + fs->regs.reg[i].loc.offset)); + break; + + case REG_SAVED_REG: + if (_Unwind_GRByValue (&orig_context, fs->regs.reg[i].loc.reg)) + _Unwind_SetGRValue (context, i, + _Unwind_GetGR (&orig_context, + fs->regs.reg[i].loc.reg)); + else + _Unwind_SetGRPtr (context, i, + _Unwind_GetGRPtr (&orig_context, + fs->regs.reg[i].loc.reg)); + break; + + case REG_SAVED_EXP: + { + const unsigned char *exp = fs->regs.reg[i].loc.exp; + _uleb128_t len; + _Unwind_Ptr val; + + exp = read_uleb128 (exp, &len); + val = execute_stack_op (exp, exp + len, &orig_context, + (_Unwind_Ptr) cfa); + _Unwind_SetGRPtr (context, i, (void *) val); + } + break; + + case REG_SAVED_VAL_OFFSET: + _Unwind_SetGRValue (context, i, + (_Unwind_Internal_Ptr) + (cfa + fs->regs.reg[i].loc.offset)); + break; + + case REG_SAVED_VAL_EXP: + { + const unsigned char *exp = fs->regs.reg[i].loc.exp; + _uleb128_t len; + _Unwind_Ptr val; + + exp = read_uleb128 (exp, &len); + val = execute_stack_op (exp, exp + len, &orig_context, + (_Unwind_Ptr) cfa); + _Unwind_SetGRValue (context, i, val); + } + break; + } + + _Unwind_SetSignalFrame (context, fs->signal_frame); + +#ifdef MD_FROB_UPDATE_CONTEXT + MD_FROB_UPDATE_CONTEXT (context, fs); +#endif +} + +/* CONTEXT describes the unwind state for a frame, and FS describes the FDE + of its caller. Update CONTEXT to refer to the caller as well. Note + that the args_size and lsda members are not updated here, but later in + uw_frame_state_for. */ + +static void +uw_update_context (struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + uw_update_context_1 (context, fs); + + /* In general this unwinder doesn't make any distinction between + undefined and same_value rule. Call-saved registers are assumed + to have same_value rule by default and explicit undefined + rule is handled like same_value. The only exception is + DW_CFA_undefined on retaddr_column which is supposed to + mark outermost frame in DWARF 3. */ + if (fs->regs.reg[DWARF_REG_TO_UNWIND_COLUMN (fs->retaddr_column)].how + == REG_UNDEFINED) + /* uw_frame_state_for uses context->ra == 0 check to find outermost + stack frame. */ + context->ra = 0; + else + /* Compute the return address now, since the return address column + can change from frame to frame. */ + context->ra = __builtin_extract_return_addr + (_Unwind_GetPtr (context, fs->retaddr_column)); +} + +static void +uw_advance_context (struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + uw_update_context (context, fs); +} + +/* Fill in CONTEXT for top-of-stack. The only valid registers at this + level will be the return address and the CFA. */ + +#define uw_init_context(CONTEXT) \ + do \ + { \ + /* Do any necessary initialization to access arbitrary stack frames. \ + On the SPARC, this means flushing the register windows. */ \ + __builtin_unwind_init (); \ + uw_init_context_1 (CONTEXT, __builtin_dwarf_cfa (), \ + __builtin_return_address (0)); \ + } \ + while (0) + +static inline void +init_dwarf_reg_size_table (void) +{ + __builtin_init_dwarf_reg_size_table (dwarf_reg_size_table); +} + +static void __attribute__((noinline)) +uw_init_context_1 (struct _Unwind_Context *context, + void *outer_cfa, void *outer_ra) +{ + void *ra = __builtin_extract_return_addr (__builtin_return_address (0)); + _Unwind_FrameState fs; + _Unwind_SpTmp sp_slot; + _Unwind_Reason_Code code; + + memset (context, 0, sizeof (struct _Unwind_Context)); + context->ra = ra; + if (!ASSUME_EXTENDED_UNWIND_CONTEXT) + context->flags = EXTENDED_CONTEXT_BIT; + + code = uw_frame_state_for (context, &fs); + gcc_assert (code == _URC_NO_REASON); + +#if __GTHREADS + { + static __gthread_once_t once_regsizes = __GTHREAD_ONCE_INIT; + if (__gthread_once (&once_regsizes, init_dwarf_reg_size_table) != 0 + && dwarf_reg_size_table[0] == 0) + init_dwarf_reg_size_table (); + } +#else + if (dwarf_reg_size_table[0] == 0) + init_dwarf_reg_size_table (); +#endif + + /* Force the frame state to use the known cfa value. */ + _Unwind_SetSpColumn (context, outer_cfa, &sp_slot); + fs.regs.cfa_how = CFA_REG_OFFSET; + fs.regs.cfa_reg = __builtin_dwarf_sp_column (); + fs.regs.cfa_offset = 0; + + uw_update_context_1 (context, &fs); + + /* If the return address column was saved in a register in the + initialization context, then we can't see it in the given + call frame data. So have the initialization context tell us. */ + context->ra = __builtin_extract_return_addr (outer_ra); +} + +static void _Unwind_DebugHook (void *, void *) + __attribute__ ((__noinline__, __used__, __noclone__)); + +/* This function is called during unwinding. It is intended as a hook + for a debugger to intercept exceptions. CFA is the CFA of the + target frame. HANDLER is the PC to which control will be + transferred. */ +static void +_Unwind_DebugHook (void *cfa __attribute__ ((__unused__)), + void *handler __attribute__ ((__unused__))) +{ + /* We only want to use stap probes starting with v3. Earlier + versions added too much startup cost. */ +#if defined (HAVE_SYS_SDT_H) && defined (STAP_PROBE2) && _SDT_NOTE_TYPE >= 3 + STAP_PROBE2 (libgcc, unwind, cfa, handler); +#else + asm (""); +#endif +} + +/* Install TARGET into CURRENT so that we can return to it. This is a + macro because __builtin_eh_return must be invoked in the context of + our caller. */ + +#define uw_install_context(CURRENT, TARGET) \ + do \ + { \ + long offset = uw_install_context_1 ((CURRENT), (TARGET)); \ + void *handler = __builtin_frob_return_addr ((TARGET)->ra); \ + _Unwind_DebugHook ((TARGET)->cfa, handler); \ + __builtin_eh_return (offset, handler); \ + } \ + while (0) + +static long +uw_install_context_1 (struct _Unwind_Context *current, + struct _Unwind_Context *target) +{ + long i; + _Unwind_SpTmp sp_slot; + + /* If the target frame does not have a saved stack pointer, + then set up the target's CFA. */ + if (!_Unwind_GetGRPtr (target, __builtin_dwarf_sp_column ())) + _Unwind_SetSpColumn (target, target->cfa, &sp_slot); + + for (i = 0; i < __LIBGCC_DWARF_FRAME_REGISTERS__; ++i) + { + void *c = (void *) (_Unwind_Internal_Ptr) current->reg[i]; + void *t = (void *) (_Unwind_Internal_Ptr)target->reg[i]; + + gcc_assert (current->by_value[i] == 0); + if (target->by_value[i] && c) + { + _Unwind_Word w; + _Unwind_Ptr p; + if (dwarf_reg_size_table[i] == sizeof (_Unwind_Word)) + { + w = (_Unwind_Internal_Ptr) t; + memcpy (c, &w, sizeof (_Unwind_Word)); + } + else + { + gcc_assert (dwarf_reg_size_table[i] == sizeof (_Unwind_Ptr)); + p = (_Unwind_Internal_Ptr) t; + memcpy (c, &p, sizeof (_Unwind_Ptr)); + } + } + else if (t && c && t != c) + memcpy (c, t, dwarf_reg_size_table[i]); + } + + /* If the current frame doesn't have a saved stack pointer, then we + need to rely on EH_RETURN_STACKADJ_RTX to get our target stack + pointer value reloaded. */ + if (!_Unwind_GetGRPtr (current, __builtin_dwarf_sp_column ())) + { + void *target_cfa; + + target_cfa = _Unwind_GetPtr (target, __builtin_dwarf_sp_column ()); + + /* We adjust SP by the difference between CURRENT and TARGET's CFA. */ + if (__LIBGCC_STACK_GROWS_DOWNWARD__) + return target_cfa - current->cfa + target->args_size; + else + return current->cfa - target_cfa - target->args_size; + } + return 0; +} + +static inline _Unwind_Ptr +uw_identify_context (struct _Unwind_Context *context) +{ + /* The CFA is not sufficient to disambiguate the context of a function + interrupted by a signal before establishing its frame and the context + of the signal itself. */ + if (__LIBGCC_STACK_GROWS_DOWNWARD__) + return _Unwind_GetCFA (context) - _Unwind_IsSignalFrame (context); + else + return _Unwind_GetCFA (context) + _Unwind_IsSignalFrame (context); +} + + +#include "unwind.inc" + +#if defined (USE_GAS_SYMVER) && defined (SHARED) && defined (USE_LIBUNWIND_EXCEPTIONS) +alias (_Unwind_Backtrace); +alias (_Unwind_DeleteException); +alias (_Unwind_FindEnclosingFunction); +alias (_Unwind_ForcedUnwind); +alias (_Unwind_GetDataRelBase); +alias (_Unwind_GetTextRelBase); +alias (_Unwind_GetCFA); +alias (_Unwind_GetGR); +alias (_Unwind_GetIP); +alias (_Unwind_GetLanguageSpecificData); +alias (_Unwind_GetRegionStart); +alias (_Unwind_RaiseException); +alias (_Unwind_Resume); +alias (_Unwind_Resume_or_Rethrow); +alias (_Unwind_SetGR); +alias (_Unwind_SetIP); +#endif + +#endif /* !USING_SJLJ_EXCEPTIONS */ diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-dw2.h b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2.h new file mode 100644 index 0000000000..cbc251ff37 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-dw2.h @@ -0,0 +1,80 @@ +/* DWARF2 frame unwind data structure. + Copyright (C) 1997-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +/* The result of interpreting the frame unwind info for a frame. + This is all symbolic at this point, as none of the values can + be resolved until the target pc is located. */ +typedef struct +{ + /* Each register save state can be described in terms of a CFA slot, + another register, or a location expression. */ + struct frame_state_reg_info + { + struct { + union { + _Unwind_Word reg; + _Unwind_Sword offset; + const unsigned char *exp; + } loc; + enum { + REG_UNSAVED, + REG_SAVED_OFFSET, + REG_SAVED_REG, + REG_SAVED_EXP, + REG_SAVED_VAL_OFFSET, + REG_SAVED_VAL_EXP, + REG_UNDEFINED + } how; + } reg[__LIBGCC_DWARF_FRAME_REGISTERS__+1]; + + /* Used to implement DW_CFA_remember_state. */ + struct frame_state_reg_info *prev; + + /* The CFA can be described in terms of a reg+offset or a + location expression. */ + _Unwind_Sword cfa_offset; + _Unwind_Word cfa_reg; + const unsigned char *cfa_exp; + enum { + CFA_UNSET, + CFA_REG_OFFSET, + CFA_EXP + } cfa_how; + } regs; + + /* The PC described by the current frame state. */ + void *pc; + + /* The information we care about from the CIE/FDE. */ + _Unwind_Personality_Fn personality; + _Unwind_Sword data_align; + _Unwind_Word code_align; + _Unwind_Word retaddr_column; + unsigned char fde_encoding; + unsigned char lsda_encoding; + unsigned char saw_z; + unsigned char signal_frame; + void *eh_ptr; +} _Unwind_FrameState; + diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-generic.h b/contrib/toolchain/gcc/5x/libgcc/unwind-generic.h new file mode 100644 index 0000000000..a51ffd6b6c --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-generic.h @@ -0,0 +1,293 @@ +/* Exception handling and frame unwind runtime interface routines. + Copyright (C) 2001-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +/* This is derived from the C++ ABI for IA-64. Where we diverge + for cross-architecture compatibility are noted with "@@@". */ + +#ifndef _UNWIND_H +#define _UNWIND_H + +#if defined (__SEH__) && !defined (__USING_SJLJ_EXCEPTIONS__) +/* Only for _GCC_specific_handler. */ +#include +#endif + +#ifndef HIDE_EXPORTS +#pragma GCC visibility push(default) +#endif + +#ifdef __cplusplus +extern "C" { +#endif + +/* Level 1: Base ABI */ + +/* @@@ The IA-64 ABI uses uint64 throughout. Most places this is + inefficient for 32-bit and smaller machines. */ +typedef unsigned _Unwind_Word __attribute__((__mode__(__unwind_word__))); +typedef signed _Unwind_Sword __attribute__((__mode__(__unwind_word__))); +#if defined(__ia64__) && defined(__hpux__) +typedef unsigned _Unwind_Ptr __attribute__((__mode__(__word__))); +#else +typedef unsigned _Unwind_Ptr __attribute__((__mode__(__pointer__))); +#endif +typedef unsigned _Unwind_Internal_Ptr __attribute__((__mode__(__pointer__))); + +/* @@@ The IA-64 ABI uses a 64-bit word to identify the producer and + consumer of an exception. We'll go along with this for now even on + 32-bit machines. We'll need to provide some other option for + 16-bit machines and for machines with > 8 bits per byte. */ +typedef unsigned _Unwind_Exception_Class __attribute__((__mode__(__DI__))); + +/* The unwind interface uses reason codes in several contexts to + identify the reasons for failures or other actions. */ +typedef enum +{ + _URC_NO_REASON = 0, + _URC_FOREIGN_EXCEPTION_CAUGHT = 1, + _URC_FATAL_PHASE2_ERROR = 2, + _URC_FATAL_PHASE1_ERROR = 3, + _URC_NORMAL_STOP = 4, + _URC_END_OF_STACK = 5, + _URC_HANDLER_FOUND = 6, + _URC_INSTALL_CONTEXT = 7, + _URC_CONTINUE_UNWIND = 8 +} _Unwind_Reason_Code; + + +/* The unwind interface uses a pointer to an exception header object + as its representation of an exception being thrown. In general, the + full representation of an exception object is language- and + implementation-specific, but it will be prefixed by a header + understood by the unwind interface. */ + +struct _Unwind_Exception; + +typedef void (*_Unwind_Exception_Cleanup_Fn) (_Unwind_Reason_Code, + struct _Unwind_Exception *); + +struct _Unwind_Exception +{ + _Unwind_Exception_Class exception_class; + _Unwind_Exception_Cleanup_Fn exception_cleanup; + +#if !defined (__USING_SJLJ_EXCEPTIONS__) && defined (__SEH__) + _Unwind_Word private_[6]; +#else + _Unwind_Word private_1; + _Unwind_Word private_2; +#endif + + /* @@@ The IA-64 ABI says that this structure must be double-word aligned. + Taking that literally does not make much sense generically. Instead we + provide the maximum alignment required by any type for the machine. */ +} __attribute__((__aligned__)); + + +/* The ACTIONS argument to the personality routine is a bitwise OR of one + or more of the following constants. */ +typedef int _Unwind_Action; + +#define _UA_SEARCH_PHASE 1 +#define _UA_CLEANUP_PHASE 2 +#define _UA_HANDLER_FRAME 4 +#define _UA_FORCE_UNWIND 8 +#define _UA_END_OF_STACK 16 + +/* The target can override this macro to define any back-end-specific + attributes required for the lowest-level stack frame. */ +#ifndef LIBGCC2_UNWIND_ATTRIBUTE +#define LIBGCC2_UNWIND_ATTRIBUTE +#endif + +/* This is an opaque type used to refer to a system-specific data + structure used by the system unwinder. This context is created and + destroyed by the system, and passed to the personality routine + during unwinding. */ +struct _Unwind_Context; + +/* Raise an exception, passing along the given exception object. */ +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_RaiseException (struct _Unwind_Exception *); + +/* Raise an exception for forced unwinding. */ + +typedef _Unwind_Reason_Code (*_Unwind_Stop_Fn) + (int, _Unwind_Action, _Unwind_Exception_Class, + struct _Unwind_Exception *, struct _Unwind_Context *, void *); + +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_ForcedUnwind (struct _Unwind_Exception *, _Unwind_Stop_Fn, void *); + +/* Helper to invoke the exception_cleanup routine. */ +extern void _Unwind_DeleteException (struct _Unwind_Exception *); + +/* Resume propagation of an existing exception. This is used after + e.g. executing cleanup code, and not to implement rethrowing. */ +extern void LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_Resume (struct _Unwind_Exception *); + +/* @@@ Resume propagation of a FORCE_UNWIND exception, or to rethrow + a normal exception that was handled. */ +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_Resume_or_Rethrow (struct _Unwind_Exception *); + +/* @@@ Use unwind data to perform a stack backtrace. The trace callback + is called for every stack frame in the call chain, but no cleanup + actions are performed. */ +typedef _Unwind_Reason_Code (*_Unwind_Trace_Fn) + (struct _Unwind_Context *, void *); + +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_Backtrace (_Unwind_Trace_Fn, void *); + +/* These functions are used for communicating information about the unwind + context (i.e. the unwind descriptors and the user register state) between + the unwind library and the personality routine and landing pad. Only + selected registers may be manipulated. */ + +extern _Unwind_Word _Unwind_GetGR (struct _Unwind_Context *, int); +extern void _Unwind_SetGR (struct _Unwind_Context *, int, _Unwind_Word); + +extern _Unwind_Ptr _Unwind_GetIP (struct _Unwind_Context *); +extern _Unwind_Ptr _Unwind_GetIPInfo (struct _Unwind_Context *, int *); +extern void _Unwind_SetIP (struct _Unwind_Context *, _Unwind_Ptr); + +/* @@@ Retrieve the CFA of the given context. */ +extern _Unwind_Word _Unwind_GetCFA (struct _Unwind_Context *); + +extern void *_Unwind_GetLanguageSpecificData (struct _Unwind_Context *); + +extern _Unwind_Ptr _Unwind_GetRegionStart (struct _Unwind_Context *); + + +/* The personality routine is the function in the C++ (or other language) + runtime library which serves as an interface between the system unwind + library and language-specific exception handling semantics. It is + specific to the code fragment described by an unwind info block, and + it is always referenced via the pointer in the unwind info block, and + hence it has no ABI-specified name. + + Note that this implies that two different C++ implementations can + use different names, and have different contents in the language + specific data area. Moreover, that the language specific data + area contains no version info because name of the function invoked + provides more effective versioning by detecting at link time the + lack of code to handle the different data format. */ + +typedef _Unwind_Reason_Code (*_Unwind_Personality_Fn) + (int, _Unwind_Action, _Unwind_Exception_Class, + struct _Unwind_Exception *, struct _Unwind_Context *); + +/* @@@ The following alternate entry points are for setjmp/longjmp + based unwinding. */ + +struct SjLj_Function_Context; +extern void _Unwind_SjLj_Register (struct SjLj_Function_Context *); +extern void _Unwind_SjLj_Unregister (struct SjLj_Function_Context *); + +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_SjLj_RaiseException (struct _Unwind_Exception *); +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_SjLj_ForcedUnwind (struct _Unwind_Exception *, _Unwind_Stop_Fn, void *); +extern void LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_SjLj_Resume (struct _Unwind_Exception *); +extern _Unwind_Reason_Code LIBGCC2_UNWIND_ATTRIBUTE +_Unwind_SjLj_Resume_or_Rethrow (struct _Unwind_Exception *); + +/* @@@ The following provide access to the base addresses for text + and data-relative addressing in the LDSA. In order to stay link + compatible with the standard ABI for IA-64, we inline these. */ + +#ifdef __ia64__ +#include + +static inline _Unwind_Ptr +_Unwind_GetDataRelBase (struct _Unwind_Context *_C) +{ + /* The GP is stored in R1. */ + return _Unwind_GetGR (_C, 1); +} + +static inline _Unwind_Ptr +_Unwind_GetTextRelBase (struct _Unwind_Context *_C __attribute__ ((__unused__))) +{ + abort (); + return 0; +} + +/* @@@ Retrieve the Backing Store Pointer of the given context. */ +extern _Unwind_Word _Unwind_GetBSP (struct _Unwind_Context *); +#else +extern _Unwind_Ptr _Unwind_GetDataRelBase (struct _Unwind_Context *); +extern _Unwind_Ptr _Unwind_GetTextRelBase (struct _Unwind_Context *); +#endif + +/* @@@ Given an address, return the entry point of the function that + contains it. */ +extern void * _Unwind_FindEnclosingFunction (void *pc); + +#ifndef __SIZEOF_LONG__ + #error "__SIZEOF_LONG__ macro not defined" +#endif + +#ifndef __SIZEOF_POINTER__ + #error "__SIZEOF_POINTER__ macro not defined" +#endif + + +/* leb128 type numbers have a potentially unlimited size. + The target of the following definitions of _sleb128_t and _uleb128_t + is to have efficient data types large enough to hold the leb128 type + numbers used in the unwind code. + Mostly these types will simply be defined to long and unsigned long + except when a unsigned long data type on the target machine is not + capable of storing a pointer. */ + +#if __SIZEOF_LONG__ >= __SIZEOF_POINTER__ + typedef long _sleb128_t; + typedef unsigned long _uleb128_t; +#elif __SIZEOF_LONG_LONG__ >= __SIZEOF_POINTER__ + typedef long long _sleb128_t; + typedef unsigned long long _uleb128_t; +#else +# error "What type shall we use for _sleb128_t?" +#endif + +#if defined (__SEH__) && !defined (__USING_SJLJ_EXCEPTIONS__) +/* Handles the mapping from SEH to GCC interfaces. */ +EXCEPTION_DISPOSITION _GCC_specific_handler (PEXCEPTION_RECORD, void *, + PCONTEXT, PDISPATCHER_CONTEXT, + _Unwind_Personality_Fn); +#endif + +#ifdef __cplusplus +} +#endif + +#ifndef HIDE_EXPORTS +#pragma GCC visibility pop +#endif + +#endif /* unwind.h */ diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-pe.h b/contrib/toolchain/gcc/5x/libgcc/unwind-pe.h new file mode 100644 index 0000000000..325c7bdeaa --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-pe.h @@ -0,0 +1,289 @@ +/* Exception handling and frame unwind runtime interface routines. + Copyright (C) 2001-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +/* @@@ Really this should be out of line, but this also causes link + compatibility problems with the base ABI. This is slightly better + than duplicating code, however. */ + +#ifndef GCC_UNWIND_PE_H +#define GCC_UNWIND_PE_H + +/* If using C++, references to abort have to be qualified with std::. */ +#if __cplusplus +#define __gxx_abort std::abort +#else +#define __gxx_abort abort +#endif + +/* Pointer encodings, from dwarf2.h. */ +#define DW_EH_PE_absptr 0x00 +#define DW_EH_PE_omit 0xff + +#define DW_EH_PE_uleb128 0x01 +#define DW_EH_PE_udata2 0x02 +#define DW_EH_PE_udata4 0x03 +#define DW_EH_PE_udata8 0x04 +#define DW_EH_PE_sleb128 0x09 +#define DW_EH_PE_sdata2 0x0A +#define DW_EH_PE_sdata4 0x0B +#define DW_EH_PE_sdata8 0x0C +#define DW_EH_PE_signed 0x08 + +#define DW_EH_PE_pcrel 0x10 +#define DW_EH_PE_textrel 0x20 +#define DW_EH_PE_datarel 0x30 +#define DW_EH_PE_funcrel 0x40 +#define DW_EH_PE_aligned 0x50 + +#define DW_EH_PE_indirect 0x80 + + +#ifndef NO_SIZE_OF_ENCODED_VALUE + +/* Given an encoding, return the number of bytes the format occupies. + This is only defined for fixed-size encodings, and so does not + include leb128. */ + +static unsigned int +size_of_encoded_value (unsigned char encoding) __attribute__ ((unused)); + +static unsigned int +size_of_encoded_value (unsigned char encoding) +{ + if (encoding == DW_EH_PE_omit) + return 0; + + switch (encoding & 0x07) + { + case DW_EH_PE_absptr: + return sizeof (void *); + case DW_EH_PE_udata2: + return 2; + case DW_EH_PE_udata4: + return 4; + case DW_EH_PE_udata8: + return 8; + } + __gxx_abort (); +} + +#endif + +#ifndef NO_BASE_OF_ENCODED_VALUE + +/* Given an encoding and an _Unwind_Context, return the base to which + the encoding is relative. This base may then be passed to + read_encoded_value_with_base for use when the _Unwind_Context is + not available. */ + +static _Unwind_Ptr +base_of_encoded_value (unsigned char encoding, struct _Unwind_Context *context) +{ + if (encoding == DW_EH_PE_omit) + return 0; + + switch (encoding & 0x70) + { + case DW_EH_PE_absptr: + case DW_EH_PE_pcrel: + case DW_EH_PE_aligned: + return 0; + + case DW_EH_PE_textrel: + return _Unwind_GetTextRelBase (context); + case DW_EH_PE_datarel: + return _Unwind_GetDataRelBase (context); + case DW_EH_PE_funcrel: + return _Unwind_GetRegionStart (context); + } + __gxx_abort (); +} + +#endif + +/* Read an unsigned leb128 value from P, store the value in VAL, return + P incremented past the value. We assume that a word is large enough to + hold any value so encoded; if it is smaller than a pointer on some target, + pointers should not be leb128 encoded on that target. */ + +static const unsigned char * +read_uleb128 (const unsigned char *p, _uleb128_t *val) +{ + unsigned int shift = 0; + unsigned char byte; + _uleb128_t result; + + result = 0; + do + { + byte = *p++; + result |= ((_uleb128_t)byte & 0x7f) << shift; + shift += 7; + } + while (byte & 0x80); + + *val = result; + return p; +} + +/* Similar, but read a signed leb128 value. */ + +static const unsigned char * +read_sleb128 (const unsigned char *p, _sleb128_t *val) +{ + unsigned int shift = 0; + unsigned char byte; + _uleb128_t result; + + result = 0; + do + { + byte = *p++; + result |= ((_uleb128_t)byte & 0x7f) << shift; + shift += 7; + } + while (byte & 0x80); + + /* Sign-extend a negative value. */ + if (shift < 8 * sizeof(result) && (byte & 0x40) != 0) + result |= -(((_uleb128_t)1L) << shift); + + *val = (_sleb128_t) result; + return p; +} + +/* Load an encoded value from memory at P. The value is returned in VAL; + The function returns P incremented past the value. BASE is as given + by base_of_encoded_value for this encoding in the appropriate context. */ + +static const unsigned char * +read_encoded_value_with_base (unsigned char encoding, _Unwind_Ptr base, + const unsigned char *p, _Unwind_Ptr *val) +{ + union unaligned + { + void *ptr; + unsigned u2 __attribute__ ((mode (HI))); + unsigned u4 __attribute__ ((mode (SI))); + unsigned u8 __attribute__ ((mode (DI))); + signed s2 __attribute__ ((mode (HI))); + signed s4 __attribute__ ((mode (SI))); + signed s8 __attribute__ ((mode (DI))); + } __attribute__((__packed__)); + + const union unaligned *u = (const union unaligned *) p; + _Unwind_Internal_Ptr result; + + if (encoding == DW_EH_PE_aligned) + { + _Unwind_Internal_Ptr a = (_Unwind_Internal_Ptr) p; + a = (a + sizeof (void *) - 1) & - sizeof(void *); + result = *(_Unwind_Internal_Ptr *) a; + p = (const unsigned char *) (_Unwind_Internal_Ptr) (a + sizeof (void *)); + } + else + { + switch (encoding & 0x0f) + { + case DW_EH_PE_absptr: + result = (_Unwind_Internal_Ptr) u->ptr; + p += sizeof (void *); + break; + + case DW_EH_PE_uleb128: + { + _uleb128_t tmp; + p = read_uleb128 (p, &tmp); + result = (_Unwind_Internal_Ptr) tmp; + } + break; + + case DW_EH_PE_sleb128: + { + _sleb128_t tmp; + p = read_sleb128 (p, &tmp); + result = (_Unwind_Internal_Ptr) tmp; + } + break; + + case DW_EH_PE_udata2: + result = u->u2; + p += 2; + break; + case DW_EH_PE_udata4: + result = u->u4; + p += 4; + break; + case DW_EH_PE_udata8: + result = u->u8; + p += 8; + break; + + case DW_EH_PE_sdata2: + result = u->s2; + p += 2; + break; + case DW_EH_PE_sdata4: + result = u->s4; + p += 4; + break; + case DW_EH_PE_sdata8: + result = u->s8; + p += 8; + break; + + default: + __gxx_abort (); + } + + if (result != 0) + { + result += ((encoding & 0x70) == DW_EH_PE_pcrel + ? (_Unwind_Internal_Ptr) u : base); + if (encoding & DW_EH_PE_indirect) + result = *(_Unwind_Internal_Ptr *) result; + } + } + + *val = result; + return p; +} + +#ifndef NO_BASE_OF_ENCODED_VALUE + +/* Like read_encoded_value_with_base, but get the base from the context + rather than providing it directly. */ + +static inline const unsigned char * +read_encoded_value (struct _Unwind_Context *context, unsigned char encoding, + const unsigned char *p, _Unwind_Ptr *val) +{ + return read_encoded_value_with_base (encoding, + base_of_encoded_value (encoding, context), + p, val); +} + +#endif + +#endif /* unwind-pe.h */ diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-seh.c b/contrib/toolchain/gcc/5x/libgcc/unwind-seh.c new file mode 100644 index 0000000000..ba12ecf9ea --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-seh.c @@ -0,0 +1,478 @@ +/* Structured Exception Handling (SEH) runtime interface routines. + Copyright (C) 2010-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "unwind.h" + +#if defined (__SEH__) && !defined (__USING_SJLJ_EXCEPTIONS__) + +/* At the moment everything is written for x64, but in theory this could + also be used for i386, arm, mips and other extant embedded Windows. */ +#ifndef __x86_64__ +#error "Unsupported architecture." +#endif + +/* Define GCC's exception codes. See + http://msdn.microsoft.com/en-us/library/het71c37(v=VS.80).aspx + In particular, MS defines bits: + [31:30] = 3 (error), 2 (warning), 1 (info), 0 (success) + [29] = 1 (user-defined) + [28] = 0 (reserved) + We define bits: + [24:27] = type + [0:23] = magic + We set "magic" to "GCC", which is similar to MVC++ which uses "msc" + as the low 3 bytes of its user-defined codes for C++ exceptions. + + We define the ExceptionInformation entries as follows: + [0] = _Unwind_Exception pointer + [1] = target frame + [2] = target ip + [3] = target rdx +*/ + +#define STATUS_USER_DEFINED (1U << 29) + +#define GCC_MAGIC (('G' << 16) | ('C' << 8) | 'C') +#define GCC_EXCEPTION(TYPE) \ + (STATUS_USER_DEFINED | ((TYPE) << 24) | GCC_MAGIC) + +#define STATUS_GCC_THROW GCC_EXCEPTION (0) +#define STATUS_GCC_UNWIND GCC_EXCEPTION (1) +#define STATUS_GCC_FORCED GCC_EXCEPTION (2) + + +struct _Unwind_Context +{ + _Unwind_Word cfa; + _Unwind_Word ra; + _Unwind_Word reg[2]; + PDISPATCHER_CONTEXT disp; +}; + +/* Get the value of register INDEX as saved in CONTEXT. */ + +_Unwind_Word +_Unwind_GetGR (struct _Unwind_Context *c, int index) +{ + if (index < 0 || index >= 2) + abort (); + return c->reg[index]; +} + +/* Overwrite the saved value for register INDEX in CONTEXT with VAL. */ + +void +_Unwind_SetGR (struct _Unwind_Context *c, int index, _Unwind_Word val) +{ + if (index < 0 || index >= 2) + abort (); + c->reg[index] = val; +} + +/* Get the value of the CFA as saved in CONTEXT. */ + +_Unwind_Word +_Unwind_GetCFA (struct _Unwind_Context *c) +{ + return c->cfa; +} + +/* Retrieve the return address for CONTEXT. */ + +_Unwind_Ptr +_Unwind_GetIP (struct _Unwind_Context *c) +{ + return c->ra; +} + +/* Retrieve the return address and flag whether that IP is before + or after first not yet fully executed instruction. */ + +_Unwind_Ptr +_Unwind_GetIPInfo (struct _Unwind_Context *c, int *ip_before_insn) +{ + /* ??? Is there a concept of a signal context properly? There's + obviously an UNWP_PUSH_MACHFRAME opcode, but the runtime might + have arranged for that not to matter, really. */ + *ip_before_insn = 0; + return c->ra; +} + +/* Overwrite the return address for CONTEXT with VAL. */ + +void +_Unwind_SetIP (struct _Unwind_Context *c, _Unwind_Ptr val) +{ + c->ra = val; +} + +void * +_Unwind_GetLanguageSpecificData (struct _Unwind_Context *c) +{ + return c->disp->HandlerData; +} + +_Unwind_Ptr +_Unwind_GetRegionStart (struct _Unwind_Context *c) +{ + return c->disp->FunctionEntry->BeginAddress + c->disp->ImageBase; +} + +void * +_Unwind_FindEnclosingFunction (void *pc) +{ + PRUNTIME_FUNCTION entry; + ULONG64 ImageBase; + + entry = RtlLookupFunctionEntry ((ULONG64)pc, &ImageBase, NULL); + + return (entry ? (void *)(entry->BeginAddress + ImageBase) : NULL); +} + +_Unwind_Ptr +_Unwind_GetDataRelBase (struct _Unwind_Context *c ATTRIBUTE_UNUSED) +{ + return 0; +} + +_Unwind_Ptr +_Unwind_GetTextRelBase (struct _Unwind_Context *c) +{ + return c->disp->ImageBase; +} + + +/* The two-phase unwind process that GCC uses is ordered differently + from the two-phase unwind process that SEH uses. The mechansism + that GCC uses is to have the filter return _URC_HANDER_FOUND; the + mechanism that SEH uses is for the filter function call back into + the unwinder. + + An Ideal port to SEH would have GCC emit handler functions that + can be called, given a pointer to the "EstablisherFrame" (i.e. + the frame pointer base of the user-level function) can manipulate + the user-level variables within the user-level function's stack + frame. Once done manipulating the variables, it would return + a ExceptionContinueSearch, and the unwind process would continue. + + GCC has always done things a bit differently. We continue to + transfer control back into the user-level function which, once + done manipulating the user-level variables, re-throws the exception. */ + +/* The "real" language-specific personality handler forwards to here + where we handle the MS SEH state and transforms it into the GCC + unwind state as per GCC's , at which point we defer to + the regular language-specfic exception handler, which is passed in. */ + +EXCEPTION_DISPOSITION +_GCC_specific_handler (PEXCEPTION_RECORD ms_exc, void *this_frame, + PCONTEXT ms_orig_context, PDISPATCHER_CONTEXT ms_disp, + _Unwind_Personality_Fn gcc_per) +{ + DWORD ms_flags = ms_exc->ExceptionFlags; + DWORD ms_code = ms_exc->ExceptionCode; + + struct _Unwind_Exception *gcc_exc + = (struct _Unwind_Exception *) ms_exc->ExceptionInformation[0]; + struct _Unwind_Context gcc_context; + _Unwind_Action gcc_action; + _Unwind_Reason_Code gcc_reason; + + if (ms_flags & EXCEPTION_TARGET_UNWIND) + { + /* This frame is known to be the target frame. We've already + "installed" the target_ip and RAX value via the arguments + to RtlUnwindEx. All that's left is to set the RDX value + and "continue" to have the context installed. */ + ms_disp->ContextRecord->Rdx = ms_exc->ExceptionInformation[3]; + return ExceptionContinueSearch; + } + + if (ms_code == STATUS_GCC_UNWIND) + { + /* This is a colliding exception that we threw so that we could + cancel the already in-flight exception and stop in a frame + that wanted to perform some unwind action. The only relevant + test is that we're the target frame. */ + if (ms_exc->ExceptionInformation[1] == (_Unwind_Ptr) this_frame) + { + RtlUnwindEx (this_frame, ms_exc->ExceptionInformation[2], + ms_exc, gcc_exc, ms_orig_context, + ms_disp->HistoryTable); + abort (); + } + return ExceptionContinueSearch; + } + + gcc_context.cfa = ms_disp->ContextRecord->Rsp; + gcc_context.ra = ms_disp->ControlPc; + gcc_context.reg[0] = 0xdeadbeef; /* These are write-only. */ + gcc_context.reg[1] = 0xdeadbeef; + gcc_context.disp = ms_disp; + + if (ms_code == STATUS_GCC_FORCED) + { + _Unwind_Stop_Fn stop = (_Unwind_Stop_Fn) gcc_exc->private_[0]; + void *stop_argument = (void *) gcc_exc->private_[4]; + + gcc_action = _UA_FORCE_UNWIND | _UA_CLEANUP_PHASE; + + stop (1, gcc_action, gcc_exc->exception_class, gcc_exc, + &gcc_context, stop_argument); + + goto phase2; + } + + /* ??? TODO: handling non-gcc user-defined exceptions as foreign. */ + if (ms_code != STATUS_GCC_THROW) + return ExceptionContinueSearch; + + if (ms_flags & (EXCEPTION_UNWINDING | EXCEPTION_EXIT_UNWIND)) + { + /* This is Phase 2. */ + /* We know this isn't the target frame because we've already tested + EXCEPTION_TARGET_UNWIND. The remaining possibility is that the + gcc personality has unwind code to run. */ + + gcc_action = _UA_CLEANUP_PHASE; + phase2: + gcc_reason = gcc_per (1, gcc_action, gcc_exc->exception_class, + gcc_exc, &gcc_context); + + if (gcc_reason == _URC_CONTINUE_UNWIND) + return ExceptionContinueSearch; + + if (gcc_reason == _URC_INSTALL_CONTEXT) + { + /* Scratch space for the bits for the unwind catch. */ + ms_exc->ExceptionInformation[1] = (_Unwind_Ptr) this_frame; + ms_exc->ExceptionInformation[2] = gcc_context.ra; + ms_exc->ExceptionInformation[3] = gcc_context.reg[1]; + + /* Cancel the current exception by raising another. */ + RaiseException (STATUS_GCC_UNWIND, EXCEPTION_NONCONTINUABLE, + 4, ms_exc->ExceptionInformation); + + /* Is RaiseException declared noreturn? */ + } + + /* In _Unwind_RaiseException_Phase2 we return _URC_FATAL_PHASE2_ERROR. */ + } + else + { + /* This is Phase 1. */ + gcc_reason = gcc_per (1, _UA_SEARCH_PHASE, gcc_exc->exception_class, + gcc_exc, &gcc_context); + + if (gcc_reason == _URC_CONTINUE_UNWIND) + return ExceptionContinueSearch; + + if (gcc_reason == _URC_HANDLER_FOUND) + { + /* We really need some of the information that GCC's personality + routines compute during phase 2 right now, like the target IP. + Go ahead and ask for it now, and cache it. */ + gcc_reason = gcc_per (1, _UA_CLEANUP_PHASE | _UA_HANDLER_FRAME, + gcc_exc->exception_class, gcc_exc, + &gcc_context); + if (gcc_reason != _URC_INSTALL_CONTEXT) + abort (); + + gcc_exc->private_[1] = (_Unwind_Ptr) this_frame; + gcc_exc->private_[2] = gcc_context.ra; + gcc_exc->private_[3] = gcc_context.reg[1]; + + ms_exc->NumberParameters = 4; + ms_exc->ExceptionInformation[1] = (_Unwind_Ptr) this_frame; + ms_exc->ExceptionInformation[2] = gcc_context.ra; + ms_exc->ExceptionInformation[3] = gcc_context.reg[1]; + + /* Begin phase 2. Perform the unwinding. */ + RtlUnwindEx (this_frame, gcc_context.ra, ms_exc, + (PVOID)gcc_context.reg[0], ms_orig_context, + ms_disp->HistoryTable); + } + + /* In _Unwind_RaiseException we return _URC_FATAL_PHASE1_ERROR. */ + } + abort (); +} + +/* Raise an exception, passing along the given exception object. */ + +_Unwind_Reason_Code +_Unwind_RaiseException (struct _Unwind_Exception *exc) +{ + memset (exc->private_, 0, sizeof (exc->private_)); + + /* The ExceptionInformation array will have only 1 element, EXC. */ + RaiseException (STATUS_GCC_THROW, 0, 1, (ULONG_PTR *)&exc); + + /* The exception handler installed in crt0 will continue any GCC + exception that reaches there (and isn't marked non-continuable). + Returning allows the C++ runtime to call std::terminate. */ + return _URC_END_OF_STACK; +} + +/* Resume propagation of an existing exception. This is used after + e.g. executing cleanup code, and not to implement rethrowing. */ + +void +_Unwind_Resume (struct _Unwind_Exception *gcc_exc) +{ + UNWIND_HISTORY_TABLE ms_history; + EXCEPTION_RECORD ms_exc; + CONTEXT ms_context; + + memset (&ms_exc, 0, sizeof(ms_exc)); + memset (&ms_history, 0, sizeof(ms_history)); + + /* ??? Not 100% perfect, since we aren't passing on the *original* + exception context, but should be good enough. */ + ms_exc.ExceptionCode = STATUS_GCC_THROW; + ms_exc.ExceptionFlags = EXCEPTION_NONCONTINUABLE; + ms_exc.NumberParameters = 4; + ms_exc.ExceptionInformation[0] = (ULONG_PTR) gcc_exc; + ms_exc.ExceptionInformation[1] = gcc_exc->private_[1]; + ms_exc.ExceptionInformation[2] = gcc_exc->private_[2]; + ms_exc.ExceptionInformation[3] = gcc_exc->private_[3]; + + ms_context.ContextFlags = CONTEXT_ALL; + RtlCaptureContext (&ms_context); + + RtlUnwindEx ((void *) gcc_exc->private_[1], gcc_exc->private_[2], + &ms_exc, gcc_exc, &ms_context, &ms_history); + + /* Is RtlUnwindEx declared noreturn? */ + abort (); +} + +static _Unwind_Reason_Code +_Unwind_ForcedUnwind_Phase2 (struct _Unwind_Exception *exc) +{ + _Unwind_Stop_Fn stop; + void * stop_argument; + + RaiseException (STATUS_GCC_FORCED, 0, 1, (ULONG_PTR *)&exc); + + /* If we get here, we got to top-of-stack. */ + /* ??? We no longer have a context pointer to pass in. */ + + stop = (_Unwind_Stop_Fn) exc->private_[0]; + stop_argument = (void *) exc->private_[4]; + stop (1, _UA_FORCE_UNWIND | _UA_CLEANUP_PHASE | _UA_END_OF_STACK, + exc->exception_class, exc, NULL, stop_argument); + + return _UA_END_OF_STACK; +} + +_Unwind_Reason_Code +_Unwind_Resume_or_Rethrow (struct _Unwind_Exception *exc) +{ + if (exc->private_[0] == 0) + _Unwind_RaiseException (exc); + else + _Unwind_ForcedUnwind_Phase2 (exc); + abort (); +} + +/* Raise an exception for forced unwinding. */ + +_Unwind_Reason_Code +_Unwind_ForcedUnwind (struct _Unwind_Exception *exc, + _Unwind_Stop_Fn stop, void * stop_argument) +{ + /* ??? This is a hack that only works with _GCC_specific_handler. + There's no way to invoke STOP within frames that use a different + exception handler. This is essentially just good enough to run + the code within the gcc testsuite. */ + + memset (exc->private_, 0, sizeof (exc->private_)); + exc->private_[0] = (_Unwind_Ptr) stop; + exc->private_[4] = (_Unwind_Ptr) stop_argument; + + return _Unwind_ForcedUnwind_Phase2 (exc); +} + +/* A convenience function that calls the exception_cleanup field. */ + +void +_Unwind_DeleteException (struct _Unwind_Exception *exc) +{ + if (exc->exception_cleanup) + (*exc->exception_cleanup) (_URC_FOREIGN_EXCEPTION_CAUGHT, exc); +} + +/* Perform stack backtrace through unwind data. */ + +_Unwind_Reason_Code +_Unwind_Backtrace(_Unwind_Trace_Fn trace, + void *trace_argument) +{ + UNWIND_HISTORY_TABLE ms_history; + CONTEXT ms_context; + struct _Unwind_Context gcc_context; + DISPATCHER_CONTEXT disp_context; + + memset (&ms_history, 0, sizeof(ms_history)); + memset (&gcc_context, 0, sizeof(gcc_context)); + memset (&disp_context, 0, sizeof(disp_context)); + + ms_context.ContextFlags = CONTEXT_ALL; + RtlCaptureContext (&ms_context); + + gcc_context.disp = &disp_context; + gcc_context.disp->ContextRecord = &ms_context; + gcc_context.disp->HistoryTable = &ms_history; + + while (1) + { + gcc_context.disp->ControlPc = ms_context.Rip; + gcc_context.disp->FunctionEntry + = RtlLookupFunctionEntry (ms_context.Rip, &gcc_context.disp->ImageBase, + &ms_history); + + if (!gcc_context.disp->FunctionEntry) + return _URC_END_OF_STACK; + + gcc_context.disp->LanguageHandler + = RtlVirtualUnwind (0, gcc_context.disp->ImageBase, ms_context.Rip, + gcc_context.disp->FunctionEntry, &ms_context, + &gcc_context.disp->HandlerData, + &gcc_context.disp->EstablisherFrame, NULL); + + /* Call trace function. */ + if (trace (&gcc_context, trace_argument) != _URC_NO_REASON) + return _URC_FATAL_PHASE1_ERROR; + + /* ??? Check for invalid stack pointer. */ + if (ms_context.Rip == 0) + return _URC_END_OF_STACK; + } +} +#endif /* __SEH__ && !defined (__USING_SJLJ_EXCEPTIONS__) */ diff --git a/contrib/toolchain/gcc/5x/libgcc/unwind-sjlj.c b/contrib/toolchain/gcc/5x/libgcc/unwind-sjlj.c new file mode 100644 index 0000000000..533eea4b15 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/unwind-sjlj.c @@ -0,0 +1,326 @@ +/* SJLJ exception handling and frame unwind runtime interface routines. + Copyright (C) 1997-2015 Free Software Foundation, Inc. + + This file is part of GCC. + + GCC is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3, or (at your option) + any later version. + + GCC is distributed in the hope that it will be useful, but WITHOUT + ANY WARRANTY; without even the implied warranty of MERCHANTABILITY + or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public + License for more details. + + Under Section 7 of GPL version 3, you are granted additional + permissions described in the GCC Runtime Library Exception, version + 3.1, as published by the Free Software Foundation. + + You should have received a copy of the GNU General Public License and + a copy of the GCC Runtime Library Exception along with this program; + see the files COPYING3 and COPYING.RUNTIME respectively. If not, see + . */ + +#include "tconfig.h" +#include "tsystem.h" +#include "coretypes.h" +#include "tm.h" +#include "libgcc_tm.h" +#include "unwind.h" +#include "gthr.h" + +#ifdef __USING_SJLJ_EXCEPTIONS__ + +#ifdef __LIBGCC_DONT_USE_BUILTIN_SETJMP__ +#ifndef inhibit_libc +#include +#else +typedef void *jmp_buf[__LIBGCC_JMP_BUF_SIZE__]; +extern void longjmp(jmp_buf, int) __attribute__((noreturn)); +#endif +#else +#define longjmp __builtin_longjmp +#endif + +/* The setjmp side is dealt with in the except.c file. */ +#undef setjmp +#define setjmp setjmp_should_not_be_used_in_this_file + + +/* This structure is allocated on the stack of the target function. + This must match the definition created in except.c:init_eh. */ +struct SjLj_Function_Context +{ + /* This is the chain through all registered contexts. It is + filled in by _Unwind_SjLj_Register. */ + struct SjLj_Function_Context *prev; + + /* This is assigned in by the target function before every call + to the index of the call site in the lsda. It is assigned by + the personality routine to the landing pad index. */ + int call_site; + + /* This is how data is returned from the personality routine to + the target function's handler. */ + _Unwind_Word data[4]; + + /* These are filled in once by the target function before any + exceptions are expected to be handled. */ + _Unwind_Personality_Fn personality; + void *lsda; + +#ifdef __LIBGCC_DONT_USE_BUILTIN_SETJMP__ + /* We don't know what sort of alignment requirements the system + jmp_buf has. We over estimated in except.c, and now we have + to match that here just in case the system *didn't* have more + restrictive requirements. */ + jmp_buf jbuf __attribute__((aligned)); +#else + void *jbuf[]; +#endif +}; + +struct _Unwind_Context +{ + struct SjLj_Function_Context *fc; +}; + +typedef struct +{ + _Unwind_Personality_Fn personality; +} _Unwind_FrameState; + + +/* Manage the chain of registered function contexts. */ + +/* Single threaded fallback chain. */ +static struct SjLj_Function_Context *fc_static; + +#if __GTHREADS +static __gthread_key_t fc_key; +static int use_fc_key = -1; + +static void +fc_key_init (void) +{ + use_fc_key = __gthread_key_create (&fc_key, 0) == 0; +} + +static void +fc_key_init_once (void) +{ + static __gthread_once_t once = __GTHREAD_ONCE_INIT; + if (__gthread_once (&once, fc_key_init) != 0 || use_fc_key < 0) + use_fc_key = 0; +} +#endif + +void +_Unwind_SjLj_Register (struct SjLj_Function_Context *fc) +{ +#if __GTHREADS + if (use_fc_key < 0) + fc_key_init_once (); + + if (use_fc_key) + { + fc->prev = __gthread_getspecific (fc_key); + __gthread_setspecific (fc_key, fc); + } + else +#endif + { + fc->prev = fc_static; + fc_static = fc; + } +} + +static inline struct SjLj_Function_Context * +_Unwind_SjLj_GetContext (void) +{ +#if __GTHREADS + if (use_fc_key < 0) + fc_key_init_once (); + + if (use_fc_key) + return __gthread_getspecific (fc_key); +#endif + return fc_static; +} + +static inline void +_Unwind_SjLj_SetContext (struct SjLj_Function_Context *fc) +{ +#if __GTHREADS + if (use_fc_key < 0) + fc_key_init_once (); + + if (use_fc_key) + __gthread_setspecific (fc_key, fc); + else +#endif + fc_static = fc; +} + +void +_Unwind_SjLj_Unregister (struct SjLj_Function_Context *fc) +{ + _Unwind_SjLj_SetContext (fc->prev); +} + + +/* Get/set the return data value at INDEX in CONTEXT. */ + +_Unwind_Word +_Unwind_GetGR (struct _Unwind_Context *context, int index) +{ + return context->fc->data[index]; +} + +/* Get the value of the CFA as saved in CONTEXT. */ + +_Unwind_Word +_Unwind_GetCFA (struct _Unwind_Context *context __attribute__((unused))) +{ + /* ??? Ideally __builtin_setjmp places the CFA in the jmpbuf. */ + +#ifndef __LIBGCC_DONT_USE_BUILTIN_SETJMP__ + /* This is a crude imitation of the CFA: the saved stack pointer. + This is roughly the CFA of the frame before CONTEXT. When using the + DWARF-2 unwinder _Unwind_GetCFA returns the CFA of the frame described + by CONTEXT instead; but for DWARF-2 the cleanups associated with + CONTEXT have already been run, and for SJLJ they have not yet been. */ + if (context->fc != NULL) + return (_Unwind_Word) context->fc->jbuf[2]; +#endif + + /* Otherwise we're out of luck for now. */ + return (_Unwind_Word) 0; +} + +void +_Unwind_SetGR (struct _Unwind_Context *context, int index, _Unwind_Word val) +{ + context->fc->data[index] = val; +} + +/* Get the call-site index as saved in CONTEXT. */ + +_Unwind_Ptr +_Unwind_GetIP (struct _Unwind_Context *context) +{ + return context->fc->call_site + 1; +} + +_Unwind_Ptr +_Unwind_GetIPInfo (struct _Unwind_Context *context, int *ip_before_insn) +{ + *ip_before_insn = 0; + if (context->fc != NULL) + return context->fc->call_site + 1; + else + return 0; +} + +/* Set the return landing pad index in CONTEXT. */ + +void +_Unwind_SetIP (struct _Unwind_Context *context, _Unwind_Ptr val) +{ + context->fc->call_site = val - 1; +} + +void * +_Unwind_GetLanguageSpecificData (struct _Unwind_Context *context) +{ + return context->fc->lsda; +} + +_Unwind_Ptr +_Unwind_GetRegionStart (struct _Unwind_Context *context __attribute__((unused)) ) +{ + return 0; +} + +void * +_Unwind_FindEnclosingFunction (void *pc __attribute__((unused))) +{ + return NULL; +} + +#ifndef __ia64__ +_Unwind_Ptr +_Unwind_GetDataRelBase (struct _Unwind_Context *context __attribute__((unused)) ) +{ + return 0; +} + +_Unwind_Ptr +_Unwind_GetTextRelBase (struct _Unwind_Context *context __attribute__((unused)) ) +{ + return 0; +} +#endif + +static inline _Unwind_Reason_Code +uw_frame_state_for (struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + if (context->fc == NULL) + { + fs->personality = NULL; + return _URC_END_OF_STACK; + } + else + { + fs->personality = context->fc->personality; + return _URC_NO_REASON; + } +} + +static inline void +uw_update_context (struct _Unwind_Context *context, + _Unwind_FrameState *fs __attribute__((unused)) ) +{ + context->fc = context->fc->prev; +} + +static void +uw_advance_context (struct _Unwind_Context *context, _Unwind_FrameState *fs) +{ + _Unwind_SjLj_Unregister (context->fc); + uw_update_context (context, fs); +} + +static inline void +uw_init_context (struct _Unwind_Context *context) +{ + context->fc = _Unwind_SjLj_GetContext (); +} + +static void __attribute__((noreturn)) +uw_install_context (struct _Unwind_Context *current __attribute__((unused)), + struct _Unwind_Context *target) +{ + _Unwind_SjLj_SetContext (target->fc); + longjmp (target->fc->jbuf, 1); +} + +static inline _Unwind_Ptr +uw_identify_context (struct _Unwind_Context *context) +{ + return (_Unwind_Ptr) context->fc; +} + + +/* Play games with unwind symbols so that we can have call frame + and sjlj symbols in the same shared library. Not that you can + use them simultaneously... */ +#define _Unwind_RaiseException _Unwind_SjLj_RaiseException +#define _Unwind_ForcedUnwind _Unwind_SjLj_ForcedUnwind +#define _Unwind_Resume _Unwind_SjLj_Resume +#define _Unwind_Resume_or_Rethrow _Unwind_SjLj_Resume_or_Rethrow + +#include "unwind.inc" + +#endif /* USING_SJLJ_EXCEPTIONS */ diff --git a/contrib/toolchain/gcc/5x/libgcc/vtv_end.c b/contrib/toolchain/gcc/5x/libgcc/vtv_end.c new file mode 100644 index 0000000000..fecaf12fe9 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/vtv_end.c @@ -0,0 +1,65 @@ +/* Copyright (C) 2012-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file is part of the vtable verification feature (for a + detailed description of the feature, see comments in + vtable-verify.c). The vtable verification feature creates + certain global symbols that need to be read-write sometimes during + program execution, and read-only at others. It uses 'mprotect' to + change the memory protections of the pages on which these variables + are stored. In order to not affect the protections of other + program variables, these variables are put into a special named + section, ".vtable_map_vars", which is page-aligned at the start, + and which is padded with a page-sized amount of zeros at the end. + To make this section page aligned, we create a special symbol, + "_vtable_map_vars_start" which we make the very first thing that + goes into the section. That is defined in vtv_start.c (which + contains nothing else). vtv_start.c gest compiled into + vtv_start.o, and vtv_start.o gets inserted into the link line + immediately after crtbegin.o, if the program is compiled with + -fvtable.verify. + + In order to pad the ".vtable_map_vars" section with a page-sized + amount of zeros at the end, there is a second symbol, + _vtable_map_vars_end. This file defines that symbol (and only this + symbol). This second symbol is a page-sized array of chars, + zero-filled, and is the very last thing to go into the section. + When the GCC driver inserts vtv_start.o into the link line (just + after crtbegin.o) it also inserts vtv_end.o into the link line, + just before crtend.o. This has the desired effect of making our + section page-aligned and page-size paded, ensuring that no other + program data lands on our pages. */ + + +#include "vtv-change-permission.h" + +__attribute__ ((constructor(100))) void +__VLTprotect (void) +{ + __VLTChangePermission (__VLTP_READ_ONLY); +} + +/* Page-sized variable to mark end of .vtable_map_vars section. */ +char _vtable_map_vars_end[VTV_PAGE_SIZE] + __attribute__ ((__visibility__ ("protected"), used, + section(".vtable_map_vars"))); diff --git a/contrib/toolchain/gcc/5x/libgcc/vtv_end_preinit.c b/contrib/toolchain/gcc/5x/libgcc/vtv_end_preinit.c new file mode 100644 index 0000000000..cf6c3653c2 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/vtv_end_preinit.c @@ -0,0 +1,70 @@ +/* Copyright (C) 2012-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file is part of the vtable verification feature (for a + detailed description of the feature, see comments in + vtable-verify.c). The vtable verification feature creates + certain global symbols that need to be read-write sometimes during + program execution, and read-only at others. It uses 'mprotect' to + change the memory protections of the pages on which these variables + are stored. In order to not affect the protections of other + program variables, these variables are put into a special named + section, ".vtable_map_vars", which is page-aligned at the start, + and which is padded with a page-sized amount of zeros at the end. + To make this section page aligned, we create a special symbol, + "_vtable_map_vars_start" which we make the very first thing that + goes into the section. That is defined in vtv_start.c (which + contains nothing else). vtv_start.c gest compiled into + vtv_start.o, and vtv_start.o gets inserted into the link line + immediately after crtbegin.o, if the program is compiled with + -fvtable.verify. + + In order to pad the ".vtable_map_vars" section with a page-sized + amount of zeros at the end, there is a second symbol, + _vtable_map_vars_end. This file defines that symbol (and only this + symbol). This second symbol is a page-sized array of chars, + zero-filled, and is the very last thing to go into the section. + When the GCC driver inserts vtv_start.o into the link line (just + after crtbegin.o) it also inserts vtv_end.o into the link line, + just before crtend.o. This has the desired effect of making our + section page-aligned and page-size paded, ensuring that no other + program data lands on our pages. */ + +#include "vtv-change-permission.h" + +void +__VLTProtectPreinit (void) +{ + __VLTChangePermission (__VLTP_READ_ONLY); +} + +/* Page-sized variable to mark end of .vtable_map_vars section. */ +char _vtable_map_vars_end[VTV_PAGE_SIZE] + __attribute__ ((__visibility__ ("protected"), used, + section(".vtable_map_vars"))); + +/* Put the function __VLTProtectPreinit into the .preinit_array + section. */ + +__attribute__ ((section (".preinit_array"))) + typeof (__VLTProtectPreinit) *__preinit_end = __VLTProtectPreinit; diff --git a/contrib/toolchain/gcc/5x/libgcc/vtv_start.c b/contrib/toolchain/gcc/5x/libgcc/vtv_start.c new file mode 100644 index 0000000000..8363e8ca36 --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/vtv_start.c @@ -0,0 +1,64 @@ +/* Copyright (C) 2012-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file is part of the vtable verification feature (for a + detailed description of the feature, see comments in + vtable-verify.c). The vtable verification feature creates + certain global symbols that need to be read-write sometimes during + program execution, and read-only at others. It uses 'mprotect' to + change the memory protections of the pages on which these variables + are stored. In order to not affect the protections of other + program variables, these variables are put into a special named + section, ".vtable_map_vars", which is page-aligned at the start, + and which is padded with a page-sized amount of zeros at the end. + To make this section page aligned, we create a special symbol, + "_vtable_map_vars_start" which we make the very first thing that + goes into the section. This file defines that symbol (and only + that symbol). GCC compiles this file into vtv_start.o, and + inserts vtv_start.o into the link line immediately after + crtbegin.o, if the program is compiled with -fvtable.verify. + + In order to pad the ".vtable_map_vars" section with a page-sized + amount of zeros at the end, there is a second symbol, + _vtable_map_vars_end, which is defined in another file, vtv_end.c. + This second symbol is a page-sized array of chars, zero-filled, and + is the very last thing to go into the section. When the GCC driver + inserts vtv_start.o into the link line (just after crtbegin.o) it + also inserts vtv_end.o into the link line, just before crtend.o. + This has the desired effect of making our section page-aligned and + page-size paded, ensuring that no other program data lands on our + pages. */ + +#include "vtv-change-permission.h" + +__attribute__ ((constructor(98))) void +__VLTunprotect (void) +{ + __VLTChangePermission (__VLTP_READ_WRITE); +} + +/* Page-aligned symbol to mark beginning of .vtable_map_vars section. */ +char _vtable_map_vars_start [] +__attribute__ ((__visibility__ ("protected"), used, aligned(VTV_PAGE_SIZE), + section(".vtable_map_vars"))) + = { }; diff --git a/contrib/toolchain/gcc/5x/libgcc/vtv_start_preinit.c b/contrib/toolchain/gcc/5x/libgcc/vtv_start_preinit.c new file mode 100644 index 0000000000..fad69680ca --- /dev/null +++ b/contrib/toolchain/gcc/5x/libgcc/vtv_start_preinit.c @@ -0,0 +1,72 @@ +/* Copyright (C) 2012-2015 Free Software Foundation, Inc. + +This file is part of GCC. + +GCC is free software; you can redistribute it and/or modify it under +the terms of the GNU General Public License as published by the Free +Software Foundation; either version 3, or (at your option) any later +version. + +GCC is distributed in the hope that it will be useful, but WITHOUT ANY +WARRANTY; without even the implied warranty of MERCHANTABILITY or +FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License +for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +. */ + +/* This file is part of the vtable verification feature (for a + detailed description of the feature, see comments in + vtable-verify.c). The vtable verification feature creates + certain global symbols that need to be read-write sometimes during + program execution, and read-only at others. It uses 'mprotect' to + change the memory protections of the pages on which these variables + are stored. In order to not affect the protections of other + program variables, these variables are put into a special named + section, ".vtable_map_vars", which is page-aligned at the start, + and which is padded with a page-sized amount of zeros at the end. + To make this section page aligned, we create a special symbol, + "_vtable_map_vars_start" which we make the very first thing that + goes into the section. This file defines that symbol (and only + that symbol). GCC compiles this file into vtv_start.o, and + inserts vtv_start.o into the link line immediately after + crtbegin.o, if the program is compiled with -fvtable.verify. + + In order to pad the ".vtable_map_vars" section with a page-sized + amount of zeros at the end, there is a second symbol, + _vtable_map_vars_end, which is defined in another file, vtv_end.c. + This second symbol is a page-sized array of chars, zero-filled, and + is the very last thing to go into the section. When the GCC driver + inserts vtv_start.o into the link line (just after crtbegin.o) it + also inserts vtv_end.o into the link line, just before crtend.o. + This has the desired effect of making our section page-aligned and + page-size paded, ensuring that no other program data lands on our + pages. */ + +#include "vtv-change-permission.h" + +void +__VLTUnprotectPreinit (void) +{ + __VLTChangePermission (__VLTP_READ_WRITE); +} + +/* Page-aligned symbol to mark beginning of .vtable_map_vars section. */ +char _vtable_map_vars_start [] +__attribute__ ((__visibility__ ("protected"), used, aligned(VTV_PAGE_SIZE), + section(".vtable_map_vars"))) + = { }; + + +/* Put the function __VLTUnprotectPreinit into the .preinit_array + section. */ + +__attribute__ ((section (".preinit_array"))) + typeof (__VLTUnprotectPreinit) *__preinit = __VLTUnprotectPreinit; +