284 lines
7.3 KiB
C
284 lines
7.3 KiB
C
/****************************************************************
|
|
*
|
|
* The author of this software is David M. Gay.
|
|
*
|
|
* Copyright (c) 1991 by AT&T.
|
|
*
|
|
* Permission to use, copy, modify, and distribute this software for any
|
|
* purpose without fee is hereby granted, provided that this entire notice
|
|
* is included in all copies of any software which is or includes a copy
|
|
* or modification of this software and in all copies of the supporting
|
|
* documentation for such software.
|
|
*
|
|
* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
|
|
* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
|
|
* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
|
|
* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
|
|
*
|
|
***************************************************************/
|
|
|
|
/* Please send bug reports to
|
|
David M. Gay
|
|
AT&T Bell Laboratories, Room 2C-463
|
|
600 Mountain Avenue
|
|
Murray Hill, NJ 07974-2070
|
|
U.S.A.
|
|
dmg@research.att.com or research!dmg
|
|
*/
|
|
|
|
/* This header file is a modification of mprec.h that only contains floating
|
|
point union code. */
|
|
|
|
#include <newlib.h>
|
|
#include <ieeefp.h>
|
|
#include <math.h>
|
|
#include <float.h>
|
|
#include <errno.h>
|
|
#include <sys/config.h>
|
|
|
|
#ifdef __IEEE_LITTLE_ENDIAN
|
|
#define IEEE_8087
|
|
#endif
|
|
|
|
#ifdef __IEEE_BIG_ENDIAN
|
|
#define IEEE_MC68k
|
|
#endif
|
|
|
|
#ifdef __Z8000__
|
|
#define Just_16
|
|
#endif
|
|
|
|
#ifdef Unsigned_Shifts
|
|
#define Sign_Extend(a,b) if (b < 0) a |= (__uint32_t)0xffff0000;
|
|
#else
|
|
#define Sign_Extend(a,b) /*no-op*/
|
|
#endif
|
|
|
|
#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
|
|
Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
|
|
#endif
|
|
|
|
#ifdef _WANT_IO_LONG_DOUBLE
|
|
/* If we are going to examine or modify specific bits in a long double using
|
|
the lword0 or lwordx macros, then we must wrap the long double inside
|
|
a union. This is necessary to avoid undefined behavior according to
|
|
the ANSI C spec. */
|
|
|
|
#ifdef IEEE_8087
|
|
#if LDBL_MANT_DIG == 24
|
|
struct ldieee
|
|
{
|
|
unsigned manh:23;
|
|
unsigned exp:8;
|
|
unsigned sign:1;
|
|
};
|
|
#elif LDBL_MANT_DIG == 53
|
|
struct ldieee
|
|
{
|
|
unsigned manl:20;
|
|
unsigned manh:32;
|
|
unsigned exp:11;
|
|
unsigned sign:1;
|
|
};
|
|
#elif LDBL_MANT_DIG == 64
|
|
struct ldieee
|
|
{
|
|
unsigned manl:32;
|
|
unsigned manh:32;
|
|
unsigned exp:15;
|
|
unsigned sign:1;
|
|
};
|
|
#elif LDBL_MANT_DIG > 64
|
|
struct ldieee
|
|
{
|
|
unsigned manl3:16;
|
|
unsigned manl2:32;
|
|
unsigned manl:32;
|
|
unsigned manh:32;
|
|
unsigned exp:15;
|
|
unsigned sign:1;
|
|
};
|
|
#endif /* LDBL_MANT_DIG */
|
|
#else /* !IEEE_8087 */
|
|
#if LDBL_MANT_DIG == 24
|
|
struct ldieee
|
|
{
|
|
unsigned sign:1;
|
|
unsigned exp:8;
|
|
unsigned manh:23;
|
|
};
|
|
#elif LDBL_MANT_DIG == 53
|
|
struct ldieee
|
|
{
|
|
unsigned sign:1;
|
|
unsigned exp:11;
|
|
unsigned manh:32;
|
|
unsigned manl:20;
|
|
};
|
|
#elif LDBL_MANT_DIG == 64
|
|
struct ldieee
|
|
{
|
|
unsigned sign:1;
|
|
unsigned exp:15;
|
|
unsigned manh:32;
|
|
unsigned manl:32;
|
|
};
|
|
#elif LDBL_MANT_DIG > 64
|
|
struct ldieee
|
|
{
|
|
unsigned sign:1;
|
|
unsigned exp:15;
|
|
unsigned manh:32;
|
|
unsigned manl:32;
|
|
unsigned manl2:32;
|
|
unsigned manl3;16;
|
|
};
|
|
#endif /* LDBL_MANT_DIG */
|
|
#endif /* !IEEE_8087 */
|
|
#endif /* _WANT_IO_LONG_DOUBLE */
|
|
|
|
/* If we are going to examine or modify specific bits in a double using
|
|
the word0 and/or word1 macros, then we must wrap the double inside
|
|
a union. This is necessary to avoid undefined behavior according to
|
|
the ANSI C spec. */
|
|
union double_union
|
|
{
|
|
double d;
|
|
__uint32_t i[2];
|
|
};
|
|
|
|
#ifdef IEEE_8087
|
|
#define word0(x) (x.i[1])
|
|
#define word1(x) (x.i[0])
|
|
#else
|
|
#define word0(x) (x.i[0])
|
|
#define word1(x) (x.i[1])
|
|
#endif
|
|
|
|
/* #define P DBL_MANT_DIG */
|
|
/* Ten_pmax = floor(P*log(2)/log(5)) */
|
|
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
|
|
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
|
|
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
|
|
|
|
#if defined(IEEE_8087) + defined(IEEE_MC68k)
|
|
#if defined (_DOUBLE_IS_32BITS)
|
|
#define Exp_shift 23
|
|
#define Exp_shift1 23
|
|
#define Exp_msk1 ((__uint32_t)0x00800000L)
|
|
#define Exp_msk11 ((__uint32_t)0x00800000L)
|
|
#define Exp_mask ((__uint32_t)0x7f800000L)
|
|
#define P 24
|
|
#define Bias 127
|
|
#define IEEE_Arith
|
|
#define Emin (-126)
|
|
#define Exp_1 ((__uint32_t)0x3f800000L)
|
|
#define Exp_11 ((__uint32_t)0x3f800000L)
|
|
#define Ebits 8
|
|
#define Frac_mask ((__uint32_t)0x007fffffL)
|
|
#define Frac_mask1 ((__uint32_t)0x007fffffL)
|
|
#define Ten_pmax 10
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
|
#define Ten_pmax 10
|
|
#define Bletch 2
|
|
#define Bndry_mask ((__uint32_t)0x007fffffL)
|
|
#define Bndry_mask1 ((__uint32_t)0x007fffffL)
|
|
#define LSB 1
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
|
#define Log2P 1
|
|
#define Tiny0 0
|
|
#define Tiny1 1
|
|
#define Quick_max 5
|
|
#define Int_max 6
|
|
#define Infinite(x) (word0(x) == ((__uint32_t)0x7f800000L))
|
|
#undef word0
|
|
#undef word1
|
|
|
|
#define word0(x) (x.i[0])
|
|
#define word1(x) 0
|
|
#else
|
|
|
|
#define Exp_shift 20
|
|
#define Exp_shift1 20
|
|
#define Exp_msk1 ((__uint32_t)0x100000L)
|
|
#define Exp_msk11 ((__uint32_t)0x100000L)
|
|
#define Exp_mask ((__uint32_t)0x7ff00000L)
|
|
#define P 53
|
|
#define Bias 1023
|
|
#define IEEE_Arith
|
|
#define Emin (-1022)
|
|
#define Exp_1 ((__uint32_t)0x3ff00000L)
|
|
#define Exp_11 ((__uint32_t)0x3ff00000L)
|
|
#define Ebits 11
|
|
#define Frac_mask ((__uint32_t)0xfffffL)
|
|
#define Frac_mask1 ((__uint32_t)0xfffffL)
|
|
#define Ten_pmax 22
|
|
#define Bletch 0x10
|
|
#define Bndry_mask ((__uint32_t)0xfffffL)
|
|
#define Bndry_mask1 ((__uint32_t)0xfffffL)
|
|
#define LSB 1
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
|
#define Log2P 1
|
|
#define Tiny0 0
|
|
#define Tiny1 1
|
|
#define Quick_max 14
|
|
#define Int_max 14
|
|
#define Infinite(x) (word0(x) == ((__uint32_t)0x7ff00000L)) /* sufficient test for here */
|
|
#endif
|
|
|
|
#else
|
|
#undef Sudden_Underflow
|
|
#define Sudden_Underflow
|
|
#ifdef IBM
|
|
#define Exp_shift 24
|
|
#define Exp_shift1 24
|
|
#define Exp_msk1 ((__uint32_t)0x1000000L)
|
|
#define Exp_msk11 ((__uint32_t)0x1000000L)
|
|
#define Exp_mask ((__uint32_t)0x7f000000L)
|
|
#define P 14
|
|
#define Bias 65
|
|
#define Exp_1 ((__uint32_t)0x41000000L)
|
|
#define Exp_11 ((__uint32_t)0x41000000L)
|
|
#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
|
|
#define Frac_mask ((__uint32_t)0xffffffL)
|
|
#define Frac_mask1 ((__uint32_t)0xffffffL)
|
|
#define Bletch 4
|
|
#define Ten_pmax 22
|
|
#define Bndry_mask ((__uint32_t)0xefffffL)
|
|
#define Bndry_mask1 ((__uint32_t)0xffffffL)
|
|
#define LSB 1
|
|
#define Sign_bit ((__uint32_t)0x80000000L)
|
|
#define Log2P 4
|
|
#define Tiny0 ((__uint32_t)0x100000L)
|
|
#define Tiny1 0
|
|
#define Quick_max 14
|
|
#define Int_max 15
|
|
#else /* VAX */
|
|
#define Exp_shift 23
|
|
#define Exp_shift1 7
|
|
#define Exp_msk1 0x80
|
|
#define Exp_msk11 ((__uint32_t)0x800000L)
|
|
#define Exp_mask ((__uint32_t)0x7f80L)
|
|
#define P 56
|
|
#define Bias 129
|
|
#define Exp_1 ((__uint32_t)0x40800000L)
|
|
#define Exp_11 ((__uint32_t)0x4080L)
|
|
#define Ebits 8
|
|
#define Frac_mask ((__uint32_t)0x7fffffL)
|
|
#define Frac_mask1 ((__uint32_t)0xffff007fL)
|
|
#define Ten_pmax 24
|
|
#define Bletch 2
|
|
#define Bndry_mask ((__uint32_t)0xffff007fL)
|
|
#define Bndry_mask1 ((__uint32_t)0xffff007fL)
|
|
#define LSB ((__uint32_t)0x10000L)
|
|
#define Sign_bit ((__uint32_t)0x8000L)
|
|
#define Log2P 1
|
|
#define Tiny0 0x80
|
|
#define Tiny1 0
|
|
#define Quick_max 15
|
|
#define Int_max 15
|
|
#endif
|
|
#endif
|
|
|
|
|