forked from KolibriOS/kolibrios
512 lines
14 KiB
C
512 lines
14 KiB
C
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/* Copyright (C) 2007-2015 Free Software Foundation, Inc.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 3, or (at your option) any later
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version.
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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Under Section 7 of GPL version 3, you are granted additional
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permissions described in the GCC Runtime Library Exception, version
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3.1, as published by the Free Software Foundation.
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You should have received a copy of the GNU General Public License and
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a copy of the GCC Runtime Library Exception along with this program;
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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<http://www.gnu.org/licenses/>. */
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#include <ctype.h>
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#include "bid_internal.h"
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#include "bid128_2_str.h"
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#include "bid128_2_str_macros.h"
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#define MAX_FORMAT_DIGITS 16
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#define DECIMAL_EXPONENT_BIAS 398
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#define MAX_DECIMAL_EXPONENT 767
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid64_to_string (char *ps, UINT64 * px
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_EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
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UINT64 x;
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#else
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void
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bid64_to_string (char *ps, UINT64 x
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_EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
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#endif
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// the destination string (pointed to by ps) must be pre-allocated
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UINT64 sign_x, coefficient_x, D, ER10;
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int istart, exponent_x, j, digits_x, bin_expon_cx;
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int_float tempx;
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UINT32 MiDi[12], *ptr;
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UINT64 HI_18Dig, LO_18Dig, Tmp;
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char *c_ptr_start, *c_ptr;
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int midi_ind, k_lcv, len;
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unsigned int save_fpsf;
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#if DECIMAL_CALL_BY_REFERENCE
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x = *px;
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#endif
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save_fpsf = *pfpsf; // place holder only
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// unpack arguments, check for NaN or Infinity
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if (!unpack_BID64 (&sign_x, &exponent_x, &coefficient_x, x)) {
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// x is Inf. or NaN or 0
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// Inf or NaN?
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if ((x & 0x7800000000000000ull) == 0x7800000000000000ull) {
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if ((x & 0x7c00000000000000ull) == 0x7c00000000000000ull) {
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ps[0] = (sign_x) ? '-' : '+';
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ps[1] = ((x & MASK_SNAN) == MASK_SNAN)? 'S':'Q';
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ps[2] = 'N';
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ps[3] = 'a';
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ps[4] = 'N';
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ps[5] = 0;
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return;
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}
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// x is Inf
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ps[0] = (sign_x) ? '-' : '+';
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ps[1] = 'I';
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ps[2] = 'n';
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ps[3] = 'f';
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ps[4] = 0;
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return;
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}
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// 0
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istart = 0;
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if (sign_x) {
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ps[istart++] = '-';
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}
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ps[istart++] = '0';
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ps[istart++] = 'E';
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exponent_x -= 398;
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if (exponent_x < 0) {
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ps[istart++] = '-';
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exponent_x = -exponent_x;
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} else
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ps[istart++] = '+';
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if (exponent_x) {
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// get decimal digits in coefficient_x
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tempx.d = (float) exponent_x;
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bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
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digits_x = estimate_decimal_digits[bin_expon_cx];
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if ((UINT64)exponent_x >= power10_table_128[digits_x].w[0])
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digits_x++;
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j = istart + digits_x - 1;
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istart = j + 1;
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// 2^32/10
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ER10 = 0x1999999a;
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while (exponent_x > 9) {
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D = (UINT64) exponent_x *ER10;
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D >>= 32;
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exponent_x = exponent_x - (D << 1) - (D << 3);
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ps[j--] = '0' + (char) exponent_x;
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exponent_x = D;
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}
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ps[j] = '0' + (char) exponent_x;
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} else {
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ps[istart++] = '0';
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}
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ps[istart] = 0;
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return;
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}
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// convert expon, coeff to ASCII
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exponent_x -= DECIMAL_EXPONENT_BIAS;
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ER10 = 0x1999999a;
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istart = 0;
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if (sign_x) {
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ps[0] = '-';
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istart = 1;
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}
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// if zero or non-canonical, set coefficient to '0'
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if ((coefficient_x > 9999999999999999ull) || // non-canonical
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((coefficient_x == 0)) // significand is zero
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) {
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ps[istart++] = '0';
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} else {
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/* ****************************************************
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This takes a bid coefficient in C1.w[1],C1.w[0]
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and put the converted character sequence at location
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starting at &(str[k]). The function returns the number
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of MiDi returned. Note that the character sequence
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does not have leading zeros EXCEPT when the input is of
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zero value. It will then output 1 character '0'
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The algorithm essentailly tries first to get a sequence of
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Millenial Digits "MiDi" and then uses table lookup to get the
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character strings of these MiDis.
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**************************************************** */
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/* Algorithm first decompose possibly 34 digits in hi and lo
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18 digits. (The high can have at most 16 digits). It then
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uses macro that handle 18 digit portions.
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The first step is to get hi and lo such that
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2^(64) C1.w[1] + C1.w[0] = hi * 10^18 + lo, 0 <= lo < 10^18.
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We use a table lookup method to obtain the hi and lo 18 digits.
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[C1.w[1],C1.w[0]] = c_8 2^(107) + c_7 2^(101) + ... + c_0 2^(59) + d
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where 0 <= d < 2^59 and each c_j has 6 bits. Because d fits in
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18 digits, we set hi = 0, and lo = d to begin with.
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We then retrieve from a table, for j = 0, 1, ..., 8
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that gives us A and B where c_j 2^(59+6j) = A * 10^18 + B.
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hi += A ; lo += B; After each accumulation into lo, we normalize
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immediately. So at the end, we have the decomposition as we need. */
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Tmp = coefficient_x >> 59;
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LO_18Dig = (coefficient_x << 5) >> 5;
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HI_18Dig = 0;
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k_lcv = 0;
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while (Tmp) {
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midi_ind = (int) (Tmp & 0x000000000000003FLL);
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midi_ind <<= 1;
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Tmp >>= 6;
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HI_18Dig += mod10_18_tbl[k_lcv][midi_ind++];
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LO_18Dig += mod10_18_tbl[k_lcv++][midi_ind];
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__L0_Normalize_10to18 (HI_18Dig, LO_18Dig);
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}
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ptr = MiDi;
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__L1_Split_MiDi_6_Lead (LO_18Dig, ptr);
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len = ptr - MiDi;
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c_ptr_start = &(ps[istart]);
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c_ptr = c_ptr_start;
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/* now convert the MiDi into character strings */
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__L0_MiDi2Str_Lead (MiDi[0], c_ptr);
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for (k_lcv = 1; k_lcv < len; k_lcv++) {
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__L0_MiDi2Str (MiDi[k_lcv], c_ptr);
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}
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istart = istart + (c_ptr - c_ptr_start);
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}
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ps[istart++] = 'E';
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if (exponent_x < 0) {
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ps[istart++] = '-';
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exponent_x = -exponent_x;
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} else
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ps[istart++] = '+';
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if (exponent_x) {
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// get decimal digits in coefficient_x
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tempx.d = (float) exponent_x;
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bin_expon_cx = ((tempx.i >> 23) & 0xff) - 0x7f;
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digits_x = estimate_decimal_digits[bin_expon_cx];
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if ((UINT64)exponent_x >= power10_table_128[digits_x].w[0])
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digits_x++;
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j = istart + digits_x - 1;
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istart = j + 1;
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// 2^32/10
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ER10 = 0x1999999a;
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while (exponent_x > 9) {
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D = (UINT64) exponent_x *ER10;
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D >>= 32;
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exponent_x = exponent_x - (D << 1) - (D << 3);
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ps[j--] = '0' + (char) exponent_x;
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exponent_x = D;
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}
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ps[j] = '0' + (char) exponent_x;
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} else {
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ps[istart++] = '0';
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}
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ps[istart] = 0;
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return;
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}
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid64_from_string (UINT64 * pres, char *ps
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_RND_MODE_PARAM _EXC_FLAGS_PARAM
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_EXC_MASKS_PARAM _EXC_INFO_PARAM) {
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#else
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UINT64
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bid64_from_string (char *ps
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_RND_MODE_PARAM _EXC_FLAGS_PARAM
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_EXC_MASKS_PARAM _EXC_INFO_PARAM) {
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#endif
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UINT64 sign_x, coefficient_x = 0, rounded = 0, res;
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int expon_x = 0, sgn_expon, ndigits, add_expon = 0, midpoint =
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0, rounded_up = 0;
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int dec_expon_scale = 0, right_radix_leading_zeros = 0, rdx_pt_enc =
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0;
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unsigned fpsc;
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char c;
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unsigned int save_fpsf;
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#if DECIMAL_CALL_BY_REFERENCE
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#if !DECIMAL_GLOBAL_ROUNDING
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_IDEC_round rnd_mode = *prnd_mode;
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#endif
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#endif
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save_fpsf = *pfpsf; // place holder only
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// eliminate leading whitespace
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while (((*ps == ' ') || (*ps == '\t')) && (*ps))
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ps++;
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// get first non-whitespace character
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c = *ps;
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// detect special cases (INF or NaN)
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if (!c || (c != '.' && c != '-' && c != '+' && (c < '0' || c > '9'))) {
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// Infinity?
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if ((tolower_macro (ps[0]) == 'i' && tolower_macro (ps[1]) == 'n' &&
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tolower_macro (ps[2]) == 'f') && (!ps[3] ||
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(tolower_macro (ps[3]) == 'i' &&
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tolower_macro (ps[4]) == 'n' && tolower_macro (ps[5]) == 'i' &&
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tolower_macro (ps[6]) == 't' && tolower_macro (ps[7]) == 'y' &&
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!ps[8]))) {
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res = 0x7800000000000000ull;
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BID_RETURN (res);
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}
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// return sNaN
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if (tolower_macro (ps[0]) == 's' && tolower_macro (ps[1]) == 'n' &&
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tolower_macro (ps[2]) == 'a' && tolower_macro (ps[3]) == 'n') {
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// case insensitive check for snan
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res = 0x7e00000000000000ull;
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BID_RETURN (res);
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} else {
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// return qNaN
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res = 0x7c00000000000000ull;
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BID_RETURN (res);
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}
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}
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// detect +INF or -INF
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if ((tolower_macro (ps[1]) == 'i' && tolower_macro (ps[2]) == 'n' &&
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tolower_macro (ps[3]) == 'f') && (!ps[4] ||
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(tolower_macro (ps[4]) == 'i' && tolower_macro (ps[5]) == 'n' &&
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tolower_macro (ps[6]) == 'i' && tolower_macro (ps[7]) == 't' &&
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tolower_macro (ps[8]) == 'y' && !ps[9]))) {
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if (c == '+')
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res = 0x7800000000000000ull;
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else if (c == '-')
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res = 0xf800000000000000ull;
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else
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res = 0x7c00000000000000ull;
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BID_RETURN (res);
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}
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// if +sNaN, +SNaN, -sNaN, or -SNaN
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if (tolower_macro (ps[1]) == 's' && tolower_macro (ps[2]) == 'n'
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&& tolower_macro (ps[3]) == 'a' && tolower_macro (ps[4]) == 'n') {
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if (c == '-')
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res = 0xfe00000000000000ull;
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else
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res = 0x7e00000000000000ull;
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BID_RETURN (res);
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}
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// determine sign
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if (c == '-')
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sign_x = 0x8000000000000000ull;
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else
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sign_x = 0;
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// get next character if leading +/- sign
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if (c == '-' || c == '+') {
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ps++;
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c = *ps;
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}
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// if c isn't a decimal point or a decimal digit, return NaN
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if (c != '.' && (c < '0' || c > '9')) {
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// return NaN
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res = 0x7c00000000000000ull | sign_x;
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BID_RETURN (res);
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}
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rdx_pt_enc = 0;
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// detect zero (and eliminate/ignore leading zeros)
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if (*(ps) == '0' || *(ps) == '.') {
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if (*(ps) == '.') {
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rdx_pt_enc = 1;
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ps++;
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}
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// if all numbers are zeros (with possibly 1 radix point, the number is zero
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// should catch cases such as: 000.0
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while (*ps == '0') {
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ps++;
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// 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);
|
||
|
|
}
|