424 lines
13 KiB
C
424 lines
13 KiB
C
/* Copyright (C) 2007-2014 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 "bid_internal.h"
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid64dq_mul (UINT64 * pres, UINT64 * px, UINT128 * py
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT64 x = *px;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT64
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bid64dq_mul (UINT64 x, UINT128 y
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT64 res = 0xbaddbaddbaddbaddull;
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UINT128 x1;
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#if DECIMAL_CALL_BY_REFERENCE
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bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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bid64qq_mul (&res, &x1, py
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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res = bid64qq_mul (x1, y
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid64qd_mul (UINT64 * pres, UINT128 * px, UINT64 * py
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT64 y = *py;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT64
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bid64qd_mul (UINT128 x, UINT64 y
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT64 res = 0xbaddbaddbaddbaddull;
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UINT128 y1;
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#if DECIMAL_CALL_BY_REFERENCE
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bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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bid64qq_mul (&res, px, &y1
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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res = bid64qq_mul (x, y1
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid64qq_mul (UINT64 * pres, UINT128 * px, UINT128 * py
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT128 x = *px, y = *py;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT64
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bid64qq_mul (UINT128 x, UINT128 y
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull}
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};
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UINT64 res = 0xbaddbaddbaddbaddull;
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UINT64 x_sign, y_sign, p_sign;
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UINT64 x_exp, y_exp, p_exp;
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int true_p_exp;
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UINT128 C1, C2;
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BID_SWAP128 (z);
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// skip cases where at least one operand is NaN or infinity
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if (!(((x.w[HIGH_128W] & MASK_NAN) == MASK_NAN) ||
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((y.w[HIGH_128W] & MASK_NAN) == MASK_NAN) ||
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((x.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF) ||
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((y.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF))) {
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// x, y are 0 or f but not inf or NaN => unpack the arguments and check
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// for non-canonical values
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x_sign = x.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative
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C1.w[1] = x.w[HIGH_128W] & MASK_COEFF;
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C1.w[0] = x.w[LOW_128W];
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// check for non-canonical values - treated as zero
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if ((x.w[HIGH_128W] & 0x6000000000000000ull) ==
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0x6000000000000000ull) {
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// G0_G1=11 => non-canonical
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x_exp = (x.w[HIGH_128W] << 2) & MASK_EXP; // biased and shifted left 49 bits
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C1.w[1] = 0; // significand high
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C1.w[0] = 0; // significand low
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} else { // G0_G1 != 11
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x_exp = x.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits
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if (C1.w[1] > 0x0001ed09bead87c0ull ||
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(C1.w[1] == 0x0001ed09bead87c0ull &&
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C1.w[0] > 0x378d8e63ffffffffull)) {
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// x is non-canonical if coefficient is larger than 10^34 -1
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C1.w[1] = 0;
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C1.w[0] = 0;
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} else { // canonical
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;
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}
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}
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y_sign = y.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative
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C2.w[1] = y.w[HIGH_128W] & MASK_COEFF;
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C2.w[0] = y.w[LOW_128W];
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// check for non-canonical values - treated as zero
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if ((y.w[HIGH_128W] & 0x6000000000000000ull) ==
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0x6000000000000000ull) {
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// G0_G1=11 => non-canonical
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y_exp = (y.w[HIGH_128W] << 2) & MASK_EXP; // biased and shifted left 49 bits
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C2.w[1] = 0; // significand high
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C2.w[0] = 0; // significand low
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} else { // G0_G1 != 11
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y_exp = y.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits
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if (C2.w[1] > 0x0001ed09bead87c0ull ||
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(C2.w[1] == 0x0001ed09bead87c0ull &&
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C2.w[0] > 0x378d8e63ffffffffull)) {
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// y is non-canonical if coefficient is larger than 10^34 -1
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C2.w[1] = 0;
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C2.w[0] = 0;
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} else { // canonical
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;
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}
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}
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p_sign = x_sign ^ y_sign; // sign of the product
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true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176;
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// true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0
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if (true_p_exp < -398)
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p_exp = 0; // cannot be less than EXP_MIN
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else if (true_p_exp > 369)
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p_exp = (UINT64) (369 + 398) << 53; // cannot be more than EXP_MAX
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else
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p_exp = (UINT64) (true_p_exp + 398) << 53;
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if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) ||
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(C2.w[1] == 0x0 && C2.w[0] == 0x0)) {
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// x = 0 or y = 0
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// the result is 0
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res = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX]
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BID_RETURN (res)
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} // else continue
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}
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// swap x and y - ensure that a NaN in x has 'higher precedence' than one in y
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#if DECIMAL_CALL_BY_REFERENCE
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bid64qqq_fma (&res, &y, &x, &z
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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res = bid64qqq_fma (y, x, z
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid128dd_mul (UINT128 * pres, UINT64 * px, UINT64 * py
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT64 x = *px, y = *py;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT128
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bid128dd_mul (UINT64 x, UINT64 y
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
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};
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UINT128 x1, y1;
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#if DECIMAL_CALL_BY_REFERENCE
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bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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bid128_mul (&res, &x1, &y1
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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res = bid128_mul (x1, y1
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid128dq_mul (UINT128 * pres, UINT64 * px, UINT128 * py
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT64 x = *px;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT128
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bid128dq_mul (UINT64 x, UINT128 y
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
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};
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UINT128 x1;
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#if DECIMAL_CALL_BY_REFERENCE
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bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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bid128_mul (&res, &x1, py
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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res = bid128_mul (x1, y
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid128qd_mul (UINT128 * pres, UINT128 * px, UINT64 * py
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT64 y = *py;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT128
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bid128qd_mul (UINT128 x, UINT64 y
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
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};
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UINT128 y1;
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#if DECIMAL_CALL_BY_REFERENCE
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bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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bid128_mul (&res, px, &y1
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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res = bid128_mul (x, y1
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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// bid128_mul stands for bid128qq_mul
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#if DECIMAL_CALL_BY_REFERENCE
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void
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bid128_mul (UINT128 * pres, UINT128 * px,
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UINT128 *
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py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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UINT128 x = *px, y = *py;
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#if !DECIMAL_GLOBAL_ROUNDING
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unsigned int rnd_mode = *prnd_mode;
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#endif
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#else
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UINT128
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bid128_mul (UINT128 x,
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UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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_EXC_INFO_PARAM) {
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#endif
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UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull}
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};
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UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
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};
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UINT64 x_sign, y_sign, p_sign;
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UINT64 x_exp, y_exp, p_exp;
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int true_p_exp;
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UINT128 C1, C2;
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BID_SWAP128 (x);
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BID_SWAP128 (y);
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// skip cases where at least one operand is NaN or infinity
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if (!(((x.w[1] & MASK_NAN) == MASK_NAN) ||
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((y.w[1] & MASK_NAN) == MASK_NAN) ||
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((x.w[1] & MASK_ANY_INF) == MASK_INF) ||
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((y.w[1] & MASK_ANY_INF) == MASK_INF))) {
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// x, y are 0 or f but not inf or NaN => unpack the arguments and check
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// for non-canonical values
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x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative
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C1.w[1] = x.w[1] & MASK_COEFF;
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C1.w[0] = x.w[0];
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// check for non-canonical values - treated as zero
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if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) {
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// G0_G1=11 => non-canonical
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x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits
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C1.w[1] = 0; // significand high
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C1.w[0] = 0; // significand low
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} else { // G0_G1 != 11
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x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits
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if (C1.w[1] > 0x0001ed09bead87c0ull ||
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(C1.w[1] == 0x0001ed09bead87c0ull &&
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C1.w[0] > 0x378d8e63ffffffffull)) {
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// x is non-canonical if coefficient is larger than 10^34 -1
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C1.w[1] = 0;
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C1.w[0] = 0;
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} else { // canonical
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;
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}
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}
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y_sign = y.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative
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C2.w[1] = y.w[1] & MASK_COEFF;
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C2.w[0] = y.w[0];
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// check for non-canonical values - treated as zero
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if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) {
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// G0_G1=11 => non-canonical
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y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits
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C2.w[1] = 0; // significand high
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C2.w[0] = 0; // significand low
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} else { // G0_G1 != 11
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y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits
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if (C2.w[1] > 0x0001ed09bead87c0ull ||
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(C2.w[1] == 0x0001ed09bead87c0ull &&
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C2.w[0] > 0x378d8e63ffffffffull)) {
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// y is non-canonical if coefficient is larger than 10^34 -1
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C2.w[1] = 0;
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C2.w[0] = 0;
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} else { // canonical
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;
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}
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}
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p_sign = x_sign ^ y_sign; // sign of the product
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true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176;
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// true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0
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if (true_p_exp < -6176)
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p_exp = 0; // cannot be less than EXP_MIN
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else if (true_p_exp > 6111)
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p_exp = (UINT64) (6111 + 6176) << 49; // cannot be more than EXP_MAX
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else
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p_exp = (UINT64) (true_p_exp + 6176) << 49;
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if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) ||
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(C2.w[1] == 0x0 && C2.w[0] == 0x0)) {
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// x = 0 or y = 0
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// the result is 0
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res.w[1] = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX]
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res.w[0] = 0x0;
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BID_SWAP128 (res);
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BID_RETURN (res)
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} // else continue
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}
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BID_SWAP128 (x);
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BID_SWAP128 (y);
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BID_SWAP128 (z);
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// swap x and y - ensure that a NaN in x has 'higher precedence' than one in y
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#if DECIMAL_CALL_BY_REFERENCE
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bid128_fma (&res, &y, &x, &z
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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_EXC_INFO_ARG);
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#else
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res = bid128_fma (y, x, z
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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|
_EXC_INFO_ARG);
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#endif
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BID_RETURN (res);
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}
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