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jeremybenn |
/* Copyright (C) 2007, 2009 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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| 236 |
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| 237 |
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| 238 |
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#if DECIMAL_CALL_BY_REFERENCE
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| 239 |
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void
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| 240 |
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bid128dq_mul (UINT128 * pres, UINT64 * px, UINT128 * py
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| 241 |
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
|
| 242 |
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_EXC_INFO_PARAM) {
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| 243 |
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UINT64 x = *px;
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| 244 |
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#if !DECIMAL_GLOBAL_ROUNDING
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| 245 |
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unsigned int rnd_mode = *prnd_mode;
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| 246 |
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#endif
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| 247 |
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#else
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| 248 |
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UINT128
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| 249 |
|
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bid128dq_mul (UINT64 x, UINT128 y
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| 250 |
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
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| 251 |
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_EXC_INFO_PARAM) {
|
| 252 |
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#endif
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| 253 |
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UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
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| 254 |
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};
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| 255 |
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UINT128 x1;
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| 256 |
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| 257 |
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#if DECIMAL_CALL_BY_REFERENCE
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| 258 |
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bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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| 259 |
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bid128_mul (&res, &x1, py
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| 260 |
|
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
|
| 261 |
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_EXC_INFO_ARG);
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| 262 |
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#else
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| 263 |
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x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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| 264 |
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res = bid128_mul (x1, y
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| 265 |
|
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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| 266 |
|
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_EXC_INFO_ARG);
|
| 267 |
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#endif
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| 268 |
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BID_RETURN (res);
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| 269 |
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}
|
| 270 |
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| 271 |
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| 272 |
|
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#if DECIMAL_CALL_BY_REFERENCE
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| 273 |
|
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void
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| 274 |
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bid128qd_mul (UINT128 * pres, UINT128 * px, UINT64 * py
|
| 275 |
|
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
|
| 276 |
|
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_EXC_INFO_PARAM) {
|
| 277 |
|
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UINT64 y = *py;
|
| 278 |
|
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#if !DECIMAL_GLOBAL_ROUNDING
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| 279 |
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unsigned int rnd_mode = *prnd_mode;
|
| 280 |
|
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#endif
|
| 281 |
|
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#else
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| 282 |
|
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UINT128
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| 283 |
|
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bid128qd_mul (UINT128 x, UINT64 y
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| 284 |
|
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_RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
|
| 285 |
|
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_EXC_INFO_PARAM) {
|
| 286 |
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#endif
|
| 287 |
|
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UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
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| 288 |
|
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};
|
| 289 |
|
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UINT128 y1;
|
| 290 |
|
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|
| 291 |
|
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#if DECIMAL_CALL_BY_REFERENCE
|
| 292 |
|
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bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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| 293 |
|
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bid128_mul (&res, px, &y1
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| 294 |
|
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
|
| 295 |
|
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_EXC_INFO_ARG);
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| 296 |
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#else
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| 297 |
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y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG);
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| 298 |
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res = bid128_mul (x, y1
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| 299 |
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_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
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| 300 |
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_EXC_INFO_ARG);
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| 301 |
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#endif
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| 302 |
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BID_RETURN (res);
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| 303 |
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}
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| 304 |
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| 305 |
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|
| 306 |
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// bid128_mul stands for bid128qq_mul
|
| 307 |
|
|
#if DECIMAL_CALL_BY_REFERENCE
|
| 308 |
|
|
void
|
| 309 |
|
|
bid128_mul (UINT128 * pres, UINT128 * px,
|
| 310 |
|
|
UINT128 *
|
| 311 |
|
|
py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
|
| 312 |
|
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_EXC_INFO_PARAM) {
|
| 313 |
|
|
UINT128 x = *px, y = *py;
|
| 314 |
|
|
|
| 315 |
|
|
#if !DECIMAL_GLOBAL_ROUNDING
|
| 316 |
|
|
unsigned int rnd_mode = *prnd_mode;
|
| 317 |
|
|
|
| 318 |
|
|
#endif
|
| 319 |
|
|
#else
|
| 320 |
|
|
UINT128
|
| 321 |
|
|
bid128_mul (UINT128 x,
|
| 322 |
|
|
UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
|
| 323 |
|
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_EXC_INFO_PARAM) {
|
| 324 |
|
|
|
| 325 |
|
|
#endif
|
| 326 |
|
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UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull}
|
| 327 |
|
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};
|
| 328 |
|
|
UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull}
|
| 329 |
|
|
};
|
| 330 |
|
|
UINT64 x_sign, y_sign, p_sign;
|
| 331 |
|
|
UINT64 x_exp, y_exp, p_exp;
|
| 332 |
|
|
int true_p_exp;
|
| 333 |
|
|
UINT128 C1, C2;
|
| 334 |
|
|
|
| 335 |
|
|
BID_SWAP128 (x);
|
| 336 |
|
|
BID_SWAP128 (y);
|
| 337 |
|
|
// skip cases where at least one operand is NaN or infinity
|
| 338 |
|
|
if (!(((x.w[1] & MASK_NAN) == MASK_NAN) ||
|
| 339 |
|
|
((y.w[1] & MASK_NAN) == MASK_NAN) ||
|
| 340 |
|
|
((x.w[1] & MASK_ANY_INF) == MASK_INF) ||
|
| 341 |
|
|
((y.w[1] & MASK_ANY_INF) == MASK_INF))) {
|
| 342 |
|
|
// x, y are 0 or f but not inf or NaN => unpack the arguments and check
|
| 343 |
|
|
// for non-canonical values
|
| 344 |
|
|
|
| 345 |
|
|
x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative
|
| 346 |
|
|
C1.w[1] = x.w[1] & MASK_COEFF;
|
| 347 |
|
|
C1.w[0] = x.w[0];
|
| 348 |
|
|
// check for non-canonical values - treated as zero
|
| 349 |
|
|
if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) {
|
| 350 |
|
|
// G0_G1=11 => non-canonical
|
| 351 |
|
|
x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits
|
| 352 |
|
|
C1.w[1] = 0; // significand high
|
| 353 |
|
|
C1.w[0] = 0; // significand low
|
| 354 |
|
|
} else { // G0_G1 != 11
|
| 355 |
|
|
x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits
|
| 356 |
|
|
if (C1.w[1] > 0x0001ed09bead87c0ull ||
|
| 357 |
|
|
(C1.w[1] == 0x0001ed09bead87c0ull &&
|
| 358 |
|
|
C1.w[0] > 0x378d8e63ffffffffull)) {
|
| 359 |
|
|
// x is non-canonical if coefficient is larger than 10^34 -1
|
| 360 |
|
|
C1.w[1] = 0;
|
| 361 |
|
|
C1.w[0] = 0;
|
| 362 |
|
|
} else { // canonical
|
| 363 |
|
|
;
|
| 364 |
|
|
}
|
| 365 |
|
|
}
|
| 366 |
|
|
y_sign = y.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative
|
| 367 |
|
|
C2.w[1] = y.w[1] & MASK_COEFF;
|
| 368 |
|
|
C2.w[0] = y.w[0];
|
| 369 |
|
|
// check for non-canonical values - treated as zero
|
| 370 |
|
|
if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) {
|
| 371 |
|
|
// G0_G1=11 => non-canonical
|
| 372 |
|
|
y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits
|
| 373 |
|
|
C2.w[1] = 0; // significand high
|
| 374 |
|
|
C2.w[0] = 0; // significand low
|
| 375 |
|
|
} else { // G0_G1 != 11
|
| 376 |
|
|
y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits
|
| 377 |
|
|
if (C2.w[1] > 0x0001ed09bead87c0ull ||
|
| 378 |
|
|
(C2.w[1] == 0x0001ed09bead87c0ull &&
|
| 379 |
|
|
C2.w[0] > 0x378d8e63ffffffffull)) {
|
| 380 |
|
|
// y is non-canonical if coefficient is larger than 10^34 -1
|
| 381 |
|
|
C2.w[1] = 0;
|
| 382 |
|
|
C2.w[0] = 0;
|
| 383 |
|
|
} else { // canonical
|
| 384 |
|
|
;
|
| 385 |
|
|
}
|
| 386 |
|
|
}
|
| 387 |
|
|
p_sign = x_sign ^ y_sign; // sign of the product
|
| 388 |
|
|
|
| 389 |
|
|
true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176;
|
| 390 |
|
|
// true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0
|
| 391 |
|
|
if (true_p_exp < -6176)
|
| 392 |
|
|
p_exp = 0; // cannot be less than EXP_MIN
|
| 393 |
|
|
else if (true_p_exp > 6111)
|
| 394 |
|
|
p_exp = (UINT64) (6111 + 6176) << 49; // cannot be more than EXP_MAX
|
| 395 |
|
|
else
|
| 396 |
|
|
p_exp = (UINT64) (true_p_exp + 6176) << 49;
|
| 397 |
|
|
|
| 398 |
|
|
if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) ||
|
| 399 |
|
|
(C2.w[1] == 0x0 && C2.w[0] == 0x0)) {
|
| 400 |
|
|
// x = 0 or y = 0
|
| 401 |
|
|
// the result is 0
|
| 402 |
|
|
res.w[1] = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX]
|
| 403 |
|
|
res.w[0] = 0x0;
|
| 404 |
|
|
BID_SWAP128 (res);
|
| 405 |
|
|
BID_RETURN (res)
|
| 406 |
|
|
} // else continue
|
| 407 |
|
|
}
|
| 408 |
|
|
|
| 409 |
|
|
BID_SWAP128 (x);
|
| 410 |
|
|
BID_SWAP128 (y);
|
| 411 |
|
|
BID_SWAP128 (z);
|
| 412 |
|
|
// swap x and y - ensure that a NaN in x has 'higher precedence' than one in y
|
| 413 |
|
|
#if DECIMAL_CALL_BY_REFERENCE
|
| 414 |
|
|
bid128_fma (&res, &y, &x, &z
|
| 415 |
|
|
_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
|
| 416 |
|
|
_EXC_INFO_ARG);
|
| 417 |
|
|
#else
|
| 418 |
|
|
res = bid128_fma (y, x, z
|
| 419 |
|
|
_RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG
|
| 420 |
|
|
_EXC_INFO_ARG);
|
| 421 |
|
|
#endif
|
| 422 |
|
|
BID_RETURN (res);
|
| 423 |
|
|
}
|
