/* Copyright (C) 2007-2018 Free Software Foundation, Inc. This file is part of GCC. GCC is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version. GCC is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. Under Section 7 of GPL version 3, you are granted additional permissions described in the GCC Runtime Library Exception, version 3.1, as published by the Free Software Foundation. You should have received a copy of the GNU General Public License and a copy of the GCC Runtime Library Exception along with this program; see the files COPYING3 and COPYING.RUNTIME respectively. If not, see . */ #include "bid_internal.h" #if DECIMAL_CALL_BY_REFERENCE void bid64dq_mul (UINT64 * pres, UINT64 * px, UINT128 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT64 x = *px; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT64 bid64dq_mul (UINT64 x, UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT64 res = 0xbaddbaddbaddbaddull; UINT128 x1; #if DECIMAL_CALL_BY_REFERENCE bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); bid64qq_mul (&res, &x1, py _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); res = bid64qq_mul (x1, y _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); } #if DECIMAL_CALL_BY_REFERENCE void bid64qd_mul (UINT64 * pres, UINT128 * px, UINT64 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT64 y = *py; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT64 bid64qd_mul (UINT128 x, UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT64 res = 0xbaddbaddbaddbaddull; UINT128 y1; #if DECIMAL_CALL_BY_REFERENCE bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); bid64qq_mul (&res, px, &y1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); res = bid64qq_mul (x, y1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); } #if DECIMAL_CALL_BY_REFERENCE void bid64qq_mul (UINT64 * pres, UINT128 * px, UINT128 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT128 x = *px, y = *py; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT64 bid64qq_mul (UINT128 x, UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull} }; UINT64 res = 0xbaddbaddbaddbaddull; UINT64 x_sign, y_sign, p_sign; UINT64 x_exp, y_exp, p_exp; int true_p_exp; UINT128 C1, C2; BID_SWAP128 (z); // skip cases where at least one operand is NaN or infinity if (!(((x.w[HIGH_128W] & MASK_NAN) == MASK_NAN) || ((y.w[HIGH_128W] & MASK_NAN) == MASK_NAN) || ((x.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF) || ((y.w[HIGH_128W] & MASK_ANY_INF) == MASK_INF))) { // x, y are 0 or f but not inf or NaN => unpack the arguments and check // for non-canonical values x_sign = x.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative C1.w[1] = x.w[HIGH_128W] & MASK_COEFF; C1.w[0] = x.w[LOW_128W]; // check for non-canonical values - treated as zero if ((x.w[HIGH_128W] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 => non-canonical x_exp = (x.w[HIGH_128W] << 2) & MASK_EXP; // biased and shifted left 49 bits C1.w[1] = 0; // significand high C1.w[0] = 0; // significand low } else { // G0_G1 != 11 x_exp = x.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits if (C1.w[1] > 0x0001ed09bead87c0ull || (C1.w[1] == 0x0001ed09bead87c0ull && C1.w[0] > 0x378d8e63ffffffffull)) { // x is non-canonical if coefficient is larger than 10^34 -1 C1.w[1] = 0; C1.w[0] = 0; } else { // canonical ; } } y_sign = y.w[HIGH_128W] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative C2.w[1] = y.w[HIGH_128W] & MASK_COEFF; C2.w[0] = y.w[LOW_128W]; // check for non-canonical values - treated as zero if ((y.w[HIGH_128W] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 => non-canonical y_exp = (y.w[HIGH_128W] << 2) & MASK_EXP; // biased and shifted left 49 bits C2.w[1] = 0; // significand high C2.w[0] = 0; // significand low } else { // G0_G1 != 11 y_exp = y.w[HIGH_128W] & MASK_EXP; // biased and shifted left 49 bits if (C2.w[1] > 0x0001ed09bead87c0ull || (C2.w[1] == 0x0001ed09bead87c0ull && C2.w[0] > 0x378d8e63ffffffffull)) { // y is non-canonical if coefficient is larger than 10^34 -1 C2.w[1] = 0; C2.w[0] = 0; } else { // canonical ; } } p_sign = x_sign ^ y_sign; // sign of the product true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176; // true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0 if (true_p_exp < -398) p_exp = 0; // cannot be less than EXP_MIN else if (true_p_exp > 369) p_exp = (UINT64) (369 + 398) << 53; // cannot be more than EXP_MAX else p_exp = (UINT64) (true_p_exp + 398) << 53; if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) || (C2.w[1] == 0x0 && C2.w[0] == 0x0)) { // x = 0 or y = 0 // the result is 0 res = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX] BID_RETURN (res) } // else continue } // swap x and y - ensure that a NaN in x has 'higher precedence' than one in y #if DECIMAL_CALL_BY_REFERENCE bid64qqq_fma (&res, &y, &x, &z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else res = bid64qqq_fma (y, x, z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); } #if DECIMAL_CALL_BY_REFERENCE void bid128dd_mul (UINT128 * pres, UINT64 * px, UINT64 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT64 x = *px, y = *py; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT128 bid128dd_mul (UINT64 x, UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; UINT128 x1, y1; #if DECIMAL_CALL_BY_REFERENCE bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); bid128_mul (&res, &x1, &y1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); res = bid128_mul (x1, y1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); } #if DECIMAL_CALL_BY_REFERENCE void bid128dq_mul (UINT128 * pres, UINT64 * px, UINT128 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT64 x = *px; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT128 bid128dq_mul (UINT64 x, UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; UINT128 x1; #if DECIMAL_CALL_BY_REFERENCE bid64_to_bid128 (&x1, &x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); bid128_mul (&res, &x1, py _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else x1 = bid64_to_bid128 (x _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); res = bid128_mul (x1, y _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); } #if DECIMAL_CALL_BY_REFERENCE void bid128qd_mul (UINT128 * pres, UINT128 * px, UINT64 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT64 y = *py; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT128 bid128qd_mul (UINT128 x, UINT64 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; UINT128 y1; #if DECIMAL_CALL_BY_REFERENCE bid64_to_bid128 (&y1, &y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); bid128_mul (&res, px, &y1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else y1 = bid64_to_bid128 (y _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); res = bid128_mul (x, y1 _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); } // bid128_mul stands for bid128qq_mul #if DECIMAL_CALL_BY_REFERENCE void bid128_mul (UINT128 * pres, UINT128 * px, UINT128 * py _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { UINT128 x = *px, y = *py; #if !DECIMAL_GLOBAL_ROUNDING unsigned int rnd_mode = *prnd_mode; #endif #else UINT128 bid128_mul (UINT128 x, UINT128 y _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM _EXC_INFO_PARAM) { #endif UINT128 z = { {0x0000000000000000ull, 0x5ffe000000000000ull} }; UINT128 res = { {0xbaddbaddbaddbaddull, 0xbaddbaddbaddbaddull} }; UINT64 x_sign, y_sign, p_sign; UINT64 x_exp, y_exp, p_exp; int true_p_exp; UINT128 C1, C2; BID_SWAP128 (x); BID_SWAP128 (y); // skip cases where at least one operand is NaN or infinity if (!(((x.w[1] & MASK_NAN) == MASK_NAN) || ((y.w[1] & MASK_NAN) == MASK_NAN) || ((x.w[1] & MASK_ANY_INF) == MASK_INF) || ((y.w[1] & MASK_ANY_INF) == MASK_INF))) { // x, y are 0 or f but not inf or NaN => unpack the arguments and check // for non-canonical values x_sign = x.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative C1.w[1] = x.w[1] & MASK_COEFF; C1.w[0] = x.w[0]; // check for non-canonical values - treated as zero if ((x.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 => non-canonical x_exp = (x.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits C1.w[1] = 0; // significand high C1.w[0] = 0; // significand low } else { // G0_G1 != 11 x_exp = x.w[1] & MASK_EXP; // biased and shifted left 49 bits if (C1.w[1] > 0x0001ed09bead87c0ull || (C1.w[1] == 0x0001ed09bead87c0ull && C1.w[0] > 0x378d8e63ffffffffull)) { // x is non-canonical if coefficient is larger than 10^34 -1 C1.w[1] = 0; C1.w[0] = 0; } else { // canonical ; } } y_sign = y.w[1] & MASK_SIGN; // 0 for positive, MASK_SIGN for negative C2.w[1] = y.w[1] & MASK_COEFF; C2.w[0] = y.w[0]; // check for non-canonical values - treated as zero if ((y.w[1] & 0x6000000000000000ull) == 0x6000000000000000ull) { // G0_G1=11 => non-canonical y_exp = (y.w[1] << 2) & MASK_EXP; // biased and shifted left 49 bits C2.w[1] = 0; // significand high C2.w[0] = 0; // significand low } else { // G0_G1 != 11 y_exp = y.w[1] & MASK_EXP; // biased and shifted left 49 bits if (C2.w[1] > 0x0001ed09bead87c0ull || (C2.w[1] == 0x0001ed09bead87c0ull && C2.w[0] > 0x378d8e63ffffffffull)) { // y is non-canonical if coefficient is larger than 10^34 -1 C2.w[1] = 0; C2.w[0] = 0; } else { // canonical ; } } p_sign = x_sign ^ y_sign; // sign of the product true_p_exp = (x_exp >> 49) - 6176 + (y_exp >> 49) - 6176; // true_p_exp, p_exp are used only for 0 * 0, 0 * f, or f * 0 if (true_p_exp < -6176) p_exp = 0; // cannot be less than EXP_MIN else if (true_p_exp > 6111) p_exp = (UINT64) (6111 + 6176) << 49; // cannot be more than EXP_MAX else p_exp = (UINT64) (true_p_exp + 6176) << 49; if ((C1.w[1] == 0x0 && C1.w[0] == 0x0) || (C2.w[1] == 0x0 && C2.w[0] == 0x0)) { // x = 0 or y = 0 // the result is 0 res.w[1] = p_sign | p_exp; // preferred exponent in [EXP_MIN, EXP_MAX] res.w[0] = 0x0; BID_SWAP128 (res); BID_RETURN (res) } // else continue } BID_SWAP128 (x); BID_SWAP128 (y); BID_SWAP128 (z); // swap x and y - ensure that a NaN in x has 'higher precedence' than one in y #if DECIMAL_CALL_BY_REFERENCE bid128_fma (&res, &y, &x, &z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #else res = bid128_fma (y, x, z _RND_MODE_ARG _EXC_FLAGS_ARG _EXC_MASKS_ARG _EXC_INFO_ARG); #endif BID_RETURN (res); }