2024-07-29 15:33:50 +02:00
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/*============================================================================
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This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
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Package, Release 3e, by John R. Hauser.
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Copyright 2011, 2012, 2013, 2014, 2015, 2016 The Regents of the University of
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California. All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are met:
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1. Redistributions of source code must retain the above copyright notice,
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this list of conditions, and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright notice,
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this list of conditions, and the following disclaimer in the documentation
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and/or other materials provided with the distribution.
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3. Neither the name of the University nor the names of its contributors may
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be used to endorse or promote products derived from this software without
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specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
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EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
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DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
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DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
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ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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=============================================================================*/
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#include <stdbool.h>
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#include <stdint.h>
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#include "platform.h"
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#include "internals.h"
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#include "specialize.h"
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#include "softfloat.h"
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#ifdef SOFTFLOAT_FAST_INT64
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float64_t
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softfloat_mulAddF64(
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uint_fast64_t uiA, uint_fast64_t uiB, uint_fast64_t uiC, uint_fast8_t op )
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{
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bool signA;
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int_fast16_t expA;
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uint_fast64_t sigA;
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bool signB;
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int_fast16_t expB;
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uint_fast64_t sigB;
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bool signC;
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int_fast16_t expC;
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uint_fast64_t sigC;
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bool signZ;
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uint_fast64_t magBits, uiZ;
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struct exp16_sig64 normExpSig;
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int_fast16_t expZ;
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struct uint128 sig128Z;
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uint_fast64_t sigZ;
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int_fast16_t expDiff;
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struct uint128 sig128C;
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int_fast8_t shiftDist;
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union ui64_f64 uZ;
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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signA = signF64UI( uiA );
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expA = expF64UI( uiA );
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sigA = fracF64UI( uiA );
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signB = signF64UI( uiB );
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expB = expF64UI( uiB );
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sigB = fracF64UI( uiB );
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signC = signF64UI( uiC ) ^ (op == softfloat_mulAdd_subC);
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expC = expF64UI( uiC );
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sigC = fracF64UI( uiC );
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signZ = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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if ( expA == 0x7FF ) {
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if ( sigA || ((expB == 0x7FF) && sigB) ) goto propagateNaN_ABC;
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magBits = expB | sigB;
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goto infProdArg;
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}
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if ( expB == 0x7FF ) {
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if ( sigB ) goto propagateNaN_ABC;
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magBits = expA | sigA;
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goto infProdArg;
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}
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if ( expC == 0x7FF ) {
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if ( sigC ) {
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uiZ = 0;
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goto propagateNaN_ZC;
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}
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uiZ = uiC;
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goto uiZ;
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}
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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if ( ! expA ) {
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if ( ! sigA ) goto zeroProd;
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normExpSig = softfloat_normSubnormalF64Sig( sigA );
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expA = normExpSig.exp;
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sigA = normExpSig.sig;
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}
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if ( ! expB ) {
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if ( ! sigB ) goto zeroProd;
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normExpSig = softfloat_normSubnormalF64Sig( sigB );
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expB = normExpSig.exp;
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sigB = normExpSig.sig;
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}
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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expZ = expA + expB - 0x3FE;
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sigA = (sigA | UINT64_C( 0x0010000000000000 ))<<10;
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sigB = (sigB | UINT64_C( 0x0010000000000000 ))<<10;
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sig128Z = softfloat_mul64To128( sigA, sigB );
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if ( sig128Z.v64 < UINT64_C( 0x2000000000000000 ) ) {
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--expZ;
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sig128Z =
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softfloat_add128(
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sig128Z.v64, sig128Z.v0, sig128Z.v64, sig128Z.v0 );
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}
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if ( ! expC ) {
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if ( ! sigC ) {
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--expZ;
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sigZ = sig128Z.v64<<1 | (sig128Z.v0 != 0);
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goto roundPack;
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}
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normExpSig = softfloat_normSubnormalF64Sig( sigC );
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expC = normExpSig.exp;
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sigC = normExpSig.sig;
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}
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sigC = (sigC | UINT64_C( 0x0010000000000000 ))<<9;
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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expDiff = expZ - expC;
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if ( expDiff < 0 ) {
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expZ = expC;
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if ( (signZ == signC) || (expDiff < -1) ) {
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sig128Z.v64 = softfloat_shiftRightJam64( sig128Z.v64, -expDiff );
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} else {
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sig128Z =
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softfloat_shortShiftRightJam128( sig128Z.v64, sig128Z.v0, 1 );
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}
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} else if ( expDiff ) {
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sig128C = softfloat_shiftRightJam128( sigC, 0, expDiff );
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}
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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if ( signZ == signC ) {
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/*--------------------------------------------------------------------
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*--------------------------------------------------------------------*/
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if ( expDiff <= 0 ) {
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sigZ = (sigC + sig128Z.v64) | (sig128Z.v0 != 0);
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} else {
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sig128Z =
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softfloat_add128(
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sig128Z.v64, sig128Z.v0, sig128C.v64, sig128C.v0 );
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sigZ = sig128Z.v64 | (sig128Z.v0 != 0);
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}
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if ( sigZ < UINT64_C( 0x4000000000000000 ) ) {
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--expZ;
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sigZ <<= 1;
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}
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} else {
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/*--------------------------------------------------------------------
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*--------------------------------------------------------------------*/
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if ( expDiff < 0 ) {
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signZ = signC;
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sig128Z = softfloat_sub128( sigC, 0, sig128Z.v64, sig128Z.v0 );
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} else if ( ! expDiff ) {
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sig128Z.v64 = sig128Z.v64 - sigC;
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if ( ! (sig128Z.v64 | sig128Z.v0) ) goto completeCancellation;
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if ( sig128Z.v64 & UINT64_C( 0x8000000000000000 ) ) {
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signZ = ! signZ;
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sig128Z = softfloat_sub128( 0, 0, sig128Z.v64, sig128Z.v0 );
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}
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} else {
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sig128Z =
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softfloat_sub128(
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sig128Z.v64, sig128Z.v0, sig128C.v64, sig128C.v0 );
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}
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/*--------------------------------------------------------------------
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*--------------------------------------------------------------------*/
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if ( ! sig128Z.v64 ) {
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expZ -= 64;
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sig128Z.v64 = sig128Z.v0;
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sig128Z.v0 = 0;
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}
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shiftDist = softfloat_countLeadingZeros64( sig128Z.v64 ) - 1;
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expZ -= shiftDist;
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if ( shiftDist < 0 ) {
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sigZ = softfloat_shortShiftRightJam64( sig128Z.v64, -shiftDist );
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} else {
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sig128Z =
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softfloat_shortShiftLeft128(
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sig128Z.v64, sig128Z.v0, shiftDist );
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sigZ = sig128Z.v64;
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}
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sigZ |= (sig128Z.v0 != 0);
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}
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roundPack:
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return softfloat_roundPackToF64( signZ, expZ, sigZ );
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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propagateNaN_ABC:
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uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
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goto propagateNaN_ZC;
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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infProdArg:
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if ( magBits ) {
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uiZ = packToF64UI( signZ, 0x7FF, 0 );
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if ( expC != 0x7FF ) goto uiZ;
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if ( sigC ) goto propagateNaN_ZC;
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if ( signZ == signC ) goto uiZ;
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}
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softfloat_raiseFlags( softfloat_flag_invalid );
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uiZ = defaultNaNF64UI;
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propagateNaN_ZC:
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uiZ = softfloat_propagateNaNF64UI( uiZ, uiC );
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goto uiZ;
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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zeroProd:
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uiZ = uiC;
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if ( ! (expC | sigC) && (signZ != signC) ) {
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completeCancellation:
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uiZ =
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packToF64UI(
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(softfloat_roundingMode == softfloat_round_min), 0, 0 );
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}
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uiZ:
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uZ.ui = uiZ;
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return uZ.f;
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}
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#else
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float64_t
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softfloat_mulAddF64(
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uint_fast64_t uiA, uint_fast64_t uiB, uint_fast64_t uiC, uint_fast8_t op )
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{
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bool signA;
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int_fast16_t expA;
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uint64_t sigA;
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bool signB;
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int_fast16_t expB;
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uint64_t sigB;
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bool signC;
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int_fast16_t expC;
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uint64_t sigC;
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bool signZ;
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uint64_t magBits, uiZ;
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struct exp16_sig64 normExpSig;
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int_fast16_t expZ;
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uint32_t sig128Z[4];
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uint64_t sigZ;
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int_fast16_t shiftDist, expDiff;
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uint32_t sig128C[4];
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union ui64_f64 uZ;
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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signA = signF64UI( uiA );
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expA = expF64UI( uiA );
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sigA = fracF64UI( uiA );
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signB = signF64UI( uiB );
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expB = expF64UI( uiB );
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sigB = fracF64UI( uiB );
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signC = signF64UI( uiC ) ^ (op == softfloat_mulAdd_subC);
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expC = expF64UI( uiC );
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sigC = fracF64UI( uiC );
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signZ = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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if ( expA == 0x7FF ) {
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if ( sigA || ((expB == 0x7FF) && sigB) ) goto propagateNaN_ABC;
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magBits = expB | sigB;
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goto infProdArg;
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}
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if ( expB == 0x7FF ) {
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if ( sigB ) goto propagateNaN_ABC;
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magBits = expA | sigA;
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goto infProdArg;
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}
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if ( expC == 0x7FF ) {
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if ( sigC ) {
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uiZ = 0;
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goto propagateNaN_ZC;
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}
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uiZ = uiC;
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goto uiZ;
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}
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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if ( ! expA ) {
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if ( ! sigA ) goto zeroProd;
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normExpSig = softfloat_normSubnormalF64Sig( sigA );
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expA = normExpSig.exp;
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sigA = normExpSig.sig;
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}
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if ( ! expB ) {
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if ( ! sigB ) goto zeroProd;
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normExpSig = softfloat_normSubnormalF64Sig( sigB );
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expB = normExpSig.exp;
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sigB = normExpSig.sig;
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}
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/*------------------------------------------------------------------------
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*------------------------------------------------------------------------*/
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expZ = expA + expB - 0x3FE;
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sigA = (sigA | UINT64_C( 0x0010000000000000 ))<<10;
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sigB = (sigB | UINT64_C( 0x0010000000000000 ))<<11;
|
|
|
|
|
softfloat_mul64To128M( sigA, sigB, sig128Z );
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32 | sig128Z[indexWord( 4, 2 )];
|
|
|
|
|
shiftDist = 0;
|
|
|
|
|
if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
|
|
|
|
|
--expZ;
|
|
|
|
|
shiftDist = -1;
|
|
|
|
|
}
|
|
|
|
|
if ( ! expC ) {
|
|
|
|
|
if ( ! sigC ) {
|
|
|
|
|
if ( shiftDist ) sigZ <<= 1;
|
|
|
|
|
goto sigZ;
|
|
|
|
|
}
|
|
|
|
|
normExpSig = softfloat_normSubnormalF64Sig( sigC );
|
|
|
|
|
expC = normExpSig.exp;
|
|
|
|
|
sigC = normExpSig.sig;
|
|
|
|
|
}
|
|
|
|
|
sigC = (sigC | UINT64_C( 0x0010000000000000 ))<<10;
|
|
|
|
|
/*------------------------------------------------------------------------
|
|
|
|
|
*------------------------------------------------------------------------*/
|
|
|
|
|
expDiff = expZ - expC;
|
|
|
|
|
if ( expDiff < 0 ) {
|
|
|
|
|
expZ = expC;
|
|
|
|
|
if ( (signZ == signC) || (expDiff < -1) ) {
|
|
|
|
|
shiftDist -= expDiff;
|
|
|
|
|
if ( shiftDist) {
|
|
|
|
|
sigZ = softfloat_shiftRightJam64( sigZ, shiftDist );
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
if ( ! shiftDist ) {
|
|
|
|
|
softfloat_shortShiftRight128M( sig128Z, 1, sig128Z );
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
if ( shiftDist ) softfloat_add128M( sig128Z, sig128Z, sig128Z );
|
|
|
|
|
if ( ! expDiff ) {
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
|
|
|
|
|
| sig128Z[indexWord( 4, 2 )];
|
|
|
|
|
} else {
|
|
|
|
|
sig128C[indexWord( 4, 3 )] = sigC>>32;
|
|
|
|
|
sig128C[indexWord( 4, 2 )] = sigC;
|
|
|
|
|
sig128C[indexWord( 4, 1 )] = 0;
|
|
|
|
|
sig128C[indexWord( 4, 0 )] = 0;
|
|
|
|
|
softfloat_shiftRightJam128M( sig128C, expDiff, sig128C );
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
/*------------------------------------------------------------------------
|
|
|
|
|
*------------------------------------------------------------------------*/
|
|
|
|
|
if ( signZ == signC ) {
|
|
|
|
|
/*--------------------------------------------------------------------
|
|
|
|
|
*--------------------------------------------------------------------*/
|
|
|
|
|
if ( expDiff <= 0 ) {
|
|
|
|
|
sigZ += sigC;
|
|
|
|
|
} else {
|
|
|
|
|
softfloat_add128M( sig128Z, sig128C, sig128Z );
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
|
|
|
|
|
| sig128Z[indexWord( 4, 2 )];
|
|
|
|
|
}
|
|
|
|
|
if ( sigZ & UINT64_C( 0x8000000000000000 ) ) {
|
|
|
|
|
++expZ;
|
|
|
|
|
sigZ = softfloat_shortShiftRightJam64( sigZ, 1 );
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
/*--------------------------------------------------------------------
|
|
|
|
|
*--------------------------------------------------------------------*/
|
|
|
|
|
if ( expDiff < 0 ) {
|
|
|
|
|
signZ = signC;
|
|
|
|
|
if ( expDiff < -1 ) {
|
|
|
|
|
sigZ = sigC - sigZ;
|
|
|
|
|
if (
|
|
|
|
|
sig128Z[indexWord( 4, 1 )] || sig128Z[indexWord( 4, 0 )]
|
|
|
|
|
) {
|
|
|
|
|
sigZ = (sigZ - 1) | 1;
|
|
|
|
|
}
|
|
|
|
|
if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
|
|
|
|
|
--expZ;
|
|
|
|
|
sigZ <<= 1;
|
|
|
|
|
}
|
|
|
|
|
goto roundPack;
|
|
|
|
|
} else {
|
|
|
|
|
sig128C[indexWord( 4, 3 )] = sigC>>32;
|
|
|
|
|
sig128C[indexWord( 4, 2 )] = sigC;
|
|
|
|
|
sig128C[indexWord( 4, 1 )] = 0;
|
|
|
|
|
sig128C[indexWord( 4, 0 )] = 0;
|
|
|
|
|
softfloat_sub128M( sig128C, sig128Z, sig128Z );
|
|
|
|
|
}
|
|
|
|
|
} else if ( ! expDiff ) {
|
|
|
|
|
sigZ -= sigC;
|
|
|
|
|
if (
|
|
|
|
|
! sigZ && ! sig128Z[indexWord( 4, 1 )]
|
|
|
|
|
&& ! sig128Z[indexWord( 4, 0 )]
|
|
|
|
|
) {
|
|
|
|
|
goto completeCancellation;
|
|
|
|
|
}
|
|
|
|
|
sig128Z[indexWord( 4, 3 )] = sigZ>>32;
|
|
|
|
|
sig128Z[indexWord( 4, 2 )] = sigZ;
|
|
|
|
|
if ( sigZ & UINT64_C( 0x8000000000000000 ) ) {
|
|
|
|
|
signZ = ! signZ;
|
|
|
|
|
softfloat_negX128M( sig128Z );
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
softfloat_sub128M( sig128Z, sig128C, sig128Z );
|
|
|
|
|
if ( 1 < expDiff ) {
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
|
|
|
|
|
| sig128Z[indexWord( 4, 2 )];
|
|
|
|
|
if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
|
|
|
|
|
--expZ;
|
|
|
|
|
sigZ <<= 1;
|
|
|
|
|
}
|
|
|
|
|
goto sigZ;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
/*--------------------------------------------------------------------
|
|
|
|
|
*--------------------------------------------------------------------*/
|
|
|
|
|
shiftDist = 0;
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
|
|
|
|
|
| sig128Z[indexWord( 4, 2 )];
|
|
|
|
|
if ( ! sigZ ) {
|
|
|
|
|
shiftDist = 64;
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 1 )]<<32
|
|
|
|
|
| sig128Z[indexWord( 4, 0 )];
|
|
|
|
|
}
|
|
|
|
|
shiftDist += softfloat_countLeadingZeros64( sigZ ) - 1;
|
|
|
|
|
if ( shiftDist ) {
|
|
|
|
|
expZ -= shiftDist;
|
|
|
|
|
softfloat_shiftLeft128M( sig128Z, shiftDist, sig128Z );
|
|
|
|
|
sigZ =
|
|
|
|
|
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
|
|
|
|
|
| sig128Z[indexWord( 4, 2 )];
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
sigZ:
|
|
|
|
|
if ( sig128Z[indexWord( 4, 1 )] || sig128Z[indexWord( 4, 0 )] ) sigZ |= 1;
|
|
|
|
|
roundPack:
|
|
|
|
|
return softfloat_roundPackToF64( signZ, expZ - 1, sigZ );
|
|
|
|
|
/*------------------------------------------------------------------------
|
|
|
|
|
*------------------------------------------------------------------------*/
|
|
|
|
|
propagateNaN_ABC:
|
|
|
|
|
uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
|
|
|
|
|
goto propagateNaN_ZC;
|
|
|
|
|
/*------------------------------------------------------------------------
|
|
|
|
|
*------------------------------------------------------------------------*/
|
|
|
|
|
infProdArg:
|
|
|
|
|
if ( magBits ) {
|
|
|
|
|
uiZ = packToF64UI( signZ, 0x7FF, 0 );
|
|
|
|
|
if ( expC != 0x7FF ) goto uiZ;
|
|
|
|
|
if ( sigC ) goto propagateNaN_ZC;
|
|
|
|
|
if ( signZ == signC ) goto uiZ;
|
|
|
|
|
}
|
|
|
|
|
softfloat_raiseFlags( softfloat_flag_invalid );
|
|
|
|
|
uiZ = defaultNaNF64UI;
|
|
|
|
|
propagateNaN_ZC:
|
|
|
|
|
uiZ = softfloat_propagateNaNF64UI( uiZ, uiC );
|
|
|
|
|
goto uiZ;
|
|
|
|
|
/*------------------------------------------------------------------------
|
|
|
|
|
*------------------------------------------------------------------------*/
|
|
|
|
|
zeroProd:
|
|
|
|
|
uiZ = uiC;
|
|
|
|
|
if ( ! (expC | sigC) && (signZ != signC) ) {
|
|
|
|
|
completeCancellation:
|
|
|
|
|
uiZ =
|
|
|
|
|
packToF64UI(
|
|
|
|
|
(softfloat_roundingMode == softfloat_round_min), 0, 0 );
|
|
|
|
|
}
|
|
|
|
|
uiZ:
|
|
|
|
|
uZ.ui = uiZ;
|
|
|
|
|
return uZ.f;
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
#endif
|
|
|
|
|
|
