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+
+/*============================================================================
+
+This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
+Package, Release 3e, by John R. Hauser.
+
+Copyright 2011, 2012, 2013, 2014, 2015, 2016 The Regents of the University of
+California. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ 1. Redistributions of source code must retain the above copyright notice,
+ this list of conditions, and the following disclaimer.
+
+ 2. Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions, and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+
+ 3. Neither the name of the University nor the names of its contributors may
+ be used to endorse or promote products derived from this software without
+ specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
+DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+=============================================================================*/
+
+#include <stdbool.h>
+#include <stdint.h>
+#include "platform.h"
+#include "internals.h"
+#include "specialize.h"
+#include "softfloat.h"
+
+float128_t
+ softfloat_mulAddF128(
+ uint_fast64_t uiA64,
+ uint_fast64_t uiA0,
+ uint_fast64_t uiB64,
+ uint_fast64_t uiB0,
+ uint_fast64_t uiC64,
+ uint_fast64_t uiC0,
+ uint_fast8_t op
+ )
+{
+ bool signA;
+ int_fast32_t expA;
+ struct uint128 sigA;
+ bool signB;
+ int_fast32_t expB;
+ struct uint128 sigB;
+ bool signC;
+ int_fast32_t expC;
+ struct uint128 sigC;
+ bool signZ;
+ uint_fast64_t magBits;
+ struct uint128 uiZ;
+ struct exp32_sig128 normExpSig;
+ int_fast32_t expZ;
+ uint64_t sig256Z[4];
+ struct uint128 sigZ;
+ int_fast32_t shiftDist, expDiff;
+ struct uint128 x128;
+ uint64_t sig256C[4];
+ static uint64_t zero256[4] = INIT_UINTM4( 0, 0, 0, 0 );
+ uint_fast64_t sigZExtra, sig256Z0;
+ union ui128_f128 uZ;
+
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ signA = signF128UI64( uiA64 );
+ expA = expF128UI64( uiA64 );
+ sigA.v64 = fracF128UI64( uiA64 );
+ sigA.v0 = uiA0;
+ signB = signF128UI64( uiB64 );
+ expB = expF128UI64( uiB64 );
+ sigB.v64 = fracF128UI64( uiB64 );
+ sigB.v0 = uiB0;
+ signC = signF128UI64( uiC64 ) ^ (op == softfloat_mulAdd_subC);
+ expC = expF128UI64( uiC64 );
+ sigC.v64 = fracF128UI64( uiC64 );
+ sigC.v0 = uiC0;
+ signZ = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( expA == 0x7FFF ) {
+ if (
+ (sigA.v64 | sigA.v0) || ((expB == 0x7FFF) && (sigB.v64 | sigB.v0))
+ ) {
+ goto propagateNaN_ABC;
+ }
+ magBits = expB | sigB.v64 | sigB.v0;
+ goto infProdArg;
+ }
+ if ( expB == 0x7FFF ) {
+ if ( sigB.v64 | sigB.v0 ) goto propagateNaN_ABC;
+ magBits = expA | sigA.v64 | sigA.v0;
+ goto infProdArg;
+ }
+ if ( expC == 0x7FFF ) {
+ if ( sigC.v64 | sigC.v0 ) {
+ uiZ.v64 = 0;
+ uiZ.v0 = 0;
+ goto propagateNaN_ZC;
+ }
+ uiZ.v64 = uiC64;
+ uiZ.v0 = uiC0;
+ goto uiZ;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( ! expA ) {
+ if ( ! (sigA.v64 | sigA.v0) ) goto zeroProd;
+ normExpSig = softfloat_normSubnormalF128Sig( sigA.v64, sigA.v0 );
+ expA = normExpSig.exp;
+ sigA = normExpSig.sig;
+ }
+ if ( ! expB ) {
+ if ( ! (sigB.v64 | sigB.v0) ) goto zeroProd;
+ normExpSig = softfloat_normSubnormalF128Sig( sigB.v64, sigB.v0 );
+ expB = normExpSig.exp;
+ sigB = normExpSig.sig;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ expZ = expA + expB - 0x3FFE;
+ sigA.v64 |= UINT64_C( 0x0001000000000000 );
+ sigB.v64 |= UINT64_C( 0x0001000000000000 );
+ sigA = softfloat_shortShiftLeft128( sigA.v64, sigA.v0, 8 );
+ sigB = softfloat_shortShiftLeft128( sigB.v64, sigB.v0, 15 );
+ softfloat_mul128To256M( sigA.v64, sigA.v0, sigB.v64, sigB.v0, sig256Z );
+ sigZ.v64 = sig256Z[indexWord( 4, 3 )];
+ sigZ.v0 = sig256Z[indexWord( 4, 2 )];
+ shiftDist = 0;
+ if ( ! (sigZ.v64 & UINT64_C( 0x0100000000000000 )) ) {
+ --expZ;
+ shiftDist = -1;
+ }
+ if ( ! expC ) {
+ if ( ! (sigC.v64 | sigC.v0) ) {
+ shiftDist += 8;
+ goto sigZ;
+ }
+ normExpSig = softfloat_normSubnormalF128Sig( sigC.v64, sigC.v0 );
+ expC = normExpSig.exp;
+ sigC = normExpSig.sig;
+ }
+ sigC.v64 |= UINT64_C( 0x0001000000000000 );
+ sigC = softfloat_shortShiftLeft128( sigC.v64, sigC.v0, 8 );
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ expDiff = expZ - expC;
+ if ( expDiff < 0 ) {
+ expZ = expC;
+ if ( (signZ == signC) || (expDiff < -1) ) {
+ shiftDist -= expDiff;
+ if ( shiftDist ) {
+ sigZ =
+ softfloat_shiftRightJam128( sigZ.v64, sigZ.v0, shiftDist );
+ }
+ } else {
+ if ( ! shiftDist ) {
+ x128 =
+ softfloat_shortShiftRight128(
+ sig256Z[indexWord( 4, 1 )], sig256Z[indexWord( 4, 0 )],
+ 1
+ );
+ sig256Z[indexWord( 4, 1 )] = (sigZ.v0<<63) | x128.v64;
+ sig256Z[indexWord( 4, 0 )] = x128.v0;
+ sigZ = softfloat_shortShiftRight128( sigZ.v64, sigZ.v0, 1 );
+ sig256Z[indexWord( 4, 3 )] = sigZ.v64;
+ sig256Z[indexWord( 4, 2 )] = sigZ.v0;
+ }
+ }
+ } else {
+ if ( shiftDist ) softfloat_add256M( sig256Z, sig256Z, sig256Z );
+ if ( ! expDiff ) {
+ sigZ.v64 = sig256Z[indexWord( 4, 3 )];
+ sigZ.v0 = sig256Z[indexWord( 4, 2 )];
+ } else {
+ sig256C[indexWord( 4, 3 )] = sigC.v64;
+ sig256C[indexWord( 4, 2 )] = sigC.v0;
+ sig256C[indexWord( 4, 1 )] = 0;
+ sig256C[indexWord( 4, 0 )] = 0;
+ softfloat_shiftRightJam256M( sig256C, expDiff, sig256C );
+ }
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ shiftDist = 8;
+ if ( signZ == signC ) {
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ if ( expDiff <= 0 ) {
+ sigZ = softfloat_add128( sigC.v64, sigC.v0, sigZ.v64, sigZ.v0 );
+ } else {
+ softfloat_add256M( sig256Z, sig256C, sig256Z );
+ sigZ.v64 = sig256Z[indexWord( 4, 3 )];
+ sigZ.v0 = sig256Z[indexWord( 4, 2 )];
+ }
+ if ( sigZ.v64 & UINT64_C( 0x0200000000000000 ) ) {
+ ++expZ;
+ shiftDist = 9;
+ }
+ } else {
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ if ( expDiff < 0 ) {
+ signZ = signC;
+ if ( expDiff < -1 ) {
+ sigZ =
+ softfloat_sub128( sigC.v64, sigC.v0, sigZ.v64, sigZ.v0 );
+ sigZExtra =
+ sig256Z[indexWord( 4, 1 )] | sig256Z[indexWord( 4, 0 )];
+ if ( sigZExtra ) {
+ sigZ = softfloat_sub128( sigZ.v64, sigZ.v0, 0, 1 );
+ }
+ if ( ! (sigZ.v64 & UINT64_C( 0x0100000000000000 )) ) {
+ --expZ;
+ shiftDist = 7;
+ }
+ goto shiftRightRoundPack;
+ } else {
+ sig256C[indexWord( 4, 3 )] = sigC.v64;
+ sig256C[indexWord( 4, 2 )] = sigC.v0;
+ sig256C[indexWord( 4, 1 )] = 0;
+ sig256C[indexWord( 4, 0 )] = 0;
+ softfloat_sub256M( sig256C, sig256Z, sig256Z );
+ }
+ } else if ( ! expDiff ) {
+ sigZ = softfloat_sub128( sigZ.v64, sigZ.v0, sigC.v64, sigC.v0 );
+ if (
+ ! (sigZ.v64 | sigZ.v0) && ! sig256Z[indexWord( 4, 1 )]
+ && ! sig256Z[indexWord( 4, 0 )]
+ ) {
+ goto completeCancellation;
+ }
+ sig256Z[indexWord( 4, 3 )] = sigZ.v64;
+ sig256Z[indexWord( 4, 2 )] = sigZ.v0;
+ if ( sigZ.v64 & UINT64_C( 0x8000000000000000 ) ) {
+ signZ = ! signZ;
+ softfloat_sub256M( zero256, sig256Z, sig256Z );
+ }
+ } else {
+ softfloat_sub256M( sig256Z, sig256C, sig256Z );
+ if ( 1 < expDiff ) {
+ sigZ.v64 = sig256Z[indexWord( 4, 3 )];
+ sigZ.v0 = sig256Z[indexWord( 4, 2 )];
+ if ( ! (sigZ.v64 & UINT64_C( 0x0100000000000000 )) ) {
+ --expZ;
+ shiftDist = 7;
+ }
+ goto sigZ;
+ }
+ }
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ sigZ.v64 = sig256Z[indexWord( 4, 3 )];
+ sigZ.v0 = sig256Z[indexWord( 4, 2 )];
+ sigZExtra = sig256Z[indexWord( 4, 1 )];
+ sig256Z0 = sig256Z[indexWord( 4, 0 )];
+ if ( sigZ.v64 ) {
+ if ( sig256Z0 ) sigZExtra |= 1;
+ } else {
+ expZ -= 64;
+ sigZ.v64 = sigZ.v0;
+ sigZ.v0 = sigZExtra;
+ sigZExtra = sig256Z0;
+ if ( ! sigZ.v64 ) {
+ expZ -= 64;
+ sigZ.v64 = sigZ.v0;
+ sigZ.v0 = sigZExtra;
+ sigZExtra = 0;
+ if ( ! sigZ.v64 ) {
+ expZ -= 64;
+ sigZ.v64 = sigZ.v0;
+ sigZ.v0 = 0;
+ }
+ }
+ }
+ shiftDist = softfloat_countLeadingZeros64( sigZ.v64 );
+ expZ += 7 - shiftDist;
+ shiftDist = 15 - shiftDist;
+ if ( 0 < shiftDist ) goto shiftRightRoundPack;
+ if ( shiftDist ) {
+ shiftDist = -shiftDist;
+ sigZ = softfloat_shortShiftLeft128( sigZ.v64, sigZ.v0, shiftDist );
+ x128 = softfloat_shortShiftLeft128( 0, sigZExtra, shiftDist );
+ sigZ.v0 |= x128.v64;
+ sigZExtra = x128.v0;
+ }
+ goto roundPack;
+ }
+ sigZ:
+ sigZExtra = sig256Z[indexWord( 4, 1 )] | sig256Z[indexWord( 4, 0 )];
+ shiftRightRoundPack:
+ sigZExtra = (uint64_t) (sigZ.v0<<(64 - shiftDist)) | (sigZExtra != 0);
+ sigZ = softfloat_shortShiftRight128( sigZ.v64, sigZ.v0, shiftDist );
+ roundPack:
+ return
+ softfloat_roundPackToF128(
+ signZ, expZ - 1, sigZ.v64, sigZ.v0, sigZExtra );
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ propagateNaN_ABC:
+ uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
+ goto propagateNaN_ZC;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ infProdArg:
+ if ( magBits ) {
+ uiZ.v64 = packToF128UI64( signZ, 0x7FFF, 0 );
+ uiZ.v0 = 0;
+ if ( expC != 0x7FFF ) goto uiZ;
+ if ( sigC.v64 | sigC.v0 ) goto propagateNaN_ZC;
+ if ( signZ == signC ) goto uiZ;
+ }
+ softfloat_raiseFlags( softfloat_flag_invalid );
+ uiZ.v64 = defaultNaNF128UI64;
+ uiZ.v0 = defaultNaNF128UI0;
+ propagateNaN_ZC:
+ uiZ = softfloat_propagateNaNF128UI( uiZ.v64, uiZ.v0, uiC64, uiC0 );
+ goto uiZ;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ zeroProd:
+ uiZ.v64 = uiC64;
+ uiZ.v0 = uiC0;
+ if ( ! (expC | sigC.v64 | sigC.v0) && (signZ != signC) ) {
+ completeCancellation:
+ uiZ.v64 =
+ packToF128UI64(
+ (softfloat_roundingMode == softfloat_round_min), 0, 0 );
+ uiZ.v0 = 0;
+ }
+ uiZ:
+ uZ.ui = uiZ;
+ return uZ.f;
+
+}
+