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+
+/*============================================================================
+
+This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
+Package, Release 3a, by John R. Hauser.
+
+Copyright 2011, 2012, 2013, 2014, 2015 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"
+
+void
+ softfloat_mulAddF128M(
+ const uint32_t *aWPtr,
+ const uint32_t *bWPtr,
+ const uint32_t *cWPtr,
+ uint32_t *zWPtr,
+ uint_fast8_t op
+ )
+{
+ uint32_t uiA96;
+ int32_t expA;
+ uint32_t uiB96;
+ int32_t expB;
+ uint32_t uiC96;
+ bool signC;
+ int32_t expC;
+ bool signProd, prodIsInfinite;
+ uint32_t *ptr, uiZ96, sigA[4];
+ uint_fast8_t shiftCount;
+ uint32_t sigX[5];
+ int32_t expProd;
+ uint32_t sigProd[8], wordSig;
+ bool doSub;
+ uint_fast8_t
+ (*addCarryMRoutinePtr)(
+ uint_fast8_t,
+ const uint32_t *,
+ const uint32_t *,
+ uint_fast8_t,
+ uint32_t *
+ );
+ int32_t expDiff;
+ bool signZ;
+ int32_t expZ;
+ uint32_t *extSigPtr;
+ uint_fast8_t carry;
+ void (*roundPackRoutinePtr)( bool, int32_t, uint32_t *, uint32_t * );
+
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ uiA96 = aWPtr[indexWordHi( 4 )];
+ expA = expF128UI96( uiA96 );
+ uiB96 = bWPtr[indexWordHi( 4 )];
+ expB = expF128UI96( uiB96 );
+ uiC96 = cWPtr[indexWordHi( 4 )];
+ signC = signF128UI96( uiC96 ) ^ (op == softfloat_mulAdd_subC);
+ expC = expF128UI96( uiC96 );
+ signProd =
+ signF128UI96( uiA96 ) ^ signF128UI96( uiB96 )
+ ^ (op == softfloat_mulAdd_subProd);
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ prodIsInfinite = false;
+ if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
+ if ( softfloat_tryPropagateNaNF128M( aWPtr, bWPtr, zWPtr ) ) {
+ goto propagateNaN_ZC;
+ }
+ ptr = (uint32_t *) aWPtr;
+ if ( ! (uint32_t) (uiA96<<1) ) goto possibleInvalidProd;
+ if ( ! (uint32_t) (uiB96<<1) ) {
+ ptr = (uint32_t *) bWPtr;
+ possibleInvalidProd:
+ if (
+ ! (ptr[indexWord( 4, 2 )] | ptr[indexWord( 4, 1 )]
+ | ptr[indexWord( 4, 0 )])
+ ) {
+ goto invalid;
+ }
+ }
+ prodIsInfinite = true;
+ }
+ if ( expC == 0x7FFF ) {
+ if (
+ fracF128UI96( uiC96 )
+ || (cWPtr[indexWord( 4, 2 )] | cWPtr[indexWord( 4, 1 )]
+ | cWPtr[indexWord( 4, 0 )])
+ ) {
+ zWPtr[indexWordHi( 4 )] = 0;
+ goto propagateNaN_ZC;
+ }
+ if ( prodIsInfinite && (signProd != signC) ) goto invalid;
+ goto copyC;
+ }
+ if ( prodIsInfinite ) {
+ uiZ96 = packToF128UI96( signProd, 0x7FFF, 0 );
+ goto uiZ;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ if ( expA ) {
+ sigA[indexWordHi( 4 )] = fracF128UI96( uiA96 ) | 0x00010000;
+ sigA[indexWord( 4, 2 )] = aWPtr[indexWord( 4, 2 )];
+ sigA[indexWord( 4, 1 )] = aWPtr[indexWord( 4, 1 )];
+ sigA[indexWord( 4, 0 )] = aWPtr[indexWord( 4, 0 )];
+ } else {
+ expA = softfloat_shiftNormSigF128M( aWPtr, 0, sigA );
+ if ( expA == -128 ) goto zeroProd;
+ }
+ if ( expB ) {
+ sigX[indexWordHi( 4 )] = fracF128UI96( uiB96 ) | 0x00010000;
+ sigX[indexWord( 4, 2 )] = bWPtr[indexWord( 4, 2 )];
+ sigX[indexWord( 4, 1 )] = bWPtr[indexWord( 4, 1 )];
+ sigX[indexWord( 4, 0 )] = bWPtr[indexWord( 4, 0 )];
+ } else {
+ expB = softfloat_shiftNormSigF128M( bWPtr, 0, sigX );
+ if ( expB == -128 ) goto zeroProd;
+ }
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ expProd = expA + expB - 0x3FF0;
+ softfloat_mul128MTo256M( sigA, sigX, sigProd );
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ wordSig = fracF128UI96( uiC96 );
+ if ( expC ) {
+ --expC;
+ wordSig |= 0x00010000;
+ }
+ sigX[indexWordHi( 5 )] = wordSig;
+ sigX[indexWord( 5, 3 )] = cWPtr[indexWord( 4, 2 )];
+ sigX[indexWord( 5, 2 )] = cWPtr[indexWord( 4, 1 )];
+ sigX[indexWord( 5, 1 )] = cWPtr[indexWord( 4, 0 )];
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ doSub = (signProd != signC);
+ addCarryMRoutinePtr =
+ doSub ? softfloat_addComplCarryM : softfloat_addCarryM;
+ expDiff = expProd - expC;
+ if ( expDiff <= 0 ) {
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ signZ = signC;
+ expZ = expC;
+ if (
+ sigProd[indexWord( 8, 2 )]
+ || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
+ ) {
+ sigProd[indexWord( 8, 3 )] |= 1;
+ }
+ extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )];
+ if ( expDiff ) {
+ softfloat_shiftRightJam160M( extSigPtr, -expDiff, extSigPtr );
+ }
+ carry = 0;
+ if ( doSub ) {
+ wordSig = extSigPtr[indexWordLo( 5 )];
+ extSigPtr[indexWordLo( 5 )] = -wordSig;
+ carry = ! wordSig;
+ }
+ (*addCarryMRoutinePtr)(
+ 4,
+ &sigX[indexMultiwordHi( 5, 4 )],
+ extSigPtr + indexMultiwordHi( 5, 4 ),
+ carry,
+ extSigPtr + indexMultiwordHi( 5, 4 )
+ );
+ wordSig = extSigPtr[indexWordHi( 5 )];
+ if ( ! expZ ) {
+ if ( wordSig & 0x80000000 ) {
+ signZ = ! signZ;
+ softfloat_negX160M( extSigPtr );
+ wordSig = extSigPtr[indexWordHi( 5 )];
+ }
+ goto checkCancellation;
+ }
+ if ( wordSig < 0x00010000 ) {
+ --expZ;
+ softfloat_add160M( extSigPtr, extSigPtr, extSigPtr );
+ goto roundPack;
+ }
+ goto extSigReady_noCancellation;
+ } else {
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ signZ = signProd;
+ expZ = expProd;
+ sigX[indexWordLo( 5 )] = 0;
+ expDiff -= 128;
+ if ( 0 <= expDiff ) {
+ /*----------------------------------------------------------------
+ *----------------------------------------------------------------*/
+ if ( expDiff ) softfloat_shiftRightJam160M( sigX, expDiff, sigX );
+ wordSig = sigX[indexWordLo( 5 )];
+ carry = 0;
+ if ( doSub ) {
+ carry = ! wordSig;
+ wordSig = -wordSig;
+ }
+ carry =
+ (*addCarryMRoutinePtr)(
+ 4,
+ &sigProd[indexMultiwordLo( 8, 4 )],
+ &sigX[indexMultiwordHi( 5, 4 )],
+ carry,
+ &sigProd[indexMultiwordLo( 8, 4 )]
+ );
+ sigProd[indexWord( 8, 2 )] |= wordSig;
+ ptr = &sigProd[indexWord( 8, 4 )];
+ } else {
+ /*----------------------------------------------------------------
+ *----------------------------------------------------------------*/
+ shiftCount = expDiff & 31;
+ if ( shiftCount ) {
+ softfloat_shortShiftRight160M( sigX, shiftCount, sigX );
+ }
+ expDiff >>= 5;
+ extSigPtr =
+ &sigProd[indexMultiwordLo( 8, 5 )] - wordIncr
+ + expDiff * -wordIncr;
+ carry =
+ (*addCarryMRoutinePtr)( 5, extSigPtr, sigX, doSub, extSigPtr );
+ if ( expDiff == -4 ) {
+ /*------------------------------------------------------------
+ *------------------------------------------------------------*/
+ wordSig = sigProd[indexWordHi( 8 )];
+ if ( wordSig & 0x80000000 ) {
+ signZ = ! signZ;
+ softfloat_negX256M( sigProd );
+ wordSig = sigProd[indexWordHi( 8 )];
+ }
+ /*------------------------------------------------------------
+ *------------------------------------------------------------*/
+ if ( wordSig ) goto expProdBigger_noWordShift;
+ wordSig = sigProd[indexWord( 8, 6 )];
+ if ( 0x00040000 <= wordSig ) goto expProdBigger_noWordShift;
+ expZ -= 32;
+ extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )] - wordIncr;
+ for (;;) {
+ if ( wordSig ) break;
+ wordSig = extSigPtr[indexWord( 5, 3 )];
+ if ( 0x00040000 <= wordSig ) break;
+ expZ -= 32;
+ extSigPtr -= wordIncr;
+ if ( extSigPtr == &sigProd[indexMultiwordLo( 8, 5 )] ) {
+ goto checkCancellation;
+ }
+ }
+ /*------------------------------------------------------------
+ *------------------------------------------------------------*/
+ ptr = extSigPtr + indexWordLo( 5 );
+ do {
+ ptr -= wordIncr;
+ if ( *ptr ) {
+ extSigPtr[indexWordLo( 5 )] |= 1;
+ break;
+ }
+ } while ( ptr != &sigProd[indexWordLo( 8 )] );
+ wordSig = extSigPtr[indexWordHi( 5 )];
+ goto extSigReady;
+ }
+ ptr = extSigPtr + indexWordHi( 5 ) + wordIncr;
+ }
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ if ( carry != doSub ) {
+ if ( doSub ) {
+ do {
+ wordSig = *ptr;
+ *ptr = wordSig - 1;
+ ptr += wordIncr;
+ } while ( ! wordSig );
+ } else {
+ do {
+ wordSig = *ptr + 1;
+ *ptr = wordSig;
+ ptr += wordIncr;
+ } while ( ! wordSig );
+ }
+ }
+ /*--------------------------------------------------------------------
+ *--------------------------------------------------------------------*/
+ expProdBigger_noWordShift:
+ if (
+ sigProd[indexWord( 8, 2 )]
+ || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
+ ) {
+ sigProd[indexWord( 8, 3 )] |= 1;
+ }
+ extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )];
+ wordSig = extSigPtr[indexWordHi( 5 )];
+ }
+ extSigReady:
+ roundPackRoutinePtr = softfloat_normRoundPackMToF128M;
+ if ( wordSig < 0x00010000 ) goto doRoundPack;
+ extSigReady_noCancellation:
+ if ( 0x00020000 <= wordSig ) {
+ ++expZ;
+ softfloat_shortShiftRightJam160M( extSigPtr, 1, extSigPtr );
+ }
+ roundPack:
+ roundPackRoutinePtr = softfloat_roundPackMToF128M;
+ doRoundPack:
+ (*roundPackRoutinePtr)( signZ, expZ, extSigPtr, zWPtr );
+ return;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ invalid:
+ softfloat_invalidF128M( zWPtr );
+ propagateNaN_ZC:
+ softfloat_propagateNaNF128M( zWPtr, cWPtr, zWPtr );
+ return;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ zeroProd:
+ if (
+ ! (uint32_t) (uiC96<<1) && (signProd != signC)
+ && ! cWPtr[indexWord( 4, 2 )]
+ && ! (cWPtr[indexWord( 4, 1 )] | cWPtr[indexWord( 4, 0 )])
+ ) {
+ goto completeCancellation;
+ }
+ copyC:
+ zWPtr[indexWordHi( 4 )] = uiC96;
+ zWPtr[indexWord( 4, 2 )] = cWPtr[indexWord( 4, 2 )];
+ zWPtr[indexWord( 4, 1 )] = cWPtr[indexWord( 4, 1 )];
+ zWPtr[indexWord( 4, 0 )] = cWPtr[indexWord( 4, 0 )];
+ return;
+ /*------------------------------------------------------------------------
+ *------------------------------------------------------------------------*/
+ checkCancellation:
+ if (
+ wordSig
+ || (extSigPtr[indexWord( 5, 3 )] | extSigPtr[indexWord( 5, 2 )])
+ || (extSigPtr[indexWord( 5, 1 )] | extSigPtr[indexWord( 5, 0 )])
+ ) {
+ goto extSigReady;
+ }
+ completeCancellation:
+ uiZ96 =
+ packToF128UI96(
+ (softfloat_roundingMode == softfloat_round_min), 0, 0 );
+ uiZ:
+ zWPtr[indexWordHi( 4 )] = uiZ96;
+ zWPtr[indexWord( 4, 2 )] = 0;
+ zWPtr[indexWord( 4, 1 )] = 0;
+ zWPtr[indexWord( 4, 0 )] = 0;
+
+}
+