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			383 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			383 lines
		
	
	
		
			15 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| 
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| /*============================================================================
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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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| 
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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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| 
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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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| 
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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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| 
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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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| 
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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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| 
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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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| =============================================================================*/
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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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| 
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| void
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|  softfloat_mulAddF128M(
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|      const uint32_t *aWPtr,
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|      const uint32_t *bWPtr,
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|      const uint32_t *cWPtr,
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|      uint32_t *zWPtr,
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|      uint_fast8_t op
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|  )
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| {
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|     uint32_t uiA96;
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|     int32_t expA;
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|     uint32_t uiB96;
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|     int32_t expB;
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|     uint32_t uiC96;
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|     bool signC;
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|     int32_t expC;
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|     bool signProd, prodIsInfinite;
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|     uint32_t *ptr, uiZ96, sigA[4];
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|     uint_fast8_t shiftDist;
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|     uint32_t sigX[5];
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|     int32_t expProd;
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|     uint32_t sigProd[8], wordSig;
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|     bool doSub;
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|     uint_fast8_t
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|      (*addCarryMRoutinePtr)(
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|          uint_fast8_t,
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|          const uint32_t *,
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|          const uint32_t *,
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|          uint_fast8_t,
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|          uint32_t *
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|      );
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|     int32_t expDiff;
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|     bool signZ;
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|     int32_t expZ;
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|     uint32_t *extSigPtr;
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|     uint_fast8_t carry;
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|     void (*roundPackRoutinePtr)( bool, int32_t, uint32_t *, uint32_t * );
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| 
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     uiA96 = aWPtr[indexWordHi( 4 )];
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|     expA = expF128UI96( uiA96 );
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|     uiB96 = bWPtr[indexWordHi( 4 )];
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|     expB = expF128UI96( uiB96 );
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|     uiC96 = cWPtr[indexWordHi( 4 )];
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|     signC = signF128UI96( uiC96 ) ^ (op == softfloat_mulAdd_subC);
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|     expC = expF128UI96( uiC96 );
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|     signProd =
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|         signF128UI96( uiA96 ) ^ signF128UI96( uiB96 )
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|             ^ (op == softfloat_mulAdd_subProd);
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     prodIsInfinite = false;
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|     if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
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|         if ( softfloat_tryPropagateNaNF128M( aWPtr, bWPtr, zWPtr ) ) {
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|             goto propagateNaN_ZC;
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|         }
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|         ptr = (uint32_t *) aWPtr;
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|         if ( ! (uint32_t) (uiA96<<1) ) goto possibleInvalidProd;
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|         if ( ! (uint32_t) (uiB96<<1) ) {
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|             ptr = (uint32_t *) bWPtr;
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|      possibleInvalidProd:
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|             if (
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|                 ! (ptr[indexWord( 4, 2 )] | ptr[indexWord( 4, 1 )]
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|                        | ptr[indexWord( 4, 0 )])
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|             ) {
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|                 goto invalid;
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|             }
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|         }
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|         prodIsInfinite = true;
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|     }
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|     if ( expC == 0x7FFF ) {
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|         if (
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|             fracF128UI96( uiC96 )
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|                 || (cWPtr[indexWord( 4, 2 )] | cWPtr[indexWord( 4, 1 )]
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|                         | cWPtr[indexWord( 4, 0 )])
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|         ) {
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|             zWPtr[indexWordHi( 4 )] = 0;
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|             goto propagateNaN_ZC;
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|         }
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|         if ( prodIsInfinite && (signProd != signC) ) goto invalid;
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|         goto copyC;
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|     }
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|     if ( prodIsInfinite ) {
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|         uiZ96 = packToF128UI96( signProd, 0x7FFF, 0 );
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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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|         sigA[indexWordHi( 4 )] = fracF128UI96( uiA96 ) | 0x00010000;
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|         sigA[indexWord( 4, 2 )] = aWPtr[indexWord( 4, 2 )];
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|         sigA[indexWord( 4, 1 )] = aWPtr[indexWord( 4, 1 )];
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|         sigA[indexWord( 4, 0 )] = aWPtr[indexWord( 4, 0 )];
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|     } else {
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|         expA = softfloat_shiftNormSigF128M( aWPtr, 0, sigA );
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|         if ( expA == -128 ) goto zeroProd;
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|     }
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|     if ( expB ) {
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|         sigX[indexWordHi( 4 )] = fracF128UI96( uiB96 ) | 0x00010000;
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|         sigX[indexWord( 4, 2 )] = bWPtr[indexWord( 4, 2 )];
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|         sigX[indexWord( 4, 1 )] = bWPtr[indexWord( 4, 1 )];
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|         sigX[indexWord( 4, 0 )] = bWPtr[indexWord( 4, 0 )];
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|     } else {
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|         expB = softfloat_shiftNormSigF128M( bWPtr, 0, sigX );
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|         if ( expB == -128 ) goto zeroProd;
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|     }
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     expProd = expA + expB - 0x3FF0;
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|     softfloat_mul128MTo256M( sigA, sigX, sigProd );
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     wordSig = fracF128UI96( uiC96 );
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|     if ( expC ) {
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|         --expC;
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|         wordSig |= 0x00010000;
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|     }
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|     sigX[indexWordHi( 5 )] = wordSig;
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|     sigX[indexWord( 5, 3 )] = cWPtr[indexWord( 4, 2 )];
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|     sigX[indexWord( 5, 2 )] = cWPtr[indexWord( 4, 1 )];
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|     sigX[indexWord( 5, 1 )] = cWPtr[indexWord( 4, 0 )];
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     doSub = (signProd != signC);
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|     addCarryMRoutinePtr =
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|         doSub ? softfloat_addComplCarryM : softfloat_addCarryM;
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|     expDiff = expProd - expC;
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|     if ( expDiff <= 0 ) {
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|         /*--------------------------------------------------------------------
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|         *--------------------------------------------------------------------*/
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|         signZ = signC;
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|         expZ = expC;
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|         if (
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|             sigProd[indexWord( 8, 2 )]
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|                 || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
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|         ) {
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|             sigProd[indexWord( 8, 3 )] |= 1;
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|         }
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|         extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )];
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|         if ( expDiff ) {
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|             softfloat_shiftRightJam160M( extSigPtr, -expDiff, extSigPtr );
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|         }
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|         carry = 0;
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|         if ( doSub ) {
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|             wordSig = extSigPtr[indexWordLo( 5 )];
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|             extSigPtr[indexWordLo( 5 )] = -wordSig;
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|             carry = ! wordSig;
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|         }
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|         (*addCarryMRoutinePtr)(
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|             4,
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|             &sigX[indexMultiwordHi( 5, 4 )],
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|             extSigPtr + indexMultiwordHi( 5, 4 ),
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|             carry,
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|             extSigPtr + indexMultiwordHi( 5, 4 )
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|         );
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|         wordSig = extSigPtr[indexWordHi( 5 )];
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|         if ( ! expZ ) {
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|             if ( wordSig & 0x80000000 ) {
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|                 signZ = ! signZ;
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|                 softfloat_negX160M( extSigPtr );
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|                 wordSig = extSigPtr[indexWordHi( 5 )];
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|             }
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|             goto checkCancellation;
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|         }
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|         if ( wordSig < 0x00010000 ) {
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|             --expZ;
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|             softfloat_add160M( extSigPtr, extSigPtr, extSigPtr );
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|             goto roundPack;
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|         }
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|         goto extSigReady_noCancellation;
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|     } else {
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|         /*--------------------------------------------------------------------
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|         *--------------------------------------------------------------------*/
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|         signZ = signProd;
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|         expZ = expProd;
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|         sigX[indexWordLo( 5 )] = 0;
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|         expDiff -= 128;
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|         if ( 0 <= expDiff ) {
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|             /*----------------------------------------------------------------
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|             *----------------------------------------------------------------*/
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|             if ( expDiff ) softfloat_shiftRightJam160M( sigX, expDiff, sigX );
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|             wordSig = sigX[indexWordLo( 5 )];
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|             carry = 0;
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|             if ( doSub ) {
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|                 carry = ! wordSig;
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|                 wordSig = -wordSig;
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|             }
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|             carry =
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|                 (*addCarryMRoutinePtr)(
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|                     4,
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|                     &sigProd[indexMultiwordLo( 8, 4 )],
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|                     &sigX[indexMultiwordHi( 5, 4 )],
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|                     carry,
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|                     &sigProd[indexMultiwordLo( 8, 4 )]
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|                 );
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|             sigProd[indexWord( 8, 2 )] |= wordSig;
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|             ptr = &sigProd[indexWord( 8, 4 )];
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|         } else {
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|             /*----------------------------------------------------------------
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|             *----------------------------------------------------------------*/
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|             shiftDist = expDiff & 31;
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|             if ( shiftDist ) {
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|                 softfloat_shortShiftRight160M( sigX, shiftDist, sigX );
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|             }
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|             expDiff >>= 5;
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|             extSigPtr =
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|                 &sigProd[indexMultiwordLo( 8, 5 )] - wordIncr
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|                     + expDiff * -wordIncr;
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|             carry =
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|                 (*addCarryMRoutinePtr)( 5, extSigPtr, sigX, doSub, extSigPtr );
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|             if ( expDiff == -4 ) {
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|                 /*------------------------------------------------------------
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|                 *------------------------------------------------------------*/
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|                 wordSig = sigProd[indexWordHi( 8 )];
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|                 if ( wordSig & 0x80000000 ) {
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|                     signZ = ! signZ;
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|                     softfloat_negX256M( sigProd );
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|                     wordSig = sigProd[indexWordHi( 8 )];
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|                 }
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|                 /*------------------------------------------------------------
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|                 *------------------------------------------------------------*/
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|                 if ( wordSig ) goto expProdBigger_noWordShift;
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|                 wordSig = sigProd[indexWord( 8, 6 )];
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|                 if ( 0x00040000 <= wordSig ) goto expProdBigger_noWordShift;
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|                 expZ -= 32;
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|                 extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )] - wordIncr;
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|                 for (;;) {
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|                     if ( wordSig ) break;
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|                     wordSig = extSigPtr[indexWord( 5, 3 )];
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|                     if ( 0x00040000 <= wordSig ) break;
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|                     expZ -= 32;
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|                     extSigPtr -= wordIncr;
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|                     if ( extSigPtr == &sigProd[indexMultiwordLo( 8, 5 )] ) {
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|                         goto checkCancellation;
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|                     }
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|                 }
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|                 /*------------------------------------------------------------
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|                 *------------------------------------------------------------*/
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|                 ptr = extSigPtr + indexWordLo( 5 );
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|                 do {
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|                     ptr -= wordIncr;
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|                     if ( *ptr ) {
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|                         extSigPtr[indexWordLo( 5 )] |= 1;
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|                         break;
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|                     }
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|                 } while ( ptr != &sigProd[indexWordLo( 8 )] );
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|                 wordSig = extSigPtr[indexWordHi( 5 )];
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|                 goto extSigReady;
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|             }
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|             ptr = extSigPtr + indexWordHi( 5 ) + wordIncr;
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|         }
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|         /*--------------------------------------------------------------------
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|         *--------------------------------------------------------------------*/
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|         if ( carry != doSub ) {
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|             if ( doSub ) {
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|                 do {
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|                     wordSig = *ptr;
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|                     *ptr = wordSig - 1;
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|                     ptr += wordIncr;
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|                 } while ( ! wordSig );
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|             } else {
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|                 do {
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|                     wordSig = *ptr + 1;
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|                     *ptr = wordSig;
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|                     ptr += wordIncr;
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|                 } while ( ! wordSig );
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|             }
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|         }
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|         /*--------------------------------------------------------------------
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|         *--------------------------------------------------------------------*/
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|      expProdBigger_noWordShift:
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|         if (
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|             sigProd[indexWord( 8, 2 )]
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|                 || (sigProd[indexWord( 8, 1 )] | sigProd[indexWord( 8, 0 )])
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|         ) {
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|             sigProd[indexWord( 8, 3 )] |= 1;
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|         }
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|         extSigPtr = &sigProd[indexMultiwordHi( 8, 5 )];
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|         wordSig = extSigPtr[indexWordHi( 5 )];
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|     }
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|  extSigReady:
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|     roundPackRoutinePtr = softfloat_normRoundPackMToF128M;
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|     if ( wordSig < 0x00010000 ) goto doRoundPack;
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|  extSigReady_noCancellation:
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|     if ( 0x00020000 <= wordSig ) {
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|         ++expZ;
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|         softfloat_shortShiftRightJam160M( extSigPtr, 1, extSigPtr );
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|     }
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|  roundPack:
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|     roundPackRoutinePtr = softfloat_roundPackMToF128M;
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|  doRoundPack:
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|     (*roundPackRoutinePtr)( signZ, expZ, extSigPtr, zWPtr );
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|     return;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  invalid:
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|     softfloat_invalidF128M( zWPtr );
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|  propagateNaN_ZC:
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|     softfloat_propagateNaNF128M( zWPtr, cWPtr, zWPtr );
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|     return;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  zeroProd:
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|     if (
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|         ! (uint32_t) (uiC96<<1) && (signProd != signC)
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|             && ! cWPtr[indexWord( 4, 2 )]
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|             && ! (cWPtr[indexWord( 4, 1 )] | cWPtr[indexWord( 4, 0 )])
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|     ) {
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|         goto completeCancellation;
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|     }
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|  copyC:
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|     zWPtr[indexWordHi( 4 )] = uiC96;
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|     zWPtr[indexWord( 4, 2 )] = cWPtr[indexWord( 4, 2 )];
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|     zWPtr[indexWord( 4, 1 )] = cWPtr[indexWord( 4, 1 )];
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|     zWPtr[indexWord( 4, 0 )] = cWPtr[indexWord( 4, 0 )];
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|     return;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  checkCancellation:
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|     if (
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|         wordSig
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|             || (extSigPtr[indexWord( 5, 3 )] | extSigPtr[indexWord( 5, 2 )])
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|             || (extSigPtr[indexWord( 5, 1 )] | extSigPtr[indexWord( 5, 0 )])
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|     ) {
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|         goto extSigReady;
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|     }
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|  completeCancellation:
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|     uiZ96 =
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|         packToF128UI96(
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|             (softfloat_roundingMode == softfloat_round_min), 0, 0 );
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|  uiZ:
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|     zWPtr[indexWordHi( 4 )] = uiZ96;
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|     zWPtr[indexWord( 4, 2 )] = 0;
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|     zWPtr[indexWord( 4, 1 )] = 0;
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|     zWPtr[indexWord( 4, 0 )] = 0;
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| 
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| }
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| 
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