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			200 lines
		
	
	
		
			7.8 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			200 lines
		
	
	
		
			7.8 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 The Regents of the University of California.
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| 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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| float128_t f128_div( float128_t a, float128_t b )
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| {
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|     union ui128_f128 uA;
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|     uint_fast64_t uiA64, uiA0;
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|     bool signA;
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|     int_fast32_t expA;
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|     struct uint128 sigA;
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|     union ui128_f128 uB;
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|     uint_fast64_t uiB64, uiB0;
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|     bool signB;
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|     int_fast32_t expB;
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|     struct uint128 sigB;
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|     bool signZ;
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|     struct exp32_sig128 normExpSig;
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|     int_fast32_t expZ;
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|     struct uint128 rem;
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|     uint_fast32_t recip32;
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|     int ix;
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|     uint_fast64_t q64;
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|     uint_fast32_t q;
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|     struct uint128 term;
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|     uint_fast32_t qs[3];
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|     uint_fast64_t sigZExtra;
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|     struct uint128 sigZ, uiZ;
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|     union ui128_f128 uZ;
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| 
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     uA.f = a;
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|     uiA64 = uA.ui.v64;
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|     uiA0  = uA.ui.v0;
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|     signA = signF128UI64( uiA64 );
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|     expA  = expF128UI64( uiA64 );
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|     sigA.v64 = fracF128UI64( uiA64 );
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|     sigA.v0  = uiA0;
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|     uB.f = b;
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|     uiB64 = uB.ui.v64;
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|     uiB0  = uB.ui.v0;
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|     signB = signF128UI64( uiB64 );
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|     expB  = expF128UI64( uiB64 );
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|     sigB.v64 = fracF128UI64( uiB64 );
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|     sigB.v0  = uiB0;
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|     signZ = signA ^ signB;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     if ( expA == 0x7FFF ) {
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|         if ( sigA.v64 | sigA.v0 ) goto propagateNaN;
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|         if ( expB == 0x7FFF ) {
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|             if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
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|             goto invalid;
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|         }
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|         goto infinity;
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|     }
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|     if ( expB == 0x7FFF ) {
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|         if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
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|         goto zero;
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|     }
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     if ( ! expB ) {
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|         if ( ! (sigB.v64 | sigB.v0) ) {
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|             if ( ! (expA | sigA.v64 | sigA.v0) ) goto invalid;
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|             softfloat_raiseFlags( softfloat_flag_infinite );
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|             goto infinity;
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|         }
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|         normExpSig = softfloat_normSubnormalF128Sig( sigB.v64, sigB.v0 );
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|         expB = normExpSig.exp;
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|         sigB = normExpSig.sig;
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|     }
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|     if ( ! expA ) {
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|         if ( ! (sigA.v64 | sigA.v0) ) goto zero;
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|         normExpSig = softfloat_normSubnormalF128Sig( sigA.v64, sigA.v0 );
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|         expA = normExpSig.exp;
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|         sigA = normExpSig.sig;
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|     }
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     expZ = expA - expB + 0x3FFE;
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|     sigA.v64 |= UINT64_C( 0x0001000000000000 );
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|     sigB.v64 |= UINT64_C( 0x0001000000000000 );
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|     rem = sigA;
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|     if ( softfloat_lt128( sigA.v64, sigA.v0, sigB.v64, sigB.v0 ) ) {
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|         --expZ;
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|         rem = softfloat_add128( sigA.v64, sigA.v0, sigA.v64, sigA.v0 );
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|     }
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|     recip32 = softfloat_approxRecip32_1( sigB.v64>>17 );
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|     ix = 3;
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|     for (;;) {
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|         q64 = (uint_fast64_t) (uint32_t) (rem.v64>>19) * recip32;
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|         q = (q64 + 0x80000000)>>32;
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|         --ix;
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|         if ( ix < 0 ) break;
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|         rem = softfloat_shortShiftLeft128( rem.v64, rem.v0, 29 );
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|         term = softfloat_mul128By32( sigB.v64, sigB.v0, q );
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|         rem = softfloat_sub128( rem.v64, rem.v0, term.v64, term.v0 );
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|         if ( rem.v64 & UINT64_C( 0x8000000000000000 ) ) {
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|             --q;
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|             rem = softfloat_add128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
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|         }
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|         qs[ix] = q;
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|     }
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     if ( ((q + 1) & 7) < 2 ) {
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|         rem = softfloat_shortShiftLeft128( rem.v64, rem.v0, 29 );
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|         term = softfloat_mul128By32( sigB.v64, sigB.v0, q );
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|         rem = softfloat_sub128( rem.v64, rem.v0, term.v64, term.v0 );
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|         if ( rem.v64 & UINT64_C( 0x8000000000000000 ) ) {
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|             --q;
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|             rem = softfloat_add128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
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|         } else if ( softfloat_le128( sigB.v64, sigB.v0, rem.v64, rem.v0 ) ) {
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|             ++q;
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|             rem = softfloat_sub128( rem.v64, rem.v0, sigB.v64, sigB.v0 );
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|         }
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|         if ( rem.v64 | rem.v0 ) q |= 1;
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|     }
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|     sigZExtra = (uint64_t) ((uint_fast64_t) q<<60);
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|     term = softfloat_shortShiftLeft128( 0, qs[1], 54 );
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|     sigZ =
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|         softfloat_add128(
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|             (uint_fast64_t) qs[2]<<19, ((uint_fast64_t) qs[0]<<25) + (q>>4),
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|             term.v64, term.v0
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|         );
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|     return
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|         softfloat_roundPackToF128( signZ, expZ, sigZ.v64, sigZ.v0, sigZExtra );
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  propagateNaN:
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|     uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
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|     goto uiZ;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  invalid:
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|     softfloat_raiseFlags( softfloat_flag_invalid );
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|     uiZ.v64 = defaultNaNF128UI64;
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|     uiZ.v0  = defaultNaNF128UI0;
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|     goto uiZ;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  infinity:
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|     uiZ.v64 = packToF128UI64( signZ, 0x7FFF, 0 );
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|     goto uiZ0;
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|     /*------------------------------------------------------------------------
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|     *------------------------------------------------------------------------*/
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|  zero:
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|     uiZ.v64 = packToF128UI64( signZ, 0, 0 );
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|  uiZ0:
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|     uiZ.v0 = 0;
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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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| }
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| 
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