183 lines
7.3 KiB
C
183 lines
7.3 KiB
C
|
|
||
|
|
/*============================================================================
|
||
|
|
|
||
|
|
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 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"
|
||
|
|
|
||
|
|
#ifdef SOFTFLOAT_FAST_INT64
|
||
|
|
|
||
|
|
void
|
||
|
|
f128M_rem( const float128_t *aPtr, const float128_t *bPtr, float128_t *zPtr )
|
||
|
|
{
|
||
|
|
|
||
|
|
*zPtr = f128_rem( *aPtr, *bPtr );
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#else
|
||
|
|
|
||
|
|
void
|
||
|
|
f128M_rem( const float128_t *aPtr, const float128_t *bPtr, float128_t *zPtr )
|
||
|
|
{
|
||
|
|
const uint32_t *aWPtr, *bWPtr;
|
||
|
|
uint32_t *zWPtr, uiA96;
|
||
|
|
int32_t expA, expB;
|
||
|
|
uint32_t x[4], rem1[5], *remPtr;
|
||
|
|
bool signRem;
|
||
|
|
int32_t expDiff;
|
||
|
|
uint32_t q, recip32;
|
||
|
|
uint64_t q64;
|
||
|
|
uint32_t rem2[5], *altRemPtr, *newRemPtr, wordMeanRem;
|
||
|
|
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
aWPtr = (const uint32_t *) aPtr;
|
||
|
|
bWPtr = (const uint32_t *) bPtr;
|
||
|
|
zWPtr = (uint32_t *) zPtr;
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
uiA96 = aWPtr[indexWordHi( 4 )];
|
||
|
|
expA = expF128UI96( uiA96 );
|
||
|
|
expB = expF128UI96( bWPtr[indexWordHi( 4 )] );
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
|
||
|
|
if ( softfloat_tryPropagateNaNF128M( aWPtr, bWPtr, zWPtr ) ) return;
|
||
|
|
if ( expA == 0x7FFF ) goto invalid;
|
||
|
|
goto copyA;
|
||
|
|
}
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
if ( expA < expB - 1 ) goto copyA;
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
expB = softfloat_shiftNormSigF128M( bWPtr, 13, x );
|
||
|
|
if ( expB == -128 ) goto invalid;
|
||
|
|
remPtr = &rem1[indexMultiwordLo( 5, 4 )];
|
||
|
|
expA = softfloat_shiftNormSigF128M( aWPtr, 13, remPtr );
|
||
|
|
if ( expA == -128 ) goto copyA;
|
||
|
|
signRem = signF128UI96( uiA96 );
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
expDiff = expA - expB;
|
||
|
|
if ( expDiff < 1 ) {
|
||
|
|
if ( expDiff < -1 ) goto copyA;
|
||
|
|
if ( expDiff ) {
|
||
|
|
--expB;
|
||
|
|
softfloat_add128M( x, x, x );
|
||
|
|
q = 0;
|
||
|
|
} else {
|
||
|
|
q = (softfloat_compare128M( x, remPtr ) <= 0);
|
||
|
|
if ( q ) softfloat_sub128M( remPtr, x, remPtr );
|
||
|
|
}
|
||
|
|
} else {
|
||
|
|
recip32 =
|
||
|
|
softfloat_approxRecip32_1(
|
||
|
|
((uint64_t) x[indexWord( 4, 3 )]<<32 | x[indexWord( 4, 2 )])
|
||
|
|
>>30
|
||
|
|
);
|
||
|
|
expDiff -= 30;
|
||
|
|
for (;;) {
|
||
|
|
q64 = (uint64_t) remPtr[indexWordHi( 4 )] * recip32;
|
||
|
|
if ( expDiff < 0 ) break;
|
||
|
|
q = (q64 + 0x80000000)>>32;
|
||
|
|
softfloat_remStep128MBy32( remPtr, 29, x, q, remPtr );
|
||
|
|
if ( remPtr[indexWordHi( 4 )] & 0x80000000 ) {
|
||
|
|
softfloat_add128M( remPtr, x, remPtr );
|
||
|
|
}
|
||
|
|
expDiff -= 29;
|
||
|
|
}
|
||
|
|
/*--------------------------------------------------------------------
|
||
|
|
| (`expDiff' cannot be less than -29 here.)
|
||
|
|
*--------------------------------------------------------------------*/
|
||
|
|
q = (uint32_t) (q64>>32)>>(~expDiff & 31);
|
||
|
|
softfloat_remStep128MBy32( remPtr, expDiff + 30, x, q, remPtr );
|
||
|
|
if ( remPtr[indexWordHi( 4 )] & 0x80000000 ) {
|
||
|
|
altRemPtr = &rem2[indexMultiwordLo( 5, 4 )];
|
||
|
|
softfloat_add128M( remPtr, x, altRemPtr );
|
||
|
|
goto selectRem;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
altRemPtr = &rem2[indexMultiwordLo( 5, 4 )];
|
||
|
|
do {
|
||
|
|
++q;
|
||
|
|
newRemPtr = altRemPtr;
|
||
|
|
softfloat_sub128M( remPtr, x, newRemPtr );
|
||
|
|
altRemPtr = remPtr;
|
||
|
|
remPtr = newRemPtr;
|
||
|
|
} while ( ! (remPtr[indexWordHi( 4 )] & 0x80000000) );
|
||
|
|
selectRem:
|
||
|
|
softfloat_add128M( remPtr, altRemPtr, x );
|
||
|
|
wordMeanRem = x[indexWordHi( 4 )];
|
||
|
|
if (
|
||
|
|
(wordMeanRem & 0x80000000)
|
||
|
|
|| (! wordMeanRem && (q & 1) && ! x[indexWord( 4, 0 )]
|
||
|
|
&& ! (x[indexWord( 4, 2 )] | x[indexWord( 4, 1 )]))
|
||
|
|
) {
|
||
|
|
remPtr = altRemPtr;
|
||
|
|
}
|
||
|
|
if ( remPtr[indexWordHi( 4 )] & 0x80000000 ) {
|
||
|
|
signRem = ! signRem;
|
||
|
|
softfloat_negX128M( remPtr );
|
||
|
|
}
|
||
|
|
remPtr -= indexMultiwordLo( 5, 4 );
|
||
|
|
remPtr[indexWordHi( 5 )] = 0;
|
||
|
|
softfloat_normRoundPackMToF128M( signRem, expB + 18, remPtr, zWPtr );
|
||
|
|
return;
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
invalid:
|
||
|
|
softfloat_invalidF128M( zWPtr );
|
||
|
|
return;
|
||
|
|
/*------------------------------------------------------------------------
|
||
|
|
*------------------------------------------------------------------------*/
|
||
|
|
copyA:
|
||
|
|
zWPtr[indexWordHi( 4 )] = uiA96;
|
||
|
|
zWPtr[indexWord( 4, 2 )] = aWPtr[indexWord( 4, 2 )];
|
||
|
|
zWPtr[indexWord( 4, 1 )] = aWPtr[indexWord( 4, 1 )];
|
||
|
|
zWPtr[indexWord( 4, 0 )] = aWPtr[indexWord( 4, 0 )];
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|