diff options
Diffstat (limited to 'softfloat/s_mulAddF128.c')
| -rw-r--r-- | softfloat/s_mulAddF128.c | 350 |
1 files changed, 350 insertions, 0 deletions
diff --git a/softfloat/s_mulAddF128.c b/softfloat/s_mulAddF128.c new file mode 100644 index 0000000..9b98b9f --- /dev/null +++ b/softfloat/s_mulAddF128.c @@ -0,0 +1,350 @@ + +/*============================================================================ + +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; + +} + |