| |
| /*============================================================================ |
| |
| This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic |
| Package, Release 3d, 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; |
| |
| } |
| |
