extFloat80_t
softfloat_subMagsExtF80(
uint_fast16_t uiA64,
uint_fast64_t uiA0,
uint_fast16_t uiB64,
uint_fast64_t uiB0,
bool signZ
)
{
int_fast32_t expA;
uint_fast64_t sigA;
int_fast32_t expB;
uint_fast64_t sigB;
int_fast32_t expDiff;
uint_fast16_t uiZ64;
uint_fast64_t uiZ0;
int_fast32_t expZ;
uint_fast64_t sigExtra;
struct uint128 sig128, uiZ;
union { struct extFloat80M s; extFloat80_t f; } uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expA = expExtF80UI64( uiA64 );
sigA = uiA0;
expB = expExtF80UI64( uiB64 );
sigB = uiB0;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expDiff = expA - expB;
if ( 0 < expDiff ) goto expABigger;
if ( expDiff < 0 ) goto expBBigger;
if ( expA == 0x7FFF ) {
if ( (sigA | sigB) & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) {
goto propagateNaN;
}
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ64 = defaultNaNExtF80UI64;
uiZ0 = defaultNaNExtF80UI0;
goto uiZ;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expZ = expA;
if ( ! expZ ) expZ = 1;
sigExtra = 0;
if ( sigB < sigA ) goto aBigger;
if ( sigA < sigB ) goto bBigger;
uiZ64 =
packToExtF80UI64( (softfloat_roundingMode == softfloat_round_min), 0 );
uiZ0 = 0;
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expBBigger:
if ( expB == 0x7FFF ) {
if ( sigB & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) goto propagateNaN;
uiZ64 = packToExtF80UI64( signZ ^ 1, 0x7FFF );
uiZ0 = UINT64_C( 0x8000000000000000 );
goto uiZ;
}
if ( ! expA ) {
++expDiff;
sigExtra = 0;
if ( ! expDiff ) goto newlyAlignedBBigger;
}
sig128 = softfloat_shiftRightJam128( sigA, 0, -expDiff );
sigA = sig128.v64;
sigExtra = sig128.v0;
newlyAlignedBBigger:
expZ = expB;
bBigger:
signZ ^= 1;
sig128 = softfloat_sub128( sigB, 0, sigA, sigExtra );
goto normRoundPack;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expABigger:
if ( expA == 0x7FFF ) {
if ( sigA & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) goto propagateNaN;
uiZ64 = uiA64;
uiZ0 = uiA0;
goto uiZ;
}
if ( ! expB ) {
--expDiff;
sigExtra = 0;
if ( ! expDiff ) goto newlyAlignedABigger;
}
sig128 = softfloat_shiftRightJam128( sigB, 0, expDiff );
sigB = sig128.v64;
sigExtra = sig128.v0;
newlyAlignedABigger:
expZ = expA;
aBigger:
sig128 = softfloat_sub128( sigA, 0, sigB, sigExtra );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
normRoundPack:
return
softfloat_normRoundPackToExtF80(
signZ, expZ, sig128.v64, sig128.v0, extF80_roundingPrecision );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
propagateNaN:
uiZ = softfloat_propagateNaNExtF80UI( uiA64, uiA0, uiB64, uiB0 );
uiZ64 = uiZ.v64;
uiZ0 = uiZ.v0;
uiZ:
uZ.s.signExp = uiZ64;
uZ.s.signif = uiZ0;
return uZ.f;
}
float64_t
softfloat_mulAddF64(
uint_fast64_t uiA, uint_fast64_t uiB, uint_fast64_t uiC, uint_fast8_t op )
{
bool signA;
int_fast16_t expA;
uint_fast64_t sigA;
bool signB;
int_fast16_t expB;
uint_fast64_t sigB;
bool signC;
int_fast16_t expC;
uint_fast64_t sigC;
bool signZ;
uint_fast64_t magBits, uiZ;
struct exp16_sig64 normExpSig;
int_fast16_t expZ;
struct uint128 sig128Z;
uint_fast64_t sigZ;
int_fast16_t expDiff;
struct uint128 sig128C;
int_fast8_t shiftCount;
union ui64_f64 uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
signA = signF64UI( uiA );
expA = expF64UI( uiA );
sigA = fracF64UI( uiA );
signB = signF64UI( uiB );
expB = expF64UI( uiB );
sigB = fracF64UI( uiB );
signC = signF64UI( uiC ) ^ (op == softfloat_mulAdd_subC);
expC = expF64UI( uiC );
sigC = fracF64UI( uiC );
signZ = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( expA == 0x7FF ) {
if ( sigA || ((expB == 0x7FF) && sigB) ) goto propagateNaN_ABC;
magBits = expB | sigB;
goto infProdArg;
}
if ( expB == 0x7FF ) {
if ( sigB ) goto propagateNaN_ABC;
magBits = expA | sigA;
goto infProdArg;
}
if ( expC == 0x7FF ) {
if ( sigC ) {
uiZ = 0;
goto propagateNaN_ZC;
}
uiZ = uiC;
goto uiZ;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( ! expA ) {
if ( ! sigA ) goto zeroProd;
normExpSig = softfloat_normSubnormalF64Sig( sigA );
expA = normExpSig.exp;
sigA = normExpSig.sig;
}
if ( ! expB ) {
if ( ! sigB ) goto zeroProd;
normExpSig = softfloat_normSubnormalF64Sig( sigB );
expB = normExpSig.exp;
sigB = normExpSig.sig;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expZ = expA + expB - 0x3FE;
sigA = (sigA | UINT64_C( 0x0010000000000000 ))<<10;
sigB = (sigB | UINT64_C( 0x0010000000000000 ))<<10;
sig128Z = softfloat_mul64To128( sigA, sigB );
if ( sig128Z.v64 < UINT64_C( 0x2000000000000000 ) ) {
--expZ;
sig128Z =
softfloat_add128(
sig128Z.v64, sig128Z.v0, sig128Z.v64, sig128Z.v0 );
}
if ( ! expC ) {
if ( ! sigC ) {
--expZ;
sigZ = sig128Z.v64<<1 | (sig128Z.v0 != 0);
goto roundPack;
}
normExpSig = softfloat_normSubnormalF64Sig( sigC );
expC = normExpSig.exp;
sigC = normExpSig.sig;
}
sigC = (sigC | UINT64_C( 0x0010000000000000 ))<<9;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expDiff = expZ - expC;
if ( expDiff < 0 ) {
expZ = expC;
if ( (signZ == signC) || (expDiff < -1) ) {
sig128Z.v64 = softfloat_shiftRightJam64( sig128Z.v64, -expDiff );
} else {
sig128Z =
softfloat_shortShiftRightJam128( sig128Z.v64, sig128Z.v0, 1 );
}
} else if ( expDiff ) {
sig128C = softfloat_shiftRightJam128( sigC, 0, expDiff );
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( signZ == signC ) {
/*--------------------------------------------------------------------
*--------------------------------------------------------------------*/
if ( expDiff <= 0 ) {
sigZ = (sigC + sig128Z.v64) | (sig128Z.v0 != 0);
} else {
sig128Z =
softfloat_add128(
sig128Z.v64, sig128Z.v0, sig128C.v64, sig128C.v0 );
sigZ = sig128Z.v64 | (sig128Z.v0 != 0);
}
if ( sigZ < UINT64_C( 0x4000000000000000 ) ) {
--expZ;
sigZ <<= 1;
}
} else {
/*--------------------------------------------------------------------
*--------------------------------------------------------------------*/
if ( expDiff < 0 ) {
signZ = signC;
sig128Z = softfloat_sub128( sigC, 0, sig128Z.v64, sig128Z.v0 );
} else if ( ! expDiff ) {
sig128Z.v64 = sig128Z.v64 - sigC;
if ( ! (sig128Z.v64 | sig128Z.v0) ) goto completeCancellation;
if ( sig128Z.v64 & UINT64_C( 0x8000000000000000 ) ) {
signZ ^= 1;
sig128Z = softfloat_sub128( 0, 0, sig128Z.v64, sig128Z.v0 );
}
} else {
sig128Z =
softfloat_sub128(
sig128Z.v64, sig128Z.v0, sig128C.v64, sig128C.v0 );
}
/*--------------------------------------------------------------------
*--------------------------------------------------------------------*/
if ( ! sig128Z.v64 ) {
expZ -= 64;
sig128Z.v64 = sig128Z.v0;
sig128Z.v0 = 0;
}
shiftCount = softfloat_countLeadingZeros64( sig128Z.v64 ) - 1;
expZ -= shiftCount;
if ( shiftCount < 0 ) {
sigZ = softfloat_shortShiftRightJam64( sig128Z.v64, -shiftCount );
} else {
sig128Z =
softfloat_shortShiftLeft128(
sig128Z.v64, sig128Z.v0, shiftCount );
sigZ = sig128Z.v64;
}
sigZ |= (sig128Z.v0 != 0);
}
roundPack:
return softfloat_roundPackToF64( signZ, expZ, sigZ );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
propagateNaN_ABC:
uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
goto propagateNaN_ZC;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
infProdArg:
if ( magBits ) {
uiZ = packToF64UI( signZ, 0x7FF, 0 );
if ( expC != 0x7FF ) goto uiZ;
if ( sigC ) goto propagateNaN_ZC;
if ( signZ == signC ) goto uiZ;
}
invalid:
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ = defaultNaNF64UI;
propagateNaN_ZC:
uiZ = softfloat_propagateNaNF64UI( uiZ, uiC );
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
zeroProd:
uiZ = uiC;
if ( ! (expC | sigC) && (signZ != signC) ) {
completeCancellation:
uiZ =
packToF64UI( softfloat_roundingMode == softfloat_round_min, 0, 0 );
}
uiZ:
uZ.ui = uiZ;
return uZ.f;
}
float128_t
softfloat_subMagsF128(
uint_fast64_t uiA64,
uint_fast64_t uiA0,
uint_fast64_t uiB64,
uint_fast64_t uiB0,
bool signZ
)
{
int_fast32_t expA;
struct uint128 sigA;
int_fast32_t expB;
struct uint128 sigB, sigZ;
int_fast32_t expDiff, expZ;
struct uint128 uiZ;
union ui128_f128 uZ;
expA = expF128UI64( uiA64 );
sigA.v64 = fracF128UI64( uiA64 );
sigA.v0 = uiA0;
expB = expF128UI64( uiB64 );
sigB.v64 = fracF128UI64( uiB64 );
sigB.v0 = uiB0;
sigA = softfloat_shortShiftLeft128( sigA.v64, sigA.v0, 4 );
sigB = softfloat_shortShiftLeft128( sigB.v64, sigB.v0, 4 );
expDiff = expA - expB;
if ( 0 < expDiff ) goto expABigger;
if ( expDiff < 0 ) goto expBBigger;
if ( expA == 0x7FFF ) {
if ( sigA.v64 | sigA.v0 | sigB.v64 | sigB.v0 ) goto propagateNaN;
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ.v64 = defaultNaNF128UI64;
uiZ.v0 = defaultNaNF128UI0;
goto uiZ;
}
expZ = expA;
if ( ! expZ ) expZ = 1;
if ( sigB.v64 < sigA.v64 ) goto aBigger;
if ( sigA.v64 < sigB.v64 ) goto bBigger;
if ( sigB.v0 < sigA.v0 ) goto aBigger;
if ( sigA.v0 < sigB.v0 ) goto bBigger;
uiZ.v64 =
packToF128UI64(
(softfloat_roundingMode == softfloat_round_min), 0, 0 );
uiZ.v0 = 0;
goto uiZ;
expBBigger:
if ( expB == 0x7FFF ) {
if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
uiZ.v64 = packToF128UI64( signZ ^ 1, 0x7FFF, 0 );
uiZ.v0 = 0;
goto uiZ;
}
if ( expA ) {
sigA.v64 |= UINT64_C( 0x0010000000000000 );
} else {
++expDiff;
if ( ! expDiff ) goto newlyAlignedBBigger;
}
sigA = softfloat_shiftRightJam128( sigA.v64, sigA.v0, -expDiff );
newlyAlignedBBigger:
expZ = expB;
sigB.v64 |= UINT64_C( 0x0010000000000000 );
bBigger:
signZ = ! signZ;
sigZ = softfloat_sub128( sigB.v64, sigB.v0, sigA.v64, sigA.v0 );
goto normRoundPack;
expABigger:
if ( expA == 0x7FFF ) {
if ( sigA.v64 | sigA.v0 ) goto propagateNaN;
uiZ.v64 = uiA64;
uiZ.v0 = uiA0;
goto uiZ;
}
if ( expB ) {
sigB.v64 |= UINT64_C( 0x0010000000000000 );
} else {
--expDiff;
if ( ! expDiff ) goto newlyAlignedABigger;
}
sigB = softfloat_shiftRightJam128( sigB.v64, sigB.v0, expDiff );
newlyAlignedABigger:
expZ = expA;
sigA.v64 |= UINT64_C( 0x0010000000000000 );
aBigger:
sigZ = softfloat_sub128( sigA.v64, sigA.v0, sigB.v64, sigB.v0 );
normRoundPack:
return softfloat_normRoundPackToF128( signZ, expZ - 5, sigZ.v64, sigZ.v0 );
propagateNaN:
uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
uiZ:
uZ.ui = uiZ;
return uZ.f;
}
