float64_t f64_mul( float64_t a, float64_t b )
{
union ui64_f64 uA;
uint_fast64_t uiA;
bool signA;
int_fast16_t expA;
uint_fast64_t sigA;
union ui64_f64 uB;
uint_fast64_t uiB;
bool signB;
int_fast16_t expB;
uint_fast64_t sigB;
bool signZ;
uint_fast64_t magBits;
struct exp16_sig64 normExpSig;
int_fast16_t expZ;
#ifdef SOFTFLOAT_FAST_INT64
struct uint128 sig128Z;
#else
uint32_t sig128Z[4];
#endif
uint_fast64_t sigZ, uiZ;
union ui64_f64 uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
uA.f = a;
uiA = uA.ui;
signA = signF64UI( uiA );
expA = expF64UI( uiA );
sigA = fracF64UI( uiA );
uB.f = b;
uiB = uB.ui;
signB = signF64UI( uiB );
expB = expF64UI( uiB );
sigB = fracF64UI( uiB );
signZ = signA ^ signB;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( expA == 0x7FF ) {
if ( sigA || ((expB == 0x7FF) && sigB) ) goto propagateNaN;
magBits = expB | sigB;
goto infArg;
}
if ( expB == 0x7FF ) {
if ( sigB ) goto propagateNaN;
magBits = expA | sigA;
goto infArg;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( ! expA ) {
if ( ! sigA ) goto zero;
normExpSig = softfloat_normSubnormalF64Sig( sigA );
expA = normExpSig.exp;
sigA = normExpSig.sig;
}
if ( ! expB ) {
if ( ! sigB ) goto zero;
normExpSig = softfloat_normSubnormalF64Sig( sigB );
expB = normExpSig.exp;
sigB = normExpSig.sig;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expZ = expA + expB - 0x3FF;
sigA = (sigA | UINT64_C( 0x0010000000000000 ))<<10;
sigB = (sigB | UINT64_C( 0x0010000000000000 ))<<11;
#ifdef SOFTFLOAT_FAST_INT64
sig128Z = softfloat_mul64To128( sigA, sigB );
sigZ = sig128Z.v64 | (sig128Z.v0 != 0);
#else
softfloat_mul64To128M( sigA, sigB, sig128Z );
sigZ =
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32 | sig128Z[indexWord( 4, 2 )];
if ( sig128Z[indexWord( 4, 1 )] || sig128Z[indexWord( 4, 0 )] ) sigZ |= 1;
#endif
if ( sigZ < UINT64_C( 0x4000000000000000 ) ) {
--expZ;
sigZ <<= 1;
}
return softfloat_roundPackToF64( signZ, expZ, sigZ );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
propagateNaN:
uiZ = softfloat_propagateNaNF64UI( uiA, uiB );
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
infArg:
if ( ! magBits ) {
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ = defaultNaNF64UI;
} else {
uiZ = packToF64UI( signZ, 0x7FF, 0 );
}
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
zero:
uiZ = packToF64UI( signZ, 0, 0 );
uiZ:
uZ.ui = uiZ;
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;
uint64_t sigA;
bool signB;
int_fast16_t expB;
uint64_t sigB;
bool signC;
int_fast16_t expC;
uint64_t sigC;
bool signZ;
uint64_t magBits, uiZ;
struct exp16_sig64 normExpSig;
int_fast16_t expZ;
uint32_t sig128Z[4];
uint64_t sigZ;
int_fast16_t shiftCount, expDiff;
uint32_t sig128C[4];
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 ))<<11;
softfloat_mul64To128M( sigA, sigB, sig128Z );
sigZ =
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32 | sig128Z[indexWord( 4, 2 )];
shiftCount = 0;
if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
--expZ;
shiftCount = -1;
}
if ( ! expC ) {
if ( ! sigC ) {
if ( shiftCount ) sigZ <<= 1;
goto sigZ;
}
normExpSig = softfloat_normSubnormalF64Sig( sigC );
expC = normExpSig.exp;
sigC = normExpSig.sig;
}
sigC = (sigC | UINT64_C( 0x0010000000000000 ))<<10;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expDiff = expZ - expC;
if ( expDiff < 0 ) {
expZ = expC;
if ( (signZ == signC) || (expDiff < -1) ) {
shiftCount -= expDiff;
if ( shiftCount) {
sigZ = softfloat_shiftRightJam64( sigZ, shiftCount );
}
} else {
if ( ! shiftCount ) {
softfloat_shortShiftRight128M( sig128Z, 1, sig128Z );
}
}
} else {
if ( shiftCount ) softfloat_add128M( sig128Z, sig128Z, sig128Z );
if ( ! expDiff ) {
sigZ =
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
| sig128Z[indexWord( 4, 2 )];
} else {
sig128C[indexWord( 4, 3 )] = sigC>>32;
sig128C[indexWord( 4, 2 )] = sigC;
sig128C[indexWord( 4, 1 )] = 0;
sig128C[indexWord( 4, 0 )] = 0;
softfloat_shiftRightJam128M( sig128C, expDiff, sig128C );
}
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( signZ == signC ) {
/*--------------------------------------------------------------------
*--------------------------------------------------------------------*/
if ( expDiff <= 0 ) {
sigZ += sigC;
} else {
softfloat_add128M( sig128Z, sig128C, sig128Z );
sigZ =
(uint64_t) sig128Z[indexWord( 4, 3 )]<<32
| sig128Z[indexWord( 4, 2 )];
}
if ( sigZ & UINT64_C( 0x8000000000000000 ) ) {
++expZ;
sigZ = softfloat_shortShiftRightJam64( sigZ, 1 );
}
} else {
/*--------------------------------------------------------------------
*--------------------------------------------------------------------*/
if ( expDiff < 0 ) {
signZ = signC;
if ( expDiff < -1 ) {
sigZ = sigC - sigZ;
if (
sig128Z[indexWord( 4, 1 )] || sig128Z[indexWord( 4, 0 )]
) {
sigZ = (sigZ - 1) | 1;
}
if ( ! (sigZ & UINT64_C( 0x4000000000000000 )) ) {
--expZ;
sigZ <<= 1;
}
goto roundPack;
} else {
sig128C[indexWord( 4, 3 )] = sigC>>32;
sig128C[indexWord( 4, 2 )] = sigC;
sig128C[indexWord( 4, 1 )] = 0;
sig128C[indexWord( 4, 0 )] = 0;
softfloat_sub128M( sig128C, sig128Z, sig128Z );
}
} else if ( ! expDiff ) {
void
extF80M_mul(
const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr )
{
const struct extFloat80M *aSPtr, *bSPtr;
struct extFloat80M *zSPtr;
uint_fast16_t uiA64;
int32_t expA;
uint_fast16_t uiB64;
int32_t expB;
bool signZ;
uint_fast16_t exp, uiZ64;
uint64_t uiZ0, sigA, sigB;
int32_t expZ;
uint32_t sigProd[4], *extSigZPtr;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
aSPtr = (const struct extFloat80M *) aPtr;
bSPtr = (const struct extFloat80M *) bPtr;
zSPtr = (struct extFloat80M *) zPtr;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
uiA64 = aSPtr->signExp;
expA = expExtF80UI64( uiA64 );
uiB64 = bSPtr->signExp;
expB = expExtF80UI64( uiB64 );
signZ = signExtF80UI64( uiA64 ) ^ signExtF80UI64( uiB64 );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
if ( softfloat_tryPropagateNaNExtF80M( aSPtr, bSPtr, zSPtr ) ) return;
if (
(! aSPtr->signif && (expA != 0x7FFF))
|| (! bSPtr->signif && (expB != 0x7FFF))
) {
softfloat_invalidExtF80M( zSPtr );
return;
}
uiZ64 = packToExtF80UI64( signZ, 0x7FFF );
uiZ0 = UINT64_C( 0x8000000000000000 );
goto uiZ;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( ! expA ) expA = 1;
sigA = aSPtr->signif;
if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) {
if ( ! sigA ) goto zero;
expA += softfloat_normExtF80SigM( &sigA );
}
if ( ! expB ) expB = 1;
sigB = bSPtr->signif;
if ( ! (sigB & UINT64_C( 0x8000000000000000 )) ) {
if ( ! sigB ) goto zero;
expB += softfloat_normExtF80SigM( &sigB );
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expZ = expA + expB - 0x3FFE;
softfloat_mul64To128M( sigA, sigB, sigProd );
if ( sigProd[indexWordLo( 4 )] ) sigProd[indexWord( 4, 1 )] |= 1;
extSigZPtr = &sigProd[indexMultiwordHi( 4, 3 )];
if ( sigProd[indexWordHi( 4 )] < 0x80000000 ) {
--expZ;
softfloat_add96M( extSigZPtr, extSigZPtr, extSigZPtr );
}
softfloat_roundPackMToExtF80M(
signZ, expZ, extSigZPtr, extF80_roundingPrecision, zSPtr );
return;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
zero:
uiZ64 = packToExtF80UI64( signZ, 0 );
uiZ0 = 0;
uiZ:
zSPtr->signExp = uiZ64;
zSPtr->signif = uiZ0;
}