extFloat80_t extF80_mul( extFloat80_t a, extFloat80_t b )
{
union { struct extFloat80M s; extFloat80_t f; } uA;
uint_fast16_t uiA64;
uint_fast64_t uiA0;
bool signA;
int_fast32_t expA;
uint_fast64_t sigA;
union { struct extFloat80M s; extFloat80_t f; } uB;
uint_fast16_t uiB64;
uint_fast64_t uiB0;
bool signB;
int_fast32_t expB;
uint_fast64_t sigB;
bool signZ;
uint_fast64_t magBits;
struct exp32_sig64 normExpSig;
int_fast32_t expZ;
struct uint128 sig128Z, uiZ;
uint_fast16_t uiZ64;
uint_fast64_t uiZ0;
union { struct extFloat80M s; extFloat80_t f; } uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
uA.f = a;
uiA64 = uA.s.signExp;
uiA0 = uA.s.signif;
signA = signExtF80UI64( uiA64 );
expA = expExtF80UI64( uiA64 );
sigA = uiA0;
uB.f = b;
uiB64 = uB.s.signExp;
uiB0 = uB.s.signif;
signB = signExtF80UI64( uiB64 );
expB = expExtF80UI64( uiB64 );
sigB = uiB0;
signZ = signA ^ signB;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( expA == 0x7FFF ) {
if (
(sigA & UINT64_C( 0x7FFFFFFFFFFFFFFF ))
|| ((expB == 0x7FFF) && (sigB & UINT64_C( 0x7FFFFFFFFFFFFFFF )))
) {
goto propagateNaN;
}
magBits = expB | sigB;
goto infArg;
}
if ( expB == 0x7FFF ) {
if ( sigB & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) goto propagateNaN;
magBits = expA | sigA;
goto infArg;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( ! expA ) expA = 1;
if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) {
if ( ! sigA ) goto zero;
normExpSig = softfloat_normSubnormalExtF80Sig( sigA );
expA += normExpSig.exp;
sigA = normExpSig.sig;
}
if ( ! expB ) expB = 1;
if ( ! (sigB & UINT64_C( 0x8000000000000000 )) ) {
if ( ! sigB ) goto zero;
normExpSig = softfloat_normSubnormalExtF80Sig( sigB );
expB += normExpSig.exp;
sigB = normExpSig.sig;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expZ = expA + expB - 0x3FFE;
sig128Z = softfloat_mul64To128( sigA, sigB );
if ( sig128Z.v64 < UINT64_C( 0x8000000000000000 ) ) {
--expZ;
sig128Z =
softfloat_add128(
sig128Z.v64, sig128Z.v0, sig128Z.v64, sig128Z.v0 );
}
return
softfloat_roundPackToExtF80(
signZ, expZ, sig128Z.v64, sig128Z.v0, extF80_roundingPrecision );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
propagateNaN:
uiZ = softfloat_propagateNaNExtF80UI( uiA64, uiA0, uiB64, uiB0 );
uiZ64 = uiZ.v64;
uiZ0 = uiZ.v0;
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
infArg:
if ( ! magBits ) {
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ64 = defaultNaNExtF80UI64;
uiZ0 = defaultNaNExtF80UI0;
} else {
uiZ64 = packToExtF80UI64( signZ, 0x7FFF );
uiZ0 = UINT64_C( 0x8000000000000000 );
}
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
zero:
uiZ64 = packToExtF80UI64( signZ, 0 );
uiZ0 = 0;
uiZ:
uZ.s.signExp = uiZ64;
uZ.s.signif = uiZ0;
return uZ.f;
}
extFloat80_t
extF80_roundToInt( extFloat80_t a, uint_fast8_t roundingMode, bool exact )
{
union { struct extFloat80M s; extFloat80_t f; } uA;
uint_fast16_t uiA64, signUI64;
int_fast32_t exp;
uint_fast64_t sigA;
uint_fast16_t uiZ64;
uint_fast64_t sigZ;
struct exp32_sig64 normExpSig;
struct uint128 uiZ;
uint_fast64_t lastBitMask, roundBitsMask;
union { struct extFloat80M s; extFloat80_t f; } uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
uA.f = a;
uiA64 = uA.s.signExp;
signUI64 = uiA64 & packToExtF80UI64( 1, 0 );
exp = expExtF80UI64( uiA64 );
sigA = uA.s.signif;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( ! (sigA & UINT64_C( 0x8000000000000000 )) && (exp != 0x7FFF) ) {
if ( ! sigA ) {
uiZ64 = signUI64;
sigZ = 0;
goto uiZ;
}
normExpSig = softfloat_normSubnormalExtF80Sig( sigA );
exp += normExpSig.exp;
sigA = normExpSig.sig;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( 0x403E <= exp ) {
if ( exp == 0x7FFF ) {
if ( sigA & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) {
uiZ = softfloat_propagateNaNExtF80UI( uiA64, sigA, 0, 0 );
uiZ64 = uiZ.v64;
sigZ = uiZ.v0;
goto uiZ;
}
sigZ = UINT64_C( 0x8000000000000000 );
} else {
sigZ = sigA;
}
uiZ64 = signUI64 | exp;
goto uiZ;
}
if ( exp <= 0x3FFE ) {
if ( exact ) softfloat_exceptionFlags |= softfloat_flag_inexact;
switch ( roundingMode ) {
case softfloat_round_near_even:
if ( ! (sigA & UINT64_C( 0x7FFFFFFFFFFFFFFF )) ) break;
case softfloat_round_near_maxMag:
if ( exp == 0x3FFE ) goto mag1;
break;
case softfloat_round_min:
if ( signUI64 ) goto mag1;
break;
case softfloat_round_max:
if ( ! signUI64 ) goto mag1;
break;
}
uiZ64 = signUI64;
sigZ = 0;
goto uiZ;
mag1:
uiZ64 = signUI64 | 0x3FFF;
sigZ = UINT64_C( 0x8000000000000000 );
goto uiZ;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
uiZ64 = signUI64 | exp;
lastBitMask = (uint_fast64_t) 1<<(0x403E - exp);
roundBitsMask = lastBitMask - 1;
sigZ = sigA;
if ( roundingMode == softfloat_round_near_maxMag ) {
sigZ += lastBitMask>>1;
} else if ( roundingMode == softfloat_round_near_even ) {
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;
}
extFloat80_t
softfloat_addMagsExtF80(
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, sigZ, sigZExtra;
struct exp32_sig64 normExpSig;
int_fast32_t expZ;
struct uint64_extra sig64Extra;
struct uint128 uiZ;
union { struct extFloat80M s; extFloat80_t f; } uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expA = expExtF80UI64( uiA64 );
sigA = uiA0;
expB = expExtF80UI64( uiB64 );
sigB = uiB0;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expDiff = expA - expB;
if ( ! expDiff ) {
if ( expA == 0x7FFF ) {
if ( (sigA | sigB) & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) {
goto propagateNaN;
}
uiZ64 = uiA64;
uiZ0 = uiA0;
goto uiZ;
}
sigZ = sigA + sigB;
sigZExtra = 0;
if ( ! expA ) {
normExpSig = softfloat_normSubnormalExtF80Sig( sigZ );
expZ = normExpSig.exp + 1;
sigZ = normExpSig.sig;
goto roundAndPack;
}
expZ = expA;
goto shiftRight1;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( expDiff < 0 ) {
if ( expB == 0x7FFF ) {
if ( sigB & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) goto propagateNaN;
uiZ64 = packToExtF80UI64( signZ, 0x7FFF );
uiZ0 = uiB0;
goto uiZ;
}
expZ = expB;
if ( ! expA ) {
++expDiff;
sigZExtra = 0;
if ( ! expDiff ) goto newlyAligned;
}
sig64Extra = softfloat_shiftRightJam64Extra( sigA, 0, -expDiff );
sigA = sig64Extra.v;
sigZExtra = sig64Extra.extra;
} else {
if ( expA == 0x7FFF ) {
if ( sigA & UINT64_C( 0x7FFFFFFFFFFFFFFF ) ) goto propagateNaN;
uiZ64 = uiA64;
uiZ0 = uiA0;
goto uiZ;
}
expZ = expA;
if ( ! expB ) {
--expDiff;
sigZExtra = 0;
if ( ! expDiff ) goto newlyAligned;
}
sig64Extra = softfloat_shiftRightJam64Extra( sigB, 0, expDiff );
sigB = sig64Extra.v;
sigZExtra = sig64Extra.extra;
}
newlyAligned:
sigZ = sigA + sigB;
if ( sigZ & UINT64_C( 0x8000000000000000 ) ) goto roundAndPack;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
shiftRight1:
sig64Extra = softfloat_shortShiftRightJam64Extra( sigZ, sigZExtra, 1 );
sigZ = sig64Extra.v | UINT64_C( 0x8000000000000000 );
sigZExtra = sig64Extra.extra;
++expZ;
roundAndPack:
return
softfloat_roundPackToExtF80(
signZ, expZ, sigZ, sigZExtra, 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;
}
