extFloat80_t
softfloat_normRoundPackToExtF80(
bool sign,
int_fast32_t exp,
uint_fast64_t sig,
uint_fast64_t sigExtra,
uint_fast8_t roundingPrecision
)
{
int_fast8_t shiftDist;
struct uint128 sig128;
if ( ! sig ) {
exp -= 64;
sig = sigExtra;
sigExtra = 0;
}
shiftDist = softfloat_countLeadingZeros64( sig );
exp -= shiftDist;
if ( shiftDist ) {
sig128 = softfloat_shortShiftLeft128( sig, sigExtra, shiftDist );
sig = sig128.v64;
sigExtra = sig128.v0;
}
return
softfloat_roundPackToExtF80(
sign, exp, sig, sigExtra, roundingPrecision );
}
extFloat80_t f128_to_extF80( float128_t a )
{
union ui128_f128 uA;
uint_fast64_t uiA64, uiA0;
bool sign;
int_fast32_t exp;
uint_fast64_t sig64, sig0;
struct commonNaN commonNaN;
struct uint128 uiZ;
uint_fast16_t uiZ64;
uint_fast64_t uiZ0;
struct exp32_sig128 normExpSig;
struct uint128 sig128;
union { struct extFloat80M s; extFloat80_t f; } uZ;
uA.f = a;
uiA64 = uA.ui.v64;
uiA0 = uA.ui.v0;
sign = signF128UI64( uiA64 );
exp = expF128UI64( uiA64 );
sig64 = fracF128UI64( uiA64 );
sig0 = uiA0;
if ( exp == 0x7FFF ) {
if ( sig64 | sig0 ) {
softfloat_f128UIToCommonNaN( uiA64, uiA0, &commonNaN );
uiZ = softfloat_commonNaNToExtF80UI( &commonNaN );
uiZ64 = uiZ.v64;
uiZ0 = uiZ.v0;
} else {
uiZ64 = packToExtF80UI64( sign, 0x7FFF );
uiZ0 = UINT64_C( 0x8000000000000000 );
}
goto uiZ;
}
if ( ! exp ) {
if ( ! (sig64 | sig0) ) {
uiZ64 = packToExtF80UI64( sign, 0 );
uiZ0 = 0;
goto uiZ;
}
normExpSig = softfloat_normSubnormalF128Sig( sig64, sig0 );
exp = normExpSig.exp;
sig64 = normExpSig.sig.v64;
sig0 = normExpSig.sig.v0;
} else {
sig64 |= UINT64_C( 0x0001000000000000 );
}
sig128 = softfloat_shortShiftLeft128( sig64, sig0, 15 );
return softfloat_roundPackToExtF80( sign, exp, sig128.v64, sig128.v0, 80 );
uiZ:
uZ.s.signExp = uiZ64;
uZ.s.signif = uiZ0;
return uZ.f;
}
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
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;
}