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;
}
float128_t f128_scaledResult(int_fast16_t scale)
{
int_fast32_t exp;
union ui128_f128 uZ;
struct exp32_sig128 z;
struct uint128 uA;
exp = softfloat_raw.Exp + 16382 + scale;
/* Note that the high-order bit of the saved significand is the units position. This is effectively */
/* added to the exponent in packToF128UI64 so that the units position disappears and the exponent is */
/* incremented. So going in, the exponent limit must be one less than the float128 maximum of 0x7FFE. */
/* Note also that, unlike the C << operator, the function softfloat_shortShiftLeft128 behaves very */
/* badly when passed a shift count of zero. When passed zero, softfloat_shortShiftLeft128 or's the */
/* the second half of the 128-bit significand into the first. Not a bug, really, because this */
/* function is not a part of the Softfloat 3a API, but troubling nontheless. Softfloat 3b did not */
/* change this behavior. */
if (exp < 0 || exp > 0x7FFD)
{
uZ.ui.v64 = (defaultNaNF128UI64 & ~UINT64_C(0x0000800000000000)) | UINT64_C(0x00000DEAD0000000);
uZ.ui.v0 = defaultNaNF128UI0;
}
else
{
uA = softfloat_shortShiftRight128(softfloat_raw.Sig64, softfloat_raw.Sig0, 14);
if (softfloat_raw.Tiny && (uA.v64 < 0x0001000000000000ULL)) /* result an unnormallized subnormal? */
{
z = softfloat_normSubnormalF128Sig(uA.v64, uA.v0);
exp += (z.exp - 1);
uZ.ui.v64 = packToF128UI64(softfloat_raw.Sign, exp, z.sig.v64); /* should not be needed */
uZ.ui.v0 = z.sig.v0;
}
else
{
uZ.ui.v64 = packToF128UI64(softfloat_raw.Sign, exp, uA.v64);
uZ.ui.v0 = uA.v0;
}
}
softfloat_exceptionFlags &= ~(softfloat_flag_inexact | softfloat_flag_incremented | softfloat_flag_tiny);
softfloat_exceptionFlags |= (softfloat_raw.Inexact ? softfloat_flag_inexact : 0) |
(softfloat_raw.Incre ? softfloat_flag_incremented : 0);
return uZ.f;
}
float128_t f128_mul( float128_t a, float128_t b )
{
union ui128_f128 uA;
uint_fast64_t uiA64, uiA0;
bool signA;
int_fast32_t expA;
struct uint128 sigA;
union ui128_f128 uB;
uint_fast64_t uiB64, uiB0;
bool signB;
int_fast32_t expB;
struct uint128 sigB;
bool signZ;
uint_fast64_t magBits;
struct exp32_sig128 normExpSig;
int_fast32_t expZ;
uint64_t sig256Z[4];
uint_fast64_t sigZExtra;
struct uint128 sigZ;
struct uint128_extra sig128Extra;
struct uint128 uiZ;
union ui128_f128 uZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
uA.f = a;
uiA64 = uA.ui.v64;
uiA0 = uA.ui.v0;
signA = signF128UI64( uiA64 );
expA = expF128UI64( uiA64 );
sigA.v64 = fracF128UI64( uiA64 );
sigA.v0 = uiA0;
uB.f = b;
uiB64 = uB.ui.v64;
uiB0 = uB.ui.v0;
signB = signF128UI64( uiB64 );
expB = expF128UI64( uiB64 );
sigB.v64 = fracF128UI64( uiB64 );
sigB.v0 = uiB0;
signZ = signA ^ signB;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( expA == 0x7FFF ) {
if (
(sigA.v64 | sigA.v0) || ((expB == 0x7FFF) && (sigB.v64 | sigB.v0))
) {
goto propagateNaN;
}
magBits = expB | sigB.v64 | sigB.v0;
goto infArg;
}
if ( expB == 0x7FFF ) {
if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
magBits = expA | sigA.v64 | sigA.v0;
goto infArg;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( ! expA ) {
if ( ! (sigA.v64 | sigA.v0) ) goto zero;
normExpSig = softfloat_normSubnormalF128Sig( sigA.v64, sigA.v0 );
expA = normExpSig.exp;
sigA = normExpSig.sig;
}
if ( ! expB ) {
if ( ! (sigB.v64 | sigB.v0) ) goto zero;
normExpSig = softfloat_normSubnormalF128Sig( sigB.v64, sigB.v0 );
expB = normExpSig.exp;
sigB = normExpSig.sig;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
expZ = expA + expB - 0x4000;
sigA.v64 |= UINT64_C( 0x0001000000000000 );
sigB = softfloat_shortShiftLeft128( sigB.v64, sigB.v0, 16 );
softfloat_mul128To256M( sigA.v64, sigA.v0, sigB.v64, sigB.v0, sig256Z );
sigZExtra = sig256Z[indexWord( 4, 1 )] | (sig256Z[indexWord( 4, 0 )] != 0);
sigZ =
softfloat_add128(
sig256Z[indexWord( 4, 3 )], sig256Z[indexWord( 4, 2 )],
sigA.v64, sigA.v0
);
if ( UINT64_C( 0x0002000000000000 ) <= sigZ.v64 ) {
++expZ;
sig128Extra =
softfloat_shortShiftRightJam128Extra(
sigZ.v64, sigZ.v0, sigZExtra, 1 );
sigZ = sig128Extra.v;
sigZExtra = sig128Extra.extra;
}
return
softfloat_roundPackToF128( signZ, expZ, sigZ.v64, sigZ.v0, sigZExtra );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
propagateNaN:
uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 );
goto uiZ;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
infArg:
if ( ! magBits ) {
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ.v64 = defaultNaNF128UI64;
uiZ.v0 = defaultNaNF128UI0;
goto uiZ;
}
uiZ.v64 = packToF128UI64( signZ, 0x7FFF, 0 );
goto uiZ0;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
zero:
uiZ.v64 = packToF128UI64( signZ, 0, 0 );
uiZ0:
uiZ.v0 = 0;
uiZ:
uZ.ui = uiZ;
return uZ.f;
}
