float128_t ui64_to_f128( uint64_t a )
{
uint_fast64_t uiZ64, uiZ0;
int_fast8_t shiftCount;
struct uint128 zSig;
union ui128_f128 uZ;
if ( ! a ) {
uiZ64 = 0;
uiZ0 = 0;
} else {
shiftCount = softfloat_countLeadingZeros64( a ) + 49;
if ( 64 <= shiftCount ) {
zSig.v64 = a<<(shiftCount - 64);
zSig.v0 = 0;
} else {
zSig = softfloat_shortShiftLeft128( 0, a, shiftCount );
}
uiZ64 = packToF128UI64( 0, 0x406E - shiftCount, zSig.v64 );
uiZ0 = zSig.v0;
}
uZ.ui.v64 = uiZ64;
uZ.ui.v0 = uiZ0;
return uZ.f;
}
float16_t i64_to_f16( int64_t a )
{
bool sign;
uint_fast64_t absA;
int_fast8_t shiftDist;
union ui16_f16 u;
uint_fast16_t sig;
sign = (a < 0);
absA = sign ? -(uint_fast64_t) a : (uint_fast64_t) a;
shiftDist = softfloat_countLeadingZeros64( absA ) - 53;
if ( 0 <= shiftDist ) {
u.ui =
a ? packToF16UI(
sign, 0x18 - shiftDist, (uint_fast16_t) absA<<shiftDist )
: 0;
return u.f;
} else {
shiftDist += 4;
sig =
(shiftDist < 0)
? softfloat_shortShiftRightJam64( absA, -shiftDist )
: (uint_fast16_t) absA<<shiftDist;
return softfloat_roundPackToF16( sign, 0x1C - shiftDist, sig );
}
}
float32_t i64_to_f32( int_fast64_t a )
{
bool sign;
uint_fast64_t absA;
int shiftCount;
union ui32_f32 u;
uint_fast32_t sig;
sign = ( a < 0 );
absA = sign ? - (uint_fast64_t) a : a;
shiftCount = softfloat_countLeadingZeros64( absA ) - 40;
if ( 0 <= shiftCount ) {
u.ui =
a ? packToF32UI(
sign, 0x95 - shiftCount, (uint_fast32_t) absA<<shiftCount )
: 0;
return u.f;
} else {
shiftCount += 7;
sig =
( shiftCount < 0 )
? softfloat_shortShift64RightJam( absA, - shiftCount )
: (uint_fast32_t) absA<<shiftCount;
return softfloat_roundPackToF32( sign, 0x9C - shiftCount, sig );
}
}
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 );
}
float128_t i64_to_f128( int64_t a )
{
uint_fast64_t uiZ64, uiZ0;
bool sign;
uint_fast64_t absA;
int_fast8_t shiftCount;
struct uint128 zSig;
union ui128_f128 uZ;
if ( ! a ) {
uiZ64 = 0;
uiZ0 = 0;
} else {
sign = (a < 0);
absA = sign ? -(uint_fast64_t) a : (uint_fast64_t) a;
shiftCount = softfloat_countLeadingZeros64( absA ) + 49;
if ( 64 <= shiftCount ) {
zSig.v64 = absA<<(shiftCount - 64);
zSig.v0 = 0;
} else {
zSig = softfloat_shortShiftLeft128( 0, absA, shiftCount );
}
uiZ64 = packToF128UI64( sign, 0x406E - shiftCount, zSig.v64 );
uiZ0 = zSig.v0;
}
uZ.ui.v64 = uiZ64;
uZ.ui.v0 = uiZ0;
return uZ.f;
}
void ui64_to_f128M( uint64_t a, float128_t *zPtr )
{
uint32_t *zWPtr, uiZ96, uiZ64;
uint_fast8_t shiftCount;
uint32_t *ptr;
zWPtr = (uint32_t *) zPtr;
uiZ96 = 0;
uiZ64 = 0;
zWPtr[indexWord( 4, 1 )] = 0;
zWPtr[indexWord( 4, 0 )] = 0;
if ( a ) {
shiftCount = softfloat_countLeadingZeros64( a ) + 17;
if ( shiftCount < 32 ) {
ptr = zWPtr + indexMultiwordHi( 4, 3 );
ptr[indexWord( 3, 2 )] = 0;
ptr[indexWord( 3, 1 )] = a>>32;
ptr[indexWord( 3, 0 )] = a;
softfloat_shortShiftLeft96M( ptr, shiftCount, ptr );
ptr[indexWordHi( 3 )] =
packToF128UI96(
0, 0x404E - shiftCount, ptr[indexWordHi( 3 )] );
return;
}
a <<= shiftCount - 32;
uiZ96 = packToF128UI96( 0, 0x404E - shiftCount, a>>32 );
uiZ64 = a;
}
int softfloat_normExtF80SigM( uint64_t *sigPtr )
{
uint64_t sig;
int_fast8_t shiftDist;
sig = *sigPtr;
shiftDist = softfloat_countLeadingZeros64( sig );
*sigPtr = sig<<shiftDist;
return -shiftDist;
}
struct exp32_sig64 softfloat_normSubnormalExtF80Sig( uint_fast64_t sig )
{
int_fast8_t shiftCount;
struct exp32_sig64 z;
shiftCount = softfloat_countLeadingZeros64( sig );
z.exp = -shiftCount;
z.sig = sig<<shiftCount;
return z;
}
struct exp16_sig64 softfloat_normSubnormalF64Sig( uint_fast64_t sig )
{
int_fast8_t shiftDist;
struct exp16_sig64 z;
shiftDist = softfloat_countLeadingZeros64( sig ) - 11;
z.exp = 1 - shiftDist;
z.sig = sig<<shiftDist;
return z;
}
struct exp32_sig128
softfloat_normSubnormalF128Sig( uint_fast64_t sig64, uint_fast64_t sig0 )
{
int_fast8_t shiftDist;
struct exp32_sig128 z;
if ( ! sig64 ) {
shiftDist = softfloat_countLeadingZeros64( sig0 ) - 15;
z.exp = -63 - shiftDist;
if ( shiftDist < 0 ) {
z.sig.v64 = sig0>>-shiftDist;
z.sig.v0 = sig0<<(shiftDist & 63);
} else {
float64_t
softfloat_normRoundPackToF64( bool sign, int_fast16_t exp, uint_fast64_t sig )
{
int_fast8_t shiftCount;
union ui64_f64 uZ;
shiftCount = softfloat_countLeadingZeros64( sig ) - 1;
exp -= shiftCount;
if ( (10 <= shiftCount) && ((uint16_t) exp < 0x7FD) ) {
uZ.ui = packToF64UI( sign, sig ? exp : 0, sig<<(shiftCount - 10) );
return uZ.f;
} else {
return softfloat_roundPackToF64( sign, exp, sig<<shiftCount );
}
}
extFloat80_t ui64_to_extF80( uint64_t a )
{
uint_fast16_t uiZ64;
int_fast8_t shiftCount;
union { struct extFloat80M s; extFloat80_t f; } uZ;
uiZ64 = 0;
if ( a ) {
shiftCount = softfloat_countLeadingZeros64( a );
uiZ64 = 0x403E - shiftCount;
a <<= shiftCount;
}
uZ.s.signExp = uiZ64;
uZ.s.signif = a;
return uZ.f;
}
void ui64_to_extF80M( uint64_t a, extFloat80_t *zPtr )
{
struct extFloat80M *zSPtr;
uint_fast16_t uiZ64;
uint64_t sigZ;
int_fast8_t shiftDist;
zSPtr = (struct extFloat80M *) zPtr;
uiZ64 = 0;
sigZ = 0;
if ( a ) {
shiftDist = softfloat_countLeadingZeros64( a );
uiZ64 = packToExtF80UI64( 0, 0x403E - shiftDist );
sigZ = a<<shiftDist;
}
zSPtr->signExp = uiZ64;
zSPtr->signif = sigZ;
}
extFloat80_t i64_to_extF80( int64_t a )
{
uint_fast16_t uiZ64;
uint_fast64_t absA;
bool sign;
int_fast8_t shiftCount;
union { struct extFloat80M s; extFloat80_t f; } uZ;
uiZ64 = 0;
absA = 0;
if ( a ) {
sign = (a < 0);
absA = sign ? -(uint_fast64_t) a : (uint_fast64_t) a;
shiftCount = softfloat_countLeadingZeros64( absA );
uiZ64 = packToExtF80UI64( sign, 0x403E - shiftCount );
absA <<= shiftCount;
}
uZ.s.signExp = uiZ64;
uZ.s.signif = absA;
return uZ.f;
}
float128_t
softfloat_normRoundPackToF128(
bool sign, int_fast32_t exp, uint_fast64_t sig64, uint_fast64_t sig0 )
{
int_fast8_t shiftDist;
struct uint128 sig128;
union ui128_f128 uZ;
uint_fast64_t sigExtra;
struct uint128_extra sig128Extra;
if ( ! sig64 ) {
exp -= 64;
sig64 = sig0;
sig0 = 0;
}
shiftDist = softfloat_countLeadingZeros64( sig64 ) - 15;
exp -= shiftDist;
if ( 0 <= shiftDist ) {
if ( shiftDist ) {
sig128 = softfloat_shortShiftLeft128( sig64, sig0, shiftDist );
sig64 = sig128.v64;
sig0 = sig128.v0;
}
if ( (uint32_t) exp < 0x7FFD ) {
uZ.ui.v64 = packToF128UI64( sign, sig64 | sig0 ? exp : 0, sig64 );
uZ.ui.v0 = sig0;
return uZ.f;
}
sigExtra = 0;
} else {
sig128Extra =
softfloat_shortShiftRightJam128Extra( sig64, sig0, 0, -shiftDist );
sig64 = sig128Extra.v.v64;
sig0 = sig128Extra.v.v0;
sigExtra = sig128Extra.extra;
}
return softfloat_roundPackToF128( sign, exp, sig64, sig0, sigExtra );
}
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;
}
float32_t
softfloat_mulAddF32(
int op, uint_fast32_t uiA, uint_fast32_t uiB, uint_fast32_t uiC )
{
bool signA;
int_fast16_t expA;
uint_fast32_t sigA;
bool signB;
int_fast16_t expB;
uint_fast32_t sigB;
bool signC;
int_fast16_t expC;
uint_fast32_t sigC;
bool signProd;
uint_fast32_t magBits, uiZ;
struct exp16_sig32 normExpSig;
int_fast16_t expProd;
uint_fast64_t sigProd;
bool signZ;
int_fast16_t expZ;
uint_fast32_t sigZ;
int_fast16_t expDiff;
uint_fast64_t sigZ64, sigC64;
int shiftCount;
union ui32_f32 uZ;
signA = signF32UI( uiA );
expA = expF32UI( uiA );
sigA = fracF32UI( uiA );
signB = signF32UI( uiB );
expB = expF32UI( uiB );
sigB = fracF32UI( uiB );
signC = signF32UI( uiC ) ^ ( op == softfloat_mulAdd_subC );
expC = expF32UI( uiC );
sigC = fracF32UI( uiC );
signProd = signA ^ signB ^ ( op == softfloat_mulAdd_subProd );
if ( expA == 0xFF ) {
if ( sigA || ( ( expB == 0xFF ) && sigB ) ) goto propagateNaN_ABC;
magBits = expB | sigB;
goto infProdArg;
}
if ( expB == 0xFF ) {
if ( sigB ) goto propagateNaN_ABC;
magBits = expA | sigA;
goto infProdArg;
}
if ( expC == 0xFF ) {
if ( sigC ) {
uiZ = 0;
goto propagateNaN_ZC;
}
uiZ = uiC;
goto uiZ;
}
if ( ! expA ) {
if ( ! sigA ) goto zeroProd;
normExpSig = softfloat_normSubnormalF32Sig( sigA );
expA = normExpSig.exp;
sigA = normExpSig.sig;
}
if ( ! expB ) {
if ( ! sigB ) goto zeroProd;
normExpSig = softfloat_normSubnormalF32Sig( sigB );
expB = normExpSig.exp;
sigB = normExpSig.sig;
}
expProd = expA + expB - 0x7E;
sigA = ( sigA | 0x00800000 )<<7;
sigB = ( sigB | 0x00800000 )<<7;
sigProd = (uint_fast64_t) sigA * sigB;
if ( sigProd < UINT64_C( 0x2000000000000000 ) ) {
--expProd;
sigProd <<= 1;
}
signZ = signProd;
if ( ! expC ) {
if ( ! sigC ) {
expZ = expProd - 1;
sigZ = softfloat_shortShift64RightJam( sigProd, 31 );
goto roundPack;
}
normExpSig = softfloat_normSubnormalF32Sig( sigC );
expC = normExpSig.exp;
sigC = normExpSig.sig;
}
sigC = ( sigC | 0x00800000 )<<6;
expDiff = expProd - expC;
if ( signProd == signC ) {
if ( expDiff <= 0 ) {
expZ = expC;
sigZ = sigC + softfloat_shift64RightJam( sigProd, 32 - expDiff );
} else {
expZ = expProd;
sigZ64 =
sigProd
+ softfloat_shift64RightJam(
(uint_fast64_t) sigC<<32, expDiff );
sigZ = softfloat_shortShift64RightJam( sigZ64, 32 );
}
if ( sigZ < 0x40000000 ) {
--expZ;
sigZ <<= 1;
}
} else {
/*** OPTIMIZE BETTER? ***/
sigC64 = (uint_fast64_t) sigC<<32;
if ( expDiff < 0 ) {
signZ = signC;
expZ = expC;
sigZ64 = sigC64 - softfloat_shift64RightJam( sigProd, - expDiff );
} else if ( ! expDiff ) {
expZ = expProd;
sigZ64 = sigProd - sigC64;
if ( ! sigZ64 ) goto completeCancellation;
if ( sigZ64 & UINT64_C( 0x8000000000000000 ) ) {
signZ ^= 1;
sigZ64 = - sigZ64;
}
} else {
expZ = expProd;
sigZ64 = sigProd - softfloat_shift64RightJam( sigC64, expDiff );
}
shiftCount = softfloat_countLeadingZeros64( sigZ64 ) - 1;
expZ -= shiftCount;
shiftCount -= 32;
if ( shiftCount < 0 ) {
sigZ = softfloat_shortShift64RightJam( sigZ64, - shiftCount );
} else {
sigZ = (uint_fast32_t) sigZ64<<shiftCount;
}
}
roundPack:
return softfloat_roundPackToF32( signZ, expZ, sigZ );
propagateNaN_ABC:
uiZ = softfloat_propagateNaNF32UI( uiA, uiB );
goto propagateNaN_ZC;
infProdArg:
if ( magBits ) {
uiZ = packToF32UI( signProd, 0xFF, 0 );
if ( expC != 0xFF ) goto uiZ;
if ( sigC ) goto propagateNaN_ZC;
if ( signProd == signC ) goto uiZ;
}
// invalid:
softfloat_raiseFlags( softfloat_flag_invalid );
uiZ = defaultNaNF32UI;
propagateNaN_ZC:
uiZ = softfloat_propagateNaNF32UI( uiZ, uiC );
goto uiZ;
zeroProd:
uiZ = uiC;
if ( ! ( expC | sigC ) && ( signProd != signC ) ) {
completeCancellation:
uiZ =
packToF32UI( softfloat_roundingMode == softfloat_round_min, 0, 0 );
}
uiZ:
uZ.ui = uiZ;
return uZ.f;
}