bool f128M_lt( const float128_t *aPtr, const float128_t *bPtr )
{
const uint32_t *aWPtr, *bWPtr;
uint32_t uiA96, uiB96;
bool signA, signB;
uint32_t wordA, wordB;
aWPtr = (const uint32_t *) aPtr;
bWPtr = (const uint32_t *) bPtr;
if ( softfloat_isNaNF128M( aWPtr ) || softfloat_isNaNF128M( bWPtr ) ) {
softfloat_raiseFlags( softfloat_flag_invalid );
return false;
}
uiA96 = aWPtr[indexWordHi( 4 )];
uiB96 = bWPtr[indexWordHi( 4 )];
signA = signF128UI96( uiA96 );
signB = signF128UI96( uiB96 );
if ( signA != signB ) {
if ( signB ) return false;
if ( (uiA96 | uiB96) & 0x7FFFFFFF ) return true;
wordA = aWPtr[indexWord( 4, 2 )];
wordB = bWPtr[indexWord( 4, 2 )];
if ( wordA | wordB ) return true;
wordA = aWPtr[indexWord( 4, 1 )];
wordB = bWPtr[indexWord( 4, 1 )];
if ( wordA | wordB ) return true;
wordA = aWPtr[indexWord( 4, 0 )];
wordB = bWPtr[indexWord( 4, 0 )];
return ((wordA | wordB) != 0);
}
if ( signA ) {
aWPtr = (const uint32_t *) bPtr;
bWPtr = (const uint32_t *) aPtr;
}
return (softfloat_compare128M( aWPtr, bWPtr ) < 0);
}
void
f128M_roundToInt(
const float128_t *aPtr,
uint_fast8_t roundingMode,
bool exact,
float128_t *zPtr
)
{
const uint32_t *aWPtr;
uint32_t *zWPtr;
uint32_t ui96;
int32_t exp;
uint32_t sigExtra;
bool sign;
uint_fast8_t bitPos;
bool roundNear;
unsigned int index, lastIndex;
bool extra;
uint32_t wordA, bit, wordZ;
uint_fast8_t carry;
uint32_t extrasMask;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
aWPtr = (const uint32_t *) aPtr;
zWPtr = (uint32_t *) zPtr;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
ui96 = aWPtr[indexWordHi( 4 )];
exp = expF128UI96( ui96 );
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( exp < 0x3FFF ) {
zWPtr[indexWord( 4, 2 )] = 0;
zWPtr[indexWord( 4, 1 )] = 0;
zWPtr[indexWord( 4, 0 )] = 0;
sigExtra = aWPtr[indexWord( 4, 2 )];
if ( ! sigExtra ) {
sigExtra = aWPtr[indexWord( 4, 1 )] | aWPtr[indexWord( 4, 0 )];
}
if ( ! sigExtra && ! (ui96 & 0x7FFFFFFF) ) goto ui96;
if ( exact ) softfloat_exceptionFlags |= softfloat_flag_inexact;
sign = signF128UI96( ui96 );
switch ( roundingMode ) {
case softfloat_round_near_even:
if ( ! fracF128UI96( ui96 ) && ! sigExtra ) break;
case softfloat_round_near_maxMag:
if ( exp == 0x3FFE ) goto mag1;
break;
case softfloat_round_min:
if ( sign ) goto mag1;
break;
case softfloat_round_max:
if ( ! sign ) goto mag1;
break;
}
ui96 = packToF128UI96( sign, 0, 0 );
goto ui96;
mag1:
ui96 = packToF128UI96( sign, 0x3FFF, 0 );
goto ui96;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( 0x406F <= exp ) {
if (
(exp == 0x7FFF)
&& (fracF128UI96( ui96 )
|| (aWPtr[indexWord( 4, 2 )] | aWPtr[indexWord( 4, 1 )]
| aWPtr[indexWord( 4, 0 )]))
) {
softfloat_propagateNaNF128M( aWPtr, 0, zWPtr );
return;
}
zWPtr[indexWord( 4, 2 )] = aWPtr[indexWord( 4, 2 )];
zWPtr[indexWord( 4, 1 )] = aWPtr[indexWord( 4, 1 )];
zWPtr[indexWord( 4, 0 )] = aWPtr[indexWord( 4, 0 )];
goto ui96;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
bitPos = 0x406F - exp;
roundNear =
(roundingMode == softfloat_round_near_maxMag)
|| (roundingMode == softfloat_round_near_even);
bitPos -= roundNear;
index = indexWordLo( 4 );
lastIndex = indexWordHi( 4 );
extra = 0;
for (;;) {
wordA = aWPtr[index];
if ( bitPos < 32 ) break;
if ( wordA ) extra = 1;
zWPtr[index] = 0;
index += wordIncr;
bitPos -= 32;
}
bit = (uint32_t) 1<<bitPos;
if ( roundNear ) {
wordZ = wordA + bit;
carry = (wordZ < wordA);
bit <<= 1;
extrasMask = bit - 1;
if (
(roundingMode == softfloat_round_near_even)
&& ! extra && ! (wordZ & extrasMask)
) {
if ( ! bit ) {
zWPtr[index] = wordZ;
index += wordIncr;
wordZ = aWPtr[index] + carry;
carry &= ! wordZ;
zWPtr[index] = wordZ & ~1;
goto propagateCarry;
}
wordZ &= ~bit;
}
} else {
extrasMask = bit - 1;
wordZ = wordA;
carry = 0;
if (
(roundingMode != softfloat_round_minMag)
&& (signF128UI96( ui96 ) ^ (roundingMode == softfloat_round_max))
) {
if ( extra || (wordA & extrasMask) ) {
wordZ += bit;
carry = (wordZ < wordA);
}
}
}
wordZ &= ~extrasMask;
zWPtr[index] = wordZ;
propagateCarry:
while ( index != lastIndex ) {
index += wordIncr;
wordZ = aWPtr[index] + carry;
zWPtr[index] = wordZ;
carry &= ! wordZ;
}
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
if ( exact && (softfloat_compare128M( aWPtr, zWPtr ) != 0) ) {
softfloat_exceptionFlags |= softfloat_flag_inexact;
}
return;
/*------------------------------------------------------------------------
*------------------------------------------------------------------------*/
ui96:
zWPtr[indexWordHi( 4 )] = ui96;
}
void
softfloat_roundPackMToF128M(
bool sign, int32_t exp, uint32_t *extSigPtr, uint32_t *zWPtr )
{
uint_fast8_t roundingMode;
bool roundNearEven;
uint32_t sigExtra;
bool doIncrement, isTiny;
static const uint32_t maxSig[4] =
INIT_UINTM4( 0x0001FFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF );
uint32_t ui, uj;
roundingMode = softfloat_roundingMode;
roundNearEven = (roundingMode == softfloat_round_near_even);
sigExtra = extSigPtr[indexWordLo( 5 )];
doIncrement = (0x80000000 <= sigExtra);
if ( ! roundNearEven && (roundingMode != softfloat_round_near_maxMag) ) {
doIncrement =
(roundingMode
== (sign ? softfloat_round_min : softfloat_round_max))
&& sigExtra;
}
if ( 0x7FFD <= (uint32_t) exp ) {
if ( exp < 0 ) {
isTiny =
(softfloat_detectTininess
== softfloat_tininess_beforeRounding)
|| (exp < -1)
|| ! doIncrement
|| (softfloat_compare128M(
extSigPtr + indexMultiwordHi( 5, 4 ), maxSig )
< 0);
softfloat_shiftRightJam160M( extSigPtr, -exp, extSigPtr );
exp = 0;
sigExtra = extSigPtr[indexWordLo( 5 )];
if ( isTiny && sigExtra ) {
softfloat_raiseFlags( softfloat_flag_underflow );
}
doIncrement = (0x80000000 <= sigExtra);
if (
! roundNearEven
&& (roundingMode != softfloat_round_near_maxMag)
) {
doIncrement =
(roundingMode
== (sign ? softfloat_round_min : softfloat_round_max))
&& sigExtra;
}
} else if (
(0x7FFD < exp)
|| ((exp == 0x7FFD) && doIncrement
&& (softfloat_compare128M(
extSigPtr + indexMultiwordHi( 5, 4 ), maxSig )
== 0))
) {
softfloat_raiseFlags(
softfloat_flag_overflow | softfloat_flag_inexact );
if (
roundNearEven
|| (roundingMode == softfloat_round_near_maxMag)
|| (roundingMode
== (sign ? softfloat_round_min : softfloat_round_max))
) {
ui = packToF128UI96( sign, 0x7FFF, 0 );
uj = 0;
} else {
ui = packToF128UI96( sign, 0x7FFE, 0x0000FFFF );
uj = 0xFFFFFFFF;
}
zWPtr[indexWordHi( 4 )] = ui;
zWPtr[indexWord( 4, 2 )] = uj;
zWPtr[indexWord( 4, 1 )] = uj;
zWPtr[indexWord( 4, 0 )] = uj;
return;
}
}
if ( sigExtra ) softfloat_exceptionFlags |= softfloat_flag_inexact;
uj = extSigPtr[indexWord( 5, 1 )];
if ( doIncrement ) {
++uj;
if ( uj ) {
if ( ! (sigExtra & 0x7FFFFFFF) && roundNearEven ) uj &= ~1;
zWPtr[indexWord( 4, 2 )] = extSigPtr[indexWord( 5, 3 )];
zWPtr[indexWord( 4, 1 )] = extSigPtr[indexWord( 5, 2 )];
zWPtr[indexWord( 4, 0 )] = uj;
ui = extSigPtr[indexWordHi( 5 )];
} else {
zWPtr[indexWord( 4, 0 )] = uj;
ui = extSigPtr[indexWord( 5, 2 )] + 1;
zWPtr[indexWord( 4, 1 )] = ui;
uj = extSigPtr[indexWord( 5, 3 )];
if ( ui ) {
zWPtr[indexWord( 4, 2 )] = uj;
ui = extSigPtr[indexWordHi( 5 )];
} else {
++uj;
zWPtr[indexWord( 4, 2 )] = uj;
ui = extSigPtr[indexWordHi( 5 )];
if ( ! uj ) ++ui;
}
}
} else {
zWPtr[indexWord( 4, 0 )] = uj;
ui = extSigPtr[indexWord( 5, 2 )];
zWPtr[indexWord( 4, 1 )] = ui;
uj |= ui;
ui = extSigPtr[indexWord( 5, 3 )];
zWPtr[indexWord( 4, 2 )] = ui;
uj |= ui;
ui = extSigPtr[indexWordHi( 5 )];
uj |= ui;
if ( ! uj ) exp = 0;
}
zWPtr[indexWordHi( 4 )] = packToF128UI96( sign, exp, ui );
}
