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-rw-r--r--fpu/softfloat.c87
1 files changed, 71 insertions, 16 deletions
diff --git a/fpu/softfloat.c b/fpu/softfloat.c
index 5e9746c287..79be4f5840 100644
--- a/fpu/softfloat.c
+++ b/fpu/softfloat.c
@@ -5697,22 +5697,27 @@ floatx80 floatx80_div(floatx80 a, floatx80 b, float_status *status)
/*----------------------------------------------------------------------------
| Returns the remainder of the extended double-precision floating-point value
| `a' with respect to the corresponding value `b'. The operation is performed
-| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic,
+| if 'mod' is false; if 'mod' is true, return the remainder based on truncating
+| the quotient toward zero instead. '*quotient' is set to the low 64 bits of
+| the absolute value of the integer quotient.
*----------------------------------------------------------------------------*/
-floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
+floatx80 floatx80_modrem(floatx80 a, floatx80 b, bool mod, uint64_t *quotient,
+ float_status *status)
{
bool aSign, zSign;
- int32_t aExp, bExp, expDiff;
+ int32_t aExp, bExp, expDiff, aExpOrig;
uint64_t aSig0, aSig1, bSig;
uint64_t q, term0, term1, alternateASig0, alternateASig1;
+ *quotient = 0;
if (floatx80_invalid_encoding(a) || floatx80_invalid_encoding(b)) {
float_raise(float_flag_invalid, status);
return floatx80_default_nan(status);
}
aSig0 = extractFloatx80Frac( a );
- aExp = extractFloatx80Exp( a );
+ aExpOrig = aExp = extractFloatx80Exp( a );
aSign = extractFloatx80Sign( a );
bSig = extractFloatx80Frac( b );
bExp = extractFloatx80Exp( b );
@@ -5727,6 +5732,13 @@ floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
if ((uint64_t)(bSig << 1)) {
return propagateFloatx80NaN(a, b, status);
}
+ if (aExp == 0 && aSig0 >> 63) {
+ /*
+ * Pseudo-denormal argument must be returned in normalized
+ * form.
+ */
+ return packFloatx80(aSign, 1, aSig0);
+ }
return a;
}
if ( bExp == 0 ) {
@@ -5738,19 +5750,27 @@ floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
normalizeFloatx80Subnormal( bSig, &bExp, &bSig );
}
if ( aExp == 0 ) {
- if ( (uint64_t) ( aSig0<<1 ) == 0 ) return a;
+ if ( aSig0 == 0 ) return a;
normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 );
}
- bSig |= UINT64_C(0x8000000000000000);
zSign = aSign;
expDiff = aExp - bExp;
aSig1 = 0;
if ( expDiff < 0 ) {
- if ( expDiff < -1 ) return a;
+ if ( mod || expDiff < -1 ) {
+ if (aExp == 1 && aExpOrig == 0) {
+ /*
+ * Pseudo-denormal argument must be returned in
+ * normalized form.
+ */
+ return packFloatx80(aSign, aExp, aSig0);
+ }
+ return a;
+ }
shift128Right( aSig0, 0, 1, &aSig0, &aSig1 );
expDiff = 0;
}
- q = ( bSig <= aSig0 );
+ *quotient = q = ( bSig <= aSig0 );
if ( q ) aSig0 -= bSig;
expDiff -= 64;
while ( 0 < expDiff ) {
@@ -5760,6 +5780,8 @@ floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 );
shortShift128Left( aSig0, aSig1, 62, &aSig0, &aSig1 );
expDiff -= 62;
+ *quotient <<= 62;
+ *quotient += q;
}
expDiff += 64;
if ( 0 < expDiff ) {
@@ -5773,19 +5795,28 @@ floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
++q;
sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 );
}
+ if (expDiff < 64) {
+ *quotient <<= expDiff;
+ } else {
+ *quotient = 0;
+ }
+ *quotient += q;
}
else {
term1 = 0;
term0 = bSig;
}
- sub128( term0, term1, aSig0, aSig1, &alternateASig0, &alternateASig1 );
- if ( lt128( alternateASig0, alternateASig1, aSig0, aSig1 )
- || ( eq128( alternateASig0, alternateASig1, aSig0, aSig1 )
- && ( q & 1 ) )
- ) {
- aSig0 = alternateASig0;
- aSig1 = alternateASig1;
- zSign = ! zSign;
+ if (!mod) {
+ sub128( term0, term1, aSig0, aSig1, &alternateASig0, &alternateASig1 );
+ if ( lt128( alternateASig0, alternateASig1, aSig0, aSig1 )
+ || ( eq128( alternateASig0, alternateASig1, aSig0, aSig1 )
+ && ( q & 1 ) )
+ ) {
+ aSig0 = alternateASig0;
+ aSig1 = alternateASig1;
+ zSign = ! zSign;
+ ++*quotient;
+ }
}
return
normalizeRoundAndPackFloatx80(
@@ -5794,6 +5825,30 @@ floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
}
/*----------------------------------------------------------------------------
+| Returns the remainder of the extended double-precision floating-point value
+| `a' with respect to the corresponding value `b'. The operation is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status)
+{
+ uint64_t quotient;
+ return floatx80_modrem(a, b, false, &quotient, status);
+}
+
+/*----------------------------------------------------------------------------
+| Returns the remainder of the extended double-precision floating-point value
+| `a' with respect to the corresponding value `b', with the quotient truncated
+| toward zero.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status)
+{
+ uint64_t quotient;
+ return floatx80_modrem(a, b, true, &quotient, status);
+}
+
+/*----------------------------------------------------------------------------
| Returns the square root of the extended double-precision floating-point
| value `a'. The operation is performed according to the IEC/IEEE Standard
| for Binary Floating-Point Arithmetic.