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authorJoseph Myers <joseph@codesourcery.com>2012-03-21 12:14:57 +0000
committerJoseph Myers <joseph@codesourcery.com>2012-03-21 12:16:00 +0000
commit2460d3aa21f04cdf28497683bd3e29183189f779 (patch)
treed01d4f4002b56099e0f8959e39aa5eee7dc1db10
parenteb96ffb07d0b1b23ecfaf9520d6757c7dbea0bd1 (diff)
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Fix pow of zero and infinity to large powers.
-rw-r--r--ChangeLog21
-rw-r--r--math/libm-test.inc207
-rw-r--r--sysdeps/i386/fpu/e_pow.S47
-rw-r--r--sysdeps/i386/fpu/e_powf.S47
-rw-r--r--sysdeps/i386/fpu/e_powl.S41
-rw-r--r--sysdeps/ieee754/dbl-64/e_pow.c2
-rw-r--r--sysdeps/x86_64/fpu/e_powl.S41
7 files changed, 373 insertions, 33 deletions
diff --git a/ChangeLog b/ChangeLog
index edac2dc..d548878 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,24 @@
+2012-03-20 Joseph Myers <joseph@codesourcery.com>
+
+ [BZ #3866]
+ * sysdeps/i386/fpu/e_pow.S (__ieee754_pow): Test for y outside the
+ range of signed 64-bit integers before using fistpll. Remove
+ checks for whether integers fit in mantissa bits.
+ * sysdeps/i386/fpu/e_powf.S (__ieee754_powf): Test for y outside
+ the range of signed 32-bit integers before using fistpl. Remove
+ checks for whether integers fit in mantissa bits.
+ * sysdeps/i386/fpu/e_powl.S (p64): New object.
+ (__ieee754_powl): Test for y outside the range of signed 64-bit
+ integers before using fistpll. Reduce 64-bit values to 63-bit
+ ones as needed.
+ * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Ensure
+ divide-by-zero is raised for zero to large negative powers.
+ * sysdeps/x86_64/fpu/e_powl.S (p64): New object.
+ (__ieee754_powl): Test for y outside the range of signed 64-bit
+ integers before using fistpll. Reduce 64-bit values to 63-bit
+ ones as needed.
+ * math/libm-test.inc (pow_test): Add more tests.
+
2012-03-20 H.J. Lu <hongjiu.lu@intel.com>
* debug/backtracesymsfd.c: Include <_itoa.h> instead of
diff --git a/math/libm-test.inc b/math/libm-test.inc
index af3d645..64d12a5 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -5431,11 +5431,75 @@ pow_test (void)
TEST_ff_f (pow, 0, -11, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
check_int ("errno for pow(0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
errno = 0;
+ TEST_ff_f (pow, 0, -0xffffff, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+#ifndef TEST_FLOAT
+ errno = 0;
+ TEST_ff_f (pow, 0, -0x1.fffffffffffffp+52L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ errno = 0;
+ TEST_ff_f (pow, 0, -0x1.fffffffffffffffep+63L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+# endif
+# if LDBL_MANT_DIG >= 106
+ errno = 0;
+ TEST_ff_f (pow, 0, -0x1.ffffffffffffffffffffffffff8p+105L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+# endif
+# if LDBL_MANT_DIG >= 113
+ errno = 0;
+ TEST_ff_f (pow, 0, -0x1.ffffffffffffffffffffffffffffp+112L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+# endif
+#endif
TEST_ff_f (pow, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
errno = 0;
TEST_ff_f (pow, minus_zero, -11L, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0xffffff, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1fffffe, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-even) == ERANGE", errno, ERANGE, 0, 0, 0);
+#ifndef TEST_FLOAT
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.fffffffffffffp+52L, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.fffffffffffffp+53L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-even) == ERANGE", errno, ERANGE, 0, 0, 0);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.fffffffffffffffep+63L, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.fffffffffffffffep+64L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-even) == ERANGE", errno, ERANGE, 0, 0, 0);
+# endif
+# if LDBL_MANT_DIG >= 106
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.ffffffffffffffffffffffffff8p+105L, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.ffffffffffffffffffffffffff8p+106L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-even) == ERANGE", errno, ERANGE, 0, 0, 0);
+# endif
+# if LDBL_MANT_DIG >= 113
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.ffffffffffffffffffffffffffffp+112L, minus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-odd) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1.ffffffffffffffffffffffffffffp+113L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-even) == ERANGE", errno, ERANGE, 0, 0, 0);
+# endif
+#endif
errno = 0;
TEST_ff_f (pow, 0, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
@@ -5444,11 +5508,31 @@ pow_test (void)
TEST_ff_f (pow, 0, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
check_int ("errno for pow(0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
errno = 0;
+ TEST_ff_f (pow, 0, -0x1p24, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, 0, -0x1p127, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ /* Bug 13879: spurious OVERFLOW exception may be present. */
+ TEST_ff_f (pow, 0, -max_value, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|OVERFLOW_EXCEPTION_OK);
+ check_int ("errno for pow(0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
TEST_ff_f (pow, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
check_int ("errno for pow(-0,-even) == ERANGE", errno, ERANGE, 0, 0, 0);
errno = 0;
TEST_ff_f (pow, minus_zero, -11.1L, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
check_int ("errno for pow(-0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1p24, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ TEST_ff_f (pow, minus_zero, -0x1p127, plus_infty, DIVIDE_BY_ZERO_EXCEPTION);
+ check_int ("errno for pow(-0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
+ errno = 0;
+ /* Bug 13879: spurious OVERFLOW exception may be present. */
+ TEST_ff_f (pow, minus_zero, -max_value, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|OVERFLOW_EXCEPTION_OK);
+ check_int ("errno for pow(-0,-num) == ERANGE", errno, ERANGE, 0, 0, 0);
TEST_ff_f (pow, 0x1p72L, 0x1p72L, plus_infty, OVERFLOW_EXCEPTION);
TEST_ff_f (pow, 10, -0x1p72L, 0);
@@ -5487,32 +5571,155 @@ pow_test (void)
/* pow (+inf, y) == +inf for y > 0. */
TEST_ff_f (pow, plus_infty, 2, plus_infty);
+ TEST_ff_f (pow, plus_infty, 0xffffff, plus_infty);
+#ifndef TEST_FLOAT
+ TEST_ff_f (pow, plus_infty, 0x1.fffffffffffffp+52L, plus_infty);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ TEST_ff_f (pow, plus_infty, 0x1.fffffffffffffffep+63L, plus_infty);
+# endif
+# if LDBL_MANT_DIG >= 106
+ TEST_ff_f (pow, plus_infty, 0x1.ffffffffffffffffffffffffff8p+105L, plus_infty);
+# endif
+# if LDBL_MANT_DIG >= 113
+ TEST_ff_f (pow, plus_infty, 0x1.ffffffffffffffffffffffffffffp+112L, plus_infty);
+# endif
+#endif
+ TEST_ff_f (pow, plus_infty, 0x1p24, plus_infty);
+ TEST_ff_f (pow, plus_infty, 0x1p127, plus_infty);
+ TEST_ff_f (pow, plus_infty, max_value, plus_infty);
/* pow (+inf, y) == +0 for y < 0. */
TEST_ff_f (pow, plus_infty, -1, 0.0);
+ TEST_ff_f (pow, plus_infty, -0xffffff, 0.0);
+#ifndef TEST_FLOAT
+ TEST_ff_f (pow, plus_infty, -0x1.fffffffffffffp+52L, 0.0);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ TEST_ff_f (pow, plus_infty, -0x1.fffffffffffffffep+63L, 0.0);
+# endif
+# if LDBL_MANT_DIG >= 106
+ TEST_ff_f (pow, plus_infty, -0x1.ffffffffffffffffffffffffff8p+105L, 0.0);
+# endif
+# if LDBL_MANT_DIG >= 113
+ TEST_ff_f (pow, plus_infty, -0x1.ffffffffffffffffffffffffffffp+112L, 0.0);
+# endif
+#endif
+ TEST_ff_f (pow, plus_infty, -0x1p24, 0.0);
+ TEST_ff_f (pow, plus_infty, -0x1p127, 0.0);
+ TEST_ff_f (pow, plus_infty, -max_value, 0.0);
/* pow (-inf, y) == -inf for y an odd integer > 0. */
TEST_ff_f (pow, minus_infty, 27, minus_infty);
+ TEST_ff_f (pow, minus_infty, 0xffffff, minus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1fffffe, plus_infty);
+#ifndef TEST_FLOAT
+ TEST_ff_f (pow, minus_infty, 0x1.fffffffffffffp+52L, minus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1.fffffffffffffp+53L, plus_infty);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ TEST_ff_f (pow, minus_infty, 0x1.fffffffffffffffep+63L, minus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1.fffffffffffffffep+64L, plus_infty);
+# endif
+# if LDBL_MANT_DIG >= 106
+ TEST_ff_f (pow, minus_infty, 0x1.ffffffffffffffffffffffffff8p+105L, minus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1.ffffffffffffffffffffffffff8p+106L, plus_infty);
+# endif
+# if LDBL_MANT_DIG >= 113
+ TEST_ff_f (pow, minus_infty, 0x1.ffffffffffffffffffffffffffffp+112L, minus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1.ffffffffffffffffffffffffffffp+113L, plus_infty);
+# endif
+#endif
/* pow (-inf, y) == +inf for y > 0 and not an odd integer. */
TEST_ff_f (pow, minus_infty, 28, plus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1p24, plus_infty);
+ TEST_ff_f (pow, minus_infty, 0x1p127, plus_infty);
+ TEST_ff_f (pow, minus_infty, max_value, plus_infty);
/* pow (-inf, y) == -0 for y an odd integer < 0. */
TEST_ff_f (pow, minus_infty, -3, minus_zero);
+ TEST_ff_f (pow, minus_infty, -0xffffff, minus_zero);
+ TEST_ff_f (pow, minus_infty, -0x1fffffe, plus_zero);
+#ifndef TEST_FLOAT
+ TEST_ff_f (pow, minus_infty, -0x1.fffffffffffffp+52L, minus_zero);
+ TEST_ff_f (pow, minus_infty, -0x1.fffffffffffffp+53L, plus_zero);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ TEST_ff_f (pow, minus_infty, -0x1.fffffffffffffffep+63L, minus_zero);
+ TEST_ff_f (pow, minus_infty, -0x1.fffffffffffffffep+64L, plus_zero);
+# endif
+# if LDBL_MANT_DIG >= 106
+ TEST_ff_f (pow, minus_infty, -0x1.ffffffffffffffffffffffffff8p+105L, minus_zero);
+ TEST_ff_f (pow, minus_infty, -0x1.ffffffffffffffffffffffffff8p+106L, plus_zero);
+# endif
+# if LDBL_MANT_DIG >= 113
+ TEST_ff_f (pow, minus_infty, -0x1.ffffffffffffffffffffffffffffp+112L, minus_zero);
+ TEST_ff_f (pow, minus_infty, -0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
+# endif
+#endif
/* pow (-inf, y) == +0 for y < 0 and not an odd integer. */
TEST_ff_f (pow, minus_infty, -2.0, 0.0);
+ TEST_ff_f (pow, minus_infty, -0x1p24, 0.0);
+ TEST_ff_f (pow, minus_infty, -0x1p127, 0.0);
+ TEST_ff_f (pow, minus_infty, -max_value, 0.0);
/* pow (+0, y) == +0 for y an odd integer > 0. */
TEST_ff_f (pow, 0.0, 27, 0.0);
+ TEST_ff_f (pow, 0.0, 0xffffff, 0.0);
+#ifndef TEST_FLOAT
+ TEST_ff_f (pow, 0.0, 0x1.fffffffffffffp+52L, 0.0);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ TEST_ff_f (pow, 0.0, 0x1.fffffffffffffffep+63L, 0.0);
+# endif
+# if LDBL_MANT_DIG >= 106
+ TEST_ff_f (pow, 0.0, 0x1.ffffffffffffffffffffffffff8p+105L, 0.0);
+# endif
+# if LDBL_MANT_DIG >= 113
+ TEST_ff_f (pow, 0.0, 0x1.ffffffffffffffffffffffffffffp+112L, 0.0);
+# endif
+#endif
/* pow (-0, y) == -0 for y an odd integer > 0. */
TEST_ff_f (pow, minus_zero, 27, minus_zero);
+ TEST_ff_f (pow, minus_zero, 0xffffff, minus_zero);
+ TEST_ff_f (pow, minus_zero, 0x1fffffe, plus_zero);
+#ifndef TEST_FLOAT
+ TEST_ff_f (pow, minus_zero, 0x1.fffffffffffffp+52L, minus_zero);
+ TEST_ff_f (pow, minus_zero, 0x1.fffffffffffffp+53L, plus_zero);
+#endif
+#ifdef TEST_LDOUBLE
+# if LDBL_MANT_DIG >= 64
+ TEST_ff_f (pow, minus_zero, 0x1.fffffffffffffffep+63L, minus_zero);
+ TEST_ff_f (pow, minus_zero, 0x1.fffffffffffffffep+64L, plus_zero);
+# endif
+# if LDBL_MANT_DIG >= 106
+ TEST_ff_f (pow, minus_zero, 0x1.ffffffffffffffffffffffffff8p+105L, minus_zero);
+ TEST_ff_f (pow, minus_zero, 0x1.ffffffffffffffffffffffffff8p+106L, plus_zero);
+# endif
+# if LDBL_MANT_DIG >= 113
+ TEST_ff_f (pow, minus_zero, 0x1.ffffffffffffffffffffffffffffp+112L, minus_zero);
+ TEST_ff_f (pow, minus_zero, 0x1.ffffffffffffffffffffffffffffp+113L, plus_zero);
+# endif
+#endif
/* pow (+0, y) == +0 for y > 0 and not an odd integer. */
TEST_ff_f (pow, 0.0, 4, 0.0);
+ TEST_ff_f (pow, 0.0, 0x1p24, 0.0);
+ TEST_ff_f (pow, 0.0, 0x1p127, 0.0);
+ TEST_ff_f (pow, 0.0, max_value, 0.0);
/* pow (-0, y) == +0 for y > 0 and not an odd integer. */
TEST_ff_f (pow, minus_zero, 4, 0.0);
+ TEST_ff_f (pow, minus_zero, 0x1p24, 0.0);
+ TEST_ff_f (pow, minus_zero, 0x1p127, 0.0);
+ TEST_ff_f (pow, minus_zero, max_value, 0.0);
TEST_ff_f (pow, 16, 0.25L, 2);
TEST_ff_f (pow, 0x1p64L, 0.125L, 256);
diff --git a/sysdeps/i386/fpu/e_pow.S b/sysdeps/i386/fpu/e_pow.S
index 63c44f1..1abedf6 100644
--- a/sysdeps/i386/fpu/e_pow.S
+++ b/sysdeps/i386/fpu/e_pow.S
@@ -230,6 +230,16 @@ ENTRY(__ieee754_pow)
testb $2, %dh
jz 16f // jump if x == +inf
+ // fistpll raises invalid exception for |y| >= 1L<<63, so test
+ // that (in which case y is certainly even) before testing
+ // whether y is odd.
+ fld %st // y : y
+ fabs // |y| : y
+ fcompl MO(p63) // y
+ fnstsw
+ sahf
+ jnc 16f
+
// We must find out whether y is an odd integer.
fld %st // y : y
fistpll (%esp) // y
@@ -239,20 +249,13 @@ ENTRY(__ieee754_pow)
sahf
jne 17f
- // OK, the value is an integer, but is the number of bits small
- // enough so that all are coming from the mantissa?
+ // OK, the value is an integer.
popl %eax
cfi_adjust_cfa_offset (-4)
popl %edx
cfi_adjust_cfa_offset (-4)
andb $1, %al
jz 18f // jump if not odd
- movl %edx, %eax
- orl %edx, %edx
- jns 155f
- negl %eax
-155: cmpl $0x00200000, %eax
- ja 18f // does not fit in mantissa bits
// It's an odd integer.
shrl $31, %edx
fldl MOX(minf_mzero, %edx, 8)
@@ -289,6 +292,16 @@ ENTRY(__ieee754_pow)
testb $2, %dh
jz 25f
+ // fistpll raises invalid exception for |y| >= 1L<<63, so test
+ // that (in which case y is certainly even) before testing
+ // whether y is odd.
+ fld %st // y : y
+ fabs // |y| : y
+ fcompl MO(p63) // y
+ fnstsw
+ sahf
+ jnc 25f
+
fld %st // y : y
fistpll (%esp) // y
fildll (%esp) // int(y) : y
@@ -297,16 +310,13 @@ ENTRY(__ieee754_pow)
sahf
jne 26f
- // OK, the value is an integer, but is the number of bits small
- // enough so that all are coming from the mantissa?
+ // OK, the value is an integer.
popl %eax
cfi_adjust_cfa_offset (-4)
popl %edx
cfi_adjust_cfa_offset (-4)
andb $1, %al
jz 27f // jump if not odd
- cmpl $0xffe00000, %edx
- jbe 27f // does not fit in mantissa bits
// It's an odd integer.
// Raise divide-by-zero exception and get minus infinity value.
fldl MO(one)
@@ -329,6 +339,14 @@ ENTRY(__ieee754_pow)
21: testb $2, %dh
jz 22f
+ // fistpll raises invalid exception for |y| >= 1L<<63, so test
+ // that (in which case y is certainly even) before testing
+ // whether y is odd.
+ fcoml MO(p63) // y
+ fnstsw
+ sahf
+ jnc 22f
+
fld %st // y : y
fistpll (%esp) // y
fildll (%esp) // int(y) : y
@@ -337,16 +355,13 @@ ENTRY(__ieee754_pow)
sahf
jne 23f
- // OK, the value is an integer, but is the number of bits small
- // enough so that all are coming from the mantissa?
+ // OK, the value is an integer.
popl %eax
cfi_adjust_cfa_offset (-4)
popl %edx
cfi_adjust_cfa_offset (-4)
andb $1, %al
jz 24f // jump if not odd
- cmpl $0xffe00000, %edx
- jae 24f // does not fit in mantissa bits
// It's an odd integer.
fldl MO(mzero)
ret
diff --git a/sysdeps/i386/fpu/e_powf.S b/sysdeps/i386/fpu/e_powf.S
index cc8456d..aa58ed2 100644
--- a/sysdeps/i386/fpu/e_powf.S
+++ b/sysdeps/i386/fpu/e_powf.S
@@ -224,6 +224,16 @@ ENTRY(__ieee754_powf)
testb $2, %dh
jz 16f // jump if x == +inf
+ // fistpl raises invalid exception for |y| >= 1L<<31, so test
+ // that (in which case y is certainly even) before testing
+ // whether y is odd.
+ fld %st // y : y
+ fabs // |y| : y
+ fcompl MO(p31) // y
+ fnstsw
+ sahf
+ jnc 16f
+
// We must find out whether y is an odd integer.
fld %st // y : y
fistpl (%esp) // y
@@ -233,18 +243,11 @@ ENTRY(__ieee754_powf)
sahf
jne 17f
- // OK, the value is an integer, but is the number of bits small
- // enough so that all are coming from the mantissa?
+ // OK, the value is an integer.
popl %edx
cfi_adjust_cfa_offset (-4)
testb $1, %dl
jz 18f // jump if not odd
- movl %edx, %eax
- orl %edx, %edx
- jns 155f
- negl %eax
-155: cmpl $0x01000000, %eax
- ja 18f // does not fit in mantissa bits
// It's an odd integer.
shrl $31, %edx
fldl MOX(minf_mzero, %edx, 8)
@@ -281,6 +284,16 @@ ENTRY(__ieee754_powf)
testb $2, %dh
jz 25f
+ // fistpl raises invalid exception for |y| >= 1L<<31, so test
+ // that (in which case y is certainly even) before testing
+ // whether y is odd.
+ fld %st // y : y
+ fabs // |y| : y
+ fcompl MO(p31) // y
+ fnstsw
+ sahf
+ jnc 25f
+
fld %st // y : y
fistpl (%esp) // y
fildl (%esp) // int(y) : y
@@ -289,14 +302,11 @@ ENTRY(__ieee754_powf)
sahf
jne 26f
- // OK, the value is an integer, but is the number of bits small
- // enough so that all are coming from the mantissa?
+ // OK, the value is an integer.
popl %edx
cfi_adjust_cfa_offset (-4)
testb $1, %dl
jz 27f // jump if not odd
- cmpl $0xff000000, %edx
- jbe 27f // does not fit in mantissa bits
// It's an odd integer.
// Raise divide-by-zero exception and get minus infinity value.
fldl MO(one)
@@ -319,6 +329,14 @@ ENTRY(__ieee754_powf)
21: testb $2, %dh
jz 22f
+ // fistpl raises invalid exception for |y| >= 1L<<31, so test
+ // that (in which case y is certainly even) before testing
+ // whether y is odd.
+ fcoml MO(p31) // y
+ fnstsw
+ sahf
+ jnc 22f
+
fld %st // y : y
fistpl (%esp) // y
fildl (%esp) // int(y) : y
@@ -327,14 +345,11 @@ ENTRY(__ieee754_powf)
sahf
jne 23f
- // OK, the value is an integer, but is the number of bits small
- // enough so that all are coming from the mantissa?
+ // OK, the value is an integer.
popl %edx
cfi_adjust_cfa_offset (-4)
testb $1, %dl
jz 24f // jump if not odd
- cmpl $0xff000000, %edx
- jae 24f // does not fit in mantissa bits
// It's an odd integer.
fldl MO(mzero)
ret
diff --git a/sysdeps/i386/fpu/e_powl.S b/sysdeps/i386/fpu/e_powl.S
index 5d85089..c0aa194c 100644
--- a/sysdeps/i386/fpu/e_powl.S
+++ b/sysdeps/i386/fpu/e_powl.S
@@ -32,6 +32,9 @@ limit: .double 0.29
ASM_TYPE_DIRECTIVE(p63,@object)
p63: .byte 0, 0, 0, 0, 0, 0, 0xe0, 0x43
ASM_SIZE_DIRECTIVE(p63)
+ ASM_TYPE_DIRECTIVE(p64,@object)
+p64: .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x43
+ ASM_SIZE_DIRECTIVE(p64)
.section .rodata.cst16,"aM",@progbits,16
@@ -243,6 +246,19 @@ ENTRY(__ieee754_powl)
testb $2, %dh
jz 16f // jump if x == +inf
+ // fistpll raises invalid exception for |y| >= 1L<<63, but y
+ // may be odd unless we know |y| >= 1L<<64.
+ fld %st // y : y
+ fabs // |y| : y
+ fcompl MO(p64) // y
+ fnstsw
+ sahf
+ jnc 16f
+ fldl MO(p63) // p63 : y
+ fxch // y : p63
+ fprem // y%p63 : p63
+ fstp %st(1) // y%p63
+
// We must find out whether y is an odd integer.
fld %st // y : y
fistpll (%esp) // y
@@ -295,6 +311,19 @@ ENTRY(__ieee754_powl)
testb $2, %dh
jz 25f
+ // fistpll raises invalid exception for |y| >= 1L<<63, but y
+ // may be odd unless we know |y| >= 1L<<64.
+ fld %st // y : y
+ fabs // |y| : y
+ fcompl MO(p64) // y
+ fnstsw
+ sahf
+ jnc 25f
+ fldl MO(p63) // p63 : y
+ fxch // y : p63
+ fprem // y%p63 : p63
+ fstp %st(1) // y%p63
+
fld %st // y : y
fistpll (%esp) // y
fildll (%esp) // int(y) : y
@@ -332,6 +361,18 @@ ENTRY(__ieee754_powl)
21: testb $2, %dh
jz 22f
+ // fistpll raises invalid exception for |y| >= 1L<<63, but y
+ // may be odd unless we know |y| >= 1L<<64.
+ fld %st // y : y
+ fcompl MO(p64) // y
+ fnstsw
+ sahf
+ jnc 22f
+ fldl MO(p63) // p63 : y
+ fxch // y : p63
+ fprem // y%p63 : p63
+ fstp %st(1) // y%p63
+
fld %st // y : y
fistpll (%esp) // y
fildll (%esp) // int(y) : y
diff --git a/sysdeps/ieee754/dbl-64/e_pow.c b/sysdeps/ieee754/dbl-64/e_pow.c
index f936a72..26ffaad 100644
--- a/sysdeps/ieee754/dbl-64/e_pow.c
+++ b/sysdeps/ieee754/dbl-64/e_pow.c
@@ -111,7 +111,7 @@ __ieee754_pow(double x, double y) {
if (((v.i[HIGH_HALF] & 0x7fffffff) == 0x7ff00000 && v.i[LOW_HALF] != 0)
|| (v.i[HIGH_HALF] & 0x7fffffff) > 0x7ff00000)
return y;
- if (ABS(y) > 1.0e20) return (y>0)?0:INF.x;
+ if (ABS(y) > 1.0e20) return (y>0)?0:1.0/ABS(x);
k = checkint(y);
if (k == -1)
return y < 0 ? 1.0/x : x;
diff --git a/sysdeps/x86_64/fpu/e_powl.S b/sysdeps/x86_64/fpu/e_powl.S
index bd6d828..562791d 100644
--- a/sysdeps/x86_64/fpu/e_powl.S
+++ b/sysdeps/x86_64/fpu/e_powl.S
@@ -32,6 +32,9 @@ limit: .double 0.29
ASM_TYPE_DIRECTIVE(p63,@object)
p63: .byte 0, 0, 0, 0, 0, 0, 0xe0, 0x43
ASM_SIZE_DIRECTIVE(p63)
+ ASM_TYPE_DIRECTIVE(p64,@object)
+p64: .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x43
+ ASM_SIZE_DIRECTIVE(p64)
.section .rodata.cst16,"aM",@progbits,16
@@ -227,6 +230,19 @@ ENTRY(__ieee754_powl)
testb $2, %dh
jz 16f // jump if x == +inf
+ // fistpll raises invalid exception for |y| >= 1L<<63, but y
+ // may be odd unless we know |y| >= 1L<<64.
+ fldl MO(p64) // 1L<<64 : y
+ fld %st(1) // y : 1L<<64 : y
+ fabs // |y| : 1L<<64 : y
+ fcomip %st(1), %st // 1L<<64 : y
+ fstp %st(0) // y
+ jnc 16f
+ fldl MO(p63) // p63 : y
+ fxch // y : p63
+ fprem // y%p63 : p63
+ fstp %st(1) // y%p63
+
// We must find out whether y is an odd integer.
fld %st // y : y
fistpll -8(%rsp) // y
@@ -284,6 +300,19 @@ ENTRY(__ieee754_powl)
testb $2, %dh
jz 25f
+ // fistpll raises invalid exception for |y| >= 1L<<63, but y
+ // may be odd unless we know |y| >= 1L<<64.
+ fldl MO(p64) // 1L<<64 : y
+ fld %st(1) // y : 1L<<64 : y
+ fabs // |y| : 1L<<64 : y
+ fcomip %st(1), %st // 1L<<64 : y
+ fstp %st(0) // y
+ jnc 25f
+ fldl MO(p63) // p63 : y
+ fxch // y : p63
+ fprem // y%p63 : p63
+ fstp %st(1) // y%p63
+
fld %st // y : y
fistpll -8(%rsp) // y
fildll -8(%rsp) // int(y) : y
@@ -315,6 +344,18 @@ ENTRY(__ieee754_powl)
21: testb $2, %dh
jz 22f
+ // fistpll raises invalid exception for |y| >= 1L<<63, but y
+ // may be odd unless we know |y| >= 1L<<64.
+ fldl MO(p64) // 1L<<64 : y
+ fxch // y : 1L<<64
+ fcomi %st(1), %st // y : 1L<<64
+ fstp %st(1) // y
+ jnc 22f
+ fldl MO(p63) // p63 : y
+ fxch // y : p63
+ fprem // y%p63 : p63
+ fstp %st(1) // y%p63
+
fld %st // y : y
fistpll -8(%rsp) // y
fildll -8(%rsp) // int(y) : y