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Fix atan / atan2 missing underflows (bug 15319).

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This patch fixes bug 15319, missing underflows from atan / atan2 when
the result of atan is very close to its small argument (or that of
atan2 is very close to the ratio of its arguments, which may be an
exact division).

The usual approach of doing an underflowing computation if the
computed result is subnormal is followed.  For 32-bit x86, there are
extra complications: the inline __ieee754_atan2 in bits/mathinline.h
needs to be disabled for float and double because other libm functions
using it generally rely on getting proper underflow exceptions from
it, while the out-of-line functions have to remove excess range and
precision from the underflowing result so as to return an exact 0 in
the case where errno should be set for underflow to 0.  (The failures
I saw without that are similar to those Carlos reported for other
functions, where I haven't seen a response to
<https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html>
confirming if my diagnosis is correct.  Arguably all libm functions
with float and double returns should remove excess range and
precision, but that's a separate matter.)

The x86_64 long double case reported in a comment in bug 15319 is not
a bug (it's an argument of LDBL_MIN, and x86_64 is an after-rounding
architecture so the correct IEEE result is not to raise underflow in
the given rounding mode, in addition to treating the result as an
exact LDBL_MIN being within the newly clarified documentation of
accuracy goals).  I'm presuming that the fpatan instruction can be
trusted to raise appropriate exceptions when the (long double) result
underflows (after rounding) and so no changes are needed for x86 /
x86_64 long double functions here; empirically this is the case for
the cases covered in the testsuite, on my system.

Tested for x86_64, x86, powerpc and mips64.  Only 32-bit x86 needs
ulps updates (for the changes to inlines meaning some functions no
longer get excess precision from their __ieee754_atan2* calls).

	[BZ #15319]
	* sysdeps/i386/fpu/e_atan2.S (dbl_min): New object.
	(MO): New macro.
	(__ieee754_atan2): For results with small absolute value, force
	underflow exception and remove excess range and precision from
	return value.
	* sysdeps/i386/fpu/e_atan2f.S (flt_min): New object.
	(MO): New macro.
	(__ieee754_atan2f): For results with small absolute value, force
	underflow exception and remove excess range and precision from
	return value.
	* sysdeps/i386/fpu/s_atan.S (dbl_min): New object.
	(MO): New macro.
	(__atan): For results with small absolute value, force underflow
	exception and remove excess range and precision from return value.
	* sysdeps/i386/fpu/s_atanf.S (flt_min): New object.
	(MO): New macro.
	(__atanf): For results with small absolute value, force underflow
	exception and remove excess range and precision from return value.
	* sysdeps/ieee754/dbl-64/e_atan2.c: Include <float.h> and
	<math.h>.
	(__ieee754_atan2): Force underflow exception for results with
	small absolute value.
	* sysdeps/ieee754/dbl-64/s_atan.c: Include <float.h> and
	<math_private.h>.
	(atan): Force underflow exception for results with small absolute
	value.
	* sysdeps/ieee754/flt-32/s_atanf.c: Include <float.h>.
	(__atanf): Force underflow exception for results with small
	absolute value.
	* sysdeps/ieee754/ldbl-128/s_atanl.c: Include <float.h> and
	<math.h>.
	(__atanl): Force underflow exception for results with small
	absolute value.
	* sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Include <float.h>.
	(__atanl): Force underflow exception for results with small
	absolute value.
	* sysdeps/x86/fpu/bits/mathinline.h
	[!__SSE2_MATH__ && !__x86_64__ && __LIBC_INTERNAL_MATH_INLINES]
	(__ieee754_atan2): Only define inline for long double.
	* sysdeps/x86_64/fpu/multiarch/e_atan2.c
	[HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Include <math.h>.
	* math/auto-libm-test-in: Do not mark underflow exceptions as
	possibly missing for bug 15319.  Add more tests of atan2.
	* math/auto-libm-test-out: Regenerated.
	* math/libm-test.inc (casin_test_data): Do not mark underflow
	exceptions as possibly missing for bug 15319.
	(casinh_test_data): Likewise.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
This commit is contained in:
Joseph Myers 2015-02-18 21:10:49 +00:00
parent 9ee16d8b34
commit 4629c866ad
17 changed files with 1840 additions and 993 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

52
ChangeLog
View File

@ -1,3 +1,55 @@
2015-02-18 Joseph Myers <joseph@codesourcery.com>
[BZ #15319]
* sysdeps/i386/fpu/e_atan2.S (dbl_min): New object.
(MO): New macro.
(__ieee754_atan2): For results with small absolute value, force
underflow exception and remove excess range and precision from
return value.
* sysdeps/i386/fpu/e_atan2f.S (flt_min): New object.
(MO): New macro.
(__ieee754_atan2f): For results with small absolute value, force
underflow exception and remove excess range and precision from
return value.
* sysdeps/i386/fpu/s_atan.S (dbl_min): New object.
(MO): New macro.
(__atan): For results with small absolute value, force underflow
exception and remove excess range and precision from return value.
* sysdeps/i386/fpu/s_atanf.S (flt_min): New object.
(MO): New macro.
(__atanf): For results with small absolute value, force underflow
exception and remove excess range and precision from return value.
* sysdeps/ieee754/dbl-64/e_atan2.c: Include <float.h> and
<math.h>.
(__ieee754_atan2): Force underflow exception for results with
small absolute value.
* sysdeps/ieee754/dbl-64/s_atan.c: Include <float.h> and
<math_private.h>.
(atan): Force underflow exception for results with small absolute
value.
* sysdeps/ieee754/flt-32/s_atanf.c: Include <float.h>.
(__atanf): Force underflow exception for results with small
absolute value.
* sysdeps/ieee754/ldbl-128/s_atanl.c: Include <float.h> and
<math.h>.
(__atanl): Force underflow exception for results with small
absolute value.
* sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Include <float.h>.
(__atanl): Force underflow exception for results with small
absolute value.
* sysdeps/x86/fpu/bits/mathinline.h
[!__SSE2_MATH__ && !__x86_64__ && __LIBC_INTERNAL_MATH_INLINES]
(__ieee754_atan2): Only define inline for long double.
* sysdeps/x86_64/fpu/multiarch/e_atan2.c
[HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Include <math.h>.
* math/auto-libm-test-in: Do not mark underflow exceptions as
possibly missing for bug 15319. Add more tests of atan2.
* math/auto-libm-test-out: Regenerated.
* math/libm-test.inc (casin_test_data): Do not mark underflow
exceptions as possibly missing for bug 15319.
(casinh_test_data): Likewise.
* sysdeps/i386/fpu/libm-test-ulps: Update.
2015-02-18 Steve Ellcey <sellcey@imgtec.com>
* sysdeps/unix/sysv/linux/mips/bits/endian.h: Remove.

4
NEWS
View File

@ -9,8 +9,8 @@ Version 2.22
* The following bugs are resolved with this release:
4719, 15467, 15790, 16560, 17569, 17792, 17912, 17932, 17944, 17949,
17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996.
4719, 15319, 15467, 15790, 16560, 17569, 17792, 17912, 17932, 17944,
17949, 17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996.
Version 2.21

36
math/auto-libm-test-in
View File

@ -93,14 +93,13 @@ atan 0x1p-5
atan 2.5
atan 10
atan 1e6
# Bug 15319: underflow exception may be missing.
atan 0x1p-100 missing-underflow
atan 0x1p-600 missing-underflow
atan 0x1p-10000 missing-underflow
atan min missing-underflow
atan -min missing-underflow
atan min_subnorm missing-underflow
atan -min_subnorm missing-underflow
atan 0x1p-100
atan 0x1p-600
atan 0x1p-10000
atan min
atan -min
atan min_subnorm
atan -min_subnorm
# atan2 (0,x) == 0 for x > 0.
atan2 0 1
@ -156,13 +155,20 @@ atan2 min -max
atan2 -min -max
atan2 min_subnorm -max
atan2 -min_subnorm -max
# Bug 15319: underflow exception may be missing.
atan2 1 max missing-underflow
atan2 -1 max missing-underflow
atan2 min max missing-underflow
atan2 -min max missing-underflow
atan2 min_subnorm max missing-underflow
atan2 -min_subnorm max missing-underflow
atan2 1 max
atan2 -1 max
atan2 min max
atan2 -min max
atan2 min_subnorm max
atan2 -min_subnorm max
atan2 min 1
atan2 -min 1
atan2 min_subnorm 1
atan2 -min_subnorm 1
atan2 min -1
atan2 -min -1
atan2 min_subnorm -1
atan2 -min_subnorm -1
atanh 0
atanh -0

2434
math/auto-libm-test-out
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File diff suppressed because it is too large Load Diff

90
math/libm-test.inc
View File

@ -3743,11 +3743,10 @@ static const struct test_c_c_data casin_test_data[] =
TEST_c_c (casin, 0x1p-23L, -0x1p-23L, 1.192092895507806853113684971258850504935e-7L, -1.192092895507818146886315028596704749235e-7L),
TEST_c_c (casin, -0x1p-23L, 0x1p-23L, -1.192092895507806853113684971258850504935e-7L, 1.192092895507818146886315028596704749235e-7L),
TEST_c_c (casin, -0x1p-23L, -0x1p-23L, -1.192092895507806853113684971258850504935e-7L, -1.192092895507818146886315028596704749235e-7L),
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casin, 0x1.fp-129L, 0x1p-23L, 2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casin, 0x1.fp-129L, -0x1p-23L, 2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casin, -0x1.fp-129L, 0x1p-23L, -2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casin, -0x1.fp-129L, -0x1p-23L, -2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casin, 0x1.fp-129L, 0x1p-23L, 2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casin, 0x1.fp-129L, -0x1p-23L, 2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casin, -0x1.fp-129L, 0x1p-23L, -2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casin, -0x1.fp-129L, -0x1p-23L, -2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casin, 0x1p-23L, 0x1.fp-129L, 1.192092895507815323443157514352519154304e-7L, 2.846900380897747786805634596726756660388e-39L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casin, -0x1p-23L, 0x1.fp-129L, -1.192092895507815323443157514352519154304e-7L, 2.846900380897747786805634596726756660388e-39L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casin, 0x1p-23L, -0x1.fp-129L, 1.192092895507815323443157514352519154304e-7L, -2.846900380897747786805634596726756660388e-39L, UNDERFLOW_EXCEPTION_FLOAT),
@ -3813,11 +3812,10 @@ static const struct test_c_c_data casin_test_data[] =
TEST_c_c (casin, -0x1p-52L, 0x1p-52L, -2.220446049250313080847263336181604132852e-16L, 2.220446049250313080847263336181677117148e-16L),
TEST_c_c (casin, -0x1p-52L, -0x1p-52L, -2.220446049250313080847263336181604132852e-16L, -2.220446049250313080847263336181677117148e-16L),
#ifndef TEST_FLOAT
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casin, 0x1.fp-1025L, 0x1p-52L, 5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, 0x1.fp-1025L, -0x1p-52L, 5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, 0x1p-52L, -5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, -0x1p-52L, -5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, 0x1.fp-1025L, 0x1p-52L, 5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, 0x1.fp-1025L, -0x1p-52L, 5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, 0x1p-52L, -5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, -0x1p-52L, -5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, 0x1p-52L, 0x1.fp-1025L, 2.220446049250313080847263336181658871074e-16L, 5.388850751072128349671657362289548938458e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, -0x1p-52L, 0x1.fp-1025L, -2.220446049250313080847263336181658871074e-16L, 5.388850751072128349671657362289548938458e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, 0x1p-52L, -0x1.fp-1025L, 2.220446049250313080847263336181658871074e-16L, -5.388850751072128349671657362289548938458e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
@ -3888,11 +3886,10 @@ static const struct test_c_c_data casin_test_data[] =
TEST_c_c (casin, -0x1p-63L, 0x1p-63L, -1.084202172485504434007452800869941711422e-19L, 1.084202172485504434007452800869941711430e-19L),
TEST_c_c (casin, -0x1p-63L, -0x1p-63L, -1.084202172485504434007452800869941711422e-19L, -1.084202172485504434007452800869941711430e-19L),
#if defined TEST_LDOUBLE && LDBL_MIN_EXP <= -16381
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casin, 0x1.fp-16385L, 0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, 0x1.fp-16385L, -0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, -0x1.fp-16385L, 0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, -0x1.fp-16385L, -0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, 0x1.fp-16385L, 0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, 0x1.fp-16385L, -0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, -0x1.fp-16385L, 0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, -0x1.fp-16385L, -0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, 0x1p-63L, 0x1.fp-16385L, 1.084202172485504434007452800869941711428e-19L, 8.142593549724601460479922838826119584465e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, -0x1p-63L, 0x1.fp-16385L, -1.084202172485504434007452800869941711428e-19L, 8.142593549724601460479922838826119584465e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, 0x1p-63L, -0x1.fp-16385L, 1.084202172485504434007452800869941711428e-19L, -8.142593549724601460479922838826119584465e-4933L, UNDERFLOW_EXCEPTION),
@ -3951,11 +3948,10 @@ static const struct test_c_c_data casin_test_data[] =
TEST_c_c (casin, -0x1p-105L, 0x1p-105L, -2.465190328815661891911651766508706967729e-32L, 2.465190328815661891911651766508706967729e-32L),
TEST_c_c (casin, -0x1p-105L, -0x1p-105L, -2.465190328815661891911651766508706967729e-32L, -2.465190328815661891911651766508706967729e-32L),
#ifndef TEST_FLOAT
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casin, 0x1.fp-1025L, 0x1p-105L, 5.388850751072128349671657362289416093031e-309L, 2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, 0x1.fp-1025L, -0x1p-105L, 5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, 0x1p-105L, -5.388850751072128349671657362289416093031e-309L, 2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, -0x1p-105L, -5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casin, 0x1.fp-1025L, 0x1p-105L, 5.388850751072128349671657362289416093031e-309L, 2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, 0x1.fp-1025L, -0x1p-105L, 5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, 0x1p-105L, -5.388850751072128349671657362289416093031e-309L, 2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, -0x1.fp-1025L, -0x1p-105L, -5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, 0x1p-105L, 0x1.fp-1025L, 2.465190328815661891911651766508706967729e-32L, 5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, -0x1p-105L, 0x1.fp-1025L, -2.465190328815661891911651766508706967729e-32L, 5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casin, 0x1p-105L, -0x1.fp-1025L, 2.465190328815661891911651766508706967729e-32L, -5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
@ -4008,11 +4004,10 @@ static const struct test_c_c_data casin_test_data[] =
TEST_c_c (casin, -0x1p-112L, 0x1p-112L, -1.925929944387235853055977942584927318538e-34L, 1.925929944387235853055977942584927318538e-34L),
TEST_c_c (casin, -0x1p-112L, -0x1p-112L, -1.925929944387235853055977942584927318538e-34L, -1.925929944387235853055977942584927318538e-34L),
#if defined TEST_LDOUBLE && LDBL_MIN_EXP <= -16381
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casin, 0x1.fp-16385L, 0x1p-112L, 8.142593549724601460479922838826119584417e-4933L, 1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, 0x1.fp-16385L, -0x1p-112L, 8.142593549724601460479922838826119584417e-4933L, -1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, -0x1.fp-16385L, 0x1p-112L, -8.142593549724601460479922838826119584417e-4933L, 1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, -0x1.fp-16385L, -0x1p-112L, -8.142593549724601460479922838826119584417e-4933L, -1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casin, 0x1.fp-16385L, 0x1p-112L, 8.142593549724601460479922838826119584417e-4933L, 1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, 0x1.fp-16385L, -0x1p-112L, 8.142593549724601460479922838826119584417e-4933L, -1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, -0x1.fp-16385L, 0x1p-112L, -8.142593549724601460479922838826119584417e-4933L, 1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, -0x1.fp-16385L, -0x1p-112L, -8.142593549724601460479922838826119584417e-4933L, -1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, 0x1p-112L, 0x1.fp-16385L, 1.925929944387235853055977942584927318538e-34L, 8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, -0x1p-112L, 0x1.fp-16385L, -1.925929944387235853055977942584927318538e-34L, 8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casin, 0x1p-112L, -0x1.fp-16385L, 1.925929944387235853055977942584927318538e-34L, -8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
@ -4442,11 +4437,10 @@ static const struct test_c_c_data casinh_test_data[] =
TEST_c_c (casinh, 0x1.fp-129L, -0x1p-23L, 2.846900380897747786805634596726756660388e-39L, -1.192092895507815323443157514352519154304e-7L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casinh, -0x1.fp-129L, 0x1p-23L, -2.846900380897747786805634596726756660388e-39L, 1.192092895507815323443157514352519154304e-7L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casinh, -0x1.fp-129L, -0x1p-23L, -2.846900380897747786805634596726756660388e-39L, -1.192092895507815323443157514352519154304e-7L, UNDERFLOW_EXCEPTION_FLOAT),
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casinh, 0x1p-23L, 0x1.fp-129L, 1.192092895507809676556842485683592032154e-7L, 2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casinh, -0x1p-23L, 0x1.fp-129L, -1.192092895507809676556842485683592032154e-7L, 2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casinh, 0x1p-23L, -0x1.fp-129L, 1.192092895507809676556842485683592032154e-7L, -2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casinh, -0x1p-23L, -0x1.fp-129L, -1.192092895507809676556842485683592032154e-7L, -2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_OK_FLOAT),
TEST_c_c (casinh, 0x1p-23L, 0x1.fp-129L, 1.192092895507809676556842485683592032154e-7L, 2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casinh, -0x1p-23L, 0x1.fp-129L, -1.192092895507809676556842485683592032154e-7L, 2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casinh, 0x1p-23L, -0x1.fp-129L, 1.192092895507809676556842485683592032154e-7L, -2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casinh, -0x1p-23L, -0x1.fp-129L, -1.192092895507809676556842485683592032154e-7L, -2.846900380897707329917933005874691056564e-39L, UNDERFLOW_EXCEPTION_FLOAT),
TEST_c_c (casinh, 0.0L, 0x1p-23L, 0.0L, 1.192092895507815323443157514352519154304e-7L),
TEST_c_c (casinh, 0.0L, -0x1p-23L, 0.0L, -1.192092895507815323443157514352519154304e-7L),
TEST_c_c (casinh, -0.0L, 0x1p-23L, -0.0L, 1.192092895507815323443157514352519154304e-7L),
@ -4512,11 +4506,10 @@ static const struct test_c_c_data casinh_test_data[] =
TEST_c_c (casinh, 0x1.fp-1025L, -0x1p-52L, 5.388850751072128349671657362289548938458e-309L, -2.220446049250313080847263336181658871074e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1.fp-1025L, 0x1p-52L, -5.388850751072128349671657362289548938458e-309L, 2.220446049250313080847263336181658871074e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1.fp-1025L, -0x1p-52L, -5.388850751072128349671657362289548938458e-309L, -2.220446049250313080847263336181658871074e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casinh, 0x1p-52L, 0x1.fp-1025L, 2.220446049250313080847263336181622378926e-16L, 5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, -0x1p-52L, 0x1.fp-1025L, -2.220446049250313080847263336181622378926e-16L, 5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, 0x1p-52L, -0x1.fp-1025L, 2.220446049250313080847263336181622378926e-16L, -5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, -0x1p-52L, -0x1.fp-1025L, -2.220446049250313080847263336181622378926e-16L, -5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, 0x1p-52L, 0x1.fp-1025L, 2.220446049250313080847263336181622378926e-16L, 5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1p-52L, 0x1.fp-1025L, -2.220446049250313080847263336181622378926e-16L, 5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, 0x1p-52L, -0x1.fp-1025L, 2.220446049250313080847263336181622378926e-16L, -5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1p-52L, -0x1.fp-1025L, -2.220446049250313080847263336181622378926e-16L, -5.388850751072128349671657362289283247603e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
#endif
TEST_c_c (casinh, 0.0L, 0x1p-52L, 0.0L, 2.220446049250313080847263336181658871074e-16L),
TEST_c_c (casinh, 0.0L, -0x1p-52L, 0.0L, -2.220446049250313080847263336181658871074e-16L),
@ -4587,11 +4580,10 @@ static const struct test_c_c_data casinh_test_data[] =
TEST_c_c (casinh, 0x1.fp-16385L, -0x1p-63L, 8.142593549724601460479922838826119584465e-4933L, -1.084202172485504434007452800869941711428e-19L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1.fp-16385L, 0x1p-63L, -8.142593549724601460479922838826119584465e-4933L, 1.084202172485504434007452800869941711428e-19L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1.fp-16385L, -0x1p-63L, -8.142593549724601460479922838826119584465e-4933L, -1.084202172485504434007452800869941711428e-19L, UNDERFLOW_EXCEPTION),
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casinh, 0x1p-63L, 0x1.fp-16385L, 1.084202172485504434007452800869941711424e-19L, 8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, -0x1p-63L, 0x1.fp-16385L, -1.084202172485504434007452800869941711424e-19L, 8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, 0x1p-63L, -0x1.fp-16385L, 1.084202172485504434007452800869941711424e-19L, -8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, -0x1p-63L, -0x1.fp-16385L, -1.084202172485504434007452800869941711424e-19L, -8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, 0x1p-63L, 0x1.fp-16385L, 1.084202172485504434007452800869941711424e-19L, 8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1p-63L, 0x1.fp-16385L, -1.084202172485504434007452800869941711424e-19L, 8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, 0x1p-63L, -0x1.fp-16385L, 1.084202172485504434007452800869941711424e-19L, -8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1p-63L, -0x1.fp-16385L, -1.084202172485504434007452800869941711424e-19L, -8.142593549724601460479922838826119584369e-4933L, UNDERFLOW_EXCEPTION),
#endif
TEST_c_c (casinh, 0.0L, 0x1p-63L, 0.0L, 1.084202172485504434007452800869941711428e-19L),
TEST_c_c (casinh, 0.0L, -0x1p-63L, 0.0L, -1.084202172485504434007452800869941711428e-19L),
@ -4650,11 +4642,10 @@ static const struct test_c_c_data casinh_test_data[] =
TEST_c_c (casinh, 0x1.fp-1025L, -0x1p-105L, 5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1.fp-1025L, 0x1p-105L, -5.388850751072128349671657362289416093031e-309L, 2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1.fp-1025L, -0x1p-105L, -5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_DOUBLE),
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casinh, 0x1p-105L, 0x1.fp-1025L, 2.465190328815661891911651766508706967729e-32L, 5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, -0x1p-105L, 0x1.fp-1025L, -2.465190328815661891911651766508706967729e-32L, 5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, 0x1p-105L, -0x1.fp-1025L, 2.465190328815661891911651766508706967729e-32L, -5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, -0x1p-105L, -0x1.fp-1025L, -2.465190328815661891911651766508706967729e-32L, -5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
TEST_c_c (casinh, 0x1p-105L, 0x1.fp-1025L, 2.465190328815661891911651766508706967729e-32L, 5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1p-105L, 0x1.fp-1025L, -2.465190328815661891911651766508706967729e-32L, 5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, 0x1p-105L, -0x1.fp-1025L, 2.465190328815661891911651766508706967729e-32L, -5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
TEST_c_c (casinh, -0x1p-105L, -0x1.fp-1025L, -2.465190328815661891911651766508706967729e-32L, -5.388850751072128349671657362289416093031e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
#endif
TEST_c_c (casinh, 0.0L, 0x1p-105L, 0.0L, 2.465190328815661891911651766508706967729e-32L),
TEST_c_c (casinh, 0.0L, -0x1p-105L, 0.0L, -2.465190328815661891911651766508706967729e-32L),
@ -4707,11 +4698,10 @@ static const struct test_c_c_data casinh_test_data[] =
TEST_c_c (casinh, 0x1.fp-16385L, -0x1p-112L, 8.142593549724601460479922838826119584417e-4933L, -1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1.fp-16385L, 0x1p-112L, -8.142593549724601460479922838826119584417e-4933L, 1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1.fp-16385L, -0x1p-112L, -8.142593549724601460479922838826119584417e-4933L, -1.925929944387235853055977942584927318538e-34L, UNDERFLOW_EXCEPTION),
/* Bug 15319: underflow exception may be missing. */
TEST_c_c (casinh, 0x1p-112L, 0x1.fp-16385L, 1.925929944387235853055977942584927318538e-34L, 8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, -0x1p-112L, 0x1.fp-16385L, -1.925929944387235853055977942584927318538e-34L, 8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, 0x1p-112L, -0x1.fp-16385L, 1.925929944387235853055977942584927318538e-34L, -8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, -0x1p-112L, -0x1.fp-16385L, -1.925929944387235853055977942584927318538e-34L, -8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION_OK),
TEST_c_c (casinh, 0x1p-112L, 0x1.fp-16385L, 1.925929944387235853055977942584927318538e-34L, 8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1p-112L, 0x1.fp-16385L, -1.925929944387235853055977942584927318538e-34L, 8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, 0x1p-112L, -0x1.fp-16385L, 1.925929944387235853055977942584927318538e-34L, -8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
TEST_c_c (casinh, -0x1p-112L, -0x1.fp-16385L, -1.925929944387235853055977942584927318538e-34L, -8.142593549724601460479922838826119584417e-4933L, UNDERFLOW_EXCEPTION),
#endif
TEST_c_c (casinh, 0.0L, 0x1p-112L, 0.0L, 1.925929944387235853055977942584927318538e-34L),
TEST_c_c (casinh, 0.0L, -0x1p-112L, 0.0L, -1.925929944387235853055977942584927318538e-34L),

35
sysdeps/i386/fpu/e_atan2.S
View File

@ -7,10 +7,43 @@
RCSID("$NetBSD: e_atan2.S,v 1.4 1995/05/08 23:46:28 jtc Exp $")
.section .rodata.cst8,"aM",@progbits,8
.p2align 3
.type dbl_min,@object
dbl_min: .byte 0, 0, 0, 0, 0, 0, 0x10, 0
ASM_SIZE_DIRECTIVE(dbl_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__ieee754_atan2)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
fldl 4(%esp)
fldl 12(%esp)
fpatan
ret
fldl MO(dbl_min)
fld %st(1)
fabs
fucompp
fnstsw
sahf
jnc 1f
subl $8, %esp
cfi_adjust_cfa_offset (8)
fld %st(0)
fmul %st(0)
fstpl (%esp)
fstpl (%esp)
fldl (%esp)
addl $8, %esp
cfi_adjust_cfa_offset (-8)
1: ret
END (__ieee754_atan2)
strong_alias (__ieee754_atan2, __atan2_finite)

35
sysdeps/i386/fpu/e_atan2f.S
View File

@ -7,10 +7,43 @@
RCSID("$NetBSD: e_atan2f.S,v 1.1 1995/05/08 23:35:10 jtc Exp $")
.section .rodata.cst4,"aM",@progbits,4
.p2align 2
.type flt_min,@object
flt_min: .byte 0, 0, 0x80, 0
ASM_SIZE_DIRECTIVE(flt_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__ieee754_atan2f)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
flds 4(%esp)
flds 8(%esp)
fpatan
ret
flds MO(flt_min)
fld %st(1)
fabs
fucompp
fnstsw
sahf
jnc 1f
subl $4, %esp
cfi_adjust_cfa_offset (4)
fld %st(0)
fmul %st(0)
fstps (%esp)
fstps (%esp)
flds (%esp)
addl $4, %esp
cfi_adjust_cfa_offset (-4)
1: ret
END (__ieee754_atan2f)
strong_alias (__ieee754_atan2f, __atan2f_finite)

24
sysdeps/i386/fpu/libm-test-ulps
View File

@ -324,10 +324,10 @@ ildouble: 2
ldouble: 2
Function: Real part of "casin_downward":
double: 1
float: 1
idouble: 1
ifloat: 1
double: 2
float: 2
idouble: 2
ifloat: 2
ildouble: 2
ldouble: 2
@ -357,9 +357,9 @@ ldouble: 5
Function: Real part of "casin_upward":
double: 2
float: 1
float: 2
idouble: 2
ifloat: 1
ifloat: 2
ildouble: 2
ldouble: 2
@ -396,10 +396,10 @@ ildouble: 5
ldouble: 5
Function: Imaginary part of "casinh_downward":
double: 1
float: 1
idouble: 1
ifloat: 1
double: 2
float: 2
idouble: 2
ifloat: 2
ildouble: 2
ldouble: 2
@ -429,9 +429,9 @@ ldouble: 5
Function: Imaginary part of "casinh_upward":
double: 2
float: 1
float: 2
idouble: 2
ifloat: 1
ifloat: 2
ildouble: 2
ldouble: 2

33
sysdeps/i386/fpu/s_atan.S
View File

@ -7,10 +7,41 @@
RCSID("$NetBSD: s_atan.S,v 1.4 1995/05/08 23:50:41 jtc Exp $")
.section .rodata.cst8,"aM",@progbits,8
.p2align 3
.type dbl_min,@object
dbl_min: .byte 0, 0, 0, 0, 0, 0, 0x10, 0
ASM_SIZE_DIRECTIVE(dbl_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__atan)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
fldl 4(%esp)
fld1
fpatan
ret
fldl MO(dbl_min)
fld %st(1)
fabs
fucompp
fnstsw
sahf
jnc 1f
subl $8, %esp
cfi_adjust_cfa_offset (8)
fld %st(0)
fmul %st(0)
fstpl (%esp)
addl $8, %esp
cfi_adjust_cfa_offset (-8)
1: ret
END (__atan)
weak_alias (__atan, atan)

33
sysdeps/i386/fpu/s_atanf.S
View File

@ -7,10 +7,41 @@
RCSID("$NetBSD: s_atanf.S,v 1.3 1995/05/08 23:51:33 jtc Exp $")
.section .rodata.cst4,"aM",@progbits,4
.p2align 2
.type flt_min,@object
flt_min: .byte 0, 0, 0x80, 0
ASM_SIZE_DIRECTIVE(flt_min)
#ifdef PIC
# define MO(op) op##@GOTOFF(%ecx)
#else
# define MO(op) op
#endif
.text
ENTRY(__atanf)
#ifdef PIC
LOAD_PIC_REG (cx)
#endif
flds 4(%esp)
fld1
fpatan
ret
flds MO(flt_min)
fld %st(1)
fabs
fucompp
fnstsw
sahf
jnc 1f
subl $4, %esp
cfi_adjust_cfa_offset (4)
fld %st(0)
fmul %st(0)
fstps (%esp)
addl $4, %esp
cfi_adjust_cfa_offset (-4)
1: ret
END (__atanf)
weak_alias (__atanf, atanf)

14
sysdeps/ieee754/dbl-64/e_atan2.c
View File

@ -41,6 +41,8 @@
#include "MathLib.h"
#include "uatan.tbl"
#include "atnat2.h"
#include <float.h>
#include <math.h>
#include <math_private.h>
#include <stap-probe.h>
@ -202,10 +204,18 @@ __ieee754_atan2 (double y, double x)
{
if (x > 0)
{
double ret;
if ((z = ay / ax) < TWOM1022)
return normalized (ax, ay, y, z);
ret = normalized (ax, ay, y, z);
else
return signArctan2 (y, z);
ret = signArctan2 (y, z);
if (fabs (ret) < DBL_MIN)
{
double vret = ret ? ret : DBL_MIN;
double force_underflow = vret * vret;
math_force_eval (force_underflow);
}
return ret;
}
else
{

11
sysdeps/ieee754/dbl-64/s_atan.c
View File

@ -41,7 +41,9 @@
#include "MathLib.h"
#include "uatan.tbl"
#include "atnat.h"
#include <float.h>
#include <math.h>
#include <math_private.h>
#include <stap-probe.h>
void __mpatan (mp_no *, mp_no *, int); /* see definition in mpatan.c */
@ -85,7 +87,14 @@ atan (double x)
if (u < B)
{
if (u < A)
return x;
{
if (u < DBL_MIN)
{
double force_underflow = x * x;
math_force_eval (force_underflow);
}
return x;
}
else
{ /* A <= u < B */
v = x * x;

6
sysdeps/ieee754/flt-32/s_atanf.c
View File

@ -17,6 +17,7 @@
static char rcsid[] = "$NetBSD: s_atanf.c,v 1.4 1995/05/10 20:46:47 jtc Exp $";
#endif
#include <float.h>
#include <math.h>
#include <math_private.h>
@ -66,6 +67,11 @@ float __atanf(float x)
else return -atanhi[3]-atanlo[3];
} if (ix < 0x3ee00000) { /* |x| < 0.4375 */
if (ix < 0x31000000) { /* |x| < 2^-29 */
if (fabsf (x) < FLT_MIN)
{
float force_underflow = x * x;
math_force_eval (force_underflow);
}
if(huge+x>one) return x; /* raise inexact */
}
id = -1;

7
sysdeps/ieee754/ldbl-128/s_atanl.c
View File

@ -59,6 +59,8 @@
<http://www.gnu.org/licenses/>. */
#include <float.h>
#include <math.h>
#include <math_private.h>
/* arctan(k/8), k = 0, ..., 82 */
@ -200,6 +202,11 @@ __atanl (long double x)
if (k <= 0x3fc50000) /* |x| < 2**-58 */
{
if (fabsl (x) < LDBL_MIN)
{
long double force_underflow = x * x;
math_force_eval (force_underflow);
}
/* Raise inexact. */
if (huge + x > 0.0)
return x;

6
sysdeps/ieee754/ldbl-128ibm/s_atanl.c
View File

@ -59,6 +59,7 @@
<http://www.gnu.org/licenses/>. */
#include <float.h>
#include <math.h>
#include <math_private.h>
#include <math_ldbl_opt.h>
@ -198,6 +199,11 @@ __atanl (long double x)
if (k <= 0x3c800000) /* |x| <= 2**-55. */
{
if (fabsl (x) < LDBL_MIN)
{
long double force_underflow = x * x;
math_force_eval (force_underflow);
}
/* Raise inexact. */
if (1e300L + x > 0.0)
return x;

12
sysdeps/x86/fpu/bits/mathinline.h
View File

@ -965,12 +965,12 @@ __NTH (__finite (double __x))
/* This code is used internally in the GNU libc. */
# ifdef __LIBC_INTERNAL_MATH_INLINES
__inline_mathop (__ieee754_sqrt, "fsqrt")
__inline_mathcode2 (__ieee754_atan2, __y, __x,
register long double __value;
__asm __volatile__ ("fpatan\n\t"
: "=t" (__value)
: "0" (__x), "u" (__y) : "st(1)");
return __value;)
__inline_mathcode2_ (long double, __ieee754_atan2l, __y, __x,
register long double __value;
__asm __volatile__ ("fpatan\n\t"
: "=t" (__value)
: "0" (__x), "u" (__y) : "st(1)");
return __value;)
# endif
#endif /* !__SSE2_MATH__ && !__x86_64__ */

1
sysdeps/x86_64/fpu/multiarch/e_atan2.c
View File

@ -1,5 +1,6 @@
#if defined HAVE_FMA4_SUPPORT || defined HAVE_AVX_SUPPORT
# include <init-arch.h>
# include <math.h>
# include <math_private.h>
extern double __ieee754_atan2_sse2 (double, double);