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Fix atan / atan2 missing underflows (bug 15319).
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
parent
9ee16d8b34
commit
4629c866ad
52
ChangeLog
52
ChangeLog
@ -1,3 +1,55 @@
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2015-02-18 Joseph Myers <joseph@codesourcery.com>
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[BZ #15319]
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* sysdeps/i386/fpu/e_atan2.S (dbl_min): New object.
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(MO): New macro.
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(__ieee754_atan2): For results with small absolute value, force
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underflow exception and remove excess range and precision from
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return value.
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* sysdeps/i386/fpu/e_atan2f.S (flt_min): New object.
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(MO): New macro.
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(__ieee754_atan2f): For results with small absolute value, force
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underflow exception and remove excess range and precision from
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return value.
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* sysdeps/i386/fpu/s_atan.S (dbl_min): New object.
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(MO): New macro.
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(__atan): For results with small absolute value, force underflow
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exception and remove excess range and precision from return value.
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* sysdeps/i386/fpu/s_atanf.S (flt_min): New object.
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(MO): New macro.
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(__atanf): For results with small absolute value, force underflow
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exception and remove excess range and precision from return value.
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* sysdeps/ieee754/dbl-64/e_atan2.c: Include <float.h> and
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<math.h>.
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(__ieee754_atan2): Force underflow exception for results with
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small absolute value.
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* sysdeps/ieee754/dbl-64/s_atan.c: Include <float.h> and
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<math_private.h>.
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(atan): Force underflow exception for results with small absolute
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value.
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* sysdeps/ieee754/flt-32/s_atanf.c: Include <float.h>.
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(__atanf): Force underflow exception for results with small
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absolute value.
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* sysdeps/ieee754/ldbl-128/s_atanl.c: Include <float.h> and
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<math.h>.
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(__atanl): Force underflow exception for results with small
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absolute value.
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* sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Include <float.h>.
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(__atanl): Force underflow exception for results with small
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absolute value.
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* sysdeps/x86/fpu/bits/mathinline.h
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[!__SSE2_MATH__ && !__x86_64__ && __LIBC_INTERNAL_MATH_INLINES]
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(__ieee754_atan2): Only define inline for long double.
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* sysdeps/x86_64/fpu/multiarch/e_atan2.c
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[HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Include <math.h>.
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* math/auto-libm-test-in: Do not mark underflow exceptions as
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possibly missing for bug 15319. Add more tests of atan2.
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* math/auto-libm-test-out: Regenerated.
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* math/libm-test.inc (casin_test_data): Do not mark underflow
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exceptions as possibly missing for bug 15319.
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(casinh_test_data): Likewise.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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2015-02-18 Steve Ellcey <sellcey@imgtec.com>
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* sysdeps/unix/sysv/linux/mips/bits/endian.h: Remove.
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4
NEWS
4
NEWS
@ -9,8 +9,8 @@ Version 2.22
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* The following bugs are resolved with this release:
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4719, 15467, 15790, 16560, 17569, 17792, 17912, 17932, 17944, 17949,
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17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996.
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4719, 15319, 15467, 15790, 16560, 17569, 17792, 17912, 17932, 17944,
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17949, 17964, 17965, 17967, 17969, 17978, 17987, 17991, 17996.
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Version 2.21
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@ -93,14 +93,13 @@ atan 0x1p-5
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atan 2.5
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atan 10
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atan 1e6
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# Bug 15319: underflow exception may be missing.
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atan 0x1p-100 missing-underflow
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atan 0x1p-600 missing-underflow
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atan 0x1p-10000 missing-underflow
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atan min missing-underflow
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atan -min missing-underflow
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atan min_subnorm missing-underflow
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atan -min_subnorm missing-underflow
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atan 0x1p-100
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atan 0x1p-600
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atan 0x1p-10000
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atan min
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atan -min
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atan min_subnorm
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atan -min_subnorm
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# atan2 (0,x) == 0 for x > 0.
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atan2 0 1
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@ -156,13 +155,20 @@ atan2 min -max
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atan2 -min -max
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atan2 min_subnorm -max
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atan2 -min_subnorm -max
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# Bug 15319: underflow exception may be missing.
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atan2 1 max missing-underflow
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atan2 -1 max missing-underflow
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atan2 min max missing-underflow
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atan2 -min max missing-underflow
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atan2 min_subnorm max missing-underflow
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atan2 -min_subnorm max missing-underflow
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atan2 1 max
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atan2 -1 max
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atan2 min max
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atan2 -min max
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atan2 min_subnorm max
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atan2 -min_subnorm max
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atan2 min 1
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atan2 -min 1
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atan2 min_subnorm 1
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atan2 -min_subnorm 1
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atan2 min -1
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atan2 -min -1
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atan2 min_subnorm -1
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atan2 -min_subnorm -1
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atanh 0
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atanh -0
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File diff suppressed because it is too large
Load Diff
@ -3743,11 +3743,10 @@ static const struct test_c_c_data casin_test_data[] =
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TEST_c_c (casin, 0x1p-23L, -0x1p-23L, 1.192092895507806853113684971258850504935e-7L, -1.192092895507818146886315028596704749235e-7L),
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TEST_c_c (casin, -0x1p-23L, 0x1p-23L, -1.192092895507806853113684971258850504935e-7L, 1.192092895507818146886315028596704749235e-7L),
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TEST_c_c (casin, -0x1p-23L, -0x1p-23L, -1.192092895507806853113684971258850504935e-7L, -1.192092895507818146886315028596704749235e-7L),
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/* Bug 15319: underflow exception may be missing. */
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TEST_c_c (casin, 0x1.fp-129L, 0x1p-23L, 2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
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TEST_c_c (casin, 0x1.fp-129L, -0x1p-23L, 2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
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TEST_c_c (casin, -0x1.fp-129L, 0x1p-23L, -2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
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TEST_c_c (casin, -0x1.fp-129L, -0x1p-23L, -2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_OK_FLOAT),
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TEST_c_c (casin, 0x1.fp-129L, 0x1p-23L, 2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
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TEST_c_c (casin, 0x1.fp-129L, -0x1p-23L, 2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
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TEST_c_c (casin, -0x1.fp-129L, 0x1p-23L, -2.846900380897707329917933005874691056564e-39L, 1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
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TEST_c_c (casin, -0x1.fp-129L, -0x1p-23L, -2.846900380897707329917933005874691056564e-39L, -1.192092895507809676556842485683592032154e-7L, UNDERFLOW_EXCEPTION_FLOAT),
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TEST_c_c (casin, 0x1p-23L, 0x1.fp-129L, 1.192092895507815323443157514352519154304e-7L, 2.846900380897747786805634596726756660388e-39L, UNDERFLOW_EXCEPTION_FLOAT),
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TEST_c_c (casin, -0x1p-23L, 0x1.fp-129L, -1.192092895507815323443157514352519154304e-7L, 2.846900380897747786805634596726756660388e-39L, UNDERFLOW_EXCEPTION_FLOAT),
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TEST_c_c (casin, 0x1p-23L, -0x1.fp-129L, 1.192092895507815323443157514352519154304e-7L, -2.846900380897747786805634596726756660388e-39L, UNDERFLOW_EXCEPTION_FLOAT),
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@ -3813,11 +3812,10 @@ static const struct test_c_c_data casin_test_data[] =
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TEST_c_c (casin, -0x1p-52L, 0x1p-52L, -2.220446049250313080847263336181604132852e-16L, 2.220446049250313080847263336181677117148e-16L),
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TEST_c_c (casin, -0x1p-52L, -0x1p-52L, -2.220446049250313080847263336181604132852e-16L, -2.220446049250313080847263336181677117148e-16L),
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#ifndef TEST_FLOAT
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/* Bug 15319: underflow exception may be missing. */
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TEST_c_c (casin, 0x1.fp-1025L, 0x1p-52L, 5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
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TEST_c_c (casin, 0x1.fp-1025L, -0x1p-52L, 5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
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TEST_c_c (casin, -0x1.fp-1025L, 0x1p-52L, -5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
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TEST_c_c (casin, -0x1.fp-1025L, -0x1p-52L, -5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
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TEST_c_c (casin, 0x1.fp-1025L, 0x1p-52L, 5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
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TEST_c_c (casin, 0x1.fp-1025L, -0x1p-52L, 5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
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TEST_c_c (casin, -0x1.fp-1025L, 0x1p-52L, -5.388850751072128349671657362289283247603e-309L, 2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
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TEST_c_c (casin, -0x1.fp-1025L, -0x1p-52L, -5.388850751072128349671657362289283247603e-309L, -2.220446049250313080847263336181622378926e-16L, UNDERFLOW_EXCEPTION_DOUBLE),
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TEST_c_c (casin, 0x1p-52L, 0x1.fp-1025L, 2.220446049250313080847263336181658871074e-16L, 5.388850751072128349671657362289548938458e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
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TEST_c_c (casin, -0x1p-52L, 0x1.fp-1025L, -2.220446049250313080847263336181658871074e-16L, 5.388850751072128349671657362289548938458e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
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TEST_c_c (casin, 0x1p-52L, -0x1.fp-1025L, 2.220446049250313080847263336181658871074e-16L, -5.388850751072128349671657362289548938458e-309L, UNDERFLOW_EXCEPTION_DOUBLE),
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@ -3888,11 +3886,10 @@ static const struct test_c_c_data casin_test_data[] =
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TEST_c_c (casin, -0x1p-63L, 0x1p-63L, -1.084202172485504434007452800869941711422e-19L, 1.084202172485504434007452800869941711430e-19L),
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TEST_c_c (casin, -0x1p-63L, -0x1p-63L, -1.084202172485504434007452800869941711422e-19L, -1.084202172485504434007452800869941711430e-19L),
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#if defined TEST_LDOUBLE && LDBL_MIN_EXP <= -16381
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/* Bug 15319: underflow exception may be missing. */
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TEST_c_c (casin, 0x1.fp-16385L, 0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
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TEST_c_c (casin, 0x1.fp-16385L, -0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
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TEST_c_c (casin, -0x1.fp-16385L, 0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
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TEST_c_c (casin, -0x1.fp-16385L, -0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION_OK),
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TEST_c_c (casin, 0x1.fp-16385L, 0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
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TEST_c_c (casin, 0x1.fp-16385L, -0x1p-63L, 8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
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TEST_c_c (casin, -0x1.fp-16385L, 0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, 1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
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TEST_c_c (casin, -0x1.fp-16385L, -0x1p-63L, -8.142593549724601460479922838826119584369e-4933L, -1.084202172485504434007452800869941711424e-19L, UNDERFLOW_EXCEPTION),
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TEST_c_c (casin, 0x1p-63L, 0x1.fp-16385L, 1.084202172485504434007452800869941711428e-19L, 8.142593549724601460479922838826119584465e-4933L, UNDERFLOW_EXCEPTION),
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TEST_c_c (casin, -0x1p-63L, 0x1.fp-16385L, -1.084202172485504434007452800869941711428e-19L, 8.142593549724601460479922838826119584465e-4933L, UNDERFLOW_EXCEPTION),
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TEST_c_c (casin, 0x1p-63L, -0x1.fp-16385L, 1.084202172485504434007452800869941711428e-19L, -8.142593549724601460479922838826119584465e-4933L, UNDERFLOW_EXCEPTION),
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@ -3951,11 +3948,10 @@ static const struct test_c_c_data casin_test_data[] =
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TEST_c_c (casin, -0x1p-105L, 0x1p-105L, -2.465190328815661891911651766508706967729e-32L, 2.465190328815661891911651766508706967729e-32L),
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TEST_c_c (casin, -0x1p-105L, -0x1p-105L, -2.465190328815661891911651766508706967729e-32L, -2.465190328815661891911651766508706967729e-32L),
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#ifndef TEST_FLOAT
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/* Bug 15319: underflow exception may be missing. */
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TEST_c_c (casin, 0x1.fp-1025L, 0x1p-105L, 5.388850751072128349671657362289416093031e-309L, 2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
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TEST_c_c (casin, 0x1.fp-1025L, -0x1p-105L, 5.388850751072128349671657362289416093031e-309L, -2.465190328815661891911651766508706967729e-32L, UNDERFLOW_EXCEPTION_OK_DOUBLE),
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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),
|
||||
|
||||
@ -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 $8, %esp
|
||||
cfi_adjust_cfa_offset (-8)
|
||||
1: ret
|
||||
END (__ieee754_atan2)
|
||||
strong_alias (__ieee754_atan2, __atan2_finite)
|
||||
|
||||
@ -7,10 +7,43 @@
|
||||
|
||||
RCSID("$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 $4, %esp
|
||||
cfi_adjust_cfa_offset (-4)
|
||||
1: ret
|
||||
END (__ieee754_atan2f)
|
||||
strong_alias (__ieee754_atan2f, __atan2f_finite)
|
||||
|
||||
@ -324,10 +324,10 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Real part of "casin_downward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
@ -357,9 +357,9 @@ ldouble: 5
|
||||
|
||||
Function: Real part of "casin_upward":
|
||||
double: 2
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
@ -396,10 +396,10 @@ ildouble: 5
|
||||
ldouble: 5
|
||||
|
||||
Function: Imaginary part of "casinh_downward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
@ -429,9 +429,9 @@ ldouble: 5
|
||||
|
||||
Function: Imaginary part of "casinh_upward":
|
||||
double: 2
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
|
||||
@ -7,10 +7,41 @@
|
||||
|
||||
RCSID("$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 $8, %esp
|
||||
cfi_adjust_cfa_offset (-8)
|
||||
1: ret
|
||||
END (__atan)
|
||||
weak_alias (__atan, atan)
|
||||
|
||||
@ -7,10 +7,41 @@
|
||||
|
||||
RCSID("$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 $4, %esp
|
||||
cfi_adjust_cfa_offset (-4)
|
||||
1: ret
|
||||
END (__atanf)
|
||||
weak_alias (__atanf, atanf)
|
||||
|
||||
@ -41,6 +41,8 @@
|
||||
#include "MathLib.h"
|
||||
#include "uatan.tbl"
|
||||
#include "atnat2.h"
|
||||
#include <float.h>
|
||||
#include <math.h>
|
||||
#include <math_private.h>
|
||||
#include <stap-probe.h>
|
||||
|
||||
@ -202,10 +204,18 @@ __ieee754_atan2 (double y, double x)
|
||||
{
|
||||
if (x > 0)
|
||||
{
|
||||
double ret;
|
||||
if ((z = ay / ax) < TWOM1022)
|
||||
return normalized (ax, ay, y, z);
|
||||
ret = normalized (ax, ay, y, z);
|
||||
else
|
||||
return signArctan2 (y, z);
|
||||
ret = signArctan2 (y, z);
|
||||
if (fabs (ret) < DBL_MIN)
|
||||
{
|
||||
double vret = ret ? ret : DBL_MIN;
|
||||
double force_underflow = vret * vret;
|
||||
math_force_eval (force_underflow);
|
||||
}
|
||||
return ret;
|
||||
}
|
||||
else
|
||||
{
|
||||
|
||||
@ -41,7 +41,9 @@
|
||||
#include "MathLib.h"
|
||||
#include "uatan.tbl"
|
||||
#include "atnat.h"
|
||||
#include <float.h>
|
||||
#include <math.h>
|
||||
#include <math_private.h>
|
||||
#include <stap-probe.h>
|
||||
|
||||
void __mpatan (mp_no *, mp_no *, int); /* see definition in mpatan.c */
|
||||
@ -85,7 +87,14 @@ atan (double x)
|
||||
if (u < B)
|
||||
{
|
||||
if (u < A)
|
||||
return x;
|
||||
{
|
||||
if (u < DBL_MIN)
|
||||
{
|
||||
double force_underflow = x * x;
|
||||
math_force_eval (force_underflow);
|
||||
}
|
||||
return x;
|
||||
}
|
||||
else
|
||||
{ /* A <= u < B */
|
||||
v = x * x;
|
||||
|
||||
@ -17,6 +17,7 @@
|
||||
static char rcsid[] = "$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;
|
||||
|
||||
@ -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;
|
||||
|
||||
@ -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;
|
||||
|
||||
@ -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__ */
|
||||
|
||||
@ -1,5 +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);
|
||||
|
||||
Loading…
Reference in New Issue
Block a user