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* Fix ldbl-128ibm acoshl inaccuracy (bug 18019).Joseph Myers2015-02-251-2/+2
| | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of acoshl uses a cut-off of 0x1p28 to determine when to use log(x) + log(2) as a formula. That cut-off is too small for this format, resulting in large errors. This patch changes it to a more appropriate cut-off of 0x1p56, adding tests around the cut-offs for various floating-point formats. Tested for powerpc. Also tested for x86_64 and x86 and updated ulps. [BZ #18019] * sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (__ieee754_acoshl): Use 2**56 not 2**28 as threshold for log (2x) formula. * math/auto-libm-test-in: Add more tests of acosh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix atan / atan2 missing underflows (bug 15319).Joseph Myers2015-02-181-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix sign of remquo zero remainder in round-downward mode (bug 17987).Joseph Myers2015-02-171-0/+3
| | | | | | | | | | | | | | | | | | | | | | Various remquo implementations produce a zero remainder with the wrong sign (a zero remainder should always have the sign of the first argument, as specified in IEEE 754) in round-downward mode, resulting from the sign of 0 - 0. This patch checks for zero results and fixes their sign accordingly. Tested for x86_64, x86, mips64 and powerpc. [BZ #17987] * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Ensure sign of zero result does not depend on the sign resulting from subtraction. * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * math/libm-test.inc (remquo_test_data): Add more tests.
* Fix remquo spurious overflows (bug 17978).Joseph Myers2015-02-161-2/+2
| | | | | | | | | | | | | | | | | | | | | | | Various remquo implementations, when computing the last three bits of the quotient, have spurious overflows when 4 times the second argument to remquo overflows. These overflows can in turn cause bad results in rounding modes where that overflow results in a finite value. This patch adds tests to avoid the problem multiplications in cases where they would overflow, similar to those that control an earlier multiplication by 8. Tested for x86_64, x86, mips64 and powerpc. [BZ #17978] * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Do not form products 4 * y and 2 * y where those would overflow. * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * math/libm-test.inc (remquo_test_data): Add more tests.
* Fix sincos errno setting (bug 15467).Joseph Myers2015-02-111-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | This patch makes sincos set errno to EDOM when passed an infinity, similarly to sin and cos. Tested for x86_64, x86, powerpc and mips64. I don't know if the architecture-specific implementations for ia64 and m68k might need corresponding fixes. 2015-02-11 Joseph Myers <joseph@codesourcery.com> [BZ #15467] * sysdeps/ieee754/dbl-64/s_sincos.c: Include <errno.h>. (__sincos): Set errno to EDOM for infinite argument. * sysdeps/ieee754/flt-32/s_sincosf.c: Include <errno.h>. (SINCOSF_FUNC): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-128/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-128ibm/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-96/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * math/libm-test.inc (sincos_test_data): Test errno setting.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2015-01-0236-36/+36
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* Clean up powerpc fegetround / __fegetround inlines.Joseph Myers2014-12-315-8/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The natural fix for some linknamespace test failures, where C90 libm functions call C99 <fenv.h> functions, is to make fe* into weak aliases for __fe* and call __fe* from within libm as needed. To do this, the __fe* names need to be available for that purpose - that is, they must not be used for something other than aliases of fe*. On powerpc, however, __fegetround is an inline function in fenv_libc.h, with no corresponding fegetround inline function; fegetround has an equivalent macro expansion in bits/fenvinline.h, but that is disabled if __NO_MATH_INLINES (which is defined for building libm). I see no need for that disabling; it's not even clear that __NO_MATH_INLINES should affect <fenv.h>, and the results of fegetround are completely defined so there is no semantic effect of that disabling at all outside glibc. The x86 inline feraiseexcept is conditioned on __USE_EXTERN_INLINES not __NO_MATH_INLINES (but that's an inline function rather than a macro). This patch removes the __NO_MATH_INLINES conditional on that fegetround macro, so resulting in it being expanded inline inside glibc. In turn, this means that direct calls to __fegetround from C99 functions in ldbl-128ibm can be changed to calls to fegetround, so that nofpu fenv_libc.h files don't need to define __fegetround at all and, by changing ldbl-128ibm files to use <fenv.h> not <fenv_libc.h>, non-e500 nofpu no longer needs an fenv_libc.h file. The other macros in fenvinline.h are left conditional on __NO_MATH_INLINES, although since the only case where this should make a difference is one involving undefined behavior (if the argument to the function is not a valid exception macro). The out-of-line definition for fegetround uses __fegetround (the inline function removed by this patch). So this continues to work, the fenvinline.h header is made to define __fegetround, and then to define fegetround to call __fegetround. Tested for powerpc32 (hard float) that installed stripped shared libraries are unchanged by this patch; also tested that powerpc-nofpu build still works. (This patch does not itself fix any bugs; it simply cleans things up in preparation for separate bug fixes.) * sysdeps/powerpc/bits/fenvinline.h (fegetround): Rename macro to __fegetround and redefine to call __fegetround. Remove condition on [!__NO_MATH_INLINES]. * sysdeps/powerpc/fpu/fenv_libc.h (__fegetround): Remove inline function. * sysdeps/powerpc/nofpu/fenv_libc.h: Remove file. * sysdeps/powerpc/powerpc32/e500/nofpu/fenv_libc.h (__fegetround): Remove macro. * sysdeps/ieee754/ldbl-128ibm/s_llrintl.c: Include <fenv.h> instead of <fenv_libc.h>. (__llrintl): Call fegetround instead of __fegetround. * sysdeps/ieee754/ldbl-128ibm/s_llroundl.c: Include <fenv.h> instead of <fenv_libc.h>. * sysdeps/ieee754/ldbl-128ibm/s_lrintl.c: Likewise. (__lrintl): Call fegetround instead of __fegetround. * sysdeps/ieee754/ldbl-128ibm/s_lroundl.c: Include <fenv.h> instead of <fenv_libc.h>. * sysdeps/ieee754/ldbl-128ibm/s_rintl.c: Likewise. (__rintl): Call fegetround instead of __fegetround.
* FIx ldbl-128ibm frexpl for 32-bit systems (bug 16619, bug 16740).Joseph Myers2014-11-261-2/+2
| | | | | | | | | | | | | | | | | | | | | | This patch fixes bugs in ldbl-128ibm frexpl for 32-bit systems shown up by warnings: ../sysdeps/ieee754/ldbl-128ibm/s_frexpl.c:82:4: warning: left shift count >= width of type ../sysdeps/ieee754/ldbl-128ibm/s_frexpl.c:129:5: warning: left shift count >= width of type This did in fact show up in test-ldouble.out (alongside all the other problems there ... maybe we should again consider running the libm tests at finer granularity from the makefiles) as already covered by the testsuite after the previous patch that fixed these bugs for 64-bit systems. The fix is simply using 1LL instead of 1L when shifting by 52. Tested for powerpc32 (soft float). [BZ #16619] [BZ #16740] * sysdeps/ieee754/ldbl-128ibm/s_frexpl.c (__frexpl): Use 1LL << 52 instead of 1L << 52.
* Remove IS_IN_libmSiddhesh Poyarekar2014-11-249-9/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Replace with IS_IN (libm). Generated code unchanged on x86_64. * include/math.h: Use IS_IN instead of IS_IN_libm. * sysdeps/alpha/fpu/s_copysign.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_copysignl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_finitel.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_frexpl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_isinfl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_isnanl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_modfl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_signbitl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_copysignl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_finitel.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_frexpl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_isinfl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_isnanl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_modfl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_scalbnl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_signbitl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/w_scalblnl.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_copysign.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_finite.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_frexp.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_isinf.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_isnan.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_ldexp.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_ldexpl.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_modf.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_scalbln.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_scalbn.c: Likewise. * sysdeps/powerpc/power5+/fpu/s_modf.c: Likewise. * sysdeps/powerpc/powerpc32/fpu/s_copysign.S: Likewise. * sysdeps/powerpc/powerpc32/fpu/s_copysignl.S: Likewise. * sysdeps/powerpc/powerpc32/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_copysign.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_finite.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_isinf.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_isnan.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_modf.c: Likewise. * sysdeps/powerpc/powerpc32/power5/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc32/power6/fpu/s_copysign.S: Likewise. * sysdeps/powerpc/powerpc32/power6/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc32/power7/fpu/s_finite.S: Likewise. * sysdeps/powerpc/powerpc32/power7/fpu/s_isinf.S: Likewise. * sysdeps/powerpc/powerpc32/power7/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_copysign.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_finite.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_isinf.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_isnan.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_modf.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/s_copysign.S: Likewise. * sysdeps/powerpc/powerpc64/fpu/s_copysignl.S: Likewise. * sysdeps/powerpc/powerpc64/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc64/power5/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc64/power6/fpu/s_copysign.S: Likewise. * sysdeps/powerpc/powerpc64/power6/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc64/power6x/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc64/power7/fpu/s_finite.S: Likewise. * sysdeps/powerpc/powerpc64/power7/fpu/s_isinf.S: Likewise. * sysdeps/powerpc/powerpc64/power7/fpu/s_isnan.S: Likewise. * sysdeps/powerpc/powerpc64/power8/fpu/s_finite.S: Likewise. * sysdeps/powerpc/powerpc64/power8/fpu/s_isinf.S: Likewise. * sysdeps/powerpc/powerpc64/power8/fpu/s_isnan.S: Likewise. * sysdeps/sparc/sparc32/fpu/s_signbitl.S: Likewise. * sysdeps/sparc/sparc32/sparcv9/fpu/s_isnan.S: Likewise. * sysdeps/unix/sysv/linux/alpha/fraiseexcpt.S: Likewise.
* Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562).Joseph Myers2014-06-271-66/+77
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bugs 16561 and 16562, bad results of yn in overflow cases in non-default rounding modes, both because an intermediate overflow in the recurrence does not get detected if the result is not an infinity and because an overflowing result may occur in the wrong sign. The fix is to set FE_TONEAREST mode internally for the parts of the function where such overflows can occur (which includes the call to y1 - where yn is used to compute a Bessel function of order -1, negating the result of y1 isn't correct for overflowing results in directed rounding modes) and then compute an overflowing value in the original rounding mode if the to-nearest result was an infinity. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 and powerpc32 to test the ldbl-128 and ldbl-128ibm changes. (The tests for these bugs were added in my previous y1 patch, so the only thing this patch has to do with the testsuite is enable yn testing in all rounding modes.) [BZ #16561] [BZ #16562] * sysdeps/ieee754/dbl-64/e_jn.c: Include <float.h>. (__ieee754_yn): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/flt-32/e_jnf.c: Include <float.h>. (__ieee754_ynf): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-128/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-96/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/i386/fpu/fenv_private.h [!__SSE2_MATH__] (libc_feholdsetround_ctx): New macro. * math/libm-test.inc (yn_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps : Likewise.
* Fix exp10 spurious underflows (bug 16560).Joseph Myers2014-06-251-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes spurious underflows from exp10 for arguments near 0 (part of bug 16560; that bug also includes spurious underflows from exp2, which are not fixed by this patch). The problem is underflows in the internal computation converting the exp10 argument to arguments for exp (with extra precision), and the fix is simply to return 1 early for arguments near enough to 0 (just as arguments with large enough magnitude have their own overflow / underflow logic at the start of the function). Tested x86_64 and x86 and ulps updated accordingly; also tested for powerpc32 and mips64 to validate the ldbl-128ibm and ldbl-128 changes. [BZ #16560] * sysdeps/ieee754/dbl-64/e_exp10.c (__ieee754_exp10): Return 1 for arguments close to 0. * sysdeps/ieee754/ldbl-128/e_exp10l.c (__ieee754_exp10l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_exp10l.c (__ieee754_exp10l): Likewise. * math/auto-libm-test-in: Add more tests of exp10. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix cosh spurious underflows from expm1 (bug 16354), inaccurate results near ↵Joseph Myers2014-06-231-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 (bug 17061). This patch fixes bug 16354, spurious underflows from cosh when a tiny argument is passed to expm1 and expm1 correctly underflows although the final result of cosh should be 1. As noted in that bug, some cases are latent because of expm1 implementations not raising underflow (bug 16353), but all the implementations are fixed similarly. They already contained checks for tiny arguments, but the checks were too late to avoid underflow from expm1 (although they would avoid underflow from subsequent squaring of the result of expm1); they are moved before the expm1 calls. The thresholds used for considering arguments tiny are not particularly consistent in how they relate to the precision of the floating-point format in question. They are, however, all sufficient to ensure that the round-to-nearest result of cosh is indeed 1 below the threshold (although sometimes they are smaller than necessary). But the previous logic did not return 1, but the previously computed 1 + expm1(abs(x)) value. And the thresholds in the ldbl-128 and ldbl-128ibm code (0x1p-71L - I suspect 0x3f8b was intended in the code instead of 0x3fb8 - and (roughly) 0x1p-55L) are not sufficient for that value to be 1. So by moving the test for tiny arguments, and consequently returning 1 directly now the expm1 value hasn't been computed by that point, this patch also fixes bug 17061, the (large number of ulps) inaccuracy for small arguments in those implementations. Tests for that bug are duly added. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 and powerpc32 to validate the ldbl-128 and ldbl-128ibm changes. [BZ #16354] [BZ #17061] * sysdeps/ieee754/dbl-64/e_cosh.c (__ieee754_cosh): Check for small arguments before calling __expm1. * sysdeps/ieee754/flt-32/e_coshf.c (__ieee754_coshf): Check for small arguments before calling __expm1f. * sysdeps/ieee754/ldbl-128/e_coshl.c (__ieee754_coshl): Check for small arguments before calling __expm1l. * sysdeps/ieee754/ldbl-128ibm/e_coshl.c (__ieee754_coshl): Likewise. * sysdeps/ieee754/ldbl-96/e_coshl.c (__ieee754_coshl): Likewise. * math/auto-libm-test-in: Add more cosh tests. Do not allow spurious underflow for some cosh tests. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* [BZ #6803] Set errno for scalbln, scalbnStefan Liebler2014-06-202-1/+23
| | | | | | | | | | | Errno is not set and the testcases will fail. Now the scalbln-aliases are removed in i386/m68 and the wrappers are used when calling the scalbln-functions. On ia64 only scalblnf has its own implementation. For scalbln and scalblnl the ieee754/dbl-64 and ieee754/ldbl-96 are used, thus the wrappers are needed, too.
* PowerPC: Fix nearbyintl failure for few inputsRajalakshmi Srinivasaraghavan2014-06-171-0/+5
| | | | | | | | This patch fixes few failures in nearbyintl() where the fraction part is close to 0.5.i The new tests added report few extra failures in nearbyint_downward and nearbyint_towardzero which is a known issue. Fixes #17031.
* Fix log2 (1) in round-downward mode (bug 17042).Joseph Myers2014-06-101-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | As with other issues of this kind, bug 17042 is log2 (1) wrongly returning -0 instead of +0 in round-downward mode because of implementations effectively in terms of log1p (x - 1). This patch fixes the issue in the same way used for log and log10. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 to confirm a fix was needed for ldbl-128 and to validate that fix (also applied to ldbl-128ibm since that version of log2l is essentially the same as the ldbl-128 one). [BZ #17042] * sysdeps/i386/fpu/e_log2.S (__ieee754_log2): Take absolete value when x - 1 is zero. * sysdeps/i386/fpu/e_log2f.S (__ieee754_log2f): Likewise. * sysdeps/i386/fpu/e_log2l.S (__ieee754_log2l): Likewise. * sysdeps/ieee754/ldbl-128/e_log2l.c (__ieee754_log2l): Return 0.0L for an argument of 1.0L. * sysdeps/ieee754/ldbl-128ibm/e_log2l.c (__ieee754_log2l): Likewise. * sysdeps/x86_64/fpu/e_log2l.S (__ieee754_log2l): Take absolute value when x - 1 is zero. * math/libm-test.inc (log2_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log10 (1) in round-downward mode (bug 16977).Joseph Myers2014-05-231-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | As with various other issues of this kind, bug 16977 is log10 (1) wrongly returning -0 rather than +0 in round-downward mode because of an implementation effectively in terms of log1p (x - 1). This patch fixes the issue in the same way used for log. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 to confirm a fix was needed for ldbl-128 and to validate that fix (also applied to ldbl-128ibm since that version of logl is essentially the same as the ldbl-128 one). [BZ #16977] * sysdeps/i386/fpu/e_log10.S (__ieee754_log10): Take absolute value when x - 1 is zero. * sysdeps/i386/fpu/e_log10f.S (__ieee754_log10f): Likewise. * sysdeps/i386/fpu/e_log10l.S (__ieee754_log10l): Likewise. * sysdeps/ieee754/ldbl-128/e_log10l.c (__ieee754_log10l): Return 0.0L for an argument of 1.0L. * sysdeps/ieee754/ldbl-128ibm/e_log10l.c (__ieee754_log10l): Likewise. * sysdeps/x86_64/fpu/e_log10l.S (__ieee754_log10l): Take absolute value when x - 1 is zero. * math/libm-test.inc (log10_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log1pl (LDBL_MAX) in FE_UPWARD mode (bug 16564).Joseph Myers2014-05-141-1/+4
| | | | | | | | | | | | | | | | | | | | | | | Bug 16564 is spurious overflow of log1pl (LDBL_MAX) in FE_UPWARD mode, resulting from log1pl adding 1 to its argument (for arguments not close to 0), which overflows in that mode. This patch fixes this by avoiding adding 1 to large arguments (precisely what counts as large depends on the floating-point format). Tested x86_64 and x86, and spot-checked log1pl tests on mips64 and powerpc64. [BZ #16564] * sysdeps/i386/fpu/s_log1pl.S (__log1pl): Do not add 1 to positive arguments with exponent 65 or above. * sysdeps/ieee754/ldbl-128/s_log1pl.c (__log1pl): Do not add 1 to arguments 0x1p113L or above. * sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (__log1pl): Do not add 1 to arguments 0x1p107L or above. * sysdeps/x86_64/fpu/s_log1pl.S (__log1pl): Do not add 1 to positive arguments with exponent 65 or above. * math/auto-libm-test-in: Add more tests of log1p. * math/auto-libm-test-out: Regenerated.
* Fix erf underflow handling near 0 (bug 16516).Joseph Myers2014-05-141-5/+11
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Bug 16516 reports spurious underflows from erf (for all floating-point types), when the result is close to underflowing but does not actually underflow. erf (x) is about (2/sqrt(pi))*x for x close to 0, so there are subnormal arguments for which it does not underflow. The various implementations do (x + efx*x) (for efx = 2/sqrt(pi) - 1), for greater accuracy than if just using a single multiplication by an approximation to 2/sqrt(pi) (effectively, this way there are a few more bits in the approximation to 2/sqrt(pi)). This can introduce underflows when efx*x underflows even though the final result does not, so a scaled calculation with 8*efx is done in these cases - but 8 is not a big enough scale factor to avoid all such underflows. 16 is (any underflows with a scale factor of 16 would only occur when the final result underflows), so this patch changes the code to use that factor. Rather than recomputing all the values of the efx8 variable, it is removed, leaving it to the compiler's constant folding to compute 16*efx. As such scaling can also lose underflows when the final scaling down happens to be exact, appropriate checks are added to ensure underflow exceptions occur when required in such cases. Tested x86_64 and x86; no ulps updates needed. Also spot-checked for powerpc32 and mips64 to verify the changes to the ldbl-128ibm and ldbl-128 implementations. [BZ #16516] * sysdeps/ieee754/dbl-64/s_erf.c (efx8): Remove variable. (__erf): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/flt-32/s_erff.c (efx8): Remove variable. (__erff): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/ldbl-128/s_erfl.c: Include <float.h>. (efx8): Remove variable. (__erfl): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c: Include <float.h>. (efx8): Remove variable. (__erfl): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/ldbl-96/s_erfl.c: Include <float.h>. (efx8): Remove variable. (__erfl): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * math/auto-libm-test-in: Add more tests of erf. * math/auto-libm-test-out: Regenerated.
* Correct IBM long double frexpl.Alan Modra2014-04-161-44/+102
| | | | | | | | | | | Besides fixing the bugzilla, this also fixes corner-cases where the high and low double differ greatly in magnitude, and handles a denormal input without resorting to a fp rescale. [BZ #16740] [BZ #16619] * sysdeps/ieee754/ldbl-128ibm/s_frexpl.c (__frexpl): Rewrite. * math/libm-test.inc (frexp_test_data): Add tests.
* Correct IBM long double nextafterl.Alan Modra2014-04-021-16/+33
| | | | | | | | | | | | Fix for values near a power of two, and some tidies. [BZ #16739] * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c (__nextafterl): Correct output when value is near a power of two. Use int64_t for lx and remove casts. Use decimal rather than hex exponent constants. Don't use long double multiplication when double will suffice. * math/libm-test.inc (nextafter_test_data): Add tests. * NEWS: Add 16739 and 16786 to bug list.
* Fix nextafter overflow in non-default rounding modes (bug 16677).Joseph Myers2014-03-111-4/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ISO C requires the result of nextafter to be independent of the rounding mode, even when underflow or overflow occurs. This patch fixes the bug in various nextafter implementations that, having done an overflowing computation to force an overflow exception (correct), they then return the result of that computation rather than an infinity computed some other way (incorrect, when the overflowing result of arithmetic with that sign and rounding mode is finite but the correct result is infinite) - generally by falling through to existing code to return a value that in fact is correct for this case (but was computed by an integer increment and so without generating the exceptions required). Having fixed the bug, the previously deferred conversion of nextafter testing in libm-test.inc to ALL_RM_TEST is also included. Tested x86_64 and x86; also spot-checked results of nextafter tests for powerpc32 and mips64 to test the ldbl-128ibm and ldbl-128 changes. (The m68k change is untested.) [BZ #16677] * math/s_nextafter.c (__nextafter): Do not return value from overflowing computation. * sysdeps/i386/fpu/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/ieee754/flt-32/s_nextafterf.c (__nextafterf): Likewise. * sysdeps/ieee754/ldbl-128/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c (__nextafterl): Likewise. * sysdeps/m68k/m680x0/fpu/s_nextafterl.c (__nextafterl): Likewise. * math/libm-test.inc (nextafter_test): Use ALL_RM_TEST.
* Use glibc_likely instead __builtin_expect.Ondřej Bílka2014-02-107-19/+19
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* PowerPC: remove wrong truncl implementation for PowerPC64Adhemerval Zanella2014-01-081-3/+0
| | | | | | | | | | | | | | | The truncl assembly implementation (sysdeps/powerpc/powerpc64/fpu/s_truncl.S) returns wrong results for some inputs where first double is a exact integer and the precision is determined by second long double. Checking on implementation comments and history, I am very confident the assembly implementation was based on a version before commit 5c68d401698a58cf7da150d9cce769fa6679ba5f that fixes BZ#2423 (Errors in long double (ldbl-128ibm) rounding functions in glibc-2.4). By just removing the implementation and make the build select sysdeps/ieee754/ldbl-128ibm/s_truncl.c instead it fixes tgammal issues regarding wrong result sign.
* Fix ldbl-128ibm expm1l on large arguments (bug 16408).Joseph Myers2014-01-081-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 16408, ldbl-128ibm expm1l returning NaN for some large arguments. The basic problem is that the approach of converting the exponent to the form n * log(2) + y, where -0.5 <= y <= 0.5, then computing 2^n * expm1(y) + (2^n - 1) falls over when 2^n overflows (starting slightly before the point where expm1 overflows, when y is negative and n is the least integer for which 2^n overflows). The ldbl-128 code, and the x86/x86_64 code, make expm1l fall back to expl for large positive arguments to avoid this issue. This patch makes the ldbl-128ibm code do the same. (The problem appears for the particular argument in the testsuite because the ldbl-128ibm code also uses an overflow threshold that's for ldbl-128 and is too big for ldbl-128ibm, but the problem described applies for large non-overflowing cases as well, although during the freeze is not a suitable time for making the expm1 tests cover cases close to overflow more thoroughly.) This leaves some code for large positive arguments in expm1l that is now dead. To keep the code for ldbl-128 and ldbl-128ibm similar, and to avoid unnecessary changes during the freeze, the patch doesn't remove it; instead I propose to file a bug in Bugzilla as a reminder that this code (for overflow, including errno setting, and for arguments of +Inf) is no longer needed and should be removed from both those expm1l implementations. Tested powerpc32. * sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (__expm1l): Use __expl for large positive arguments.
* Fix ldbl-128ibm coshl spurious overflows (bug 16407).Joseph Myers2014-01-071-1/+1
| | | | | | | | | | | | | | | | | | | | | This patch fixes bug 16407, spurious overflows from ldbl-128ibm coshl. The implementation assumed that a high part (reinterpreted as an integer) of the absolute value of the argument of 0x408633ce8fb9f87dLL or more meant overflow, but the actual threshold has high part 0x408633ce8fb9f87eLL (and a negative low part). The patch adjusts the threshold accordingly. sinhl probably has the same issue, but I didn't get that far in adding tests of special cases (such as just below and above overflow) before the freeze and during the freeze is not a suitable time to add them (as they'd require ulps to be regenerated again), so I'm not changing that function for now; when I add more tests of special cases, we'll discover whether sinhl indeed has this problem. Tested powerpc32. * sysdeps/ieee754/ldbl-128ibm/e_coshl.c (__ieee754_coshl): Increase overflow threshold.
* Fix ldbl-128ibm logl inaccuracy (bug 16386).Joseph Myers2014-01-021-0/+8
| | | | | | | | | | | | This patch fixes bug 16386, ldbl-128ibm logl inaccuracy (with consequent inaccuracy for lgammal) for arguments where the high double is subnormal, which showed up while attempting to regenerate ulps for powerpc-nofpu for 2.19. The problem here is logic failing to allow for subnormals when calculating the exponent of the argument. Tested for powerpc-nofpu. * sysdeps/ieee754/ldbl-128ibm/e_logl.c (__ieee754_logl): Adjust numbers with subnormal high part when calculating exponent.
* Fix ldbl-128ibm asinhl inaccuracy (bug 16385).Joseph Myers2014-01-021-1/+1
| | | | | | | | | | | This patch fixes bug 16385, ldbl-128ibm asinhl inaccuracy, which showed up while attempting to regenerate ulps for powerpc-nofpu for 2.19. The problem here was use of fabs instead of fabsl meaning large arguments were reduced to the precision of double. Tested for powerpc-nofpu. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Use fabsl not fabs.
* Fix ldbl-128ibm acoshl inaccuracy (bug 16384).Joseph Myers2014-01-021-2/+2
| | | | | | | | | | | | | | | This patch fixes bug 16384, ldbl-128ibm acoshl inaccuracy, which showed up while attempting to regenerate ulps for powerpc-nofpu for 2.19. There were two separate problems, use of __log1p instead of __log1pl and an insufficiently accurate constant value for log 2 (which this patch replaces by use of M_LN2l), each of which could cause substantial inaccuracy in affected cases. Tested for powerpc-nofpu. * sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (ln2): Initialize with M_LN2l. (__ieee754_acoshl): Use __log1pl not __log1p.
* Update copyright notices with scripts/update-copyrightsAllan McRae2014-01-0135-35/+35
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* PowerPC: multiarch logb/logbf/logbl for PowerPC32Adhemerval Zanella2013-12-061-1/+2
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* Fix Bessel function error handling (bug 6807, bug 15901).Joseph Myers2013-12-041-1/+1
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* Fix erfc errno setting on underflow (bug 6786).Joseph Myers2013-12-031-2/+11
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* PowerPC: Set/restore rounding mode only when neededAdhemerval Zanella2013-11-254-21/+16
| | | | | | | | | | | | | | | | | | | | | | | | | | This patch helps some math functions performance by adding the libc_fexxx variant of inline functions to handle both FPU round and exception set/restore and by using them on the libc_fexxx_ctx functions. It is based on already coded fexxx family functions for PPC with fpu. Here is the summary of performance improvements due this patch (measured on a POWER7 machine): Before: cos(): ITERS:9.5895e+07: TOTAL:5116.03Mcy, MAX:77.6cy, MIN:49.792cy, 18744 calls/Mcy exp(): ITERS:2.827e+07: TOTAL:5187.15Mcy, MAX:494.018cy, MIN:38.422cy, 5450.01 calls/Mcy pow(): ITERS:6.1705e+07: TOTAL:5144.26Mcy, MAX:171.95cy, MIN:29.935cy, 11994.9 calls/Mcy sin(): ITERS:8.6898e+07: TOTAL:5117.06Mcy, MAX:83.841cy, MIN:46.582cy, 16982 calls/Mcy tan(): ITERS:2.9473e+07: TOTAL:5115.39Mcy, MAX:191.017cy, MIN:172.352cy, 5761.63 calls/Mcy After: cos(): ITERS:2.05265e+08: TOTAL:5111.37Mcy, MAX:78.754cy, MIN:24.196cy, 40158.5 calls/Mcy exp(): ITERS:3.341e+07: TOTAL:5170.84Mcy, MAX:476.317cy, MIN:15.574cy, 6461.23 calls/Mcy pow(): ITERS:7.6153e+07: TOTAL:5129.1Mcy, MAX:147.5cy, MIN:30.916cy, 14847.2 calls/Mcy sin(): ITERS:1.58816e+08: TOTAL:5115.11Mcy, MAX:1490.39cy, MIN:22.341cy, 31048.4 calls/Mcy tan(): ITERS:3.4964e+07: TOTAL:5114.18Mcy, MAX:177.422cy, MIN:146.115cy, 6836.68 calls/Mcy
* Avoid ordered comparisons of NaNs in ldbl-128ibm acosl and asinl.Joseph Myers2013-10-102-0/+4
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* PowerPC floating point little-endian [6 of 15]Alan Modra2013-10-041-28/+23
| | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-07/msg00197.html A rewrite to make this code correct for little-endian. * sysdeps/ieee754/ldbl-128ibm/e_sqrtl.c (mynumber): Replace union 32-bit int array member with 64-bit int array. (t515, tm256): Double rather than long double. (__ieee754_sqrtl): Rewrite using 64-bit arithmetic.
* PowerPC floating point little-endian [5 of 15]Alan Modra2013-10-042-56/+0
| | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-08/msg00085.html Rid ourselves of ieee854. * sysdeps/ieee754/ldbl-128ibm/ieee754.h (union ieee854_long_double): Delete. (IEEE854_LONG_DOUBLE_BIAS): Delete. * sysdeps/ieee754/ldbl-128ibm/math_ldbl.h: Don't include ieee854 version of math_ldbl.h.
* PowerPC floating point little-endian [4 of 15]Alan Modra2013-10-044-134/+152
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-08/msg00084.html Another batch of ieee854 macros and union replacement. These four files also have bugs fixed with this patch. The fact that the two doubles in an IBM long double may have different signs means that negation and absolute value operations can't just twiddle one sign bit as you can with ieee864 style extended double. fmodl, remainderl, erfl and erfcl all had errors of this type. erfl also returned +1 for large magnitude negative input where it should return -1. The hypotl error is innocuous since the value adjusted twice is only used as a flag. The e_hypotl.c tests for large "a" and small "b" are mutually exclusive because we've already exited when x/y > 2**120. That allows some further small simplifications. [BZ #15734], [BZ #15735] * sysdeps/ieee754/ldbl-128ibm/e_fmodl.c (__ieee754_fmodl): Rewrite all uses of ieee875 long double macros and unions. Simplify test for 0.0L. Correct |x|<|y| and |x|=|y| test. Use ldbl_extract_mantissa value for ix,iy exponents. Properly normalize after ldbl_extract_mantissa, and don't add hidden bit already handled. Don't treat low word of ieee854 mantissa like low word of IBM long double and mask off bit when testing for zero. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c (__ieee754_hypotl): Rewrite all uses of ieee875 long double macros and unions. Simplify tests for 0.0L and inf. Correct double adjustment of k. Delete dead code adjusting ha,hb. Simplify code setting kld. Delete two600 and two1022, instead use their values. Recognise that tests for large "a" and small "b" are mutually exclusive. Rename vars. Comment. * sysdeps/ieee754/ldbl-128ibm/e_remainderl.c (__ieee754_remainderl): Rewrite all uses of ieee875 long double macros and unions. Simplify test for 0.0L and nan. Correct negation. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c (__erfl): Rewrite all uses of ieee875 long double macros and unions. Correct output for large magnitude x. Correct absolute value calculation. (__erfcl): Likewise. * math/libm-test.inc: Add tests for errors discovered in IBM long double versions of fmodl, remainderl, erfl and erfcl.
* PowerPC floating point little-endian [3 of 15]Alan Modra2013-10-0421-240/+284
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-08/msg00083.html Further replacement of ieee854 macros and unions. These files also have some optimisations for comparison against 0.0L, infinity and nan. Since the ABI specifies that the high double of an IBM long double pair is the value rounded to double, a high double of 0.0 means the low double must also be 0.0. The ABI also says that infinity and nan are encoded in the high double, with the low double unspecified. This means that tests for 0.0L, +/-Infinity and +/-NaN need only check the high double. * sysdeps/ieee754/ldbl-128ibm/e_atan2l.c (__ieee754_atan2l): Rewrite all uses of ieee854 long double macros and unions. Simplify tests for long doubles that are fully specified by the high double. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_ilogbl.c (__ieee754_ilogbl): Likewise. Remove dead code too. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_log10l.c (__ieee754_log10l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_logl.c (__ieee754_logl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise. Remove dead code too. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (__expm1l): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_frexpl.c (__frexpl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_isinf_nsl.c (__isinf_nsl): Likewise. Simplify. * sysdeps/ieee754/ldbl-128ibm/s_isinfl.c (___isinfl): Likewise. Simplify. * sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (__log1pl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_modfl.c (__modfl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c (__nextafterl): Likewise. Comment on variable precision. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalblnl.c (__scalblnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c (__scalbnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Adjust tan_towardzero ulps.
* PowerPC floating point little-endian [2 of 15]Alan Modra2013-10-0425-85/+138
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-08/msg00082.html This patch replaces occurrences of GET_LDOUBLE_* and SET_LDOUBLE_* macros, and union ieee854_long_double_shape_type in ldbl-128ibm/, and a stray one in the 32-bit fpu support. These files have no significant changes apart from rewriting the long double bit access. * sysdeps/ieee754/ldbl-128ibm/math_ldbl.h (ldbl_high): Define. * sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (__ieee754_acoshl): Rewrite all uses of ieee854 long double macros and unions. * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_coshl.c (__ieee754_coshl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_log2l.c (__ieee754_log2l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_rem_pio2l.c (__ieee754_rem_pio2l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_cosl.c (__kernel_cosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c (__atanl): Likewise. Simplify sign and nan test too. * sysdeps/ieee754/ldbl-128ibm/s_cosl.c (__cosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fabsl.c (__fabsl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_finitel.c (___finitel): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fpclassifyl.c (___fpclassifyl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_isnanl.c (___isnanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_issignalingl.c (__issignalingl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_logbl.c (__logbl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_signbitl.c (___signbitl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_sincosl.c (__sincosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_sinl.c (__sinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanl.c (__tanl): Likewise. * sysdeps/powerpc/powerpc32/power7/fpu/s_logbl.c (__logbl): Likewise.
* PowerPC floating point little-endian [1 of 15]Alan Modra2013-10-041-2/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-08/msg00081.html This is the first of a series of patches to ban ieee854_long_double and the ieee854_long_double macros when using IBM long double. union ieee854_long_double just isn't correct for IBM long double, especially when little-endian, and pretending it is OK has allowed a number of bugs to remain undetected in sysdeps/ieee754/ldbl-128ibm/. This changes the few places in generic code that use it. * stdio-common/printf_size.c (__printf_size): Don't use union ieee854_long_double in fpnum union. * stdio-common/printf_fphex.c (__printf_fphex): Likewise. Use signbit macro to retrieve sign from long double. * stdio-common/printf_fp.c (___printf_fp): Use signbit macro to retrieve sign from long double. * sysdeps/ieee754/ldbl-128ibm/printf_fphex.c: Adjust for fpnum change. * sysdeps/ieee754/ldbl-128/printf_fphex.c: Likewise. * sysdeps/ieee754/ldbl-96/printf_fphex.c: Likewise. * sysdeps/x86_64/fpu/printf_fphex.c: Likewise. * math/test-misc.c (main): Don't use union ieee854_long_double. ports/ * sysdeps/ia64/fpu/printf_fphex.c: Adjust for fpnum change.
* Fix for [BZ #15680] IBM long double inaccuracyAlan Modra2013-10-045-106/+156
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-06/msg00919.html I discovered a number of places where denormals and other corner cases were being handled wrongly. - printf_fphex.c: Testing for the low double exponent being zero is unnecessary. If the difference in exponents is less than 53 then the high double exponent must be nearing the low end of its range, and the low double exponent hit rock bottom. - ldbl2mpn.c: A denormal (ie. exponent of zero) value is treated as if the exponent was one, so shift mantissa left by one. Code handling normalisation of the low double mantissa lacked a test for shift count greater than bits in type being shifted, and lacked anything to handle the case where the difference in exponents is less than 53 as in printf_fphex.c. - math_ldbl.h (ldbl_extract_mantissa): Same as above, but worse, with code testing for exponent > 1 for some reason, probably a typo for >= 1. - math_ldbl.h (ldbl_insert_mantissa): Round the high double as per mpn2ldbl.c (hi is odd or explicit mantissas non-zero) so that the number we return won't change when applying ldbl_canonicalize(). Add missing overflow checks and normalisation of high mantissa. Correct misleading comment: "The hidden bit of the lo mantissa is zero" is not always true as can be seen from the code rounding the hi mantissa. Also by inspection, lzcount can never be less than zero so remove that test. Lastly, masking bitfields to their widths can be left to the compiler. - mpn2ldbl.c: The overflow checks here on rounding of high double were just plain wrong. Incrementing the exponent must be accompanied by a shift right of the mantissa to keep the value unchanged. Above notes for ldbl_insert_mantissa are also relevant. [BZ #15680] * sysdeps/ieee754/ldbl-128ibm/e_rem_pio2l.c: Comment fix. * sysdeps/ieee754/ldbl-128ibm/printf_fphex.c (PRINT_FPHEX_LONG_DOUBLE): Tidy code by moving -53 into ediff calculation. Remove unnecessary test for denormal exponent. * sysdeps/ieee754/ldbl-128ibm/ldbl2mpn.c (__mpn_extract_long_double): Correct handling of denormals. Avoid undefined shift behaviour. Correct normalisation of low mantissa when low double is denormal. * sysdeps/ieee754/ldbl-128ibm/math_ldbl.h (ldbl_extract_mantissa): Likewise. Comment. Use uint64_t* for hi64. (ldbl_insert_mantissa): Make both hi64 and lo64 parms uint64_t. Correct normalisation of low mantissa. Test for overflow of high mantissa and normalise. (ldbl_nearbyint): Use more readable constant for two52. * sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c (__mpn_construct_long_double): Fix test for overflow of high mantissa and correct normalisation. Avoid undefined shift.
* IBM long double mechanical changes to support little-endianAlan Modra2013-10-0410-184/+145
| | | | | | | | | | | | | | | | | | | | | | | http://sourceware.org/ml/libc-alpha/2013-07/msg00001.html This patch starts the process of supporting powerpc64 little-endian long double in glibc. IBM long double is an array of two ieee doubles, so making union ibm_extended_long_double reflect this fact is the correct way to access fields of the doubles. * sysdeps/ieee754/ldbl-128ibm/ieee754.h (union ibm_extended_long_double): Define as an array of ieee754_double. (IBM_EXTENDED_LONG_DOUBLE_BIAS): Delete. * sysdeps/ieee754/ldbl-128ibm/printf_fphex.c: Update all references to ibm_extended_long_double and IBM_EXTENDED_LONG_DOUBLE_BIAS. * sysdeps/ieee754/ldbl-128ibm/e_exp10l.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/ldbl2mpn.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/math_ldbl.h: Likewise. * sysdeps/ieee754/ldbl-128ibm/mpn2ldbl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/strtold_l.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/x2y2m1l.c: Likewise.
* Fix typos.Ondřej Bílka2013-08-301-1/+1
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* [BZ #15522] strtod ("nan(N)") returning a sNaN in some casesThomas Schwinge2013-08-292-5/+23
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* Fix cproj handling of (finite, NaN) arguments (bug 15531).Joseph Myers2013-08-201-3/+1
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* Fix leading whitespaces.Ondrej Bilka2013-06-065-23/+23
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* Remove trailing whitespace.Joseph Myers2013-06-055-11/+11
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* Fix nearbyint scheduling of arithmetic past fesetenv (bug 15490).Joseph Myers2013-05-191-0/+5
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* Add #include <stdint.h> for uint[32|64]_t usage (except installed headers).Ryan S. Arnold2013-05-161-0/+1
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* Fix ldbl-128ibm cos range reduction near pi/2 (bug 15359).Joseph Myers2013-05-091-5/+5
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