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* Update copyright dates with scripts/update-copyrights.Joseph Myers2015-01-0219-19/+19
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* Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562).Joseph Myers2014-06-271-2/+14
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 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.
* Set errno for y1 overflow (bug 17050).Joseph Myers2014-06-231-1/+5
| | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 17050, missing errno setting for y1 overflow (for small positive arguments). An appropriate check is added for overflow directly in the __ieee754_y1 implementation, similar to the check present for yn (doing it there rather than in the wrapper also avoids yn needing to repeat the check when called for order 1 or -1 and it uses __ieee754_y1). Tested x86_64 and x86; no ulps update needed. Also tested for mips64 to verify the ldbl-128 fix (the ldbl-128ibm code just #includes the ldbl-128 file). [BZ #17050] * sysdeps/ieee754/dbl-64/e_j1.c: Include <errno.h>. (__ieee754_y1): Set errno if return value overflows. * sysdeps/ieee754/flt-32/e_j1f.c: Include <errno.h>. (__ieee754_y1f): Set errno if return value overflows. * sysdeps/ieee754/ldbl-128/e_j1l.c: Include <errno.h>. (__ieee754_y1l): Set errno if return value overflows. * sysdeps/ieee754/ldbl-96/e_j1l.c: Include <errno.h>. (__ieee754_y1l): Set errno if return value overflows. * math/auto-libm-test-in: Add more tests of y0, y1 and yn. * math/auto-libm-test-out: Regenerated.
* [BZ #6803] Set errno for scalbln, scalbnStefan Liebler2014-06-201-1/+0
| | | | | | | | | | | 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.
* Fix excessive ULP for y1_upward (0x2p+0) in test-float and test-ifloat.David S. Miller2014-05-311-0/+1
| | | | | * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Force computations to occur in round to nearest mode when |x| >= 2.0
* Fix erf underflow handling near 0 (bug 16516).Joseph Myers2014-05-141-3/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* [BZ #16823] Fix log1pl returning wrong infinity signStefan Liebler2014-04-291-1/+1
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* Fix catan, catanh, __ieee754_logf in round-downward mode (bug 16799, bug 16800).Joseph Myers2014-04-021-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes incorrect results from catan and catanh of certain special inputs in round-downward mode (bug 16799), and incorrect results of __ieee754_logf (+/-0) in round-downward mode (bug 16800) that show up through catan/catanh when tested in all rounding modes, but not directly in the testing for logf because the bug gets hidden by the wrappers. Both bugs involve a zero that should be +0 being -0 instead: one computed as (1-x)*(1+x) in the catan/catanh case, and one as (x-x) in the logf case. The fixes ensure positive zero is used. Testing of catan and catanh in all rounding modes is duly enabled. I expect there are various other bugs in special cases in __ieee754_* functions that are normally hidden by the wrappers but would show up for testing with -lieee (or in future with -fno-math-errno if we replace -lieee and _LIB_VERSION with compile-time redirection to new *_noerrno symbol names). Tested x86_64 and x86 and ulps updated accordingly. [BZ #16799] [BZ #16800] * math/s_catan.c (__catan): Avoid passing -0 denominator to atan2 with 0 numerator. * math/s_catanf.c (__catanf): Likewise. * math/s_catanh.c (__catanh): Likewise. * math/s_catanhf.c (__catanhf): Likewise. * math/s_catanhl.c (__catanhl): Likewise. * math/s_catanl.c (__catanl): Likewise. * sysdeps/ieee754/flt-32/e_logf.c (__ieee754_logf): Always divide by positive zero when computing -Inf result. * math/libm-test.inc (catan_test): Use ALL_RM_TEST. (catanh_test): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix nextafter overflow in non-default rounding modes (bug 16677).Joseph Myers2014-03-111-4/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Bílka2014-02-103-6/+6
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* Update copyright notices with scripts/update-copyrightsAllan McRae2014-01-0119-19/+19
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* PowerPC: multiarch finite/finitef for PowerPC32Adhemerval Zanella2013-12-061-1/+6
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* Fix erfc errno setting on underflow (bug 6786).Joseph Myers2013-12-031-2/+17
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* Fix lgammaf spurious underflow (bug 15427).Joseph Myers2013-09-031-2/+2
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* Fix spurious jnf underflows (bug 14155).Joseph Myers2013-09-021-2/+2
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* Fix leading whitespaces.Ondrej Bilka2013-06-062-8/+8
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* Remove trailing whitespace.Joseph Myers2013-06-0510-25/+25
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* Fix nearbyint scheduling of arithmetic past fesetenv (bug 15490).Joseph Myers2013-05-191-0/+2
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* Improve tgamma accuracy (bugs 2546, 2560, 5159, 15426).Joseph Myers2013-05-081-5/+129
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* New <math.h> macro named issignaling to check for a signaling NaN (sNaN).Thomas Schwinge2013-04-021-0/+42
| | | | It is based on draft TS 18661 and currently enabled as a GNU extension.
* Update copyright notices with scripts/update-copyrights.Joseph Myers2013-01-0218-19/+18
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* Correct tinyness handling in long-double and float y0/y1.David S. Miller2012-11-182-2/+2
| | | | | | | | | | | | | | | | | With help from Joseph Myers. * sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Adjust tinyness cutoff to 2**-13. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Adjust tinyness cutoff to 2**-25. * sysdeps/ieee754/ldbl-128/e_j0l.c (U0): New constant. ( __ieee754_y0l): Avoid arithmetic underflow when 'x' is very small. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise. * math/libm-test.inc (y0_test): New tests. (y1_test): New tests. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Update. * sysdeps/sparc/fpu/libm-test-ulps: Update.
* Fix spurious underflows from pow with results close to 1 (bug 14811).Joseph Myers2012-11-071-0/+4
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* Add optimized sincosf for SSE2 for x86 and x86-64Liubov Dmitrieva2012-09-251-1/+9
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* Add optimized sinf and cosf routines for x86 and x86-64Liubov Dmitrieva2012-09-032-2/+20
| | | | | | | | | | | | | | | | | | | | | | | | | | | | * sysdeps/i386/i686/fpu/multiarch/Makefile (sysdep_routines): Add s_sinf-sse2, s_conf-sse2. * sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S: New file. * sysdeps/i386/i686/fpu/multiarch/s_cosf-sse2.S: New file. * sysdeps/i386/i686/fpu/multiarch/s_sinf.c: New file. * sysdeps/i386/i686/fpu/multiarch/s_cosf.c: New file. * sysdeps/ieee754/flt-32/s_sinf.c (SINF, SINF_FUNC): Add macros for using routine as __sinf_ia32. Use macro for function declaration and weak_alias. * sysdeps/ieee754/flt-32/s_cosf.c (COSF, COSF_FUNC): Add macros for using routine as __cosf_ia32. Use macro for function declaration and weak_alias. * sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S: Fix Copyright. * sysdeps/i386/i686/fpu/multiarch/e_expf.c: Fix Copyright. * sysdeps/x86_64/fpu/s_sinf.S: New file. * sysdeps/x86_64/fpu/s_cosf.S: New file. * sysdeps/x86_64/fpu/libm-test-ulps: Update. * math/libm-test.inc (cos_test): Add more test cases. (sin_test): Likewise. (sincos_test): Likewise.
* Set up errno properly for yn.Marek Polacek2012-07-251-0/+4
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* Fix tanf underflow close to pi/4 (bug 14154).Joseph Myers2012-07-061-0/+2
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* Fix float range reduction problems (bug 14283).Joseph Myers2012-07-031-14/+23
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* Optimize handling of denormals in logb/logbf/logblAndreas Schwab2012-05-261-2/+1
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* Fix acosf underflow (bug 14153).Joseph Myers2012-05-251-1/+1
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* Fix for logb/logbf/logbl (bugs 13954/13955/13956)Adhemerval Zanella2012-05-101-14/+18
| | | | | | | | POSIX 2008 states that if the input for 'logb[f|l]' is a subnormal number it should be treated as if it were normalized. This means the implementation should calculate the log2 of the mantissa and add it to the subnormal exponent (-126 for float and -1022 for double and IBM long double). This patch takes care of that.
* Fix missing exceptions from exp (bugs 13787, 13922, 14036).Joseph Myers2012-05-051-16/+5
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* Remove useless __ilogb*_finite aliasesAndreas Schwab2012-04-181-1/+0
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* Fix ilogb exception and errno (bug 6794)Adhemerval Zanella2012-04-171-2/+2
| | | | | | | | | | | | | | | | | | | | [BZ #6794] Following Joseph comments about bug 6794, here is a proposed fix. It turned out to be a large fix mainly because I had to move some file along to follow libm files/names conventions. Basically I have added wrappers (w_ilogb.c, w_ilogbf.c, w_ilogbl.c) that now calls the symbol '__ieee754_ilogb'. The wrappers checks for '__ieee754_ilogb' output and set the errno and raise exceptions as expected. The '__ieee754_ilogb' is implemented in sysdeps. I have moved the 's_ilogb[f|l]' files to e_ilogb[f|l] and renamed the '__ilogb[f|l]' to '__ieee754_ilogb[f|l]'. I also found out a bug in i386 and x86-64 assembly coded ilogb implementation where it raises a FE_DIVBYZERO when argument is '0.0'. I corrected this issue as well. Finally I added the errno and FE_INVALID tests for 0.0, NaN and +-InF argument. Tested on i386, x86-64, ppc32 and ppc64.
* Create and use SET_RESTORE_ROUND{,_NOEX,_53BIT}{,F,L}.Richard Henderson2012-03-192-70/+68
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* Make inline __isnan, __isinf_ns, __finite generic.Richard Henderson2012-03-191-0/+35
| | | | | | For code generation to stay identical on x86_64, this requires that we define the fp word manipulation macros before including the generic header.
* Fix hypotf overflow/underflow by using double precision instead of scaling.David S. Miller2012-03-131-52/+25
| | | | | | [BZ #13840] * sysdeps/ieee754/flt-32/e_hypotf.c (__ieee754_hypotf): Rewrite to use double-precision for the calculation instead of scaling.
* Use <> for math.h and math_private.h everywhere.Richard Henderson2012-03-0961-111/+111
| | | | Entire tree edited via find | grep | sed.
* Fix scalbn, scalbln integer overflow.Joseph Myers2012-03-022-6/+10
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* Improve erfc accuracy.Joseph Myers2012-03-011-1/+1
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* Fix nearbyintf rounding.Joseph Myers2012-02-221-12/+0
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* Fix rintf rounding.Joseph Myers2012-02-221-12/+0
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* Use non-signaling floating-point comparisons in math functions.Aurelien Jarno2012-02-192-7/+7
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* Replace FSF snail mail address with URLs.Paul Eggert2012-02-0919-56/+38
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* Remove __STDC__ conditionals from libm.Joseph Myers2012-01-2721-209/+23
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* Optimize scalblnUlrich Drepper2012-01-111-25/+13
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* Optimize s_modfUlrich Drepper2012-01-101-16/+4
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* Optimize ldexp and scalbnUlrich Drepper2012-01-101-25/+13
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* Fix uses of math_force_evalAndreas Schwab2011-10-262-3/+3
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