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* Fix y0 and y1 exception handling for zero input [BZ #21134]Gabriel F. T. Gomes2017-02-151-1/+1
| | | | | | | | | | | | | | | | | | | | | The Bessel functions of the second type (Yn) should raise the "divide by zero" exception when input is zero (both positive and negative). Current code gives the right output, but fails to set the exception. This error is exposed for float, double, and long double when linking with -lieee. Without this flag, the error is not exposed, because the wrappers for these functions, which use __kernel_standard functionality, set the exception as expected. Tested for powerpc64le. [BZ #21134] * sysdeps/ieee754/dbl-64/e_j0.c (__ieee754_y0): Raise the "divide by zero" exception when the input is zero. * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_y1): Likewise. * sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Likewise. * sysdeps/ieee754/ldbl-128/e_j0l.c (__ieee754_y0l): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_y1l): Likewise.
* Fix j1, jn missing errno setting on underflow (bug 18611).Joseph Myers2015-10-231-1/+3
| | | | | | | | | | | | | | | | | | | | | | | | j1 and jn can underflow for small arguments, but fail to set errno when underflowing to 0. This patch fixes them to set errno in that case. Tested for x86_64, x86, mips64 and powerpc. [BZ #18611] * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Set errno and avoid excess range and precision on underflow. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Likewise. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Set errno on underflow. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * math/auto-libm-test-in: Do not allow missing errno setting for tests of j1 and jn. * math/auto-libm-test-out: Regenerated.
* Refactor code forcing underflow exceptions.Joseph Myers2015-09-231-4/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various floating-point functions have code to force underflow exceptions if a tiny result was computed in a way that might not have resulted in such exceptions even though the result is inexact. This typically uses math_force_eval to ensure that the underflowing expression is evaluated, but sometimes uses volatile. This patch refactors such code to use three new macros math_check_force_underflow, math_check_force_underflow_nonneg and math_check_force_underflow_complex (which in turn use math_force_eval). In the limited number of cases not suited to a simple conversion to these macros, existing uses of volatile are changed to use math_force_eval instead. The converted code does not always execute exactly the same sequence of operations as the original code, but the overall effects should be the same. Tested for x86_64, x86, mips64 and powerpc. * sysdeps/generic/math_private.h (fabs_tg): New macro. (min_of_type): Likewise. (math_check_force_underflow): Likewise. (math_check_force_underflow_nonneg): Likewise. (math_check_force_underflow_complex): Likewise. * math/e_exp2l.c (__ieee754_exp2l): Use math_check_force_underflow_nonneg. * math/k_casinh.c (__kernel_casinh): Likewise. * math/k_casinhf.c (__kernel_casinhf): Likewise. * math/k_casinhl.c (__kernel_casinhl): Likewise. * math/s_catan.c (__catan): Use math_check_force_underflow_complex. * 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. * math/s_ccosh.c (__ccosh): Likewise. * math/s_ccoshf.c (__ccoshf): Likewise. * math/s_ccoshl.c (__ccoshl): Likewise. * math/s_cexp.c (__cexp): Likewise. * math/s_cexpf.c (__cexpf): Likewise. * math/s_cexpl.c (__cexpl): Likewise. * math/s_clog.c (__clog): Use math_check_force_underflow_nonneg. * math/s_clog10.c (__clog10): Likewise. * math/s_clog10f.c (__clog10f): Likewise. * math/s_clog10l.c (__clog10l): Likewise. * math/s_clogf.c (__clogf): Likewise. * math/s_clogl.c (__clogl): Likewise. * math/s_csin.c (__csin): Use math_check_force_underflow_complex. * math/s_csinf.c (__csinf): Likewise. * math/s_csinh.c (__csinh): Likewise. * math/s_csinhf.c (__csinhf): Likewise. * math/s_csinhl.c (__csinhl): Likewise. * math/s_csinl.c (__csinl): Likewise. * math/s_csqrt.c (__csqrt): Use math_check_force_underflow. * math/s_csqrtf.c (__csqrtf): Likewise. * math/s_csqrtl.c (__csqrtl): Likewise. * math/s_ctan.c (__ctan): Use math_check_force_underflow_complex. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * stdlib/strtod_l.c (round_and_return): Use math_force_eval instead of volatile. * sysdeps/ieee754/dbl-64/e_asin.c (__ieee754_asin): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/e_atanh.c (__ieee754_atanh): Likewise. * sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Do not use volatile when forcing underflow. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c (__ieee754_sinh): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c (__asinh): Likewise. * sysdeps/ieee754/dbl-64/s_atan.c (atan): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/s_erf.c (__erf): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/s_expm1.c (__expm1): Likewise. * sysdeps/ieee754/dbl-64/s_fma.c (__fma): Use math_force_eval instead of volatile. * sysdeps/ieee754/dbl-64/s_log1p.c (__log1p): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/s_sin.c (__sin): Likewise. * sysdeps/ieee754/dbl-64/s_tan.c (tan): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/s_tanh.c (__tanh): Use math_check_force_underflow. * sysdeps/ieee754/flt-32/e_asinf.c (__ieee754_asinf): Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c (__ieee754_atanhf): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Use math_check_force_underflow. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c (__ieee754_sinhf): Likewise. * sysdeps/ieee754/flt-32/k_sinf.c (__kernel_sinf): Likewise. * sysdeps/ieee754/flt-32/k_tanf.c (__kernel_tanf): Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c (__asinhf): Likewise. * sysdeps/ieee754/flt-32/s_atanf.c (__atanf): Likewise. * sysdeps/ieee754/flt-32/s_erff.c (__erff): Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c (__expm1f): Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c (__log1pf): Likewise. * sysdeps/ieee754/flt-32/s_tanhf.c (__tanhf): Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-128/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c (__ieee754_expl): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128/s_atanl.c (__atanl): Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Likewise. * sysdeps/ieee754/ldbl-128/s_fmal.c (__fmal): Use math_force_eval instead of volatile. * sysdeps/ieee754/ldbl-128/s_log1pl.c (__log1pl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): 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/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c (__atanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-96/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-96/k_tanl.c (__kernel_tanl): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-96/s_asinhl.c (__asinhl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-96/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c (__fmal): Use math_force_eval instead of volatile. * sysdeps/ieee754/ldbl-96/s_tanhl.c (__tanhl): Use math_check_force_underflow.
* Fix j1, jn missing underflows (bug 16559).Joseph Myers2015-06-291-1/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, j1 and jn implementations can fail to raise the underflow exception when the internal computation is exact although the actual function is inexact. This patch forces the exception in a similar way to other such fixes. (The ldbl-128 / ldbl-128ibm j1l implementation is different and doesn't need a change for this until spurious underflows in it are fixed.) Tested for x86_64, x86, mips64 and powerpc. [BZ #16559] * sysdeps/ieee754/dbl-64/e_j1.c: Include <float.h>. (__ieee754_j1): Force underflow exception for small results. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Include <float.h>. (__ieee754_j1f): Force underflow exception for small results. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c: Include <float.h>. (__ieee754_j1l): Force underflow exception for small results. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * math/auto-libm-test-in: Add more tests of j1 and jn. * math/auto-libm-test-out: Regenerated.
* This patch renames all uses of __isinf*, __isnan*, __finite* and __signbit* ↵Wilco Dijkstra2015-06-031-1/+1
| | | | to use standard C99 macros. This has no effect on generated code.
* Avoid uninitialized warnings in Bessel functions.Joseph Myers2015-02-261-2/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | math/Makefile currently has: # The fdlibm code generates a lot of these warnings but is otherwise clean. override CFLAGS += -Wno-uninitialized This is of course undesirable; warnings should be disabled as narrowly as possible. To remove this override, we need to fix files that generate such warnings, or put warning-disabling pragmas in them. This patch does so for Bessel function implementations, one of the cases that have the warnings if the override is removed. The warnings arise because functions set pointer variables p and q only for certain values of the function argument, then use them unconditionally. As the static functions in question only get called for arguments that satisfy the last condition in the if/else chain, the natural fix is to change the last "else if" to just "else", which this patch does. (The ldbl-128 / ldbl-128ibm implementation of these functions is substantially different and looks like it already does use "else" in the last case in the nearest corresponding code.) Tested for x86_64 and x86. * sysdeps/ieee754/dbl-64/e_j0.c (pzero): Change last case for setting p and q from "else if" to "else". (qzero): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (pone): Likewise. (qone): Likewise. * sysdeps/ieee754/flt-32/e_j0f.c (pzerof): Likewise. (qzerof): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (ponef): Likewise. (qonef): Likewise. * sysdeps/ieee754/ldbl-96/e_j0l.c (pzero): Likewise. (qzero): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c (pone): Likewise. (qone): Likewise.
* 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.
* 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
* Correct tinyness handling in long-double and float y0/y1.David S. Miller2012-11-181-1/+1
| | | | | | | | | | | | | | | | | 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.
* Use <> for math.h and math_private.h everywhere.Richard Henderson2012-03-091-2/+2
| | | | Entire tree edited via find | grep | sed.
* Optimize libmUlrich Drepper2011-10-121-174/+65
| | | | | libm is now somewhat integrated with gcc's -ffinite-math-only option and lots of the wrapper functions have been optimized.
* Update.Andreas Jaeger2003-12-281-2/+2
| | | | | | | | | | | | | | | | | | | | | | * sysdeps/ieee754/dbl-64/e_j0.c (__ieee754_y0): Raise only overflow for 0 as argument. Raise Invalid exception for negative args. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_yn): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_y0): Likewise. * sysdeps/ieee754/ldb-128/e_jnl.c (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldb-128/e_j0l.c (__ieee754_y0l): Likewise. * sysdeps/ieee754/ldb-128/e_j1l.c (__ieee754_y1l): Likewise. * sysdeps/ieee754/ldb-96/e_jnl.c (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldb-96/e_j0l.c (__ieee754_y0l): Likewise. * sysdeps/ieee754/ldb-96/e_j1l.c (__ieee754_y1l): Likewise. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_ynf): Likewise. * sysdeps/ieee754/flt-32/e_j0f.c (__ieee754_y0f): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_y1f): Likewise. * math/libm-test.inc (yn_test): Expect invalid exception for negative arguments. (y0_test): Likewise. (y1_test): Likewise.
* Little optimization, use sincos.Ulrich Drepper2001-02-131-4/+2
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* Update.Ulrich Drepper2000-10-251-15/+15
| | | | | | | | | | 2000-10-25 Ulrich Drepper <drepper@redhat.com> * sysdeps/ieee754/dbl-64/e_jn.c: Use __ieee754_sqrt instead of __sqrt. * sysdeps/ieee754/dbl-64/e_j1.c: Likewise. * sysdeps/ieee754/dbl-64/e_j0.c: Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Likewise. * sysdeps/ieee754/flt-32/e_j0f.c: Likewise.
* Update.Ulrich Drepper1999-07-141-0/+444
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