Paul Zimmermann 9acda61d94 Fix the inaccuracy of j0f/j1f/y0f/y1f [BZ #14469, #14470, #14471, #14472] ... For j0f/j1f/y0f/y1f, the largest error for all binary32 inputs is reduced to at most 9 ulps for all rounding modes. The new code is enabled only when there is a cancellation at the very end of the j0f/j1f/y0f/y1f computation, or for very large inputs, thus should not give any visible slowdown on average. Two different algorithms are used: * around the first 64 zeros of j0/j1/y0/y1, approximation polynomials of degree 3 are used, computed using the Sollya tool (https://www.sollya.org/) * for large inputs, an asymptotic formula from [1] is used [1] Fast and Accurate Bessel Function Computation, John Harrison, Proceedings of Arith 19, 2009. Inputs yielding the new largest errors are added to auto-libm-test-in, and ulps are regenerated for various targets (thanks Adhemerval Zanella). Tested on x86_64 with --disable-multi-arch and on powerpc64le-linux-gnu. Reviewed-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>		2021-04-02 06:15:48 +02:00
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e_hypot.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
e_hypotf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
e_sqrt.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
e_sqrtf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fclrexcpt.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fe_mask.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fe_nomask.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fedisblxcpt.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
feenablxcpt.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fegetenv.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fegetexcept.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fegetmode.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fegetround.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
feholdexcpt.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fenv_const.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fenv_libc.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fenv_private.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fesetenv.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fesetexcept.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fesetmode.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fesetround.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
feupdateenv.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fgetexcptflg.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fix-fp-int-compare-invalid.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fraiseexcpt.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
fsetexcptflg.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
ftestexcept.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
get-rounding-mode.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
libm-test-ulps	Fix the inaccuracy of j0f/j1f/y0f/y1f [BZ #14469, #14470, #14471, #14472]	2021-04-02 06:15:48 +02:00
libm-test-ulps-name
Makefile
math_ldbl.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
math_private.h	powerpc: Add optimized ilogb* for POWER9	2021-03-16 12:19:09 -03:00
math-barriers.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
math-tests-trap-force.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
math-use-builtins-fma.h	math: Decompose math-use-builtins.h	2020-06-22 11:09:45 -03:00
math-use-builtins-sqrt.h	powerpc: Use sqrt{f} builtin	2020-06-22 11:09:49 -03:00
round_to_integer.h	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_ceil.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_ceilf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_copysign.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_copysignf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_floor.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_floorf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_logb.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_logbf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_logbl.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_lrintf.c
s_modf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_modff.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_nearbyint.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_nearbyintf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_rint.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_rintf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_round.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_roundf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_trunc.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
s_truncf.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00
t_sqrt.c
tst-setcontext-fpscr.c	Update copyright dates with scripts/update-copyrights	2021-01-02 12:17:34 -08:00