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* Improve the accuracy of tgamma (BZ #26983)Paul Zimmermann2021-04-071-0/+276
| | | | | | | | | | | | With this patch, the maximal known error for tgamma is now reduced to 9 ulps for dbl-64, for all rounding modes. Since exhaustive testing is not possible for dbl-64, it might be that there are still cases with an error larger than 9 ulps, but all known cases are fixed (intensive tests were done to find cases with large errors). Tested on x86_64 and powerpc (and by Adhemerval Zanella on aarch64, arm, s390x, sparc, and i686). Reviewed-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>
* add inputs to auto-libm-test-in yielding larger errors (binary64, x86_64)Paul Zimmermann2020-12-211-0/+69
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* math: Add inputs that yield larger errors for float type (x86_64)Paul Zimmermann2020-03-311-0/+25
| | | | | | | | | | | The corner cases included were generated using exhaustive search for all float/binary32 values on x86_64 (comparing to MPFR for correct rounding to nearest). For the j0/j1/y0 functions, only cases with ulp error <= 9 were included. Reviewed-by: Carlos O'Donell <carlos@redhat.com>
* Split auto-libm-test-out by function.Joseph Myers2017-02-061-0/+27305
math/auto-libm-test-out is, at over 30 MB, by far the largest file in the glibc source tree. This patch splits it by function, so reducing it to auto-libm-test-out-<func> files that are all under 5 MB in size. This is preliminary to splitting up libm-test.inc as well so that each function's tests can also be processed separately by gen-libm-test.pl. As a preliminary patch it doesn't actually implement that step; rather, all the separate files get concatenated by the Makefile to produce the monolithic auto-libm-test-out file again as an input to gen-libm-test.pl. (The concatentation is identical to the file in the source tree before this patch.) Even this preliminary step, however, is of use independent of splitting up libm-test.inc: some tests for csin and csinh have not been moved to auto-libm-test-in because they result in auto-libm-test-out generation taking several minutes rather than a few seconds (all released MPC versions are very slow for certain sin / sinh inputs; there are some old improvements in MPC mainline which should eventually become MPC 1.1, but the complex inverse trig and hyperbolic functions are slow even in MPC mainline and have yet to be moved to auto-libm-test-in at all), and it seems much more reasonable to add such inputs to auto-libm-test-in when it will only slow down regeneration for particular functions than when it will slow down regeneration globally. gen-auto-libm-tests still parses the whole input file, but only generates output for the requested function. This ensures bad syntax in the file is always detected, and parsing the whole file is quick; it's output generation that is comparatively slow for some functions. Tested for x86_64. * math/gen-auto-libm-tests.c: Update comment about use of program. (generate_output): Add argument FUNCTION. (main): Require extra argument. Pass function name to generate_output. * math/Makefile (generated): Add auto-libm-test-out. (libm-test-funcs-auto): New variable. (auto-libm-test-out-files): New variable. ($(objpfx)libm-test.c): Depend on $(auto-libm-test-out-files). Concatenate those files to form $(objpfx)auto-libm-test-out and use it as input to gen-libm-test.pl. * math/README.libm-test: Update. * math/auto-libm-test-out: Remove. * math/auto-libm-test-out-acos: New generated file. * math/auto-libm-test-out-acosh: Likewise. * math/auto-libm-test-out-asin: Likewise. * math/auto-libm-test-out-asinh: Likewise. * math/auto-libm-test-out-atan: Likewise. * math/auto-libm-test-out-atan2: Likewise. * math/auto-libm-test-out-atanh: Likewise. * math/auto-libm-test-out-cabs: Likewise. * math/auto-libm-test-out-carg: Likewise. * math/auto-libm-test-out-cbrt: Likewise. * math/auto-libm-test-out-ccos: Likewise. * math/auto-libm-test-out-ccosh: Likewise. * math/auto-libm-test-out-cexp: Likewise. * math/auto-libm-test-out-clog: Likewise. * math/auto-libm-test-out-clog10: Likewise. * math/auto-libm-test-out-cos: Likewise. * math/auto-libm-test-out-cosh: Likewise. * math/auto-libm-test-out-cpow: Likewise. * math/auto-libm-test-out-csin: Likewise. * math/auto-libm-test-out-csinh: Likewise. * math/auto-libm-test-out-csqrt: Likewise. * math/auto-libm-test-out-ctan: Likewise. * math/auto-libm-test-out-ctanh: Likewise. * math/auto-libm-test-out-erf: Likewise. * math/auto-libm-test-out-erfc: Likewise. * math/auto-libm-test-out-exp: Likewise. * math/auto-libm-test-out-exp10: Likewise. * math/auto-libm-test-out-exp2: Likewise. * math/auto-libm-test-out-expm1: Likewise. * math/auto-libm-test-out-fma: Likewise. * math/auto-libm-test-out-hypot: Likewise. * math/auto-libm-test-out-j0: Likewise. * math/auto-libm-test-out-j1: Likewise. * math/auto-libm-test-out-jn: Likewise. * math/auto-libm-test-out-lgamma: Likewise. * math/auto-libm-test-out-log: Likewise. * math/auto-libm-test-out-log10: Likewise. * math/auto-libm-test-out-log1p: Likewise. * math/auto-libm-test-out-log2: Likewise. * math/auto-libm-test-out-pow: Likewise. * math/auto-libm-test-out-sin: Likewise. * math/auto-libm-test-out-sincos: Likewise. * math/auto-libm-test-out-sinh: Likewise. * math/auto-libm-test-out-sqrt: Likewise. * math/auto-libm-test-out-tan: Likewise. * math/auto-libm-test-out-tanh: Likewise. * math/auto-libm-test-out-tgamma: Likewise. * math/auto-libm-test-out-y0: Likewise. * math/auto-libm-test-out-y1: Likewise. * math/auto-libm-test-out-yn: Likewise.