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* Improve the accuracy of tgamma (BZ #26983)Paul Zimmermann2021-04-071-1/+5
| | | | | | | | | | | | 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>
* Fix the inaccuracy of j0f/j1f/y0f/y1f [BZ #14469, #14470, #14471, #14472]Paul Zimmermann2021-04-021-3/+17
| | | | | | | | | | | | | | | | | | | | | | | 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>
* Add inputs that generate larger error boundsPaul Zimmermann2021-02-271-0/+48
| | | | (Using values from https://members.loria.fr/PZimmermann/papers/accuracy.pdf)
* Update copyright dates with scripts/update-copyrightsPaul Eggert2021-01-021-1/+1
| | | | | | | | | | | | | | | | I used these shell commands: ../glibc/scripts/update-copyrights $PWD/../gnulib/build-aux/update-copyright (cd ../glibc && git commit -am"[this commit message]") and then ignored the output, which consisted lines saying "FOO: warning: copyright statement not found" for each of 6694 files FOO. I then removed trailing white space from benchtests/bench-pthread-locks.c and iconvdata/tst-iconv-big5-hkscs-to-2ucs4.c, to work around this diagnostic from Savannah: remote: *** pre-commit check failed ... remote: *** error: lines with trailing whitespace found remote: error: hook declined to update refs/heads/master
* add inputs to auto-libm-test-in yielding larger errors (binary64, x86_64)Paul Zimmermann2020-12-211-0/+16
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* math: Fix inaccuracy of j0f for x >= 2^127 when sin(x)+cos(x) is tinyPaul Zimmermann2020-08-071-0/+2
| | | | Checked on x86_64-linux-gnu and i686-linux-gnu.
* powerpc: Update ULPs and xfail more ibm128 outputsTulio Magno Quites Machado Filho2020-04-071-2/+2
| | | | | | | There are 2 new input values that require to be marked as xfail-rounding:ibm128-libgcc as they're known to fail because of libgcc issues with different rounding modes. Otherwise, the other tests just need an increase in ULP.
* math: Add inputs that yield larger errors for float type (x86_64)Paul Zimmermann2020-03-311-0/+24
| | | | | | | | | | | 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>
* math: Remove inline math testsAdhemerval Zanella2020-03-191-62/+62
| | | | | | | | | | | | | With mathinline removal there is no need to keep building and testing inline math tests. The gen-libm-tests.py support to generate ULP_I_* is removed and all libm-test-ulps files are updated to longer have the i{float,double,ldouble} entries. The support for no-test-inline is also removed from both gen-auto-libm-tests and the auto-libm-test-out-* were regenerated. Checked on x86_64-linux-gnu and i686-linux-gnu.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2020-01-011-1/+1
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* Prefer https to http for gnu.org and fsf.org URLsPaul Eggert2019-09-071-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Also, change sources.redhat.com to sourceware.org. This patch was automatically generated by running the following shell script, which uses GNU sed, and which avoids modifying files imported from upstream: sed -ri ' s,(http|ftp)(://(.*\.)?(gnu|fsf|sourceware)\.org($|[^.]|\.[^a-z])),https\2,g s,(http|ftp)(://(.*\.)?)sources\.redhat\.com($|[^.]|\.[^a-z]),https\2sourceware.org\4,g ' \ $(find $(git ls-files) -prune -type f \ ! -name '*.po' \ ! -name 'ChangeLog*' \ ! -path COPYING ! -path COPYING.LIB \ ! -path manual/fdl-1.3.texi ! -path manual/lgpl-2.1.texi \ ! -path manual/texinfo.tex ! -path scripts/config.guess \ ! -path scripts/config.sub ! -path scripts/install-sh \ ! -path scripts/mkinstalldirs ! -path scripts/move-if-change \ ! -path INSTALL ! -path locale/programs/charmap-kw.h \ ! -path po/libc.pot ! -path sysdeps/gnu/errlist.c \ ! '(' -name configure \ -execdir test -f configure.ac -o -f configure.in ';' ')' \ ! '(' -name preconfigure \ -execdir test -f preconfigure.ac ';' ')' \ -print) and then by running 'make dist-prepare' to regenerate files built from the altered files, and then executing the following to cleanup: chmod a+x sysdeps/unix/sysv/linux/riscv/configure # Omit irrelevant whitespace and comment-only changes, # perhaps from a slightly-different Autoconf version. git checkout -f \ sysdeps/csky/configure \ sysdeps/hppa/configure \ sysdeps/riscv/configure \ sysdeps/unix/sysv/linux/csky/configure # Omit changes that caused a pre-commit check to fail like this: # remote: *** error: sysdeps/powerpc/powerpc64/ppc-mcount.S: trailing lines git checkout -f \ sysdeps/powerpc/powerpc64/ppc-mcount.S \ sysdeps/unix/sysv/linux/s390/s390-64/syscall.S # Omit change that caused a pre-commit check to fail like this: # remote: *** error: sysdeps/sparc/sparc64/multiarch/memcpy-ultra3.S: last line does not end in newline git checkout -f sysdeps/sparc/sparc64/multiarch/memcpy-ultra3.S
* Update copyright dates with scripts/update-copyrights.Joseph Myers2019-01-011-1/+1
| | | | | | | * All files with FSF copyright notices: Update copyright dates using scripts/update-copyrights. * locale/programs/charmap-kw.h: Regenerated. * locale/programs/locfile-kw.h: Likewise.
* Fix powf overflow handling in non-nearest rounding mode [BZ #23961]Szabolcs Nagy2018-12-111-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | The threshold value at which powf overflows depends on the rounding mode and the current check did not take this into account. So when the result was rounded away from zero it could become infinity without setting errno to ERANGE. Example: pow(0x1.7ac7cp+5, 23) is 0x1.fffffep+127 + 0.1633ulp If the result goes above 0x1.fffffep+127 + 0.5ulp then errno is set, which is fine in nearest rounding mode, but powf(0x1.7ac7cp+5, 23) is inf in upward rounding mode powf(-0x1.7ac7cp+5, 23) is -inf in downward rounding mode and the previous implementation did not set errno in these cases. The fix tries to avoid affecting the common code path or calling a function that may introduce a stack frame, so float arithmetics is used to check the rounding mode and the threshold is selected accordingly. [BZ #23961] * math/auto-libm-test-in: Add new test case. * math/auto-libm-test-out-pow: Regenerated. * sysdeps/ieee754/flt-32/e_powf.c (__powf): Fix overflow check.
* Add narrowing divide functions.Joseph Myers2018-05-171-0/+74
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch adds the narrowing divide functions from TS 18661-1 to glibc's libm: fdiv, fdivl, ddivl, f32divf64, f32divf32x, f32xdivf64 for all configurations; f32divf64x, f32divf128, f64divf64x, f64divf128, f32xdivf64x, f32xdivf128, f64xdivf128 for configurations with _Float64x and _Float128; __nldbl_ddivl for ldbl-opt. The changes are mostly essentially the same as for the other narrowing functions, so the description of those generally applies to this patch as well. Tested for x86_64, x86, mips64 (all three ABIs, both hard and soft float) and powerpc, and with build-many-glibcs.py. * math/Makefile (libm-narrow-fns): Add div. (libm-test-funcs-narrow): Likewise. * math/Versions (GLIBC_2.28): Add narrowing divide functions. * math/bits/mathcalls-narrow.h (div): Use __MATHCALL_NARROW. * math/gen-auto-libm-tests.c (test_functions): Add div. * math/math-narrow.h (CHECK_NARROW_DIV): New macro. (NARROW_DIV_ROUND_TO_ODD): Likewise. (NARROW_DIV_TRIVIAL): Likewise. * sysdeps/ieee754/float128/float128_private.h (__fdivl): New macro. (__ddivl): Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add fdiv and ddiv. (CFLAGS-nldbl-ddiv.c): New variable. (CFLAGS-nldbl-fdiv.c): Likewise. * sysdeps/ieee754/ldbl-opt/Versions (GLIBC_2.28): Add __nldbl_ddivl. * sysdeps/ieee754/ldbl-opt/nldbl-compat.h (__nldbl_ddivl): New prototype. * manual/arith.texi (Misc FP Arithmetic): Document fdiv, fdivl, ddivl, fMdivfN, fMdivfNx, fMxdivfN and fMxdivfNx. * math/auto-libm-test-in: Add tests of div. * math/auto-libm-test-out-narrow-div: New generated file. * math/libm-test-narrow-div.inc: New file. * sysdeps/i386/fpu/s_f32xdivf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_f32xdivf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_fdiv.c: Likewise. * sysdeps/ieee754/float128/s_f32divf128.c: Likewise. * sysdeps/ieee754/float128/s_f64divf128.c: Likewise. * sysdeps/ieee754/float128/s_f64xdivf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_ddivl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_f64xdivf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fdivl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_ddivl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fdivl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_ddivl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fdivl.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-ddiv.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-fdiv.c: Likewise. * sysdeps/ieee754/soft-fp/s_ddivl.c: Likewise. * sysdeps/ieee754/soft-fp/s_fdiv.c: Likewise. * sysdeps/ieee754/soft-fp/s_fdivl.c: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/mach/hurd/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/riscv/rv64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
* Add narrowing multiply functions.Joseph Myers2018-05-161-0/+48
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch adds the narrowing multiply functions from TS 18661-1 to glibc's libm: fmul, fmull, dmull, f32mulf64, f32mulf32x, f32xmulf64 for all configurations; f32mulf64x, f32mulf128, f64mulf64x, f64mulf128, f32xmulf64x, f32xmulf128, f64xmulf128 for configurations with _Float64x and _Float128; __nldbl_dmull for ldbl-opt. The changes are mostly essentially the same as for the narrowing add functions, so the description of those generally applies to this patch as well. f32xmulf64 for i386 cannot use precision control as used for add and subtract, because that would result in double rounding for subnormal results, so that uses round-to-odd with long double intermediate result instead. The soft-fp support involves adding a new FP_TRUNC_COOKED since soft-fp multiplication uses cooked inputs and outputs. Tested for x86_64, x86, mips64 (all three ABIs, both hard and soft float) and powerpc, and with build-many-glibcs.py. * math/Makefile (libm-narrow-fns): Add mul. (libm-test-funcs-narrow): Likewise. * math/Versions (GLIBC_2.28): Add narrowing multiply functions. * math/bits/mathcalls-narrow.h (mul): Use __MATHCALL_NARROW. * math/gen-auto-libm-tests.c (test_functions): Add mul. * math/math-narrow.h (CHECK_NARROW_MUL): New macro. (NARROW_MUL_ROUND_TO_ODD): Likewise. (NARROW_MUL_TRIVIAL): Likewise. * soft-fp/op-common.h (FP_TRUNC_COOKED): Likewise. * sysdeps/ieee754/float128/float128_private.h (__fmull): New macro. (__dmull): Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add fmul and dmul. (CFLAGS-nldbl-dmul.c): New variable. (CFLAGS-nldbl-fmul.c): Likewise. * sysdeps/ieee754/ldbl-opt/Versions (GLIBC_2.28): Add __nldbl_dmull. * sysdeps/ieee754/ldbl-opt/nldbl-compat.h (__nldbl_dmull): New prototype. * manual/arith.texi (Misc FP Arithmetic): Document fmul, fmull, dmull, fMmulfN, fMmulfNx, fMxmulfN and fMxmulfNx. * math/auto-libm-test-in: Add tests of mul. * math/auto-libm-test-out-narrow-mul: New generated file. * math/libm-test-narrow-mul.inc: New file. * sysdeps/i386/fpu/s_f32xmulf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_f32xmulf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_fmul.c: Likewise. * sysdeps/ieee754/float128/s_f32mulf128.c: Likewise. * sysdeps/ieee754/float128/s_f64mulf128.c: Likewise. * sysdeps/ieee754/float128/s_f64xmulf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_dmull.c: Likewise. * sysdeps/ieee754/ldbl-128/s_f64xmulf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fmull.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_dmull.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmull.c: Likewise. * sysdeps/ieee754/ldbl-96/s_dmull.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fmull.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-dmul.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-fmul.c: Likewise. * sysdeps/ieee754/soft-fp/s_dmull.c: Likewise. * sysdeps/ieee754/soft-fp/s_fmul.c: Likewise. * sysdeps/ieee754/soft-fp/s_fmull.c: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/mach/hurd/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/riscv/rv64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
* Add narrowing subtract functions.Joseph Myers2018-03-201-0/+95
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch adds the narrowing subtract functions from TS 18661-1 to glibc's libm: fsub, fsubl, dsubl, f32subf64, f32subf32x, f32xsubf64 for all configurations; f32subf64x, f32subf128, f64subf64x, f64subf128, f32xsubf64x, f32xsubf128, f64xsubf128 for configurations with _Float64x and _Float128; __nldbl_dsubl for ldbl-opt. The changes are essentially the same as for the narrowing add functions, so the description of those generally applies to this patch as well. Tested for x86_64, x86, mips64 (all three ABIs, both hard and soft float) and powerpc, and with build-many-glibcs.py. * math/Makefile (libm-narrow-fns): Add sub. (libm-test-funcs-narrow): Likewise. * math/Versions (GLIBC_2.28): Add narrowing subtract functions. * math/bits/mathcalls-narrow.h (sub): Use __MATHCALL_NARROW. * math/gen-auto-libm-tests.c (test_functions): Add sub. * math/math-narrow.h (CHECK_NARROW_SUB): New macro. (NARROW_SUB_ROUND_TO_ODD): Likewise. (NARROW_SUB_TRIVIAL): Likewise. * sysdeps/ieee754/float128/float128_private.h (__fsubl): New macro. (__dsubl): Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add fsub and dsub. (CFLAGS-nldbl-dsub.c): New variable. (CFLAGS-nldbl-fsub.c): Likewise. * sysdeps/ieee754/ldbl-opt/Versions (GLIBC_2.28): Add __nldbl_dsubl. * sysdeps/ieee754/ldbl-opt/nldbl-compat.h (__nldbl_dsubl): New prototype. * manual/arith.texi (Misc FP Arithmetic): Document fsub, fsubl, dsubl, fMsubfN, fMsubfNx, fMxsubfN and fMxsubfNx. * math/auto-libm-test-in: Add tests of sub. * math/auto-libm-test-out-narrow-sub: New generated file. * math/libm-test-narrow-sub.inc: New file. * sysdeps/i386/fpu/s_f32xsubf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_f32xsubf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_fsub.c: Likewise. * sysdeps/ieee754/float128/s_f32subf128.c: Likewise. * sysdeps/ieee754/float128/s_f64subf128.c: Likewise. * sysdeps/ieee754/float128/s_f64xsubf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_dsubl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_f64xsubf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fsubl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_dsubl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fsubl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_dsubl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fsubl.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-dsub.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-fsub.c: Likewise. * sysdeps/ieee754/soft-fp/s_dsubl.c: Likewise. * sysdeps/ieee754/soft-fp/s_fsub.c: Likewise. * sysdeps/ieee754/soft-fp/s_fsubl.c: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/mach/hurd/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/riscv/rv64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
* Add narrowing add functions.Joseph Myers2018-02-101-0/+95
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch adds the narrowing add functions from TS 18661-1 to glibc's libm: fadd, faddl, daddl, f32addf64, f32addf32x, f32xaddf64 for all configurations; f32addf64x, f32addf128, f64addf64x, f64addf128, f32xaddf64x, f32xaddf128, f64xaddf128 for configurations with _Float64x and _Float128; __nldbl_daddl for ldbl-opt. As discussed for the build infrastructure patch, tgmath.h support is deliberately deferred, and FP_FAST_* macros are not applicable without optimized function implementations. Function implementations are added for all relevant pairs of formats (including certain cases of a format and itself where more than one type has that format). The main implementations use round-to-odd, or a trivial computation in the case where both formats are the same or where the wider format is IBM long double (in which case we don't attempt to be correctly rounding). The sysdeps/ieee754/soft-fp implementations use soft-fp, and are used automatically for configurations without exceptions and rounding modes by virtue of existing Implies files. As previously discussed, optimized versions for particular architectures are possible, but not included. i386 gets a special version of f32xaddf64 to avoid problems with double rounding (similar to the existing fdim version), since this function must round just once without an intermediate rounding to long double. (No such special version is needed for any other function, because the nontrivial functions use round-to-odd, which does the intermediate computation with the rounding mode set to round-to-zero, and double rounding is OK except in round-to-nearest mode, so is OK for that intermediate round-to-zero computation.) mul and div will need slightly different special versions for i386 (using round-to-odd on long double instead of precision control) because of the possibility of inexact intermediate results in the subnormal range for double. To reduce duplication among the different function implementations, math-narrow.h gets macros CHECK_NARROW_ADD, NARROW_ADD_ROUND_TO_ODD and NARROW_ADD_TRIVIAL. In the trivial cases and for any architecture-specific optimized implementations, the overhead of the errno setting might be significant, but I think that's best handled through compiler built-in functions rather than providing separate no-errno versions in glibc (and likewise there are no __*_finite entry points for these function provided, __*_finite effectively being no-errno versions at present in most cases). Tested for x86_64 and x86, with both GCC 6 and GCC 7. Tested for mips64 (all three ABIs, both hard and soft float) and powerpc with GCC 7. Tested with build-many-glibcs.py with both GCC 6 and GCC 7. * math/Makefile (libm-narrow-fns): Add add. (libm-test-funcs-narrow): Likewise. * math/Versions (GLIBC_2.28): Add narrowing add functions. * math/bits/mathcalls-narrow.h (add): Use __MATHCALL_NARROW . * math/gen-auto-libm-tests.c (test_functions): Add add. * math/math-narrow.h (CHECK_NARROW_ADD): New macro. (NARROW_ADD_ROUND_TO_ODD): Likewise. (NARROW_ADD_TRIVIAL): Likewise. * sysdeps/ieee754/float128/float128_private.h (__faddl): New macro. (__daddl): Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add fadd and dadd. (CFLAGS-nldbl-dadd.c): New variable. (CFLAGS-nldbl-fadd.c): Likewise. * sysdeps/ieee754/ldbl-opt/Versions (GLIBC_2.28): Add __nldbl_daddl. * sysdeps/ieee754/ldbl-opt/nldbl-compat.h (__nldbl_daddl): New prototype. * manual/arith.texi (Misc FP Arithmetic): Document fadd, faddl, daddl, fMaddfN, fMaddfNx, fMxaddfN and fMxaddfNx. * math/auto-libm-test-in: Add tests of add. * math/auto-libm-test-out-narrow-add: New generated file. * math/libm-test-narrow-add.inc: New file. * sysdeps/i386/fpu/s_f32xaddf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_f32xaddf64.c: Likewise. * sysdeps/ieee754/dbl-64/s_fadd.c: Likewise. * sysdeps/ieee754/float128/s_f32addf128.c: Likewise. * sysdeps/ieee754/float128/s_f64addf128.c: Likewise. * sysdeps/ieee754/float128/s_f64xaddf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_daddl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_f64xaddf128.c: Likewise. * sysdeps/ieee754/ldbl-128/s_faddl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_daddl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_faddl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_daddl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_faddl.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-dadd.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-fadd.c: Likewise. * sysdeps/ieee754/soft-fp/s_daddl.c: Likewise. * sysdeps/ieee754/soft-fp/s_fadd.c: Likewise. * sysdeps/ieee754/soft-fp/s_faddl.c: Likewise. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/mach/hurd/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist: Likewise. * sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/riscv/rv64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx32/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/tile/tilegx64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise. * sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2018-01-011-1/+1
| | | | | | | * All files with FSF copyright notices: Update copyright dates using scripts/update-copyrights. * locale/programs/charmap-kw.h: Regenerated. * locale/programs/locfile-kw.h: Likewise.
* XFAIL catan and catanh tests on ibm128Tulio Magno Quites Machado Filho2017-03-161-8/+8
| | | | | | | | | | | | | | | Mark 4 catan and catanh tests as xfail-rounding:ibm128-libgcc. After this patch all catan and catanh tests pass on ibm128. Regenerated auto-libm-test-out using gmp 6.1.2, mpfr 3.1.5 and upstream mpc (9ef8030e50), Tested on powerpc, powerpc64 and powerpc64le. * math/auto-libm-test-in: Mark some catan and catanh as xfail-rounding:ibm128-libgcc. * math/auto-libm-test-out-catan: Regenerate. * math/auto-libm-test-out-catanh: Likewise.
* Improve float range reduction accuracy near pi/2 (bug 21094).Joseph Myers2017-03-151-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | Bug 21094 reports 3ulp errors of cosf and tanf for certain arguments near pi/2 arising from the use of an insufficiently accurate range reduction. (To be clear, this is a quality-of-implementation issue relating to the apparent intent of those particular cosf and tanf implementations; 3ulp is within the general glibc accuracy goals, so not inherently a bug.) This patch fixes that error by making a wider range of cases use the existing more accurate range reduction for arguments close to pi/2. The wider range of values is still narrow enough for the "z -= pio2_2;" in the more accurate case to be exact, as the code expects. Tested for x86_64, x86 and mips64; no ulps updates needed (but at least on mips64, the larger ulps were seen if the tests were added without the substantive fix). [BZ #21094] * sysdeps/ieee754/flt-32/e_rem_pio2f.c (__ieee754_rem_pio2f): Use 24+24+24-bit pi for wider range of values around pi/2. * math/auto-libm-test-in: Add more tests of cos and tan. * math/auto-libm-test-out-cos: Regenerated. * math/auto-libm-test-out-tan: Likewise.
* Move tests of catan, catanh to auto-libm-test-*.Joseph Myers2017-02-171-0/+836
| | | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of catan and catanh with finite inputs (other than the divide-by-zero cases producing an exact infinity) to using the auto-libm-test machinery. Each of auto-libm-test-out-catan and auto-libm-test-out-catanh takes about three seconds to generate on my system (so in fact it wasn't necessary after all to defer the move to auto-libm-test-* until the output files were split up by function). Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of catan and catanh. * math/auto-libm-test-out-catan: New generated file. * math/auto-libm-test-out-catanh: Likewise. * math/libm-test-catan.inc (catan_test_data): Use AUTO_TESTS_c_c. Move tests with finite inputs, except divide-by-zero cases, to auto-libm-test-in. * math/libm-test-catanh.inc (catanh_test_data): Likewise. * math/Makefile (libm-test-funcs-auto): Add catan and catanh. (libm-test-funcs-noauto): Remove catan and catanh. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move tests of casin, casinh to auto-libm-test-*.Joseph Myers2017-02-171-0/+1174
| | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of casin and casinh with finite inputs to using the auto-libm-test machinery. Each of auto-libm-test-out-casin and auto-libm-test-out-casinh takes about 38 minutes to generate on my system because of MPC slowness on special cases that appear in the tests (with MPC 1.0.3; I don't know to what extent current MPC master might speed it up). Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of casin and casinh. * math/auto-libm-test-out-casin: New generated file. * math/auto-libm-test-out-casinh: Likewise. * math/libm-test-casin.inc (casin_test_data): Use AUTO_TESTS_c_c. Move tests with finite inputs to auto-libm-test-in. * math/libm-test-casinh.inc (casinh_test_data): Likewise. * math/Makefile (libm-test-funcs-auto): Add casin and casinh. (libm-test-funcs-noauto): Remove casin and casinh. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move tests of cacos, cacosh to auto-libm-test-*.Joseph Myers2017-02-171-0/+1169
| | | | | | | | | | | | | | | | | | | | | | | This patch moves tests of cacos and cacosh with finite inputs to using the auto-libm-test machinery. Each of auto-libm-test-out-cacos and auto-libm-test-out-cacosh takes about 80 minutes to generate on my system because of MPC slowness on special cases that appear in the tests (with MPC 1.0.3; I don't know to what extent current MPC master might speed it up). Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add tests of cacos and cacosh. * math/auto-libm-test-out-cacos: New generated file. * math/auto-libm-test-out-cacosh: Likewise. * math/libm-test-cacos.inc (cacos_test_data): Use AUTO_TESTS_c_c. Move tests with finite inputs to auto-libm-test-in. * math/libm-test-cacosh.inc (cacosh_test_data): Likewise. * math/Makefile (libm-test-funcs-auto): Add cacos and cacosh. (libm-test-funcs-noauto): Remove cacos and cacosh. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Move more csin, csinh tests to auto-libm-test-in.Joseph Myers2017-02-091-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | When I moved tests of csin and csinh to auto-libm-test-in, I didn't move a few tests for which gen-auto-libm-tests was very slow because of MPC slowness on certain inputs. Now that auto-libm-test-out has been split up, such slowness only affects regenerating the test expectations for the individual functions in question, rather than any addition of tests for any function to auto-libm-test-in. Thus, I no longer consider it a problem to have these inputs in auto-libm-test-in, and this patch moves them there. This results in test generation for csin and csinh taking 5m43s (for each of csin and csinh) on my system, while other functions are unaffected. I expect the test generation to be much faster in MPC 1.1 (the relevant performance improvements went in MPC mainline in Dec 2013, but there hasn't been a release from mainline since then). Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of csin and csinh. * math/auto-libm-test-out-csin: Regenerated. * math/auto-libm-test-out-csinh: Likewise. * math/libm-test-csin.inc (csin_test_data): Remove tests moved to auto-libm-test-in. * math/libm-test-csinh.inc (csinh_test_data): Likewise.
* Fix powf inaccuracy (bug 21112).Joseph Myers2017-02-071-0/+1
| | | | | | | | | | | | | | | | | | | | Bug 21112 reports a case where powf is substantially inaccurate. This results from a multiplication where cp_h*p_h is required to be exact, and p_h is masked to have only 12 leading nonzero bits in its mantissa, but the value of cp_h has the 13th bit nonzero, leading to inexact multiplication results in some cases that can result in large errors in the final result of powf. This patch fixes this by using a value of cp_h correctly rounded to nearest to 12 bits, with a corresponding updated value of cp_l. Tested for x86_64 and x86. [BZ #21112] * sysdeps/ieee754/flt-32/e_powf.c (cp_h): Use value with trailing 12 bits zero. (cp_l): Update for new value of cp_h. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out-pow: Regenerated.
* Improve libm-test XFAILing for ibm128-libgcc.Joseph Myers2017-01-091-188/+188
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch further improves XFAILing for ibm128-libgcc of tests in auto-libm-test-*. The bulk of the cases needing XFAILing are xfail-rounding:ibm128-libgcc used for inputs where (possibly after rounding the inputs to another floating-point type) the result overflows (and the result in non-default rounding modes may be wildly wrong with unpatched libgcc) or underflows near 0 (and the result in non-default rounding modes may end up having the wrong sign). This patch makes gen-auto-libm-tests detect such cases and apply xfail-rounding:ibm128-libgcc automatically to them, so most of the manual XFAILs in auto-libm-test-in are no longer needed (some are still needed if e.g. the result is very close to overflow, resulting in an internal overflow in libgcc in some rounding modes). A few manual XFAILs are added for cases not covered by this gen-auto-libm-tests change, and a few existing such XFAILs are left in. Tested for powerpc. * math/gen-auto-libm-tests.c (output_for_one_input_case): Apply xfail-rounding:ibm128-libgcc automatically to tests overflowing and those that can underflow to zero. * math/auto-libm-test-in: Remove most XFAILs for ibm128-libgcc and add others. * math/auto-libm-test-out: Regenerated.
* Update libm-test XFAILs for ibm128 format.Joseph Myers2017-01-041-213/+198
| | | | | | | | | | | | | | | | | | | | | | | | This patch cleans up and updates the libm-test XFAILs for the ibm128 format. More of them are changed to use a new ibm128-libgcc conditional, to reflect that they are not in fact needed if you've patched libgcc to fix the known issues (at substantial performance cost). Many additional XFAILs are added for tests that fail with unpatched libgcc (most but not all of them xfail-rounding). Note that further such fixes will be needed for test-ldouble actually to pass with default libgcc (in particular, XFAILs for pow tests and for various affected tests directly embedded in libm-test.inc). With patched libgcc, there may be a few XFAILs needed but the results are already substantially clean apart from a few ulps differences. Tested for powerpc. * math/libm-test.inc (TEST_COND_ibm128_libgcc): New macro. (init_max_error) [TEST_COND_ibm128]: Increase maximum error allowed to 16 ulps. * math/auto-libm-test-in: Change most XFAILs for ibm128 to use ibm128-libgcc. XFAIL more tests for ibm128-libgcc. * math/auto-libm-test-out: Regenerated.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2017-01-011-1/+1
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* Fix cos computation for multiple precision fallback (bz #20357)Siddhesh Poyarekar2016-07-181-0/+3
| | | | | | | | | | | | | | | | | | | | During the sincos consolidation I made two mistakes, one was a logical error due to which cos(0x1.8475e5afd4481p+0) returned sin(0x1.8475e5afd4481p+0) instead. The second issue was an error in negating inputs for the correct quadrants for sine. I could not find a suitable test case for this despite running a program to search for such an input for a couple of hours. Following patch fixes both issues. Tested on x86_64. Thanks to Matt Clay for identifying the issue. [BZ #20357] * sysdeps/ieee754/dbl-64/s_sin.c (sloww): Fix up condition to call __mpsin/__mpcos and to negate values. * math/auto-libm-test-in: Add test. * math/auto-libm-test-out: Regenerate.
* Remove type specific information from auto-libm-test-inPaul E. Murphy2016-06-081-57/+58
| | | | | | | | | | | | | Apply the following sed regexes to auto-libm-test-in in order: s/flt-32/binary32/ s/dbl-64/binary64/ s/ldbl-96-intel/intel96/ s/ldbl-96-m68k/m68k96/ s/ldbl-128ibm/ibm128/ s/ldbl-128/binary128/ and fixup ldbl-96 comment manually.
* Implement proper fmal for ldbl-128ibm (bug 13304).Joseph Myers2016-05-191-9/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ldbl-128ibm had an implementation of fmal that just did (x * y) + z in most cases, with no attempt at actually being a fused operation. This patch replaces it with a genuine fused operation. It is not necessarily correctly rounding, but should produce a result at least as accurate as the long double arithmetic operations in libgcc, which I think is all that can reasonably be expected for such a non-IEEE format where arithmetic is approximate rather than rounded according to any particular rule for determining the exact result. Like the libgcc arithmetic, it may produce spurious overflow and underflow results, and it falls back to the libgcc multiplication in the case of (finite, finite, zero). This concludes the fixes for bug 13304; any subsequently found fma issues should go in separate Bugzilla bugs. Various other pieces of bug 13304 were fixed in past releases over the past several years. Tested for powerpc. [BZ #13304] * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Include <fenv.h>, <float.h>, <math_private.h> and <stdlib.h>. (add_split): New function. (mul_split): Likewise. (ext_val): New typedef. (store_ext_val): New function. (mul_ext_val): New function. (compare): New function. (add_split_ext): New function. (__fmal): After checking for Inf, NaN and zero, compute result as an exact sum of scaled double values in round-to-nearest before adding those up and adjusting for other rounding modes. * math/auto-libm-test-in: Remove xfail-rounding:ldbl-128ibm from tests of fma. * math/auto-libm-test-out: Regenerated.
* Fix x86_64 / x86 powl inaccuracy for integer exponents (bug 19848).Joseph Myers2016-03-241-0/+38
| | | | | | | | | | | | | | | | | | | | | | | Bug 19848 reports cases where powl on x86 / x86_64 has error accumulation, for small integer exponents, larger than permitted by glibc's accuracy goals, at least in some rounding modes. This patch further restricts the exponent range for which the small-integer-exponent logic is used to limit the possible error accumulation. Tested for x86_64 and x86 and ulps updated accordingly. [BZ #19848] * sysdeps/i386/fpu/e_powl.S (p3): Rename to p2 and change value from 8 to 4. (__ieee754_powl): Compare integer exponent against 4 not 8. * sysdeps/x86_64/fpu/e_powl.S (p3): Rename to p2 and change value from 8 to 4. (__ieee754_powl): Compare integer exponent against 4 not 8. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/i686/fpu/multiarch/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2016-01-041-1/+1
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* Add more tests of pow.Joseph Myers2015-11-101-0/+1
| | | | | | | | | | | | | Prompted by a gcc-patches discussion, this patch adds tests of pow for the cases where pow (x, 0.5) is required to return a different result from sqrt (x), as those cases were previously missing from the tests (although they worked correctly). Tested for x86_64 and x86. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (pow_test_data): Add another test.
* Add more libm tests (scalb*, signbit, sin, sincos, sinh, sqrt, tan, tanh, ↵Joseph Myers2015-11-041-0/+72
| | | | | | | | | | | | | | | | | | | | | | | | | | | | tgamma, y0, y1, yn, significand). This patch improves the libm test coverage for a few more functions. Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of sin, sincos, sinh, sqrt, tan, tanh, y0, y1 and yn. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (scalb_test_data): Add more tests. (scalbn_test_data): Likewise. (scalbln_test_data): Likewise. (signbit_test_data): Likewise. (sin_test_data): Likewise. (sincos_test_data): Likewise. (sinh_test_data): Likewise. (sqrt_test_data): Likewise. (tan_test_data): Likewise. (tanh_test_data): Likewise. (tgamma_test_data): Likewise. (y0_test_data): Likewise. (y1_test_data): Likewise. (yn_test_data): Likewise. (significand_test_data): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Add more libm tests (ilogb, is*, j0, j1, jn, lgamma, log*).Joseph Myers2015-10-231-0/+45
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch improves the libm test coverage for a few more functions. Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of log, log10, log1p and log2. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (MAX_EXP): New macro. (ilogb_test_data): Add more tests. (isfinite_test_data): Likewise. (isgreater_test_data): Likewise. (isgreaterequal_test_data): Likewise. (isinf_test_data): Likewise. (isless_test_data): Likewise. (islessequal_test_data): Likewise. (islessgreater_test_data): Likewise. (isnan_test_data): Likewise. (isnormal_test_data): Likewise. (issignaling_test_data): Likewise. (isunordered_test_data): Likewise. (j0_test_data): Likewise. (j1_test_data): Likewise. (jn_test_data): Likewise. (lgamma_test_data): Likewise. (log_test_data): Likewise. (log10_test_data): Likewise. (log1p_test_data): Likewise. (log2_test_data): Likewise. (logb_test_data): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix j1, jn missing errno setting on underflow (bug 18611).Joseph Myers2015-10-231-15/+12
| | | | | | | | | | | | | | | | | | | | | | | | 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.
* Add more libm tests (fmod, fpclassify, frexp, hypot, ilogb, j0, j1, jn, log, ↵Joseph Myers2015-10-211-0/+64
| | | | | | | | | | | | | | | | | | | log10, log2). This patch improves the libm test coverage for a few more functions. Tested for x86_64 and x86. 2015-10-21 Joseph Myers <joseph@codesourcery.com> * math/auto-libm-test-in: Add more tests of hypot, j0, j1, jn, log, log10 and log2. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (fmod_test_data): Add more tests. (fpclassify_test_data): Likewise. (frexp_test_data): Likewise. (hypot_test_data): Likewise. (ilogb_test_data): Likewise.
* Fix ldbl-128 / ldbl-128ibm lgamma overflow handling (bug 16347, bug 19046).Joseph Myers2015-10-011-0/+18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | The ldbl-128 / ldbl-128ibm implementation of lgamma has problems with its handling of large arguments. It has an overflow threshold that is correct only for ldbl-128, despite being used for both types - with diagnostic control macros as a temporary measure to disable warnings about that constant overflowing for ldbl-128ibm - and it has a calculation that's roughly x * log(x) - x, resulting in overflows for arguments that are roughly at most a factor 1/log(threshold) below the overflow threshold. This patch fixes both issues, using an overflow threshold appropriate for the type in question and adding another case for large arguments that avoids the possible intermediate overflow. Tested for x86_64, x86, mips64 and powerpc. [BZ #16347] [BZ #19046] * sysdeps/ieee754/ldbl-128/e_lgammal_r.c: Do not include <libc-internal.h>. (MAXLGM): Do not use diagnostic control macros. [LDBL_MANT_DIG == 106] (MAXLGM): Change value to overflow threshold for ldbl-128ibm. (__ieee754_lgammal_r): For large arguments, multiply by log - 1 instead of multiplying by log then subtracting. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated.
* Improve test coverage of real libm functions [a-e]*.Joseph Myers2015-09-301-0/+290
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch improves test coverage of the real libm functions [a-e]*, ensuring that special cases and ranges of input values of potential significance (such as close to overflow and underflow thresholds) are more systematically covered. This is a followup to <https://sourceware.org/ml/libc-alpha/2013-12/msg00757.html> which covered [a-c]* (however, I found more weaknesses in the coverage of those functions when preparing this patch, hence the additional tests being added for them here). Addition of a test for acosh (-qNaN) is temporarily deferred, to be included as part of a fix for bug 19032 which was discovered in the course of adding these tests (and which illustrates the use of testing -qNaN as well as +qNaN as input even to functions for which the sign of a NaN isn't meant to be significant). Tested for x86_64 and x86. * math/auto-libm-test-in: Add more tests of acos, acosh, asin, atan, atan2, atanh, cbrt, cos, cosh, erf, erfc, exp, exp10, exp2 and expm1. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (acos_test_data): Add more tests. (asin_test_data): Likewise. (asinh_test_data): Likewise. (atan_test_data): Likewise. (atanh_test_data): Likewise. (atan2_test_data): Likewise. (cbrt_test_data): Likewise. (ceil_test_data): Likewise. (copysign_test_data): Likewise. (cos_test_data): Likewise. (cosh_test_data): Likewise. (erf_test_data): Likewise. (erfc_test_data): Likewise. (exp_test_data): Likewise. (exp10_test_data): Likewise. (exp2_test_data): Likewise. (expm1_test_data): Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix clog, clog10 inaccuracy (bug 19016).Joseph Myers2015-09-281-0/+90
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | For arguments with X^2 + Y^2 close to 1, clog and clog10 avoid large errors from log(hypot) by computing X^2 + Y^2 - 1 in a way that avoids cancellation error and then using log1p. However, the thresholds for using that approach still result in log being used on argument as large as sqrt(13/16) > 0.9, leading to significant errors, in some cases above the 9ulp maximum allowed in glibc libm. This patch arranges for the approach using log1p to be used in any cases where |X|, |Y| < 1 and X^2 + Y^2 >= 0.5 (with the existing allowance for cases where one of X and Y is very small), adjusting the __x2y2m1 functions to work with the wider range of inputs. This way, log only gets used on arguments below sqrt(1/2) (or substantially above 1), where the error involved is much less. Tested for x86_64, x86, mips64 and powerpc. For the ulps regeneration I removed the existing clog and clog10 ulps before regenerating to allow any reduced ulps to appear. Tests added include those found by random test generation to produce large ulps either before or after the patch, and some found by trying inputs close to the (0.75, 0.5) threshold where the potential errors from using log are largest. [BZ #19016] * sysdeps/generic/math_private.h (__x2y2m1f): Update comment to allow more cases with X^2 + Y^2 >= 0.5. * sysdeps/ieee754/dbl-64/x2y2m1.c (__x2y2m1): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * sysdeps/ieee754/dbl-64/x2y2m1f.c (__x2y2m1f): Update comment. * sysdeps/ieee754/ldbl-128/x2y2m1l.c (__x2y2m1l): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * sysdeps/ieee754/ldbl-128ibm/x2y2m1l.c (__x2y2m1l): Likewise. * sysdeps/ieee754/ldbl-96/x2y2m1.c [FLT_EVAL_METHOD != 0] (__x2y2m1): Update comment. * sysdeps/ieee754/ldbl-96/x2y2m1l.c (__x2y2m1l): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * math/s_clog.c (__clog): Handle more cases using log1p without hypot. * 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/auto-libm-test-in: Add more tests of clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix powf inaccuracy (bug 18956).Joseph Myers2015-09-261-0/+1
| | | | | | | | | | | | | | | | | | | | | | The flt-32 version of powf can be inaccurate because of bugs in the extra-precision calculation of (x-1)/(x+1) or (x-1.5)/(x+1.5) as part of calculating log(x) with extra precision: a constant used (as part of adding 1 or 1.5 through integer arithmetic) is incorrect, and then the code fails to mask a computed high part before using it in arithmetic that relies on s_h*t_h being exactly representable. This patch fixes these bugs. Tested for x86_64 and x86. x86_64 ulps for powf removed and regenerated to reflect reduced ulps from the increased accuracy for existing tests. [BZ #18956] * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Add 0x00400000 not 0x0040000 for high bit of mantissa. Mask with 0xfffff000 when extracting high part. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix pow missing underflows (bug 18825).Joseph Myers2015-09-251-0/+145
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, pow functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down (or, in the i386 case, converted from a wider evaluation format) are zero. This patch forces the exception in a similar way to previous fixes, thereby concluding the fixes for known bugs with missing underflow exceptions currently filed in Bugzilla. Tested for x86_64, x86, mips64 and powerpc. [BZ #18825] * sysdeps/i386/fpu/i386-math-asm.h (FLT_NARROW_EVAL_UFLOW_NONNAN): New macro. (DBL_NARROW_EVAL_UFLOW_NONNAN): Likewise. (LDBL_CHECK_FORCE_UFLOW_NONNAN): Likewise. * sysdeps/i386/fpu/e_pow.S: Use DEFINE_DBL_MIN. (__ieee754_pow): Use DBL_NARROW_EVAL_UFLOW_NONNAN instead of DBL_NARROW_EVAL, reloading the PIC register as needed. * sysdeps/i386/fpu/e_powf.S: Use DEFINE_FLT_MIN. (__ieee754_powf): Use FLT_NARROW_EVAL_UFLOW_NONNAN instead of FLT_NARROW_EVAL. Use separate return path for case when first argument is NaN. * sysdeps/i386/fpu/e_powl.S: Include <i386-math-asm.h>. Use DEFINE_LDBL_MIN. (__ieee754_powl): Use LDBL_CHECK_FORCE_UFLOW_NONNAN, reloading the PIC register. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Force underflow for subnormal result. * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Use math_check_force_underflow_nonneg. * sysdeps/x86/fpu/powl_helper.c (__powl_helper): Use math_check_force_underflow. * sysdeps/x86_64/fpu/x86_64-math-asm.h (LDBL_CHECK_FORCE_UFLOW_NONNAN): New macro. * sysdeps/x86_64/fpu/e_powl.S: Include <x86_64-math-asm.h>. Use DEFINE_LDBL_MIN. (__ieee754_powl): Use LDBL_CHECK_FORCE_UFLOW_NONNAN. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated.
* Fix hypot missing underflows (bug 18803).Joseph Myers2015-09-241-0/+7
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, hypot functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down (or, in the i386 case, converted from a wider evaluation format) are zero. This patch forces the exception in a similar way to previous fixes. Note that this issue cannot arise for implementations of hypotf using double (or wider) for intermediate evaluation (if hypotf should underflow, that means the double square root is being computed of some number of the form N*2^-298, for 0 < N < 2^46, which is exactly represented as a double, and whatever the rounding mode such a square root cannot have a mantissa with all zeroes after the initial 23 bits). Thus no changes are made to hypotf implementations in this patch, only to hypot and hypotl. Tested for x86_64, x86, mips64 and powerpc. [BZ #18803] * sysdeps/i386/fpu/e_hypot.S: Use DEFINE_DBL_MIN. (MO): New macro. (__ieee754_hypot) [PIC]: Load PIC register. (__ieee754_hypot): Use DBL_NARROW_EVAL_UFLOW_NONNEG instead of DBL_NARROW_EVAL. * sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Use math_check_force_underflow_nonneg in case where result might be tiny. * sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/powerpc/fpu/e_hypot.c (__ieee754_hypot): Likewise. * math/auto-libm-test-in: Add more tests of hypot. * math/auto-libm-test-out: Regenerated.
* Fix tgamma missing underflows (bug 18951).Joseph Myers2015-09-171-0/+41
| | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, tgamma functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down are zero. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, mips64 and powerpc. [BZ #18951] * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Force underflow exception for small results. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Likewise. * math/auto-libm-test-in: Add more tests of tgamma. * math/auto-libm-test-out: Regenerated.
* Fix ctan, ctanh missing underflows (bug 18595).Joseph Myers2015-09-151-10/+16
| | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, ctan and ctanh can fail to raise the underflow exception for some cases of results that are tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64 and x86. [BZ #18595] * math/s_ctan.c (__ctan): Force underflow exception for results whose real or imaginary part has small absolute value. * 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. * math/auto-libm-test-in: Do not allow missing underflow for ctan and ctanh. Add more tests of ctan and ctanh.
* Fix i386 exp10 missing underflows (bug 18966).Joseph Myers2015-09-151-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | On i386, the double version of exp10 can miss underflow exceptions if the result is in the subnormal range for double but the last 11 bits of the 64-bit extended-precision mantissa happen to be zero. This patch forces the exception in a similar way to previous fixes. As with the exp2 and exp fixes, the exp10f changes may in fact not be needed to ensure underflow exceptions, but are included for consistency and to fix the exp10 part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64 and x86. [BZ #18875] [BZ #18966] * sysdeps/i386/fpu/e_exp10.S (dbl_min): New object. (MO): New macro. (__ieee754_exp10): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp10f.S (flt_min): New object. (MO): New macro. (__ieee754_exp10f): For small results, force underflow exception and remove excess range and precision from return value. * math/auto-libm-test-in: Add more tests of exp10. * math/auto-libm-test-out: Regenerated.
* Fix i386 exp missing underflows (bug 18961).Joseph Myers2015-09-141-0/+11
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | On i386, the double version of exp can miss underflow exceptions if the result is in the subnormal range for double but the last 11 bits of the 64-bit extended-precision mantissa happen to be zero. This patch forces the exception in a similar way to previous fixes. As with the exp2 fixes, the expf changes may in fact not be needed to ensure underflow exceptions, but are included for consistency and to fix the exp part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64 and x86. [BZ #18875] [BZ #18961] * sysdeps/i386/fpu/e_exp.S (dbl_min): New object. (MO): New macro. (__ieee754_exp): For small results, force underflow exception and remove excess range and precision from return value. (__exp_finite): Likewise. * sysdeps/i386/fpu/e_expf.S (flt_min): New object. (MO): New macro. (__ieee754_expf): For small results, force underflow exception and remove excess range and precision from return value. (__expf_finite): Likewise. * math/auto-libm-test-in: Add more tests of exp. * math/auto-libm-test-out: Regenerated.
* Fix exp2 missing underflows (bug 16521).Joseph Myers2015-09-141-0/+23
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various exp2 implementations in glibc can miss underflow exceptions when the scaling down part of the calculation is exact (or, in the x86 case, when the conversion from extended precision to the target precision is exact). This patch forces the exception in a similar way to previous fixes. The x86 exp2f changes may in fact not be needed for this purpose - it's likely to be the case that no argument of type float has an exp2 result so close to an exact subnormal float value that it equals that value when rounded to 64 bits (even taking account of variation between different x86 implementations). However, they are included for consistency with the changes to exp2 and so as to fix the exp2f part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64, x86 and mips64. [BZ #16521] [BZ #18875] * math/e_exp2l.c (__ieee754_exp2l): Force underflow exception for small results. * sysdeps/i386/fpu/e_exp2.S (dbl_min): New object. (MO): New macro. (__ieee754_exp2): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp2f.S (flt_min): New object. (MO): New macro. (__ieee754_exp2f): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp2l.S (ldbl_min): New object. (MO): New macro. (__ieee754_exp2l): Force underflow exception for small results. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise. * sysdeps/x86_64/fpu/e_exp2l.S (ldbl_min): New object. (MO): New macro. (__ieee754_exp2l): Force underflow exception for small results. * math/auto-libm-test-in: Add more tests or exp2. * math/auto-libm-test-out: Regenerated.
* Add more random libm test inputs (mainly for ldbl-128).Joseph Myers2015-09-121-0/+62
| | | | | | | | | | | | | | | | | | | | | This patch adds more libm test inputs found through random test generation to increase previously known ulps. This particular test generation was run for mips64, so most of the increased ulps are for ldbl-128 (float and double having been fairly well covered by such testing for x86_64), but there's the odd ulps increase for other formats. Tested for x86_64, x86 and mips64. * math/auto-libm-test-in: Add more tests of acos, acosh, asin, asinh, atan, atan2, atanh, cabs, carg, cos, csqrt, erfc, exp, exp10, exp2, log, log1p, log2, pow, sin, sincos, sinh, tan and tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/mips/mips32/libm-test-ulps: Likewise. * sysdeps/mips/mips64/libm-test-ulps: Likewise. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
generated by cgit-pink 1.4.1 (git 2.36.1) at 2024-06-30 19:52:17 +0000