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* Patch to require Python 3.4 or later to build glibc.Joseph Myers2018-10-291-10/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | This patch makes Python 3.4 or later a required tool for building glibc, so allowing changes of awk, perl etc. code used in the build and test to Python code without any such changes needing makefile conditionals or to handle older Python versions. This patch makes the configure test for Python check the version and give an error if Python is missing or too old, and removes makefile conditionals that are no longer needed. It does not itself convert any code from another language to Python, and does not remove any compatibility with older Python versions from existing scripts. Tested for x86_64. * configure.ac (PYTHON_PROG): Use AC_CHECK_PROG_VER. Set critic_missing for versions before 3.4. * configure: Regenerated. * manual/install.texi (Tools for Compilation): Document requirement for Python to build glibc. * INSTALL: Regenerated. * Rules [PYTHON]: Make code unconditional. * benchtests/Makefile [PYTHON]: Likewise. * conform/Makefile [PYTHON]: Likewise. * manual/Makefile [PYTHON]: Likewise. * math/Makefile [PYTHON]: Likewise.
* Use gen-libm-test.py to generate ulps table for manual.Joseph Myers2018-10-241-0/+96
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch extends gen-libm-test.py to generate the ulps table for the manual, so meaning there is only a single ulps file parser needed and another Perl script is eliminated. As with the introduction of gen-libm-test.py, this is designed to generate exactly the same libm-err.texi as libm-err-tab.pl did. (gen-libm-test.py is still shorter in lines than the old gen-libm-test.pl even after this patch.) Note that this introduces a Python dependency for building the manual, which is thus noted in install.texi and NEWS. Tested building html / info / pdf versions of the manual. * math/gen-libm-test.py: Import os. (ALL_FLOATS_MANUAL): New constant. (ALL_FLOATS_SUFFIX): Likewise. (Ulps.all_functions): New function. (real_all_ulps): Likewise. (generate_err_table_sub): Likewise. (generate_err_table): Likewise. (main): Handle -s and -m options. * manual/libm-err-tab.pl: Remove. * manual/Makefile ($(objpfx)stamp-libm-err): Use gen-libm-test.py instead of libm-err-tab.pl. [$(PERL) != no]: Change condition to [$(if $(PYTHON),$(PERL),no) != no]. * manual/install.texi (Tools for Compilation): Document requirement for Python to build manual. * INSTALL: Regenerated.
* Do not allow divide-by-zero exception for pow(+/- 0, -Inf).Joseph Myers2018-10-171-2/+7
| | | | | | | | | | | | | | | | | C99 wrongly specified a divide-by-zero exception for pow(+/- 0, -Inf); C11 made it optional after this was pointed out, and the permission for this exception has been removed in the current C2x draft. This patch makes the glibc pow tests reflect the stricter requirement (which follows the normal IEEE rules that a divide-by-zero exception is for the case of exact infinite results from *finite* operands, not for such results when any operand is infinite). Tested for x86_64 and x86. (If any other pow implementation in glibc, not exercised on those architectures, turns out to fail the stricter test, it should be fixed to avoid the exception in this case.) * math/libm-test-pow.inc (pow_test_data): Do not allow divide-by-zero exception for pow(+/- 0, -Inf).
* Add more fma tests.Joseph Myers2018-10-021-0/+193
| | | | | | | | | | | | | | | | | | In my review <https://sourceware.org/ml/libc-alpha/2018-06/msg00375.html> of a patch for bug 23584, I expressed concern that the proposed changes didn't deal with certain cases similar to the ones in the bug but where test coverage was missing. This patch adds such tests of fma (Inf, finite, finite) and fma (finite, Inf, finite) to libm-test-fma.inc. It does *not* do anything to fix the bug, simply adds test coverage to provide stronger evidence of whether any proposed revised fix does address the cases I was concerned with. Tested for x86_64 and x86. * math/libm-test-fma.inc (fma_test_data): Add more tests.
* Remove unnecessary math_private.h includes.Joseph Myers2018-09-2814-14/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | After my changes to move various macros, inlines and other content from math_private.h to more specific headers, many files including math_private.h no longer need to do so. Furthermore, since the optimized inlines of various functions have been moved to include/fenv.h or replaced by use of function names GCC inlines automatically, a missing math_private.h include where one is appropriate will reliably cause a build failure rather than possibly causing code to be less well optimized while still building successfully. Thus, this patch removes includes of math_private.h that are now unnecessary. In the case of two RISC-V files, the include is replaced by one of stdbool.h because the files in question were relying on math_private.h to get a definition of bool. Tested for x86_64 and x86, and with build-many-glibcs.py. * math/fromfp.h: Do not include <math_private.h>. * math/s_cacosh_template.c: Likewise. * math/s_casin_template.c: Likewise. * math/s_casinh_template.c: Likewise. * math/s_ccos_template.c: Likewise. * math/s_cproj_template.c: Likewise. * math/s_fdim_template.c: Likewise. * math/s_fmaxmag_template.c: Likewise. * math/s_fminmag_template.c: Likewise. * math/s_iseqsig_template.c: Likewise. * math/s_ldexp_template.c: Likewise. * math/s_nextdown_template.c: Likewise. * math/w_log1p_template.c: Likewise. * math/w_scalbln_template.c: Likewise. * sysdeps/aarch64/fpu/feholdexcpt.c: Likewise. * sysdeps/aarch64/fpu/fesetround.c: Likewise. * sysdeps/aarch64/fpu/fgetexcptflg.c: Likewise. * sysdeps/aarch64/fpu/ftestexcept.c: Likewise. * sysdeps/aarch64/fpu/s_llrint.c: Likewise. * sysdeps/aarch64/fpu/s_llrintf.c: Likewise. * sysdeps/aarch64/fpu/s_lrint.c: Likewise. * sysdeps/aarch64/fpu/s_lrintf.c: Likewise. * sysdeps/i386/fpu/s_atanl.c: Likewise. * sysdeps/i386/fpu/s_f32xaddf64.c: Likewise. * sysdeps/i386/fpu/s_f32xsubf64.c: Likewise. * sysdeps/i386/fpu/s_fdim.c: Likewise. * sysdeps/i386/fpu/s_logbl.c: Likewise. * sysdeps/i386/fpu/s_rintl.c: Likewise. * sysdeps/i386/fpu/s_significandl.c: Likewise. * sysdeps/ia64/fpu/s_matherrf.c: Likewise. * sysdeps/ia64/fpu/s_matherrl.c: Likewise. * sysdeps/ieee754/dbl-64/s_atan.c: Likewise. * sysdeps/ieee754/dbl-64/s_cbrt.c: Likewise. * sysdeps/ieee754/dbl-64/s_fma.c: Likewise. * sysdeps/ieee754/dbl-64/s_fmaf.c: Likewise. * sysdeps/ieee754/flt-32/s_cbrtf.c: Likewise. * sysdeps/ieee754/k_standardf.c: Likewise. * sysdeps/ieee754/k_standardl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_copysignl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_finitel.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_fpclassifyl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_isinfl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_isnanl.c: Likewise. * sysdeps/ieee754/ldbl-64-128/s_signbitl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_cbrtl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fma.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c: Likewise. * sysdeps/ieee754/s_signgam.c: Likewise. * sysdeps/powerpc/power5+/fpu/s_modf.c: Likewise. * sysdeps/powerpc/power5+/fpu/s_modff.c: Likewise. * sysdeps/powerpc/power7/fpu/s_logbf.c: Likewise. * sysdeps/riscv/rv64/rvd/s_ceil.c: Likewise. * sysdeps/riscv/rv64/rvd/s_floor.c: Likewise. * sysdeps/riscv/rv64/rvd/s_nearbyint.c: Likewise. * sysdeps/riscv/rv64/rvd/s_round.c: Likewise. * sysdeps/riscv/rv64/rvd/s_roundeven.c: Likewise. * sysdeps/riscv/rv64/rvd/s_trunc.c: Likewise. * sysdeps/riscv/rvd/s_finite.c: Likewise. * sysdeps/riscv/rvd/s_fmax.c: Likewise. * sysdeps/riscv/rvd/s_fmin.c: Likewise. * sysdeps/riscv/rvd/s_fpclassify.c: Likewise. * sysdeps/riscv/rvd/s_isinf.c: Likewise. * sysdeps/riscv/rvd/s_isnan.c: Likewise. * sysdeps/riscv/rvd/s_issignaling.c: Likewise. * sysdeps/riscv/rvf/fegetround.c: Likewise. * sysdeps/riscv/rvf/feholdexcpt.c: Likewise. * sysdeps/riscv/rvf/fesetenv.c: Likewise. * sysdeps/riscv/rvf/fesetround.c: Likewise. * sysdeps/riscv/rvf/feupdateenv.c: Likewise. * sysdeps/riscv/rvf/fgetexcptflg.c: Likewise. * sysdeps/riscv/rvf/ftestexcept.c: Likewise. * sysdeps/riscv/rvf/s_ceilf.c: Likewise. * sysdeps/riscv/rvf/s_finitef.c: Likewise. * sysdeps/riscv/rvf/s_floorf.c: Likewise. * sysdeps/riscv/rvf/s_fmaxf.c: Likewise. * sysdeps/riscv/rvf/s_fminf.c: Likewise. * sysdeps/riscv/rvf/s_fpclassifyf.c: Likewise. * sysdeps/riscv/rvf/s_isinff.c: Likewise. * sysdeps/riscv/rvf/s_isnanf.c: Likewise. * sysdeps/riscv/rvf/s_issignalingf.c: Likewise. * sysdeps/riscv/rvf/s_nearbyintf.c: Likewise. * sysdeps/riscv/rvf/s_roundevenf.c: Likewise. * sysdeps/riscv/rvf/s_roundf.c: Likewise. * sysdeps/riscv/rvf/s_truncf.c: Likewise. * sysdeps/riscv/rv64/rvd/s_rint.c: Include <stdbool.h> instead of <math_private.h>. * sysdeps/riscv/rvf/s_rintf.c: Likewise.
* Use copysign functions not __copysign functions in glibc libm.Joseph Myers2018-09-272-18/+18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Continuing the move to use, within libm, public names for libm functions that can be inlined as built-in functions on many architectures, this patch moves calls to __copysign functions to call the corresponding copysign names instead, with asm redirection to __copysign when the calls are not inlined (all cases are inlined except for IBM long double for powerpc soft-float / e500v1). This eliminates the need for an inline function defining __copysign in terms of __builtin_copysign. Tested for x86_64, and with build-many-glibcs.py. * include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (MATH_REDIRECT_BINARY_ARGS): New macro. [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (copysign): Redirect using MATH_REDIRECT. * sysdeps/alpha/fpu/s_copysign.c: Define NO_MATH_REDIRECT before header inclusion. * sysdeps/alpha/fpu/s_copysignf.c: Likewise. * sysdeps/ieee754/dbl-64/s_copysign.c: Likewise. * sysdeps/ieee754/float128/s_copysignf128.c: Likewise. * sysdeps/ieee754/flt-32/s_copysignf.c: Likewise. * sysdeps/ieee754/ldbl-128/s_copysignl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_copysignl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_copysignl.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_copysign.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_copysignf.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_copysign.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_copysignf.c: Likewise. * sysdeps/riscv/rvd/s_copysign.c: Likewise. * sysdeps/riscv/rvf/s_copysignf.c: Likewise. * sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_copysign.c: Likewise. * sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_copysignf.c: Likewise. * sysdeps/generic/math_private_calls.h [!__MATH_DECLARING_LONG_DOUBLE || !NO_LONG_DOUBLE] (__copysign): Do not declare and define as an inline function. * math/divtc3.c (__divtc3): Use copysign functions instead of __copysign variants. * math/multc3.c (__multc3): Likewise. * sysdeps/generic/math-type-macros.h (M_COPYSIGN): Likewise. * sysdeps/ieee754/dbl-64/e_atan2.c (signArctan2): Likewise. * sysdeps/ieee754/dbl-64/e_atanh.c (__ieee754_atanh): Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. (__ieee754_yn): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c (__asinh): Likewise. * sysdeps/ieee754/dbl-64/s_atan.c (__signArctan): Likewise. * sysdeps/ieee754/dbl-64/s_scalbln.c (__scalbln): Likewise. * sysdeps/ieee754/dbl-64/s_scalbn.c (__scalbn): Likewise. * sysdeps/ieee754/dbl-64/s_sin.c (do_sin): Likewise. (__sin): Likewise. * sysdeps/ieee754/dbl-64/s_sincos.c (__sincos): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c (__nearbyint): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_scalbln.c (__scalbln): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_scalbn.c (__scalbn): Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c (__ieee754_atanhf): Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. (__ieee754_ynf): Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c (__asinhf): Likewise. * sysdeps/ieee754/flt-32/s_scalbnf.c (__scalbnf): Likewise. * sysdeps/ieee754/k_standard.c (__kernel_standard): Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldbl-128/s_scalblnl.c (__scalblnl): Likewise. * sysdeps/ieee754/ldbl-128/s_scalbnl.c (__scalbnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. (__ieee754_ynl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmal.c (__fmal): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalblnl.c (__scalblnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c (__scalbnl): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. (__ieee754_ynl) * sysdeps/ieee754/ldbl-96/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-96/s_scalblnl.c (__scalblnl): Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-copysign.c (copysignl): Likewise. * sysdeps/powerpc/power5+/fpu/s_modf.c (__modf): Likewise. * sysdeps/powerpc/power5+/fpu/s_modff.c (__modff): Likewise.
* Add new pow implementationSzabolcs Nagy2018-09-191-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The algorithm is exp(y * log(x)), where log(x) is computed with about 1.3*2^-68 relative error (1.5*2^-68 without fma), returning the result in two doubles, and the exp part uses the same algorithm (and lookup tables) as exp, but takes the input as two doubles and a sign (to handle negative bases with odd integer exponent). The __exp1 internal symbol is no longer necessary. There is separate code path when fma is not available but the worst case error is about 0.54 ULP in both cases. The lookup table and consts for log are 4168 bytes. The .rodata+.text is decreased by 37908 bytes on aarch64. The non-nearest rounding error is less than 1 ULP. Improvements on Cortex-A72 compared to current glibc master: pow thruput: 2.40x in [0.01 11.1]x[0.01 11.1] pow latency: 1.84x in [0.01 11.1]x[0.01 11.1] Tested on aarch64-linux-gnu (defined __FP_FAST_FMA, TOINT_INTRINSICS) and arm-linux-gnueabihf (!defined __FP_FAST_FMA, !TOINT_INTRINSICS) and x86_64-linux-gnu (!defined __FP_FAST_FMA, !TOINT_INTRINSICS) and powerpc64le-linux-gnu (defined __FP_FAST_FMA, !TOINT_INTRINSICS) targets. * NEWS: Mention pow improvements. * math/Makefile (type-double-routines): Add e_pow_log_data. * sysdeps/generic/math_private.h (__exp1): Remove. * sysdeps/i386/fpu/e_pow_log_data.c: New file. * sysdeps/ia64/fpu/e_pow_log_data.c: New file. * sysdeps/ieee754/dbl-64/Makefile (CFLAGS-e_pow.c): Allow fma contraction. * sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove. (exp_inline): Remove. (__ieee754_exp): Only single double input is handled. * sysdeps/ieee754/dbl-64/e_pow.c: Rewrite. * sysdeps/ieee754/dbl-64/e_pow_log_data.c: New file. * sysdeps/ieee754/dbl-64/math_config.h (issignaling_inline): Define. (__pow_log_data): Define. * sysdeps/ieee754/dbl-64/upow.h: Remove. * sysdeps/ieee754/dbl-64/upow.tbl: Remove. * sysdeps/m68k/m680x0/fpu/e_pow_log_data.c: New file. * sysdeps/x86_64/fpu/multiarch/Makefile (CFLAGS-e_pow-fma.c): Allow fma contraction. (CFLAGS-e_pow-fma4.c): Likewise.
* Use rint functions not __rint functions in glibc libm.Joseph Myers2018-09-143-3/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Continuing the move to use, within libm, public names for libm functions that can be inlined as built-in functions on many architectures, this patch moves calls to __rint functions to call the corresponding rint names instead, with asm redirection to __rint when the calls are not inlined. The x86_64 math_private.h is removed as no longer useful after this patch. This patch is relative to a tree with my floor patch <https://sourceware.org/ml/libc-alpha/2018-09/msg00148.html> applied, and much the same considerations arise regarding possibly replacing an IFUNC call with a direct inline expansion. Tested for x86_64, and with build-many-glibcs.py. * include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (rint): Redirect using MATH_REDIRECT. * sysdeps/aarch64/fpu/s_rint.c: Define NO_MATH_REDIRECT before header inclusion. * sysdeps/aarch64/fpu/s_rintf.c: Likewise. * sysdeps/alpha/fpu/s_rint.c: Likewise. * sysdeps/alpha/fpu/s_rintf.c: Likewise. * sysdeps/i386/fpu/s_rintl.c: Likewise. * sysdeps/ieee754/dbl-64/s_rint.c: Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_rint.c: Likewise. * sysdeps/ieee754/float128/s_rintf128.c: Likewise. * sysdeps/ieee754/flt-32/s_rintf.c: Likewise. * sysdeps/ieee754/ldbl-128/s_rintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_rintl.c: Likewise. * sysdeps/m68k/coldfire/fpu/s_rint.c: Likewise. * sysdeps/m68k/coldfire/fpu/s_rintf.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_rint.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_rintf.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_rintl.c: Likewise. * sysdeps/powerpc/fpu/s_rint.c: Likewise. * sysdeps/powerpc/fpu/s_rintf.c: Likewise. * sysdeps/riscv/rv64/rvd/s_rint.c: Likewise. * sysdeps/riscv/rvf/s_rintf.c: Likewise. * sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_rint.c: Likewise. * sysdeps/sparc/sparc32/sparcv9/fpu/multiarch/s_rintf.c: Likewise. * sysdeps/sparc/sparc64/fpu/multiarch/s_rint.c: Likewise. * sysdeps/sparc/sparc64/fpu/multiarch/s_rintf.c: Likewise. * sysdeps/x86_64/fpu/multiarch/s_rint.c: Likewise. * sysdeps/x86_64/fpu/multiarch/s_rintf.c: Likewise. * sysdeps/x86_64/fpu/math_private.h: Remove file. * math/e_scalb.c (invalid_fn): Use rint functions instead of __rint variants. * math/e_scalbf.c (invalid_fn): Likewise. * math/e_scalbl.c (invalid_fn): Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/k_standard.c (__kernel_standard): Likewise. * sysdeps/ieee754/k_standardl.c (__kernel_standard_l): 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. * sysdeps/powerpc/powerpc32/fpu/s_llrint.c (__llrint): Likewise. * sysdeps/powerpc/powerpc32/fpu/s_llrintf.c (__llrintf): Likewise.
* Use floor functions not __floor functions in glibc libm.Joseph Myers2018-09-1410-10/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to the changes that were made to call sqrt functions directly in glibc, instead of __ieee754_sqrt variants, so that the compiler could inline them automatically without needing special inline definitions in lots of math_private.h headers, this patch makes libm code call floor functions directly instead of __floor variants, removing the inlines / macros for x86_64 (SSE4.1) and powerpc (POWER5). The redirection used to ensure that __ieee754_sqrt does still get called when the compiler doesn't inline a built-in function expansion is refactored so it can be applied to other functions; the refactoring is arranged so it's not limited to unary functions either (it would be reasonable to use this mechanism for copysign - removing the inline in math_private_calls.h but also eliminating unnecessary local PLT entry use in the cases (powerpc soft-float and e500v1, for IBM long double) where copysign calls don't get inlined). The point of this change is that more architectures can get floor calls inlined where they weren't previously (AArch64, for example), without needing special inline definitions in their math_private.h, and existing such definitions in math_private.h headers can be removed. Note that it's possible that in some cases an inline may be used where an IFUNC call was previously used - this is the case on x86_64, for example. I think the direct calls to floor are still appropriate; if there's any significant performance cost from inline SSE2 floor instead of an IFUNC call ending up with SSE4.1 floor, that indicates that either the function should be doing something else that's faster than using floor at all, or it should itself have IFUNC variants, or that the compiler choice of inlining for generic tuning should change to allow for the possibility that, by not inlining, an SSE4.1 IFUNC might be called at runtime - but not that glibc should avoid calling floor internally. (After all, all the same considerations would apply to any user program calling floor, where it might either be inlined or left as an out-of-line call allowing for a possible IFUNC.) Tested for x86_64, and with build-many-glibcs.py. * include/math.h [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (MATH_REDIRECT): New macro. [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (MATH_REDIRECT_LDBL): Likewise. [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (MATH_REDIRECT_F128): Likewise. [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (MATH_REDIRECT_UNARY_ARGS): Likewise. [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (sqrt): Redirect using MATH_REDIRECT. [!_ISOMAC && !(__FINITE_MATH_ONLY__ && __FINITE_MATH_ONLY__ > 0) && !NO_MATH_REDIRECT] (floor): Likewise. * sysdeps/aarch64/fpu/s_floor.c: Define NO_MATH_REDIRECT before header inclusion. * sysdeps/aarch64/fpu/s_floorf.c: Likewise. * sysdeps/ieee754/dbl-64/s_floor.c: Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_floor.c: Likewise. * sysdeps/ieee754/float128/s_floorf128.c: Likewise. * sysdeps/ieee754/flt-32/s_floorf.c: Likewise. * sysdeps/ieee754/ldbl-128/s_floorl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_floorl.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_floor_template.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_floor.c: Likewise. * sysdeps/powerpc/powerpc32/power4/fpu/multiarch/s_floorf.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_floor.c: Likewise. * sysdeps/powerpc/powerpc64/fpu/multiarch/s_floorf.c: Likewise. * sysdeps/riscv/rv64/rvd/s_floor.c: Likewise. * sysdeps/riscv/rvf/s_floorf.c: Likewise. * sysdeps/sparc/sparc64/fpu/multiarch/s_floor.c: Likewise. * sysdeps/sparc/sparc64/fpu/multiarch/s_floorf.c: Likewise. * sysdeps/x86_64/fpu/multiarch/s_floor.c: Likewise. * sysdeps/x86_64/fpu/multiarch/s_floorf.c: Likewise. * sysdeps/powerpc/fpu/math_private.h [_ARCH_PWR5X] (__floor): Remove macro. [_ARCH_PWR5X] (__floorf): Likewise. * sysdeps/x86_64/fpu/math_private.h [__SSE4_1__] (__floor): Remove inline function. [__SSE4_1__] (__floorf): Likewise. * math/w_lgamma_main.c (LGFUNC (__lgamma)): Use floor functions instead of __floor variants. * math/w_lgamma_r_compat.c (__lgamma_r): Likewise. * math/w_lgammaf_main.c (LGFUNC (__lgammaf)): Likewise. * math/w_lgammaf_r_compat.c (__lgammaf_r): Likewise. * math/w_lgammal_main.c (LGFUNC (__lgammal)): Likewise. * math/w_lgammal_r_compat.c (__lgammal_r): Likewise. * math/w_tgamma_compat.c (__tgamma): Likewise. * math/w_tgamma_template.c (M_DECL_FUNC (__tgamma)): Likewise. * math/w_tgammaf_compat.c (__tgammaf): Likewise. * math/w_tgammal_compat.c (__tgammal): Likewise. * sysdeps/ieee754/dbl-64/e_lgamma_r.c (sin_pi): Likewise. * sysdeps/ieee754/dbl-64/k_rem_pio2.c (__kernel_rem_pio2): Likewise. * sysdeps/ieee754/dbl-64/lgamma_neg.c (__lgamma_neg): Likewise. * sysdeps/ieee754/flt-32/e_lgammaf_r.c (sin_pif): Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c (__lgamma_negf): Likewise. * sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Likewise. * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128/lgamma_negl.c (__lgamma_negl): Likewise. * sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_lgammal_r.c (__ieee754_lgammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128ibm/lgamma_negl.c (__lgamma_negl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (__expm1l): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_truncl.c (__truncl): Likewise. * sysdeps/ieee754/ldbl-96/e_lgammal_r.c (sin_pi): Likewise. * sysdeps/ieee754/ldbl-96/lgamma_negl.c (__lgamma_negl): Likewise. * sysdeps/powerpc/power5+/fpu/s_modf.c (__modf): Likewise. * sysdeps/powerpc/power5+/fpu/s_modff.c (__modff): Likewise.
* Add new log2 implementationSzabolcs Nagy2018-09-121-1/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar algorithm is used as in log: log2(2^k x) = k + log2(c) + log2(x/c) where the last term is approximated by a polynomial of x/c - 1, the first order coefficient is about 1/ln2 in this case. There is separate code path when fma instruction is not available for computing x/c - 1 precisely, for which the table size is doubled. The worst case error is 0.547 ULP (0.55 without fma), the read only global data size is 1168 bytes (2192 without fma) on aarch64. The non-nearest rounding error is less than 1 ULP. Improvements on Cortex-A72 compared to current glibc master: log2 thruput: 2.00x in [0.01 11.1] log2 latency: 2.04x in [0.01 11.1] log2 thruput: 2.17x in [0.999 1.001] log2 latency: 2.88x in [0.999 1.001] Tested on aarch64-linux-gnu (defined __FP_FAST_FMA) arm-linux-gnueabihf (!defined __FP_FAST_FMA) x86_64-linux-gnu (!defined __FP_FAST_FMA) powerpc64le-linxu-gnu (defined __FP_FAST_FMA) targets. * NEWS: Mention log2 improvements. * math/Makefile (type-double-routines): Add e_log2_data. * sysdeps/i386/fpu/e_log2_data.c: New file. * sysdeps/ia64/fpu/e_log2_data.c: New file. * sysdeps/ieee754/dbl-64/e_log2.c: Rewrite. * sysdeps/ieee754/dbl-64/e_log2_data.c: New file. * sysdeps/ieee754/dbl-64/math_config.h (__log2_data): Add. * sysdeps/ieee754/dbl-64/wordsize-64/e_log2.c: Remove. * sysdeps/m68k/m680x0/fpu/e_log2_data.c: New file.
* Add new log implementationSzabolcs Nagy2018-09-121-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Optimized log using carefully generated lookup table with 1/c and log(c) values for small intervalls around 1. The log(c) is very near a double precision value, it has about 62 bits precision. The algorithm is log(2^k x) = k log(2) + log(c) + log(x/c), where the last term is approximated by a polynomial of x/c - 1. Near 1 a single polynomial of x - 1 is used. There is separate code path when fma instruction is not available for computing x/c - 1 precisely, in which case the table size is doubled. The code uses __builtin_fma under __FP_FAST_FMA to ensure it is inlined as an instruction. With the default configuration settings the worst case error is 0.519 ULP (and 0.520 without fma), the rodata size is 2192 bytes (4240 without fma). The non-nearest rounding error is less than 1 ULP. Improvements on Cortex-A72 compared to current glibc master: log thruput: 3.28x in [0.01 11.1] log latency: 2.23x in [0.01 11.1] log thruput: 1.56x in [0.999 1.001] log latency: 1.57x in [0.999 1.001] Tested on aarch64-linux-gnu (defined __FP_FAST_FMA) arm-linux-gnueabihf (!defined __FP_FAST_FMA) x86_64-linux-gnu (!defined __FP_FAST_FMA) powerpc64le-linux-gnu (defined __FP_FAST_FMA) targets. * NEWS: Mention log improvement. * math/Makefile (type-double-routines): Add e_log_data. * sysdeps/i386/fpu/e_log_data.c: New file. * sysdeps/ia64/fpu/e_log_data.c: New file. * sysdeps/ieee754/dbl-64/e_log.c: Rewrite. * sysdeps/ieee754/dbl-64/e_log_data.c: New file. * sysdeps/ieee754/dbl-64/math_config.h (__log_data): Add. * sysdeps/ieee754/dbl-64/ulog.h: Remove. * sysdeps/ieee754/dbl-64/ulog.tbl: Remove. * sysdeps/m68k/m680x0/fpu/e_log_data.c: New file.
* Add new exp and exp2 implementationsSzabolcs Nagy2018-09-051-2/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Optimized exp and exp2 implementations using a lookup table for fractional powers of 2. There are several variants, see e_exp_data.c, they can be selected by modifying math_config.h allowing different tradeoffs. The default selection should be acceptable as generic libm code. Worst case error is 0.509 ULP for exp and 0.507 ULP for exp2, on aarch64 the rodata size is 2160 bytes, shared between exp and exp2. On aarch64 .text + .rodata size decreased by 24912 bytes. The non-nearest rounding error is less than 1 ULP even on targets without efficient round implementation (although the error rate is higher in that case). Targets with single instruction, rounding mode independent, to nearest integer rounding and conversion can use them by setting TOINT_INTRINSICS and adding the necessary code to their math_private.h. The __exp1 code uses the same algorithm, so the error bound of pow increased a bit. New double precision error handling code was added following the style of the single precision error handling code. Improvements on Cortex-A72 compared to current glibc master: exp thruput: 1.61x in [-9.9 9.9] exp latency: 1.53x in [-9.9 9.9] exp thruput: 1.13x in [0.5 1] exp latency: 1.30x in [0.5 1] exp2 thruput: 2.03x in [-9.9 9.9] exp2 latency: 1.64x in [-9.9 9.9] For small (< 1) inputs the current exp code uses a separate algorithm so the speed up there is less. Was tested on aarch64-linux-gnu (TOINT_INTRINSICS, fma contraction) and arm-linux-gnueabihf (!TOINT_INTRINSICS, no fma contraction) and x86_64-linux-gnu (!TOINT_INTRINSICS, no fma contraction) and powerpc64le-linux-gnu (!TOINT_INTRINSICS, fma contraction) targets, only non-nearest rounding ulp errors increase and they are within acceptable bounds (ulp updates are in separate patches). * NEWS: Mention exp and exp2 improvements. * math/Makefile (libm-support): Remove t_exp. (type-double-routines): Add math_err and e_exp_data. * sysdeps/aarch64/libm-test-ulps: Update. * sysdeps/arm/libm-test-ulps: Update. * sysdeps/i386/fpu/e_exp_data.c: New file. * sysdeps/i386/fpu/math_err.c: New file. * sysdeps/i386/fpu/t_exp.c: Remove. * sysdeps/ia64/fpu/e_exp_data.c: New file. * sysdeps/ia64/fpu/math_err.c: New file. * sysdeps/ia64/fpu/t_exp.c: Remove. * sysdeps/ieee754/dbl-64/e_exp.c: Rewrite. * sysdeps/ieee754/dbl-64/e_exp2.c: Rewrite. * sysdeps/ieee754/dbl-64/e_exp_data.c: New file. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Update error bound. * sysdeps/ieee754/dbl-64/eexp.tbl: Remove. * sysdeps/ieee754/dbl-64/math_config.h: New file. * sysdeps/ieee754/dbl-64/math_err.c: New file. * sysdeps/ieee754/dbl-64/t_exp.c: Remove. * sysdeps/ieee754/dbl-64/t_exp2.h: Remove. * sysdeps/ieee754/dbl-64/uexp.h: Remove. * sysdeps/ieee754/dbl-64/uexp.tbl: Remove. * sysdeps/m68k/m680x0/fpu/e_exp_data.c: New file. * sysdeps/m68k/m680x0/fpu/math_err.c: New file. * sysdeps/m68k/m680x0/fpu/t_exp.c: Remove. * sysdeps/powerpc/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Move fenv.h soft-float inlines from fenv_private.h to include/fenv.h.Joseph Myers2018-09-0433-32/+5
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | <fenv_private.h> has inline versions of various <fenv.h> functions, and their __fe* variants, for systems (generally soft-float) without support for floating-point exceptions, rounding modes or both. Having these inlines in a separate header introduces a risk of a source file including <fenv.h> and compiling OK on x86_64, but failing to compile (because the feraiseexcept inline is actually a macro that discards its argument, to avoid the need for #ifdef FE_INVALID conditionals), or not being properly optimized, on systems without the exceptions and rounding modes support (when these inlines were in math_private.h, we had a few cases where this broke the build because there was no obvious reason for a file to need math_private.h and it didn't need that header on x86_64). By moving those inlines to include/fenv.h, this risk can be avoided, and fenv_private.h becomes more clearly defined as specifically the header for the internal libc_fe* and SET_RESTORE_ROUND* interfaces. This patch makes that move, removing fenv_private.h includes that are no longer needed (or replacing them by fenv.h includes in a few cases that didn't already have such an include). Tested for x86_64 and x86, and tested with build-many-glibcs.py that installed stripped shared libraries are unchanged by the patch. * sysdeps/generic/fenv_private.h [FE_ALL_EXCEPT == 0]: Move this code .... [!FE_HAVE_ROUNDING_MODES]: And this code .... * include/fenv.h [!_ISOMAC]: ... to here. * math/fraiseexcpt.c (__feraiseexcept): Undefine as macro. (feraiseexcept): Likewise. * math/fromfp.h: Do not include <fenv_private.h>. * math/s_cexp_template.c: Likewise. * math/s_csin_template.c: Likewise. * math/s_csinh_template.c: Likewise. * math/s_ctan_template.c: Likewise. * math/s_ctanh_template.c: Likewise. * math/s_iseqsig_template.c: Likewise. * math/w_acos_compat.c: Likewise. * math/w_acosf_compat.c: Likewise. * math/w_acosl_compat.c: Likewise. * math/w_asin_compat.c: Likewise. * math/w_asinf_compat.c: Likewise. * math/w_asinl_compat.c: Likewise. * math/w_j0_compat.c: Likewise. * math/w_j0f_compat.c: Likewise. * math/w_j0l_compat.c: Likewise. * math/w_j1_compat.c: Likewise. * math/w_j1f_compat.c: Likewise. * math/w_j1l_compat.c: Likewise. * math/w_jn_compat.c: Likewise. * math/w_jnf_compat.c: Likewise. * math/w_log10_compat.c: Likewise. * math/w_log10f_compat.c: Likewise. * math/w_log10l_compat.c: Likewise. * math/w_log2_compat.c: Likewise. * math/w_log2f_compat.c: Likewise. * math/w_log2l_compat.c: Likewise. * math/w_log_compat.c: Likewise. * math/w_logf_compat.c: Likewise. * math/w_logl_compat.c: Likewise. * sysdeps/ieee754/dbl-64/s_llrint.c: Likewise. * sysdeps/ieee754/dbl-64/s_llround.c: Likewise. * sysdeps/ieee754/dbl-64/s_lrint.c: Likewise. * sysdeps/ieee754/dbl-64/s_lround.c: Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_lround.c: Likewise. * sysdeps/ieee754/flt-32/s_llrintf.c: Likewise. * sysdeps/ieee754/flt-32/s_llroundf.c: Likewise. * sysdeps/ieee754/flt-32/s_lrintf.c: Likewise. * sysdeps/ieee754/flt-32/s_lroundf.c: Likewise. * sysdeps/ieee754/k_standardl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128/s_llrintl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_llroundl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_lrintl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_lroundl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nearbyintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_llrintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_llroundl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_lrintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_lroundl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fma.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-96/s_llrintl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_llroundl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_lrintl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_lroundl.c: Likewise. * math/w_ilogb_template.c: Include <fenv.h> instead of <fenv_private.h>. * math/w_llogb_template.c: Likewise. * sysdeps/powerpc/fpu/e_sqrt.c: Likewise. * sysdeps/powerpc/fpu/e_sqrtf.c: Likewise.
* Do not include fenv_private.h in math_private.h.Joseph Myers2018-09-0333-0/+33
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Continuing the clean-up related to the catch-all math_private.h header, this patch stops math_private.h from including fenv_private.h. Instead, fenv_private.h is included directly from those users of math_private.h that also used interfaces from fenv_private.h. No attempt is made to remove unused includes of math_private.h, but that is a natural followup. (However, since math_private.h sometimes defines optimized versions of math.h interfaces or __* variants thereof, as well as defining its own interfaces, I think it might make sense to get all those optimized versions included from include/math.h, not requiring a separate header at all, before eliminating unused math_private.h includes - that avoids a file quietly becoming less-optimized if someone adds a call to one of those interfaces without restoring a math_private.h include to that file.) There is still a pitfall that if code uses plain fe* and __fe* interfaces, but only includes fenv.h and not fenv_private.h or (before this patch) math_private.h, it will compile on platforms with exceptions and rounding modes but not get the optimized versions (and possibly not compile) on platforms without exception and rounding mode support, so making it easy to break the build for such platforms accidentally. I think it would be most natural to move the inlines / macros for fe* and __fe* in the case of no exceptions and rounding modes into include/fenv.h, so that all code including fenv.h with _ISOMAC not defined automatically gets them. Then fenv_private.h would be purely the header for the libc_fe*, SET_RESTORE_ROUND etc. internal interfaces and the risk of breaking the build on other platforms than the one you tested on because of a missing fenv_private.h include would be much reduced (and there would be some unused fenv_private.h includes to remove along with unused math_private.h includes). Tested for x86_64 and x86, and tested with build-many-glibcs.py that installed stripped shared libraries are unchanged by this patch. * sysdeps/generic/math_private.h: Do not include <fenv_private.h>. * math/fromfp.h: Include <fenv_private.h>. * math/math-narrow.h: Likewise. * math/s_cexp_template.c: Likewise. * math/s_csin_template.c: Likewise. * math/s_csinh_template.c: Likewise. * math/s_ctan_template.c: Likewise. * math/s_ctanh_template.c: Likewise. * math/s_iseqsig_template.c: Likewise. * math/w_acos_compat.c: Likewise. * math/w_acosf_compat.c: Likewise. * math/w_acosl_compat.c: Likewise. * math/w_asin_compat.c: Likewise. * math/w_asinf_compat.c: Likewise. * math/w_asinl_compat.c: Likewise. * math/w_ilogb_template.c: Likewise. * math/w_j0_compat.c: Likewise. * math/w_j0f_compat.c: Likewise. * math/w_j0l_compat.c: Likewise. * math/w_j1_compat.c: Likewise. * math/w_j1f_compat.c: Likewise. * math/w_j1l_compat.c: Likewise. * math/w_jn_compat.c: Likewise. * math/w_jnf_compat.c: Likewise. * math/w_llogb_template.c: Likewise. * math/w_log10_compat.c: Likewise. * math/w_log10f_compat.c: Likewise. * math/w_log10l_compat.c: Likewise. * math/w_log2_compat.c: Likewise. * math/w_log2f_compat.c: Likewise. * math/w_log2l_compat.c: Likewise. * math/w_log_compat.c: Likewise. * math/w_logf_compat.c: Likewise. * math/w_logl_compat.c: Likewise. * sysdeps/aarch64/fpu/feholdexcpt.c: Likewise. * sysdeps/aarch64/fpu/fesetround.c: Likewise. * sysdeps/aarch64/fpu/fgetexcptflg.c: Likewise. * sysdeps/aarch64/fpu/ftestexcept.c: Likewise. * sysdeps/ieee754/dbl-64/e_atan2.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp2.c: Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c: Likewise. * sysdeps/ieee754/dbl-64/e_jn.c: Likewise. * sysdeps/ieee754/dbl-64/e_pow.c: Likewise. * sysdeps/ieee754/dbl-64/e_remainder.c: Likewise. * sysdeps/ieee754/dbl-64/e_sqrt.c: Likewise. * sysdeps/ieee754/dbl-64/gamma_product.c: Likewise. * sysdeps/ieee754/dbl-64/lgamma_neg.c: Likewise. * sysdeps/ieee754/dbl-64/s_atan.c: Likewise. * sysdeps/ieee754/dbl-64/s_fma.c: Likewise. * sysdeps/ieee754/dbl-64/s_fmaf.c: Likewise. * sysdeps/ieee754/dbl-64/s_llrint.c: Likewise. * sysdeps/ieee754/dbl-64/s_llround.c: Likewise. * sysdeps/ieee754/dbl-64/s_lrint.c: Likewise. * sysdeps/ieee754/dbl-64/s_lround.c: Likewise. * sysdeps/ieee754/dbl-64/s_nearbyint.c: Likewise. * sysdeps/ieee754/dbl-64/s_sin.c: Likewise. * sysdeps/ieee754/dbl-64/s_sincos.c: Likewise. * sysdeps/ieee754/dbl-64/s_tan.c: Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_lround.c: Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c: Likewise. * sysdeps/ieee754/dbl-64/x2y2m1.c: Likewise. * sysdeps/ieee754/float128/float128_private.h: Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c: Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Likewise. * sysdeps/ieee754/flt-32/e_jnf.c: Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c: Likewise. * sysdeps/ieee754/flt-32/s_llrintf.c: Likewise. * sysdeps/ieee754/flt-32/s_llroundf.c: Likewise. * sysdeps/ieee754/flt-32/s_lrintf.c: Likewise. * sysdeps/ieee754/flt-32/s_lroundf.c: Likewise. * sysdeps/ieee754/flt-32/s_nearbyintf.c: Likewise. * sysdeps/ieee754/k_standardl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-128/gamma_productl.c: Likewise. * sysdeps/ieee754/ldbl-128/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128/s_llrintl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_llroundl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_lrintl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_lroundl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nearbyintl.c: Likewise. * sysdeps/ieee754/ldbl-128/x2y2m1l.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_llrintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_llroundl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_lrintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_lroundl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_rintl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/x2y2m1l.c: Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-96/gamma_productl.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fma.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-96/s_llrintl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_llroundl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_lrintl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_lroundl.c: Likewise. * sysdeps/ieee754/ldbl-96/x2y2m1l.c: Likewise. * sysdeps/powerpc/fpu/e_sqrt.c: Likewise. * sysdeps/powerpc/fpu/e_sqrtf.c: Likewise. * sysdeps/riscv/rv64/rvd/s_ceil.c: Likewise. * sysdeps/riscv/rv64/rvd/s_floor.c: Likewise. * sysdeps/riscv/rv64/rvd/s_nearbyint.c: Likewise. * sysdeps/riscv/rv64/rvd/s_round.c: Likewise. * sysdeps/riscv/rv64/rvd/s_roundeven.c: Likewise. * sysdeps/riscv/rv64/rvd/s_trunc.c: Likewise. * sysdeps/riscv/rvd/s_finite.c: Likewise. * sysdeps/riscv/rvd/s_fmax.c: Likewise. * sysdeps/riscv/rvd/s_fmin.c: Likewise. * sysdeps/riscv/rvd/s_fpclassify.c: Likewise. * sysdeps/riscv/rvd/s_isinf.c: Likewise. * sysdeps/riscv/rvd/s_isnan.c: Likewise. * sysdeps/riscv/rvd/s_issignaling.c: Likewise. * sysdeps/riscv/rvf/fegetround.c: Likewise. * sysdeps/riscv/rvf/feholdexcpt.c: Likewise. * sysdeps/riscv/rvf/fesetenv.c: Likewise. * sysdeps/riscv/rvf/fesetround.c: Likewise. * sysdeps/riscv/rvf/feupdateenv.c: Likewise. * sysdeps/riscv/rvf/fgetexcptflg.c: Likewise. * sysdeps/riscv/rvf/ftestexcept.c: Likewise. * sysdeps/riscv/rvf/s_ceilf.c: Likewise. * sysdeps/riscv/rvf/s_finitef.c: Likewise. * sysdeps/riscv/rvf/s_floorf.c: Likewise. * sysdeps/riscv/rvf/s_fmaxf.c: Likewise. * sysdeps/riscv/rvf/s_fminf.c: Likewise. * sysdeps/riscv/rvf/s_fpclassifyf.c: Likewise. * sysdeps/riscv/rvf/s_isinff.c: Likewise. * sysdeps/riscv/rvf/s_isnanf.c: Likewise. * sysdeps/riscv/rvf/s_issignalingf.c: Likewise. * sysdeps/riscv/rvf/s_nearbyintf.c: Likewise. * sysdeps/riscv/rvf/s_roundevenf.c: Likewise. * sysdeps/riscv/rvf/s_roundf.c: Likewise. * sysdeps/riscv/rvf/s_truncf.c: Likewise.
* Make gen-libm-test.py treat plus_oflow and minus_oflow as non-finite.Joseph Myers2018-08-291-4/+3
| | | | | | | | | | | | | | | | | | | | | When converting gen-libm-test to Python, in one place I noted a bug in the old Perl version that I preserved in the Python version so that the generated output files were the same with both versions, as such comparisons help give confidence in the correctness of such a rewrite of a script. Now that the conversion has been done, this patch fixes that bug, by arranging for tests with plus_oflow or minus_oflow results (manually written tests in libm-test-*.inc that have overflowing results that thus depend on the rounding mode) to be properly treated as having non-finite results, and thus not run for the __FINITE_MATH_ONLY__ tests. (As the affected tests in fact did pass for __FINITE_MATH_ONLY__ testing, this is just a matter of logical correctness in the choice of which tests run for that case, rather than fixing any actual test failures.) Tested for x86_64. * math/gen-libm-test.py (gen_test_args_res): Also treat plus_oflow and minus_oflow as non-finite.
* Remove unused math filesWilco Dijkstra2018-08-241-7/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | Remove empty files due to the sin/cos improvements: k_sinf.c, k_cosf.c, k_cos.c, k_sin.c. After the tanf change s_rem_pio2f.c and k_rem_pio2f.c (and the ia64, m68k and powerpc equivalents) are no longer used, so remove them. All e_rem_pio2.c files were already empty or commented out, so remove them too. Passes build-many-glibcs. * math/Makefile: Remove empty files k_sin(f).c, k_cos(f).c. Remove unused files e_rem_pio2(f).c, k_rem_pio2f.c. * sysdeps/i386/fpu/e_rem_pio2.c: Delete file. * sysdeps/ia64/fpu/e_rem_pio2.c: Likewise. * sysdeps/ia64/fpu/e_rem_pio2f.c: Likewise. * sysdeps/ia64/fpu/k_rem_pio2f.c: Likewise. * sysdeps/ieee754/dbl-64/e_rem_pio2.c: Likewise. * sysdeps/ieee754/dbl-64/k_cos.c: Likewise. * sysdeps/ieee754/dbl-64/k_sin.c: Likewise. * sysdeps/ieee754/flt-32/e_rem_pio2f.c: Likewise. * sysdeps/ieee754/flt-32/k_cosf.c: Likewise. * sysdeps/ieee754/flt-32/k_rem_pio2f.c: Likewise. * sysdeps/ieee754/flt-32/k_sinf.c: Likewise. * sysdeps/m68k/m680x0/fpu/e_rem_pio2.c: Likewise * sysdeps/m68k/m680x0/fpu/e_rem_pio2f.c: Likewise * sysdeps/m68k/m680x0/fpu/k_rem_pio2f.c: Likewise * sysdeps/powerpc/fpu/e_rem_pio2f.c: Likewise. * sysdeps/powerpc/fpu/k_rem_pio2f.c: Likewise.
* Don't redefine ROUNDING_TESTS_* in math/test-*-vlen*.h.Joseph Myers2018-08-227-24/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | This patch completes the move of ROUNDING_TESTS_* macros to typo-proof conventions by stopping redefining them in test-*-vlen*.h. Instead, libm-test-driver.c is made to check TEST_MATHVEC when setting non-to-nearest rounding modes. Tested for x86_64. * math/test-double-vlen2.h: Don't include <math-tests-rounding.h>. (ROUNDING_TESTS_double): Remove. * math/test-double-vlen4.h: Don't include <math-tests-rounding.h>. (ROUNDING_TESTS_double): Remove. * math/test-double-vlen8.h: Don't include <math-tests-rounding.h>. (ROUNDING_TESTS_double): Remove. * math/test-float-vlen16.h: Don't include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Remove. * math/test-float-vlen4.h: Don't include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Remove. * math/test-float-vlen8.h: Don't include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Remove. * math/libm-test-driver.c (IF_ROUND_INIT_FE_DOWNWARD): Check !TEST_MATHVEC here. (IF_ROUND_INIT_FE_TOWARDZERO): Likewise. (IF_ROUND_INIT_FE_UPWARD): Likewise.
* Move ROUNDING_TESTS_* out of math-tests.h.Joseph Myers2018-08-226-0/+12
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Continuing moving macros out of math-tests.h to smaller headers following typo-proof conventions instead of using #ifndef, this patch moves the ROUNDING_TESTS_* macros for individual types out to their own sysdeps header. In the soft-float case where FE_TONEAREST is the only rounding mode macro defined, there is no need to define ROUNDING_TESTS_*; it is only necessary when rounding modes macros are defined that may not be supported at runtime. Thus, the ROUNDING_TESTS_* definitions for some configurations are just removed, not moved to new math-tests-rounding.h headers; the only architectures needing math-tests-rounding.h are those where the macros are defined in bits/fenv.h because of the possibility of a soft-float compilation using a hard-float glibc with the same ABI (i.e., ARM and RISC-V). The test-*-vlen*.h headers, by using #undef, do not yet follow typo-proof conventions (but they no longer implicitly rely on being included before math-tests.h, and this area can always be cleaned up further in future). Tested with build-many-glibcs.py. * sysdeps/generic/math-tests-rounding.h: New file. * sysdeps/generic/math-tests.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Do not define here. (ROUNDING_TESTS_double): Likewise. (ROUNDING_TESTS_long_double): Likewise. (ROUNDING_TESTS_float128): Likewise. * math/test-double-vlen2.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_double): Undefine before defining. * math/test-double-vlen4.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_double): Undefine before defining. * math/test-double-vlen8.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_double): Undefine before defining. * math/test-float-vlen16.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Undefine before defining. * math/test-float-vlen4.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Undefine before defining. * math/test-float-vlen8.h: Include <math-tests-rounding.h>. (ROUNDING_TESTS_float): Undefine before defining. * sysdeps/arm/nofpu/math-tests-rounding.h: New file. * sysdeps/arm/math-tests.h [__SOFTFP__] (ROUNDING_TESTS_float): Do not define here. [__SOFTFP__] (ROUNDING_TESTS_double): Likewise. [__SOFTFP__] (ROUNDING_TESTS_long_double): Likewise. * sysdeps/riscv/nofpu/math-tests-rounding.h: New file. * sysdeps/riscv/math-tests.h [!__riscv_flen] (ROUNDING_TESTS_float): Do not define here. [!__riscv_flen] (ROUNDING_TESTS_double): Likewise. [!__risv_flen] (ROUNDING_TESTS_long_double): Likewise. * sysdeps/m68k/coldfire/math-tests.h [!__mcffpu__] (ROUNDING_TESTS_float): Likewise. [!__mcffpu__] (ROUNDING_TESTS_double): Likewise. [!__mcffpu__] (ROUNDING_TESTS_long_double): Likewise. * sysdeps/mips/math-tests.h [__mips_soft_float] (ROUNDING_TESTS_float): Likewise. [__mips_soft_float] (ROUNDING_TESTS_double): Likewise. [__mips_soft_float] (ROUNDING_TESTS_long_double): Likewise. * sysdeps/nios2/math-tests.h (ROUNDING_TESTS_float): Likewise. (ROUNDING_TESTS_double): Likewise. (ROUNDING_TESTS_long_double): Likewise.
* Improve performance of sincosfWilco Dijkstra2018-08-101-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch is a complete rewrite of sincosf. The new version is significantly faster, as well as simple and accurate. The worst-case ULP is 0.5607, maximum relative error is 0.5303 * 2^-23 over all 4 billion inputs. In non-nearest rounding modes the error is 1ULP. The algorithm uses 3 main cases: small inputs which don't need argument reduction, small inputs which need a simple range reduction and large inputs requiring complex range reduction. The code uses approximate integer comparisons to quickly decide between these cases. The small range reducer uses a single reduction step to handle values up to 120.0. It is fastest on targets which support inlined round instructions. The large range reducer uses integer arithmetic for simplicity. It does a 32x96 bit multiply to compute a 64-bit modulo result. This is more than accurate enough to handle the worst-case cancellation for values close to an integer multiple of PI/4. It could be further optimized, however it is already much faster than necessary. sincosf throughput gains on Cortex-A72: * |x| < 0x1p-12 : 1.6x * |x| < M_PI_4 : 1.7x * |x| < 2 * M_PI: 1.5x * |x| < 120.0 : 1.8x * |x| < Inf : 2.3x * math/Makefile: Add s_sincosf_data.c. * sysdeps/ia64/fpu/s_sincosf_data.c: New file. * sysdeps/ieee754/flt-32/s_sincosf.h (abstop12): Add new function. (sincosf_poly): Likewise. (reduce_small): Likewise. (reduce_large): Likewise. * sysdeps/ieee754/flt-32/s_sincosf.c (sincosf): Rewrite. * sysdeps/ieee754/flt-32/s_sincosf_data.c: New file with sincosf data. * sysdeps/m68k/m680x0/fpu/s_sincosf_data.c: New file. * sysdeps/x86_64/fpu/s_sincosf_data.c: New file.
* Replace gen-libm-test.pl with gen-libm-test.py.Joseph Myers2018-08-098-874/+631
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Following the recent discussion of using Python instead of Perl and Awk for glibc build / test, this patch replaces gen-libm-test.pl with a new gen-libm-test.py script. This script should work with all Python versions supported by glibc (tested by hand with Python 2.7, tested in the build system with Python 3.5; configure prefers Python 3 if available). This script is designed to give identical output to gen-libm-test.pl for ease of verification of the change, except for generated comments referring to .py instead of .pl. (That is, identical for actual inputs passed to the script, not necessarily for all possible input; for example, this version more precisely follows the C standard syntax for floating-point constants when deciding when to add LIT macro calls.) In one place a comment notes that the generation of NON_FINITE flags is replicating a bug in the Perl script to assist in such comparisons (with the expectation that this bug can then be separately fixed in the Python script later). Tested for x86_64, including comparison of generated files (and hand testing of the case of generating a sorted libm-test-ulps file, which isn't covered by normal "make check"). I'd expect to follow this up by extending the new script to produce the ulps tables for the manual as well (replacing manual/libm-err-tab.pl, so that then we just have one ulps file parser) - at which point the manual build would depend on both Perl and Python (eliminating the Perl dependency would require someone to rewrite summary.pl in Python, and that would only eliminate the *direct* Perl dependency; current makeinfo is written in Perl so there would still be an indirect dependency). I think install.texi is more or less equally out-of-date regarding Perl and Python uses before and after this patch, so I don't think this patch depends on my patch <https://sourceware.org/ml/libc-alpha/2018-08/msg00133.html> to update install.texi regarding such uses (pending review). * math/gen-libm-test.py: New file. * math/gen-libm-test.pl: Remove. * math/Makefile [$(PERL) != no]: Change condition to [PYTHON]. ($(objpfx)libm-test-ulps.h): Use gen-libm-test.py instead of gen-libm-test.pl. ($(libm-test-c-noauto-obj)): Likewise. ($(libm-test-c-auto-obj)): Likewise. ($(libm-test-c-narrow-obj)): Likewise. (regen-ulps): Likewise. * math/README.libm-test: Update references to gen-libm-test.pl. * math/libm-test-driver.c (struct test_fj_f_data): Update comment referencing gen-libm-test.pl. * math/libm-test-nexttoward.inc (nexttoward_test_data): Likewise. * math/libm-test-support.c: Likewise. * math/libm-test-support.h: Likewise. * sysdeps/generic/libm-test-ulps: Likewise.
* Move comment from libm-test-nextdown.inc to libm-test-nexttoward.inc.Joseph Myers2018-08-082-5/+4
| | | | | | | | | | | | | | When libm tests were split into separate per-function .inc files, a comment relating to the nexttoward tests ended up at the end of libm-test-nextdown.inc (because the split was based on starting each function's tests with the <function>_test_data definition, which failed to allow for comments before such definitions). This patch moves that comment to the correct location. Tested for x86_64. * math/libm-test-nextdown.inc (do_test): Move comment to .... * math/libm-test-nexttoward.inc (nexttoward_test_data): ... here.
* Consistently terminate libm-test-*.inc TEST lines with commas.Joseph Myers2018-08-033-22/+22
| | | | | | | | | | | | | | | | | Some TEST_* lines in libm-test-*.inc end with semicolons not commas. This works at present because gen-libm-test.pl ignores whatever comes after the TEST_* call, but is logically wrong (since the TEST_* calls generate array elements, not statements) and the Python replacement for gen-libm-test.pl that I'm working on is stricter about the syntax here. This patch fixes the lines in question to use commas like most such lines already do. Tested for x86_64. * math/libm-test-ilogb.inc (ilogb_test_data): Use ',' not ';' after TEST_* calls. * math/libm-test-llogb.inc (llogb_test_data): Likewise. * math/libm-test-logb.inc (logb_test_data): Likewise.
* Fix math/test-misc.c for undefined fenv.h macros.Joseph Myers2018-08-011-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | math/test-misc.c contains some code that uses fenv.h macros FE_UNDERFLOW, FE_OVERFLOW and FE_UPWARD without being conditional on those macros being defined. That would normally break the build for configurations (typically soft-float) not defining those macros. However, the code in question is inside LDBL_MANT_DIG > DBL_MANT_DIG conditionals. And, while we have configurations lacking rounding mode and exception support where LDBL_MANT_DIG > DBL_MANT_DIG (soft-float MIPS64 and RISC-V), those configurations currently define the fenv.h macros in question even for soft-float. There may be some case for defining those macros in cases where a soft-float compilation could use a hard-float libm (where both soft-float and hard-float can use the same ABI, as on ARM and RISC-V, for example). But MIPS is not such a case - the hard-float and soft-float ABIs are incompatible - and thus I am testing a patch to stop defining those macros for soft-float MIPS (motivated by reducing the extent to which architectures need their own definitions of math-tests.h macros - if lack of rounding mode / exception support can be determined by the lack of macros in fenv.h, that avoids the need for math-tests.h to declare that lack as well). Introducing a case of LDBL_MANT_DIG > DBL_MANT_DIG without these macros defined shows up the problem with math/test-misc.c. This patch then fixes that problem by adding appropriate conditionals. Tested for MIPS64 in conjunction with changes to stop defining the macros in question in bits/fenv.h for soft-float. * math/test-misc.c (do_test) [LDBL_MANT_DIG > DBL_MANT_DIG]: Make code using FE_UNDERFLOW conditional on [FE_UNDERFLOW], code using FE_OVERFLOW conditional on [FE_OVERFLOW] and code using FE_UPWARD conditional on [FE_UPWARD].
* Add a generic significand implementationTulio Magno Quites Machado Filho2018-06-205-97/+36
| | | | | | | | | | | | | | | Create a template for significand. * math/Makefile (libm-calls): Move s_significandF to... (gen-libm-calls): ... here. * math/s_significand_template.c: New file. * math/s_significand.c: Removed. * math/s_significandf.c: Removed. * math/s_significandl.c: Removed. * sysdeps/ieee754/ldbl-opt/s_significand.c: Removed. * sysdeps/ieee754/ldbl-opt/s_significandl.c: Removed. Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
* Move declare_mgen_finite_alias definitionTulio Magno Quites Machado Filho2018-06-201-7/+0
| | | | | | | | | | | | | Move declare_mgen_finite_alias, declare_mgen_finite_alias_s and declare_mgen_finite_alias_x to a shared place in order to reuse them in other files that also declare _finite aliases. * math/e_exp2_template.c (declare_mgen_finite_alias, declare_mgen_finite_alias_s, declare_mgen_finite_alias_x): Move to... * sysdeps/generic/math-type-macros.h (declare_mgen_finite_alias, declare_mgen_finite_alias_s, declare_mgen_finite_alias_x): ... here. Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
* Do not use const attribute for nan functions (bug 23277).Joseph Myers2018-06-123-2/+36
| | | | | | | | | | | | | | | | | | | | | As in https://gcc.gnu.org/bugzilla/show_bug.cgi?id=86113 for __builtin_nan, bits/mathcalls.h wrongly declares the nan function with the __const__ attribute. Because the function reads memory pointed to by an argument, it's only pure, not const. This patch removes the incorrect attribute and adds a testcase for the bug. No __pure__ attribute is added to replace the incorrect __const__ one, since that would introduce problems when using GCC versions that have the incorrect built-in __const__ attribute and warn for the combination of those two attributes. Tested for x86_64. [BZ #23277] * math/bits/mathcalls.h [__USE_ISOC99] (nan): Do not use __const__ attribute. * math/test-nan-const.c: New file. * math/Makefile (tests): Add test-nan-const. (CFLAGS-test-nan-const.c): New variable.
* Fix ldbl-96 fma (Inf, Inf, finite) (bug 23272).Joseph Myers2018-06-111-0/+33
| | | | | | | | | | | | | | | | | | | As reported in bug 23272, the ldbl-96 implementation of fma (fma for double, in terms of ldbl-96 as the internal arithmetic type, as used on 32-bit x86) is missing some of the special-case handling for non-finite arguments, resulting in incorrect NaN results when the first two arguments are infinities, the third is finite and so the infinities go through the logic for finite arguments. This patch fixes it by handling all cases of non-finite arguments up front, with additional fma tests for the problem cases being added to the testsuite. Tested for x86_64 and x86. [BZ #23272] * sysdeps/ieee754/ldbl-96/s_fma.c (__fma): Start by handling all cases of non-finite arguments. * math/libm-test-fma.inc (fma_test_data): Add more tests.
* Fix parameter type in C++ version of iseqsig (bug 23171)Gabriel F. T. Gomes2018-05-241-1/+1
| | | | | | | | | | | | | | | The commit commit c85e54ac6cef0faed7b7ffc722f52523dec59bf5 Author: Gabriel F. T. Gomes <gabriel@inconstante.eti.br> Date: Fri Nov 3 10:44:36 2017 -0200 Provide a C++ version of iseqsig (bug 22377) mistakenly used double parameters in the long double version of iseqsig, thus causing spurious conversions to double, as reported on bug 23171. Tested for powerpc64le and x86_64.
* Split test-tgmath3 by function.Joseph Myers2018-05-182-11/+55
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | It has been noted that test-tgmath3 is slow to compile, and to link on some systems <https://sourceware.org/ml/libc-alpha/2018-02/msg00477.html>, because of the size of the test. I'm working on tgmath.h support for the TS 18661-1 / 18661-3 functions that round their results to a narrower type. For the functions already present in glibc, this wouldn't make test-tgmath3 much bigger, because those functions only have two arguments. For the narrowing versions of fma (for which I've not yet added the functions to glibc), however, it would result in many configurations building tests of the type-generic macros f32fma, f64fma, f32xfma, f64xfma, each with 21 possible types for each of three arguments (float, double, long double aren't valid argument types for these macros when they return a _FloatN / _FloatNx type), so substantially increasing the size of the testcase. To avoid further increasing the size of a single test when adding the type-generic narrowing fma macros, this patch arranges for the test-tgmath3 tests to be run separately for each function tested. The fma tests are still by far the largest (next is pow, as that has two arguments that can be real or complex; after that, the two-argument real-only functions), but each type-generic fma macro for a different return type would end up with its tests being run separately, rather than increasing the size of a single test. To avoid accidentally missing testing a macro because gen-tgmath-tests.py supports testing it but the makefile fails to call it for that function, a test is also added that verifies that the lists of macros in the makefile and gen-tgmath-tests.py agree. Tested for x86_64. * math/gen-tgmath-tests.py: Import sys. (Tests.__init__): Initialize macros_seen. (Tests.add_tests): Add macro to macros_seen. Only generate tests if requested to do so for this macro. (Tests.add_all_tests): Take argument for macro for which to generate tests. (Tests.check_macro_list): New function. (main): Handle check-list argument and argument specifying macro for which to generate tests. * math/Makefile [PYTHON] (tgmath3-macros): New variable. [PYTHON] (tgmath3-macro-tests): Likewise. [PYTHON] (tests): Add $(tgmath3-macro-tests) not test-tgmath3. [PYTHON] (generated): Add $(addsuffix .c,$(tgmath3-macro-tests)) not test-tgmath3.c. [PYTHON] (CFLAGS-test-tgmath3.c): Remove. [PYTHON] ($(tgmath3-macro-tests:%=$(objpfx)%.o): Add -fno-builtin to CFLAGS. [PYTHON] ($(objpfx)test-tgmath3.c): Replace rule by.... [PYTHON] ($(foreach m,$(tgmath3-macros),$(objpfx)test-tgmath3-$(m).c): ... this. New rule. [PYTHON] (tests-special): Add $(objpfx)test-tgmath3-macro-list.out. [PYTHON] ($(objpfx)test-tgmath3-macro-list.out): New rule.
* Add narrowing divide functions.Joseph Myers2018-05-178-2/+21726
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2018-05-168-2/+11674
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* powerpc: Fix the compiler type used with C++ when -mabi=ieeelongdoubleTulio Magno Quites Machado Filho2018-05-111-3/+9
| | | | | | | | | | | | | | | | | | | | | | | | When compiling C++ code with -mabi=ieeelongdouble, KCtype is unavailable and the long double type should be used instead. This is also providing macro __HAVE_FLOAT128_UNLIKE_LDBL in order to identify the kind of long double type is being used in the current compilation unit. Notice that bits/floatn.h cannot benefit from the new macro due to order of header inclusion. * bits/floatn-common.h: Define __HAVE_FLOAT128_UNLIKE_LDBL. * math/math.h: Restrict the prototype definition for the functions issignaling(_Float128) and iszero(_Float128); and template __iseqsig_type<_Float128>, from __HAVE_DISTINCT_FLOAT128 to __HAVE_FLOAT128_UNLIKE_LDBL. * sysdeps/powerpc/bits/floatn.h [__HAVE_FLOAT128 && (!__GNUC_PREREQ (7, 0) || defined __cplusplus) && __LDBL_MANT_DIG__ == 113]: Use long double suffix for __f128() constants; define the type _Float128 as long double; and reuse long double in __CFLOAT128. Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
* Do not include math-barriers.h in math_private.h.Joseph Myers2018-05-114-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch continues the math_private.h cleanup by stopping math_private.h from including math-barriers.h and making the users of the barrier macros include the latter header directly. No attempt is made to remove any math_private.h includes that are now unused, except in strtod_l.c where that is done to avoid line number changes in assertions, so that installed stripped shared libraries can be compared before and after the patch. (I think the floating-point environment support in math_private.h should also move out - some architectures already have fenv_private.h as an architecture-internal header included from their math_private.h - and after moving that out might be a better time to identify unused math_private.h includes.) Tested for x86_64 and x86, and tested with build-many-glibcs.py that installed stripped shared libraries are unchanged by the patch. * sysdeps/generic/math_private.h: Do not include <math-barriers.h>. * stdlib/strtod_l.c: Include <math-barriers.h> instead of <math_private.h>. * math/fromfp.h: Include <math-barriers.h>. * math/math-narrow.h: Likewise. * math/s_nextafter.c: Likewise. * math/s_nexttowardf.c: Likewise. * sysdeps/aarch64/fpu/s_llrint.c: Likewise. * sysdeps/aarch64/fpu/s_llrintf.c: Likewise. * sysdeps/aarch64/fpu/s_lrint.c: Likewise. * sysdeps/aarch64/fpu/s_lrintf.c: Likewise. * sysdeps/i386/fpu/s_nextafterl.c: Likewise. * sysdeps/i386/fpu/s_nexttoward.c: Likewise. * sysdeps/i386/fpu/s_nexttowardf.c: Likewise. * sysdeps/ieee754/dbl-64/e_atan2.c: Likewise. * sysdeps/ieee754/dbl-64/e_atanh.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp2.c: Likewise. * sysdeps/ieee754/dbl-64/e_j0.c: Likewise. * sysdeps/ieee754/dbl-64/e_sqrt.c: Likewise. * sysdeps/ieee754/dbl-64/s_expm1.c: Likewise. * sysdeps/ieee754/dbl-64/s_fma.c: Likewise. * sysdeps/ieee754/dbl-64/s_fmaf.c: Likewise. * sysdeps/ieee754/dbl-64/s_log1p.c: Likewise. * sysdeps/ieee754/dbl-64/s_nearbyint.c: Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_nearbyint.c: Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c: Likewise. * sysdeps/ieee754/flt-32/e_j0f.c: Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c: Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c: Likewise. * sysdeps/ieee754/flt-32/s_nearbyintf.c: Likewise. * sysdeps/ieee754/flt-32/s_nextafterf.c: Likewise. * sysdeps/ieee754/k_standardl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_powl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nearbyintl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nextafterl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nexttoward.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nexttowardf.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nextafterl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_rintl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_j0l.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fma.c: Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-96/s_nexttoward.c: Likewise. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c: Likewise. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_nextafterl.c: Likewise.
* Move math_check_force_underflow macros to separate math-underflow.h.Joseph Myers2018-05-1014-0/+92
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch continues cleaning up math_private.h by moving the math_check_force_underflow set of macros to a separate header math-underflow.h. This header is included by the files that need it rather than from math_private.h. Moving these macros to a separate file removes the math_private.h uses of macros from float.h, so the inclusion of float.h in math_private.h is also removed; files that were depending on that inclusion are fixed to include float.h directly. The inclusion of math-barriers.h from math_private.h will be removed in a separate patch. Tested for x86_64 and x86. Also tested with build-many-glibcs.py that installed stripped shared libraries are unchanged by this patch. * math/math-underflow.h: New file. * sysdeps/generic/math_private.h: Do not include <float.h>. (fabs_tg): Remove macro. Moved to math-underflow.h. (min_of_type_f): Likewise. (min_of_type_): Likewise. (min_of_type_l): Likewise. (min_of_type_f128): Likewise. (min_of_type): Likewise. (math_check_force_underflow): Likewise. (math_check_force_underflow_nonneg): Likewise. (math_check_force_underflow_complex): Likewise. * math/e_exp2_template.c: Include <math-underflow.h>. * math/k_casinh_template.c: Likewise. * math/s_catan_template.c: Likewise. * math/s_catanh_template.c: Likewise. * math/s_ccosh_template.c: Likewise. * math/s_cexp_template.c: Likewise. * math/s_clog10_template.c: Likewise. * math/s_clog_template.c: Likewise. * math/s_csin_template.c: Likewise. * math/s_csinh_template.c: Likewise. * math/s_csqrt_template.c: Likewise. * math/s_ctan_template.c: Likewise. * math/s_ctanh_template.c: Likewise. * sysdeps/ieee754/dbl-64/e_asin.c: Likewise. * sysdeps/ieee754/dbl-64/e_atanh.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp2.c: Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c: Likewise. * sysdeps/ieee754/dbl-64/e_hypot.c: Likewise. * sysdeps/ieee754/dbl-64/e_j1.c: Likewise. * sysdeps/ieee754/dbl-64/e_jn.c: Likewise. * sysdeps/ieee754/dbl-64/e_pow.c: Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c: Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c: Likewise. * sysdeps/ieee754/dbl-64/s_atan.c: Likewise. * sysdeps/ieee754/dbl-64/s_erf.c: Likewise. * sysdeps/ieee754/dbl-64/s_expm1.c: Likewise. * sysdeps/ieee754/dbl-64/s_log1p.c: Likewise. * sysdeps/ieee754/dbl-64/s_sin.c: Likewise. * sysdeps/ieee754/dbl-64/s_sincos.c: Likewise. * sysdeps/ieee754/dbl-64/s_tan.c: Likewise. * sysdeps/ieee754/dbl-64/s_tanh.c: Likewise. * sysdeps/ieee754/flt-32/e_asinf.c: Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c: Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c: Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Likewise. * sysdeps/ieee754/flt-32/e_jnf.c: Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c: Likewise. * sysdeps/ieee754/flt-32/k_sinf.c: Likewise. * sysdeps/ieee754/flt-32/k_tanf.c: Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c: Likewise. * sysdeps/ieee754/flt-32/s_atanf.c: Likewise. * sysdeps/ieee754/flt-32/s_erff.c: Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c: Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c: Likewise. * sysdeps/ieee754/flt-32/s_tanhf.c: Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-128/e_hypotl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-128/e_sinhl.c: Likewise. * sysdeps/ieee754/ldbl-128/k_sincosl.c: Likewise. * sysdeps/ieee754/ldbl-128/k_sinl.c: Likewise. * sysdeps/ieee754/ldbl-128/k_tanl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_asinhl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_atanl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_expm1l.c: Likewise. * sysdeps/ieee754/ldbl-128/s_log1pl.c: Likewise. * sysdeps/ieee754/ldbl-128/s_tanhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_fmal.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_asinl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c: Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c: Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c: Likewise. * sysdeps/ieee754/ldbl-96/e_sinhl.c: Likewise. * sysdeps/ieee754/ldbl-96/k_sinl.c: Likewise. * sysdeps/ieee754/ldbl-96/k_tanl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_asinhl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_erfl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_tanhl.c: Likewise. * sysdeps/powerpc/fpu/e_hypot.c: Likewise. * sysdeps/x86/fpu/powl_helper.c: Likewise. * sysdeps/ieee754/dbl-64/s_nextup.c: Include <float.h>. * sysdeps/ieee754/flt-32/s_nextupf.c: Likewise. * sysdeps/ieee754/ldbl-128/s_nextupl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nextupl.c: Likewise. * sysdeps/ieee754/ldbl-96/s_nextupl.c: Likewise.
* Move math_narrow_eval to separate math-narrow-eval.h.Joseph Myers2018-05-091-0/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch continues cleaning up the math_private.h header, which contains lots of different definitions many of which are only needed by a limited subset of files using that header (and some of which are overridden by architectures that only want to override selected parts of the header), by moving the math_narrow_eval macro out to a separate math-narrow-eval.h header, only included by those files that need it. That header is placed in include/ (since it's used in stdlib/, not just files built in math/, but no sysdeps variants are needed at present). Tested for x86_64, and with build-many-glibcs.py. (Installed stripped shared libraries change because of line numbers in assertions in strtod_l.c.) * include/math-narrow-eval.h: New file. Contents moved from .... * sysdeps/generic/math_private.h: ... here. (math_narrow_eval): Remove macro. Moved to math-narrow-eval.h. [FLT_EVAL_METHOD != 0] (excess_precision): Likewise. * math/s_fdim_template.c: Include <math-narrow-eval.h>. * stdlib/strtod_l.c: Likewise. * sysdeps/i386/fpu/s_f32xaddf64.c: Likewise. * sysdeps/i386/fpu/s_f32xsubf64.c: Likewise. * sysdeps/i386/fpu/s_fdim.c: Likewise. * sysdeps/ieee754/dbl-64/e_cosh.c: Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c: Likewise. * sysdeps/ieee754/dbl-64/e_j1.c: Likewise. * sysdeps/ieee754/dbl-64/e_jn.c: Likewise. * sysdeps/ieee754/dbl-64/e_lgamma_r.c: Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c: Likewise. * sysdeps/ieee754/dbl-64/gamma_productf.c: Likewise. * sysdeps/ieee754/dbl-64/k_rem_pio2.c: Likewise. * sysdeps/ieee754/dbl-64/lgamma_neg.c: Likewise. * sysdeps/ieee754/dbl-64/s_erf.c: Likewise. * sysdeps/ieee754/dbl-64/s_llrint.c: Likewise. * sysdeps/ieee754/dbl-64/s_lrint.c: Likewise. * sysdeps/ieee754/flt-32/e_coshf.c: Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c: Likewise. * sysdeps/ieee754/flt-32/e_expf.c: Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c: Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Likewise. * sysdeps/ieee754/flt-32/e_jnf.c: Likewise. * sysdeps/ieee754/flt-32/e_lgammaf_r.c: Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c: Likewise. * sysdeps/ieee754/flt-32/k_rem_pio2f.c: Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c: Likewise. * sysdeps/ieee754/flt-32/s_erff.c: Likewise. * sysdeps/ieee754/flt-32/s_llrintf.c: Likewise. * sysdeps/ieee754/flt-32/s_lrintf.c: Likewise. * sysdeps/ieee754/ldbl-96/gamma_product.c: Likewise.
* Replace hidden_def with libm_hidden_def in mathTulio Magno Quites Machado Filho2018-04-303-6/+3
| | | | | | | | | | | | libm_hidden_def expand the parameters and do not require an extra layer of macros. These were the last 3 files in math/ still using hidden_def(). * math/w_exp_compat.c: Replace hidden_def with libm_hidden_def.. * math/w_expl_compat.c: Likewise. * math/w_exp_template.c: Likewise. Remove hidden_def_x. Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
* Replace M_SUF (M_LN2) with M_MLIT (M_LN2)Tulio Magno Quites Machado Filho2018-04-271-1/+1
| | | | | | | | | According to math-type-macros.h, M_SUF should be used to paste the suffix used by functions, while M_MLIT is used with macro constants. * math/e_exp2_template.c: Replace M_SUF (M_LN2) with M_MLIT (M_LN2). Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
* Replace M_SUF (fabs) with M_FABSTulio Magno Quites Machado Filho2018-04-273-4/+4
| | | | | | | | | | | | | math-type-macros.h provides the macro M_FABS in order to reference the correct fabs function for a specific type. In most of the cases, M_FABS is identical to M_SUF (fabs), but that may change in the future. * math/w_acos_template.c: Replace M_SUF (fabs) with M_FABS. * math/w_asin_template.c: Likewise. * math/w_atanh_template.c: Likewise. Signed-off-by: Tulio Magno Quites Machado Filho <tuliom@linux.ibm.com>
* Use volatile global counters in test-tgmath.c.Stefan Liebler2018-04-191-6/+6
| | | | | | | | | | | | | | | | | | | | | | | | If build with -Os on s390x, the test-tgmath fails with: float functions not called often enough (-10000) Within compile_testf(), the counter (count_float) is saved before the complex functions are called. Afterwards the saved counter differs to the current-counter. But the tests with the complex functions do not increment count_float! Instead count_float is saved to a register before calling totalorder and totalordermag which both increment count_float. The compiler is allowed to do that as totalorderf and totalordermagf is declared with __attribute__ ((__const__)) in math/bits/mathcalls.h. Thus this patch adjusts the global counters to be volatile. Then count_float is saved after totalordermag. ChangeLog: * math/test-tgmath.c (count_double, count_float, count_ldouble, count_cdouble, count_cfloat, count_cldouble): Use volatile int.
* Add narrowing subtract functions.Joseph Myers2018-03-208-2/+23830
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 support for sqrt asm redirectsWilco Dijkstra2018-03-154-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch series cleans up the many uses of __ieee754_sqrt(f/l) in GLIBC. The goal is to enable GCC to do the inlining, and if this fails call the __ieee754_sqrt function. This is done by internally declaring sqrt with asm redirects. The compat symbols and sqrt wrappers need to disable the redirect. The redirect is also disabled if there are already redirects defined when using -ffinite-math-only. All math functions (but not math tests, non-library code and libnldbl) are built with -fno-math-errno which means GCC will typically inline sqrt as a single instruction. This means targets are no longer forced to add a special inline for sqrt. * include/math.h (sqrt): Declare with asm redirect. (sqrtf): Likewise. (sqrtl): Likewise. (sqrtf128): Likewise. * Makeconfig: Add -fno-math-errno for libc/libm, but build testsuite, nonlib and libnldbl with -fmath-errno. * math/w_sqrt_compat.c: Define NO_MATH_REDIRECT. * math/w_sqrt_template.c: Likewise. * math/w_sqrtf_compat.c: Likewise. * math/w_sqrtl_compat.c: Likewise. * sysdeps/i386/fpu/w_sqrt.c: Likewise. * sysdeps/i386/fpu/w_sqrt_compat.c: Likewise. * sysdeps/generic/math-type-macros-float128.h: Remove math.h and complex.h.
* Remove mplog and mpexpWilco Dijkstra2018-02-151-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | Remove the now unused mplog and mpexp files. * math/Makefile: Remove mpexp.c and mplog.c * sysdeps/i386/fpu/mpexp.c: Delete file. * sysdeps/i386/fpu/mplog.c: Likewise. * sysdeps/ia64/fpu/mpexp.c: Likewise. * sysdeps/ia64/fpu/mplog.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp.c: Remove mention of mpexp and mplog. * sysdeps/ieee754/dbl-64/mpa.h (__pow_mp): Remove unused function. * sysdeps/ieee754/dbl-64/mpexp.c: Delete file. * sysdeps/ieee754/dbl-64/mplog.c: Likewise. * sysdeps/m68k/m680x0/fpu/mpexp.c: Likewise. * sysdeps/m68k/m680x0/fpu/mplog.c: Likewise. * sysdeps/x86_64/fpu/multiarch/Makefile: Remove mpexp* and mplog*. * sysdeps/x86_64/fpu/multiarch/e_log-avx.c: Remove unused defines. * sysdeps/x86_64/fpu/multiarch/e_log-fma.c: Likewise. * sysdeps/x86_64/fpu/multiarch/e_log-fma4.c: Likewise. * sysdeps/x86_64/fpu/multiarch/mpexp-avx.c: Delete file. * sysdeps/x86_64/fpu/multiarch/mpexp-fma.c: Likewise. * sysdeps/x86_64/fpu/multiarch/mpexp-fma4.c: Likewise. * sysdeps/x86_64/fpu/multiarch/mplog-avx.c: Likewise. * sysdeps/x86_64/fpu/multiarch/mplog-fma.c: Likewise. * sysdeps/x86_64/fpu/multiarch/mplog-fma4.c: Likewise.
* Remove slow paths from expSzabolcs Nagy2018-02-121-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | Remove the __slowexp code, so exp is no longer correctly rounded. The result is computed to about 70 bits precision so the worst case ulp error is about 0.500007 in nearest rounding mode. * manual/probes.texi: Remove slowexp probes. * math/Makefile: Remove slowexp. * sysdeps/generic/math_private.h (__slowexp): Remove. * sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Remove __slowexp and document error bounds. * sysdeps/i386/fpu/slowexp.c: Remove. * sysdeps/ia64/fpu/slowexp.c: Remove. * sysdeps/ieee754/dbl-64/slowexp.c: Remove. * sysdeps/ieee754/dbl-64/uexp.h (err_0): Remove. * sysdeps/m68k/m680x0/fpu/slowexp.c: Remove. * sysdeps/powerpc/power4/fpu/Makefile (CPPFLAGS-slowexp.c): Remove. * sysdeps/x86_64/fpu/multiarch/Makefile: Remove slowexp-fma. * sysdeps/x86_64/fpu/multiarch/e_exp-avx.c (__slowexp): Remove. * sysdeps/x86_64/fpu/multiarch/e_exp-fma.c (__slowexp): Remove. * sysdeps/x86_64/fpu/multiarch/e_exp-fma4.c (__slowexp): Remove. * sysdeps/x86_64/fpu/multiarch/slowexp-avx.c: Remove. * sysdeps/x86_64/fpu/multiarch/slowexp-fma.c: Remove. * sysdeps/x86_64/fpu/multiarch/slowexp-fma4.c: Remove.
* Remove slow paths from powWilco Dijkstra2018-02-121-2/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Remove the slow paths from pow. Like several other double precision math functions, pow is exactly rounded. This is not required from math functions and causes major overheads as it requires multiple fallbacks using higher precision arithmetic if a result is close to 0.5ULP. Ridiculous slowdowns of up to 100000x have been reported when the highest precision path triggers. All GLIBC math tests pass on AArch64 and x64 (with ULP of pow set to 1). The worst case error is ~0.506ULP. A simple test over a few hundred million values shows pow is 10% faster on average. This fixes BZ #13932. [BZ #13932] * sysdeps/ieee754/dbl-64/uexp.h (err_1): Remove. * benchtests/pow-inputs: Update comment for slow path cases. * manual/probes.texi (slowpow_p10): Delete removed probe. (slowpow_p10): Likewise. * math/Makefile: Remove halfulp.c and slowpow.c. * sysdeps/aarch64/libm-test-ulps: Set ULP of pow to 1. * sysdeps/generic/math_private.h (__exp1): Remove error argument. (__halfulp): Remove. (__slowpow): Remove. * sysdeps/i386/fpu/halfulp.c: Delete file. * sysdeps/i386/fpu/slowpow.c: Likewise. * sysdeps/ia64/fpu/halfulp.c: Likewise. * sysdeps/ia64/fpu/slowpow.c: Likewise. * sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove error argument, improve comments and add error analysis. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Add error analysis. (power1): Remove function: (log1): Remove error argument, add error analysis. (my_log2): Remove function. * sysdeps/ieee754/dbl-64/halfulp.c: Delete file. * sysdeps/ieee754/dbl-64/slowpow.c: Likewise. * sysdeps/m68k/m680x0/fpu/halfulp.c: Likewise. * sysdeps/m68k/m680x0/fpu/slowpow.c: Likewise. * sysdeps/powerpc/power4/fpu/Makefile: Remove CPPFLAGS-slowpow.c. * sysdeps/x86_64/fpu/libm-test-ulps: Set ULP of pow to 1. * sysdeps/x86_64/fpu/multiarch/Makefile: Remove slowpow-fma.c, slowpow-fma4.c, halfulp-fma.c, halfulp-fma4.c. * sysdeps/x86_64/fpu/multiarch/e_pow-fma.c (__slowpow): Remove define. * sysdeps/x86_64/fpu/multiarch/e_pow-fma4.c (__slowpow): Likewise. * sysdeps/x86_64/fpu/multiarch/halfulp-fma.c: Delete file. * sysdeps/x86_64/fpu/multiarch/halfulp-fma4.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowpow-fma.c: Likewise. * sysdeps/x86_64/fpu/multiarch/slowpow-fma4.c: Likewise.
* Add narrowing add functions.Joseph Myers2018-02-108-2/+23834
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Handle narrowing function sNaN test disabling based on argument format.Joseph Myers2018-02-093-1/+9
| | | | | | | | | | | | | | | | | Testing narrowing functions for x86_64 with GCC 6 showed up a further testsuite fix needed: there is no _Float128 sNaN support before GCC 7 on x86_64 / x86, and the existing tests of SNAN_TESTS only checked it for the return type, not for the argument type. This patch fixes the code to check SNAN_TESTS (ARG_FLOAT) as well (in a variable set in libm-test-driver.c, since libm-test-support.c is compiled only once for each choice of FLOAT). Tested for x86_64 and x86 with GCC 6 in conjunction with the main patch adding narrowing add functions. * math/libm-test-driver.c (snan_tests_arg): New variable. * math/libm-test-support.h (snan_tests_arg): New declaration. * math/libm-test-support.c (enable_test): Check snan_tests_arg.
* Add test infrastructure for narrowing libm functions.Joseph Myers2018-02-0924-57/+580
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch continues preparations for adding TS 18661-1 narrowing libm functions by adding the required testsuite infrastructure to test such functions through the libm-test infrastructure. That infrastructure is based around testing for a single type, FLOAT. For the narrowing functions, FLOAT, the "main" type for testing, is the function return type; the argument type is ARG_FLOAT. This is consistent with how the code built once for each type, libm-test-support.c, depends on FLOAT for such things as calculating ulps errors in results but can already handle different argument types (pointers, integers, long double for nexttoward). Makefile machinery is added to handle building tests for all pairs of types for which there are narrowing functions (as with non-narrowing functions, aliases are tested just the same as the functions they alias). gen-auto-libm-tests gains a --narrow option for building outputs for narrowing functions (so narrowing sqrt and fma will share the same inputs as non-narrowing, but gen-auto-libm-tests will be run with and without that option to generate different output files). In the narrowing case, the auto-libm-test-out-narrow-* files include annotations for each test about what properties ARG_FLOAT must have to be able to represent all the inputs for that test; those annotations result in calls to the TEST_COND_arg_fmt macro. gen-libm-test.pl has some minor updates to handle narrowing tests (for example, arguments in such tests must be surrounded by ARG_LIT calls instead of LIT calls). Various new macros are added to the C test support code (for example, sNaN initializers need to be properly typed, so arg_snan_value is added; other such arg_* macros are added as it seems cleanest to do so, though some are not strictly required). Special-casing of the ibm128 format to allow for its limitations is adjusted to handle it as the argument format as well as as the result format; thus, the tests of the new functions allow nonzero ulps only in the case where ibm128 is the argument format, as otherwise the functions correspond to fully-defined IEEE operations. The ulps in question appear as e.g. 'Function: "add_ldouble"' in libm-test-ulps (with 1ulp errors then listed for double and float for that function in powerpc); no support is added to generate corresponding faddl / daddl ulps listings in the ulps table in the manual. For the previous patch, I noted the need to avoid spurious macro expansions of identifiers such as "add". A test test-narrow-macros.c is added to verify such macro expansions are successfully avoided, and there is also a -mlong-double-64 version of that test for ldbl-opt. This test is set up to cover the full set of relevant identifiers from the start rather than adding functions one at a time as each function group is added. Tested for x86_64 (this patch in isolation, as well as testing for various configurations in conjunction with the actual addition of "add" functions). * math/Makefile (test-type-pairs): New variable. (test-type-pairs-f64xf128-yes): Likewise. (tests): Add test-narrow-macros. (libm-test-funcs-narrow): New variable. (libm-test-c-narrow): Likewise. (generated): Add $(libm-test-c-narrow). (libm-tests-base-narrow): New variable. (libm-tests-narrow): Likewise. (libm-tests): Add $(libm-tests-narrow). (libm-tests-for-type): Handle $(libm-tests-narrow). (libm-test-c-narrow-obj): New variable. ($(libm-test-c-narrow-obj)): New rule. ($(foreach t,$(libm-tests-narrow),$(objpfx)$(t).c)): Likewise. ($(foreach f,$(libm-test-funcs-narrow),$(objpfx)$(o)-$(f).o)): Use $(o-iterator) to set dependencies and CFLAGS. * math/gen-auto-libm-tests.c: Document use for narrowing functions. (output_for_one_input_case): Take argument NARROW. (generate_output): Likewise. Update call to output_for_one_input_case. (main): Take --narrow option. Update call to generate_output. * math/gen-libm-test.pl (_apply_lit): Take macro name as argument. (apply_lit): Update call to _apply_lit. (apply_arglit): New function. (parse_args): Handle "a" arguments. (parse_auto_input): Handle format names using ":". * math/README.libm-test: Document "a" parameter type. * math/libm-test-support.h (ARG_TYPE_MIN): New macro. (ARG_TYPE_TRUE_MIN): Likewise. (ARG_TYPE_MAX): Likwise. (ARG_MIN_EXP): Likewise. (ARG_MAX_EXP): Likewise. (ARG_MANT_DIG): Likewise. (TEST_COND_arg_ibm128): Likewise. (TEST_COND_ibm128_libgcc): Define conditional on [ARG_FLOAT]. (TEST_COND_arg_fmt): New macro. (init_max_error): Update prototype. * math/libm-test-support.c (test_ibm128): New variable. (init_max_error): Take argument testing_ibm128 and set test_ibm128 instead of using [TEST_COND_ibm128] conditional. (test_exceptions): Use test_ibm128 instead of TEST_COND_ibm128. * math/libm-test-driver.c (STR_ARG_FLOAT): New macro. [TEST_NARROW] (TEST_MSG): New definition. (arg_plus_zero): New macro. (arg_minus_zero): Likewise. (arg_plus_infty): Likewise. (arg_minus_infty): Likewise. (arg_qnan_value_pl): Likewise. (arg_qnan_value): Likewise. (arg_snan_value_pl): Likewise. (arg_snan_value): Likewise. (arg_max_value): Likewise. (arg_min_value): Likewise. (arg_min_subnorm_value): Likewise. [ARG_FLOAT] (struct test_aa_f_data): New struct type. (RUN_TEST_LOOP_aa_f): New macro. (TEST_SUFF): New macro. (TEST_SUFF_STR): Likewise. [!TEST_MATHVEC] (VEC_SUFF): Don't define. (TEST_COND_any_ibm128): New macro. (START): Use TEST_SUFF and TEST_SUFF_STR in initializer for this_func. Update call to init_max_error. * math/test-double.h (FUNC_NARROW_PREFIX): New macro. * math/test-float.h (FUNC_NARROW_PREFIX): Likewise. * math/test-float128.h (FUNC_NARROW_PREFIX): Likewise. * math/test-float32.h (FUNC_NARROW_PREFIX): Likewise. * math/test-float32x.h (FUNC_NARROW_PREFIX): Likewise. * math/test-float64.h (FUNC_NARROW_PREFIX): Likewise. * math/test-float64x.h (FUNC_NARROW_PREFIX): Likewise. * math/test-math-scalar.h (TEST_NARROW): Likewise. * math/test-math-vector.h (TEST_NARROW): Likewise. * math/test-arg-double.h: New file. * math/test-arg-float128.h: Likewise. * math/test-arg-float32x.h: Likewise. * math/test-arg-float64.h: Likewise. * math/test-arg-float64x.h: Likewise. * math/test-arg-ldouble.h: Likewise. * math/test-math-narrow.h: Likewise. * math/test-narrow-macros.c: Likewise. * sysdeps/ieee754/ldbl-opt/test-narrow-macros-ldbl-64.c: Likewise. * sysdeps/ieee754/ldbl-opt/Makefile (tests): Add test-narrow-macros-ldbl-64. (CFLAGS-test-narrow-macros-ldbl-64.c): New variable.
* Add build infrastructure for narrowing libm functions.Joseph Myers2018-02-094-1/+464
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | TS 18661-1 defines libm functions that carry out an operation (+ - * / sqrt fma) on their arguments and return a result rounded to a (usually) narrower type, as if the original result were computed to infinite precision and then rounded directly to the result type without any intermediate rounding to the argument type. For example, fadd, faddl and daddl for addition. These are the last remaining TS 18661-1 functions left to be added to glibc. TS 18661-3 extends this to corresponding functions for _FloatN and _FloatNx types. As functions parametrized by two rather than one varying floating-point types, these functions require infrastructure in glibc that was not required for previous libm functions. This patch provides such infrastructure - excluding test support, and actual function implementations, which will be in subsequent patches. Declaring the functions uses a header bits/mathcalls-narrow.h, which is included many times, for each relevant pair of types. This will end up containing macro calls of the form __MATHCALL_NARROW (__MATHCALL_NAME (add), __MATHCALL_REDIR_NAME (add), 2); for each family of narrowing functions. (The structure of this macro call, with the calls to __MATHCALL_NAME and __MATHCALL_REDIR_NAME there rather than in the definition of __MATHCALL_NARROW, arises from the names such as "add" *not* themselves being reserved identifiers - meaning it's necessary to avoid any indirection that would result in a user-defined "add" macro being expanded.) Whereas for existing functions declaring long double functions is disabled if _LIBC in the case where they alias double functions, to facilitate defining the long double functions as aliases of the double ones, there is no such logic for the narrowing functions in this patch. Rather, the files defining such functions are expected to use #define to hide the original declarations of the alias names, to avoid errors about defining aliases with incompatible types. math/Makefile support is added for building the functions (listed in libm-narrow-fns, currently empty) for all relevant pairs of types. An internal header math-narrow.h is added for macros shared between multiple function implementations - currently a ROUND_TO_ODD macro to facilitate writing functions using the round-to-odd implementation approach, and alias macros to create all the required function aliases. libc_feholdexcept_setroundf128 and libc_feupdateenv_testf128 are added for use when required (only for x86_64). float128_private.h support is added for ldbl-128 narrowing functions to be used for _Float128. Certain things are specifically omitted from this patch and the immediate followups. tgmath.h support is deferred; there remain unresolved questions about how the type-generic macros for these functions are supposed to work, especially in the case of arguments of integer type. The math.h / bits/mathcalls-narrow.h logic, and the logic for determining what functions / aliases to define, will need some adjustments to support the sqrt and fma functions, where e.g. f32xsqrtf64 can just be an alias for sqrt rather than a separate function. TS 18661-1 defines FP_FAST_* macros but no support is included for defining them (they won't in general be true without architecture-specific optimized function versions). For each of the function groups (add sub mul div sqrt fma) there are always six functions present (e.g. fadd, faddl, daddl, f32addf64, f32addf32x, f32xaddf64). When _Float64x and _Float128 are supported, there are seven more (e.g. f32addf64x, f32addf128, f64addf64x, f64addf128, f32xaddf64x, f32xaddf128, f64xaddf128). In addition, in the ldbl-opt case there are function names such as __nldbl_daddl (an alias for f32xaddf64, which is not a reserved name in TS 18661-1, only in TS 18661-3), for calls to daddl to be mapped to in the -mlong-double-64 case. (Calls to faddl just get mapped to fadd, and for sqrt and fma there won't be __nldbl_* functions because dsqrtl and dfmal can just be mapped to sqrt and fma with -mlong-double-64.) While there are six or thirteen functions present in each group (plus __nldbl_* names only as an ABI, not an API), not all are distinct; they fall in various groups of aliases. There are two distinct versions built if long double has the same format as double; four if they have distinct formats but there is no _Float64x or _Float128 support; five if long double has binary128 format; seven when _Float128 is distinct from long double. Architecture-specific optimized versions are possible, but not included in my patches. For example, IA64 generally supports narrowing the result of most floating-point instructions; Power ISA 2.07 (POWER8) supports double values as arguments to float instructions, with the results narrowed as expected; Power ISA 3 (POWER9) supports round-to-odd for float128 instructions, so meaning that approach can be used without needing to set and restore the rounding mode and test "inexact". I intend to leave any such optimized versions to the architecture maintainers. Generally in such cases it would also make sense for calls to these functions to be expanded inline (given -fno-math-errno); I put a suggestion for TS 18661-1 built-in functions at <https://gcc.gnu.org/wiki/SummerOfCode>. Tested for x86_64 (this patch in isolation, as well as testing for various configurations in conjunction with further patches). * math/bits/mathcalls-narrow.h: New file. * include/bits/mathcalls-narrow.h: Likewise. * math/math-narrow.h: Likewise. * math/math.h (__MATHCALL_NARROW_ARGS_1): New macro. (__MATHCALL_NARROW_ARGS_2): Likewise. (__MATHCALL_NARROW_ARGS_3): Likewise. (__MATHCALL_NARROW_NORMAL): Likewise. (__MATHCALL_NARROW_REDIR): Likewise. (__MATHCALL_NARROW): Likewise. [__GLIBC_USE (IEC_60559_BFP_EXT)]: Repeatedly include <bits/mathcalls-narrow.h> with _Mret_, _Marg_ and __MATHCALL_NAME defined. [__GLIBC_USE (IEC_60559_TYPES_EXT)]: Likewise. * math/Makefile (headers): Add bits/mathcalls-narrow.h. (libm-narrow-fns): New variable. (libm-narrow-types-basic): Likewise. (libm-narrow-types-ldouble-yes): Likewise. (libm-narrow-types-float128-yes): Likewise. (libm-narrow-types-float128-alias-yes): Likewise. (libm-narrow-types): Likewise. (libm-routines): Add narrowing functions. * sysdeps/i386/fpu/fenv_private.h [__x86_64__] (libc_feholdexcept_setroundf128): New macro. [__x86_64__] (libc_feupdateenv_testf128): Likewise. * sysdeps/ieee754/float128/float128_private.h: Include <math/math-narrow.h>. [libc_feholdexcept_setroundf128] (libc_feholdexcept_setroundl): Undefine and redefine. [libc_feupdateenv_testf128] (libc_feupdateenv_testl): Likewise. (libm_alias_float_ldouble): Undefine and redefine. (libm_alias_double_ldouble): Likewise.
* Remove unused math/Makefile variable libm-test-incs.Joseph Myers2018-02-091-2/+0
| | | | | | | | | The math/Makefile variable libm-test-incs was formerly used, but no longer is. This patch removes it. Tested for x86_64. * math/Makefile [$(PERL) != no] (libm-test-incs): Remove variable.
* Improve math_errhandlingWilco Dijkstra2018-01-031-4/+10
| | | | | | | | | | | Currently math_errhandling is always set to MATH_ERRNO | MATH_ERREXCEPT even if -fno-math-errno is used. It is not defined at all when fast-math is used. Set it to 0 with fast-math - this is noncomforming but more useful than not define math_errhandling at all. Also take __NO_MATH_ERRNO__ into account and update comment. * math/math.h (math_errhandling): Set to 0 with __FAST_MATH__. Add __NO_MATH_ERRNO__ check.
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