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* Fix erfcf spurious underflows (bug 18217).Joseph Myers2015-05-152-0/+52
| | | | | | | | | | | | | | | | | | The flt-32 implementation of erfcf produces spurious underflow exceptions for some arguments close to 0, because of calculations squaring the argument and then multiplying by small constants. This patch fixes this by adjusting the threshold for arguments for which the result is so close to 1 that 1 - x will give the right result from 2**-56 to 2**-26. (If 1 - x * 2/sqrt(pi) were used, the errors would be on the order of x^3 and a much larger threshold could be used.) Tested for x86_64 and x86. [BZ #18217] * sysdeps/ieee754/flt-32/s_erff.c (__erfcf): Use 2**-26 not 2**-56 as threshold for returning 1 - x. * math/auto-libm-test-in: Add more tests of erfc. * math/auto-libm-test-out: Regenerated.
* Fix atanf spurious underflows (bug 18196).Joseph Myers2015-05-142-0/+26
| | | | | | | | | | | | | | | | The sysdeps/ieee754/flt-32 version of atanf produces spurious underflow exceptions for some large arguments, because of computations that compute x^-4. This patch fixes this by adjusting the threshold for large arguments (for which +/- pi/2 can just be returned, the correct result being roughly +/- pi/2 - 1/x) from 2^34 to 2^25. Tested for x86_64 and x86. [BZ #18196] * sysdeps/ieee754/flt-32/s_atanf.c (__atanf): Use 2^25 not 2^34 as threshold for large arguments. * math/auto-libm-test-in: Add another test of atan. * math/auto-libm-test-out: Regenerated.
* Fix log1p missing underflows (bug 16339).Joseph Myers2015-05-142-105/+104
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some log1p implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. (The ldbl-128ibm implementation doesn't currently need any change as it already generates this exception, albeit through code that would generate spurious exceptions in other cases; special code for this issue will only be needed there when fixing the spurious exceptions.) Tested for x86_64, x86, powerpc and mips64. [BZ #16339] * sysdeps/i386/fpu/s_log1p.S (dbl_min): New object. (__log1p): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/s_log1pf.S (flt_min): New object. (__log1pf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/s_log1p.c: Include <float.h>. (__log1p): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/s_log1pf.c: Include <float.h>. (__log1pf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/s_log1pl.c: Include <float.h>. (__log1pl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from log1p. * math/auto-libm-test-out: Regenerated.
* This is update for configure, build and install of vector math library.Andrew Senkevich2015-05-141-0/+16
| | | | | | | | | | | | | | | Installation of libm.so as linker script only in case of libmvec.so build. 2015-05-14 Andrew Senkevich <andrew.n.senkevich@gmail.com> * Makeconfig (rpath-dirs, all-subdirs): Added mathvec folder. (libmvec): New variable. * configure.ac: Added option for mathvec build. * configure: Regenerated. * mathvec/Depend: New file. * mathvec/Makefile: New file. * shlib-versions: Added libmvec. * math/Makefile: Added rule for libm.so installation.
* This patch adds infrastructure for addition of SIMDAndrew Senkevich2015-05-142-1/+11
| | | | | | | | | | | | | | declarations for math functions in math.h. Added new headers math-vector.h (only generic version for now) and libm-simd-decl-stubs.h with empty definitions required for proper unfolding of new macros __MATHCALL_VEC which will be used for declaration of vector math functions. 2015-05-14 Andrew Senkevich <andrew.senkevich@intel.com> * bits/math-vector.h: New file. * bits/libm-simd-decl-stubs.h: New header. * math/Makefile (headers): Added new header libm-simd-decl-stubs.h. * math/math.h (__MATHCALL_VEC): New macro.
* Last part of changes regarding to libm-test.inc: additionAndrew Senkevich2015-05-143-5/+58
| | | | | | | | | | | | | of method for separation which exactly testing function needed to run with help of generated during make check header with series of conditional definitions. 2015-05-14 Andrew Senkevich <andrew.senkevich@intel.com> * math/gen-libm-have-vector-test.sh: Script generates series of macros for conditions in testing functions. * math/Makefile: Added call of libm-have-vector-test.sh. * math/libm-test.inc (HAVE_VECTOR): New macros.
* Refactoring of START for conditions in individual testsAndrew Senkevich2015-05-147-10/+28
| | | | | | | | | | | | | | | | and addition of macros used for runtime architecture check. 2015-05-14 Andrew Senkevich <andrew.senkevich@intel.com> * math/libm-test.inc: START refactored. * math/test-double.c (TEST_MATHVEC): Add define. * math/test-float.c: Likewise. * math/test-idouble.c: Likewise. * math/test-ifloat.c: Likewise. * math/test-ildoubl.c: Likewise. * math/test-ldouble.c: Likewise. * sysdeps/generic/math-tests-arch.h (INIT_ARCH_EXT, CHECK_ARCH_EXT): New helper macros for runtime architecture check.
* This is the beginning of series of patches with additionAndrew Senkevich2015-05-147-18/+24
| | | | | | | | | | | | | | | | | of vector math functions infrastructure and several x86_64 implementations. This patch is preparatory change in libm-test.c - splitting of macros which form name of tested functions for ability to use separate name for tested functions and for functions used in test suite infrastructure. 2015-05-14 Andrew Senkevich <andrew.senkevich@intel.com> * math/test-double.c (FUNC_TEST): New macro. * math/test-float.c: Likewise. * math/test-idouble.c: Likewise. * math/test-ifloat.c: Likewise. * math/test-ildoubl.c: Likewise. * math/test-ldouble.c: Likewise. * math/libm-test.inc: Use FUNC_TEST for name of tested functions.
* Add more tests of csqrt, lgamma, log10, sinh.Joseph Myers2015-05-082-0/+148
| | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of csqrt, lgamma, log10 and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of acosh, atanh, cos, csqrt, erfc, sin, sincos.Joseph Myers2015-05-062-0/+340
| | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, atanh, cos, csqrt, erfc, sin and sincos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add further tests of libm functions.Joseph Myers2015-05-052-0/+2836
| | | | | | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. (This process must eventually converge, when my random test generation stops finding inputs that increase the listed ulps, except maybe for any cases uncovered where the errors exceed the maximum allowed 9ulp error and so indicate actual libm bugs needing fixing.) Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, atanh, clog, clog10, csqrt, erfc, exp2, expm1, log10, log2 and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of libm functions.Joseph Myers2015-05-022-0/+944
| | | | | | | | | | | | | | This patch adds more randomly-generated tests of various libm functions that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atan, clog, clog10, cos, csqrt, erf, erfc, exp2, lgamma, log1p, sin, sincos, tanh and tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tgamma.Joseph Myers2015-05-012-0/+203
| | | | | | | | | | | | This patch adds some randomly-generated tests of tgamma that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tanh.Joseph Myers2015-05-012-0/+304
| | | | | | | | | | | | This patch adds some randomly-generated tests of tanh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of tan.Joseph Myers2015-05-012-0/+52
| | | | | | | | | | | | This patch adds some randomly-generated tests of tan that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of tan. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of cos, sin, sincos.Joseph Myers2015-05-012-0/+138
| | | | | | | | | | | | This patch adds some randomly-generated tests of cos, sin and sincos that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cos, sin and sincos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add another test of pow.Joseph Myers2015-05-012-0/+26
| | | | | | | | | | | This patch adds a randomly-generated test of pow that is observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Add more tests of lgamma.Joseph Myers2015-05-012-0/+227
| | | | | | | | | | | | This patch adds some randomly-generated tests of lgamma that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of log, log10, log1p, log2.Joseph Myers2015-05-012-0/+851
| | | | | | | | | | | | | This patch adds some randomly-generated tests of log, log10, log1p and log2 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of log, log10, log2 and log1p. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of exp, exp10, exp2, expm1.Joseph Myers2015-05-012-0/+483
| | | | | | | | | | | | | This patch adds some randomly-generated tests of exp, exp10, exp2 and expm1 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of exp, exp10, exp2 and expm1. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of erf, erfc.Joseph Myers2015-05-012-0/+438
| | | | | | | | | | | | This patch adds some randomly-generated tests of erf and erfc that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of erf and erfc. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of csqrt.Joseph Myers2015-04-302-0/+515
| | | | | | | | | | | | This patch adds some randomly-generated tests of csqrt that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of csqrt. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add further tests of cosh and sinh.Joseph Myers2015-04-302-0/+378
| | | | | | | | | | | | This patch adds some further randomly-generated tests of cosh and sinh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cosh and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix ldbl-128 roundl for exponents in [31, 47] (bug 18346).Joseph Myers2015-04-281-0/+11
| | | | | | | | | | | | | | | | | | | | | | | | | | | The implementation of roundl for ldbl-128 involves undefined behavior for arguments with exponents from 31 to 47 inclusive, from the shift: u_int64_t i = -1ULL >> (j0 - 48); For example, on mips64, this means roundl (0xffffffffffff.8p0L) wrongly returns its argument, which is not an integer. A condition checking for exponents < 31 should actually be checking for exponents < 48, and this patch makes it do so. (That condition is for whether the bit representing 0.5 is in the high 64-bit half of the floating-point number. The value 31 might have arisen from an incorrect conversion of the ldbl-96 version to handle ldbl-128.) This was originally reported as a GCC libquadmath bug <https://gcc.gnu.org/bugzilla/show_bug.cgi?id=65757>. Tested for mips64; also tested for x86_64 and x86 to make sure the new tests pass there. [BZ #18346] * sysdeps/ieee754/ldbl-128/s_roundl.c (__roundl): Handle all exponents less than 48 as cases where high part of mantissa needs examining to determine whether argument is integral. * math/libm-test.inc (round_test_data): Add more tests.
* Use __copysign rather than copysign.Wilco Dijkstra2015-04-221-1/+1
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* Set errno for log1p on pole/domain error.Stefan Liebler2015-04-136-6/+118
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | According to bug 6792, errno is not set to ERANGE/EDOM by calling log1p/log1pf/log1pl with x = -1 or x < -1. This patch adds a wrapper which sets errno in those cases and returns the value of the existing __log1p function. The log1p is now an alias to the wrapper function instead of __log1p. The files in sysdeps are reflecting these changes. The ia64 implementation sets errno by itself, thus the wrapper-file is empty. The libm-test is adjusted for log1p-tests to check errno. [BZ #6792] * math/w_log1p.c: New file. * math/w_log1pf.c: Likewise. * math/w_log1pl.c: Likewise. * math/Makefile (libm-calls): Add w_log1p. * math/s_log1pl.c (log1pl): Remove weak_alias. * sysdeps/i386/fpu/s_log1p.S (log1p): Likewise. * sysdeps/i386/fpu/s_log1pf.S (log1pf): Likewise. * sysdeps/i386/fpu/s_log1pl.S (log1pl): Likewise. * sysdeps/x86_64/fpu/s_log1pl.S (log1pl): Likewise. * sysdeps/ieee754/dbl-64/s_log1p.c (log1p): Likewise. [NO_LONG_DOUBLE] (log1pl): Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c (log1pf): Likewise. * sysdeps/ieee754/ldbl-128/s_log1pl.c (log1pl): Likewise. * sysdeps/ieee754/ldbl-64-128/s_log1pl.c (log1p): Remove long_double_symbol. * sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (log1pl): Likewise. * sysdeps/ieee754/ldbl-64-128/w_log1pl.c: New file. * sysdeps/ieee754/ldbl-128ibm/w_log1pl.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_log1p.c: Define empty weak_alias to remove weak_alias for corresponding log1p function. * sysdeps/m68k/m680x0/fpu/s_log1pf.c: Likewise. * sysdeps/m68k/m680x0/fpu/s_log1pl.c: Likewise. * sysdeps/ia64/fpu/w_log1p.c: New file. * sysdeps/ia64/fpu/w_log1pf.c: Likewise. * sysdeps/ia64/fpu/w_log1pl.c: Likewise. * math/libm-test.inc (log1p_test_data): Add errno expectations.
* Add more tests of clog and clog10.Joseph Myers2015-04-092-0/+1470
| | | | | | | | | | | | This patch adds some randomly-generated tests of clog and clog10 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of atanh.Joseph Myers2015-04-082-0/+132
| | | | | | | | | | | | This patch adds some randomly-generated tests of atanh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of atan.Joseph Myers2015-04-082-0/+78
| | | | | | | | | | | | This patch adds some randomly-generated tests of atan that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of atan. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of cbrt.Joseph Myers2015-04-082-0/+192
| | | | | | | | | | | This patch adds some randomly-generated tests of cbrt that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cbrt. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Add more tests of cabs.Joseph Myers2015-04-082-0/+156
| | | | | | | | | | | | This patch adds some randomly-generated tests of cabs that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cabs. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix dbl-64 atan2 in non-default rounding modes (bug 18210, bug 18211).Joseph Myers2015-04-082-0/+834
| | | | | | | | | | | | | | | | | | | | | | The dbl-64 implementation of atan2 does computations that expect to run in round-to-nearest mode, and in other modes the errors can accumulate to more than the maximum accepted 9ulp. This patch makes it use FE_TONEAREST internally, similar to other functions with such issues. Tests that previously produced large errors are added for atan2 and the closely related carg, clog and clog10 functions. Tested for x86_64 and x86 and ulps updated accordingly. [BZ #18210] [BZ #18211] * sysdeps/ieee754/dbl-64/e_atan2.c: Include <fenv.h>. (__ieee754_atan2): Set FE_TONEAREST mode for internal computations. * math/auto-libm-test-in: Add more tests of atan2, carg, clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix dbl-64 atan in non-default rounding modes (bug 18197).Joseph Myers2015-04-082-0/+52
| | | | | | | | | | | | | | | The dbl-64 implementation of atan does computations that expect to run in round-to-nearest mode, and in other modes the errors can accumulate to more than the maximum accepted 9ulp. This patch makes it use FE_TONEAREST internally, similar to other functions with such issues. Tested for x86_64 and x86; no ulps updates needed. [BZ #18197] * sysdeps/ieee754/dbl-64/s_atan.c: Include <fenv.h>. (atan): Set FE_TONEAREST mode for internal computations. * math/auto-libm-test-in: Add more tests of atan. * math/auto-libm-test-out: Regenerated.
* math/test-fenvinline: Cast fe_exc to unsigned int before printingRichard Henderson2015-04-061-2/+2
| | | | | | On Alpha and IA-64, fexcept_t is unsigned long. But all the values fit within an int, so the cast is ok for printing. All other hosts use unsigned int or unsigned short already.
* Add more tests of acosh, asinh and atanh.Joseph Myers2015-03-252-0/+784
| | | | | | | | | | | | | This patch adds some randomly-generated tests of acosh, asinh and atanh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acosh, asinh and atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add another test of asin.Joseph Myers2015-03-252-0/+26
| | | | | | | | | | | | This patch adds a randomly-generated test of asin that is observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add another test of asin. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of asin.Joseph Myers2015-03-252-0/+228
| | | | | | | | | | | | This patch adds some randomly-generated tests of asin that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of asin. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of acos.Joseph Myers2015-03-252-0/+404
| | | | | | | | | | | | This patch adds some randomly-generated tests of acos that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of acos. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of expm1.Joseph Myers2015-03-252-0/+308
| | | | | | | | | | | | This patch adds some randomly-generated tests of expm1 that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of expm1. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of cosh, sinh.Joseph Myers2015-03-242-0/+542
| | | | | | | | | | | | This patch adds some randomly-generated tests of cosh and sinh that are observed to increase ulps on x86_64. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of cosh and sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add more tests of log2.Joseph Myers2015-03-242-0/+324
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | In testing for x86_64 on an AMD processor, I observed libm test failures of the form: testing long double (without inline functions) Failure: Test: log2_downward (0x2.b7e151628aed4p+0) Result: is: 1.44269504088896356633e+00 0xb.8aa3b295c17f67600000p-3 should be: 1.44269504088896356622e+00 0xb.8aa3b295c17f67500000p-3 difference: 1.08420217248550443400e-19 0x8.00000000000000000000p-66 ulp : 1.0000 max.ulp : 0.0000 Maximal error of `log2_downward' is : 1 ulp accepted: 0 ulp These issues arise because the maximum ulps when regenerating on one processor are not the same as on another processor, so regeneration on several processors may be needed when updating libm-test-ulps to avoid failures for some users testing glibc - but such regeneration on multiple processors is inconvenient. Causes can be: on x86 and, for x86_64, for long double, variation in results of x87 instructions for transcendental operations between processors; on x86, variation in compiler excess precision between compiler versions and configurations; on any processor where the compiler may contract expressions using fused multiply-add, variation in what contraction occurs. Although it's hard to be sure libm-test-ulps covers all ulps that may be seen in any configuration for the given architecture, in practice it helps simply to add wider test coverage to make it more likely that, when testing on one processor, the ulps seen are the biggest that can be seen for that function on that processor, and hopefully they are also the biggest that can be seen for that function in other configurations for that architecture. Thus, this patch adds some tests of log2 that increase the ulps I see on x86_64 on an Intel processor, so that hopefully future from-scratch regenerations on that processor will produce ulps big enough not to have errors from testing on AMD processors. These tests were found by randomly generating inputs and seeing what produced ulps larger than those currently in libm-test-ulps. Of course such increases also improve the accuracy of the empirical table of known ulps generated from libm-test-ulps files that goes in the manual. Tested for x86_64 and x86 and ulps updated accordingly. * math/auto-libm-test-in: Add more tests of log2. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Add test for bug 18104.Joseph Myers2015-03-102-0/+46
| | | | | | [BZ #18104] * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated.
* powerpc: Fix inline feraiseexcept, feclearexcept macrosAdhemerval Zanella2015-03-032-1/+353
| | | | | | | This patch fixes the inline feraiseexcept and feclearexcept macros for powerpc by casting the input argument to integer before operation on it. It fixes BZ#17776.
* Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047).Joseph Myers2015-02-272-0/+906
| | | | | | | | | | | | | | | | | | | | | | | | | The threshold in ldbl-96 atanhl for when to return the argument, 0x1p-28, is a bit too big, and that in ldbl-128ibm atanhl is much too big (the relevant condition being x^3/3 being < 0.5ulp of x), resulting in errors a bit above the limits of those considered acceptable in glibc in the ldbl-96 case, and in large errors in the ldbl-128ibm case. This patch changes those implementations to use more appropriate thresholds and adds tests around the thresholds for various formats. Tested for x86_64, x86 and powerpc. x86_64 and x86 ulps updated accordingly. [BZ #18046] [BZ #18047] * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use 0x1p-56L as threshold for just returning the argument. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use 0x1p-32L as threshold for just returning the argument. * math/auto-libm-test-in: Add more tests of atanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
* Fix ldbl-128/ldbl-128ibm acosl inaccuracy (bug 18038, bug 18039).Joseph Myers2015-02-262-0/+806
| | | | | | | | | | | | | | | | | | | | | The ldbl-128 and ldbl-128ibm implementations of acosl have similar bugs, using a threshold of 0x1p-57L to determine when they just return pi/2. Since the result pi/2 - asinl (x) is roughly pi/2 - x for small x, the relevant cut-off is actually x being < 0.5ulp of 1. This patch fixes the implementations to use that cut-off and adds tests of small acos arguments. Tested for powerpc and mips64. Also tested for x86_64 and x86; no ulps updates needed. [BZ #18038] [BZ #18039] * sysdeps/ieee754/ldbl-128/e_acosl.c (__ieee754_acosl): Only return pi/2 for arguments below 0x1p-113L. * sysdeps/ieee754/ldbl-128ibm/e_acosl.c (__ieee754_acosl): Only return pi/2 for arguments below 0x1p-106L. * math/auto-libm-test-in: Add more tests of acos. * math/auto-libm-test-out: Regenerated.
* Fix asin missing underflows (bug 16351).Joseph Myers2015-02-262-105/+104
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some asin implementations do not raise the underflow exception for subnormal arguments, when the result is tiny and inexact. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, powerpc and mips64. [BZ #16351] * sysdeps/i386/fpu/e_asin.S (dbl_min): New object. (MO): New macro. (__ieee754_asin): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/e_asinf.S (flt_min): New object. (MO): New macro. (__ieee754_asinf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/e_asin.c: Include <float.h> and <math.h>. (__ieee754_asin): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/e_asinf.c: Include <float.h>. (__ieee754_asinf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/e_asinl.c: Include <float.h>. (__ieee754_asinl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c: Include <float.h>. (__ieee754_asinl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-96/e_asinl.c: Include <float.h>. (__ieee754_asinl): Force underflow exception for results with small absolute value. * sysdeps/x86_64/fpu/multiarch/e_asin.c [HAVE_FMA4_SUPPORT]: Include <math.h>. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16351. * math/auto-libm-test-out: Regenerated.
* Fix ldbl-128ibm logbl near powers of 2 (bug 18030).Joseph Myers2015-02-261-0/+5
| | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of logbl produces incorrect results when the high part of the argument is a power of 2 and the low part a nonzero number with the opposite sign (and so the returned exponent should be 1 less than that of the high part). For example, logbl (0x1.ffffffffffffffp1L) returns 2 but should return 1. (This is similar to (fixed) bug 16740 for frexpl, and (fixed) bug 18029 for ilogbl.) This patch adds checks for that case. Tested for powerpc. [BZ #18030] * sysdeps/ieee754/ldbl-128ibm/s_logbl.c (__logbl): Adjust exponent of power of 2 down when low part has opposite sign. * math/libm-test.inc (logb_test_data): Add more tests.
* Fix ldbl-128ibm ilogbl near powers of 2 (bug 18029).Joseph Myers2015-02-261-0/+5
| | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of ilogbl produces incorrect results when the high part of the argument is a power of 2 and the low part a nonzero number with the opposite sign (and so the returned exponent should be 1 less than that of the high part). For example, ilogbl (0x1.ffffffffffffffp1L) returns 2 but should return 1. (This is similar to (fixed) bug 16740 for frexpl, and bug 18030 for logbl.) This patch adds checks for that case. Tested for powerpc. [BZ #18029] * sysdeps/ieee754/ldbl-128ibm/e_ilogbl.c (__ieee754_ilogbl): Adjust exponent of power of 2 down when low part has opposite sign. * math/libm-test.inc (ilogb_test_data): Add more tests.
* Fix ldbl-128ibm asinhl inaccuracy (bug 18020).Joseph Myers2015-02-252-0/+1746
| | | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of asinhl uses cut-offs of 0x1p28 and 0x1p-29 to determine when to use simpler formulas that avoid possible overflow / underflow. Both those cut-offs are inappropriate for this format, resulting in large errors. This patch changes the code to use more appropriate cut-offs of 0x1p56 and 0x1p-56, adding tests around the cut-offs for various floating-point formats. Tested for powerpc. Also tested for x86_64 and x86 and updated ulps. [BZ #18020] * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Use 2**56 and 2**-56 not 2**28 and 2**-29 as thresholds for simpler formulas. * math/auto-libm-test-in: Add more tests of asinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix ldbl-128ibm acoshl inaccuracy (bug 18019).Joseph Myers2015-02-252-0/+866
| | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of acoshl uses a cut-off of 0x1p28 to determine when to use log(x) + log(2) as a formula. That cut-off is too small for this format, resulting in large errors. This patch changes it to a more appropriate cut-off of 0x1p56, adding tests around the cut-offs for various floating-point formats. Tested for powerpc. Also tested for x86_64 and x86 and updated ulps. [BZ #18019] * sysdeps/ieee754/ldbl-128ibm/e_acoshl.c (__ieee754_acoshl): Use 2**56 not 2**28 as threshold for log (2x) formula. * math/auto-libm-test-in: Add more tests of acosh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.