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* Fix nexttoward overflow in non-default rounding modes (bug 19059).Joseph Myers2015-10-027-13/+16
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ISO C requires overflowing results from nexttoward to be the appropriate infinity independent of the rounding mode, but some implementations use a rounding-mode-dependent result (this is the same issue as was fixed for nextafter in bug 16677). This patch fixes the problem by making the nexttoward implementations discard the result from the floating-point computation that forced an overflow exception and then return the infinity previously computed with integer arithmetic. Tested for x86_64, x86, mips64 and powerpc. [BZ #19059] * math/s_nexttowardf.c (__nexttowardf): Do not return value from overflowing computation. * sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf): Likewise. * math/libm-test.inc (nexttoward_test_data): Add more tests.
* Fix ldbl-128 / ldbl-128ibm lgamma overflow handling (bug 16347, bug 19046).Joseph Myers2015-10-011-7/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | The ldbl-128 / ldbl-128ibm implementation of lgamma has problems with its handling of large arguments. It has an overflow threshold that is correct only for ldbl-128, despite being used for both types - with diagnostic control macros as a temporary measure to disable warnings about that constant overflowing for ldbl-128ibm - and it has a calculation that's roughly x * log(x) - x, resulting in overflows for arguments that are roughly at most a factor 1/log(threshold) below the overflow threshold. This patch fixes both issues, using an overflow threshold appropriate for the type in question and adding another case for large arguments that avoids the possible intermediate overflow. Tested for x86_64, x86, mips64 and powerpc. [BZ #16347] [BZ #19046] * sysdeps/ieee754/ldbl-128/e_lgammal_r.c: Do not include <libc-internal.h>. (MAXLGM): Do not use diagnostic control macros. [LDBL_MANT_DIG == 106] (MAXLGM): Change value to overflow threshold for ldbl-128ibm. (__ieee754_lgammal_r): For large arguments, multiply by log - 1 instead of multiplying by log then subtracting. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated.
* Fix ldbl-128ibm exp10l spurious overflows (bug 16620).Joseph Myers2015-09-301-2/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of exp10l uses a version of log(10) split into high and low parts - but the low part is negative, so causing spurious overflows from __ieee754_expl (exp_high) in cases close to the overflow threshold (I added relevant tests close to the overflow threshold to the testsuite earlier today). The same issue applies close to the underflow threshold as well (except that spurious underflows in IBM long double arithmetic are harder to fix than the other deficiencies, so we might end up permitting those for IBM long double in the libm testsuite, as permitted by ISO C). This patch fixes it to use a low part rounded downward to 48 bits instead. (The choice of 48 instead of 53 bits is to make it more obviously safe even when the low part of the argument is negative.) Tested for powerpc. (Note that because of libgcc bugs with multiplication very close to LDBL_MAX, libgcc also needs patching for all the problem cases to be fixed, but this patch is still safe and correct in the absence of such libgcc fixes.) [BZ #16620] * sysdeps/ieee754/ldbl-128ibm/e_exp10l.c (log10_high): Use value of log (10) rounded downward to 48 bits. (log10_low): Use corresponding low part of log (10).
* Fix clog, clog10 inaccuracy (bug 19016).Joseph Myers2015-09-286-61/+37
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | For arguments with X^2 + Y^2 close to 1, clog and clog10 avoid large errors from log(hypot) by computing X^2 + Y^2 - 1 in a way that avoids cancellation error and then using log1p. However, the thresholds for using that approach still result in log being used on argument as large as sqrt(13/16) > 0.9, leading to significant errors, in some cases above the 9ulp maximum allowed in glibc libm. This patch arranges for the approach using log1p to be used in any cases where |X|, |Y| < 1 and X^2 + Y^2 >= 0.5 (with the existing allowance for cases where one of X and Y is very small), adjusting the __x2y2m1 functions to work with the wider range of inputs. This way, log only gets used on arguments below sqrt(1/2) (or substantially above 1), where the error involved is much less. Tested for x86_64, x86, mips64 and powerpc. For the ulps regeneration I removed the existing clog and clog10 ulps before regenerating to allow any reduced ulps to appear. Tests added include those found by random test generation to produce large ulps either before or after the patch, and some found by trying inputs close to the (0.75, 0.5) threshold where the potential errors from using log are largest. [BZ #19016] * sysdeps/generic/math_private.h (__x2y2m1f): Update comment to allow more cases with X^2 + Y^2 >= 0.5. * sysdeps/ieee754/dbl-64/x2y2m1.c (__x2y2m1): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * sysdeps/ieee754/dbl-64/x2y2m1f.c (__x2y2m1f): Update comment. * sysdeps/ieee754/ldbl-128/x2y2m1l.c (__x2y2m1l): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * sysdeps/ieee754/ldbl-128ibm/x2y2m1l.c (__x2y2m1l): Likewise. * sysdeps/ieee754/ldbl-96/x2y2m1.c [FLT_EVAL_METHOD != 0] (__x2y2m1): Update comment. * sysdeps/ieee754/ldbl-96/x2y2m1l.c (__x2y2m1l): Likewise. Add -1 as normal element in sum instead of special-casing based on values of arguments. * math/s_clog.c (__clog): Handle more cases using log1p without hypot. * math/s_clog10.c (__clog10): Likewise. * math/s_clog10f.c (__clog10f): Likewise. * math/s_clog10l.c (__clog10l): Likewise. * math/s_clogf.c (__clogf): Likewise. * math/s_clogl.c (__clogl): Likewise. * math/auto-libm-test-in: Add more tests of clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix powf inaccuracy (bug 18956).Joseph Myers2015-09-261-1/+3
| | | | | | | | | | | | | | | | | | | | | | The flt-32 version of powf can be inaccurate because of bugs in the extra-precision calculation of (x-1)/(x+1) or (x-1.5)/(x+1.5) as part of calculating log(x) with extra precision: a constant used (as part of adding 1 or 1.5 through integer arithmetic) is incorrect, and then the code fails to mask a computed high part before using it in arithmetic that relies on s_h*t_h being exactly representable. This patch fixes these bugs. Tested for x86_64 and x86. x86_64 ulps for powf removed and regenerated to reflect reduced ulps from the increased accuracy for existing tests. [BZ #18956] * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Add 0x00400000 not 0x0040000 for high bit of mantissa. Mask with 0xfffff000 when extracting high part. * math/auto-libm-test-in: Add another test of pow. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix pow missing underflows (bug 18825).Joseph Myers2015-09-254-2/+14
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, pow functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down (or, in the i386 case, converted from a wider evaluation format) are zero. This patch forces the exception in a similar way to previous fixes, thereby concluding the fixes for known bugs with missing underflow exceptions currently filed in Bugzilla. Tested for x86_64, x86, mips64 and powerpc. [BZ #18825] * sysdeps/i386/fpu/i386-math-asm.h (FLT_NARROW_EVAL_UFLOW_NONNAN): New macro. (DBL_NARROW_EVAL_UFLOW_NONNAN): Likewise. (LDBL_CHECK_FORCE_UFLOW_NONNAN): Likewise. * sysdeps/i386/fpu/e_pow.S: Use DEFINE_DBL_MIN. (__ieee754_pow): Use DBL_NARROW_EVAL_UFLOW_NONNAN instead of DBL_NARROW_EVAL, reloading the PIC register as needed. * sysdeps/i386/fpu/e_powf.S: Use DEFINE_FLT_MIN. (__ieee754_powf): Use FLT_NARROW_EVAL_UFLOW_NONNAN instead of FLT_NARROW_EVAL. Use separate return path for case when first argument is NaN. * sysdeps/i386/fpu/e_powl.S: Include <i386-math-asm.h>. Use DEFINE_LDBL_MIN. (__ieee754_powl): Use LDBL_CHECK_FORCE_UFLOW_NONNAN, reloading the PIC register. * sysdeps/ieee754/dbl-64/e_pow.c (__ieee754_pow): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): Force underflow for subnormal result. * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_powl.c (__ieee754_powl): Use math_check_force_underflow_nonneg. * sysdeps/x86/fpu/powl_helper.c (__powl_helper): Use math_check_force_underflow. * sysdeps/x86_64/fpu/x86_64-math-asm.h (LDBL_CHECK_FORCE_UFLOW_NONNAN): New macro. * sysdeps/x86_64/fpu/e_powl.S: Include <x86_64-math-asm.h>. Use DEFINE_LDBL_MIN. (__ieee754_powl): Use LDBL_CHECK_FORCE_UFLOW_NONNAN. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated.
* Fix hypot missing underflows (bug 18803).Joseph Myers2015-09-244-4/+14
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, hypot functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down (or, in the i386 case, converted from a wider evaluation format) are zero. This patch forces the exception in a similar way to previous fixes. Note that this issue cannot arise for implementations of hypotf using double (or wider) for intermediate evaluation (if hypotf should underflow, that means the double square root is being computed of some number of the form N*2^-298, for 0 < N < 2^46, which is exactly represented as a double, and whatever the rounding mode such a square root cannot have a mantissa with all zeroes after the initial 23 bits). Thus no changes are made to hypotf implementations in this patch, only to hypot and hypotl. Tested for x86_64, x86, mips64 and powerpc. [BZ #18803] * sysdeps/i386/fpu/e_hypot.S: Use DEFINE_DBL_MIN. (MO): New macro. (__ieee754_hypot) [PIC]: Load PIC register. (__ieee754_hypot): Use DBL_NARROW_EVAL_UFLOW_NONNEG instead of DBL_NARROW_EVAL. * sysdeps/ieee754/dbl-64/e_hypot.c (__ieee754_hypot): Use math_check_force_underflow_nonneg in case where result might be tiny. * sysdeps/ieee754/ldbl-128/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/ieee754/ldbl-96/e_hypotl.c (__ieee754_hypotl): Likewise. * sysdeps/powerpc/fpu/e_hypot.c (__ieee754_hypot): Likewise. * math/auto-libm-test-in: Add more tests of hypot. * math/auto-libm-test-out: Regenerated.
* Don't use volatile in exp2f.Joseph Myers2015-09-231-2/+2
| | | | | | | | | | | | | | | sysdeps/ieee754/flt-32/e_exp2f.c declares two variable as "static const volatile float". Maybe this use of "volatile" was originally intended to inhibit optimization of underflowing / overflowing operations such as TWOM100 * TWOM100; in any case, it's not currently needed, as given -frounding-math constant folding of such expressions is properly disabled when it would be unsafe. This patch removes the unnecessary use of "volatile". Tested for x86_64. * sysdeps/ieee754/flt-32/e_exp2f.c (TWOM100): Remove volatile. (TWO127): Likewise.
* Refactor code forcing underflow exceptions.Joseph Myers2015-09-2373-353/+81
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various floating-point functions have code to force underflow exceptions if a tiny result was computed in a way that might not have resulted in such exceptions even though the result is inexact. This typically uses math_force_eval to ensure that the underflowing expression is evaluated, but sometimes uses volatile. This patch refactors such code to use three new macros math_check_force_underflow, math_check_force_underflow_nonneg and math_check_force_underflow_complex (which in turn use math_force_eval). In the limited number of cases not suited to a simple conversion to these macros, existing uses of volatile are changed to use math_force_eval instead. The converted code does not always execute exactly the same sequence of operations as the original code, but the overall effects should be the same. Tested for x86_64, x86, mips64 and powerpc. * sysdeps/generic/math_private.h (fabs_tg): New macro. (min_of_type): Likewise. (math_check_force_underflow): Likewise. (math_check_force_underflow_nonneg): Likewise. (math_check_force_underflow_complex): Likewise. * math/e_exp2l.c (__ieee754_exp2l): Use math_check_force_underflow_nonneg. * math/k_casinh.c (__kernel_casinh): Likewise. * math/k_casinhf.c (__kernel_casinhf): Likewise. * math/k_casinhl.c (__kernel_casinhl): Likewise. * math/s_catan.c (__catan): Use math_check_force_underflow_complex. * math/s_catanf.c (__catanf): Likewise. * math/s_catanh.c (__catanh): Likewise. * math/s_catanhf.c (__catanhf): Likewise. * math/s_catanhl.c (__catanhl): Likewise. * math/s_catanl.c (__catanl): Likewise. * math/s_ccosh.c (__ccosh): Likewise. * math/s_ccoshf.c (__ccoshf): Likewise. * math/s_ccoshl.c (__ccoshl): Likewise. * math/s_cexp.c (__cexp): Likewise. * math/s_cexpf.c (__cexpf): Likewise. * math/s_cexpl.c (__cexpl): Likewise. * math/s_clog.c (__clog): Use math_check_force_underflow_nonneg. * math/s_clog10.c (__clog10): Likewise. * math/s_clog10f.c (__clog10f): Likewise. * math/s_clog10l.c (__clog10l): Likewise. * math/s_clogf.c (__clogf): Likewise. * math/s_clogl.c (__clogl): Likewise. * math/s_csin.c (__csin): Use math_check_force_underflow_complex. * math/s_csinf.c (__csinf): Likewise. * math/s_csinh.c (__csinh): Likewise. * math/s_csinhf.c (__csinhf): Likewise. * math/s_csinhl.c (__csinhl): Likewise. * math/s_csinl.c (__csinl): Likewise. * math/s_csqrt.c (__csqrt): Use math_check_force_underflow. * math/s_csqrtf.c (__csqrtf): Likewise. * math/s_csqrtl.c (__csqrtl): Likewise. * math/s_ctan.c (__ctan): Use math_check_force_underflow_complex. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * stdlib/strtod_l.c (round_and_return): Use math_force_eval instead of volatile. * sysdeps/ieee754/dbl-64/e_asin.c (__ieee754_asin): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/e_atanh.c (__ieee754_atanh): Likewise. * sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Do not use volatile when forcing underflow. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (__ieee754_j1): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c (__ieee754_sinh): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c (__asinh): Likewise. * sysdeps/ieee754/dbl-64/s_atan.c (atan): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/s_erf.c (__erf): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/s_expm1.c (__expm1): Likewise. * sysdeps/ieee754/dbl-64/s_fma.c (__fma): Use math_force_eval instead of volatile. * sysdeps/ieee754/dbl-64/s_log1p.c (__log1p): Use math_check_force_underflow. * sysdeps/ieee754/dbl-64/s_sin.c (__sin): Likewise. * sysdeps/ieee754/dbl-64/s_tan.c (tan): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/dbl-64/s_tanh.c (__tanh): Use math_check_force_underflow. * sysdeps/ieee754/flt-32/e_asinf.c (__ieee754_asinf): Likewise. * sysdeps/ieee754/flt-32/e_atanhf.c (__ieee754_atanhf): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (__ieee754_j1f): Use math_check_force_underflow. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c (__ieee754_sinhf): Likewise. * sysdeps/ieee754/flt-32/k_sinf.c (__kernel_sinf): Likewise. * sysdeps/ieee754/flt-32/k_tanf.c (__kernel_tanf): Likewise. * sysdeps/ieee754/flt-32/s_asinhf.c (__asinhf): Likewise. * sysdeps/ieee754/flt-32/s_atanf.c (__atanf): Likewise. * sysdeps/ieee754/flt-32/s_erff.c (__erff): Likewise. * sysdeps/ieee754/flt-32/s_expm1f.c (__expm1f): Likewise. * sysdeps/ieee754/flt-32/s_log1pf.c (__log1pf): Likewise. * sysdeps/ieee754/flt-32/s_tanhf.c (__tanhf): Likewise. * sysdeps/ieee754/ldbl-128/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-128/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128/e_expl.c (__ieee754_expl): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128/s_atanl.c (__atanl): Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Likewise. * sysdeps/ieee754/ldbl-128/s_fmal.c (__fmal): Use math_force_eval instead of volatile. * sysdeps/ieee754/ldbl-128/s_log1pl.c (__log1pl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c (__kernel_sincosl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c (__kernel_tanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c (__asinhl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c (__atanl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_asinl.c (__ieee754_asinl): Likewise. * sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-96/e_j1l.c (__ieee754_j1l): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_sinhl.c (__ieee754_sinhl): Likewise. * sysdeps/ieee754/ldbl-96/k_sinl.c (__kernel_sinl): Likewise. * sysdeps/ieee754/ldbl-96/k_tanl.c (__kernel_tanl): Use math_check_force_underflow_nonneg. * sysdeps/ieee754/ldbl-96/s_asinhl.c (__asinhl): Use math_check_force_underflow. * sysdeps/ieee754/ldbl-96/s_erfl.c (__erfl): Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c (__fmal): Use math_force_eval instead of volatile. * sysdeps/ieee754/ldbl-96/s_tanhl.c (__tanhl): Use math_check_force_underflow.
* Use math_narrow_eval more consistently.Joseph Myers2015-09-2324-138/+54
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Where glibc code needs to avoid excess range and precision in floating-point arithmetic, code variously uses either asms or volatile to force the results of that arithmetic to memory; mostly this is conditional on FLT_EVAL_METHOD, but in the case of lrint / llrint functions some use of volatile is unconditional (and is present unnecessarily in versions for long double). This patch make such code use the recently-added math_narrow_eval macro consistently, removing the unnecessary uses of volatile in long double lrint / llrint implementations completely. Tested for x86_64, x86, mips64 and powerpc. * math/s_nexttowardf.c (__nexttowardf): Use math_narrow_eval. * stdlib/strtod_l.c: Include <math_private.h>. (overflow_value): Use math_narrow_eval. (underflow_value): Likewise. * sysdeps/i386/fpu/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/i386/fpu/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Likewise. (__ieee754_gamma_r): Likewise. * sysdeps/ieee754/dbl-64/gamma_productf.c (__gamma_productf): 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/dbl-64/s_erf.c (__erfc): Likewise. * sysdeps/ieee754/dbl-64/s_llrint.c (__llrint): Likewise. * sysdeps/ieee754/dbl-64/s_lrint.c (__lrint): Likewise. * sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Likewise. (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/flt-32/k_rem_pio2f.c (__kernel_rem_pio2f): Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c (__lgamma_negf): Likewise. * sysdeps/ieee754/flt-32/s_erff.c (__erfcf): Likewise. * sysdeps/ieee754/flt-32/s_llrintf.c (__llrintf): Likewise. * sysdeps/ieee754/flt-32/s_lrintf.c (__lrintf): Likewise. * sysdeps/ieee754/ldbl-128/s_llrintl.c (__llrintl): Do not use volatile. * sysdeps/ieee754/ldbl-128/s_lrintl.c (__lrintl): Likewise. * sysdeps/ieee754/ldbl-128/s_nexttoward.c (__nexttoward): Use math_narrow_eval. * sysdeps/ieee754/ldbl-128ibm/s_nexttoward.c (__nexttoward): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-96/gamma_product.c (__gamma_product): Likewise. * sysdeps/ieee754/ldbl-96/s_llrintl.c (__llrintl): Do not use volatile. * sysdeps/ieee754/ldbl-96/s_lrintl.c (__lrintl): Likewise. * sysdeps/ieee754/ldbl-96/s_nexttoward.c (__nexttoward): Use math_narrow_eval. * sysdeps/ieee754/ldbl-96/s_nexttowardf.c (__nexttowardf): Likewise. * sysdeps/ieee754/ldbl-opt/s_nexttowardfd.c (__nldbl_nexttowardf): Likewise.
* Avoid excess range overflowing results from cosh, sinh, lgamma (bug 18980).Joseph Myers2015-09-186-6/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various i386 libm functions return values with excess range and precision; Wilco Dijkstra's patches to make isfinite etc. expand inline cause this pre-existing issue to result in test failures (when e.g. a result that overflows float but not long double gets counted as overflowing for some purposes but not others). This patch addresses those cases arising from functions defined in C, adding a math_narrow_eval macro that forces values to memory to eliminate excess precision if FLT_EVAL_METHOD indicates this is needed, and is a no-op otherwise. I'll convert existing uses of volatile and asm for this purpose to use the new macro later, once i386 has clean test results again (which requires fixes for .S files as well). Tested for x86_64 and x86. Committed. [BZ #18980] * sysdeps/generic/math_private.h: Include <float.h>. (math_narrow_eval): New macro. [FLT_EVAL_METHOD != 0] (excess_precision): Likewise. * sysdeps/ieee754/dbl-64/e_cosh.c (__ieee754_cosh): Use math_narrow_eval on overflowing return value. * sysdeps/ieee754/dbl-64/e_lgamma_r.c (__ieee754_lgamma_r): Likewise. * sysdeps/ieee754/dbl-64/e_sinh.c (__ieee754_sinh): Likewise. * sysdeps/ieee754/flt-32/e_coshf.c (__ieee754_coshf): Likewise. * sysdeps/ieee754/flt-32/e_lgammaf_r.c (__ieee754_lgammaf_r): Likewise. * sysdeps/ieee754/flt-32/e_sinhf.c (__ieee754_sinhf): Likewise.
* Since we now inline isinf, isnan and isfinite in math.h, replace uses of ↵Wilco Dijkstra2015-09-1813-196/+5
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | __isinf_ns(l/f) with isinf, and remove the unused inlines __isinf_ns(l/f), __isnan(f) and __finite(f). 2015-09-18 Wilco Dijkstra <wdijkstr@arm.com> * include/math.h: Remove __isinf_ns, __isinf_nsf, __isinf_nsl. * math/Makefile: Remove isinf_ns.c. * math/divtc3.c (__divtc3): Replace __isinf_nsl with isinf. * math/multc3.c (__multc3): Likewise. * math/s_casin.c (__casin): Likewise. * math/s_casinf.c (__casinf): Likewise. * math/s_casinl.c (__casinl): Likewise. * math/s_cproj.c (__cproj): Likewise. * math/s_cprojf.c (__cprojf): Likewise. * math/s_cprojl.c (__cprofl): Likewise. * math/s_ctan.c (__ctan): Likewise. * math/s_ctanf.c (__ctanf): Likewise. * math/s_ctanh.c (__ctanh): Likewise. * math/s_ctanhf.c (__ctanhf): Likewise. * math/s_ctanhl.c (__ctanhl): Likewise. * math/s_ctanl.c (__ctanl): Likewise. * math/w_fmod.c (__fmod): Likewise. * math/w_fmodf.c (__fmodf): Likewise. * math/w_fmodl.c (_fmodl): Likewise. * math/w_remainder.c (__remainder): Likewise. * math/w_remainderf.c (__remainderf): Likewise. * math/w_remainderl.c (__remainderl): Likewise. * math/w_scalb.c (__scalb): Likewise. * math/w_scalbf.c (__scalbf): Likewise. * math/w_scalbl.c (__scalbl): Likewise. * sysdeps/ieee754/dbl-64/s_isinf_ns.c: Deleted file. * sysdeps/ieee754/dbl-64/s_sincos.c (__sincos): Replace __isinf_ns with isinf. * sysdeps/ieee754/dbl-64/wordsize-64/math_private.h: Deleted file. * sysdeps/ieee754/dbl-64/wordsize-64/s_isinf_ns.c: Deleted file. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Replace __isinf_nsf with isinf. * sysdeps/ieee754/flt-32/math_private.h: Deleted file. * sysdeps/ieee754/flt-32/s_isinf_nsf.c: Deleted file. * sysdeps/ieee754/ldbl-128/s_isinf_nsl.c: Deleted file. * sysdeps/ieee754/ldbl-128/s_sincosl.c (__sincosl): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-128ibm/s_cprojl.c(__cprojll): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-128ibm/s_ctanl.c(__ctanl): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-128ibm/s_isinf_nsl.c: Deleted file. * sysdeps/ieee754/ldbl-128ibm/s_sincosl.c (__sincosl): Replace __isinf_nsl with isinf. * sysdeps/ieee754/ldbl-96/s_isinf_nsl.c: Deleted file. * sysdeps/ieee754/ldbl-96/s_sincosl.c (__sincosl): Replace __isinf_nsl with isinf.
* Fix several build failures with GCC6 due to unused static variables.Wilco Dijkstra2015-09-188-14/+1
| | | | | | | | | | | | | | | | | 2015-09-18 Wilco Dijkstra <wdijkstr@arm.com> * resolv/base64.c (rcsid): Remove unused static. * sysdeps/ieee754/dbl-64/atnat2.h (qpi1): Remove unused static. (tqpi1): Likewise. * sysdeps/ieee754/dbl-64/uexp.h (one): Likewise. * sysdeps/ieee754/dbl-64/upow.h (sqrt_2): Likewise. * sysdeps/ieee754/flt-32/e_log10f.c (one): Likewise. * sysdeps/ieee754/flt-32/s_cosf.c (one): Likewise. * sysdeps/ieee754/ldbl-128/e_lgammal_r.c (zero): Likewise. * sysdeps/ieee754/ldbl-128/s_erfl.c (half): Likewise. * sysdeps/ieee754/ldbl-128/s_log1pl.c (maxlog): Likewise. * timezone/private.h (time_t_min): Likewise. (time_t_max): Likewise.
* Use the GCC builtin functions for the non-inlined signbit implementations.Wilco Dijkstra2015-09-185-31/+5
| | | | | | | | | | | | | 2015-09-18 Wilco Dijkstra <wdijkstr@arm.com> * sysdeps/ieee754/dbl-64/s_signbit.c (__signbit): Use __builtin_signbit. * sysdeps/ieee754/flt-32/s_signbitf.c (__signbitf): Use __builtin_signbitf. * sysdeps/ieee754/ldbl-128/s_signbitl.c (__signbitl): Use __builtin_signbitl. * sysdeps/ieee754/ldbl-128ibm/s_signbitl.c (___signbitl): Likewise. * sysdeps/ieee754/ldbl-96/s_signbitl.c (__signbitl): Likewise.
* Reduce number of constants in __finite* (bug 15384).Joseph Myers2015-09-175-5/+5
| | | | | | | | | | | | | | | | | | | Bug 15384 notes that in __finite, two different constants are used that could be the same constant (the result only depends on the exponent of the floating-point representation), and that using the same constant is better for architectures where constants need loading from a constant pool. This patch implements that change. Tested for x86_64, mips64 and powerpc. [BZ #15384] * sysdeps/ieee754/dbl-64/s_finite.c (FINITE): Use same constant as bit-mask as in subtraction. * sysdeps/ieee754/dbl-64/wordsize-64/s_finite.c (__finite): Likewise. * sysdeps/ieee754/flt-32/s_finitef.c (FINITEF): Likewise. * sysdeps/ieee754/ldbl-128/s_finitel.c (__finitel): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_finitel.c (__finitel): Likewise.
* Fix tgamma missing underflows (bug 18951).Joseph Myers2015-09-175-0/+25
| | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, tgamma functions can fail to raise the underflow exception when the result is tiny and inexact but one or more low bits of the intermediate result that is scaled down are zero. This patch forces the exception in a similar way to previous fixes. Tested for x86_64, x86, mips64 and powerpc. [BZ #18951] * sysdeps/ieee754/dbl-64/e_gamma_r.c (__ieee754_gamma_r): Force underflow exception for small results. * sysdeps/ieee754/flt-32/e_gammaf_r.c (__ieee754_gammaf_r): Likewise. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (__ieee754_gammal_r): Likewise. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (__ieee754_gammal_r): Likewise. * math/auto-libm-test-in: Add more tests of tgamma. * math/auto-libm-test-out: Regenerated.
* Make scalbn set errno (bug 6803).Joseph Myers2015-09-167-16/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | As noted in bug 6803, scalbn fails to set errno on overflow and underflow. This patch fixes this by making scalbn an alias of ldexp, which has exactly the same semantics (for floating-point types with radix 2) and already has wrappers that deal with setting errno, instead of an alias of the internal __scalbn (which ldexp calls). Notes: * Where compat symbols were defined for scalbn functions, I didn't change what they point to (to keep the patch minimal), so such compat symbols continue to go directly to the non-errno-setting functions. * Mike, I didn't do anything with the IA64 versions of these functions, where I think both the ldexp and scalbn functions already deal with setting errno. As a cleanup (not needed to fix this bug) however you might want to make those functions into aliases for IA64; there is no need for them to be separate function implementations at all. * This concludes the fix for bug 6803 since the scalb and scalbln cases of that bug were fixed some time ago. Tested for x86_64, x86, mips64 and powerpc. [BZ #6803] * math/s_ldexp.c (scalbn): Define as weak alias of __ldexp. [NO_LONG_DOUBLE] (scalbnl): Define as weak alias of __ldexp. * math/s_ldexpf.c (scalbnf): Define as weak alias of __ldexpf. * math/s_ldexpl.c (scalbnl): Define as weak alias of __ldexpl. * sysdeps/i386/fpu/s_scalbn.S (scalbn): Remove alias. * sysdeps/i386/fpu/s_scalbnf.S (scalbnf): Likewise. * sysdeps/i386/fpu/s_scalbnl.S (scalbnl): Likewise. * sysdeps/ieee754/dbl-64/s_scalbn.c (scalbn): Likewise. [NO_LONG_DOUBLE] (scalbnl): Likewise. * sysdeps/ieee754/dbl-64/wordsize-64/s_scalbn.c (scalbn): Likewise. [NO_LONG_DOUBLE] (scalbnl): Likewise. * sysdeps/ieee754/flt-32/s_scalbnf.c (scalbnf): Likewise. * sysdeps/ieee754/ldbl-128/s_scalbnl.c (scalbnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_scalbnl.c (scalbnl): Remove long_double_symbol calls. * sysdeps/ieee754/ldbl-64-128/s_scalbnl.c (scalbnl): Likewise. * sysdeps/ieee754/ldbl-opt/s_ldexpl.c (__ldexpl_2): Define as strong alias of __ldexpl. (scalbnl): Define using long_double_symbol. * sysdeps/m68k/m680x0/fpu/s_scalbn.c (__CONCATX(scalbn,suffix)): Remove alias. * sysdeps/sparc/sparc64/soft-fp/s_scalbnl.c (scalbnl): Likewise. * sysdeps/x86_64/fpu/s_scalbnl.S (scalbnl): Likewise. * math/libm-test.inc (scalbn_test_data): Add errno expectations. (scalbln_test_data): Add more errno expectations.
* Clean up ldbl-128 / ldbl-128ibm expm1l dead code (bug 16415).Joseph Myers2015-09-162-32/+4
| | | | | | | | | | | | | | | | The ldbl-128 and ldbl-128ibm expm1l implementations have code to handle +Inf and finite arguments above an overflow threshold. Since they now use __expl for large positive arguments to fix other problems, this code is unreachable; this patch removes it. Tested for mips64 and powerpc. [BZ #16415] * sysdeps/ieee754/ldbl-128/s_expm1l.c (maxlog): Remove variable. (__expm1l): Remove code to handle positive infinity and overflow. * sysdeps/ieee754/ldbl-128ibm/s_expm1l.c (maxlog): Remove variable. (__expm1l): Remove code to handle positive infinity and overflow.
* Fix ldbl-128ibm nearbyintl use of signaling comparisons on NaNs (bug 18857).Joseph Myers2015-09-151-1/+3
| | | | | | | | | | | | | | | | | | | | | | The ldbl-128ibm implementation of nearbyintl wrongly uses signaling comparisons such as "if (fabs (u.d[0].d) < TWO52)" on arguments that might be NaNs, when "invalid" exceptions should not be raised. (For hard float, this issue may be hidden by <https://gcc.gnu.org/bugzilla/show_bug.cgi?id=58684>, powerpc GCC wrongly only using unordered comparison instructions.) This patch fixes this by just returning the argument if it is not finite (because of the arbitrary value of the low part of a NaN in IBM long double, there are quite a lot of comparisons that could end up involving a NaN when the argument to nearbyintl is a NaN, so excluding NaN arguments at the start is the simplest and safest fix). Tested for powerpc-nofpu, where it removes failures for spurious "invalid" exceptions from nearbyintl. [BZ #18857] * sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c (__nearbyintl): Just return non-finite argument without doing ordered comparisons on it.
* Simplify hypotf infinity handling (bug 15918).Joseph Myers2015-09-151-10/+2
| | | | | | | | | | | | | | Bug 15918 points out that the handling of infinities in hypotf can be simplified: it's enough to return the absolute value of the infinite argument without first comparing it to the other argument and possibly returning that other argument's absolute value. This patch makes that cleanup (which should not change how hypotf behaves on any input). Tested for x86_64. [BZ #15918] * sysdeps/ieee754/flt-32/e_hypotf.c (__ieee754_hypotf): Simplify handling of cases where one argument is an infinity.
* Fix exp2 missing underflows (bug 16521).Joseph Myers2015-09-142-2/+18
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various exp2 implementations in glibc can miss underflow exceptions when the scaling down part of the calculation is exact (or, in the x86 case, when the conversion from extended precision to the target precision is exact). This patch forces the exception in a similar way to previous fixes. The x86 exp2f changes may in fact not be needed for this purpose - it's likely to be the case that no argument of type float has an exp2 result so close to an exact subnormal float value that it equals that value when rounded to 64 bits (even taking account of variation between different x86 implementations). However, they are included for consistency with the changes to exp2 and so as to fix the exp2f part of bug 18875 by ensuring that excess range and precision is removed from underflowing return values. Tested for x86_64, x86 and mips64. [BZ #16521] [BZ #18875] * math/e_exp2l.c (__ieee754_exp2l): Force underflow exception for small results. * sysdeps/i386/fpu/e_exp2.S (dbl_min): New object. (MO): New macro. (__ieee754_exp2): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp2f.S (flt_min): New object. (MO): New macro. (__ieee754_exp2f): For small results, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_exp2l.S (ldbl_min): New object. (MO): New macro. (__ieee754_exp2l): Force underflow exception for small results. * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Likewise. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise. * sysdeps/x86_64/fpu/e_exp2l.S (ldbl_min): New object. (MO): New macro. (__ieee754_exp2l): Force underflow exception for small results. * math/auto-libm-test-in: Add more tests or exp2. * math/auto-libm-test-out: Regenerated.
* Fix ldbl-128/ldbl-128ibm lgamma spurious "invalid", incorrect signgam (bug ↵Joseph Myers2015-09-111-2/+2
| | | | | | | | | | | | | | | | | | | | 18952). The ldbl-128 / ldbl-128ibm implementation of lgammal converts (the floor of minus) non-integer negative arguments to int to determine the value of signgam. When those values are outside the range of int, this produces spurious "invalid" exceptions and incorrect values of signgam. This patch fixes this by instead determining signgam through comparing half the integer in question to floor of half the integer. Tested for mips64, x86_64 and x86. [BZ #18952] * sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Do not convert non-integer negative arguments to int to determine the value of signgam. * math/auto-libm-test-in: Add more tests of lgamma. * math/auto-libm-test-out: Regenerated.
* Fix lgamma (negative) inaccuracy (bug 2542, bug 2543, bug 2558).Joseph Myers2015-09-1015-0/+2519
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The existing implementations of lgamma functions (except for the ia64 versions) use the reflection formula for negative arguments. This suffers large inaccuracy from cancellation near zeros of lgamma (near where the gamma function is +/- 1). This patch fixes this inaccuracy. For arguments above -2, there are no zeros and no large cancellation, while for sufficiently large negative arguments the zeros are so close to integers that even for integers +/- 1ulp the log(gamma(1-x)) term dominates and cancellation is not significant. Thus, it is only necessary to take special care about cancellation for arguments around a limited number of zeros. Accordingly, this patch uses precomputed tables of relevant zeros, expressed as the sum of two floating-point values. The log of the ratio of two sines can be computed accurately using log1p in cases where log would lose accuracy. The log of the ratio of two gamma(1-x) values can be computed using Stirling's approximation (the difference between two values of that approximation to lgamma being computable without computing the two values and then subtracting), with appropriate adjustments (which don't reduce accuracy too much) in cases where 1-x is too small to use Stirling's approximation directly. In the interval from -3 to -2, using the ratios of sines and of gamma(1-x) can still produce too much cancellation between those two parts of the computation (and that interval is also the worst interval for computing the ratio between gamma(1-x) values, which computation becomes more accurate, while being less critical for the final result, for larger 1-x). Because this can result in errors slightly above those accepted in glibc, this interval is instead dealt with by polynomial approximations. Separate polynomial approximations to (|gamma(x)|-1)(x-n)/(x-x0) are used for each interval of length 1/8 from -3 to -2, where n (-3 or -2) is the nearest integer to the 1/8-interval and x0 is the zero of lgamma in the relevant half-integer interval (-3 to -2.5 or -2.5 to -2). Together, the two approaches are intended to give sufficient accuracy for all negative arguments in the problem range. Outside that range, the previous implementation continues to be used. Tested for x86_64, x86, mips64 and powerpc. The mips64 and powerpc testing shows up pre-existing problems for ldbl-128 and ldbl-128ibm with large negative arguments giving spurious "invalid" exceptions (exposed by newly added tests for cases this patch doesn't affect the logic for); I'll address those problems separately. [BZ #2542] [BZ #2543] [BZ #2558] * sysdeps/ieee754/dbl-64/e_lgamma_r.c (__ieee754_lgamma_r): Call __lgamma_neg for arguments from -28.0 to -2.0. * sysdeps/ieee754/flt-32/e_lgammaf_r.c (__ieee754_lgammaf_r): Call __lgamma_negf for arguments from -15.0 to -2.0. * sysdeps/ieee754/ldbl-128/e_lgammal_r.c (__ieee754_lgammal_r): Call __lgamma_negl for arguments from -48.0 or -50.0 to -2.0. * sysdeps/ieee754/ldbl-96/e_lgammal_r.c (__ieee754_lgammal_r): Call __lgamma_negl for arguments from -33.0 to -2.0. * sysdeps/ieee754/dbl-64/lgamma_neg.c: New file. * sysdeps/ieee754/dbl-64/lgamma_product.c: Likewise. * sysdeps/ieee754/flt-32/lgamma_negf.c: Likewise. * sysdeps/ieee754/flt-32/lgamma_productf.c: Likewise. * sysdeps/ieee754/ldbl-128/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-128/lgamma_productl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/lgamma_productl.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_negl.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_product.c: Likewise. * sysdeps/ieee754/ldbl-96/lgamma_productl.c: Likewise. * sysdeps/generic/math_private.h (__lgamma_negf): New prototype. (__lgamma_neg): Likewise. (__lgamma_negl): Likewise. (__lgamma_product): Likewise. (__lgamma_productl): Likewise. * math/Makefile (libm-calls): Add lgamma_neg and lgamma_product. * 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.
* Move bits/libc-lock.h and bits/libc-lockP.h out of bits/ (bug 14912).Joseph Myers2015-09-081-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | It was noted in <https://sourceware.org/ml/libc-alpha/2012-09/msg00305.html> that the bits/*.h naming scheme should only be used for installed headers. This patch renames bits/libc-lock.h to plain libc-lock.h and bits/libc-lockP.h to plain libc-lockP.h to follow that convention. Note that I don't know where libc-lockP.h comes from for Hurd (the Hurd libc-lock.h includes libc-lockP.h, but the only libc-lockP.h in the glibc source tree is for NPTL) - some unmerged patch? - but I updated the #include in the Hurd libc-lock.h anyway. Tested for x86_64 (testsuite, and that installed stripped shared libraries are unchanged by the patch). [BZ #14912] * bits/libc-lock.h: Move to ... * sysdeps/generic/libc-lock.h: ...here. (_BITS_LIBC_LOCK_H): Rename macro to _LIBC_LOCK_H. * sysdeps/mach/hurd/bits/libc-lock.h: Move to ... * sysdeps/mach/hurd/libc-lock.h: ...here. (_BITS_LIBC_LOCK_H): Rename macro to _LIBC_LOCK_H. [_LIBC]: Include <libc-lockP.h> instead of <bits/libc-lockP.h>. * sysdeps/mach/bits/libc-lock.h: Move to ... * sysdeps/mach/libc-lock.h: ...here. (_BITS_LIBC_LOCK_H): Rename macro to _LIBC_LOCK_H. * sysdeps/nptl/bits/libc-lock.h: Move to ... * sysdeps/nptl/libc-lock.h: ...here. (_BITS_LIBC_LOCK_H): Rename macro to _LIBC_LOCK_H. * sysdeps/nptl/bits/libc-lockP.h: Move to ... * sysdeps/nptl/libc-lockP.h: ...here. (_BITS_LIBC_LOCKP_H): Rename macro to _LIBC_LOCKP_H. * crypt/crypt_util.c: Include <libc-lock.h> instead of <bits/libc-lock.h>. * dirent/scandir-tail.c: Likewise. * dlfcn/dlerror.c: Likewise. * elf/dl-close.c: Likewise. * elf/dl-iteratephdr.c: Likewise. * elf/dl-lookup.c: Likewise. * elf/dl-open.c: Likewise. * elf/dl-support.c: Likewise. * elf/dl-writev.h: Likewise. * elf/rtld.c: Likewise. * grp/fgetgrent.c: Likewise. * gshadow/fgetsgent.c: Likewise. * gshadow/sgetsgent.c: Likewise. * iconv/gconv_conf.c: Likewise. * iconv/gconv_db.c: Likewise. * iconv/gconv_dl.c: Likewise. * iconv/gconv_int.h: Likewise. * iconv/gconv_trans.c: Likewise. * include/link.h: Likewise. * inet/getnameinfo.c: Likewise. * inet/getnetgrent.c: Likewise. * inet/getnetgrent_r.c: Likewise. * intl/bindtextdom.c: Likewise. * intl/dcigettext.c: Likewise. * intl/finddomain.c: Likewise. * intl/gettextP.h: Likewise. * intl/loadmsgcat.c: Likewise. * intl/localealias.c: Likewise. * intl/textdomain.c: Likewise. * libidn/idn-stub.c: Likewise. * libio/libioP.h: Likewise. * locale/duplocale.c: Likewise. * locale/freelocale.c: Likewise. * locale/newlocale.c: Likewise. * locale/setlocale.c: Likewise. * login/getutent_r.c: Likewise. * login/getutid_r.c: Likewise. * login/getutline_r.c: Likewise. * login/utmp-private.h: Likewise. * login/utmpname.c: Likewise. * malloc/mtrace.c: Likewise. * misc/efgcvt.c: Likewise. * misc/error.c: Likewise. * misc/fstab.c: Likewise. * misc/getpass.c: Likewise. * misc/mntent.c: Likewise. * misc/syslog.c: Likewise. * nis/nis_call.c: Likewise. * nis/nis_callback.c: Likewise. * nis/nss-default.c: Likewise. * nis/nss_compat/compat-grp.c: Likewise. * nis/nss_compat/compat-initgroups.c: Likewise. * nis/nss_compat/compat-pwd.c: Likewise. * nis/nss_compat/compat-spwd.c: Likewise. * nis/nss_nis/nis-alias.c: Likewise. * nis/nss_nis/nis-ethers.c: Likewise. * nis/nss_nis/nis-grp.c: Likewise. * nis/nss_nis/nis-hosts.c: Likewise. * nis/nss_nis/nis-network.c: Likewise. * nis/nss_nis/nis-proto.c: Likewise. * nis/nss_nis/nis-pwd.c: Likewise. * nis/nss_nis/nis-rpc.c: Likewise. * nis/nss_nis/nis-service.c: Likewise. * nis/nss_nis/nis-spwd.c: Likewise. * nis/nss_nisplus/nisplus-alias.c: Likewise. * nis/nss_nisplus/nisplus-ethers.c: Likewise. * nis/nss_nisplus/nisplus-grp.c: Likewise. * nis/nss_nisplus/nisplus-hosts.c: Likewise. * nis/nss_nisplus/nisplus-initgroups.c: Likewise. * nis/nss_nisplus/nisplus-network.c: Likewise. * nis/nss_nisplus/nisplus-proto.c: Likewise. * nis/nss_nisplus/nisplus-pwd.c: Likewise. * nis/nss_nisplus/nisplus-rpc.c: Likewise. * nis/nss_nisplus/nisplus-service.c: Likewise. * nis/nss_nisplus/nisplus-spwd.c: Likewise. * nis/ypclnt.c: Likewise. * nptl/libc_pthread_init.c: Likewise. * nss/getXXbyYY.c: Likewise. * nss/getXXent.c: Likewise. * nss/getXXent_r.c: Likewise. * nss/nss_db/db-XXX.c: Likewise. * nss/nss_db/db-netgrp.c: Likewise. * nss/nss_db/nss_db.h: Likewise. * nss/nss_files/files-XXX.c: Likewise. * nss/nss_files/files-alias.c: Likewise. * nss/nsswitch.c: Likewise. * posix/regex_internal.h: Likewise. * posix/wordexp.c: Likewise. * pwd/fgetpwent.c: Likewise. * resolv/res_hconf.c: Likewise. * resolv/res_libc.c: Likewise. * shadow/fgetspent.c: Likewise. * shadow/lckpwdf.c: Likewise. * shadow/sgetspent.c: Likewise. * socket/opensock.c: Likewise. * stdio-common/reg-modifier.c: Likewise. * stdio-common/reg-printf.c: Likewise. * stdio-common/reg-type.c: Likewise. * stdio-common/vfprintf.c: Likewise. * stdio-common/vfscanf.c: Likewise. * stdlib/abort.c: Likewise. * stdlib/cxa_atexit.c: Likewise. * stdlib/fmtmsg.c: Likewise. * stdlib/random.c: Likewise. * stdlib/setenv.c: Likewise. * string/strsignal.c: Likewise. * sunrpc/auth_none.c: Likewise. * sunrpc/bindrsvprt.c: Likewise. * sunrpc/create_xid.c: Likewise. * sunrpc/key_call.c: Likewise. * sunrpc/rpc_thread.c: Likewise. * sysdeps/arm/backtrace.c: Likewise. * sysdeps/generic/ldsodefs.h: Likewise. * sysdeps/generic/stdio-lock.h: Likewise. * sysdeps/generic/unwind-dw2-fde.c: Likewise. * sysdeps/i386/backtrace.c: Likewise. * sysdeps/ieee754/ldbl-opt/nldbl-compat.c: Likewise. * sysdeps/m68k/backtrace.c: Likewise. * sysdeps/mach/hurd/cthreads.c: Likewise. * sysdeps/mach/hurd/dirstream.h: Likewise. * sysdeps/mach/hurd/malloc-machine.h: Likewise. * sysdeps/nptl/malloc-machine.h: Likewise. * sysdeps/nptl/stdio-lock.h: Likewise. * sysdeps/posix/dirstream.h: Likewise. * sysdeps/posix/getaddrinfo.c: Likewise. * sysdeps/posix/system.c: Likewise. * sysdeps/pthread/aio_suspend.c: Likewise. * sysdeps/s390/s390-32/backtrace.c: Likewise. * sysdeps/s390/s390-64/backtrace.c: Likewise. * sysdeps/unix/sysv/linux/check_pf.c: Likewise. * sysdeps/unix/sysv/linux/if_index.c: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/getutent_r.c: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/getutid_r.c: Likewise. * sysdeps/unix/sysv/linux/s390/s390-32/getutline_r.c: Likewise. * sysdeps/unix/sysv/linux/shm-directory.c: Likewise. * sysdeps/unix/sysv/linux/system.c: Likewise. * sysdeps/x86_64/backtrace.c: Likewise. * time/alt_digit.c: Likewise. * time/era.c: Likewise. * time/tzset.c: Likewise. * wcsmbs/wcsmbsload.c: Likewise. * nptl/tst-initializers1.c (do_test): Refer to <libc-lock.h> instead of <bits/libc-lock.h> in comment.
* Disable uninitialized warning with GCC 4.8Stan Shebs2015-08-261-0/+12
| | | | | | | | | As with other spots in the code, GCC 4.8 unnecessarily complains about an uninitialized variable in tanl calcs, so this patch disables. With it, the library and sees the usual set of test passes. * sysdeps/ieee754/ldbl-96/k_tanl.c: Include <libc-internal.h>. (__kernel_tanl): Ignore uninitialized warnings around use of SIGN.
* Fix uninitialized variable use in ldbl-128ibm nearbyintl.Joseph Myers2015-08-201-9/+5
| | | | | | | | | | | | | | | | | | | | | | | | | | | | Removing the use of -Wno-uninitialized for math/ shows errors for ldbl-128ibm: ../sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c: In function '__nearbyintl': ../sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c:119:34: error: 'low' may be used uninitialized in this function [-Werror=maybe-uninitialized] u.d[1].d = high - u.d[0].d + low; ^ ../sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c:119:23: error: 'high' may be used uninitialized in this function [-Werror=maybe-uninitialized] u.d[1].d = high - u.d[0].d + low; ^ These errors are correct: if the high part of the argument is a NaN, and the low part is nonzero but has absolute value less than 2^52, those variables can be used uninitialized. This patch rearranges the code so that the variables are always initialized with the natural values, and then possibly modified later, to avoid this uninitialized use. (Note that there are still other issues with this code and NaNs that are not fixed by this patch.) No bug filed in Bugzilla or testcase added for the uninitialized use since it wasn't user-visible with the compiler I tried (that is, I still got a NaN result). Tested for powerpc. * sysdeps/ieee754/ldbl-128ibm/s_nearbyintl.c: Always initialize variables for high and low parts before possibly modifying them.
* Fix fma spurious underflows (bug 18824).Joseph Myers2015-08-143-3/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Various fma implementations have logic that, when computing fma (x, y, z) where z is large (so care needs taking to avoid internal overflow) but x * y is small, scale x * y up instead of down to avoid internal underflows resulting from scaling down. (In these cases, x * y is small enough that only its sign actually matters rather than the exact value.) The threshold for scaling up instead of down was correct for "if the unscaled values were multiplied, the low part of the multiplication could underflow", and the scaling was sufficient to ensure that the low part of the multiplication did not underflow (given that cases of very small x * y - less than half the least subnormal - were previously dealt with). However, the choice in the functions wasn't between scaling up or no scaling, but between scaling up and scaling down (scaling down actually being needed when x * y isn't so small compared to z and so the exact value does matter). Thus a larger threshold is needed to ensure that scaling down doesn't produce values the multiplication of whose low parts underflows. This patch increases the thresholds accordingly. Tested for x86_64, x86 and mips64 (with the MIPS version of s_fmal.c removed so that the ldbl-128 version gets tested instead of the soft-fp one). [BZ #18824] * sysdeps/ieee754/dbl-64/s_fma.c (__fma): Increase threshold for scaling x * y up instead of down. * sysdeps/ieee754/ldbl-128/s_fmal.c (__fmal): Likewise. * sysdeps/ieee754/ldbl-96/s_fmal.c (__fmal): Likewise. * math/auto-libm-test-in: Add more tests of fma. * math/auto-libm-test-out: Regenerated.
* Fix tanh missing underflows (bug 16520).Joseph Myers2015-08-135-2/+42
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some tanh 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, mips64 and powerpc. [BZ #16520] * sysdeps/ieee754/dbl-64/s_tanh.c: Include <float.h>. (__tanh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_tanhf.c: Include <float.h>. (__tanhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/s_tanhl.c: Include <float.h>. (__tanhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c: Include <float.h>. (__tanhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/s_tanhl.c: Include <float.h>. (__tanhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix ldbl-128ibm tanhl inaccuracy (bug 18790).Joseph Myers2015-08-101-5/+5
| | | | | | | | | | | | | | | | ldbl-128ibm tanhl uses a too-small threshold to decide when to return +/-1, resulting in large errors. This patch changes it to a more appropriate threshold (the requirement is for 2*exp(-2|x|) to be small in terms of ulps of 1). Tested for x86_64, x86 and powerpc. [BZ #18790] * sysdeps/ieee754/ldbl-128ibm/s_tanhl.c (__tanhl): Increase threshold for returning +/- 1. * math/auto-libm-test-in: Add more tests of tanh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix ldbl-128ibm sinhl inaccuracy near 0 (bug 18789).Joseph Myers2015-08-101-1/+1
| | | | | | | | | | | | | | | ldbl-128ibm sinhl uses a too-big threshold to decide when to return the argument, resulting in large errors. This patch fixes it to use a more appropriate threshold. Tested for x86_64, x86 and powerpc. [BZ #18789] * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c (__ieee754_sinhl): Use smaller threshold for returning the argument. * math/auto-libm-test-in: Add more tests of sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix tan missing underflows (bug 16517).Joseph Myers2015-08-075-4/+51
| | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some tan 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, mips64 and powerpc. [BZ #16517] * sysdeps/ieee754/dbl-64/s_tan.c: Include <float.h>. (tan): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/k_tanf.c: Include <float.h>. (__kernel_tanf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/k_tanl.c: Include <float.h>. (__kernel_tanl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c: Include <float.h>. (__kernel_tanl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/k_tanl.c: Include <float.h>. (__kernel_tanl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of tan. * math/auto-libm-test-out: Regenerated.
* Fix sinh missing underflows (bug 16519).Joseph Myers2015-08-065-7/+43
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some sinh 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, mips64 and powerpc. [BZ #16519] * sysdeps/ieee754/dbl-64/e_sinh.c: Include <float.h>. (__ieee754_sinh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/e_sinhf.c: Include <float.h>. (__ieee754_sinhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/e_sinhl.c: Include <float.h>. (__ieee754_sinhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of sinh. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix powf (close to -1, large) (bug 18647).Joseph Myers2015-08-051-1/+1
| | | | | | | | | | | | | | | | The flt-32 implementation of powf wrongly uses x-1 instead of |x|-1 when computing log (x) for the case where |x| is close to 1 and y is large. This patch fixes the logic accordingly. Relevant tests existed for x close to 1, and corresponding tests are added for x close to -1, as well as for some new variant cases. Tested for x86_64 and x86. [BZ #18647] * sysdeps/ieee754/flt-32/e_powf.c (__ieee754_powf): For large y and |x| close to 1, use absolute value of x when computing log. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated.
* Remove unused file sysdeps/ieee754/support.cWilco Dijkstra2015-07-061-520/+0
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* Fix ldbl-128 expm1l (-min_subnorm) result sign (bug 18619).Joseph Myers2015-07-011-3/+12
| | | | | | | | | | | | | In the ldbl-128 implementation of expm1l, when expm1l's result should underflow to 0 (argument minus the least subnormal, in some rounding modes), it can be a zero of the wrong sign. This patch fixes this in the same way previously used for the x86 / x86_64 versions. Tested for mips64. [BZ #18619] * sysdeps/ieee754/ldbl-128/s_expm1l.c (__expm1l): Force underflow and return argument in case of subnormal argument.
* Improve tgamma accuracy (bug 18613).Joseph Myers2015-06-295-126/+271
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | In non-default rounding modes, tgamma can be slightly less accurate than permitted by glibc's accuracy goals. Part of the problem is error accumulation, addressed in this patch by setting round-to-nearest for internal computations. However, there was also a bug in the code dealing with computing pow (x + n, x + n) where x + n is not exactly representable, providing another source of error even in round-to-nearest mode; it was necessary to address both bugs to get errors for all testcases within glibc's accuracy goals. Given this second fix, accuracy in round-to-nearest mode is also improved (hence regeneration of ulps for tgamma should be from scratch - truncate libm-test-ulps or at least remove existing tgamma entries - so that the expected ulps can be reduced). Some additional complications also arose. Certain tgamma tests should strictly, according to IEEE semantics, overflow or not depending on the rounding mode; this is beyond the scope of glibc's accuracy goals for any function without exactly-determined results, but gen-auto-libm-tests doesn't handle being lax there as it does for underflow. (libm-test.inc also doesn't handle being lax about whether the result in cases very close to the overflow threshold is infinity or a finite value close to overflow, but that doesn't cause problems in this case though I've seen it cause problems with random test generation for some functions.) Thus, spurious-overflow markings, with a comment, are added to auto-libm-test-in (no bug in Bugzilla because the issue is with the testsuite, not a user-visible bug in glibc). And on x86, after the patch I saw ERANGE issues as previously reported by Carlos (see my commentary in <https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html>), which needed addressing by ensuring excess range and precision were eliminated at various points if FLT_EVAL_METHOD != 0. I also noticed and fixed a cosmetic issue where 1.0f was used in long double functions and should have been 1.0L. This completes the move of all functions to testing in all rounding modes with ALL_RM_TEST, so gen-libm-have-vector-test.sh is updated to remove the workaround for some functions not using ALL_RM_TEST. Tested for x86_64, x86, mips64 and powerpc. [BZ #18613] * sysdeps/ieee754/dbl-64/e_gamma_r.c (gamma_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gamma_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. * sysdeps/ieee754/flt-32/e_gammaf_r.c (gammaf_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammaf_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. * sysdeps/ieee754/ldbl-128/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * sysdeps/ieee754/ldbl-128ibm/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * sysdeps/ieee754/ldbl-96/e_gammal_r.c (gammal_positive): Take log of X_ADJ not X when adjusting exponent. (__ieee754_gammal_r): Do intermediate computations in round-to-nearest then adjust overflowing and underflowing results as needed. Use 1.0L not 1.0f as numerator of division. * math/libm-test.inc (tgamma_test_data): Remove one test. Moved to auto-libm-test-in. (tgamma_test): Use ALL_RM_TEST. * math/auto-libm-test-in: Add one test of tgamma. Mark some other tests of tgamma with spurious-overflow. * math/auto-libm-test-out: Regenerated. * math/gen-libm-have-vector-test.sh: Do not check for START. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix ldbl-128 j1l spurious underflows (bug 18612).Joseph Myers2015-06-291-0/+10
| | | | | | | | | | | | | | | | | The ldbl-128 implementation of j1l produces spurious underflow exceptions for some small arguments, as a result of squaring the argument. This patch fixes it just to use a linear approximation for sufficiently small arguments, and then to force an underflow exception only in the cases where it is required. Tested for mips64. [BZ #18612] * sysdeps/ieee754/ldbl-128/e_j1l.c (__ieee754_j1l): For small arguments, just return 0.5 times the argument, with underflow forced as needed. * math/auto-libm-test-in: Add more tests of j1. * math/auto-libm-test-out: Regenerated.
* Fix j1, jn missing underflows (bug 16559).Joseph Myers2015-06-298-5/+55
| | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, j1 and jn implementations can fail to raise the underflow exception when the internal computation is exact although the actual function is inexact. This patch forces the exception in a similar way to other such fixes. (The ldbl-128 / ldbl-128ibm j1l implementation is different and doesn't need a change for this until spurious underflows in it are fixed.) Tested for x86_64, x86, mips64 and powerpc. [BZ #16559] * sysdeps/ieee754/dbl-64/e_j1.c: Include <float.h>. (__ieee754_j1): Force underflow exception for small results. * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c: Include <float.h>. (__ieee754_j1f): Force underflow exception for small results. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c: Include <float.h>. (__ieee754_j1l): Force underflow exception for small results. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise. * math/auto-libm-test-in: Add more tests of j1 and jn. * math/auto-libm-test-out: Regenerated.
* Use round-to-nearest internally in jn, test with ALL_RM_TEST (bug 18602).Joseph Myers2015-06-255-710/+741
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Some existing jn tests, if run in non-default rounding modes, produce errors above those accepted in glibc, which causes problems for moving tests of jn to use ALL_RM_TEST. This patch makes jn set rounding to-nearest internally, as was done for yn some time ago, then computes the appropriate underflowing value for results that underflowed to zero in to-nearest, and moves the tests to ALL_RM_TEST. It does nothing about the general inaccuracy of Bessel function implementations in glibc, though it should make jn more accurate on average in non-default rounding modes through reduced error accumulation. The recomputation of results that underflowed to zero should as a side-effect fix some cases of bug 16559, where jn just used an exact zero, but that is *not* the goal of this patch and other cases of that bug remain unfixed. (Most of the changes in the patch are reindentation to add new scopes for SET_RESTORE_ROUND*.) Tested for x86_64, x86, powerpc and mips64. [BZ #16559] [BZ #18602] * sysdeps/ieee754/dbl-64/e_jn.c (__ieee754_jn): Set round-to-nearest internally then recompute results that underflowed to zero in the original rounding mode. * sysdeps/ieee754/flt-32/e_jnf.c (__ieee754_jnf): Likewise. * sysdeps/ieee754/ldbl-128/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c (__ieee754_jnl): Likewise. * sysdeps/ieee754/ldbl-96/e_jnl.c (__ieee754_jnl): Likewise * math/libm-test.inc (jn_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix ldbl-128 expl missing underflows (bug 18586).Joseph Myers2015-06-241-1/+9
| | | | | | | | | | | | | | | Similar to various other bugs in this area, the ldbl-128 expl implementation does not raise the underflow exception for all subnormal results, if the scaling down is exact although the actual result is inexact. This patch fixes this by forcing the exception in this case (the tests that failed before and pass after the test are already in the testsuite). Tested for mips64. [BZ #18586] * sysdeps/ieee754/ldbl-128/e_expl.c (__ieee754_expl): Force underflow exception for small results.
* Fix sin, sincos missing underflows (bug 16526, bug 16538).Joseph Myers2015-06-237-17/+74
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some sin and sincos 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, mips64 and powerpc. [BZ #16526] [BZ #16538] * sysdeps/ieee754/dbl-64/s_sin.c: Include <float.h>. (__sin): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/k_sinf.c: Include <float.h>. (__kernel_sinf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/k_sincosl.c: Include <float.h>. (__kernel_sincosl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/k_sinl.c: Include <float.h>. (__kernel_sinl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/k_sincosl.c: Include <float.h>. (__kernel_sincosl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/k_sinl.c: Include <float.h>. (__kernel_sinl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/k_sinl.c: Include <float.h>. (__kernel_sinl): Force underflow exception for arguments with small absolute value. * sysdeps/powerpc/fpu/k_sinf.c: Include <float.h>. (__kernel_sinf): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Add more tests of sin and sincos. * math/auto-libm-test-out: Regenerated.
* Fix spurious "inexact" exceptions from __kernel_standard_l (bug 18245, bug ↵Joseph Myers2015-06-231-24/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 18583). __kernel_standard_l converts long double arguments to double for use in SVID "struct exception". This has special-case handling for when that conversion would overflow or underflow but the original long double function wouldn't. However, it turns out that "inexact" exceptions can be spurious here as well, when the function is exactly determined and __kernel_standard_l is being called for a domain error. This patch fixes this by using feholdexcept / fesetenv to avoid exceptions from the conversion, replacing the previous special-case logic for overflow and underflow (this covers all functions using __kernel_standard_l, not just those that actually need a change, since there doesn't seem to be much point in restricting things just to the functions that mustn't get "inexact" here). Tested for x86_64 and x86. [BZ #18245] [BZ #18583] * sysdeps/ieee754/k_standardl.c: Include <fenv.h>. (__kernel_standard_l): Use feholdexcept and fesetenv around conversion to double instead of special-casing overflow and underflow. * math/libm-test.inc (fmod_test_data): Add more tests. (remainder_test_data): Likewise. (sqrt_test_data): Likewise.
* Fix exp2, exp2f spurious underflows (bug 18219).Joseph Myers2015-06-232-2/+6
| | | | | | | | | | | | | | | | | | | | | The dbl-64 and flt-32 implementations of exp2 functions produce spurious underflow exceptions. The underlying reason is the same in both cases: the computation works as (2^a - 1)*2^b + 2^b for suitably chosen a and b, where a has small magnitude so 2^a - 1 can be computed with a low-degree polynomial approximation, and (2^a - 1)*2^b can underflow even when the final result does not. This patch fixes this by adjusting the threshold for when scaling is used to avoid intermediate underflow so it works for any possible value of a where the final result would not underflow. Tested for x86_64 and x86. [BZ #18219] * sysdeps/ieee754/dbl-64/e_exp2.c (__ieee754_exp2): Reduce threshold on absolute value of exponent for which scaling is used. * sysdeps/ieee754/flt-32/e_exp2f.c (__ieee754_exp2f): Likewise. * math/auto-libm-test-in: Add more tests of exp2. * math/auto-libm-test-out: Regenerated.
* Fix expm1 missing underflows (bug 16353).Joseph Myers2015-06-223-1/+14
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some expm1 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 issue does not apply to the ldbl-* implementations or to those for x86 / x86_64 long double. The change to sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c is one I missed when previously fixing bug 16354; the bug in that implementation was previously latent, but the expm1 fixes stopped it being latent and so required it to be fixed to avoid spurious underflows from cosh.) Tested for x86_64 and x86. [BZ #16353] * sysdeps/i386/fpu/s_expm1.S (dbl_min): New object. (__expm1): Force underflow exception for arguments with small absolute value. * sysdeps/i386/fpu/s_expm1f.S (flt_min): New object. (__expm1f): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/dbl-64/s_expm1.c: Include <float.h>. (__expm1): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_expm1f.c: Include <float.h>. (__expm1f): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/dbl-64/wordsize-64/e_cosh.c (__ieee754_cosh): Check for small arguments before calling __expm1. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16353. * math/auto-libm-test-out: Regenerated.
* Fixed powerpc64 build.Andrew Senkevich2015-06-191-0/+4
| | | | | | * sysdeps/ieee754/ldbl-opt/s_sin.c (__DECL_SIMD_sincos_disable, __DECL_SIMD_sincos_disablef, __DECL_SIMD_sincos_disablel): Added empty definitions for proper unfolding of __MATHDECL_VEC.
* Fix asinh missing underflows (bug 16350).Joseph Myers2015-06-185-0/+30
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some asinh 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 and mips64. [BZ #16350] * sysdeps/i386/fpu/s_asinh.S (__asinh): Force underflow exception for arguments with small absolute value. * sysdeps/i386/fpu/s_asinhf.S (__asinhf): Likewise. * sysdeps/i386/fpu/s_asinhl.S (__asinhl): Likewise. * sysdeps/ieee754/dbl-64/s_asinh.c: Include <float.h>. (__asinh): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/flt-32/s_asinhf.c: Include <float.h>. (__asinhf): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * sysdeps/ieee754/ldbl-96/s_asinhl.c: Include <float.h>. (__asinhl): Force underflow exception for arguments with small absolute value. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 16350. * math/auto-libm-test-out: Regenerated.
* Remove ldbl-128ibm variants of complex math functions.Joseph Myers2015-06-173-281/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sysdeps/ieee754/ldbl-128ibm has its own versions of cprojl, ctanhl and ctanl. Having its own versions, where otherwise the math/ copies are generally used for all floating-point formats, means they are liable to get out of sync and not benefit from bug fixes to the generic versions. The substantive differences (not arising from getting out of sync and slightly different fixes for the same issues) are: long double compat handling (also done in the ldbl-opt versions, so doesn't require special versions for ldbl-128ibm); handling of LDBL_EPSILON (conditionally undefined and redefined in other math/ implementations, so doesn't justify a special version), and: /* __gcc_qmul does not respect -0.0 so we need the following fixup. */ if ((__real__ res == 0.0L) && (__real__ x == 0.0L)) __real__ res = __real__ x; if ((__real__ res == 0.0L) && (__imag__ x == 0.0L)) __imag__ res = __imag__ x; But if that statement about __gcc_qmul was ever true for an old version of that libgcc function, it's not the case for any GCC version now supported to build glibc; there's explicit logic early in that function (and similarly in __gcc_qdiv) to return an appropriately signed zero if the product of the high parts is zero. So this patch adds the special LDBL_EPSILON handling to the generic functions and removes the ldbl-128ibm versions. Tested for powerpc32 (compared test-ldouble.out before and after the changes; there are slight changes to results for ctanl / ctanhl, arising from divergence of the implementations, but nothing that affects the overall nature of the issues shown by the testsuite, and in particular nothing related to signs of zero resutls). * math/s_ctanhl.c [LDBL_MANT_DIG == 106] (LDBL_EPSILON): Undefine and redefine. * math/s_ctanl.c [LDBL_MANT_DIG == 106] (LDBL_EPSILON): Undefine and redefine. * sysdeps/ieee754/ldbl-128ibm/s_cprojl.c: Remove file. * sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c: Likewise. * sysdeps/ieee754/ldbl-128ibm/s_ctanl.c: Likewise.
* Replace finite with isfinite.Wilco Dijkstra2015-06-033-3/+3
|
* This patch renames all uses of __isinf*, __isnan*, __finite* and __signbit* ↵Wilco Dijkstra2015-06-0334-53/+53
| | | | to use standard C99 macros. This has no effect on generated code.
* 2015-05-28 Wilco Dijkstra <wdijkstr@arm.com>Wilco Dijkstra2015-05-282-10/+2
| | | | | * sysdeps/ieee754/dbl-64/s_fabs.c: (__fabs): Call __builtin_fabs. * sysdeps/ieee754/flt-32/s_fabsf.c: (__fabsf): Likewise.
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