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* Reduce number of constants in __finite* (bug 15384).Joseph Myers2015-09-171-1/+1
| | | | | | | | | | | | | | | | | | | 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 Myers2015-09-171-0/+5
| | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-161-1/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-09-161-16/+2
| | | | | | | | | | | | | | | | 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-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 Myers2015-09-103-0/+635
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix fma spurious underflows (bug 18824).Joseph Myers2015-08-141-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-08-131-1/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 tan missing underflows (bug 16517).Joseph Myers2015-08-071-1/+11
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-08-061-2/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 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 Myers2015-06-291-25/+49
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-06-291-0/+5
| | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-06-251-184/+190
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-06-232-7/+23
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 asinh missing underflows (bug 16350).Joseph Myers2015-06-181-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* This patch renames all uses of __isinf*, __isnan*, __finite* and __signbit* ↵Wilco Dijkstra2015-06-038-15/+15
| | | | to use standard C99 macros. This has no effect on generated code.
* Fix ldbl-128 / ldbl-128ibm tanl for -Wuninitialized.Joseph Myers2015-05-221-0/+12
| | | | | | | | | | | | | | | The ldbl-128 and ldbl-128ibm implementations of tanl produce uninitialized variable warnings with -Wuninitialized because of a variable that is initialized only conditionally, then used under the same conditions under which it is set. This patch uses DIAG_* macros to suppress those warnings. Tested for powerpc and mips64. * sysdeps/ieee754/ldbl-128/k_tanl.c: Include <libc-internal.h>. (__kernel_tanl): Ignore uninitialized warnings around use of SIGN. * sysdeps/ieee754/ldbl-128ibm/k_tanl.c: Include <libc-internal.h>. (__kernel_tanl): Ignore uninitialized warnings around use of SIGN.
* Fix ldbl-128 / ldbl-128ibm erfcl for -WuninitializedJoseph Myers2015-05-221-1/+1
| | | | | | | | | | | | | | | | | | | The ldbl-128 and ldbl-128ibm implementations of erfcl produce uninitialized variable warnings with -Wuninitialized because of switch statements where in fact one of the cases will always be executed, but the compiler does not see that these cases cover all possibilities (and because the reasoning that it does involves inequalities on the representation of a floating point value leading to a set of possible values for 8.0 times that value, converted to int, it's highly nontrivial for the compiler to see that). This patch fixes those warnings by converting the last case in those switch statements to a "default" case. Tested for powerpc and mips64. * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfcl): Make case 9 in switch statement into default case. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c (__erfcl): Likewise.
* Fix ldbl-128 / ldbl-128ibm asinl for -Wuninitialized.Joseph Myers2015-05-221-2/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | The ldbl-128 and ldbl-128ibm implementations of asinl produce uninitialized variable warnings with -Wuninitialized because the code for small arguments in fact always returns but the compiler cannot see this and instead sees that a variable would be uninitialized if the "if (huge + x > one)" conditional used to force the "inexact" exception were false. All the code in libm trying to force "inexact" for functions that are not exactly defined is suspect and should be removed at some point given that we now have a clear definition of the accuracy goals for libm functions which, following C99/C11, does not require anything about "inexact" for most functions (likewise, the multi-precision code that tries to give correctly-rounded results, very slowly, for functions for which the goals clearly do not include correct rounding, if the faster paths are accurate enough). However, for now this patch simply changes the code to use math_force_eval, rather than "if", to ensure the evaluation of the inexact computation. Tested for powerpc and mips64. * sysdeps/ieee754/ldbl-128/e_asinl.c (__ieee754_asinl): Don't use a conditional in forcing "inexact". * sysdeps/ieee754/ldbl-128ibm/e_asinl.c (__ieee754_asinl): Likewise.
* Fix atanhl missing underflows (bug 16352).Joseph Myers2015-05-151-1/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Similar to various other bugs in this area, some atanh 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. (No change in this regard is needed for the i386 implementation; special handling to force underflows in these cases will only be needed there when the spurious underflows, bug 18049, get fixed.) Tested for x86_64, x86, powerpc and mips64. [BZ #16352] * sysdeps/i386/fpu/e_atanh.S (dbl_min): New object. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/i386/fpu/e_atanhf.S (flt_min): New object. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/e_atanh.c: Include <float.h>. (__ieee754_atanh): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/e_atanhf.c: Include <float.h>. (__ieee754_atanhf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-96/e_atanhl.c: Include <float.h>. (__ieee754_atanhl): Force underflow exception for results with small absolute value. * math/auto-libm-test-in: Do not allow missing underflow exceptions from atanh. * math/auto-libm-test-out: Regenerated.
* Fix log1p missing underflows (bug 16339).Joseph Myers2015-05-141-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix ldbl-128 roundl for exponents in [31, 47] (bug 18346).Joseph Myers2015-04-281-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Set errno for log1p on pole/domain error.Stefan Liebler2015-04-131-2/+0
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix ldbl-128/ldbl-128ibm acosl inaccuracy (bug 18038, bug 18039).Joseph Myers2015-02-261-1/+1
| | | | | | | | | | | | | | | | | | | | | 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 Myers2015-02-261-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 atan / atan2 missing underflows (bug 15319).Joseph Myers2015-02-181-0/+7
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 15319, missing underflows from atan / atan2 when the result of atan is very close to its small argument (or that of atan2 is very close to the ratio of its arguments, which may be an exact division). The usual approach of doing an underflowing computation if the computed result is subnormal is followed. For 32-bit x86, there are extra complications: the inline __ieee754_atan2 in bits/mathinline.h needs to be disabled for float and double because other libm functions using it generally rely on getting proper underflow exceptions from it, while the out-of-line functions have to remove excess range and precision from the underflowing result so as to return an exact 0 in the case where errno should be set for underflow to 0. (The failures I saw without that are similar to those Carlos reported for other functions, where I haven't seen a response to <https://sourceware.org/ml/libc-alpha/2015-01/msg00485.html> confirming if my diagnosis is correct. Arguably all libm functions with float and double returns should remove excess range and precision, but that's a separate matter.) The x86_64 long double case reported in a comment in bug 15319 is not a bug (it's an argument of LDBL_MIN, and x86_64 is an after-rounding architecture so the correct IEEE result is not to raise underflow in the given rounding mode, in addition to treating the result as an exact LDBL_MIN being within the newly clarified documentation of accuracy goals). I'm presuming that the fpatan instruction can be trusted to raise appropriate exceptions when the (long double) result underflows (after rounding) and so no changes are needed for x86 / x86_64 long double functions here; empirically this is the case for the cases covered in the testsuite, on my system. Tested for x86_64, x86, powerpc and mips64. Only 32-bit x86 needs ulps updates (for the changes to inlines meaning some functions no longer get excess precision from their __ieee754_atan2* calls). [BZ #15319] * sysdeps/i386/fpu/e_atan2.S (dbl_min): New object. (MO): New macro. (__ieee754_atan2): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/e_atan2f.S (flt_min): New object. (MO): New macro. (__ieee754_atan2f): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/s_atan.S (dbl_min): New object. (MO): New macro. (__atan): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/i386/fpu/s_atanf.S (flt_min): New object. (MO): New macro. (__atanf): For results with small absolute value, force underflow exception and remove excess range and precision from return value. * sysdeps/ieee754/dbl-64/e_atan2.c: Include <float.h> and <math.h>. (__ieee754_atan2): Force underflow exception for results with small absolute value. * sysdeps/ieee754/dbl-64/s_atan.c: Include <float.h> and <math_private.h>. (atan): Force underflow exception for results with small absolute value. * sysdeps/ieee754/flt-32/s_atanf.c: Include <float.h>. (__atanf): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128/s_atanl.c: Include <float.h> and <math.h>. (__atanl): Force underflow exception for results with small absolute value. * sysdeps/ieee754/ldbl-128ibm/s_atanl.c: Include <float.h>. (__atanl): Force underflow exception for results with small absolute value. * sysdeps/x86/fpu/bits/mathinline.h [!__SSE2_MATH__ && !__x86_64__ && __LIBC_INTERNAL_MATH_INLINES] (__ieee754_atan2): Only define inline for long double. * sysdeps/x86_64/fpu/multiarch/e_atan2.c [HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Include <math.h>. * math/auto-libm-test-in: Do not mark underflow exceptions as possibly missing for bug 15319. Add more tests of atan2. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (casin_test_data): Do not mark underflow exceptions as possibly missing for bug 15319. (casinh_test_data): Likewise. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Fix sign of remquo zero remainder in round-downward mode (bug 17987).Joseph Myers2015-02-171-0/+3
| | | | | | | | | | | | | | | | | | | | | | Various remquo implementations produce a zero remainder with the wrong sign (a zero remainder should always have the sign of the first argument, as specified in IEEE 754) in round-downward mode, resulting from the sign of 0 - 0. This patch checks for zero results and fixes their sign accordingly. Tested for x86_64, x86, mips64 and powerpc. [BZ #17987] * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Ensure sign of zero result does not depend on the sign resulting from subtraction. * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * math/libm-test.inc (remquo_test_data): Add more tests.
* Fix remquo spurious overflows (bug 17978).Joseph Myers2015-02-161-2/+2
| | | | | | | | | | | | | | | | | | | | | | | Various remquo implementations, when computing the last three bits of the quotient, have spurious overflows when 4 times the second argument to remquo overflows. These overflows can in turn cause bad results in rounding modes where that overflow results in a finite value. This patch adds tests to avoid the problem multiplications in cases where they would overflow, similar to those that control an earlier multiplication by 8. Tested for x86_64, x86, mips64 and powerpc. [BZ #17978] * sysdeps/ieee754/dbl-64/s_remquo.c (__remquo): Do not form products 4 * y and 2 * y where those would overflow. * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Likewise. * sysdeps/ieee754/flt-32/s_remquof.c (__remquof): Likewise. * sysdeps/ieee754/ldbl-128/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-128ibm/s_remquol.c (__remquol): Likewise. * sysdeps/ieee754/ldbl-96/s_remquol.c (__remquol): Likewise. * math/libm-test.inc (remquo_test_data): Add more tests.
* Fix sincos errno setting (bug 15467).Joseph Myers2015-02-111-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | This patch makes sincos set errno to EDOM when passed an infinity, similarly to sin and cos. Tested for x86_64, x86, powerpc and mips64. I don't know if the architecture-specific implementations for ia64 and m68k might need corresponding fixes. 2015-02-11 Joseph Myers <joseph@codesourcery.com> [BZ #15467] * sysdeps/ieee754/dbl-64/s_sincos.c: Include <errno.h>. (__sincos): Set errno to EDOM for infinite argument. * sysdeps/ieee754/flt-32/s_sincosf.c: Include <errno.h>. (SINCOSF_FUNC): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-128/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-128ibm/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * sysdeps/ieee754/ldbl-96/s_sincosl.c: Include <errno.h>. (__sincosl): Set errno to EDOM for infinite argument. * math/libm-test.inc (sincos_test_data): Test errno setting.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2015-01-0229-29/+29
|
* powerpc: Fix lgammal_r overflow warningsAdhemerval Zanella2014-12-111-1/+9
| | | | | | | ldbl-128ibm uses ldbl-128 e_lgammal_r implementation as is, however some constants definitions overflows for IBM long double range. This patch suppress the compiler warnings until the ldbl-128ibm implementation is fixed.
* Force eval for fma implementationsRichard Henderson2014-08-011-5/+6
|
* Fix ldbl-128 expm1l spurious underflow (bug 16539).Joseph Myers2014-06-301-0/+5
| | | | | | | | | | | | | | | This patch fixes spurious underflows from ldbl-128 expm1l, as reported in <https://sourceware.org/ml/libc-alpha/2014-06/msg00835.html> and exposed by the tests added for such a bug in the x86 / x86-64 version. The bug and fix are essentially the same, so no separate bug is filed in Bugzilla. Tested for mips64. [BZ #16539] * sysdeps/ieee754/ldbl-128/s_expm1l.c: Include <float.h>. (__expm1l): Return argument unchanged when small but not subnormal.
* Fix ldbl-128 powl sign of result in overflow / underflow cases (bug 17097).Joseph Myers2014-06-291-13/+13
| | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 17097, ldbl-128 powl producing overflowing / underflowing results with positive sign when the result should have been negative. This was shown up by the tests in non-default rounding modes added by my patch for bug 16315, but isn't actually limited to non-default rounding modes: rather, when rounding to nearest the wrappers produced a result with the correct sign and so always hid the bug unless -lieee was used to disable the wrappers. The problem is that in the cases where Y is large enough that the result overflows or underflows for X not very close to 1, but not large enough to overflow or underflow for all X != +/- 1 (in the latter case Y is always an even integer), a positive overflowing / underflowing result is always returned, rather than one with the correct sign. This patch moves the relevant part of computation of the sign earlier and returns a result of the correct sign. Tested for mips64. [BZ #17097] * sysdeps/ieee754/ldbl-128/e_powl.c (__ieee754_powl): Return result with correct sign in case of exponents that produce overflow except for X very close to 1.
* Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562).Joseph Myers2014-06-271-64/+75
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bugs 16561 and 16562, bad results of yn in overflow cases in non-default rounding modes, both because an intermediate overflow in the recurrence does not get detected if the result is not an infinity and because an overflowing result may occur in the wrong sign. The fix is to set FE_TONEAREST mode internally for the parts of the function where such overflows can occur (which includes the call to y1 - where yn is used to compute a Bessel function of order -1, negating the result of y1 isn't correct for overflowing results in directed rounding modes) and then compute an overflowing value in the original rounding mode if the to-nearest result was an infinity. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 and powerpc32 to test the ldbl-128 and ldbl-128ibm changes. (The tests for these bugs were added in my previous y1 patch, so the only thing this patch has to do with the testsuite is enable yn testing in all rounding modes.) [BZ #16561] [BZ #16562] * sysdeps/ieee754/dbl-64/e_jn.c: Include <float.h>. (__ieee754_yn): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/flt-32/e_jnf.c: Include <float.h>. (__ieee754_ynf): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-128/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-128ibm/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/ieee754/ldbl-96/e_jnl.c: Include <float.h>. (__ieee754_ynl): Set FE_TONEAREST mode internally and then recompute overflowing results in original rounding mode. * sysdeps/i386/fpu/fenv_private.h [!__SSE2_MATH__] (libc_feholdsetround_ctx): New macro. * math/libm-test.inc (yn_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps : Likewise.
* Fix exp10 spurious underflows (bug 16560).Joseph Myers2014-06-251-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes spurious underflows from exp10 for arguments near 0 (part of bug 16560; that bug also includes spurious underflows from exp2, which are not fixed by this patch). The problem is underflows in the internal computation converting the exp10 argument to arguments for exp (with extra precision), and the fix is simply to return 1 early for arguments near enough to 0 (just as arguments with large enough magnitude have their own overflow / underflow logic at the start of the function). Tested x86_64 and x86 and ulps updated accordingly; also tested for powerpc32 and mips64 to validate the ldbl-128ibm and ldbl-128 changes. [BZ #16560] * sysdeps/ieee754/dbl-64/e_exp10.c (__ieee754_exp10): Return 1 for arguments close to 0. * sysdeps/ieee754/ldbl-128/e_exp10l.c (__ieee754_exp10l): Likewise. * sysdeps/ieee754/ldbl-128ibm/e_exp10l.c (__ieee754_exp10l): Likewise. * math/auto-libm-test-in: Add more tests of exp10. * math/auto-libm-test-out: Regenerated. * sysdeps/x86_64/fpu/libm-test-ulps: Update.
* Fix ldbl-128 erfl spurious underflows (bug 16287).Joseph Myers2014-06-241-0/+2
| | | | | | | | | | | | | | | | | | | | This patch fixes bug 16287, spurious underflows from ldbl-128 erfl arising from it calling erfcl for arguments with absolute value at least 1.0, although for large positive arguments erfcl correctly underflows but erfl shouldn't. The fix is simply to avoid calling erfcl, and just return 1, for arguments above a cut-off large enough that erfl correctly rounds to-nearest as 1 but not so large that erfcl underflows. Tested mips64. Also tested x86_64 and x86 to confirm the new tests (taken from the tests of erfc) don't cause any problems there; no ulps updates needed. [BZ #16287] * sysdeps/ieee754/ldbl-128/s_erfl.c (__erfl): Return 1 without calling __erfcl for arguments at least 16. * math/auto-libm-test-in: Add more tests of erf. * math/auto-libm-test-out: Regenerated.
* Fix cosh spurious underflows from expm1 (bug 16354), inaccurate results near ↵Joseph Myers2014-06-231-2/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0 (bug 17061). This patch fixes bug 16354, spurious underflows from cosh when a tiny argument is passed to expm1 and expm1 correctly underflows although the final result of cosh should be 1. As noted in that bug, some cases are latent because of expm1 implementations not raising underflow (bug 16353), but all the implementations are fixed similarly. They already contained checks for tiny arguments, but the checks were too late to avoid underflow from expm1 (although they would avoid underflow from subsequent squaring of the result of expm1); they are moved before the expm1 calls. The thresholds used for considering arguments tiny are not particularly consistent in how they relate to the precision of the floating-point format in question. They are, however, all sufficient to ensure that the round-to-nearest result of cosh is indeed 1 below the threshold (although sometimes they are smaller than necessary). But the previous logic did not return 1, but the previously computed 1 + expm1(abs(x)) value. And the thresholds in the ldbl-128 and ldbl-128ibm code (0x1p-71L - I suspect 0x3f8b was intended in the code instead of 0x3fb8 - and (roughly) 0x1p-55L) are not sufficient for that value to be 1. So by moving the test for tiny arguments, and consequently returning 1 directly now the expm1 value hasn't been computed by that point, this patch also fixes bug 17061, the (large number of ulps) inaccuracy for small arguments in those implementations. Tests for that bug are duly added. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 and powerpc32 to validate the ldbl-128 and ldbl-128ibm changes. [BZ #16354] [BZ #17061] * sysdeps/ieee754/dbl-64/e_cosh.c (__ieee754_cosh): Check for small arguments before calling __expm1. * sysdeps/ieee754/flt-32/e_coshf.c (__ieee754_coshf): Check for small arguments before calling __expm1f. * sysdeps/ieee754/ldbl-128/e_coshl.c (__ieee754_coshl): Check for small arguments before calling __expm1l. * sysdeps/ieee754/ldbl-128ibm/e_coshl.c (__ieee754_coshl): Likewise. * sysdeps/ieee754/ldbl-96/e_coshl.c (__ieee754_coshl): Likewise. * math/auto-libm-test-in: Add more cosh tests. Do not allow spurious underflow for some cosh tests. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update.
* Set errno for y1 overflow (bug 17050).Joseph Myers2014-06-231-1/+7
| | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 17050, missing errno setting for y1 overflow (for small positive arguments). An appropriate check is added for overflow directly in the __ieee754_y1 implementation, similar to the check present for yn (doing it there rather than in the wrapper also avoids yn needing to repeat the check when called for order 1 or -1 and it uses __ieee754_y1). Tested x86_64 and x86; no ulps update needed. Also tested for mips64 to verify the ldbl-128 fix (the ldbl-128ibm code just #includes the ldbl-128 file). [BZ #17050] * sysdeps/ieee754/dbl-64/e_j1.c: Include <errno.h>. (__ieee754_y1): Set errno if return value overflows. * sysdeps/ieee754/flt-32/e_j1f.c: Include <errno.h>. (__ieee754_y1f): Set errno if return value overflows. * sysdeps/ieee754/ldbl-128/e_j1l.c: Include <errno.h>. (__ieee754_y1l): Set errno if return value overflows. * sysdeps/ieee754/ldbl-96/e_j1l.c: Include <errno.h>. (__ieee754_y1l): Set errno if return value overflows. * math/auto-libm-test-in: Add more tests of y0, y1 and yn. * math/auto-libm-test-out: Regenerated.
* [BZ #6803] Set errno for scalbln, scalbnStefan Liebler2014-06-201-1/+0
| | | | | | | | | | | Errno is not set and the testcases will fail. Now the scalbln-aliases are removed in i386/m68 and the wrappers are used when calling the scalbln-functions. On ia64 only scalblnf has its own implementation. For scalbln and scalblnl the ieee754/dbl-64 and ieee754/ldbl-96 are used, thus the wrappers are needed, too.
* Fix log2 (1) in round-downward mode (bug 17042).Joseph Myers2014-06-101-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | As with other issues of this kind, bug 17042 is log2 (1) wrongly returning -0 instead of +0 in round-downward mode because of implementations effectively in terms of log1p (x - 1). This patch fixes the issue in the same way used for log and log10. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 to confirm a fix was needed for ldbl-128 and to validate that fix (also applied to ldbl-128ibm since that version of log2l is essentially the same as the ldbl-128 one). [BZ #17042] * sysdeps/i386/fpu/e_log2.S (__ieee754_log2): Take absolete value when x - 1 is zero. * sysdeps/i386/fpu/e_log2f.S (__ieee754_log2f): Likewise. * sysdeps/i386/fpu/e_log2l.S (__ieee754_log2l): Likewise. * sysdeps/ieee754/ldbl-128/e_log2l.c (__ieee754_log2l): Return 0.0L for an argument of 1.0L. * sysdeps/ieee754/ldbl-128ibm/e_log2l.c (__ieee754_log2l): Likewise. * sysdeps/x86_64/fpu/e_log2l.S (__ieee754_log2l): Take absolute value when x - 1 is zero. * math/libm-test.inc (log2_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log10 (1) in round-downward mode (bug 16977).Joseph Myers2014-05-231-0/+3
| | | | | | | | | | | | | | | | | | | | | | | | | | | As with various other issues of this kind, bug 16977 is log10 (1) wrongly returning -0 rather than +0 in round-downward mode because of an implementation effectively in terms of log1p (x - 1). This patch fixes the issue in the same way used for log. Tested x86_64 and x86 and ulps updated accordingly. Also tested for mips64 to confirm a fix was needed for ldbl-128 and to validate that fix (also applied to ldbl-128ibm since that version of logl is essentially the same as the ldbl-128 one). [BZ #16977] * sysdeps/i386/fpu/e_log10.S (__ieee754_log10): Take absolute value when x - 1 is zero. * sysdeps/i386/fpu/e_log10f.S (__ieee754_log10f): Likewise. * sysdeps/i386/fpu/e_log10l.S (__ieee754_log10l): Likewise. * sysdeps/ieee754/ldbl-128/e_log10l.c (__ieee754_log10l): Return 0.0L for an argument of 1.0L. * sysdeps/ieee754/ldbl-128ibm/e_log10l.c (__ieee754_log10l): Likewise. * sysdeps/x86_64/fpu/e_log10l.S (__ieee754_log10l): Take absolute value when x - 1 is zero. * math/libm-test.inc (log10_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log1pl (LDBL_MAX) in FE_UPWARD mode (bug 16564).Joseph Myers2014-05-141-1/+4
| | | | | | | | | | | | | | | | | | | | | | | Bug 16564 is spurious overflow of log1pl (LDBL_MAX) in FE_UPWARD mode, resulting from log1pl adding 1 to its argument (for arguments not close to 0), which overflows in that mode. This patch fixes this by avoiding adding 1 to large arguments (precisely what counts as large depends on the floating-point format). Tested x86_64 and x86, and spot-checked log1pl tests on mips64 and powerpc64. [BZ #16564] * sysdeps/i386/fpu/s_log1pl.S (__log1pl): Do not add 1 to positive arguments with exponent 65 or above. * sysdeps/ieee754/ldbl-128/s_log1pl.c (__log1pl): Do not add 1 to arguments 0x1p113L or above. * sysdeps/ieee754/ldbl-128ibm/s_log1pl.c (__log1pl): Do not add 1 to arguments 0x1p107L or above. * sysdeps/x86_64/fpu/s_log1pl.S (__log1pl): Do not add 1 to positive arguments with exponent 65 or above. * math/auto-libm-test-in: Add more tests of log1p. * math/auto-libm-test-out: Regenerated.
* Fix erf underflow handling near 0 (bug 16516).Joseph Myers2014-05-141-4/+12
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Bug 16516 reports spurious underflows from erf (for all floating-point types), when the result is close to underflowing but does not actually underflow. erf (x) is about (2/sqrt(pi))*x for x close to 0, so there are subnormal arguments for which it does not underflow. The various implementations do (x + efx*x) (for efx = 2/sqrt(pi) - 1), for greater accuracy than if just using a single multiplication by an approximation to 2/sqrt(pi) (effectively, this way there are a few more bits in the approximation to 2/sqrt(pi)). This can introduce underflows when efx*x underflows even though the final result does not, so a scaled calculation with 8*efx is done in these cases - but 8 is not a big enough scale factor to avoid all such underflows. 16 is (any underflows with a scale factor of 16 would only occur when the final result underflows), so this patch changes the code to use that factor. Rather than recomputing all the values of the efx8 variable, it is removed, leaving it to the compiler's constant folding to compute 16*efx. As such scaling can also lose underflows when the final scaling down happens to be exact, appropriate checks are added to ensure underflow exceptions occur when required in such cases. Tested x86_64 and x86; no ulps updates needed. Also spot-checked for powerpc32 and mips64 to verify the changes to the ldbl-128ibm and ldbl-128 implementations. [BZ #16516] * sysdeps/ieee754/dbl-64/s_erf.c (efx8): Remove variable. (__erf): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/flt-32/s_erff.c (efx8): Remove variable. (__erff): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/ldbl-128/s_erfl.c: Include <float.h>. (efx8): Remove variable. (__erfl): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/ldbl-128ibm/s_erfl.c: Include <float.h>. (efx8): Remove variable. (__erfl): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * sysdeps/ieee754/ldbl-96/s_erfl.c: Include <float.h>. (efx8): Remove variable. (__erfl): Scale by 16 instead of 8 in potentially underflowing case. Ensure exception if result actually underflows. * math/auto-libm-test-in: Add more tests of erf. * math/auto-libm-test-out: Regenerated.
* [BZ #16823] Fix log1pl returning wrong infinity signStefan Liebler2014-04-291-1/+1
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* [BZ #16824] Fix failing y1 due to too large ulps in downward/upward rounding ↵Stefan Liebler2014-04-161-0/+1
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* Fix log (1) in round-downward mode (bug 16731).Joseph Myers2014-03-211-0/+2
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | According to ISO C Annex F, log (1) should be +0 in all rounding modes, but some implementations in glibc wrongly return -0 in round-downward mode (mapping to log1p (x - 1) is problematic because 1 - 1 is -0 in round-downward mode, and log1p (-0) is -0). This patch fixes this. (It helps with some implementations of other functions such as acosh, log2 and log10 that call out to log, but not enough to enable all-rounding-modes testing for those functions without further fixes to other implementations of them.) Tested x86_64 and x86 and ulps updated accordingly, and did spot tests for mips64 for the ldbl-128 fix, and i586 for the sysdeps/i386/fpu implementations shadowed by those in sysdeps/i386/i686/fpu. [BZ #16731] * sysdeps/i386/fpu/e_log.S (__ieee754_log): Take absolute value when x - 1 is zero. * sysdeps/i386/fpu/e_logf.S (__ieee754_logf): Likewise. * sysdeps/i386/fpu/e_logl.S (__ieee754_logl): Likewise. * sysdeps/i386/i686/fpu/e_logl.S (__ieee754_logl): Likewise. * sysdeps/ieee754/dbl-64/e_log.c (__ieee754_log): Return +0 when argument is 1. * sysdeps/ieee754/ldbl-128/e_logl.c (__ieee754_logl): Likewise. * sysdeps/x86_64/fpu/e_logl.S: Take absolute value when x - 1 is zero. * math/libm-test.inc (log_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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