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* 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 Myers2015-08-071-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | 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/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Improve tgamma accuracy (bug 18613).Joseph Myers2015-06-291-25/+62
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 j1, jn missing underflows (bug 16559).Joseph Myers2015-06-292-2/+16
| | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-06-251-153/+159
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 sin, sincos missing underflows (bug 16526, bug 16538).Joseph Myers2015-06-231-1/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 exp2, exp2f spurious underflows (bug 18219).Joseph Myers2015-06-231-1/+3
| | | | | | | | | | | | | | | | | | | | | 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 Myers2015-06-222-1/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* 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 Dijkstra2015-06-037-11/+11
| | | | to use standard C99 macros. This has no effect on generated code.
* 2015-05-28 Wilco Dijkstra <wdijkstr@arm.com>Wilco Dijkstra2015-05-281-5/+1
| | | | | * sysdeps/ieee754/dbl-64/s_fabs.c: (__fabs): Call __builtin_fabs. * sysdeps/ieee754/flt-32/s_fabsf.c: (__fabsf): Likewise.
* Fix lgamma implementations for -Wuninitialized.Joseph Myers2015-05-211-0/+12
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | If you remove the "override CFLAGS += -Wno-uninitialized" in math/Makefile, you get errors from lgamma implementations of the form: ../sysdeps/ieee754/dbl-64/e_lgamma_r.c: In function '__ieee754_lgamma_r': ../sysdeps/ieee754/dbl-64/e_lgamma_r.c:297:13: error: 'nadj' may be used uninitialized in this function [-Werror=maybe-uninitialized] if(hx<0) r = nadj - r; This is one of the standard kinds of false positive uninitialized warnings: nadj is set under a certain condition, and then later used under the same condition. This patch uses DIAG_* macros to suppress the warning on the use of nadj. The ldbl-128 / ldbl-128ibm implementation has a substantially different structure that avoids this issue. Tested for x86_64. (In fact this patch eliminates the need for that -Wno-uninitialized on x86_64, but I want to test on more architectures before removing it.) * sysdeps/ieee754/dbl-64/e_lgamma_r.c: Include <libc-internal.h>. (__ieee754_lgamma_r): Ignore uninitialized warnings around use of NADJ. * sysdeps/ieee754/flt-32/e_lgammaf_r.c: Include <libc-internal.h>. (__ieee754_lgammaf_r): Ignore uninitialized warnings around use of NADJ. * sysdeps/ieee754/ldbl-96/e_lgammal_r.c: Include <libc-internal.h>. (__ieee754_lgammal_r): Ignore uninitialized warnings around use of NADJ.
* Fix sysdeps/ieee754/dbl-64/mpa.c for -Wuninitialized.Joseph Myers2015-05-211-2/+3
| | | | | | | | | | | | | | | | | | | | If you remove the "override CFLAGS += -Wno-uninitialized" in math/Makefile, one of the errors you get is: ../sysdeps/ieee754/dbl-64/mpa.c: In function '__mp_dbl.part.0': ../sysdeps/ieee754/dbl-64/mpa.c:183:5: error: 'c' may be used uninitialized in this function [-Werror=maybe-uninitialized] c *= X[0]; The problem is that the p < 5 case initializes c if p is 1, 2, 3 or 4 but not otherwise, and in fact p is positive for all calls to this function so the uninitialized case can't actually occur. This patch replaces the "if (p == 4)" last case with a comment so the compiler can see that all paths do initialize c. Tested for x86_64. * sysdeps/ieee754/dbl-64/mpa.c (norm): Remove if condition on (p == 4) case.
* Fix atanhl missing underflows (bug 16352).Joseph Myers2015-05-151-0/+6
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Remove various ABS macros and replace uses with fabs (or in one case abs)Wilco Dijkstra2015-05-1511-85/+90
| | | | which is more efficient on all targets.
* Fix log1p missing underflows (bug 16339).Joseph Myers2015-05-141-1/+9
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Use __copysign rather than copysign.Wilco Dijkstra2015-04-221-1/+1
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* Set errno for log1p on pole/domain error.Stefan Liebler2015-04-131-5/+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 dbl-64 atan2 in non-default rounding modes (bug 18210, bug 18211).Joseph Myers2015-04-081-0/+2
| | | | | | | | | | | | | | | | | | | | | | The dbl-64 implementation of atan2 does computations that expect to run in round-to-nearest mode, and in other modes the errors can accumulate to more than the maximum accepted 9ulp. This patch makes it use FE_TONEAREST internally, similar to other functions with such issues. Tests that previously produced large errors are added for atan2 and the closely related carg, clog and clog10 functions. Tested for x86_64 and x86 and ulps updated accordingly. [BZ #18210] [BZ #18211] * sysdeps/ieee754/dbl-64/e_atan2.c: Include <fenv.h>. (__ieee754_atan2): Set FE_TONEAREST mode for internal computations. * math/auto-libm-test-in: Add more tests of atan2, carg, clog and clog10. * math/auto-libm-test-out: Regenerated. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix dbl-64 atan in non-default rounding modes (bug 18197).Joseph Myers2015-04-081-0/+2
| | | | | | | | | | | | | | | The dbl-64 implementation of atan does computations that expect to run in round-to-nearest mode, and in other modes the errors can accumulate to more than the maximum accepted 9ulp. This patch makes it use FE_TONEAREST internally, similar to other functions with such issues. Tested for x86_64 and x86; no ulps updates needed. [BZ #18197] * sysdeps/ieee754/dbl-64/s_atan.c: Include <fenv.h>. (atan): Set FE_TONEAREST mode for internal computations. * math/auto-libm-test-in: Add more tests of atan. * math/auto-libm-test-out: Regenerated.
* powerpc: Fix incorrect results for pow when using FMAAdhemerval Zanella2015-03-101-0/+1
| | | | | This patch adds no FMA generation for e_pow to avoid precision issues for powerpc. This fixes BZ#18104.
* Avoid uninitialized warnings in Bessel functions.Joseph Myers2015-02-262-4/+8
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | math/Makefile currently has: # The fdlibm code generates a lot of these warnings but is otherwise clean. override CFLAGS += -Wno-uninitialized This is of course undesirable; warnings should be disabled as narrowly as possible. To remove this override, we need to fix files that generate such warnings, or put warning-disabling pragmas in them. This patch does so for Bessel function implementations, one of the cases that have the warnings if the override is removed. The warnings arise because functions set pointer variables p and q only for certain values of the function argument, then use them unconditionally. As the static functions in question only get called for arguments that satisfy the last condition in the if/else chain, the natural fix is to change the last "else if" to just "else", which this patch does. (The ldbl-128 / ldbl-128ibm implementation of these functions is substantially different and looks like it already does use "else" in the last case in the nearest corresponding code.) Tested for x86_64 and x86. * sysdeps/ieee754/dbl-64/e_j0.c (pzero): Change last case for setting p and q from "else if" to "else". (qzero): Likewise. * sysdeps/ieee754/dbl-64/e_j1.c (pone): Likewise. (qone): Likewise. * sysdeps/ieee754/flt-32/e_j0f.c (pzerof): Likewise. (qzerof): Likewise. * sysdeps/ieee754/flt-32/e_j1f.c (ponef): Likewise. (qonef): Likewise. * sysdeps/ieee754/ldbl-96/e_j0l.c (pzero): Likewise. (qzero): Likewise. * sysdeps/ieee754/ldbl-96/e_j1l.c (pone): Likewise. (qone): Likewise.
* Fix asin missing underflows (bug 16351).Joseph Myers2015-02-261-1/+11
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-02-182-3/+22
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-02-172-0/+6
| | | | | | | | | | | | | | | | | | | | | | 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 Myers2015-02-162-4/+4
| | | | | | | | | | | | | | | | | | | | | | | 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 dbl-64/wordsize-64 remquo (bug 17569).Joseph Myers2015-02-131-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The dbl-64/wordsize-64 remquo implementation follows similar logic to various other implementations, but where that logic computes some absolute values, it wrongly uses a previously computed bit-pattern for the absolute value of the first argument, where actually it needs the absolute value of the first argument mod 8 times the second. This patch fixes it to compute the correct absolute value. The integer quotient result of remquo is only specified mod 8 (including its sign); architecture-specific versions may well vary in what results they give for higher bits of that result (and indeed bug 17569 gives an example correct result from __builtin_remquo giving 9 for that result, where the particular glibc implementation used in that bug report would give 1 after this fix). Thus, this patch adapts the tests of remquo to test that result only mod 8, to allow for such variation when tests with higher quotient are included. Tested for x86_64 and x86. [BZ #17569] * sysdeps/ieee754/dbl-64/wordsize-64/s_remquo.c (__remquo): Compute absolute value of x as modified by fmod, not original value of x. * math/libm-test.inc (RUN_TEST_ffI_f1): Rename to RUN_TEST_ffI_f1_mod8. Check extra return value mod 8. (RUN_TEST_LOOP_ffI_f1): Rename to RUN_TEST_LOOP_ffI_f1_mod8. Call RUN_TEST_ffI_f1_mod8. (remquo_test_data): Add more tests.
* Fix exp2 spurious underflows (bug 16560).Joseph Myers2015-02-121-0/+3
| | | | | | | | | | | | | | | | | | | | | | This patch fixes the remaining part of bug 16560, spurious underflows from exp2 of arguments close to 0 (when the result is close to 1, so should not underflow), by just using 1+x instead of a more complicated calculation when the argument is sufficiently small. Tested for x86_64, x86 and mips64. [BZ #16560] * math/e_exp2l.c [LDBL_MANT_DIG == 106] (LDBL_EPSILON): Undefine and redefine. (__ieee754_exp2l): Do not multiply small fractional parts by M_LN2l. * sysdeps/i386/fpu/e_exp2l.S (__ieee754_exp2l): Just add 1 to small argument. * 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 (__ieee754_exp2l): Likewise. * math/auto-libm-test-in: Add more tests of exp2. * math/auto-libm-test-out: Regenerated.
* 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.
* lround: provide cast for wordsize-64 version if neededChris Metcalf2015-01-051-6/+22
| | | | | | | | | Platforms with 64-bit registers where 32-bit values need to have the high 32 bits set in a particular way need to have an explicit cast when using the 64-bit sysdeps/ieee754/dbl-64/wordsize-64 version of llround() as lround(). This includes tilegx32, and likely MIPS. x32 does not need this, and AArch64 ILP32 will not either. Require it to be specified in sysdep.h to be explicit.
* Fix libm fegetround namespace (bug 17748).Joseph Myers2015-01-021-1/+1
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Continuing the fixes for C90 libm functions calling C99 fe* functions, this patch fixes the case of fegetround by making it a weak alias of __fegetround and making the affected code call __fegetround. Tested for x86_64 (testsuite, and that disassembly of installed shared libraries is unchanged by the patch). Also tested for ARM (soft-float) that fegetround failures disappear from the linknamespace test failures (feholdexcept, fesetenv, fesetround and feupdateenv remain to be addressed before bug 17748 is fully fixed, although this patch may suffice to fix the failures in some cases, when the libc_fe* functions are implemented but there is no architecture-specific sqrt implementation in use so there were failures from fegetround used by sqrt but no other such failures). [BZ #17748] * include/fenv.h (__fegetround): Declare. Use libm_hidden_proto. * math/fegetround.c (fegetround): Rename to __fegetround and define as weak alias of __fegetround. Use libm_hidden_weak. * sysdeps/aarch64/fpu/fegetround.c (fegetround): Likewise. * sysdeps/alpha/fpu/fegetround.c (fegetround): Likewise. * sysdeps/arm/fegetround.c (fegetround): Likewise. * sysdeps/hppa/fpu/fegetround.c (fegetround): Likewise. * sysdeps/i386/fpu/fegetround.c (fegetround): Likewise. * sysdeps/ia64/fpu/fegetround.c (fegetround): Likewise. * sysdeps/m68k/fpu/fegetround.c (fegetround): Likewise. * sysdeps/mips/fpu/fegetround.c (fegetround): Likewise. * sysdeps/powerpc/fpu/fegetround.c (fegetround): Likewise. Undefine after rather than before function definition; use parentheses around function name in definition. (__fegetround): Also undefine macro after function definition. * sysdeps/powerpc/nofpu/fegetround.c (fegetround): Rename to __fegetround and define as weak alias of __fegetround. Use libm_hidden_weak. Do not undefine as macro. * sysdeps/powerpc/powerpc32/e500/nofpu/fegetround.c (fegetround): Likewise. * sysdeps/s390/fpu/fegetround.c (fegetround): Rename to __fegetround and define as weak alias of __fegetround. Use libm_hidden_weak. * sysdeps/sh/sh4/fpu/fegetround.c (fegetround): Likewise. * sysdeps/sparc/fpu/fegetround.c (fegetround): Likewise. * sysdeps/tile/math_private.h (__fegetround): New inline function. * sysdeps/x86_64/fpu/fegetround.c (fegetround): Rename to __fegetround and define as weak alias of __fegetround. Use libm_hidden_weak. * sysdeps/ieee754/dbl-64/e_sqrt.c (__ieee754_sqrt): Use __fegetround instead of fegetround.
* Update copyright dates with scripts/update-copyrights.Joseph Myers2015-01-0288-88/+88
|
* Fix libm mpone, mptwo namespace (bug 17616).Joseph Myers2014-11-187-13/+13
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | libm uses symbols mpone and mptwo for internal purposes. This patch moves them to the implementation namespace (__mpone and __mptwo). Tested for x86_64 (testsuite, and that installed stripped shared libraries are unchanged by the patch). [BZ #17616] * sysdeps/ieee754/dbl-64/mpa.c (mpone): Rename to __mpone. (mptwo): Rename to __mptwo. (__inv): Use __mptwo instead of mptwo. * sysdeps/ieee754/dbl-64/mpa.h (mpone): Rename to __mpone. (mptwo): Rename to __mptwo. * sysdeps/ieee754/dbl-64/mpatan.c (__mpatan): Use __mpone instead of mpone and __mptwo instead of mptwo. * sysdeps/ieee754/dbl-64/mpatan2.c (__mpatan2): Use __mpone instead of mpone. * sysdeps/ieee754/dbl-64/mpexp.c (__mpexp): Likewise. * sysdeps/ieee754/dbl-64/mplog.c (__mplog): Likewise. * sysdeps/ieee754/dbl-64/sincos32.c (__c32): Use __mpone instead of mpone and __mptwo instead of mptwo. (__mpranred): Use __mpone instead of mpone. * conform/Makefile (test-xfail-ISO/math.h/linknamespace): Remove variable. (test-xfail-ISO99/complex.h/linknamespace): Likewise. (test-xfail-ISO99/math.h/linknamespace): Likewise. (test-xfail-ISO99/tgmath.h/linknamespace): Likewise. (test-xfail-ISO11/complex.h/linknamespace): Likewise. (test-xfail-ISO11/math.h/linknamespace): Likewise. (test-xfail-ISO11/tgmath.h/linknamespace): Likewise. (test-xfail-XPG3/math.h/linknamespace): Likewise. (test-xfail-XPG4/math.h/linknamespace): Likewise. (test-xfail-POSIX/math.h/linknamespace): Likewise. (test-xfail-UNIX98/math.h/linknamespace): Likewise. (test-xfail-XOPEN2K/complex.h/linknamespace): Likewise. (test-xfail-XOPEN2K/math.h/linknamespace): Likewise. (test-xfail-XOPEN2K/tgmath.h/linknamespace): Likewise. (test-xfail-POSIX2008/complex.h/linknamespace): Likewise. (test-xfail-POSIX2008/math.h/linknamespace): Likewise. (test-xfail-POSIX2008/tgmath.h/linknamespace): Likewise. (test-xfail-XOPEN2K8/complex.h/linknamespace): Likewise. (test-xfail-XOPEN2K8/math.h/linknamespace): Likewise. (test-xfail-XOPEN2K8/tgmath.h/linknamespace): Likewise.
* Force eval for fma implementationsRichard Henderson2014-08-011-5/+6
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* Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562).Joseph Myers2014-06-271-53/+64
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 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/+5
| | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix pow overflow in non-default rounding modes (bug 16315).Joseph Myers2014-06-231-20/+41
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | This patch fixes bug 16315, bad pow handling of overflow/underflow in non-default rounding modes. Tests of pow are duly converted to ALL_RM_TEST to run all tests in all rounding modes. There are two main issues here. First, various implementations compute a negative result by negating a positive result, but this yields inappropriate overflow / underflow values for directed rounding, so either overflow / underflow results need recomputing in the correct sign, or the relevant overflowing / underflowing operation needs to be made to have a result of the correct sign. Second, the dbl-64 implementation sets FE_TONEAREST internally; in the overflow / underflow case, the result needs recomputing in the original rounding mode. Tested x86_64 and x86 and ulps updated accordingly. [BZ #16315] * sysdeps/i386/fpu/e_pow.S (__ieee754_pow): Ensure possibly overflowing or underflowing operations take place with sign of result. * sysdeps/i386/fpu/e_powf.S (__ieee754_powf): Likewise. * sysdeps/i386/fpu/e_powl.S (__ieee754_powl): Likewise. * sysdeps/ieee754/dbl-64/e_pow.c: Include <math.h>. (__ieee754_pow): Recompute overflowing and underflowing results in original rounding mode. * sysdeps/x86/fpu/powl_helper.c: Include <stdbool.h>. (__powl_helper): Allow negative argument X and scale negated value as needed. Avoid passing value outside [-1, 1] to f2xm1. * sysdeps/x86_64/fpu/e_powl.S (__ieee754_powl): Ensure possibly overflowing or underflowing operations take place with sign of result. * sysdeps/x86_64/fpu/multiarch/e_pow.c [HAVE_FMA4_SUPPORT]: Include <math.h>. * math/auto-libm-test-in: Add more tests of pow. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (pow_test): Use ALL_RM_TEST. (pow_tonearest_test_data): Remove. (pow_test_tonearest): Likewise. (pow_towardzero_test_data): Likewise. (pow_test_towardzero): Likewise. (pow_downward_test_data): Likewise. (pow_test_downward): Likewise. (pow_upward_test_data): Likewise. (pow_test_upward): Likewise. (main): Don't call removed functions. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* [BZ #6803] Set errno for scalbln, scalbnStefan Liebler2014-06-202-4/+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 erf underflow handling near 0 (bug 16516).Joseph Myers2014-05-141-2/+10
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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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* Fix implicit __isinf declarations in exp.Joseph Myers2014-03-241-0/+1
| | | | | | | | | | | | | | | My recent exp patch introduced warnings about implicit __isinf declarations in exp because e_exp.c didn't include <math.h>. This patch fixes this. Because <math.h> can't be included after <math_private.h> (because of macro definitions of __nan*), it was necessary to put an include in sysdeps/x86_64/fpu/multiarch/e_exp.c as well. Tested x86_64. * sysdeps/ieee754/dbl-64/e_exp.c: Include <math.h>. * sysdeps/x86_64/fpu/multiarch/e_exp.c [HAVE_FMA4_SUPPORT || HAVE_AVX_SUPPORT]: Likewise.
* Fix dbl-64 exp overflow/underflow in non-default rounding modes (bug 16284).Joseph Myers2014-03-241-143/+153
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | The dbl-64 version of exp needs round-to-nearest mode for its internal computations, but that has the consequence of inappropriate overflowing and underflowing results in other rounding modes. This patch fixes this by recomputing the relevant results in cases where the round-to-nearest result overflows to infinity or underflows to zero (most of the diffs are actually just consequent reindentation). Tests are enabled in all rounding modes for complex functions using exp - but not for cexp because it turns out there are bugs causing spurious underflows for cexp for some tests, which will need to be fixed separately (I suspect ccos ccosh csin csinh ctan ctanh have similar bugs, just not shown by the present set of test inputs). Tested x86_64 and x86 and ulps updated accordingly. [BZ #16284] * sysdeps/ieee754/dbl-64/e_exp.c (__ieee754_exp): Use original rounding mode to recompute results that overflow to infinity or underflow to zero. * math/auto-libm-test-in: Don't mark tests as expected to fail for bug 16284. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (ccos_test): Use ALL_RM_TEST. (ccosh_test): Likewise. (csin_test_data): Use plus_oflow. (csin_test): Use ALL_RM_TEST. (csinh_test_data): Use plus_oflow. (csinh_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
* Fix log (1) in round-downward mode (bug 16731).Joseph Myers2014-03-211-0/+4
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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.
* Fix sign of input to bsloww1 (BZ #16623)Siddhesh Poyarekar2014-02-271-6/+10
| | | | | | | | In 84ba214c, I removed some redundant sign computations and in the process, I incorrectly got rid of a temporary variable, thus passing the absolute value of the input to bsloww1. This caused #16623. This fix undoes the incorrect change.
* Use glibc_likely instead __builtin_expect.Ondřej Bílka2014-02-1025-74/+74
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* Update copyright notices with scripts/update-copyrightsAllan McRae2014-01-0188-88/+88
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