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e02920bc02
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. |
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| .. | ||
| e_acosf.c | ||
| e_acoshf.c | ||
| e_asinf.c | ||
| e_atan2f.c | ||
| e_atanhf.c | ||
| e_coshf.c | ||
| e_exp2f.c | ||
| e_expf.c | ||
| e_fmodf.c | ||
| e_gammaf_r.c | ||
| e_hypotf.c | ||
| e_ilogbf.c | ||
| e_j0f.c | ||
| e_j1f.c | ||
| e_jnf.c | ||
| e_lgammaf_r.c | ||
| e_log2f.c | ||
| e_log10f.c | ||
| e_logf.c | ||
| e_powf.c | ||
| e_rem_pio2f.c | ||
| e_remainderf.c | ||
| e_sinhf.c | ||
| e_sqrtf.c | ||
| k_cosf.c | ||
| k_rem_pio2f.c | ||
| k_sinf.c | ||
| k_tanf.c | ||
| math_private.h | ||
| mpn2flt.c | ||
| s_asinhf.c | ||
| s_atanf.c | ||
| s_cbrtf.c | ||
| s_ceilf.c | ||
| s_copysignf.c | ||
| s_cosf.c | ||
| s_erff.c | ||
| s_expm1f.c | ||
| s_fabsf.c | ||
| s_finitef.c | ||
| s_floorf.c | ||
| s_fpclassifyf.c | ||
| s_frexpf.c | ||
| s_isinf_nsf.c | ||
| s_isinff.c | ||
| s_isnanf.c | ||
| s_issignalingf.c | ||
| s_llrintf.c | ||
| s_llroundf.c | ||
| s_log1pf.c | ||
| s_logbf.c | ||
| s_lrintf.c | ||
| s_lroundf.c | ||
| s_modff.c | ||
| s_nearbyintf.c | ||
| s_nextafterf.c | ||
| s_remquof.c | ||
| s_rintf.c | ||
| s_roundf.c | ||
| s_scalblnf.c | ||
| s_scalbnf.c | ||
| s_signbitf.c | ||
| s_sincosf.c | ||
| s_sinf.c | ||
| s_tanf.c | ||
| s_tanhf.c | ||
| s_truncf.c | ||
| t_exp2f.h | ||
| w_expf.c | ||