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glibc/sysdeps/ieee754/ldbl-96
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Joseph Myers 2ca725c594 Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047). 
The threshold in ldbl-96 atanhl for when to return the argument,
0x1p-28, is a bit too big, and that in ldbl-128ibm atanhl is much too
big (the relevant condition being x^3/3 being < 0.5ulp of x),
resulting in errors a bit above the limits of those considered
acceptable in glibc in the ldbl-96 case, and in large errors in the
ldbl-128ibm case.  This patch changes those implementations to use
more appropriate thresholds and adds tests around the thresholds for
various formats.

Tested for x86_64, x86 and powerpc.  x86_64 and x86 ulps updated
accordingly.

	[BZ #18046]
	[BZ #18047]
	* sysdeps/ieee754/ldbl-128ibm/e_atanhl.c (__ieee754_atanhl): Use
	0x1p-56L as threshold for just returning the argument.
	* sysdeps/ieee754/ldbl-96/e_atanhl.c (__ieee754_atanhl): Use
	0x1p-32L as threshold for just returning the argument.
	* math/auto-libm-test-in: Add more tests of atanh.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulp: Likewise.
2015-02-27 17:48:37 +00:00
..
e_acoshl.c Fix acosh (1) in round-downward mode (bug 16927). 2014-05-14 12:35:40 +00:00
e_asinl.c Fix asin missing underflows (bug 16351). 2015-02-26 17:18:54 +00:00
e_atanhl.c Fix ldbl-96, ldbl-128ibm atanhl inaccuracy (bug 18046, bug 18047). 2015-02-27 17:48:37 +00:00
e_coshl.c Fix cosh spurious underflows from expm1 (bug 16354), inaccurate results near 0 (bug 17061). 2014-06-23 20:20:10 +00:00
e_gammal_r.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_hypotl.c Fix hypot handling of subnormals (bug 16316, bug 16330). 2013-12-17 13:42:13 +00:00
e_j0l.c Avoid uninitialized warnings in Bessel functions. 2015-02-26 21:49:19 +00:00
e_j1l.c Avoid uninitialized warnings in Bessel functions. 2015-02-26 21:49:19 +00:00
e_jnl.c Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562). 2014-06-27 14:52:13 +00:00
e_lgammal_r.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
e_rem_pio2l.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_sinhl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
gamma_product.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
gamma_productl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
k_cosl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
k_sinl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
k_tanl.c Fix tan, tanl for large inputs. 2012-03-16 20:05:37 +00:00
ldbl2mpn.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
math_ldbl.h Fix a typo. 2000-12-21 23:30:28 +00:00
mpn2ldbl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
printf_fphex.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_asinhl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_cbrtl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_copysignl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_cosl.c Implement ldbl-96 sinl / cosl / sincosl (bug 13851). 2012-03-16 12:30:05 +00:00
s_erfl.c Fix erf underflow handling near 0 (bug 16516). 2014-05-14 12:34:03 +00:00
s_fma.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fmal.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_frexpl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_isinf_nsl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_issignalingl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_llrintl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_llroundl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_lrintl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_lroundl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_modfl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_nexttoward.c Fix nexttoward bugs (bugs 2550, 2570). 2012-05-01 15:37:43 +00:00
s_nexttowardf.c Fix nexttoward bugs (bugs 2550, 2570). 2012-05-01 15:37:43 +00:00
s_remquol.c Fix sign of remquo zero remainder in round-downward mode (bug 17987). 2015-02-17 00:41:50 +00:00
s_roundl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_scalblnl.c Fix ldbl-96 scalblnl underflowing results (bug 17803). 2015-01-12 23:02:14 +00:00
s_signbitl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_sincosl.c Fix sincos errno setting (bug 15467). 2015-02-11 23:17:25 +00:00
s_sinl.c Implement ldbl-96 sinl / cosl / sincosl (bug 13851). 2012-03-16 12:30:05 +00:00
s_tanhl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_tanl.c Fix tan, tanl for large inputs. 2012-03-16 20:05:37 +00:00
strtold_l.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
t_sincosl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
w_expl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
x2y2m1.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
x2y2m1l.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00