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7c84a5042f
glibc/sysdeps/i386/fpu
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Joseph Myers 7c84a5042f Add more tests of log2. 
In testing for x86_64 on an AMD processor, I observed libm test
failures of the form:

testing long double (without inline functions)
Failure: Test: log2_downward (0x2.b7e151628aed4p+0)
Result:
 is:          1.44269504088896356633e+00   0xb.8aa3b295c17f67600000p-3
 should be:   1.44269504088896356622e+00   0xb.8aa3b295c17f67500000p-3
 difference:  1.08420217248550443400e-19   0x8.00000000000000000000p-66
 ulp       :  1.0000
 max.ulp   :  0.0000
Maximal error of `log2_downward'
 is      : 1 ulp
 accepted: 0 ulp

These issues arise because the maximum ulps when regenerating on one
processor are not the same as on another processor, so regeneration on
several processors may be needed when updating libm-test-ulps to avoid
failures for some users testing glibc - but such regeneration on
multiple processors is inconvenient.  Causes can be: on x86 and, for
x86_64, for long double, variation in results of x87 instructions for
transcendental operations between processors; on x86, variation in
compiler excess precision between compiler versions and
configurations; on any processor where the compiler may contract
expressions using fused multiply-add, variation in what contraction
occurs.

Although it's hard to be sure libm-test-ulps covers all ulps that may
be seen in any configuration for the given architecture, in practice
it helps simply to add wider test coverage to make it more likely
that, when testing on one processor, the ulps seen are the biggest
that can be seen for that function on that processor, and hopefully
they are also the biggest that can be seen for that function in other
configurations for that architecture.  Thus, this patch adds some
tests of log2 that increase the ulps I see on x86_64 on an Intel
processor, so that hopefully future from-scratch regenerations on that
processor will produce ulps big enough not to have errors from testing
on AMD processors.  These tests were found by randomly generating
inputs and seeing what produced ulps larger than those currently in
libm-test-ulps.  Of course such increases also improve the accuracy of
the empirical table of known ulps generated from libm-test-ulps files
that goes in the manual.

Tested for x86_64 and x86 and ulps updated accordingly.

	* math/auto-libm-test-in: Add more tests of log2.
	* math/auto-libm-test-out: Regenerated.
	* sysdeps/i386/fpu/libm-test-ulps: Update.
	* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2015-03-24 23:06:28 +00:00
..
doasin.c
e_acos.S Fix x86 acos near 1 (bug 13942). 2012-04-30 18:56:39 +00:00
e_acosf.S Fix acos (-1) in round-downwards mode on x86 (bug 14034). 2012-04-30 09:38:06 +00:00
e_acosh.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_acoshf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_acoshl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_acosl.c Fix x86 acos near 1 (bug 13942). 2012-04-30 18:56:39 +00:00
e_asin.S Fix asin missing underflows (bug 16351). 2015-02-26 17:18:54 +00:00
e_asinf.S Fix asin missing underflows (bug 16351). 2015-02-26 17:18:54 +00:00
e_atan2.S Fix atan / atan2 missing underflows (bug 15319). 2015-02-18 21:10:49 +00:00
e_atan2f.S Fix atan / atan2 missing underflows (bug 15319). 2015-02-18 21:10:49 +00:00
e_atan2l.c Optimize libm 2011-10-12 11:27:51 -04:00
e_atanh.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_atanhf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_atanhl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_exp2.S Optimize libm 2011-10-12 11:27:51 -04:00
e_exp2f.S Optimize libm 2011-10-12 11:27:51 -04:00
e_exp2l.S Fix exp2 spurious underflows (bug 16560). 2015-02-12 19:02:45 +00:00
e_exp10.S Optimize libm 2011-10-12 11:27:51 -04:00
e_exp10f.S Optimize libm 2011-10-12 11:27:51 -04:00
e_exp10l.S Fix exp10 inaccuracy and exceptions (bugs 13884, 13914). 2012-05-06 18:23:44 +00:00
e_exp.S Optimize exp 2011-10-15 20:22:59 -04:00
e_expf.S Optimize exp 2011-10-15 20:22:59 -04:00
e_expl.S Fix x86/x86_64 expm1l spurious underflow exceptions (bug 16539). 2014-06-24 21:00:08 +00:00
e_fmod.S Optimize libm 2011-10-12 11:27:51 -04:00
e_fmodf.S Optimize libm 2011-10-12 11:27:51 -04:00
e_fmodl.c Optimize libm 2011-10-12 11:27:51 -04:00
e_hypot.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_hypotf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_ilogb.S Remove useless __ilogb*_finite aliases 2012-04-18 00:40:13 +02:00
e_ilogbf.S Remove useless __ilogb*_finite aliases 2012-04-18 00:40:13 +02:00
e_ilogbl.S Remove useless __ilogb*_finite aliases 2012-04-18 00:40:13 +02:00
e_log2.S Fix log2 (1) in round-downward mode (bug 17042). 2014-06-10 12:07:15 +00:00
e_log2f.S Fix log2 (1) in round-downward mode (bug 17042). 2014-06-10 12:07:15 +00:00
e_log2l.S Fix log2 (1) in round-downward mode (bug 17042). 2014-06-10 12:07:15 +00:00
e_log10.S Fix log10 (1) in round-downward mode (bug 16977). 2014-05-23 12:07:50 +00:00
e_log10f.S Fix log10 (1) in round-downward mode (bug 16977). 2014-05-23 12:07:50 +00:00
e_log10l.S Fix log10 (1) in round-downward mode (bug 16977). 2014-05-23 12:07:50 +00:00
e_log.S Fix log (1) in round-downward mode (bug 16731). 2014-03-21 18:13:58 +00:00
e_logf.S Fix log (1) in round-downward mode (bug 16731). 2014-03-21 18:13:58 +00:00
e_logl.S Fix __ieee754_logl (-LDBL_MAX) in FE_DOWNWARD mode (bug 17022). 2014-06-18 12:32:01 +00:00
e_pow.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_powf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_powl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
e_rem_pio2.c
e_remainder.S Optimize libm 2011-10-12 11:27:51 -04:00
e_remainderf.S Optimize libm 2011-10-12 11:27:51 -04:00
e_remainderl.S Optimize libm 2011-10-12 11:27:51 -04:00
e_scalb.S Fix x86/x86_64 scalb (qNaN, -Inf) (bug 16783). 2015-02-24 17:30:02 +00:00
e_scalbf.S Fix x86/x86_64 scalb (qNaN, -Inf) (bug 16783). 2015-02-24 17:30:02 +00:00
e_scalbl.S Fix x86/x86_64 scalb (qNaN, -Inf) (bug 16783). 2015-02-24 17:30:02 +00:00
e_sqrt.S Fix x86 sqrt rounding (bug 14032). 2013-11-29 16:31:16 +00:00
e_sqrtf.S Optimize libm 2011-10-12 11:27:51 -04:00
e_sqrtl.c Optimize libm 2011-10-12 11:27:51 -04:00
fclrexcpt.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
fedisblxcpt.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
feenablxcpt.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
fegetenv.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
fegetexcept.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
fegetround.c Fix libm fegetround namespace (bug 17748). 2015-01-02 20:44:42 +00:00
feholdexcpt.c Fix libm feholdexcept namespace (bug 17748). 2015-01-05 23:06:14 +00:00
fenv_private.h Fix yn overflow handling in non-default rounding modes (bug 16561, bug 16562). 2014-06-27 14:52:13 +00:00
fesetenv.c Fix libm fesetenv namespace (bug 17748). 2015-01-06 23:36:20 +00:00
fesetround.c Fix libm fesetround namespace (bug 17748). 2015-01-07 00:41:23 +00:00
feupdateenv.c Fix libm feupdateenv namespace (bug 17748). 2015-01-07 19:01:20 +00:00
fgetexcptflg.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
fraiseexcpt.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
fsetexcptflg.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
ftestexcept.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
halfulp.c
Implies Use x86_64 fpu/bits/fenv.h for i386 and x86_64 2012-06-06 10:13:19 -07:00
k_rem_pio2l.c
libm-test-ulps Add more tests of log2. 2015-03-24 23:06:28 +00:00
math_private.h Optimize private 387 fenv access; share code between i386 and x86_64. 2012-03-19 06:51:39 -07:00
math-tests.h Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
mpatan2.c
mpatan.c
mpexp.c
mplog.c
mpsqrt.c
s_asinh.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_asinhf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_asinhl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_atan.S Fix atan / atan2 missing underflows (bug 15319). 2015-02-18 21:10:49 +00:00
s_atanf.S Fix atan / atan2 missing underflows (bug 15319). 2015-02-18 21:10:49 +00:00
s_atanl.c
s_cbrt.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_cbrtf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_cbrtl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_ceil.S Add CFI to x86 ceil / floor / trunc (bug 16681). 2014-06-16 22:54:46 +00:00
s_ceilf.S Add CFI to x86 ceil / floor / trunc (bug 16681). 2014-06-16 22:54:46 +00:00
s_ceill.S Add CFI to x86 ceil / floor / trunc (bug 16681). 2014-06-16 22:54:46 +00:00
s_copysign.S
s_copysignf.S
s_copysignl.S
s_expm1.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_expm1f.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_expm1l.S Fix x86/x86_64 expm1l inaccuracy and exceptions (bugs 13885, 13923). 2012-05-07 19:13:08 +00:00
s_fabs.S
s_fabsf.S
s_fabsl.S
s_fdim.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fdimf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fdiml.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_finite.S
s_finitef.S
s_finitel.S
s_floor.S Add CFI to x86 ceil / floor / trunc (bug 16681). 2014-06-16 22:54:46 +00:00
s_floorf.S Add CFI to x86 ceil / floor / trunc (bug 16681). 2014-06-16 22:54:46 +00:00
s_floorl.S Add CFI to x86 ceil / floor / trunc (bug 16681). 2014-06-16 22:54:46 +00:00
s_fmax.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fmaxf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fmaxl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fmin.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fminf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fminl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_fpclassifyl.c Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_frexp.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_frexpf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_frexpl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_isinfl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_isnanl.c Use <> for math.h and math_private.h everywhere. 2012-03-09 16:09:10 -08:00
s_llrint.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_llrintf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_llrintl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_log1p.S Remove __ELF__ conditionals 2012-02-07 00:41:11 +01:00
s_log1pf.S Remove __ELF__ conditionals 2012-02-07 00:41:11 +01:00
s_log1pl.S Fix log1pl (LDBL_MAX) in FE_UPWARD mode (bug 16564). 2014-05-14 12:38:56 +00:00
s_logb.S
s_logbf.S
s_logbl.c
s_lrint.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_lrintf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_lrintl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_nearbyint.S * intl/Makefile (tst-gettext[45].out): Pass also $(run-program-prefix) 2005-05-04 17:58:13 +00:00
s_nearbyintf.S * intl/Makefile (tst-gettext[45].out): Pass also $(run-program-prefix) 2005-05-04 17:58:13 +00:00
s_nearbyintl.S * intl/Makefile (tst-gettext[45].out): Pass also $(run-program-prefix) 2005-05-04 17:58:13 +00:00
s_nextafterl.c Fix nextafter overflow in non-default rounding modes (bug 16677). 2014-03-11 22:24:00 +00:00
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_remquo.S Remove remaining bounded-pointers support from i386 .S files. 2013-02-21 22:21:52 +00:00
s_remquof.S Remove remaining bounded-pointers support from i386 .S files. 2013-02-21 22:21:52 +00:00
s_remquol.S Remove remaining bounded-pointers support from i386 .S files. 2013-02-21 22:21:52 +00:00
s_rint.S
s_rintf.S
s_rintl.c
s_scalbln.c
s_scalblnf.c
s_scalblnl.c
s_scalbn.S Add compat symbols for scalb* in i386 2014-06-25 08:47:13 +05:30
s_scalbnf.S Add compat symbols for scalb* in i386 2014-06-25 08:47:13 +05:30
s_scalbnl.S Add compat symbols for scalb* in i386 2014-06-25 08:47:13 +05:30
s_significand.S
s_significandf.S
s_significandl.c
s_trunc.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_truncf.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
s_truncl.S Update copyright dates with scripts/update-copyrights. 2015-01-02 16:29:47 +00:00
slowexp.c
slowpow.c
t_exp.c
Versions
w_sqrt.c Fix x86 sqrt rounding (bug 14032). 2013-11-29 16:31:16 +00:00