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424c4f60ed
glibc/sysdeps/x86_64/fpu
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Szabolcs Nagy 424c4f60ed Add new pow implementation 
The algorithm is exp(y * log(x)), where log(x) is computed with about
1.3*2^-68 relative error (1.5*2^-68 without fma), returning the result
in two doubles, and the exp part uses the same algorithm (and lookup
tables) as exp, but takes the input as two doubles and a sign (to handle
negative bases with odd integer exponent).  The __exp1 internal symbol
is no longer necessary.

There is separate code path when fma is not available but the worst case
error is about 0.54 ULP in both cases.  The lookup table and consts for
log are 4168 bytes.  The .rodata+.text is decreased by 37908 bytes on
aarch64.  The non-nearest rounding error is less than 1 ULP.

Improvements on Cortex-A72 compared to current glibc master:
pow thruput: 2.40x in [0.01 11.1]x[0.01 11.1]
pow latency: 1.84x in [0.01 11.1]x[0.01 11.1]

Tested on
aarch64-linux-gnu (defined __FP_FAST_FMA, TOINT_INTRINSICS) and
arm-linux-gnueabihf (!defined __FP_FAST_FMA, !TOINT_INTRINSICS) and
x86_64-linux-gnu (!defined __FP_FAST_FMA, !TOINT_INTRINSICS) and
powerpc64le-linux-gnu (defined __FP_FAST_FMA, !TOINT_INTRINSICS) targets.

	* NEWS: Mention pow improvements.
	* math/Makefile (type-double-routines): Add e_pow_log_data.
	* sysdeps/generic/math_private.h (__exp1): Remove.
	* sysdeps/i386/fpu/e_pow_log_data.c: New file.
	* sysdeps/ia64/fpu/e_pow_log_data.c: New file.
	* sysdeps/ieee754/dbl-64/Makefile (CFLAGS-e_pow.c): Allow fma
	contraction.
	* sysdeps/ieee754/dbl-64/e_exp.c (__exp1): Remove.
	(exp_inline): Remove.
	(__ieee754_exp): Only single double input is handled.
	* sysdeps/ieee754/dbl-64/e_pow.c: Rewrite.
	* sysdeps/ieee754/dbl-64/e_pow_log_data.c: New file.
	* sysdeps/ieee754/dbl-64/math_config.h (issignaling_inline): Define.
	(__pow_log_data): Define.
	* sysdeps/ieee754/dbl-64/upow.h: Remove.
	* sysdeps/ieee754/dbl-64/upow.tbl: Remove.
	* sysdeps/m68k/m680x0/fpu/e_pow_log_data.c: New file.
	* sysdeps/x86_64/fpu/multiarch/Makefile (CFLAGS-e_pow-fma.c): Allow fma
	contraction.
	(CFLAGS-e_pow-fma4.c): Likewise.
2018-09-19 10:04:51 +01:00
..
multiarch Add new pow implementation 2018-09-19 10:04:51 +01:00
e_acosl.c Update. 2001-09-19 10:37:31 +00:00
e_atan2l.c Update. 2001-09-19 10:37:31 +00:00
e_exp2l.S Refactor x86_64 libm code forcing underflow exceptions. 2015-09-24 22:25:30 +00:00
e_exp10l.S Fix exp10 inaccuracy and exceptions (bugs 13884, 13914). 2012-05-06 18:23:44 +00:00
e_expl.S Use libm_alias_ldouble in sysdeps/x86_64/fpu. 2017-11-17 23:39:11 +00:00
e_fmodl.S Optimize libm 2011-10-12 11:27:51 -04:00
e_ilogbl.S Remove useless __ilogb*_finite aliases 2012-04-18 00:40:13 +02:00
e_log2l.S Fix i386/x86_64 log2l (sNaN) (bug 20235). 2016-06-09 18:04:30 +00:00
e_log10l.S Fix i386/x86_64 log10l (sNaN) (bug 20228). 2016-06-08 22:59:18 +00:00
e_logl.S Fix i386/x86_64 logl (sNaN) (bug 20227). 2016-06-08 22:24:06 +00:00
e_powl.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
e_remainderl.S Optimize libm 2011-10-12 11:27:51 -04:00
e_scalbl.S Fix i386/x86_64 scalbl with sNaN input (bug 20296). 2016-06-23 22:17:41 +00:00
e_sqrt.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
e_sqrtf.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
e_sqrtl.c Update. 2001-09-19 10:37:31 +00:00
fclrexcpt.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fedisblxcpt.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
feenablxcpt.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fegetenv.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fegetexcept.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fegetmode.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fegetround.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
feholdexcpt.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fesetenv.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fesetexcept.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fesetmode.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fesetround.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
feupdateenv.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fgetexcptflg.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fraiseexcpt.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
fsetexcptflg.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
ftestexcept.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
Implies Use x86_64 fpu/bits/fenv.h for i386 and x86_64 2012-06-06 10:13:19 -07:00
libm-test-ulps Add new exp and exp2 implementations 2018-09-05 16:22:00 +01:00
libm-test-ulps-name Do not hardcode platform names in manual/libm-err-tab.pl (bug 14139). 2016-11-04 16:49:06 +00:00
Makefile Suppress internal declarations for most of the testsuite. 2017-05-11 19:27:59 -04:00
math_ldbl.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
math-tests-arch.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
math-tests-snan.h Move SNAN_TESTS_* out of math-tests.h. 2018-08-10 19:22:01 +00:00
printf_fphex.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_atanl.c Update. 2001-09-19 10:37:31 +00:00
s_ceill.S Use libm_alias_ldouble in sysdeps/x86_64/fpu. 2017-11-17 23:39:11 +00:00
s_copysign.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_copysignf.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_copysignl.S Use libm_alias_ldouble in sysdeps/x86_64/fpu. 2017-11-17 23:39:11 +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.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fabsf.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fabsl.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_finitel.S Update. 2002-09-10 01:40:26 +00:00
s_floorl.S Use libm_alias_ldouble in sysdeps/x86_64/fpu. 2017-11-17 23:39:11 +00:00
s_fmax.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fmaxf.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fmaxl.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fmin.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fminf.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fminl.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_fpclassifyl.c Update. 2001-09-19 10:37:31 +00:00
s_isinfl.c Update. 2001-09-19 10:37:31 +00:00
s_isnanl.c Update. 2001-09-19 10:37:31 +00:00
s_llrint.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_llrintf.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_llrintl.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_log1pl.S Fix i386/x86_64 log1pl (sNaN) (bug 20229). 2016-06-08 23:11:42 +00:00
s_logbl.c Update. 2001-09-19 10:37:31 +00:00
s_lrint.S lrint and llrint implementation for x86-64. 2002-04-08 08:14:22 +00:00
s_lrintf.S lrint and llrint implementation for x86-64. 2002-04-08 08:14:22 +00:00
s_lrintl.S lrint and llrint implementation for x86-64. 2002-04-08 08:14:22 +00:00
s_nearbyintl.S Use libm_alias_ldouble in sysdeps/x86_64/fpu. 2017-11-17 23:39:11 +00:00
s_nextafterl.c Update. 2001-09-19 10:37:31 +00:00
s_nexttoward.c Update. 2001-09-19 10:37:31 +00:00
s_nexttowardf.c Update. 2001-09-19 10:37:31 +00:00
s_rintl.c Update. 2001-09-19 10:37:31 +00:00
s_scalbnl.S Make scalbn set errno (bug 6803). 2015-09-16 21:11:00 +00:00
s_signbit.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_signbitf.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
s_significandl.c Update. 2001-09-19 10:37:31 +00:00
s_sincosf.S x86-64: Add sincosf with vector FMA 2018-01-08 08:04:40 -08:00
s_truncl.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
svml_d_cos2_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_d_cos8_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
svml_d_exp2_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_d_exp8_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
svml_d_exp_data.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
svml_d_exp_data.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
svml_d_log2_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
svml_d_log4_core_avx.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_d_log_data.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_d_pow_data.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_s_expf4_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_s_expf_data.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_s_logf4_core.S Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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svml_s_wrapper_impl.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-double-libmvec-alias-avx2-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx2-mod.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx2.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx512-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx512-mod.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx512.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx-mod.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-avx.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-double-libmvec-alias-mod.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-double-libmvec-alias.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-double-libmvec-sincos-avx2-main.c Don't compile do_test with -mavx/-mavx/-mavx512 2016-07-27 11:53:15 -07:00
test-double-libmvec-sincos-avx2.c Fixed wrong vector sincos/sincosf ABI to have it compatible with 2016-07-01 14:15:38 +03:00
test-double-libmvec-sincos-avx512-main.c Don't compile do_test with -mavx/-mavx/-mavx512 2016-07-27 11:53:15 -07:00
test-double-libmvec-sincos-avx512.c Fixed wrong vector sincos/sincosf ABI to have it compatible with 2016-07-01 14:15:38 +03:00
test-double-libmvec-sincos-avx-main.c Don't compile do_test with -mavx/-mavx/-mavx512 2016-07-27 11:53:15 -07:00
test-double-libmvec-sincos-avx.c Fixed wrong vector sincos/sincosf ABI to have it compatible with 2016-07-01 14:15:38 +03:00
test-double-libmvec-sincos-main.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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test-double-vlen2-wrappers.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
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test-float-libmvec-alias-avx2-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx2-mod.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx2.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx512-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx512-mod.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx512.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx-mod.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-avx.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-main.c Added tests to ensure linkage through libmvec *_finite aliases which are 2016-06-20 21:15:50 +03:00
test-float-libmvec-alias-mod.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-libmvec-alias.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-libmvec-sincosf-avx2-main.c Don't compile do_test with -mavx/-mavx/-mavx512 2016-07-27 11:53:15 -07:00
test-float-libmvec-sincosf-avx2.c Fixed wrong vector sincos/sincosf ABI to have it compatible with 2016-07-01 14:15:38 +03:00
test-float-libmvec-sincosf-avx512-main.c Don't compile do_test with -mavx/-mavx/-mavx512 2016-07-27 11:53:15 -07:00
test-float-libmvec-sincosf-avx512.c Fixed wrong vector sincos/sincosf ABI to have it compatible with 2016-07-01 14:15:38 +03:00
test-float-libmvec-sincosf-avx-main.c Don't compile do_test with -mavx/-mavx/-mavx512 2016-07-27 11:53:15 -07:00
test-float-libmvec-sincosf-avx.c Fixed wrong vector sincos/sincosf ABI to have it compatible with 2016-07-01 14:15:38 +03:00
test-float-libmvec-sincosf-main.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-libmvec-sincosf.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen4-wrappers.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen8-avx2-wrappers.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen8-avx2.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen8-wrappers.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen8.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen16-wrappers.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-float-vlen16.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
test-libmvec-alias-mod.c Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00
Versions Vector sincosf for x86_64 and tests. 2015-06-18 20:11:27 +03:00
x86_64-math-asm.h Update copyright dates with scripts/update-copyrights. 2018-01-01 00:32:25 +00:00